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worty [1.4K]
3 years ago
7

Suppose that 18 inches of wire costs 72 cents.

Mathematics
1 answer:
NeX [460]3 years ago
7 0

Answer:

41 inches of wire will cost 164 cents.

Step-by-step explanation:

1st Method

Use proportions!

18/ 72 = 41/ c

Cross multiply

18 * c = 72 * 41

18c = 2952 divide both sides by 18

<em>c = 164</em>

2nd Method.

Find the rate of the costs. r = rate

18*r = 72

r = 4 cents/inch

Now that you've found the rate you can multiply it by 41 inches to find the cents the wire costs!

41 inch * r (cents/inch)          inches cancels out.

41 * 4 = 164

<em>164 cents</em>

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What is the number that is two more than one-tenth of one-fifth of one-tenth of 2,000​
topjm [15]

Answer:

6

Step-by-step explanation:

2 + (1/10)(1/5)(1/10)2000 = 2 + (1/500)(2000) = 2 + 4 = 6

6 0
3 years ago
Find the measure of ∠ 7.<br><br> Given:<br> ∠1 is a right angle<br> ∠3 = 37°<br> ∠8 = 62°
Bess [88]

Answer:

<h2>-28°</h2>

Step-by-step explanation:

It is given that ∠1 is a right angle that is ∠1 = 90°.

∠8 - ∠1 = ∠ 7 = 62° - 90° = - 28°.

7 0
3 years ago
Some numbers are 1/4 as large as another number. the difference of a number is 12.
Eddi Din [679]

Answer:

Step-by-step explanation:

x = ¼y

y - x = 12

y - ¼y = 12

¾y = 12

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3 0
3 years ago
If a rectangle has a length of 5in, a width of 4in, and a height of 8in.Evaluate the volume using the formula: V=LWH 20 inches c
ozzi

Substitute the numbers in the equation:

V=LWH

Since L=5in, W=4in and H=8in:

\begin{gathered} V=(5in)(4in)(8in) \\ =160in^3 \end{gathered}

Therefore, the volume is equal to 160 inches cubed.

5 0
1 year ago
Please find the exact length of the midsegment of trapezoid JKLM with vertices J(6, 10), K(10, 6), L(8, 2), and M(2, 2). Thank y
I am Lyosha [343]

Answer:

the exact length of the midsegment of trapezoid JKLM  = \mathbf{ = 3 \sqrt{5} } i.e 6.708 units on the graph

Step-by-step explanation:

From the diagram attached below; we can see a graphical representation showing the mid-segment of the trapezoid JKLM. The mid-segment is located at the line parallel to the sides of the trapezoid. However; these mid-segments are X and Y found on the line JK and LM respectively from the graph.

Using the expression for midpoints between two points to determine the exact length of the mid-segment ; we have:

\mathbf{ YX = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} }

\mathbf{ YX = \sqrt{(8-5)^2+(8-2)^2} }

\mathbf{ YX = \sqrt{(3)^2+(6)^2} }

\mathbf{ YX = \sqrt{9+36} }

\mathbf{ YX = \sqrt{45} }

\mathbf{ YX = \sqrt{9*5} }

\mathbf{ YX = 3 \sqrt{5} }

Thus; the exact length of the midsegment of trapezoid JKLM  = \mathbf{ = 3 \sqrt{5} } i.e 6.708 units on the graph

8 0
3 years ago
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