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3 years ago

14

using your knowledge of cross products how would you solve for x in the following pair of equivalent fraction 7 over x equals 2/

4

1 answer:

Maslowich3 years ago

7 0

Given:

7 2

---- = ----

x 4

Multiply x by 2: 2x; next, multiply 4 by 7: 28. Then equate 2x and 28.

Solving, we find that x = 14.

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Charlie measured the circle-shaped part of a sun his sister drew on the chalkboard. The circumference of the circle is 75.36 cm.

ch4aika [34]

Answer:

The diameter of circle is 24 cm.

Step-by-step explanation:

We are given the following in the question:

Circumference of circle = 75.36 cm

We have to find the diameter of the circle.

Circumference of circle =

$C =2\pi r$

where r is the radius of the circle.

Putting values, we get,

$75.36 = 2\times 3.14\times r\\\\r = \dfrac{75.36}{2\times 3.14}\\\\r=12$

Diameter of circle =

$d=2r\\d=2\times 12=24\text{ cm}$

Thus, the diameter of circle is 24 cm.

4 0

3 years ago

The sales of a sandwich store increased approx. linearly from $52,000 to $116,000 during the first five yrs of business. Write a

dalvyx [7]

From x=1 to x=5
x=1 is starting time
x=time
y=mx+b
m=slope
b=yintercept

slope=(y2-y1)/(x2-x1)
for points (x1,y1) and (x2,y2)

(1,52000) and (5,116000)
slope=(116000-52000)/(5-1)=64000/4=16000
y=16000x+b
find b
(1,52000)
52000=16000(1)+b
52000=16000+b
minus 16000 from both sides
36000=b

the equation is
y=16000x+36000

at 12 years, x=12
y=16000(x)+36000
y=16000(12)+36000
y=192000+36000
y=228000

sales at year 12 is $228,000

8 0

3 years ago

5) Find the area of a rectangle<br> with points at (-8,5), (2,5),<br> (2,-3) and (-8,-3).

Lady bird [3.3K]

Answer:

80 units²

Step-by-step explanation:

Given <u>vertices</u> of a rectangle:

A = (-8, 5)
B = (2, 5)
C = (2, -3)
D = (-8, -3)

As points A and D share the <u>same x-coordinate</u>, and points B and C share the <u>same x-coordinate</u>, the difference between the different <u>x-coordinates</u> is the length of the rectangle:

$\begin{aligned}\implies \textsf{Length} & = x_B-x_A\\& = 2-(-8)\\& = 2+8\\& = 10\; \sf units\end{aligned}$

As points A and B share the <u>same y-coordinate</u>, and points C and D share the <u>same y-coordinate</u>, the difference between the different <u>y-coordinates</u> is the width of the rectangle:

$\begin{aligned}\implies \textsf{Width} & = y_A-y_D\\& = 5-(-3)\\& = 5+3\\& = 8\; \sf units\end{aligned}$

Therefore:

$\begin{aligned}\textsf{Area of a rectangle} & = \sf width \times length\\&=8 \times 10\\&=80 \sf \; units^2\end{aligned}$

7 0

2 years ago

Read 2 more answers

1.) What is the reciprocal of 3 2/5

Radda [10]

Convert this into an improper fraction, we get: 17/5. The reciprocal is 5/17

7 0

3 years ago

Read 2 more answers

The area of a regular hexagon is 10.4 what is the measure of the apothem rounded to the nearest tenth of an inch

QveST [7]

Answer:

answer is 1.73

Step-by-step explanation:

area of a regular polygon is 1/2 (apothem * perimeter )

10.4= 1/2 ( a * 12 ) would be the equation you use to find the answer.

answer is 1.73

6 0

4 years ago