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andrezito [222]
3 years ago
12

Are the two expressions equivalent when x = 20? 8(12x + 4) 96x + 32

Mathematics
1 answer:
Iteru [2.4K]3 years ago
7 0
Yes
<span>8(12x + 4) = 8[12(20) + 4 ] = 1952

</span>96x + 32 = 96 (20) + 32 = 1952
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Will reward brainliest
stiks02 [169]

Answer:

∴ opposite side = √108

Step-by-step explanation:

Here hypotenuse = 12 ft

It is a right angled triangle.

here triangle ABC in which ∠ C = 60°

 ∠B = 90°

so ∠A = 180° -( 90 +60)

           = 180 - 150

            = 30°

cos 60° = adjacent side ÷ hypotenuse

  \frac{1}{2} = x ÷ 12

\frac{1}{2} = \frac{x}{12}

12 = 2 x

∴ x = 6

adjacent side = 6

hypotenuse ² = adjacent side² + opposite side²

 12²  = 6² + opposite side²

144 - 36 = opposite side ²

108 = opposite side²

∴ opposite side = √108

6 0
4 years ago
the sunshine rental company rents cars for $17 per day plus 50 cents per mole driven the rent me company rents cars for $20 per
forsale [732]

Answer:

21.43 miles

Step-by-step explanation:

Let

x ---> the number of miles

y ---> the total cost of rent a car per day

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

we have

<em>sunshine rental company</em>

The slope is equal to

m=\$0.50\ per\ mile

The y-intercept is equal to

b=\$17

substitute

y=0.50x+17 ----> equation A

<em> rent me company</em>

The slope is equal to

m=\$0.36\ per\ mile

The y-intercept is equal to

b=\$20

substitute

y=0.36x+20 ----> equation B

equate equation A and equation B

0.50x+17=0.36x+20

solve for x

0.50x-0.36x=20-17\\0.14x=3\\x=21.43\ miles

7 0
4 years ago
Emma's grades are 100, 98, 94, 90, and 88. Emma decides not to study for the final because her grades are so high on all of the
makkiz [27]

Answer:

Average x = 89

Size n = 6

Sum Sum = 534

Solution:

The Average (Mean) is equal to the Sum of all data divided by the Size of the data set.

Average = Sum / Size

= 534 / 6

= 89

8 0
3 years ago
How are squares and rectangles the same
OleMash [197]

Squares and rectangles are both: parallelograms and quadrilaterals.
5 0
3 years ago
Read 2 more answers
The sum of 4 consecutive integers is 182. W hat is the sum of the middle two numbers?
Kamila [148]

Answer:

91

Step-by-step explanation:

Let

x = first number

x+1 = second number

x+2 = third number

x+3 = fourth number

Total = 182

x + x + 1 + x + 2 + x + 3 = 182

4x + 6 = 182

Subtract 6 from both sides

4x + 6 - 6 = 182 - 6

4x = 176

Divide both sides by 4

x = 176 / 4

= 44

x = 44

x = 44

x+1 = 44 + 1 = 45

x+2 = 44 + 2 = 46

x+3 = 44 + 3 = 47

Sum of the two middle numbers = 45 + 46

= 91

8 0
3 years ago
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