Answer:
c
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{AD}{WZ}[/tex] = [tex]\frac{CD}{YZ}[/tex] , substitute values
[tex]\frac{10}{46}[/tex] = [tex]\frac{5}{YZ}[/tex] ( cross- multiply )
10YZ = 230 ( divide both sides by 10 )
YZ = 23 → c
Michelle went shopping for some clothes and found a pair of slacks that cost
twice as much as a shirt that she liked. If the total, before tax, for the pair of
slacks and the shirt was $22.50, how much was the shirt, before tax?
Answer:
The sirt cost $7.5 before tax.
Step-by-step explanation:
Since the pair of slacks cost twice as much as the shirt, we have:
slacks = 2*shirt
And the total purchase was $22.5, so we have:
slacks + shirt = 22.5
We can create a system of equations such as:
slacks = 2*shirt
slacks + shirt = 22.5
If we apply the first formula on the second we can solve for the value of the shirt, we have:
2*shirt + shirt = 22.5
3*shirt = 22.5
shirt = 22.5/3 = 7.5
So the slacks cost:
slacks = 2*7.5 = 15
What is the volume of this sphere?
Use ≈ 3.14 and round your answer to the nearest hundredth.
with a diameter of 10m
Answer:
523.59 or 523.60
Step-by-step explanation:
Volume for a sphere: 4/3πr^3 (4÷3x π x r ^ 3)
(r is radius, V is volume)
V= 4/3 x π x r^3
The diameter is 10, so the radius is 5...
V= 4/3 x π x 5^3
V= 4/3 x π x 125
CALCULATER: 4 ÷ 3 x π x 125
Answer 523.59 (523.60 rounded)
Find the number, if...
3/8 of it is 24.
Answer:
64
Step-by-step explanation:
To get the answer, just perform the reverse operation of what the question said. In this case, you would want to multiply by the reciprocal, which is (8/3). So the answer is found by just solving 24*(8/3).
Answer:
The number is 64
Step-by-step explanation:
Let the number be x
3/8 of x = 24
x = 24 ÷ (3/8)
[tex]x=24*\frac{8}{3}\\\\x=8*8[/tex]
x = 64
if the area of circle one is equal to the diameter of circle two what is the ratio of the area of circle two to the area of circle one
Answer:
0.7853981634
Step-by-step explanation:
it acually depends on the size of the circle. i asked google and they gave me that answer which is beloow "answer"
what is surface area?
what is the value of x in the equation 4x - 5 = -33
Answer: [tex]x=-7[/tex]
Step-by-step explanation:
[tex]4x-5 =-33[/tex]
ad 5 to both sides
[tex]4x=-28[/tex]
divide both sides by 4
[tex]x=-7[/tex]
plug in x to double check
[tex]4(-7)-5=-33\\-28-5=-33\\-33=-33[/tex]
hope this helps :3
Robert works at a car dealership. Each month, he receives a base salary of $1,854.00, plus a commission of $478.00 for each vehicle he sells. Which of the following equations could be used to determine Robert's total income each month? (Let x represent the number of cars sold by Robert and y represent his total monthly income.)
Answer:
y = 478x + 1,854
Step-by-step explanation:
6x + 14 = 7 - x
А.
В. ДІ
1
D. I
NA
Huh?
Answer:
x = -1
Step-by-step explanation:
6x + 14 = 7 - x
Add x to each side
6x+x + 14 = 7 - x+x
7x+14 = 7
Subtract 14 from each side
7x+14-14 = 7-14
7x = -7
7x/7 = -7/7
x = -1
If 0.75A = 36, what would you do to solve
for A?
Answer:
you divide 36 by 0.75
Step-by-step explanation:
Answer:
Divide 36/.75
Step-by-step explanation:
You need to isolate A in order to solve the equation.
The radius of a circle is 2 centimeters. What is the circles circumference?
Answer: 4π cm or 12.56 cm
Step-by-step explanation: To find the circumference of this circle, start with the formula for the circumference of a circle which is C = 2πr.
Since the radius is 2 centimeters, we can
plug in 2 centimeters for r in the formula.
So we have (2)(π)(2 cm) which is equal to 4π cm.
So the circumference of this circle is 4π cm.
Remember that π is approximately equal to 22/7 or 3.14 so we can estimate the value of the circumference by plugging in 3.14 for π.
So we have (4)(3.14) which is equal to 12.56.
So the circumference of the circle is
approximately equal to 12.56 cm.
In the diagram below, line MN is a diameter of the circle. Find angle XYZ, in degrees.
[asy]
unitsize(2 cm);
pair A, B, C, E, F, O;
O = (0,0);
E = dir(180);
F = dir(0);
A = dir(140);
C = dir(60);
B = extension(A,F,C,E);
draw(Circle((0,0),1));
draw(E--C--O--A--F--cycle);
label("$X$", A, NW);
dot("$Y$", B, N);
label("$Z$", C, NE);
label("$M$", E, W);
label("$N$", F, dir(0));
dot("$O$", O, S);
label("$80^\circ$", dir(30), NE);
label("$35^\circ$", dir(160), W);
[/asy]
By chasing the angles, angle XYZ works out to 133.5 degrees.
Another quadratic formula and the discriminant problem that I am stuck on. the answer is {2, 1/2}
Answer:
See explanation
Step-by-step explanation:
[tex]2b^2-5b+2=0[/tex]
[tex]b=\dfrac{5\pm\sqrt{25-16}}{4}=\dfrac{5\pm3}{4}=\dfrac{8}{4}, \dfrac{2}{4}=2,1/2[/tex]
Hope this helps!
Terry is buying water. He needs 22 liters. A half-liter of water costs $2.11. A 200 -milliliter container of water costs $1.01. What should Terry buy so he gets 22 liters at the lowest price?
Answer: Terry should buy the half-liter of water that costs $2.11 because buying 200 litres here is cheaper.
Step-by-step explanation:
Terry is buying water and needs 22 liters. A half-liter of water costs $2.11. Using this information, 22 litres will cost:
= 22 ÷ 1/2 × 2.11
= 22 × 2 × 2.11
= $92.84
Also, A 200 -milliliter container of water costs $1.01. Using this information, 22 litres will cost:
= 22 × 1.01 ÷ 200/1000
= 22 × 1.01 × 1000/200
= 22 × 1.01 × 5
= $111.1
Based on this information, Terry should buy the half-liter of water that costs $2.11 because buying 200 litres here is cheaper.
Please answer asap. Find the volume.
Answer:
5cm³
Step-by-step explanation:
Volume of rectangular prism formula= L×W×H
1/2×4×5/2=
2×5/2=
10/2=
5cm³
2+2+18x15+1 what is the answer?
Answer:
Think its 275
Step-by-step explanation:
Answer:
Step-by-step explanation:
Mary's dog weighs 185 pounds. Her dog needs to lose between 9 and 15 pounds. Between what two percentages, rounded to the nearest whole numbers, should Mary's dog lose weight with respect to its current weight of 185 pounds. Select your answers from the drop-down lists.
Answer:
5-8% of the weight
Step-by-step explanation:
The dog needs to lose a weight within the values 9-15 pounds
To answer this question, what we just need to do is to know the percentage of 185 pounds that is 9 and the percentage of 185 pounds that is 15
The percentage decrease can be calculated using the formula;
(difference)/old value * 100%
For the 9 pound loss, we have ;
9/185 * 100% = 4.86 which is approximately 5%
For the 15 pound loss, we have;
15/185 * 100% = 8.11% which is approximately 8%
Thus, the dog is losing between 5-8% of its weight
There is 25 coins in a bag, 5 of them are quarters. What is the probability of getting a quarter? Express as all four types of probability.
Answer:
Step-by-step explanation:
The ptobability of getting a quarter is 5/25 to the simpliest form is 1/5
The four probability is basic probability, compound event, independent and dependent event and the probability line.
I hope it'll help you much
Thank you for asking
thomas has a square swimming pool at home. Each side is 18 m long. What is the area of the swimming pool
Answer:
324 m^2
Step-by-step explanation:
since it is a square, each side is 18 meters. to find the area, you multiply the length by the width. the answer is 324 m^2
translate (-4,5) up 3 units
then reflect the result over the y-axis
what are the coordinates of the final point?
Answer:
4,8
Step-by-step explanation:
reflecting over y axis is flipping to the other side. and you are going up 3 points so 5+3 is 8. and negative four turns to positive four
what is 2+ 7 11/12 I need help on this one so please someone help me :)
Answer:
= 119/12
OR
= 9 11/12
Step-by-step explanation:
2 + 7 11/12
= 2 + 95/12
= 2 * 12 + 95/12
= 24 + 95/12
= 119/12 = 9 11/12
2(-n -3) - 7(5+2n)
Simplify to create an equivalent expression
[tex]\text{Simplify:}\\\\2(-n -3) - 7(5+2n)\\\\\text{Use the distributive property}\\\\-2n-6-35-14n\\\\\text{Combine like terms}\\\\-2n-6-35-14n\\\\-16n-6-35\\\\\boxed{-16n-41}[/tex]
Need help with this question anybody there
Answer:
Read below
Step-by-step explanation:
I don't know your teacher's name but I know the answer to the other question.
Each additional mile will take a longer time of 2 minutes. Because the miles increase, the time would increase. If you think about it and you work as a pizza deliverer, the time should increase if the number of miles also increases. It's not magic.
which one would you choose and please explain why
If x∥y, m∠1=120°, and m∠7=45°, find the measure of each missing angle.
Answer:15
Step-by-step explanation:because we will 180-(120+45)
if 2x+15= 30
then what is x?
Answer:
x = 15/2
Step-by-step explanation:
2x + 15 = 30
2x = 15
x = 15/2 or 7.5
Answer:
7.5
Step-by-step explanation:
2x+15=30
2x=30-15
2x=15
x=7.5
12 more than m machines
Answer:
m+12
Step-by-step explanation:
m+12
A farmer sells 8.8 kilograms of pears and apples at the farmer's market. 2 5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market
Answer:
5.28 kg
Step-by-step explanation:
A farmer sells 8.8 kilograms of pears and apples at the farmer's market and 2/5 of this weight is pears.
Since a fraction is a part of a whole, 1, then, the fraction repressing the weight of the apples is:
1 - 2/5 = 3/5
Therefore, the weight of apples is/
3 / 5 * 8.8 = 5.28 kg
She sold 5.28kg of apples at the farmer's market.
Erica has a small metal treasure box. The inside of the box is 3 inches wide, 6 inches long, and 4 inches deep. Erica wants to line the box with fabric to protect the items she puts in the box. How many square inches of fabric will she need? Show your work
Answer: she will need 108 square inches of fabric.
Step-by-step explanation:
To determine the number of square inches of fabric that she will need, we would determine the surface area of the inner part of the box. The formula for determining the surface area of a box or cuboid is expressed as
Surface area = (2lw + 2lh + 2wh)
Where
l represents length of the box = 6 inches
w represents width of the box = 3 inches
h represents height of the box = 4 inches
Therefore,
Surface area = (2 × 6 × 3) + (2 × 6 × 4) + (2 × 3 × 4) = 108 inches²
The volume of an oblique pyramid with a square base is V units3 and the height is h units.
An oblique pyramid with a square base has a volume of V units cubed and a height of h units.
Which expression represents the area of the base of the pyramid?
StartFraction 3 V Over h EndFraction units2
(3V – h) units2
(V – 3h) units2
StartFraction V Over 3 h EndFraction units2
Answer:
StartFraction 3 V Over h EndFraction units2Step-by-step explanation:
volume of an oblique square pyramid V = 1/3 * b * H where;
b is the base area of the pyramid
H is the height of the pyramid
To determine the expression that represents area of the base of the pyramid, we will make the variable 'b' the subject of the formula from
V = 1/3 bH
[tex]V=\frac{bH}{3}[/tex]
Cross multiplying we have;
[tex]3V = bH\\[/tex]
Dividing both sides by H we have;
[tex]\frac{3V}{H} = \frac{bH}{H} \\b = \frac{3V}{H}units^{2}[/tex]
This gives the correct expression for the base area of the pyramid
Answer:
A.
Step-by-step explanation:
Select all the equations where a = 8 is a solution.
Choose 3 answers:
A 2 + 11 = 15
6 l = 8 + 0
©
15
a = 23
0 42 = 7a
Answer: B, C and E
Step-by-step explanation: