The expression 16t-3t is not equivalent to 3t-16t because the negative sign belongs to the term 3t
For t = 2, 16t - 3t is equal to 26 and 3t - 16t is equal to -26
We know that an expression is nothing but a mathematical sentence with a minimum of two numbers or variables and at least one algebraic operation.
Also, if two expressions are equivalent expression , then the two expressions must have the same value when we substitute the same values for the variables.
Here we have been given two mathemtical expressions:
16t - 3t and 3t - 16t
For t = 2,
16(2) - 3(2)
= 32 - 6
= 26
and 3(2) - 16(2)
= 6 - 32
= -26
This means, 16t - 3t ≠ 3t - 16t
We can oberve that 16t - 3t = -(-16 + 3t)
= -(3t - 16)
This means, 16t-3t is not equivalent to 3t-16t because the negative sign belongs to the term 3t
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Select all the measurements that are equivalent to 48 centimeters.
0 0. 48 m
o 4. 8 mm
0 480 mm
o 4,800 m
0 48,000 km
The all the measurements that are equivalent to 48 centimeters are (a) 0.48 m and (c) 480 mm. .
the number is 48 centimeter , we have to express the number in various units ,
For (a) and (d) ; we know the conversion that 100 cm = 1 m , so , 48 cm will be = 48/100 = 0.48m .
For (b) and (c) ; we know that 1 cm = 10 mm , so , 48 cm = 48 × 10 = 480 mm
For
For (e) , we know that 100000 cm = 1 km , so , 48 cm = 48/100000 km
= 0.00048 km .
Therefore , the equivalent measurements are (a) 0.48 m and (c) 480 mm.
The given question is incomplete , the complete question is
Select all the measurements that are equivalent to 48 centimeters.
(a) 0.48 m
(b) 4.8 mm
(c) 480 mm
(d) 4,800 m
(e) 48,000 km
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Can someone check my answer for the first one and help me with the rest? Thank you!
Step-by-step explanation:
First one is good, all you have to do is combine like terms
-28x and +4x are like terms because they both have X
Combining those is -28x+4x=+24x
Making #1 7+24x
Answer:
(Their all down there)
Step-by-step explanation:
Okie dokie so! Your answer for 17 is technically correct but you need to imply it further so it would be [tex]7-24x[/tex]
18. [tex]-2(-6+5k)-1[/tex]
do distributive property
[tex]12-10k-1[/tex] combine like terms (12 and -1)
[tex]-10k+11[/tex]
19. [tex]6(v-5)+1\\[/tex]
do distributive property
[tex]6v-30+1[/tex] combine like terms (-30 and 1)
[tex]6v-29\\[/tex]
20. [tex]10(n+5)-5n[/tex]
do distributive property
[tex]10n+50-5n[/tex] combine like terms (10n and -5n)
[tex]5n+50[/tex]
21. [tex]-7(8+8x)-6x[/tex]
do distributive property
-[tex]56-56x-6x[/tex] combine like terms (-56x and -6x)
[tex]-56-62x[/tex]
22. [tex]6(x-9)+5[/tex]
do distributive property
[tex]6x-54+5[/tex] combine like terms (-54 and 5)
[tex]6x-49[/tex]
An employee receives a 2% raise once per year. If the employee initial salary is $78,500.00, what will the employee’s salary be after 10 years
Answer:
Step-by-step explanation:
78,500 x 0.02 = 1,570--year 1 raise
(78,500 + 1,570) x 0.02 = 1,601.4--year 2 raise
(78,500 + 1,570+ 1,601.4) x 0.02 = 1,633.428--year 3 raise
(78,500 + 1,570+ 1,601.4+1,633.428) x 0.02 = 1666.1--year 4 raise
(78,500 + 1,570+ 1,601.4+1,633.428+1666.1) x 0.02 = 1699.42--year 5 raise
just keep doing this till you get to year 10 and then add up the total of money gained to the initial salary
3. Sketch the distance-time graphs for the following scenarios.
a. Stand one meter from the sensor, walk
at a constant (steady) slow pace away
from the sensor.
b. Stand one meter from the sensor, walk
away from the sensor changing your
pace from slow to fast.
The distance-time graphs for the given scenarios have been attached below. The solution has been obtained using distance-time function.
What is distance-time function?
The distance between a person and an object through time is described by distance-time functions. Depending on the kind of movement, a distance-time function may be linear or non-linear, increasing, decreasing, or constant. We need to tell where the object starts, what direction it moves in, how quickly it moves, and whether it is speeding up, slowing down, or travelling at a constant speed in order to explain a distance-time function.
a. The distance-time graph for this scenario is the first graph wherein the line is less steeper than the other graph because the speed is constant.
b. The distance-time graph for this scenario is the second graph wherein the line is steeper than the first one because the speed is changing from slow to fast.
Hence, the distance-time graphs for the given scenarios have been obtained.
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NEED HELP ASAP - Algebra 2
It is possible to have a rational function where the denominator can have no zeroes and thus the function itself will have no singularity. Such a function will have no vertical asymptotes.
What is a rational function?A rational function is one that can be written as a polynomial divided by a polynomial. Since polynomials are defined everywhere, the domain of a rational function is the set of all numbers except the zeros of the denominator. Example 1. f(x) = x / (x - 3). The denominator has only one zero, x = 3.
Given, In a rational function, R(x): = P(x)/Q(x)
p/q is a form of rational function.
q is not zero since divisor cannot be 0.
If we divide any function by 0 the operation is considered as undefined.
A rational function has at most one horizontal or oblique asymptote, and possibly many vertical asymptotes.
First, factor both the numerator and the denominator. Then, cancel out any common factors. A common factor does not give rise to a vertical asymptote, but it does create a hole if the zero of the common factor is real. Next, find the zeros for all of the remaining factors in the denominator after canceling out the common factors. For each zero in the denominator, there will be a vertical asymptote at that zero.
Therefore, The simples example I can give you for such a rational function would the f(X) = X, defined over the real numbers.
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Ryan needs 3 and 1/4 cups of flour for the cookie recipe she is baking. She has already added 2 and 1/2 cups of flour. How much more flour does she need to add? Please help-
The quantity of more flour that she needs to add would be = 3/4
What is a fraction?A fraction is defined as the representation of the part of a whole data in a form of numerator and denominator.
The quantity of flour Ryan needs for baking = 3¼
The quantity of flour she has already added = 2½
The remaining amount that she needs to add;
= 3¼-2½
= 3/4
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Suppose that when your friend was born, your friend's parents deposited $5000 in an account paying 5.7% interest compounded quarterly. What will the account balance be after 19 years?
Answer:
$337,807.321.
Step-by-step explanation:
every year has 4 quarters, so 19 years = 76 quarters, so it compounds 76 times = (1+5.7%)^76. so punch into the calculator 1.057 then the "xy"button, then 76, it'll spit out 67.56146111 number. then hit times 5000. which is $337,807.321. power of compounding. More than a quarter million $$$.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$5000\\ r=rate\to 5.7\%\to \frac{5.7}{100}\dotfill &0.057\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &19 \end{cases} \\\\\\ A = 5000\left(1+\frac{0.057}{4}\right)^{4\cdot 19} \implies A=5000(1.01425)^{76}\implies A \approx 14655.18[/tex]
A triangle has two sides of length 18.1 and 16.6. What compound inequality describes the possible lengths for the third side, x?
Answer:
1.5 < x < 34.7
Step-by-step explanation:
You want a compound inequality describing possible lengths (x) for the third side of a triangle with sides 18.1 and 16.6.
Triangle inequalityThe shortest side cannot be any shorter than the difference of the two known sides:
18.1 -16.6 = 1.5
The longest side cannot be any longer than the sum of the two known sides:
18.1 +16.6 = 34.7
The possible lengths of the third side are given by ...
1.5 < x < 34.7
__
Additional comment
If the third side is exactly equal to the sum or the difference, then the "triangle" looks like a line segment. It has zero area. That possibility is usually disallowed. If you want to allow it, then change < to ≤ in the inequality.
Need help, on this please!
he ratio of yes votes to no votes was to . if there were no votes, what was the total number of votes?
The given ratio of yes votes to no votes is 3:4
Then,
The ratio of yes votes: to no votes = 3:4
Yes votes = 2721,
Now,
2721/3 = 907
907 × 4 = 3628.
Hence, there were 3628 no votes.
To calculate the ratio, use this formula:
Ratios equate two numbers, usually by dividing them. If you are comparing one data point (x) to any other data point (y), your formula would be x/y. This means you are dividing information x by information y.
For example, if A is 50 and B is 100, your ratio will be 50/100 the ratio will be 1:2.
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m Solve for measurement(s) of angle c
The measure of angle C of the given triangle is 42.8°.
Solve for measurement(s) of angle c?To find the angle C, the law of sines formula is used, it is the ratio of the length of the side of the triangle to the sine of the angle thus formed between the other two remaining sides, given by,
sin A / a = sin B / b = sin C / c
where, a, b, and c are the lengths of the triangle and A, B, and C are the angles of the triangle.
Given ∠A = 61°, c = 35, a = 45
∴( sin A)/a = (sin C)/c
(sin 61° )/ 45 = (sin C) / 35
sin c = ((sin 61°) / 45) × 35
sin c = 0.68
c ≈ 42.8°
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Complete question:
You have given a triangle ΔABC, where ∠A = 61°, c = 35, a = 45. Solve for measurement(s) of angle c.
One angle measures 18°, and another angle measures (6d − 6)°. If the angles are complementary, what is the value of d?
Answer:
By definition, if two angles are complementary, they both will add up to 90 degrees. Knowing this add 18 and (6d-6) together to equal 90.
18+(6d-6)=90
Subtract 18 from both sides, then add 6. This leaves you with 6d equal to 78. Divide by 6 to get 13.
(6d-6)=72
6d=78
d=13 degrees
Make sure of your answer. You know that d is 13, so plug it back into the equation to see if it equals 90 degrees.
18+6(13)-6=90
18+78-6=90
90=90
What is the domain of this function?
f(x) = 3/4|x - 3| + 1
A. [1, ∞)
B. (-∞,∞)
C. (-∞, 3/4]
D. (-∞, 3)
Answer:
B. (-∞,∞)
Step-by-step explanation:
Function is
[tex]f(x) = \frac{3}{4}\cdot \left|x-3\right|\:+\:1[/tex]
There are no bounds on this function.
x values can range from -∞ to +∞ (but will never reach infinity)
Therefore domain is:
- ∞ < x < ∞
which in interval notation is Option B
How many different pizzas can be ordered with on cheese and one topping
Answer: depending on how much it cost
Step-by-step explanation:
Answer:
Depends on the pizza prices
if there is a 50% probability that bond a will default next year and 30% probability that bond b will default what is the range of probability that at least one will default
So the range of probability that at least one bond will default next year is between 0% and 80%.
The probability that at least one of two events will occur is the sum of the probability of each event minus the probability that both events will occur. In this case, the probability that at least one bond will default is:
P(A or B) = P(A) + P(B) - P(A and B)
Where P(A) is the probability of bond A defaulting (50%), P(B) is the probability of bond B defaulting (30%), and P(A and B) is the probability that both bonds will default (which we don't know).
So the range of probability that at least one bond will default is:
P(A or B) = 50% + 30% - P(A and B)
The maximum possible probability of both bonds defaulting is (0.5 * 0.3) = 15% and the minimum possible probability of both bonds defaulting is 0%. Therefore, the range of probability that at least one bond will default is:
P(A or B) = 80% - 0% = 80%
So the range of probability that at least one bond will default next year is between 0% and 80%.
It's important to note that the above formula and the range of probability is based on the assumption of independence, i.e the events of Bond A defaulting and Bond B defaulting are independent and don't affect each other.
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las edades de los hermanos de una familia son 3, 4, 6, 9, 15, 17. La varianza de las edades de esta poblacion es
The variance of the ages of this population is equal to 28.33.
How to calculate the mean age?Mathematically, the mean for the ages of these siblings (mean age) would be calculated by using this formula:
Mean = [F(x)]/n
Total age, F(x) = 3 + 4 + 6 + 9 + 15 + 17
Total age, F(x) = 54.
Therefore, the mean age is given by:
Mean age = [F(x)]/n
Mean age = 54/6
Mean age = 9
Next, we would calculate the standard deviation by using this formula:
Standard deviation, SD = √(1/n × ∑(xi - u₁)²)
Standard deviation, SD = √(1/6 × [(3 - 9)² + (4 - 9)² + (6 - 9)² + (9 - 9)² + (15 - 9)² + (17 - 9)])
Standard deviation, SD = √(1/6 × [36 + 25 + 9 + 0 + 36 + 64])
Standard deviation, SD = √170/6.
Standard deviation, SD = 5.32
In Statistics, the standard deviation of a data set is the square root of the variance and this is given by this mathematical expression:
Variance = δ²
Variance = 5.32²
Variance = 28.33.
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Complete Question:
The ages of the siblings in a family are 3, 4, 6, 9, 15, 17. The variance of the ages of this population is?
Pls mark all Ill mark brainlest
Question 7(Multiple Choice Worth 5 points)
(03.07 LC)
Estimate the product of 653.2 x 4.6. What numbers does it lie between?
Between 2,612 and 3,265
Between 3,000 and 2,612
Between 5 and 654
Between 4 and 653
Question 8(Multiple Choice Worth 5 points)
(03.02 LC)
Solve 147 x 3 = ___.
548
441
428
321
Question 9(Multiple Choice Worth 5 points)
(03.05 MC)
6.84 x 57 = ___.
342.68
389.88
34,268
38,988
Question 10(Multiple Choice Worth 5 points)
(03.02 LC)
A garden at the Hemingway House contains 236 plants. If each garden had the same number of plants, how many plants would be in 7 gardens?
1,652
1,422
1,412
1,282
Question 11(Multiple Choice Worth 5 points)
(03.01 LC)
Solve 16 x 103 = ___.
16,000
1,600
160
16
Question 12(Multiple Choice Worth 5 points)
(03.05 MC)
At the food stand near Fisherman's Wharf, a drink costs $2.98. What is the cost of 75 drinks?
$223.50
$412.60
$2,235.00
$4,126.00
Question 13(Multiple Choice Worth 5 points)
(03.06 LC)
Choose the answer that best describes the estimate for 1.2 x 1.2 = ___.
The answer will be 24 because 12 x 12 = 144.
The answer will be greater than 1 because the decimals are greater than 1.
The answer will be equal to 1 because the decimals are the same number.
The answer will be less than 1 because the decimals are less than 1.
Question 14(Multiple Choice Worth 5 points)
(03.04 LC)
Estimate the product of 2,456 x 38 by rounding to the nearest thousand and ten.
120,000
93,328
80,000
60,000
1. The product of 653.2 x 4.6 lie between A. Between 2,612 and 3,265.
2. The value of 147 x 3 will be B. 441
3. The product of 6.84 x 57 will be 389.88.
4. The number of plants in 7 gardens is A. 1652.
5. The value of 16 × 103 to nearest number is B. 1600.
6. The amount for 75 drinks is A. 223.50
7. The option that best describes the estimate for 1.2 x 1.2 is B. The answer will be greater than 1 because the decimals are greater than 1.
8. The product of 2,456 x 38 is B. 93328.
How to calculate the product?The product of 653.2 x 4.6 will be:
= 653.2 × 4.6
= 3004.72
The value of 147 x 3 will be:
= 147 × 3
= 441
The product of 6.84 x 57 will be:
= 6.84 × 57
= 389.88.
The number of plants in 7 gardens is:
= 236 × 7
= 1652.
5. The value of 16 × 103
= 16 × 103
= 1600 approximately.
The amount for 75 drinks is:
= $2.98 × 75
= $223.50
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what is the volume of this triangle ( im confused and need help)
Answer:
672
Step-by-step explanation:
1. Multiply the length, width, and height of the triangle.
14 x 12 x 8 = 1,344
2. Divide by 2.
1,344/2 = 672
Answer:
672 Feet^3
Step-by-step explanation:
Volume of a triangle = 1/2 (B)(H)(L)
B = base
H = height
L = length
I see you've found the numbers for B, H, and L so great start.
B = 12
H = 8
L = 14
So now its just plug and play
(12)(8) = 96
(96)(14) = 1344
And lastly (1/2)(1344) = 672 cubic feet
Jill has launched a model rocket from the Earth with an upward speed of 80 feet per second. The path of the rocket can be modeled by the equation h(t) = -16t2 + 80t. What is the range?
The range is 5 feet
The path of the rocket can be modeled by the equation
h(t) = -16t² + 80t
We know that the range of a projectile is nothing but the horizontal distance the projectile travels from the time it is launched to the time it comes back down to the same height at which it is launched.
To find the horizontal distance we find the distance between the points on the horizontal axis.
i.e., to find the value of t for which h(t) = 0
Let us assume that the value of equation h(t) = 0
h(t) = 0
-16t² + 80t = 0
t(-16t + 80) = 0
t = 0 OR -16t + 80 = 0
t = 0 OR -16t = -80
t = 0 OR t = 5
So, the range would be,
R = 5 - 0
R = 5 feet
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uncle henry has ten one-dollar bills to distribute among his five youngest nieces and nephews. how many ways are there to distribute his money?
1001 ways are there to distribute the money of Uncle Henry to his nieces and nephews.
He may donate the entire sum to one child (five ways).
He could give each youngster two bucks (one way).
He may offer $0.00, $1.00, $2.00, $3.00, and $4.00 in five different ways.
Henry will put the dividers on the left and the banknotes on the right. Money to the left of the first divider goes to the youngest kid, money between the first and second dividers goes to the child after that, and so on.
For example, the first kid receives $1, the second receives $2, the third receives $1, the fourth receive nothing, and the fifth receives $6.
It is merely a matter of selecting the number of arrangements of 10 bills and four dividers using this model:
[tex]\frac{14 !}{(10 !)(4 !)}=1,001, \text { or: } 14 C 4=1,001[/tex]
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There are 1001 ways to distribute Uncle Henry's money to his nieces and nephews.
He might give one youngster the full amount (five ways).
He could give each child two dollars (one way).
He can make five separate offers of $0.00, $1.00, $2.00, $3.00, and $4.00.
Henry will arrange the banknotes on the right and the dividers on the left. The youngest child receives the money to the left of the first divider, the following child receives the money between the first and second dividers, and so forth.
The first child gets $1, the second gets $2, the third gets $1, the fourth gets nothing, and the fifth gets $6, for instance. Using this model, it is only a matter of choosing the quantity of arrangements of 10 bills and 4 dividers.
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Help plsssssssssssssssssssss
Answer:
1) False
2)True
3)True
4)False
I need help asap with this question
The angles of the triangle are ∠Q=59°, ∠R=90°,∠S=31°.
What is a triangle?
In Geometry, triangles are the type of polygons, which have three sides and three vertices. This is a two-dimensional figure with three straight sides. A triangle is considered a 3-sided polygon. The sum of all three angles of a triangle is equal to 180°. The triangle is contained in a single plane. Based on its sides and angle measurement, the triangle has six types.
Based on the sides of a triangle, a triangle is classified into 3 types, namely:
Scalene Triangle – All the sides are of different measures.
Isosceles Triangle – Two sides of a triangle are of the same measure and the remaining side has a different measure.
Equilateral Triangle – All the 3 sides of a triangle are of the same measure.
Based on the angles of a triangle, a triangle is classified into 3 types, namely:
Acute Angle Triangle – All the angles of a triangle are less than 90°.
Obtuse Angle Triangle – One of the angles of a triangle is greater than 90°.
Right Angle Triangle – One of the angles of a triangle is equal to 90°.
Now,
As sum of all angles of triangles=180°
90+2x+33+5x-34=180
7x=90+1
x=13
Therefore,
∠Q=59°, ∠R=90°,∠S=31°
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PLEASE HELP
On a recent bird-watching expedition, Eriq and Salle saw several different kinds of waterfowl. They saw grebes (G), ducks (D), cormorants (C), geese (E), and spoonbills (S). They saw some of the birds at the beach (B), some at the lake (L), and some in a field (F). Write an expression to represent each of the following pieces of information.
a. The total number of birds that they saw
b. The percentage of birds that they saw at the lake
c. The fraction of birds that were geese or duck
Answer:
A. Total number of Birds: G + D + C + E + S or B + L + F
B. [tex]\frac{L}{B+L+F}[/tex]
C. [tex]\frac{G+D}{B+L+F}[/tex]
Step-by-step explanation:
first divide you duck by one two three and then subtracted by 578
The owner of a bike shop sells tricycles (3 wheels) and bicycles (2 wheels), keeping inventory by counting seats and wheels. One day she counts 35 seats and 80 wheels. How many of each type cycle are there?
The required number of each type of cycles are 25 bicycle and 10 tricycle.
Explain tricycles (3 wheels) and bicycles (2 wheels).Tricycles will offer better stability and assistance. They can also be applied in a wider variety of circumstances, such as therapy sessions for people with disabilities. The most common vehicle will be a bicycle because they are smaller, lighter, faster, more suited for off-roading, and more widely available.
According to question:The seats are counted by 1 for both tricycles and bicycles, so t + b has to equal 35. The only answer choice that has t + b = 35
t = 35 - b
And
3t + 2b = 80
3(35 - b) + 2b = 80
105 - 3b + 2b = 80
105 - b = 80
b = 25
Put value of b in t = 35 - b,we get
t = 35 - 25
= 10
Thus, There are 25 bicycle and 10 tricycle.
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In the figure below m<2=27, and m
The measure of angle 8 in the figure is given as follows:
m < 8 = 27º.
What are alternate interior angles?Alternate interior angles happen when there are two parallel lines cut by a transversal lines.
The two alternate exterior angles are positioned on the inside of the two parallel lines, and on opposite sides of the transversal line.
The alternate interior angles for this problem are given as follows:
2 and 8.
They are congruent, hence the measure of angle 8 is given as follows:
m < 8 = 27º.
Missing InformationThe diagram is given by the image presented at the end of the answer.
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What number goes in the blank to make the number sentence true? 3 x (1 + 6) = (3 x 1) + ( x6)
The required value of x to satisfied the given condition is 1/5.
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
According to question:We have,
3x (1 + 6) = (3 x 1) + ( 6x)
3x(7) = 3 + 6x
21x = 3 + 6x
15x = 3
x = 1/5
Thus, required value of x is 1/5.
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In order to satisfy the requirement, x must be 1/5 of the desired value.
What is an equation?An equation is a mathematical statement that proves the equality of two mathematical expressions, according to the definition of an equation in algebra. For instance, the two equations 3x + 5 and 14 are combined to form the equation 3x + 5 = 14, which is denoted by the equal sign.According to what we have3x (1 + 6) = (3 x 1) + ( 6x) ( 6x)3x(7) = 3 + 6x21x = 3 + 6x15x = 3x = 1/5A value of 1/5 for x is therefore necessary.To lean more about Equation refer:
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-4y+x=4
-6y+x=6
how would I solve this
please help me understand the problem
[tex] - 4 = 4 \\ - 6 = 6[/tex]
I don't understand how to solve with the system if equations
Answer: (0, -1)
Step-by-step explanation:
Hello! One method you can use to solve a system of equations is the elimination method. Here are the steps to use the elimination method in this equation:
-4y + x = 4 -4y - (-6y) = -4y + 6y = 2y, x -x = 0, 4 - 6 = -2
- (-6y + x = 6)
_________
2y = -2
__ __
2 2
y = -1
You now know that y = -1 for both lines to intersect. Let's now find x using the substitution method.
Use the equation -4y + x = 4. Substitute -1 for y in the equation.
-4(-1) + x = 4
4 + x = 4
-4 = -4
x = 0.
You now know that x = 0 and y = -1. Coordinate pairs are represented as (x, y). Substitute 0 in for x and -1 in for y. Your answer is (0, -1).
The teachers have $25 to buy supplies. Write and evaluate a numerical expression to show how much more money they will need to buy the cups and napkins.
Cups : $3.50 - 12 per package
Napkins : $4.25 - 10 per package
Please explain ty!!
The amount of money that will be needed more to buy the amount of cups and napkins by the teacher would be = $57.5
How to calculate the extra amount of money needed?The amount of cups needed = 12 packages
The price per package of cup = $3.50
The total money needed for cup = 12× $3.50 = $42
The amount of napkins needed = 10 package
The price per package of napkins = $4.25
The total money needed for napkins = 10×4.25 = $42.5
The total amount needed = 42+42.5 = $82.5
The difference between the amount available and the total amount = the extra money needed ;
= 82.5-25 = $57.5
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Solve for P please
17.5 - 6.3p =
The value of p from the equation 17.5 - 6.3p = 25 is 1.19
What are algebraic expression?Algebraic expression can be defined as a mathematical expression that are variables, terms, factors, constants and coefficients.
These expressions are also composed of mathematical or arithmetic operations, which includes;
DivisionAdditionSubtractionFloor divisionMultiplicationBracketParenthesesFrom the information given, we have that;
17.5 - 6.3p = 25
Now, let's take the following steps
collect like terms
-6.3p = 25 - 17.5
subtract the like terms
-6.3p = 7.5
Divide both by the coefficient of p, we get;
p = 7.5/-6.3
p = 1.19
Hence, the value is 1.19
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Complete question:
Solve for P please
17.5 - 6.3p = 25
How do you proof Triangle BSR is congruent to Triangle DUT
From the SSS Property of the triangle, Both triangles BSR and DUT are congruent.
What is the congruent triangle?Triangles are said to be congruent if, under a correspondence, two of a triangle's sides and the angle that connects them are equal to two of another triangle's sides and the angle that connects them.
Given, In the diagram, ABCD is a square, and R, S, T, and U are the midpoints of the sides of ABCD. Also, RT is perpendicular to SU and SV are equals to VU.
Since, R, S, T, and U are midpoints, and since RT is perpendicular to SU
in triangle DUT.
UD = TD
UD is also equal to VT since RT is perpendicular to SU
UD = TD = VT...(1)
And, From the Pythagorean theorem
UT = √(TD² + UD²)
In TRiangle BSR
BR = BS
BS is also equal to RV since RT is perpendicular to SU
BR = BS = RV...(2)
And, From the Pythagorean theorem
SR = √(BR² + BS²)
Since SV is equal to VU.
Thus, RV = VT
From equation 1 and 2
BR = BS = RV = UD = TD = VT
Therefore, From the SSS Property of the triangle, Both triangles BSR and DUT are congruent.
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