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4 years ago

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Mathematics

2 answers:

AURORKA [14]4 years ago

5 0

Answer:

128

Step-by-step explanation:

I just took the test and I can confirm that this answer is correct! :D

Lynna [10]4 years ago

3 0

We know that

[Surface area ]=[the area of 4 triangles]+[the area of square base]
[the area of square base]=8*8--------> 64 ft²

[the area of 1 triangle]=(1/2)*b*h
b=8 ft
How the angle is 45°-------> h=b/2-------> h=4 ft
then
[the area of 1 triangle]=(1/2)*8*4------> 16 ft²
and
[the area of 4 triangles]=4*16--------> 64 ft²

[Surface area ]=[64 ft²]+[64 ft²]----------> 128 ft²

the answer is 128 ft²

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What valur of x makes the equation below true? 9^5 * 9^7=9^x

klasskru [66]

Answer:

x=12

Step-by-step explanation:

(9^5)(9^7)=9^x

282429536481=9^x

<em>Step 1: Flip the equation.</em>

9^x=282429536481

<em>Step 2: Solve Exponent.</em>

9^x=282429536481

log(9^x)=log(282429536481)(Take log of both sides)

x*(log(9))=log(282429536481)

x=log(282429536481)/log(9)

x=12

8 0

2 years ago

please solve all of them Elaine bought a total of 15 shirts and pairs of pants She bought 7 more shirts then pants how many of e

mihalych1998 [28]

Answer

Question 1

4 pants

11 shirts

Question 2

Shady has 30 video games.

Preston has 19 video games.

Question 3

1 muffin costs $1.5

1 quart of milk costs $3

Explanation

Question 1

Let the number of shirts be s

Let the number of pants be p

She bought a total of 15 shirts and shirts

s + p = 15

She bought 7 more shirts than pants.

s = 7 + p

So, we can solve the simultaneous equation.

s + p = 15

s = 7 + p

Substitute for s in equation 1

s + p = 15

7 + p + p = 15

7 + 2p = 15

2p = 15 - 7

2p = 8

Divide both sides by 2

(2p/2) = (8/2)

p = 4 pants

s = 7 + p = 7 + 4 = 11 shirts

Question 2

Let the number of games Shady has be s

Let the number of games Preston has be p

Together, they have a total of 49 video games

s + p = 49

Shady has 11 more games than Preston.

s = 11 + p

So, we can solve the simultaneous equation.

s + p = 49

s = 11 + p

Substitute for s in equation 1

s + p = 49

11 + p + p = 49

11 + 2p = 49

2p = 49 - 11

2p = 38

Divide both sides by 2

(2p/2) = (38/2)

p = 19 video games

s = 11 + p = 11 + 19 = 30 video games

Question 3

Let the cost of a muffin be m

Let the cost of a quart of milk be q

The cost of 8 muffins and 2 quarts of milk is $18.

8m + 2q = 18

The cost of 3 muffins and 1 quart of milk is $7.50

3m + q = 7.5

So, we can solve the simultaneous equation

8m + 2q = 18

3m + q = 7.5

Solving this,

m = 1.5 dollars

q = 3 dollars

Hope this Helps!!!

3 0

1 year ago

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Marina86 [1]

Answer:

36 fries

Step-by-step explanation:

Michael has a probability of 0.3.

Lidia has a probability of 0.1.

Alexandra has the probability of 0.32.

Catherine has the probability of 0.1.

Let the probability of Ronald be x

Sum of all the probabilities must be 1

So, $0.3+0.1+0.32+0.1+x=1$

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$x=0.18$

So, probability of Ronald is 0.18

We are given that here are 200 fries in the basket.

So, the number of fries that Ronald will eat = $0.18 \times 200 =36$

Hence Ronald will eat 36 fries.

4 0

3 years ago

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GenaCL600 [577]

Answer:

Step-by-step explanation

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3 years ago

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GrogVix [38]

Answer:

Correct. She could have also subtracted 100 from both sides, then divided by Negative one-half.

Step-by-step explanation:

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3 years ago