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3 years ago

What is the value of x the in the figure below? In this diagram, ABD~CAD

Mathematics

1 answer:

AURORKA [14]3 years ago

8 0

Answer:

F. 45/4

Step-by-step explanation:

hypotenuse/long leg of both triangles:

15/20=x/15
x=15*15/20
x=45/4

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A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 12%

Hitman42 [59]

Answer:

Amount of vinegar. 100% : 20 milliliters

Amount of Italian dressing: 140 milliliters

Step-by-step explanation:

Let's call A the amount of vinegar. 100%

Let's call B the amount of Italian dressing . 12% vinegar

The resulting mixture should have 23% vinegar, and 160 milliliters.

Then we know that the total amount of mixture will be:

$A + B = 160$

Then the total amount of pure antifreeze in the mixture will be:

$A + 0.12B = 0.23 * 160$

$A + 0.12B = 36.8$

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -1 and add it to the second equation:

$-A -B = -160$

$A + 0.12B = 36.8$

--------------------------------------

$-0.88B = -123.2$

$B = \frac{-123.2}{-0.88}$

$B = 140\ milliliters$

We substitute the value of B into one of the two equations and solve for A.

$A + 140 = 160$

$A = 20\ milliliters$

7 0

3 years ago

If 3 hamburgers cost $4.20, then how much does 1 hamburger cost?

lisov135 [29]

Answer:

$1.40

Step-by-step explanation:

Divide 4.20 by 3.

4 0

3 years ago

Read 2 more answers

Brooke has scores of 84, 72, 90, 95, and 87 on her first five quizzes. After taking the sixth quiz, Brooke’s mean score increase

nexus9112 [7]

86, 90, and 92

Explanation:add all numbers together and divide it by the amount of numbers there are (5) and it comes out with 85.6 so it has to be higher since it increased

6 0

2 years ago

How do I use multiplication to convert 4 and 5/6 into an improper fraction?

Pepsi [2]

Answer:

4 5/6

4×5=20+6=

26/6

26÷2=13

6÷2=3

3 0

3 years ago

Read 2 more answers

a recipe of cookies uses 220 g of butter and 110 g of caster sugar and 275 grams of flour what is the ratio of sugar to flour to

andre [41]

Answer: 22 to 55 to 44

Step-by-step explanation: Start with the factors you know. It can't be two because 2 doesn't go into 275 evenly. It can't be three because all of them evenly don't go into three. It can't be four because 110 and 275 don't go into it evenly. But five works. 110/ 5 is 22, 275/ 5 is 55, and 220/ 5 is 44.

7 0

3 years ago