1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pickupchik [31]
2 years ago
10

Elena mixes 5 cups of apple juice with 2 cups of sparkling water to make sparkling apple juice for a party she wants to make 35

cups of sparkling apple juice. how much of each ingredient should Elena use?
Mathematics
1 answer:
Stolb23 [73]2 years ago
3 0

Answer: 25 cups of apple juice and 10 cups of splarking water.


Step-by-step explanation:

1. You have the following information given in the problem:

- She mixes 5 cups of apple juice with 2 cups of sparklin.

- She wants to make 35 cups of sparkling apple juice.

2. Then:

5cups+2cups=7cups (Each lot of sparkling apple juice has 7 cups).

3. As she needs 35 cups, she needs to make 5 lots of sparkling apple juice, because:

\frac{35}{7}=5lots

4. Therefore, you must multiply 5 lots by 5 cups of apple juice and 5 lots by 2 cups of sparkling apple juice. Then, she should use:

A.juice=5*5cups=25cups\\S.water=5*2cups=10cups

5. The answer is:

25 cups of apple juice and 10 cups of splarking water.

You might be interested in
Some electronic devices are better used than new: the failure rate is higher when they are new than when they are six months old
Reptile [31]
Given that half of the personal music players sold by a particular brand have a flaw. If the player has the​ flaw, it dies in the first six months. If it does not have this​ flaw, then only 20​% fail in the first six months.
Let A be the event that it fails in I 6 months
B1 = it has a flaw
B2 = it does not have a flaw
B1 and B2 are mutually exclusive and exhaustive
the chances that it has this​ flaw
=The probability that it has the flaw is

7 0
2 years ago
Wich expression can be written as 9x(12+7)
DENIUS [597]
9x(12+7)
distribute the 9x
108x+63

3 0
3 years ago
Read 2 more answers
Could you please help me for this question?
Olin [163]

Answer:

  See attached for graphs

  g(x) -- domain: -∞ < x < ∞; range: 0 < y < ∞

  g^-1(x) -- domain: 0 < x < ∞; range: -∞ < y < ∞

Step-by-step explanation:

g(x) is an exponential decay function. Its base is 1/3, so each increase of 1 unit in x will multiply the y-value by a factor of 1/3. The graph will rapidly approach its horizontal asymptote of y=0 as x gets large. The y-intercept is (0, 1). Just as y gets smaller as x increases, so it gets larger as x decreases. Each decrease of x by 1 unit causes the y-value to be multiplied by 3.

__

The graph of g^-1(x) is the graph of g(x) reflected across the line y=x. That is, each coordinate pair (x, y) on the graph of g(x) becomes a point (y, x) on the graph of the inverse function. In order to graph g^-1(x), you don't need to write down the function, you only need to know the relationship between the graphs.

Just as x- and y- are interchanged on the graph, so the domain, range, and intercepts are interchanged. g^-1(x) will have a vertical asymptote of x=0, and an x-intercept of (1, 0). The domain of g^-1(x) is the range of g(x): 0 < x < ∞; and the range of g^-1(x) is the domain of g(x): -∞ < y < ∞.

__

The attached graph shows g(x) in red and g^-1(x) in blue. As you can see, we created the graph simply by interchanging x and y. The line y=x is shown for reference, so you can see that each curve is a reflection of the other across that line.

_____

<em>Additional comment</em>

The explicit expression for g^-1(x) can be found by solving for y:

  x = g(y)

  x=\left(\dfrac{1}{3}\right)^y=\dfrac{1}{3^y}=3^{-y}\\\\ \log(x)=-y\cdot\log(3)\qquad\text{take logarithms}\\\\y=-\dfrac{\log{x}}{\log{3}}=-\log_3{x}\qquad\text{use the change of base relation}\\\\\boxed{g^{-1}(x)=-\log_3{x}}

If you're familiar with the log function, you know it has an x-intercept of 1 and a vertical asymptote at x=0. The base of the log function is simply a vertical scale factor. The minus sign reflects it across the x-axis.

6 0
2 years ago
If i have 1500 dollars and are left with 65.06 dollars how much money did i spend
Novay_Z [31]
$1500 - $65.06 = $1434.94
Hope I helped!
~ Zoe
6 0
2 years ago
Read 2 more answers
a gym membership is advertised to cost 630 per year . what is the cost per mouth of the gym menbership
kicyunya [14]

Answer:

52 1/2 OR 52.5

Step-by-step explanation:

You divide 630 by the number of months in a year, 12. 630 / 12 = 52.5. So the answer is 52.5 (Dollars, cents, whatever money label it is).

Hope that helps!

5 0
2 years ago
Other questions:
  • Write an equation for the translation of y = |x|. 15.5 units down
    5·2 answers
  • Can you solve this question plz
    8·2 answers
  • Find the measure of angle x in the figure below: <br> 65°<br> 70°<br> 110°<br> 125°
    9·2 answers
  • In the figure below angle y and angle x form vertical angles.Angle y forms a straight line with 60° angle and 70° angle right an
    11·1 answer
  • Find the measure of a dilated image of segment CD, 5 units long, with a scale factor of 4?
    15·1 answer
  • Please simplify the answer!
    7·1 answer
  • Can someone help me please​
    13·1 answer
  • Davon has only red tulips and white tulips in his garden. Three-fourths of his tulips are white. What is the
    9·1 answer
  • A cell phone plan costs $200 to start. Then there is a $50 charge each month
    12·1 answer
  • GEOMETRY Find the diameter d of the circle in the figure at the right. Round to the nearest tenth if necessary.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!