Answer:
w = r1r2t is the correct answer which would be the letter C. This is the one that is not algebraically correct.
Step-by-step explanation:
When solving this equation for t the step w= r₁r₂t would not be algebraically correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The following are the basic principles and steps to summarize any linear algebra statement:
Erase all packaging symbols, such as parenthesis and parenthesis, by dividing factors.
Using the exponent rule, grouping can be rule out if the words contain decimals.
To merge words, omit or add similar pictures.
It is given that,
The work accomplished by two people working on the same task for the same amount of time but at different rates is given by the equation,
w=r₁t+r₂t
Taking t common,
w=(r₁+r₂)t
Rearrange the equation as
t=w / (r₁+r₂)
Thus, when solving this equation for t the step w= r₁r₂t would not be algebraically correct.
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A cylindrical tank contains 180000cm of water.
The radius of the tank is 45 cm.
Calculate the height of water in the tank. there is no ball
Answer:
28.29 cm
Step-by-step explanation:
The formula for the cylinder is πr²h.
180000 = π(45)²h
180000 = 6361.725124h
h = 28.294212
The height is 28.29 cm.
Because you are working a late shift, you will get an increase in your wage. You will get and additional 10% per hour from 6:00pm to 12:00 am and additional 15% from 12:00 am to 1:00 am
CHECK THE COMPLETE QUESTION BELOW:
Supervisor: "Because you are working a late shift, you will get an increase in your wage. You will get an additional 10% per hour from 6:00 PM to 12:00 AM and additional 15% from 12:00 AM to 1:00 AM." Employee: "I am working from 2:00 PM to 12:00 AM. Between 2:00 PM and 6:00 PM, I will make $12.00 per hour. Between 6:00 PM and 12:00 AM, I will make __________ per hour
Answer:
I will make $13.2 per hour
Explanation:
It can be deducted from the question that that the money Employee gets money for Working from 2.00 PM to 6.00 PM = $12per hour
Also the Employee gets additional 10% of money for working from 6.00 PM to 12.00 AM which implies that
10% = (10/100)*$12per hour
=$1.2per hour
Again, Employee gets additional 15% of the money for working from 12.00 AM to 01.00 AM which can be calculated as:
15% = (15/100)*$12per hour
=$1.8 per hour
which means that Employee gets additional $1.8 per hour
of the money for working from 12.00 AM to 01.00 AM
Therefore, if Employee works from 2.00 PM to 12.00 AM,
Employee will gets money for Working from 2.00 PM to 6.00 PM as well as the 10\% extra wage which
= $12 + $1.2 = $13.2
= \$ 12 + \$ 1.2 = \$ 13.2
Find the area of the triangle. a. 620 sq. m c. 100 sq. m b. 200 sq. m d. 180 sq.m
Answer:
100 sq. m
Step-by-step explanation:
So, first, we need to know the formula for the area of a triangle.
A=BH/2
In this case, we know the base and the height (B and H respectively), and we just fill it out.
A=10*20/2
A=200/2
A=100.
Lastly, don't forget the units, so, A=100 sq. m
Answer:
c 100
Step-by-step explanation:
Help please .....................
Answer:
70
Step-by-step explanation:
well you know that angles in the same segment are equal so angle VWZ also= 38
triangle VWZ is a triangle so the sum of interior angles sums to 180
180-72-38=70
In the picture above, parallel lines p and q are cut by transversal line t. If the measure of angle 4 is 43 degrees, then the measure of angle 6 is 43 degrees and the measure of angle 5 is ______ degrees. The measure of angle 8 is 43 degrees and the measure of angle 1 is _____ degrees.
Answer:
angle 5 is 137 degrees
angle 1 is 137 degrees
Step-by-step explanation:
angle 5 and 6 are supplementary angles meaning together they add up to 180 degrees. to find angle 5 you must find the difference:
[tex]180-43=137[/tex]
so angle 5 is 137 degrees.
likewise, angle 1 and angle 4 are supplementary angles. find the difference:
[tex]180-43=137[/tex]
so angle 1 is also 137 degrees.
Can some one help with the following please…???
Answer:
5. 8
6. 18
Step-by-step explanation:
5.
a(a^2 + a - 1) + 7 =
= a^3 + a^2 - a + 7
For a = -1,
= (-1)^3 + (-1)^2 - (-1) + 7
= -1 + 1 + 1 + 7
= 8
6.
2ab(a + b) - 3ab(a - b) =
= 2a^2b + 2ab^2 - 3a^2b + 3ab^2
= -a^2b + 5ab^2
For a = 1 and b = 2,
= -(1)^2(2) + 5(1)(2)^2
= -1(2) + 5(4)
= - 2 + 20
= 18
Answer:
Step-by-step explanation:
a(a^2 + a -1) +7
a^3+a^2-a+7
f(-1)=(-1)^3+(-1)^2-(-1)+7
f(-1)=-1+1+1+7
f(-1)=0+1+7
f(-1)=8
2ab(a+b)-3ab(a-b)
2a^2*b+2ab^2-3a^2*b+3ab^2
−a^2*b+5ab^2
when a=1 and b=2
−a^2*b+5ab^2
−(1)^2*2+5*1*2^2
-1*2+5*1*4
-2+5*4
-2+20
18
2x-2y=22 find the value of y when x equals 2
Answer:
y = -9
Step-by-step explanation:
Step 1: Substitute x
2(2) - 2y = 22
Step 2: Isolate y
-2y = 18
Step 3: Divide by -2
y = -9
And you have your final answer!
Aliyah wants to estimate the value of the quotient of 5.68 times 10 Superscript negative 3 and 8.54 times 10 Superscript negative 9. Which statement about the value is true? The value will be greater than 1 because (negative 3) divided by (negative 9) is a positive number. A number in scientific notation with a positive exponent has a value greater than 1. The value will be greater than 1 because (negative 3) minus (negative 9) = 6. A number in scientific notation with a positive exponent is greater than 1. The value will be less than 1 because 5.68 divided by 8.54 is less than 1. The negative exponents will make it even smaller. The number will be less than 1 because 5.68 times 10 Superscript negative 3 is a very small number and division always makes the size of a number smaller.
Answer:
b
Step-by-step explanation:
Answer:
b or The value will be greater than 1 because (negative 3) minus (negative 9) = 6. A number in scientific notation with a positive exponent is greater than 1.
Step-by-step explanation:
Help with math pls Question: Which ratio tables are correct? (Also: Select *all* that apply) Which means there is more than one answer...
Answer:
b
Step-by-step explanation:
What is the area of the triangle given below? 2 and 6
Answer:
6 sq. units
Step-by-step explanation:
The area of a triangle is base times height divided by 2.
[tex]\frac{bh}{2}[/tex]
[tex]\frac{6 \times 2}{2}[/tex]
[tex]\frac{12}{2} =6[/tex]
Answer:
D. 6
Step-by-step explanation:
The formula for the area of a triangle is A=1/2bh. In this case, the base is 6 and the height is 2. The work is below:
A=1/2bh
A=1/2(6)(2)
A=1/2(12)
A=6
Hope this helps!!! PLZ MARK BRAINLIEST!!!
77 POINTS PLEASE ANSWER: A b and c share 90 pound the amount a and b get is in the ratio 1:2 the amount b and c get is in the ratio 4:3 how much does A get
Answer:
Brainliest!!!
Step-by-step explanation:
A:B
1:2
B:C
4:3
B is both 4 and 2
In B:C, B is double (in ratio) than when B is in A:B
2:4:2
A:B:C
this would mean there is a total of 8
A would get 1/4 of the 90 pounds
Triangle JKL is similar to triangle TUV. Find the missing side length of triangle TUV.
A. 10.6
B. 6
C. 6.2
D. 5.8
Answer:
B) 6 inches
Step-by-step explanation:
==>Given that ∆JKL ~ ∆TUV, it therefore means the ratio of proportion of the corresponding sides of ∆JKL and ∆TUV are equal.
Thus:
JK/TU = JL/TV = KL/UV
10/7.5 = 8/x = 13/9.75
Let's find x
10/7.5 = 8/x
=>Cross multiply
10*x = 8*7.5
10x = 60
Divide both sides by 10
x = 6 inches
Our answer is B) 6 inches
The cost of each white tile was £2 the cost of each blue tile was 4 pounds work out the ratio of the total cost of the white tiles to the total of the blue tiles
Answer:
2x/4y = x/2y = x : 2y
Step-by-step explanation:
The question only gave us the cost of each white tiles and blue tiles respectively . The cost of each white tiles is £2 while the cost of each blue tiles is £4. The total cost of the blue tiles and the white tiles can only be calculated if we know the number of blue and white tiles available.
Let us assume
the number of white tiles = x
the number of blue tiles = y
total cost of white tiles = 2 × x = 2x
total cost of blue tiles = 4 × y = 4y
Therefore, the ratio of the total cost of white tiles to the total cost of the blue tiles can be expressed as follows
2x/4y = x/2y = x : 2y
If the number of white and blue tiles is known it can be replaced in the ratio to find the ratio of the total cost of the white tiles to the total cost of the blue cost.
Last year the cost of a season ticket for a Rugby club was £370
This year the cost of a season ticket for the club has been increased to £450
Write down the increase in the cost of a season ticket as a fraction of last
year's cost.
Answer:
22% approximately
Step-by-step explanation:
The increase was from £370 to £450, or £80.
As a fraction of last year's cost, this is
£80
-------- = 22% approximately
£370
I'd greatly appreciate the help-
Answer:
The 3rd option
Step-by-step explanation:
To prove that 2 triangles are similar, we need to prove that 2 pairs of their angle measurements are congruent.
This is because all triangles have 180 degrees, so if 2 pairs are congruent, the remaining angles will also be congruent
We know that m<D=m<E
We also know that m<DCA=m<ECB because they are vertical angles.
Vertical angles are always congruent.
Therefore, the triangles are similar.
The correct similarity statement would be 1, since <D corresponds with <E.
Now let's look at the 3rd Statement. To prove that two lines are similar, we would have to prove that their alternate interior angles are congruent.
A pair of alternate interior angles would be <D and B or or <E and <A
There is no way to prove this, since we do not know any of the angle or that measurements or if the triangles are isosceles triangles.
Hence, the correct choice would be 1 only.
The simplest form of StartRoot 80 EndRoot can be written as a StartRoot b EndRoot, where a = and b =
Answer:
4√5
Step-by-step explanation:
√80 = √16 times √5
√16 = 4
4 times √5
4√5
Answer:
A=4 B=5
Step-by-step explanation:
A square has a side that measures 5.5 units. What is the area of a circle with a circumference that equals the perimeter of the square? Use 3.14 for π, and round your answer to the nearest hundredth. 38.47 units2 94.99 units2 153.86 units2 379.94 units2
Answer:
Answer choice A) About 38.47 square units
Step-by-step explanation:
Since all four sides of a square have the same length, the perimeter of a square is just 4 times one of the side lengths. The perimeter of the square and therefore the circumference of the circle is 5.5*4=22. The circumference of a circle is 2 times the radius multiplied by pi. The radius of this circle is therefore:
[tex]\dfrac{22}{2\pi}\approx 3.503[/tex]
Since the area of a circle is [tex]\pi r^2[/tex], the area of this circle is:
[tex]\pi \cdot 3.503^2= 3.14\cdot 12.271\approx 38.47[/tex]
Hope this helps!
The area of a circle with a circumference that equals the perimeter of the square is about 38.47 square units
Since all four sides of a square have the same length, the perimeter of a square is just 4 times one of the side lengths.
The perimeter of the square and therefore the circumference of the circle is [tex]5.5*4=22.[/tex]
The circumference of a circle is 2 times the radius multiplied by pi. The radius of this circle is, therefore
[tex]22/2\pi=3.503[/tex]
What is the area of the circle?The area of a circle is [tex]\pi r^2[/tex],
the area of this circle is:
=[tex]\pi \times 3.305^2[/tex]
[tex]=3.14(12.27)[/tex]
=38.47 unit^2
Thus, The area of a circle with a circumference that equals the perimeter of the square is about 38.47 square units.
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Simplify -{2x-[3-(4-3x)]+6x}.
Step-by-step explanation:
_2x _3x+3+64-4=
_5x+63
PLEASE HELP !
.
Naher has a mirror in a shape of a circle.
The circle has a diameter of 60 cm.
Naher buys metal strips to put around the edge of the mirror.
The metal strip is sold in lengths of one meter.
Each one meter length of metal strip costs £5.68
Work out the total amount Naher paid.
Answer: £323.76
Step-by-step explanation:
Circumference = 2πr
= 2 x π x 30^2
= 2 x π x 900
= 1800π = 5654.9 cm = 56.549 meters
Amount paid 57m x £5.68 = £323.76
in 1975 the population of the village was 900 it increased by 30% the following year what was the population of the year 1976
Answer:
1170
Step-by-step explanation:
Total Population = 900
Annual rate of increase = 30 % of 900
=> [tex]\frac{30}{100}*900[/tex]
=> 30 * 9
=> 270
Population next Year = 900+270
=> 1170
Can anyone answer this
Answer:
B. 1395 sq. units
Step-by-step explanation:
Since the shape is an octagon, it is also composed of 8 triangles. If you solve the formula for the area of a triangle with those numbers and multiply it by the amount of sides you will have the total area.
Answer:
B. 1395 sq. units
Step-by-step explanation:
A=2(1+[tex]\sqrt{2}[/tex])a²
A=2(1+[tex]\sqrt{2}[/tex])17²
A=2(1+[tex]\sqrt{2}[/tex])289
A≈4.83×289
A≈1395.87
A≈1395 units²
The option that fits this is B. 1395 sq. units
An inequality is shown. 12+11/6x≤ 5+3x Select the statement(s) and number line(s) that can represent the inequality. Click all that apply. a. The solution set is {6, [infinity]} for x ∈ R. b. The solution set is {6, 7, 8, …} for x ∈ N. c. 6 ≤ x d. The value of a number substituted for x is greater than 6. (more options below.)
Answer:
(a)The solution set is: [tex]x \in [6, \infty) \forall x \in R[/tex]
(c) [tex]6 \leq x[/tex]
Step-by-step explanation:
Given the inequality: [tex]12+\dfrac{11}{6}x\leq 5+3x[/tex]
We solve by collecting like terms
[tex]12+\dfrac{11}{6}x\leq 5+3x\\12-5\leq 3x-\dfrac{11}{6}x\\7\leq \dfrac{18x-11x}{6}\\42 \leq 7x\\$Divide both sides by 7\\6 \leq x\\$We can re-write this as:\\x\geq 6[/tex]
The solution set is therefore: [tex]x \in [6, \infty) \forall x \in R[/tex]
Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches. A square labeled 16 x squared minus 40 x + 25 What is the side length, in inches, of the pet shop sign?
Answer:
length of side of square = (4x - 5) inches
Step-by-step explanation:
We are given;
Area of square = 16x² – 40x + 25
Let's find the roots of this quadratic equation [-b ± √(b² - 4ac)]/2a
Thus;
x = [-(-40) ± √((-40)² - 4(16 × 25)]/(2×16)
x = [40 ± √(1600 - 1600)]/32
x = (40 ± 0)/32
x = 40/32
x = 5/4
Thus, the factors of the polynomial are;
(4x - 5)²
So,
Area = 16x² – 40x + 25 = (4x - 5)²
Since, the right hand side is (4x - 5)² and area of square is (length of side)², thus we can say that length of side of square is (4x - 5) inches
Work out ( 2 × 10 5 ) × ( 3 × 10 4 ) Give your answer in standard form.
Answer:
Interpreting as: standard form
Input interpretation:
standard form
Definition:
The standard form of a line in the Cartesian plane is given by
ax + by = c
for real numbers a, b, c element R.
Hi can anyone help me with question 1 and 3
Answer:
292 and 2092
Step-by-step explanation:
Surface area:
Wall 1: 40 x 3 = 120m^2
Wall2: 40 x 3 = 120m^2
Wall 3: 15 x 3 = 45m^2
Wall 4: 15 x 3 = 45m^2
Ceiling: 15 x 40 = 600m^2
Total : 240 + 600 + 90 = 730
So, cost of painting = 730/25 x 10 = 29.2 x 10 = 292
Total: 292 + 1800 = 2092
The total cost of paint would be 2092 dollars.
The area of the cuboid is the sum of product of the length, breadth of the given prism.
Surface area:
Wall 1: 40 x 3 = 120m^2
Wall2: 40 x 3 = 120m^2
Wall 3: 15 x 3 = 45m^2
Wall 4: 15 x 3 = 45m^2
Ceiling: 15 x 40 = 600m^2
The Total area: 240 + 600 + 90 = 730
So, The cost of painting = 730/25 x 10
= 29.2 x 10
= 292
Total: 292 + 1800 = 2092
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can someone help asap
Answer:
1/3
Step-by-step explanation:
7/12 - 3/12= 4/12= 1/3
A square has a side that measures 5.5 units. What is the area of a circle with a circumference that equals the perimeter of the square? Use 3.14 for π, and round your answer to the nearest hundredth. 38.47 units2 94.99 units2 153.86 units2 379.94 units2
Step-by-step explanation:
here first you have to find the perimeter of square
given that perimeter of circle is equal to perimeter of square,,,,, therefore with the perimeter of square you have to find the radius of the circle.....
now you have the radius of the circle so by applying the formula of area of circle the answer will be finded
Please follow
Answer:
38.47 units²
Step-by-step explanation:
I got it right on the test...
Find the inverse of the function y = 2x^2 +2
It would be
[tex] \sqrt{ \frac{x - 2}{ 2} } [/tex]
I hope this is what you're looking for!
What equation represents 3 less than the product of 7 and a number is 4 more than the number
A sandwich shop is ordering apples and grapes to make chicken salad. Apples cost $2.19 per pound and grapes cost $2.60 per pound. If they ordered a total of 20 pounds of apples and grapes and paid $35.80, how many pounds of grapes did they order?
We got $19.51 but we think it is wrong.
Answer:
Less than 13 pounds of grapes,
as 14 pounds of grape exceeds $35.80,
If you order as low as zero pounds of grapes, then the price of apple pounds would be $35.80/20 =$1.79 per pound
Step-by-step explanation:
Let
Quantity of Apple and grapes=20
Cost of apple=$2.19
Cost of grape=$2.60
Total cost of apple and grape=$35.80
a+g=20
a=20-g
PaQa+PgQg=35.80
2.19(20-g)+2.60g=35.80
43.8-2.19g+2.60g=35.80
0.41g=35.80-43.8
0.41g=-8
g=-8/0.41
g= -19.51
PaQa+PgQg=35.80
2.19a+2.60(-19.51)=35.80
2.19a-50.726=35.80
2.19a=35.80+50.726
2.19a=86.526
a=86.526/2.19
=39.51
PaA+PgG=35.80
Pa(20-G)+2.60G=35.80
35.80/2.60 = 13.77 pounds of grapes, but no money will be left to buy apples, unless Pa=0
G<13.77