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3 years ago

A container holds 21 spoons and 27 forks. What is the ratio of spoons to the total number of utensils in the container?

1 answer:

4 0

If there's 21 spoons and 27 forks than there are 48 utensils, and the ratio of spoon to total stilis is 21/48, and if you reduce that it is 7/16. So your answer is B. 7/16.<span />

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Which table of values can be used to graph the function.

Dafna11 [192]

Y = -4x + 3
For x = 0, y = -4(0) + 3 = 0 + 3 = 3
For x = 1, y = -4(1) + 3 = -4 + 3 = -1
For x = 2, y = -4(2) + 3 = -8 + 3 = -5
For x = 3, y = -4(3) + 3 = -12 + 3 = -9

Option C is the correct answer.

6 0

3 years ago

Read 2 more answers

Please help and show work if you can I only need 10, 11 and 12

postnew [5]

Answer:

Step-by-step explanation:

10). AD = BC [If ABCD is a parallelogram]

3x + 1 = 6x - 4

6x - 3x = 1 + 4

3x = 5

x = $\frac{5}{3}$

11). If ABCD is a parallelogram,

AB = CD

5x - 8 = 2x + 7

5x - 2x = 7 + 8

3x = 15

x = 5

12). If ABCD is a parallelogram,

AB = CD

AB║CD and BD is a transversal intersecting these parallel lines.

∠ABD ≅ ∠BDC [Alternate interior angles]

4x - 1 = x + 38

4x - x = 38 + 1

3x = 39

x = 13

6 0

2 years ago

Solve for x: 4 over x equals 5 over 10 8 9 20 40

Sati [7]

$\frac{4}{x} =\frac{5}{10}$ [4 over x equals 5 over 10]

Solve for x, so you need to isolate/get x by itself in the equation.

$\frac{4}{x} =\frac{5}{10}$ Multiply x on both sides

$(x)\frac{4}{x}=\frac{5}{10} (x)$

$4=\frac{5}{10} x$ Multiply the inverse of 5/10, which is 10/5, to get rid of the fraction and get x by itself

$(\frac{10}{5} )4=(\frac{10}{5} )\frac{5}{10} x$

$\frac{40}{5} =x$

8 = x

4 0

3 years ago

In how many ways can 4 singers be selected from 8 who came to an audition?

elena-s [515]

The first selection can be any one of the 8.
   For each one ...
The second selection can be any one of the remaining 7.
   For each one ...
The third selection can be any one of the remaining 6.
   For each one ...
The fourth selection can be any one of the remaining 5.

Total number of ways to select four = (8 x 7 x 6 x 5) = 1,680 ways

BUT ... There are not 1,680 different groups of 4 .

Each group of 4 can be selected in (4 x 3 x 2) = 24 different ways.

So, although there are 1,680 different ways to select 4 singers,
there are only
   (1,680 / 24) = 70 different groups of 4
   that you can end up with.

7 0

3 years ago

Zack wants a new skateboard that costs $98. He has a coupon for 20% off the original price. The sales tax is 6%, what is the fin

svet-max [94.6K]

The final cost of skateboard will be $83.10

Step-by-step explanation:

Given,

Cost of skateboard = $98

Coupon = 20% off

Amount of discount = 20% of cost of skateboard

$Amount\ of\ discount=\frac{20}{100}*98\\\\Amount\ of\ discount=\frac{1960}{100}\\\\Amount\ of\ discount=\$19.6$

Cost of skateboard after discount = Cost of skateboard - Amount of discount

Cost of skateboard after discount = 98 - 19.6 = $78.4

Sales tax = 6%

Sales tax amount = 6% of discounted price

$Sales\ tax\ amount=\frac{6}{100}*78.4\\\\Sales\ tax\ amount=\frac{470.4}{100}\\\\Sales\ tax\ amount=\$4.70$

Final cost of skateboard = Discounted price + Sales tax

Final cost of skateboard = 78.40+4.70 = $83.10

The final cost of skateboard will be $83.10

Keywords: sales tax, addition

Learn more about addition at:

#LearnwithBrainly

7 0

3 years ago