Answer:
x = 11/2 = 5^1/2 =5.5
Step-by-step explanation:
1/2(4x-12)=5
Multiply both sides by 2, the reciprocal of 2/1 =0.5
4x−12=5×2
Multiply 5 and 2 to get 10.
4x−12=10
Add 12 to both sides.
4x=10+12
Add 10 and 12 to get 22.
4x=22
Divide both sides by 4.
x = 22/4
Reduce the fraction 4/22 =5.5 to lowest terms by extracting and canceling out 2.
x = 11/2
Answer:
5.5
Step-by-step explanation:
1/2(4x-12)=5 Distributive Property
2x-6=5 Open the Parentheses
2x=11 Add 6 to Both Sides
x=5.5 Divide Both Sides by 2
lmk if you have any other questions
(SAT Prep) Find the value of x in each of the following exercises: WILL MARK BRANLIEST!!!
Answer:
Since the lines are parallel, the alternate interior angle to 35° is also 35°. Using the exterior angle theorem (exterior angle = sum of its remote interior angles) we can write:
x + 35 = 105
x = 70°
Calculate the final cost: Original price $125 Discount 25%
Tax 6.5%
Please help me
Answer:
99.84
Step-by-step explanation:
Take the original price and subtract the discount
125 - .25 * 125
125 -31.25
93.75
Now add in the tax
93.75+.065*93.75
93.75+6.09375
99.84375
Rounding to the nearest cent
99.84
Solve: 16x2 − 80 = 0 Round the answer to the nearest hundredth. x = −0.45 and x = 0.45 x = −2.24 and x = 2.24 x = −8.94 and x = 8.94 x = −9.80 and x = 9.80
Answer:
x = −2.24 and x = 2.24
Step-by-step explanation:
16x^2 − 80 = 0
Add 80 to each side
16x^2 =80
Divide each side by 16
x^2 = 80/16
x^2 =5
Take the square root of each side
x = ± sqrt(5)
x = ±2.236067977
Answer:
x = 2.24 OR x = -2.24
Step-by-step explanation:
=> [tex]16x^2-80 = 0[/tex]
Adding 80 to both sides
=> [tex]16x^2 = 80[/tex]
Dividing both sides by 16
=> [tex]x^2 = 80/16\\x^2 = 5[/tex]
Taking sqrt on both sides
=> x = ±√5
=> x = ±2.24
So,
Either,
x = 2.24 OR x = -2.24
PLEASE HELP!! I will award Brainliest and give 55 POINTS!!! THANK YOU
Answer:
79
Step-by-step explanation:
If we square m + 1/m we get (m + 1/m)² = m² + 2 * (m * 1/m) + 1/m² = m² + 2 + 1/m². Since m + 1/m = 9, (m + 1/m)² = 81 so that means that m² + 1/m² = 81 - 2 = 79.
Answer:
79 is correct
Compute the missing data in the table for the following exponential function . Leave your answer in decimal form.
x
1
2
3
4
5
6
7
y
0.5
0.25
0.125
0.0625
?
0.01563
0.00781
a.
0.03753
c.
0.03125
b.
0.0379
d.
0.03951
Answer: Option C: 0.03125
Step-by-step explanation:
we have an exponential equation, so we have:
f(x) = A*r^x
we have that:
f(1) = A*r^1 = A*r = 0.5
f(2) = A*r^2 = 0.25
f(3) = A*r^3 = 0.125
f(4) = A*r^4 = 0.0625
f(5) = A*r^5 = ?
we want to find the value f(5)
first, let's take the quotient:
f(2)/f(1) = (A*r^2)/(A*r) = r = 0.25/0.5 = 0.5.
then we have:
f(x) = A*0.5^x
and f(1) = A*0.5 = 0.5
then A = 0.5/0.5 = 1.
now we know that our function is f(x) = 0.5^x.
then, if we want to find f(5) we have:
f(5) = 0.5^5 = 0.03125
Then the correct option is option c.
If there are 50 cups of rice for a group of five people who have a combined weight of 880 pounds, determine how many cups each person should get per 100 pounds. Round to the nearest tenth of a cup.
Answer:
28.4 cups
Step-by-step explanation:
If 5 people have a combined weight of 880 pounds, each person sould have a weight of 880/5 = 176 pounds.
Now, we can set up a proportion:
[tex]\frac{176}{50} =\frac{100}{x}[/tex]
Cross Multiply:
176x = 5000
x = 5000/176 = 28.4 cups
The required number of cups that each person has 5.6 cups per 100 pounds.
There are 50 cups of rice and group of 5 combined weight of 880 pounds. To determine how many cups each person should get per 100 pounds.
Fraction is defined as the number of composition constitute the whole.
average wait of people = 880/5 = 176 pounds
Each person can have cup beside the 100 pound weight = 50/5 = 10(max)
Number of cups per 100 pounds = 50/880*100
= 5.6 cups per 100 pound
Thus, the required number of cups that each person has 5.6 cups per 100 pounds.
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2 Points
Which of the following is the correct factorization of the trinomial below?
- 7x2 - 5x + 18
A. (-7x- 9)(x+2)
B. -7(x-6)(x+1)
C. -1(7x - 9)(x + 2)
D. (-7x + 9)(x - 2)
SUBMIT
Answer:
C
Step-by-step explanation:
1. Factor a negative one out of the problem.
-1( 7x^2 +5x -18)
2. Factor.
{Factors of 7= 7 &1}
3. (7x ___) (x _____)
Factors of 18= 6,3,18,1,2,9
5 needs to be postive.
I have a hat that contains six nickels and five pennies. I draw coins from the hat at random, without replacement. Find the probability that after drawing four coins, I have removed at most two pennies from the hat.
Answer:
53/66
Explanation:
We can use complementary counting to find the probability of picking the outcomes we don't want, and then subtracting that from the whole. The outcomes we don't want are PPPP and PPPN.
Probability of picking PPPP: 5/11 * 4/10 * 3/9 * 2/8 = 120/7920 = 1/66
Probability of picking PPPN: 5/11 * 4/10 * 3/9 * 6/8 = 360/7290 = 3/66
We can arrange PPPN in four different ways (PPPN, PPNP, PNPP, NPPP) so we need to multiply by 4, giving 12/66.
The total of these two probabilities is 13/66. Subtracting from 66/66, the answer is 53/66.
53/66 is the probability that after drawing four coins.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that a hat contains six nickels and five pennies
Drawn coins from the hat at random, without replacement.
We need to find the probability that after drawing four coins in which removed at most two pennies from the hat.
We use complementary counting to find the probability of picking the outcomes.
Probability of picking PPPP:
5/11 × 4/10 × 3/9 × 2/8
= 120/7920
= 1/66
Probability of picking PPPN:
5/11 × 4/10 × 3/9 × 6/8
= 360/7290
= 3/66
Four different ways of arranging PPPN is (PPPN, PPNP, PNPP, NPPP)
3/66×4= 12/66.
The total of these two probabilities is 13/66.
1-13/66
53/66
Hence, 53/66 is the probability that after drawing four coins.
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a line in a cartesian plane passes through the points 5,8 and 9,15. what's the slope of the line
Answer:
B. 7/4
Step-by-step explanation:
Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Plug in the coordinates:
m = (15 - 8)/(9 - 5)
m = 7/4
What’s the answer? It’s a ratio and proportion assignment.
Answer:
G
Step-by-step explanation:
168/14=12*13.72=164.64
._.
*PLEASE ANSWER* Which known figures make up this unknown figure?
Answer:
C
Step-by-step explanation:
it's a half circle , rectangle and triangle that can exactly be carved out of the figure
Answer:
C
Step-by-step explanation:
half-circle ; rectangle ; triangle
Marie is saving money for home repairs. To date, she has saved $1,438. She needs at least $1,828 for the repairs. She plans to set aside $39 per week to add to her current savings. If this situation is modeled by the inequality below, how many more weeks, x, does she need to continue saving in order to have enough money for the repairs? $1,438 + $39x > $1,828 A. x > 84 B. x > 23 C. x > 10 D. x > 29
Answer:
c
Step-by-step explanation:
1828-1438=390
390÷39=10
Bert’s cab company charges $1.00 plus an additional $3.00 per mile for a ride. Madeline’s cab company charges $3.00 plus an additional $2.00 per mile for a ride. Write a system of linear equations that shows the cost in dollars, y, for a cab ride of x miles for each cab driver. Bert’s _____________________________________ Madeline’s ________________________________
Answer:
3*m+1 and 3+2*m
Step-by-step explanation:
$600.99
Step-by-step explanation:
Because the cab company is located in New York. In New York, cab drivers basically rob you.
Select all the expressions that are equivalent to 16x + 36.
a 16(x + 20)
b. x(16+36)
C. 4(4x + 9)
d. 2(8x + 18)
e. 2(8x + 36)
Answer:
2(8x + 18) and 4(4x + 9)
Step-by-step explanation:
16 and 36 are both evenly divisible by 2 and 4. Thus, possible equivalents of 16x + 36 are 2(8x + 18) and 4(4x + 9).
Expressions equivalent to 16x + 36 are 4(4x+9) and 2(8x + 18).
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.
Given expression
16x + 36
= 4.4x + 4.9
16x + 36 = 4(4x+9)
= 2.2(4x + 9)
16x + 36 = 2(8x + 18)
Hence, 4(4x+9) and 2(8x + 18) are equivalent to 16x + 36.
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evaluate this exponential expression
Answer:
171
Option D is the correct option.
Solution,
[tex]4. {(2 + 5)}^{2} - {5}^{2} \\ =4. {(7)}^{2} - 5 \times 5 \\ =4 \times 7 \times 7 - 5 \times 5 \\ = 196 - 25 \\ = 171[/tex]
Hope this helps..
Good luck on your assignment...
Answer:
[tex]171[/tex]
Answer D is correct.
Step-by-step explanation:
[tex]4 \times {(2 + 5)}^{2} - {5}^{2} \\ 4 \times {7}^{2} - 25 \\ 4 \times 49 - 25 \\ 196 - 25 \\ = 171[/tex]
Which of the following are techniques used in geometric constructions with paper folding?
Check all that apply.
A.Creating arcs and circles with the compass
B.Marking points
C.Measuring line segments by folding the paper and matching the endpoints
D.Folding the paper and aligning marks seen through the paper
The techniques used in geometric constructions with paper folding are marking points and folding the paper and aligning marks seen through the paper.
What is geometric constructions?The geometric construction is the method by which the figures of geometry are drawn using the different geometric instruments.
The techniques used in geometric constructions with paper folding are listed below.
Marking the points on the paper.Folding the paper and orienting marks which are visible through the paper.Drawing the line segments.Thus, the techniques used in geometric constructions with paper folding are marking points and folding the paper and aligning marks seen through the paper.
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Answer:
Drawing line segments
Marking Points
Folding the paper and aligning marks seen through the paper
What is the equation of the line that is parallel to the given
line and passes through the point (-4,-6 )?
-10
8.
6
(8,4)
x = -6
x= -4
2
2 4 6
8 10 x
y=-6
y=-4
-10 -8 6 4 -22
4
(46)
-6
8
10
Answer:
y=-6
Step-by-step explanation:
The line shown is a horizontal line via the y-axis and has the equation y=4. A parallel line to it is a line that doesn't pass it. It may even have the form y=a wherein a is the y-coordinate of its points. The point (-4,-6) is on the line so y=-6 is the line.
please mark me brainliest!
y=-6 is the equation of the line that is parallel to the given line and passes through the point (-4,-6 )
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The slope of the line passing through points ( -8, 4) and (8, 4)
m=4-4/8+8
=0
Slope is zero.
The slope of the parallel line will be also zero.
Now equation of line passing through (-4, -6) which is parallel.
Let us find y intercept
-6=-4(0)+b
-6=b
So the equation will be y=-6.
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Choose the correct answer. Mapping relation chart with two ovals. Left oval contains negative 2, 0, 1, 3, 4. Right oval contains 1, 3, 4, 6. Negative 2 points to 3. 0 points to 3. 1 points to 1. 3 points to 4. 4 points to 6. Which relation is represented by the arrow diagram? {(–2, 3), (0, 3), (1, 1), (3, 4), (4, 6)} {(3, –2), (3, 0), (1, 1), (4, 3), (6, 4)} {(–2, 1), (0, 3), (1, 3), (3, 4), (4, 6)} {(3, –2), (3, 0), (1, 1), (3, 4), (4, 6)} bad answers will be reported
Answer:
{(–2, 3), (0, 3), (1, 1), (3, 4), (4, 6)}
Step-by-step explanation:
The points are (-2, 3), (0, 3), (1, 1), (3, 4) and (4, 6) so the answer is {(–2, 3), (0, 3), (1, 1), (3, 4), (4, 6)}
Answer:
{(–2, 3), (0, 3), (1, 1), (3, 4), (4, 6)}
Step-by-step explanation:
I suck at explain and dont want to say the wrong thing and misword but hope I helped :)
There below! Can somebody help me please?
Answer: C. 24 units
Step-by-step explanation:
The circumference of a circle is 2πr. Let's say x = 1/3r. Thus, the area of circle A relative to circle B is 1:3. Thus, circle B is 3 times larger than circle A. So, simply divide 64π by 4 to get 16π. Then multiply 16π*3=48π. For the circumference of a circle to be 48, the radius would have to be 24.
Hope it helps <3
Answer:
The answer is C, 24 units.
Step-by-step explanation:
Let [tex]r_A[/tex] be the radius is circle A and [tex]r_B[/tex] be the radius of circle B.
Radius of circle A is 1/3 of the radius of circle B, or:
[tex]r_A=\frac{1}{3}r_B[/tex]
[tex]3r_A=r_B[/tex]
The sum of their circumferences is [tex]64\pi[/tex]. In other words:
[tex]2\pi r_A +2\pi r_B = 64\pi[/tex]
Substitute [tex]r_B[/tex]:
[tex]2\pi(r_A +r_B)=64\pi[/tex]
[tex]2\pi (r_A +3r_A)=64\pi[/tex]
[tex]4r_A=32, r_A=8[/tex]
[tex]r_B=3r_A, r_B=3(8)=24[/tex]
What is the recursive formula for this sequence? 14,18,22,26,30...
Answer:
an = an-1 +4
a1 = 14
Step-by-step explanation:
The recursive formula is
an = an-1 +d where d is the common difference
a1 = initial term
a1 = 14
d = the difference between the terms
Take the second term and subtract the first term
18-4 = 4
That is the common difference
an = an-1 +4
a1 = 14
If we will analyze this sequence, we will notice that:
The sequence started by 14. So, the first term ([tex]a_1[/tex]) is 14. From 14 to 18 we add 4. From 18 to 22 we add 4. This standard repeats itself infinitely. The next term is equals the last term plus 4.So,
[tex]\boxed{\left \{ {{a_1=14} \atop {a_n=a_{n-1}+4}} \right.}[/tex]
Therefore, the correct option is letter C.
One serving of a certain brand of yogurt contains 9 g of fat. The low-fat version contains 36.75% less fat per serving. How many grams of fat does one serving the low-fat yogurt contain?
Answer:
Answer Choices??
Step-by-step explanation:
Find the value of $B - A$ if the graph of $Ax + By = 3$ passes through the point $(-7,2),$ and is parallel to the graph of $x + 3y = -5.$
Answer:
A=-3
B=-1
ans:-1-(-3)=2
Step-11by-step explanation:
Ax+By=3,m1= -A/B
x+3y= -5,m2= -1/3
A/B=1/3(parallel)
3A=B
(-7,2)
-7A+2B=3
-7A+6A=3
A= -3
B=-3/3= -1
-1-(-3)=2
Helpppp me plz answer this for me plz
Answer:
0.1
Step-by-step explanation:
There are 10 letters and only 1 of them is a G so the chance of drawing a G is 1/10 = 0.1.
Answer:
0.1 is the right answer
What is the value of x?
Answer:
x = 65
Step-by-step explanation:
interior angles = 180°
45° + (2x - 5)° = 180°
(2x - 5)° = 180° - 45°
(2x - 5)° = 135°
2x° = 135° - 5°
2x° = 130°
x° = 130° ÷ 2
x° = 65°
x = 65
Write 90 cents to $1.30 a fully simplified ratio by first converting to the same units, and then simplifying.(plz answer I will put brainliest)
Answer:
9:13.
Step-by-step explanation:
$1.30 = 130 cents
So the ratio is 90:130
= 9:13.
Which of the following describes the location of the opposite of the number that R represents on this line? Answer Options At a distance of 4 tick marks above 0 At a distance of 4 tick marks below 0 At a distance of 8 tick marks below 0 At a distance of 8 tick marks above 0
Answer:
At a distance of 4 tick marks above
Step-by-step explanation:
Triangle Q S R. Angle Q is 98 degrees and angle R is 37.6 degrees. Triangle T U V. Angle U is 98 degrees and angle V is 37.6 degrees. Answer these questions about finding the missing angle measures. What is the measure of ∠Q? What is the measure of ∠T? What can be concluded about these triangles?
44.4 degrees
44.4 degrees
The triangles are similar.
Step-by-step explanation:
The measurements of missing angles are 44.4 each and the triangles are similar.
What are similar triangles?Two triangles are said to be similar if they have congruent corresponding angles and their corresponding sides are in equal ratios.
Given that, there are two triangles, ΔQSR and ΔTUV, where ∠Q and ∠U = 98° and ∠V and ∠R = 37.6°, we need to find the measurement of third angle in both and the relation between the triangles,
Using the angles sum property of a triangles,
∠Q + ∠S + ∠R = 180°
∠T + ∠U + ∠V = 180°
Therefore,
∠S = 180°-(37.6°+98°)
∠S = 44.4
Similarly,
∠T = 44.4
Since, all the corresponding angles are congruent therefore, the triangles are similar.
Hence the measurements of missing angles are 44.4 each and the triangles are similar.
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this is an easy question, and i'm giving all my points, so if y'all want that, answer the following questions
Answer:
Step-by-step explanation:
a)180 degrees
b)parallel
c)90 degrees
d)supplementary and adiacent
e)right
f)supplementary
Answer:
a) 180°
b) parallel
c) 90°
d) adjacent
e) right angled
f) supplementary
What is the value of the expression below? 81^5/4
Answer:
81^5/4
Rewrite 81 in index form that is 3⁴
So we get
3⁴ × ^5/4
= 3^5
= 243
Hope this helps
Answer:
243 is correct
Step-by-step explanation:
select the correct statement about the function represented by the table. A. It is an exponential function because the y-values increase by an equal factor over equal intervals of x values. B. It is a linear function because the difference y - x for each row is constant. C. It is an exponential function because the factor between each x and y value is constant. D. It is a linear function because the y values increase by an equal difference over equal intervals of x-values.
Answer: D.
Step-by-step explanation:
The common difference between each y-value is 18.
80 - 62 = 18
62 - 44 = 18
44 - 26 = 18
The function stays the same for every interval of the x-values
(1, 26)
(2, 44)
(3, 62)
Since the increase in the y-value is the same with equal intervals of x-values, the function represents the linear function. Thus, option D is correct.
What is function?Function is the expression that defines the relationship between the independent and dependent variables.
Determine the difference between the consecutive y-values.
44-26=18
62-44=18
80-62=18
98-80=18
It can be observed that the difference in the consecutive y-values is same, which is, 18.
Since the increase in the y-value is same with equal interval of x-values, the function represents the linear function.
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