MATHEMATICS MIDDLE SCHOOL

How many times larger is 7 X 10 with Exponent of 5
than 1 X 10 with Exponent of 3 ?

Answers

Answer 1
Answer: 1,680,700 times larger

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You have 80 pieces of fabric to make a wall hanging. Each piece of fabric is a square with a side length of 5 inches. You use as many pieces of fabric as possible to create a square wall hanging.What is the area of the wall hanging?


How many pieces of fabric are left over?

How many more pieces of fabric would you need to increase the size of the wall hanging?

Answers

The square wall hanging made from pieces of fabric will have an area of 1600 square inches. There will be 16 pieces of fabric left over. 1 more piece of fabric is needed to increase the size of the wall hanging.

The first thing to do in this process is to determine how many square pieces of fabric you can use to form a larger square. In order to have a square, you need the same number of pieces on each side, so the number of pieces used must be a perfect square. The largest perfect square less than or equal to 80 is 64 (which is 8^2), so you would use 64 pieces to form the wall hanging.

Therefore, the area of the wall hanging (which is side squared) is therefore 8 pieces x 5 inches x 8 pieces x 5 inches = 1600 square inches.

To find out how many pieces are left over, you subtract the number of pieces used from the total you started with, therefore 80 - 64 = 16 pieces of fabric are left over.

To increase the size of the wall hanging by one row and column (which remains a square), you would need to go up to the next perfect square which is 9^2 = 81, so you need 81 - 80 = 1 more piece of fabric.

Learn more about Area here:

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The are would be 25

and we could make 3 squares. 75

5inches will be left over.

The scatter plot below shows the number of pizzas sold during weeks when different numbers of coupons were issued. The equation represents the linear model for this data.y = 3.4x + 43



According to the model, what is the average number of pizzas sold in one night if no coupons are issued?



A. 0

B. 21

C. 43

D. 60

E. 70

Answers

Answer:

The average number of pizzas sold in one night if no coupons are issued is 43.

Step-by-step explanation:

In the scatter plot the average number of pizzas sold is represented on x and number of coupons issued is represented on y.

The trend line of this linear model is y = 3.4x + 43

So, when no coupons are issued then the value of x becomes 0, then putting the value of x in the equation,

\Rightarrow y=3.4(0)+43

\Rightarrow y=0+43

\Rightarrow y=43

Therefore, the average number of pizzas sold in one night if no coupons are issued is 43.

Answer:

The correct answer option C.

Step-by-step explanation:

Let x be the number of coupons issued.

Let y be the number of the pizzas sold.

The given equation:

y=3.4x+43

This given equation of an straight line.

Number of pizzas when no coupons were issued.

y=3.4x+43=3.4* 0+43=43

43 number of pizzas were sold in one night.

Hence, the correct answer option C.

Plz help what is the missing number 1,4,9,16 what is after 16 plz help me fast thank you

Answers

The answer is 25.

The sequence was following the pattern of squaring numbers that were in chronological order.

1^2=1
2^2=4
3^2=9
4^2=16

So, next number would be 5^2=25.
the answer would be 25

0.07 is 1/10 of what

Answers

1/10 of x=0.07
0.1x=0.07
x=(0.07)/(0.1)
x=0.7
70 seven times ten is 70

5) A stereo speaker in the shape of a triangular pyramid has a height of 6 inches. The area of the base of the speaker is 11 square inches. What is the volume of the speaker in cubic inches?

Answers

volume of the speaker= 22 cubic inches

Step-by-step explanation:

  • The formula to find this question is
  • V= 1/3 BH
  • WHERE H =6 INCHES
  • Area of base = 11 square inches
  • therefore,
  • v= 1/3 (11) (6)
  • volume of the speaker= 22 cubic inches

Allen runs 8 miles in 3 hours at a steady pace.  how long does it take him to run 3 miles

Answers

\begin{array}{ccc}8miles&-&3hours\n\n3miles&-&xhours\end{array}\n\n8x=3\cdot 3\n\n8x=9\ \ \ \ /:8\n\nx=(9)/(8)\n\nx=1(1)/(8)\ (h)



v=(8)/(3)\ mph\n\ns=3miles\n\nt=s:v\n\nt=3:(8)/(3)=3\cdot(3)/(8)=(3)/(1)\cdot(3)/(8)=(9)/(8)=1(1)/(8)\ (h)
It takes Allen 1 1/8 hours to run 3 miles.
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