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olasank [31]
2 years ago
11

On a map with a scale of 1 inch= 12 miles, the distance between two cities is 4

Mathematics
1 answer:
Novosadov [1.4K]2 years ago
6 0

48 miles. If 1 inch means 12 miles you can multiply both sides by 4 to get "4 inches = 48 miles"

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Solve the equation (linear equation)<br><br> <img src="https://tex.z-dn.net/?f=%28%5Cfrac%7B16%7D%7B9%7D%29%20%5E%7B2x%20%2B5%7D
nignag [31]

Answer: x=-\frac{3}{5}

Step-by-step explanation:

By the negative exponent rule, you have that:

(\frac{1}{a})^n=a^{-n}

By the exponents properties, you know that:

(m^n)^l=m^{(nl)}

You can rewrite 16 and 9 as following:

16=4²

9=3²

Therefore, you can rewrite the left side of the equation has following:

(\frac{4^2}{3^2})^{(2x+5)}=(\frac{3}{4})^{(x-7)}\\\\(\frac{3^2}{4^2})^{-(2x+5)}=(\frac{3}{4})^{(x-7)}\\\\(\frac{3}{4})^{-2(2x+5)}=(\frac{3}{4})^{(x-7)}

 As the base are equal, then:

-2(2x+5)=x-7

Solve for x:

-2(2x+5)=x-7\\-4x-10=x-7\\-4x-x=-7+10\\-5x=3\\x=-\frac{3}{5}

6 0
3 years ago
The measures of the angles of a triangle are shown in the figure below. solve for x.
Lina20 [59]

Answer:

33

Step-by-step explanation:

7 0
2 years ago
8(-13)-9y=-50<br><br> what does y=
klio [65]

Answer:

y = -6

Step-by-step explanation:

Step 1: Define

8x - 9y = -50

x = -13

Step 2: Substitute and solve for <em>y</em>

8(-13) - 9y = -50

-104 - 9y = -50

-9y = 54

y = -6

6 0
3 years ago
Read 2 more answers
2y + 12 = -3x<br><br> solve pls i have more I WILL GIVE EXTRA POINTS!!!!!!!!!!<br> 20+
Mrac [35]

2y + 12 = -3x

Step-by-step explanation:

Divide y y by 1 1 . Divide 12 12 by 2 2 . Use the slope-intercept form to find the slope and y-intercept. The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept.

8 0
2 years ago
A hole is being dug into the ground at a rate of 5.3 feet per minute. Write an integer to describe the depth of the hole after 1
inna [77]

Answer:

79.5 feet

Step-by-step explanation:

5.3 per minute can also be written as the ratio 5.3:1. so if we have x:15, we can see that we've multiplied the right side by 15 so we have to do the same to the other side. 15 times 5.3 is 79.5. so thats your answer.

i hope this helps :))

8 0
2 years ago
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