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Minchanka [31]
3 years ago
12

The area of a rectangle is 28 square miles. The length is 7 miles.

Mathematics
2 answers:
kotykmax [81]3 years ago
6 0
4 mi. because  L times W = H

Semmy [17]3 years ago
3 0

the width of the rectangle is 4 miles
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Jimmy purchased 15 tickets to a concert and spent $140. He purchased some children's tickets and some adult tickets. The childre
fiasKO [112]

Answer:

Jimmy purchased 8 of the children's ticket and 7 of the adult's ticket.

Step-by-step explanation:

Let c = children tickets

Let a = adult tickets

<u>Given the following data;</u>

Number of tickets = 15

Total amount spent = $140

Cost of each children ticket = $7

Cost of each adult ticket = $12

*Translating the word problem into an algebraic equation (system)*

<em>For the total number of tickets;</em>

c + a = 15 .........equation 1

<em>For the total amount spent;</em>

7c + 12a = 140 ..........equation 2

*Solving the linear equation by using the substitution method*

<em>Making c the subject in equation 1:</em>

c = 15 - a .......equation 3

<em>Substituting "c" into equation 2;</em>

7(15 - a) + 12a = 140

<em>Simplifying the equation, we have;</em>

105 - 7a +12a = 140

105 + 5a = 140

<em>Rearranging the equation, we have;</em>

5a = 140 - 105

5a = 35

a = \frac {35}{5}

a = 5 (For the $12 adult ticket).

To find the number of children tickets;

Substituting "a" into equation 3;

c = 15 - 7

c = 8 (For the $7 children ticket).

4 0
3 years ago
Convert 7/8 to 32nds
julsineya [31]
The answer should be 28/32
6 0
3 years ago
6. Which equation, in point-slope form, passes through (–2, 4) and has a slope of 3?
liubo4ka [24]
96 product
Gdnndhfgehenej
4 0
3 years ago
Which expressions can be used to find m∠ABC? Check all that apply.
valina [46]

Answer:

\cos^{-1}(\frac{6.3}{9.8})

\sin^{-1}(\frac{7.5}{9.8})

Step-by-step explanation:

Recall the mnemonics SOH-CAH-TOA

The sine ratio is the length of the opposite side expressed over the hypotenuse.

\sin m\angle ABC=\frac{7.5}{9.8}

Take the sine inverse of both sides to get;

m\angle ABC=\sin^{-1}(\frac{7.5}{9.8})

The cosine ratio is the length of the adjacent side expressed over the hypotenuse.

\cos m\angle ABC=\frac{6.3}{9.8}

Take the cosine inverse of both sides to get;

m\angle ABC=\cos^{-1}(\frac{6.3}{9.8})

4 0
4 years ago
If we are given the value of α. How can we find the value of β?
Cloud [144]

Answer:

β = 140   - α

we know that the "missing" angle is 40° since 40 + 140 = 180

we also know that the total sum of angles in a triangle is 180

so  β = 180 - 40 - α

or β = 140   - α

Step-by-step explanation:

4 0
3 years ago
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