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umka2103 [35]
2 years ago
9

chad is making an orange smoothie. the recipe call for 3 parts of frozen yogurt to 5 parts of orange juice. how many ounces of b

oth juice and yogurt dose he use he needed to get a total to get 16 ounces
Mathematics
1 answer:
Alona [7]2 years ago
3 0

Answer: it will be 6 ounces of frozen yogurt and 10 ounces of orange juice.

Step-by-step explanation:

3 parts frozen yogurt

5 parts orange juice For a total of 8 parts divided by 16 ounces = 2 Multiply 3 fy x 2= 6 ounces And multiply 5 oj x 2= 10 ounces

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The function ​f(x)​ is the total amount spent at a store, when purchasing x items that are $5 each and the items are not taxable
vagabundo [1.1K]

Answer:

B

Step-by-step explanation:

The domain is all possible values of x.  Here, x is the number of $5 nontaxable items.  So x must be an integer, and it can't be negative.  It is possible for x to be 0.  So x is all whole numbers.

4 0
3 years ago
The volume of a rectangular prism is 3,240 ft3. The prism is 9ft long and 12ft wide. How tall is the rectangular prism? Please h
Softa [21]
3.5*10^5
''''''''''''''''
5 0
3 years ago
Construct 3 linear equation starting with qiven solution z = 1/3
Andreyy89

Answer:

(a)9z+2=5

(b)21z-11=-4

(c)4z=2-2z

Step-by-step explanation:

We are required to construct 3 linear equations starting with the given solution z = 1/3.

<u>Equation 1</u>

<u />z=\frac{1}{3}<u />

Multiply both sides by 9

9z=\frac{1}{3}\times 9\\9z=3

Rewrite 3 as 5-2

9z=5-2

Add 2 to both sides

Our first equation is: 9z+2=5

<u>Equation 2</u>

<u />z=\frac{1}{3}<u />

Multiply both sides by 21

21z=\frac{1}{3}\times 21\\21z=7

Rewrite 7 as 11-4

21z=11-4

Subtract 11 from both sides

Our second equation is: 21z-11=-4

<u>Equation 3</u>

<u />z=\frac{1}{3}<u />

Multiply both sides by 6

6z=\frac{1}{3}\times 6\\6z=2

Rewrite 6z as 4z+2z

4z+2z=2

Subtract 2z from both sides

Our third equation is: 4z=2-2z

4 0
3 years ago
There are 15 red, 14 green, and 9 yellow balls in a dark room. What is the minimum number of balls that Alicia needs to take so
Tems11 [23]

Answer:

32

Step-by-step explanation:

1. If you take 12 balls, 9 could be yellow and 3 could be red. We want at least 12 of the same color, so 30 balls isn't a good minimum

2. If you take 30 balls, 9 could be yellow, 10 could be red and 11 could be green.  We want at least 12 of the same color, so 30 balls isn't a good minimum.

3. If you take 31 balls, 9 could be yellow, 11 could be red and 11 could be green.  We want at least 12 of the same color, so 31 balls isn't a good minimum.

4. If you take 32 balls, 9 could be yellow, 11 could be red and 12 could be green or 9 could be yellow, 12 could be red and 11 could be green or 7 could be yellow, 13 could be red and 12 could be green or 9 could be yellow, 11 could be red and 12 could be green.

We want at least 12 of the same color, and we have it from the different samples of the 4th trial.

So, 32 balls is the minimum number of balls

8 0
3 years ago
Solve the following system of liner equations:
nexus9112 [7]
First we get the value of y in terms of x

We have 2x + y + 9 = 0

We transpose 2x and 9 to the other side so we could get the value of y being:
y = - 2x - 9

Now that we have the value of y we can substitute it to the first equation
6x - 3y + 10 = 0
6x - 3 (-2x - 9) + 10 = 0
Simplifying the inside of the parentheses we would have
6x - (3)(-2x) - (3)(-9) + 10 =0
6x + 6x + 27 + 10 = 0

Combining similar terms we would get
12x + 37 = 0
We transpose 37 to the other side for easier simplification
12x = - 37
We divide both sides by 12 to get the value of x
12x/12 = - 37/12
Since 12/12 is equal to 1 our value of x would be
x = - 37/12
Or simply x = - 3.0833

Now that we know the value of x we can use it to obtain the value of y
y = - 2x - 9
y = - 2(-37/12) - 9
y = 37/6 - 9
y = - 17/6
Or in decimal y = - 2.8333

Final values of x and y would be
x = - 3.0833
y = - 2.8333
3 0
3 years ago
Read 2 more answers
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