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Kisachek [45]
2 years ago
8

Solve for x. I don't know how to do this. Please help.

Mathematics
1 answer:
kompoz [17]2 years ago
7 0
X=15

EXPLANATION:

5x+4+5x+11+x=180

11x+15=180
-15 -15

11x=165
— ——
11 11

x=15
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How many liters of a 40% sugar solution must be mixed with 30 liters of a 60% sugar solution to make a 56 % sugar solution?
konstantin123 [22]

Answer:

7.5 liters of a 40% sugar solution

Step-by-step explanation:

Let

x ----> liters of a 40% sugar solution

Remember that

40\%=40/100=0.40\\60\%=60/100=0.60\\56\%=56/100=0.56

we know that

The amount of liters of a 40% sugar solution (x) multiplied by 0.40 plus the amount of liters of a 60% sugar solution (30 L) multiplied by 0.60 must be equal to the total amount of liters mixed (x+30) multiplied by 0.56

0.40x+0.60(30)=0.56(x+30)

solve for x

0.40x+18=0.56x+16.8\\0.56x-0.40x=18-16.8\\0.16x=1.2\\x=7.5\ L

5 0
3 years ago
Read 2 more answers
A rectangular yard is X feet wide. The yard is 4 feet longer than it is wide. The perimeter P of yard is given by the equation P
vladimir2022 [97]

Given:

Width of the rectangular yard = x feet

Length of the rectangular yard = x+4 feet

Perimeter of the rectangular yard is:

P=4x+8

Perimeter of the yard = 84 feet

To find:

The length of the rectangular yard.

Solution:

Perimeter of the yard is 84 feet.

4x+8=84

4x=84-8

4x=76

Divide both sides by 4.

x=\dfrac{76}{4}

x=19

So, the width of the rectangular yard is 19 feet.

Length = 19+4

Length = 23

The length of the rectangular field is 23 feet.

Therefore, the correct option is B.

6 0
3 years ago
Put the equation y = x^2 + 26 x + 160 into the form y = ( x − h )^2 + k :
KATRIN_1 [288]

Put the equation y = x^2 + 26 x + 160 into the form y = ( x − h )^2 + k

Given equation is y = x^2 + 26 x + 160

We apply completing the square method

we take coefficient of middle term and then divide by 2  and then square it

coefficient of middle term is 26

Divide by 2, it becomes 13

then we square it (13)^2 = 169

Add and subtract 169

y = x^2 + 26 x +169 - 169 + 160

y = x^2 + 26 x +169 - 9

y = (x + 13)^2 - 9

We got the equation in vertex form

6 0
3 years ago
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A class of 40 students visits a farm they tour the farm in group of 5 how many groups of 5 can they make?
german

Answer:

8

Step-by-step explanation:

40 grouped into 5 = 40/5 = 8

5 0
3 years ago
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What fraction of the dunk tanks require at least 500 gallons of water? Write the fraction in simplest form.
Cerrena [4.2K]

Answer:

1/2

Step-by-step explanation:

Based on the information observed from the attached box and whisker plot, the Fraction of dunk tanks which requires atleast 500 gallons of water. This fractional value will be the property of plot in the position marked as 500 on the plot. The point which refers to 500 gallons on the plot is the ticked point in between the box. This point represents the median value in a box and whisker plot.

The median value represents the 50th percentile value which relates to half of the distribution. This means that fraction of dunk which requires atleast 500 gallons is : (50/100) = 1/2

7 0
3 years ago
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