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3 years ago

A chef plans to mix 100% vinegar with Italian dressing, The Italian dressing contains 8% Vinegar,

Mathematics

1 answer:

kolezko [41]3 years ago

3 0

Answer:

15 mL of 100% vinegar
45 mL of Italian dressing

Step-by-step explanation:

Let v represent the amount of 100% vinegar to be included in the mixture. Then the amount of vinegar in the overall mixture is ...

1.00v + 0.08(60 -v) = 0.31(60)

0.92v = 60(0.23) . . . . . . . collect terms, subtract .08(60)

v = 60(0.23/0.92) = 15 . . . mL of vinegar

60 -v = 45 . . . mL of dressing

15 mL of vinegar and 45 mL of Italian dressing should be used.

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Write the verbal sentence as an equation:

-Dominant- [34]

Answer:

2n-12=7n-15

Step-by-step explanation:

I hope i did it right im sorry if i didnt! in the first sentence it tells you "twelve less than" therefore its telling you that you are going to be subtracting which automatically means that its not going to be the first thing you write down. You then continue reading and it tells you "2 times a number (n)" which is written as 2n because to things side by side like that signifies that you are multiplying. Then you have your equal sign which is self explanatory. and basically you follow the same reasoning as you did the first part and you end up with 7n-15 and the other half of your equation. I hope that helped!

4 0

3 years ago

What is 37 years converted into hours?

natta225 [31]

There are 24 hrs in a day, and there are 365 days in an year

first step: multiply years with days

37 x 365 = 13505 days in all

second step: multiply days with hrs

13505 x 24 = 324120 hrs

your total is 324120 hrs

hope this helps

6 0

3 years ago

Read 2 more answers

Which shows the graph of the solution set of x + 2y > 4?

nata0808 [166]

we have

$x+2y > 4$

The solution is the shaded area above the dotted line

therefore

The answer in the attached figure

7 0

3 years ago

Read 2 more answers

Mary buys 8 widgets for $40.00 she adds $1.00 in enhancements to each widget and sells them for $9.00 each. What is Mary's estim

Maslowich

The gross profit margin is calculated using the following rule:
gross profit margin = total profit / total sales

Now, we need to get the values of total profit and total sale:
total profit = <span>9*8-(40+8)=24$
total sales = 9*8 = 72$

Now, we will substitute in the above equation:
gross profit margin = 24/72 = 1/3 = 0.3333334
% = 0.33333334*100 = 33.3334%</span>

5 0

3 years ago

The given line passes through the points and (-4, -3) and (4, 1).

Debora [2.8K]

Answer:

The equation of the line is y - 3 = -2(x + 4)

Step-by-step explanation:

* Lets explain how to solve the problem

- The slope of the line which passes through the points (x1 , y1) and

(x2 , y2) is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

- The product of the slopes of the perpendicular lines = -1

- That means if the slope of a line is m then the slope of the

perpendicular line to this line is -1/m

- The point-slope of the equation is $y - y_{1}=m(x - x_{1})$

* lets solve the problem

∵ A given line passes through points (-4 , -3) and (4 , 1)

∴ x1 = -4 , x2 = 4 and y1 = -3 , y2 = 1

∴ The slope of the line $m=\frac{1-(-3)}{4-(-4)}=\frac{1+3}{4+4}=\frac{4}{8}=\frac{1}{2}$

- The slope of the line perpendicular to this line is -1/m

∵ m = 1/2

∴ The slope of the perpendicular line is -2

- Lets find the equation of the line whose slope is -2 and passes

through point (-4 , 3)

∵ x1 = -4 , y1 = 3

∵ m = -2

∵ y - y1 = m(x - x1)

∴ y - 3 = -2(x - (-4))

∴ y - 3 = -2(x + 4)

* The equation of the line is y - 3 = -2(x + 4)

4 0

3 years ago