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2 years ago

Somebody please help me. This makes zero sense.

Mathematics

1 answer:

earnstyle [38]2 years ago

6 0

Answer:

Step-by-step explanation:

rearrange it like an equation.

take everything else out of the middle apart from x.

make sure that what you do to the middle you do to both sides

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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

3 years ago

Mark and Julio are selling flower bulbs for a school fundraiser. Customers can buy bags of windflower bulbs and packages of croc

ikadub [295]

Answer:

Bag of windflower bulbs costs $8.50

Package of crocus bulbs costs $17.60

Step-by-step explanation:

Let $x be the price of one bag of windflower bulbs and $y be the price of one package of crocus bulbs.

1. Mark sold 2 bags of windflower bulbs for $2x and 5 packages of crocus bulbs for $5y. In total he earned $(2x+5y) that is $105. So,

2x+5y=105

2. Julio sold 9 bags of windflower bulbs for $9x and 5 packages of crocus bulbs for $5y. In total he earned $(9x+5y) that is $164.50. So,

9x+5y=164.50

3. You get the system of two equations:

$\left\{\begin{array}{l}2x+5y=105\\ \\9x+5y=164.50\end{array}\right.$

From the first equation

$5y=105-2x$

Substitute it into the second equation:

9x+105-2x=164.50

7x=164.50-105

7x=59.5

x=$8.50

So,

5y=105-2·8.5

5y=105-17

5y=88

y=$17.60

5 0

3 years ago

Find the height of a triangle with an area (A) of 35 square inches and base of 7 use the formula A= 1/2bh

slega [8]

Answer:

D. 10

Step-by-step explanation:

Since you divided by 2. You want to multiply to go back wards.

35×2=70

They already give you base(b=7) so to find the height you need to divide to go backwards since you multipled bh.

70÷7=10

now plug it in to see if the equation is right.

35= 1÷2 (7×10)

5 0

3 years ago

Which of the following statements about points are false?

vagabundo [1.1K]

Answer:

their sizes vary

Step-by-step explanation:

their sizes vary

4 0

3 years ago

Read 2 more answers

What's greater 3 fourths or 2 fourths

Len [333]

3 of anything positive is greater than 2 of the same thing.
I can't think of an exception.

7 0

3 years ago

Read 2 more answers