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EastWind [94]
3 years ago
13

how many gallons of a 70% antifreeze solution must be mixed with 90gallons of 15% antifreeze to get a mixture that is 60% antifr

eeze use the six step method
Mathematics
1 answer:
Alisiya [41]3 years ago
5 0

Here is your answer

Add 315 gallons of 70% antifreeze to 90 gallons of 25% antifreeze to make a 60% mixture.

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A rectangular piece of metal is 15 in longer than it is wide. Squares with sides 3 in long are cut from the four corners and the
ziro4ka [17]

Answer:

The original dimensions of the piece of metal are

Length: 36 inches

Width: 21 inches

Step-by-step explanation:

Let

x ----> the original length pf the piece of metal

y ----> the original width pf the piece of metal

we know that

x=y+15 ----> equation A

The volume of the box is equal to

V=LWH

we have

V=1,350\ in^3

L=(x-3-3)=(x-6)\ in\\W=(y-3-3)=(y-6)\ in

H=3\ in

substitute in the formula of volume

1,350=(x-6)(y-6)(3) ----> equation B

substitute equation A in equation B

1,350=(y+15-6)(y-6)(3)

solve for y

450=(y+9)(y-6)

y^2-6y+9y-54=450\\y^2+3y-504=0

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=21

Find the value of x

x=21+15=36

therefore

The original dimensions of the piece of metal are

Length: 36 inches

Width: 21 inches

5 0
3 years ago
If the point (x, y) is on the y-axis, which of the following must be true? A). x=0 B). y=0
Musya8 [376]

Answer:

X = 0

Step-by-step explanation:

3 0
3 years ago
the local Swim Center is making a special offer they regular charge is $7 per day to swim at the pool the special offer would ha
algol [13]
To fill in the first column = 
Every day is 7 dollars, which you have already answered.
The second one would be = 
day 0 = 30 dollars. And then it would be 4$ for days 1 through 10.
Hope this helps!
8 0
3 years ago
PLEASE HELP ME!! I can’t figure this out
DochEvi [55]
Hello!

The problem has asked that we write a point-slope equation of the line in the image above. Point-Slope Form uses the following formula:

y – y_{1} = m(x – x_{1})

In this case, M represents the slope while X_{1} and Y_{1} represent the corresponding X and Y values of any given point on the line.

We are given that the slope of the line is -\frac{5}{7}. We also know that any given point on a graph takes the form (x,y). Based on the single point provided in the image above, we can determine that X_{1} is equal to 6 and Y_{1} is equal to 2. Now insert all known values into the point-slope formula above:

y – 2 = -\frac{5}{7}(x – 6)

We have now successfully created an equation based on the information given in the problem above. Looking at the four possible options, we can now come to the conclusion that the answer is C.

I hope this helps!

7 0
3 years ago
Is the ordered pair (-2,-2) a solution to th fiction y= 3x-8
Tema [17]

Answer:-24

Step-by-step explanation:

You multiply your numbers without the - or the +

You check ehich number is bigger and you use it symbol for the answer

Example: 3x8= 24

-8 is bigger than 3 so you use it symbol

= -24

7 0
3 years ago
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