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Andreyy89
3 years ago
9

Solve the system of equations 3y + 2z = 12 and y – z= 9. 

Mathematics
1 answer:
dangina [55]3 years ago
3 0
\left\{\begin{array}{ccc}3y+2z=12\\y-z=9&|multiply\ both\ sides\ by\ 2\end{array}\right\\\underline{+\left\{\begin{array}{ccc}3y+2z=12\\2y-2z=18\end{array}\right}\\.\ \ \ \ 5y=30\ \ \ |divide\ both\ sides\ by\ 5\\.\ \ \ \ y=6\\\\subtitute\ the\ value\ of\ y\ to\ the\ equation\ y-z=9\\\\6-z=9\ \ \ |subtract\ 6\ from\ both\ sides\\-z=3\ \ \ |change\ signs\\z=-3\\\\Answer:\left\{\begin{array}{ccc}y=6\\z=-3\end{array}\right
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Ronald needs a morning breakfast drink that will give him at least 390 calories. Orange juice has 130 calories in 8oz. How many
Nitella [24]

Answer:

24 ounces of orange juice

Step-by-step explanation:

Given-

          Calories needed=390 calories

    Calories in 8oz juice=130 calorie

Therefore ounces of juice=(390/130)8

                                          =3 x 8

                                          =24 ounces

5 0
3 years ago
Robert's mother pours a cup of milk for him and then realizes that the cup has a small crack in the rim. Not wanting her son to
S_A_V [24]

Answer:

7 years old

Step-by-step explanation:

Robert's mother pours a cup of milk for him and realizes that cup has a small crack so she pour the milk into another cup. Robert is not upset because he knows that the amount of milk has remained same.

As Robert is 7 year old . He can groups the milk in the cup according to size , shape and color. He has a better understanding of numbers and can understand problems easily.

3 0
3 years ago
What is the measure of EDH?<br> 10°<br> 40°<br> 50°<br> 90°
Katyanochek1 [597]

In this exercise, we need to find the angle ∠EDH, that is, according to the figure above, this angle is:


∠EDH = (5x)°


So, our goal is to find the value of x. By taking a look in the figure above, this equation is true:

(5x)° + (4x)° = 90°


Therefore:

(9x)° = 90° ∴ x = 10


So:

∠EDH = (5x)° ∴ ∠EDH = [(5)(10)]° ∴ ∠EDH = 50°


Finally, the right answer is 50°

4 0
3 years ago
Read 2 more answers
the number of cakes baked varies directly with the number of hours the caterers work. What is the ratio of cakes baked to hours
aniked [119]

The required ratio of cakes baked to hours worked = 30: 1

<u>Concept:</u>

We know that a ratio is a term in mathematics that signifies how many times one value contains the other.

<u>Given:</u> The number of cakes baked varies directly with the number of hours the caterers work.

<u>Explanation:</u>

From the given graph, it can observe that,

30 cakes are made in 1 hour. ( When we draw a vertical line from <em>x </em>= 1 to the curve, we get <em>y</em>=30 i.e. point is ( 1,30).

The required ratio of cakes baked to hours worked = 30: 1

Learn more:

brainly.com/question/24728840

5 0
3 years ago
Carolyn and Joyce ordered a large pizza that had 12 slices. Carolyn ate 1
kondor19780726 [428]

Answer:

They ate \frac{1}{3} of the pizza

Step-by-step explanation:

Carolyn and Joyce at 4 slices of pizza altogether, and since there are 12 slices of pizza, they ate \frac{4}{12}=\frac{1}{3} of the pizza.

5 0
2 years ago
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