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Lady_Fox [76]
3 years ago
15

Kira is trying to drink more water and juice each day. The difference in the amount of water in a jug and the amount of juice in

the bottle she is drinking from is 192 ounces. She has consumed a total of 42 ounces, which is of the bottle of juice and of the jug of water. Which system of equations can be used to determine the total number of ounces in the jug of water, x, and the total number of ounces in the bottle of juice, y?
Mathematics
1 answer:
Lelu [443]3 years ago
4 0

Answer:

The Complete Question is:

Kira is trying to drink more water and juice each day. The difference in the amount of water in a jug and the amount of juice in the bottle she is drinking from is 192 ounces. She has consumed a total of 42 ounces, which is 3/32 of the bottle of juice and 9/62 of the jug of water. Which system of equations can be used to determine the total number of ounces in the jug of water, x, and the total number of ounces in the bottle of juice, y?

Solution:

Total number of ounces in the jug of water = x

Total number of ounces in the bottle of juice = y

The difference in amount of water and the juice is 192 ounces. So we can write the equation as:

Kira consumed 42 ounces. This amount is 3/32 of the bottle of juice and 9/62 of the jug of water. So we can set up the equation as:

Using the above two equations we can determine the total number of ounces in the jug of water and the total number of ounces in the bottle of juice.

Read more on Brainly.com - brainly.com/question/9387606#readmore

4 years later

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pretty much about the same as before.

a = weight of a large box

b = weight of a small box.

we know their combined weight is 65 lbs, thus a + b = 65.

we also know that the truck has 60 large ones, and 55 small ones, thus 60*a is the total weight for the large ones and 55*b is the total weight for the small ones, and we know that is a total of 3775, 60a + 55b = 3775.

\bf \begin{cases} a+b=65\\ \boxed{b}=65-a\\ \cline{1-1} 60a+55b=3775 \end{cases}\qquad \qquad \stackrel{\textit{substituting on the 2nd equation}}{60a+55\left( \boxed{65-a} \right)=3775} \\\\\\ 60a+3575-55a=3775\implies 5a+3575=3775\implies 5a=200 \\\\\\ a=\cfrac{200}{5}\implies \blacktriangleright a = 40 \blacktriangleleft \\\\\\ \stackrel{\textit{since we know that}}{b=65-a\implies }b=65-40\implies \blacktriangleright b=25\blacktriangleleft

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3 years ago
What Is The Probability That The Spinner Will Land On Either Yellow (Y) Or Green (G)?
Sholpan [36]
2/3.
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A box contains 35 coins either nickels or dimes all worth $2.90. How many dimes are in the box?
tino4ka555 [31]

Answer:

There are 23 dimes in the box

Step-by-step explanation:

Let nickels=n

Let dimes=(35-n)

Equation: 0.05n+0.10(35-n)=2.90

Multiply both sides by 100: 5n+10(35-n)=290

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2 years ago
A rectangle has length 72 cm and width 56 cm. The other rectangle has the same area as this one, but its width is 21 cm. What is
Ira Lisetskai [31]

The length of the rectangle is = 72 cm

The width of the rectangle is = 56 cm

Area of the rectangle is = length*width

= 72\times56=4032 cm²

As given, the other rectangle has the same area as this one, but its width is 21 cm.

Let the length here be = x

4032=x*21

x=\frac{4032}{21}=192

Hence, length is 192 cm.

We can see that as width decreases, the length increases if area is constant and when length decreases then width increases if area is constant.

So, in the new rectangle,constant of variation=k is given by,

\frac{192}{72}=\frac{8}{3} or \frac{56}{21}=\frac{8}{3}

Hence, the constant of variation is \frac{8}{3}

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I would help but I cannot read it.

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