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Artyom0805 [142]
3 years ago
8

Stanley has two large books he needs to store in his locker at school. His math book measures 2.5 inches thick × 6 inches long ×

9 inches tall. His social studies book measures 3 inches thick × 7 inches long × 10 inches tall.
What is the total volume of Stanley's two books?
A) 90 cubic inches
B) 135 cubic inches
C) 210 cubic inches
D) 345 cubic inches
Mathematics
1 answer:
Ket [755]3 years ago
6 0

Answer:

345 cubic inches

Step-by-step explanation:

2.5(6)9 = 135

3(7)10 = 210

135 + 210 = 345

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Answer:

15:60, which when simplified is 1:4

7 0
3 years ago
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You take a three-question true or false quiz. You guess on all the questions. What is the probability that you will get a perfec
elena-14-01-66 [18.8K]
The probability that you will guess the first answer correctly  =  1/2  =  0.5
The probability that you will guess the second answer correctly  =  1/2  =  0.5
The probability that you will guess the third answer correctly  =  1/2  =  0.5

The probability that you will guess all three answers correctly is

                (0.5) x (0.5) x (0.5)  =  0.125  =  12.5% .

============================

Here are all the ways your answer sheet could wind up:
(R = a right answer.  W = a wrong answer.)

W W W 
W W R
W R W
W R R
R W W
R W R
R R W
R R R

Number of possible ways to score 0 right out of 3 questions:  1 way
Number of possible ways to score 1 right out of 3 questions:  3 ways
Number of possible ways to score 2 right out of 3 questions:  3 ways
Number of possible ways to score 3 right out of 3 questions:  1 way

Statistically, if your answers are all pure guesses, 
then on the average, the score you expect is

      (0 + 33-1/3 + 33-1/3 + 33-1/3 + 66-2/3 + 66-2/3 + 66-2/3 + 100) / 8

   =                  400 / 8

   =                      50%  .  

If you're happy with that score, great !  
Go to the movies the night before the test,
and start guessing.


5 0
3 years ago
Suppose that y varies directly with x<br> and y = 10 when x = 20. What is y<br> when x = 15?
tresset_1 [31]

Answer: y = 7.5

Step-by-step explanation:

Suppose that y varies directly with x

That is, y∝x

Convert y∝x to a full equation by introducing a constant k to the right hand side.

Therefore, y = kx

Given that y = 10 and x = 20

Substitute y and x in the equation above. We have;

10 = k(20)

10 = 20k

20k = 10

k = 10/20

k = 0.5

Since k = 0.5, the equation y = kx becomes y = 0.5x

Now, to find y if x = 15, substitute x in equation y = 0.5x

Therefore, y = 0.5(15)

y = 7.5

5 0
3 years ago
Triangles triangle ABC and triangle DEF are similar. Find the angles of these triangles if Mesurements of angle A=100 degrees, a
beks73 [17]

Answer:

<D = 100

<E =30

<F =50

Step-by-step explanation

Given that triangles triangle ABC and triangle DEF are similar, this means that their angles are congruent i.e

<A = <D

<B = <E

<C = <F

Given

<A = 100 then <D = 100

<B = 30°, then <E = 30°

To get <F, we will use the expression

<D+<E+<F = 180 (sum of angles in a triangle is 180°)

100+30+<F = 180

130+<F = 180

<F = 180-130

<F = 50°

Hence the measure of <F is 50°

3 0
3 years ago
Which literal equation is not equivalent to x equals two y plus z ?
abruzzese [7]

Answer:

x minus z equals two times y

Step-by-step explanation:

x minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times yx minus z equals two times y

4 0
3 years ago
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