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notka56 [123]
2 years ago
5

Paint costing $19 per gallon is to be mixed with thinner costing $3 per gallon. How much of each should be added to make 16 gall

ons of a mix that costs $14 per gallon?
Mathematics
1 answer:
Evgen [1.6K]2 years ago
4 0
Let x represent gallons of $19 paint
let y represent gallons of $3 paint

first you make your 2 equations

x+y=16, y=16-x
(19x+3y) ÷ 16 = 14

then you use substitution

14 = (19x + 3(16-x) ) ÷16
224 = 19x + 48 - 3x
176 = 16x
11 = x, so there's 11 gallons of $19 paint
recall that x+y=16
11+y=16
5=y

so there are 11 gallons of $19 paint and 5 gallons of $3 paint


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In a cash drawer there is $125 in $5 and $10 bills. The number of $10 bills is twice the number of $5 bills. How many of each ty
WINSTONCH [101]

Let us take number of $5 bills = x and

                   number of $10 bills  = y.

Give that "number of $10 bills is twice the number of $5 bills".

So, y is twice of x,

We can setup an equation.

y= 2x                      ............................... equation(1)

Total value of all bills = $125.

We can setup another equation,

5*(number of $5 bills) + 10*(number of $10 bills) =125.

5(x) +10(y) = 125                         ................................... equation(2)

Plugging y=2x in equation(2), we get

5(x) +10(2x) = 125   .

5x+20x = 125.

Adding like terms

25x = 125

Dividing both sides by 25.

25x /25 = 125/25

x= 5.

Plugging x=5 in first equation, we get

y= 2(5) = 10.

Therefore, number of number of $5 bills=5 bills  and number of $10 bills = 10 bills.


5 0
2 years ago
A 3^{\text{rd}}3 rd 3, start superscript, start text, r, d, end text, end superscript degree binomial with a constant term of 88
LiRa [457]

Answer:

See explanation

Step-by-step explanation:

A 3rd degree binomial with a constant term of 8

A binomial expression is an expression which has only terms such as: x² + 5

The degree of a polynomial is the term with the highest exponent on its variable.

Example: the expression above x² + 5

The exponent of variable, x is 2

So, it is a 2nd degree polynomial

We also have 1st degree polynomial where the highest exponent on the variable is 1

3rd degree polynomial where the highest exponent on the variable is 3

A 3rd degree binomial with a constant term of 8

1. There must be a variable, let say x

2. The highest exponent on the variable must be 3

3. There must be a constant 8

4. The expression must have two terms only

It could be x² + 8 where the coefficient of x is 1

2x² + 8

3x² + 8

It could take any form as long as the highest exponent on the variable is 3 and there are just two terms

7 0
2 years ago
30 POINTS! Explain how you found the equation that represents Aunt Andrea’s decorating plans from the table.
ch4aika [34]

Answer:   The number of balloons varies directly with the number of tables. The two variables are directly proportional. The relationship of balloons to tables is the ratio 5:1, where 5 is the constant of variation. Use the equation y = kx, where k is the constant of variation resulting in the equation y = 5x.

Hope i helped

5 0
2 years ago
Read 2 more answers
How do i write 12.009 in a word form?
tia_tia [17]
Your answer will be twelve and nine thousandths because in place value decimals are like tenths, hundredths, thousandths. In place value for regular numbers are ones, tens, hundreds and so on. So, when you have 12.009, you are going to separate the decimals with the numbers. Then, write down the number in words which would be twelve. Now, go to the decimal and write that down, which is 9 thousandths. Finally, combine the both of them to get: twelve and nine thousandths.

Hope this helps :) 
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5 0
2 years ago
Consider that 1 inch = 2.54 centimeters. Which three statements are true for converting 18 feet to centimeters?
serg [7]

Answer:

There are 548.64 cm in 18 feet.

Step-by-step explanation:

We know that, 1 inch = 2.54 centimeters.

We need to convert 18 feet to centimeters

Also, 1 foot = 12 inch

Firstly we will convert 18 feet to inch.

18 feet = 12 × 18 inch

= 216 inch

Now to convert 18 feet to centimeters, multiply 216 inch by 2.54 cm as follows :

216 inch = 2.54×216 centimeters

= 548.64 cm

Hence, there are 548.64 cm in 18 feet.

4 0
2 years ago
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