suzanne needs materials for her school project. she buys 2.45 yards of material at $4.84 a yard. what is the total cost of the material? round to the nearest cent

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Answer 1

Answer: If each yard of material costs $4.84, then you just take this amount and multiply it by 2.45. Therefore 2.45 x 4.84=11.86. Your answer is $11.86.

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Need help with 16-20

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16. 7 per hour.

17.400

18. 19 2/4

19. 107.91

20. 11.8

Three consecutive natural numbers have a sum of 36. What is the greatest number?

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It's 12 because if you divide 36 by 3 (consecutive) it equals 12

If you have three of them, they go in order: 2, 3, 4 and so on.

If the lowest is X then the next two are x + 1 and x + 2.

Though the question asks you to look for the highest, so I'll call that x, so the other two become "x - 1" and x - 2

So if we add them up to get 36, we get:

x + (x - 1) + (x - 2) = 36

Solving for x:

3x - 3 = 36
3x = 39
x = 13

53/7 as a mixed number

Answers

Its already an improper fraction.
If you mean mixed number it would be 7 4/7.
Hope this helps!:)

the answer is is 7 4/7 because 7x7=49 and there is 4 left over to make the 4/7

-3(4v+1)-3(2v+3) how do you simplify

Answers

First you have to multiply the numbers out of the paranthesis, with the numbers in it:
$-3(4v+1)-3(2v+3)\n -3\cdot 4v-3\cdot 1-3\cdot 2v-3\cdot 3$
then solve :
$-12v-3-6v-9\n -18v-12$

$-3(4v+1)-3(2v+3) =\n-12v-3-6v-9=\n-18v-12$

Chelsea shows her work in finding the solution to 40x– 5 = 2+ 3(x– 3). Afterchecking her answer in the original equation, she found that it did not work. Where did she make a mistake?
a. step 1: she distributed incorrectly
b. step 2: She subtracted 3x incorrectly
c. Step 3: she’s simplified incorrectly
d. step four: she subtracted 5 instead of adding 5

Answers

Answer:

The mistake that Chelsea made was that she instead of adding 5 to both sides at step 4, she subtracted them. If she added the 5 instead of subtracting it, the answer she should've gotten was -2.

Answer:

Step 4: She subtracted 5 instead of adding 5.

In the given figure , if AB l BD , then the value of x is

Answers

In the figure as we can see -

Angle 32 = Angle DAB (vertically opposite angles)

Angle ABD = 90 degrees

And we know that,

$Sum$ $of$ $all$ $angles$ $of$ $triangle$ $=180$ $degrees$

So,

$32+90+x+14=180$

$136+x=180$

$x=180-136$

$x=44$ $degrees$

$x+14+90+32=180\n x=44$

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