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dem82 [27]
3 years ago
14

1.2.71

Mathematics
1 answer:
egoroff_w [7]3 years ago
6 0

Answer:

Step-by-step explanation:

Set up an equation, where x is the number of gallons of 60% antifreeze solution.

Represent the percentages of antifreeze with decimal values.

0.6x + 0.3(80) = 0.5(x + 80)

Simplify and solve for x:

0.6x + 24 = 0.5x + 40

0.1x = 16

x = 160

So, you have to mix 160 gallons of a 60% antifreeze solution

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the length of a rectangle is 3cm more than the width. find the length and the width if the perimeter of the rectangle is 98cm.
laila [671]

The perimeter of a rectangle is <u>length + length + width + width</u>.

We know that the length of a rectangle is 3cm more than its width, which gives us the equation:  (l for length and w for width)

l = 3 + w

We also know that the perimeter of the rectangle is 98cm, which gives us the equation:

98 = 2l + 2w         (equation for perimeter of a rectangle as noted above)

We can divide both sides of this equation by 2 to get:

49 = l + w

Now we'll stick l = 3 + w into the above equation, which gives us:

49 = 3 + w + w

which simplifies to 49 = 3 + 2w.

Now we'll subtract 3 from both sides:

49 - 3 = 46

3 + 2w - 3 = 2w

which gives us 46 = 2w.

Dividing both sides by 2 gives us 23 = w.

Substituting w = 23 into the equation l = 3 + w gives us:

l = 3 + 23

l = 26cm.

Let's check our answer.  26cm is 3cm more than 23cm.  26cm + 26cm + 23cm + 23cm gives us 98cm.  The length is 26cm and the width is 23cm.


7 0
3 years ago
Keisha has $20.08 in her purse. She buys a book for $8.72 . How much does she have left?
torisob [31]
Simply subtract 8.72 from 20.08 and you get the answer which is 11.36$
7 0
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Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ
I am Lyosha [343]

Answer:

|x   y   1|

|7  -3   1| = 0

|4  -8   1|

x*(-3*1 - (-8)*1) - y*(7*1 - 4*1) + 1*(7*-8 - 4*-3) = 0

5x - 3y - 44 = 0

Step-by-step explanation:

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2 years ago
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sladkih [1.3K]
Hi !
the answer is 5y+4

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6 0
3 years ago
A train has 6 identical passenger cars that are each 18 m long.
Gnesinka [82]

Answer:

59m

Step-by-step explanation:

No of passenger cars in the train = 6

length of each passenger cars = 18m

total length of 6 passenger cars = 18 * 6 = 108 m

length of caboose = 10m

total length of train when caboose is included = 108 m + 10 m = 118m

_____________________________________________

Let the length of truck be X m

given that length of train is twice of length of truck = 2*X

but length of train as found above is 118 m

this implies

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X = 118/2 = 59m

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