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m_a_m_a [10]
3 years ago
11

A recipe uses 2 cups of apple concentrate and 3.5 cups of water to make apple juice. If Marcus has 6 cups of apple concentrate,

how many cups of water is needed to make apple juice?
Mathematics
2 answers:
xeze [42]3 years ago
6 0
Answer: 21

explanation: because i said so
ZanzabumX [31]3 years ago
4 0

Answer:

21 cups.

Step-by-step explanation:

6x3.5c=21c

C=cups

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2.) If z varies inversely as r, and z= 24 when r = 6, find r when z= 12
Schach [20]

Step-by-step explanation:

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7 0
2 years ago
A lighthouse keeper has a 10 degrees angle of depression between the horizontal light beam and the line of sight from the ship.
Andrei [34K]
107.75m
This is a trigonometric ratio problem. the angle of depression (10) is opposite the height (19m) and the distance is adjacent to the distance (x). opposite ad adjacent sides to the angle is a tangent problem.
tan \theta = \frac{opp}{adj}
plus in values, we know.
tan (10) = \frac{19}{x}
switch tan(10) and x using the products property.
x = \frac{19}{tan (10)}
plug in to calulator to get answer
x=107.75

4 0
3 years ago
Solve for X<br><br> 8^3x-10 =4^6x-27<br><br> Thanks in advance!
dlinn [17]

8^{3x-10}=4^{6x-27}\\\\(2^3)^{3x-10}=(2^2)^{6x-27}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{3(3x-10)}=2^{2(6x-27)}\qquad\text{use distributive property}\\\\2^{(3)(3x)+(3)(-10)}=2^{(2)(6x)+(2)(-27)}\\\\2^{9x-30}=2^{12x-54}\iff9x-30=12x-54\qquad\text{add 30 to both sides}\\\\9x=12x-24\qquad\text{subtract 12x from both sides}\\\\-3x=-24\qquad\text{divide both sides by (-3)}\\\\\boxed{x=8}

6 0
3 years ago
Find the value of x.
sveticcg [70]

If 98 - 32 = 66,

then x = 66°

7 0
2 years ago
What is the rate of change in y with respect to x in the function x + 5y = 10?
rosijanka [135]

Answer:

-1/5

Step-by-step explanation:

let's put the function in slope intercept form (y = mx + b).

x + 5y = 10

y = - (1/5)x + 2

when the function is in slope intercept form, (m) is the rate of change or the slope.

therefore, the rate of change -1/5

7 0
2 years ago
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