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2 years ago

Complete the table of values for the equation 9x + 3y = 54.

Mathematics

2 answers:

mote1985 [20]2 years ago

8 0

Answer:if im right you need to do 54 divided by 2= 27 so 27+27=54

Step-by-step explanation:

krok68 [10]2 years ago

6 0

Answer:when x=0; y=18

When x=;6 y=0

When x=3; y=9

Step-by-step explanation:

To complete the table for when x=0, you need to make 'y' subject of the formula.

9x+3y=54

3y=54-9x

Divide both sides by the coefficient of y.

y=(54-9x)÷3

y=18-3x

Therefore, when x=0,

y=18-3(0)

y=18.

When x=3,

y=18-3(3)

y=18-9

y=9

When y=0, you need to make x subject of the formula.

9x+3y=54

9x=54-3y

Divide both sides by 9

x=(54-3y)÷9

x=6-y÷3

When y=0,

x=6-(0)÷3

x=6.

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grin007 [14]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

tatyana61 [14]

Answer:

32 tablespoons

$2.8

Step-by-step explanation:

Problem 1:

A chef has 2 cups of vinegar and she knows that there are 8 fluid ounces in one cup.

So, in total in 2 cups of vinegar, there are (8×2) =16 fluid ounces of liquid.

Now, 2 tablespoons volume is there in 1 fluid ounce.

Therefore, in total in 2 cups of vinegar, there are (16×2) =32 tablespoons of volume. So, option A is correct. (Answer)

Problem 2:

In a market, 7 oranges are sold for $2.45.

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2 years ago

A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 8% vinegar, and the second brand co

jok3333 [9.3K]

Answer:

76 mL of 8% and 304 mL of 13%

Step-by-step explanation:

Set up a table like this (this is the same table for any mixture problem):

mL total * % vinegar = % vinegar/mL

13%

total %

What you do with this table is multiply the first 2 columns and they equal the last column. We already know the middle column's entries from what we are given. But remember that a percent needs to be expressed as a decimal:

mL total * % vinegar = % vinegar/mL

8% .08

13% .13

total %

Now we also know that the total he wants to make is 380 mL that is 12%, so all that info goes into the last row:

mL total * % vinegar = % vinegar/mL

8% .08

13% .13

total % 380 .12

If he wants this total mixture to come from the 8% and the 13% vinegars, he is mixing them together, or adding them. We need to know how much 8% + how much 13% will give us 380 mL of 12%. So we can fill in the amounts accordingly. If he has x mL of 8%, then he will have 380 - x of 13%. The table tells us that we are multiplying the first 2 columns to get the third, so we will do that at the same time:

mL total * % vinegar = % vinegar/mL

8% x * .08 = .08x

13% 380 - x * .13 = .13(380 - x)

total % 380 * .12 = 45.6

Since we are adding the different vinegars together to get the total, we can do that with the last column as well. This is our equation:

.08x + .13(380 - x) = 45.6 Multiply everything through by 100 to get rid of the decimals now:

8x + 13(380 - x) = 4560 and

8x + 4940 - 13x = 4560 and

-5x = -380 so

x = 76

This means that there is 76 mL of 8% and 380 - 76 = 304 mL of 13%

8 0