Jeremy ran 1500 meters in 4 minutes, 45 seconds. How fast did he run in meters per second?

A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 7 vinegar, and the second brand con

SOVA2 [1]

Answer:

78 ml of 7% vinegar and 312 ml of 12% vinegar.

Step-by-step explanation:

Let x represent ml of 7% vinegar brand and y represent ml of 12% vinegar brand.

We have been given that chef wants to make 390 milliliters of the dressing. We can represent this information in an equation as:

$x+y=390...(1)$

$y=390-x...(1)$

We are also told that 1st brand 7% vinegar, so amount of vinegar in x ml would be $0.07x$ .

The second brand contains 12 vinegar, so amount of vinegar in y ml would be $0.12y$ .

We are also told that the chef wants to make 390 milliliters of a dressing that is 11% vinegar. We can represent this information in an equation as:

$0.07x+0.12y=390(0.11)...(2)$

Upon substituting equation (1) in equation (2), we will get:

$0.07x+0.12(390-x)=390(0.11)$

$0.07x+46.8-0.12x=42.9$

$-0.05x+46.8=42.9$

$-0.05x+46.8-46.8=42.9-46.8$

$-0.05x=-3.9$

$\frac{-0.05x}{-0.05}=\frac{-3.9}{-0.05}$

$x=78$

Therefore, the chef should use 78 ml of the brand that contains 7% vinegar.

Upon substituting $x=78$ in equation (1), we will get:

$y=390-78$

$y=312$

Therefore, the chef should use 312 ml of the brand that contains 12% vinegar.

4 0

3 years ago

Two numbers are each a distance of 3 units away from another number. The other number is 5. Write an absolute value equation to

avanturin [10]

Answer:

I

Step-by-step explanation:

I am not sure but I will tell if u would like me to say

6 0

3 years ago

If 2/5 kilograms of soil fit into 1/3 of a container, can 1 kilogram fit in the container??

Elodia [21]

In this problem the amount of kilograms you want to fit ( lets call it x ) has a direct variation with the amount of kg of soil it can fit in ( lets cal it y )

If 2/5x = 1/3y
Now we just need to isolate x or y to discover the proportion that relates them :

You can isolate x by multiplying both sides of the equation by 5/2
2/5x(5/2) = 1/3y(5/2)
x = 5/6 y
So what that means is that 1 kg of soil takes 5/6 of the container!
Awnser : Yes it can !

I hope you understood my brief explanation. And please consider marking this awnser as Branliest. Thank you ! :)

8 0

3 years ago

Read 2 more answers

6 pounds and 11 ounces multiplied by 8

qaws [65]

Answer:

53.5

Step-by-step explanation:

(6 Pounds and 11 ounces)*8

11 ounces = 0.6875 pounds

(6 pounds + 0.6875 pounds)*8

53.5 pounds in total