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labwork [276]
2 years ago
12

Bob newds to mix 2 cups of orange juice concentrate with 3.5 cups of water to make orange juice.Bobvhas 6 cups of concentrate.Ho

w much orange juice can he make?
Mathematics
1 answer:
aivan3 [116]2 years ago
8 0
So, Bob needs 2 cups of concentrate (I'll use the variable c to shorten it) for every 3.5 cups of water (w). When he has 6 cups of c, he has three times the original recipe, and therefore we need 3w as well. 

3.5x2=6+1=7. So we need 7 cups of water.

Now, 6 cups of concentrate + 7 cups of water = 13 cups of orange juice.

Bob can make 13 cups of orange juice.

Hope I helped!
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The graph shows the increase in temperature over time in an oven. What is the change in the y-values and x-values on the graph?
iren2701 [21]

Answer:

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Step-by-step explanation:

graph is not provided

8 0
2 years ago
The population of Rock Springs is growing at a constant rate. The expression represents the increase in population in x years.
irakobra [83]

The function is given by

y=45,200 + 1,900x

and is of the form y = mx+b , where m is the rate of change and b is the fixed value ( or we can say initial value)

Now when we compare we get m = 1,900 for our problem .

So the population increases every year by 1,900.

3 0
2 years ago
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What is the pressure difference Δp=pinside−poutside? Use 1.28 kg/m3 for the density of air. Treat the air as an ideal fluid obey
Sidana [21]

This is an incomplete question, here is a complete question.

A hurricane wind blows across a 7.00 m × 12.0 m flat roof at a speed of 150 km/h.

What is the pressure difference Δp = p(inside)-p(outside)? Use 1.28 kg/m³ for the density of air. Treat the air as an ideal fluid obeying Bernoulli's equation.

Answer : The pressure difference will be, 1.11\times 10^3Pa

Step-by-step explanation :

As we are given:

Speed = 150 km/h = 41.66 m/s

Density = \rho=1.28kg/m^3

Area = A = 7.00 m × 12.0 m

Formula used :

\Delta P=\frac{1}{2}\times \rho \times v^2

Now put all the given values in this formula, we get:

\Delta P=\frac{1}{2}\times (1.28kg/m^3)\times (41.66m/s)^2

\Delta P=1.11\times 10^3Pa

Thus, the pressure difference will be, 1.11\times 10^3Pa

7 0
2 years ago
The height of a baseball thrown from the catcher to first base is modeled by the function h(t)=-0.08t^2+0.72t+6, where h is the
TiliK225 [7]
The answer would be c
5 0
1 year ago
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The first term of a finite geometric series is 6 and the last term is 4374. The sum of all the term os 6558. find the common rat
Oliga [24]

A geometric series is written as ar^n, where a is the first term of the series and r is the common ratio.

In other words, to compute the next term in the series you have to multiply the previous one by r.

Since we know that the first time is 6 (but we don't know the common ratio), the first terms are

6, 6r, 6r^2, 6r^3, 6r^4, 6r^5, \ldots.

Let's use the other information, since the last term is 4374 > 6, we know that r>1, otherwise the terms would be bigger and bigger.

The information about the sum tells us that

\displaystyle \sum_{i=0}^n 6r^i = 6\sum_{i=0}^n r^i = 6558

We have a formula to compute the sum of the powers of a certain variable, namely

\displaystyle \sum_{i=0}^n r^i = \cfrac{r^{n+1}-1}{r-1}

So, the equation becomes

6\cfrac{r^{n+1}-1}{r-1} = 6558

The only integer solution to this expression is n=6, r=3.

If you want to check the result, we have

6+6*3+6*3^2+6*3^3+6*3^4+6*3^5+6*3^6 = 6558

and the last term is

6*3^6 = 4374

7 0
2 years ago
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