In order to make a specific shade of green paint, a painter mixes 1/2
of a gallon of blue paint with 4/5
of a gallon of yellow paint.

How many gallons of each color are needed to make 26 total gallons of this color?

Answers

Answer 1

10 gallons of blue paint was mixed with 16 gallons of yellow paint to make 26 total gallons.

Let x represent the total amount of paint.

(1/2)x + (4/5)x = 26

1.3x = 26

x = 20

Therefore:

Amount of blue paint = (1/2)x = (1/2)*20 = 10 gallons

Amount of yellow paint = (4/5)x = (4/5)*20 = 16 gallons

10 gallons of blue paint was mixed with 16 gallons of yellow paint to make 26 total gallons.

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Related Questions

The expression below represents the perimeter of a square in centimeters.

4(6+2.5)
What is the square's perimeter?

Answers

Answer:

34

Step-by-step explanation:

4(8.5) = 34

Please help me please please please

Answers

Answer:

Perpendicular bisector

Step-by-step explanation:

The two team captains agree to eliminate the halftime interval but one of the players insists on a halftime interval. What decision should the referee make

Answers

What the judge should do is adhere strictly to the rules.

This is so because, in case of not abiding by the rules, the referee would be allowing the players to modify the sport at will, which would go against the stability of the game and the predictability of the rules.

Therefore, in case the captains want to modify the rules, in any case they should contact the governing association of the sport to request said modifications.

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The referee will have to allow halftime interval as a result of one of the

players wanting it.

Every sport has rules which guides the game to ensure fair play and  prevent

confusion from happening. Referee decisions are based on the rule of the

game but can also be negotiated.

In this scenario, if all the players wanted eliminate the halftime interval, it

could have been honored .But in this case, the referee has to follow the rules

of the game due to the other player disagreeing with the suggestion.

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If 2 inches are equivalent to 5 centimeters, how many square centimeters are in one square inch

Answers

Answer:

there are 6.45 or 6.5 square cm in one square inch

Step-by-step explanation:

Please quickly answer number 17&18 I will give brainliest

Answers

Answer: 17) 150°C 18) 17 minutes

Step-by-step explanation:

x represents time in minutes and y represents temperature in Celsius

17) y=10x+30

y=10(12)+30

y=120+30

y=150 - Therefore, the water temperature will be 150°C after 12 minutes

18) 200=10x+30

10x+30=200

10x+30-30=200-30

10x=170

x=17  - Therefore, the water temperature will reach 200°C after 17 minutes

In the diagram below, PQ and RS are parallel. Based on the angle measures in the diagram, what is the value of X?

Answers

Answer:

x would be equal to 70 grades

Step-by-step explanation:

The angle QRS is equal to 180 - 130 = 50 grades.

We add up that with the other 60 grades on the left, and we encounter ourselves with a simple equation:

60 + x + 50 = 180

x = 70

Hope this was helpful

What is th eslope of the graph if it has these coords?
(1,2) and (3,-1)

Answers

Answer = –3/2

Use rise/run to find the gradient, while finding the difference between the two points.

Equation of slope:
y2 - y1 / x2 - x1

-1-2 / 3-1

–3/ 2

Slope = –3/2
Ok done. Thank to me :>

Shameka buys a blue garden hose that is 16.5 feet long and a green garden hose that is 14.75 feet long. How many feet of garden hose does she buy?

Help please?​

Answers

Answer:

21.25 feet

Step-by-step explanation:

16.5 feet

+14.75

=21.25 feets

Add the two together and you get 31.25

point:(-5,1); slope: -
4
write in point-slope form:

Answers

Answer:

y-1=-4(x+5)

Step-by-step explanation:

y-y1=m(x-x1)

y-1=-4(x-(-5))

y-1=-4(x+5)

Answer: y - 1 = -4(x + 5)

Step-by-step explanation:

      The point-slope formula is y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex]) where m is the slope and ( [tex]x_1[/tex], [tex]y_1[/tex]) is a point on the graph.

      Using the formula, we will plug in our known values to write our equation.

y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex])

y - (1) = (-4)(x - (-5))

y - 1 = -4(x + 5)

        However, in the picture the slope is [tex]\frac{1}{4}[/tex], so we would write it as;

                      y - 1 = [tex]\frac{1}{4}[/tex](x + 5)

what is the area of a oblong with a base of 7cm and a height of 4 cm

Answers

Answer: 7*4 is 28 square centimeters...

Which statement is true about this equation? 3(-y 7) = 3(y 5) 6.

Answers

The statement that is true about the equation 3(-y + 7) = 3(y + 5) + 6 is;

Statement A; The equation has one solution, y = 0

The given equation is;

3(-y + 7) = 3(y + 5) + 6

Expanding the brackets gives us;

-3y + 21 = 3y + 15 + 6

-3y + 21 = 3y + 21

Using subtraction property of equality, subtract 21 from both sides to give;

-3y = 3y

Using addition property of equality, add 3y to both sides to give;

-3y + 3y = 3y + 3y

6y = 0

Using division property of equality, divide both sides by 6 to get;

y = 0

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The missing statements are;

A. The equation has one solution, y = 0.

B. The equation has one solution, y = -1.

C. The equation has no solution.

D. The equation has infinitely many solutions.

Here is a balanced Hanger. Each triangle weighs 2.5 pounds, each circle weighs 3 pounds, and x represents the weight of each square. Select all equations that represent the hanger

Answers

Answer:

4x+2.5+2.5+3+3=2x+2.5+3+3+3 AND 4x+5+6=2x+2.5+6

Step-by-step explanation:

2x- 5 >18 +x
necesito ayuda pliss
necesito con resolución

Answers

Answer:

x > 23

Step-by-step explanation:

2x - 5 > 18 + x

x - 5 > 18

x > 23

brainliest pls

x>23 because that’s just the answer

Someone help me out on this math question?

Answers

Answer:

  A. discrete

  B. discrete

  C. continuous

  D. continuous

Step-by-step explanation:

When things are expressed in terms of whole numbers, the value is discrete. This is the case for A and B.

__

When the variable can have any rational or irrational value, it is a continuous variable. This is the case for C and D.

Apple + Orange = $20
Apple is twice the price of the orange
How much does the apple cost?

Answers

Answer:

Step-by-step explanation:

let price of Orange=x

price of Apple=2x

x+2x=20

3x=20

x=20/3

cost of Apple=2x=2×20/3=40/3=$13 1/3

Let Apple be 2x and y
According to question,
x + 2x = 20
3x = 20
x = 20/3
x = 6.6667
2x = 2 x 6.667 = 13.33

Your little brother wants hot chocolate ot be 150 degrees, but you accidentally heated the water to 175 degrees. If after 5 minutes the temperature is 165 and the temperature in your house is 70 degrees, how long will your little brother have to wait to drink his hot chocolate?

Answers

Answer:

12.5 minutes

Step-by-step explanation:

it takes 5 minutes to cool 10 degrees

after ten minutes it would be 20 degrees less

then after 2.5 minutes it would be 5 degrees less

so it would take you 12.5 minutes to get 25 degrees less

Answer:My little brother will have to wait for 12.5 minutes to drink his hot chocolate.Step-by-step explanation:

We know that in 5 minutes, the temperature of the hot chocolate decreased by 10 degrees. We also know that the temperature is fixed at 70 degrees. Now, using the info given, let's solve!

=> 5 minutes = 10 degrees decrease=> 1 minute = 2 degrees decrease=> 1 minute x 12.5 = 2 x 12.5 degrees decrease=> 12.5 minutes = 25 degrees decreaseConclusion:

Therefore, my little brother will have to wait for 12.5 minutes to drink his hot chocolate.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Which expression represents the expanded version of the expression below?

4x(3x+7)

Answers

Answer:

X is just a variable.

Step-by-step explanation:

what is 0.75 greater than 9

Answers

Answer: 9.75

Step-by-step explanation: i just added

Answer:

less

Step-by-step explanation:

What is the measurement of pie?

Answers

Answer: 3.14159

Step-by-step explanation:

Urgent!

18. A tennis ball is launched straight upward with an initial velocity of 24.5 m/s from the edge of a cliff that is 117.6 meters above the ground. Which quadratic equation could be used to correctly determine when the ball will hit the ground:



4.9t2 + 24.5t + 117.6 = 0

-4.9t2 - 24.5t + 117.6 = 0

-4.9t2 + 24.5t - 117.6 = 0

4.9t2 + 24.5t - 117.6 = 0

-4.9t2 + 24.5t + 117.6 = 0



19. Solve the equation you chose in question 18 to determine when the ball will hit the ground. (HINT: If you don't get one of the answers listed for this question, then maybe you chose the wrong equation in #18. Use this opportunity to double check your work!)

t = 8 seconds

t = 4 seconds

t = 3 seconds

t = -3 seconds

The ball will never reach the ground.



20. Using the same equation, determine when the ball is at a height of 49 meters.

Answers

Step-by-step explanation:

18.

the last one.

-4.9t² + 24.5t + 117.6 = 0

the ball starts at 117.6 meters height. then, during the first seconds the thrust upwards is adding height, until finally, with more and more seconds passing, gravity will win with a vengeance and pulls the ball down faster and faster than any other force in any other direction.

19.

the general solution for a quadratic equation

y = ax² + bx + c

is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = t

a = -4.9

b = 24.5

c = 117.6

t = (-24.5 ± sqrt(600.25 - -4×4.9×117.6))/-9.8 =

= (-24.5 ± sqrt(600.25 + 2304.96))/-9.8 =

= (-24.5 ± sqrt(2905.21))/-9.8 = (-24.5 ± 53.9)/-9.8

t1 = (-24.5 + 53.9)/-9.8 = -3

t2 = (-24.5 - 53.9)/-9.8 = 8

a negative time does not make any sense, so the real solution is : the ball reached the ground after 8 seconds.

20.

now the equation is

-4.9t² + 24.5t + 117.6 = 49

but this is quickly transformed again into a "= 0" equation :

-4.9t² + 24.5t + 68.6 = 0

t = (-24.5 ± sqrt(600.25 - -4×4.9×68.6))/-9.8 =

= (-24.5 ± sqrt(600.25 + 1344.56))/-9.8 =

= (-24.5 ± sqrt(1944.81))/-9.8 = (-24.5 ± 44.1)/-9.8

t1 = (-24.5 + 44.1)/-9.8 = -2

t2 = (-24.5 - 44.1)/-9.8 = 7

again, negative time does not make sense.

the ball will be at 49 m height after 7 seconds.

a) Write an equation for the line of best fit.


Y=-0.007x+13.713


5. The data below shows the population of a city,


In millions of people, since 1950.


Year Population


1950 1.75


1960 1.68


1970


1.52


1980


1.16


TO


b) Estimate the population of the city in 2020.


1990


1.04


2000


0.98

Answers

Answer  

Step-by-step explanation:

In millions of people, since 1950

plz help answer will mark brainiest

Answers

Answer:

4/3 litres of water is enough to water 2/5 of the plants

Assuming the number of plants in the house is an unknown variable, take the value as x.

Thus, 4/3 litres is enough to water 2x plants in the house.

x = 4/3 ÷ 2

  = 2/3 litres

Amount of water for all the plants = 5x = 5 × 2/3

                                                                = 10/3 litres

Thus, 10/3 litres of water is necessary to water all the plants in the house.


Triangle NLM is reflected over the line segment as
shown, forming triangle ABC. Which congruency
statement is correct?
NLM - CAB
NLM -CBA
NLM - BCA
NLM - BAC

Answers

NLM-CAB would be the right answer

Triangle NLM is reflected over the line segment as shown, forming triangle ABC  then the correct congruency statement is NLM ≅ CAB

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Triangle NLM is reflected over the line segment and form the  triangle ABC.

Triangle NLM is reflected over the line segment to form triangle ABC. This means that the corresponding sides and angles of the two triangles are congruent.

The reflection over a line segment preserves the orientation of the triangle, so the order of the letters in the names of the triangles should remain the same.

Therefore, triangle NLM is reflected over the line segment as shown, forming triangle ABC  then the correct congruency statement is NLM ≅ CAB

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what are 4 quarts in one gallon but in a
fraction form

Answers

Should be 1/4 to my knowledge.

Answer:

4 Quarts =  1 Gallon

Step-by-step explanation:

1 is an integer and not a fraction. However, it can be expressed as a fraction in rational form as 1/1. So a possible answer is 1/1 gallon. I don't know for sure though its my best guess.

A construction crew is paving a road. The crew has already paved 1,000 square feet and can pave at a rate of 300 square feet of road per hour. The function f(x) = 300x + 1,000 represents this situation.

What is f(3), and what does it represent?


900 square feet; f(3) represents the number of additional square feet the construction crew has paved after 3 hours, not including the initial paved amount.
900 square feet;, f, (3) represents the number of additional square feet the construction crew has paved after 3 hours, not including the initial paved amount.

900 square feet; f(3) represents the total number of square feet the construction crew has paved after 3 hours.
900 square feet; , f, (3) represents the total number of square feet the construction crew has paved after 3 hours.

1,900 square feet; f(3) represents the number of additional square feet the construction crew has paved after 3 hours, not including the initial paved amount.
1,900 square feet;, f, (3) represents the number of additional square feet the construction crew has paved after 3 hours, not including the initial paved amount.

1,900 square feet; f(3) represents the total number of square feet the construction crew has paved after 3 hours.

Answers

Answer:

1,900 square feet; f(3) represents the total number of square feet the construction crew has paved after 3 hours.

The function of the construction crew is an illustration of a linear function

The value of f(3) is 1900, and f(3) represents the total number of square feet paved after working for 3 hours

The function is given as:

To calculate f(3), we substitute 3 for x

Multiply 300 and 3

Add 900 and 1000

This means that the value of f(3) is 1900.

And it represents the total number of square feet paved after working for 3 hours

1,900 square feet; f(3) represents the total number of square feet the construction crew has paved after 3 hours.

a box of snacks contained 20 individual packages. the newly designed box contains 28 individual packages by what percent did the individual packages increase

Answers

Answer:

40%

Step-by-step explanation:

increased amount = 28 - 20 = 8

to get the percentage we have to divide the increased amount by original amount which will be 8/20 = 0.4

0.4 is 40%

The percentage increase is given as:

= [ (Final value - Initial value) / Initial value] x 100

The percentage increase in the number of individual packages is 40%

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Number of initial individuals packages = 20

Number of final individuals packages = 28

The percentage increase is given as:

= [ (Final value - Initial value) / Initial value] x 100

The percentage increase in the number of individual packages:

= [(28 - 20) / 20] x 100

= (8/20) x 100

= 40%

We can cross-check:

100% = 20 packages

140% = 140/100 x 20 packages

140% = 28 packages.

Thus,

The percentage increase in the number of individual packages is 40%

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helllp meeeeeeeeeeeeeeee

Answers

The answer would be (B)

can someone please help me i need to show the working out too

Answers

Answer:

(1) x=15/2

(2) x=1

Step-by-step explanation:

(1) 4x−1 /2 =x+7

2x+ −1 /2 =x+7(Distribute)

2x+ −1 /2 =x+7

Step 2: Subtract x from both sides.

2x+ −1 /2 −x=x+7−x

x+ −1 /2 =7

Step 3: Add 1/2 to both sides.

x+ −1 /2 + 1 /2 =7+ 1 /2

x= 15 /2

(2) 3x+2=( 2x+13)/ 3

3x+2= 2 /3 x+ 13 /3  (Distribute)

3x+2= 2 /3 x+ 13 /3

Step 2: Subtract 2/3x from both sides.

3x+2− 2 /3 x= 2 /3 x+ 13 /3 − 2 /3 x

7 /3 x+2= 13 /3

Step 3: Subtract 2 from both sides.

7 /3 x+2−2= 13 /3 −2

7 /3 x= 7 /3

Step 4: Multiply both sides by 3/7.

( 3 /7 )*( 7 /3 x)=( 3 /7 )*( 7 /3 )

X=1

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

i don't know but I think question 1 is 64

Rotation 180 counterclockwise around the origin of the point (-3,-7)

Answers

Answer: (3 , 7)

Step-by-step explanation: When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative. Since x and y are already negative, they become positive due to the double negative rule.

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