To get a shade of blue, a painter mixes blue paint and white paint in the ratio of 4:1.

How many litres of blue paint and white paint would be needed to get 60 litres of the required

shade of blue?

Which one is correct
55 blue and 5 white
48 blue and 12 white
45 blue and 15 white
40 blue and 20 white

Answers

Answer 1

Answer:

48 blue and 12 white

Explanation:

60 ÷ 5 = 12

4 × 12 = 48

12L white

48L blue

To check:

48 + 12 = 60

Answer 2

48 liters of blue paint and 12 liters of white paint would be needed to get 60 liters of the required shade of blue.

What is ratio?

"I is the comparison of two quantities of the same kind."

What is an equation?

"It is a mathematical statement that consists of equal symbol between two algebraic expressions."

For given question,

To get a shade of blue, a painter mixes blue paint and white paint in the ratio of 4:1

Let 'x' be the common factor of the ratio.

[tex]\Rightarrow \frac{4}{1} = \frac{4\times x}{1\times x}[/tex]

A painter needed 60 liters of the required shade of blue.

So, we get an equation,

⇒ 4x + 1x = 60

where 4x is the amount of blue paint and 1x is the amount of white paint.

We solve above equation.

⇒ 4x + 1x = 60

⇒ 5x = 60

⇒ x = 12 liters

And the value of 4x would be,

⇒ 4x = 4 × 12

⇒ 4x = 48 liters

Therefore, 48 liters of blue paint and 12 liters of white paint would be needed to get 60 liters of the required shade of blue.

Learn more about ratio, equation here:

https://brainly.com/question/1106484

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Related Questions

Please Help me need help

Answers

Answer:

-1 * (x/y)

Step-by-step explanation:

-x/y = x /-y

Factor out the negative

-(x/y) = -(x/y)

This is equal to -1 * (x/y)

Robert has been on the road for 1 hour and 50 minutes. He has been traveling at a constant rate. So far, he has traveled one-sixth of his way to his destination. If he continues at the same rate, he will arrive at his destination at 3:30 PM. At what time did Robert start?

Answers

Answer: 6:30 AM

Step-by-step-explaination: 1:50×6=9:00. Robert will travel for 9 hours. We multiplied 1:50 times 6 because he has traveled one-sixth of the way. Now, we subtract 9 hours from 3:30.

3:30

2:30 1st

1:30 2nd

12:30 3rd

11:30 4th

10:30 5th

9:30 6th

8:30 7th

7:30 8th

6:30am is the answer because it is the ninth one from 3:30.

At what position on the number line is the red dot located

Answers

Answer:

A

Step-by-step explanation:

What is the circumference of the circle below? Use the formula C = 2tr.
5 m
A 5 m
B 10T m

Answers

Answer: B

Step-by-step explanation:

The formula for circumference of a circle is 2 pie radius (2πr)

1. radius=5

2 so 2π(5)

3 2x5=10

4. 10π

the answer to this question would be B

sec 2x =
Check all that apply.

Answers

Answer:

C,D

Step-by-step explanation:

that is the answer to the question

state two properties of a square​

Answers

Answer:

all sides are equal and diagonals are also equal

each angle of square is 90°

Complete the equation of the line through (4,-8) and (8,5)

Answers

Answer:

y = 13/4x - 21

Step-by-step explanation:

y2 - y1 / x2 - x1

5 - (-8) / 8 - 4

13/4

y = 13/4x + b

5 = 13/4(8) + b

5 = 26 + b

-21 = b

If you know the length of the side of the square, how can you figure out the area?

Answers

Answer:

By multiplying

If the sides were 5 then you would do 5x5 to get the area  

Hope this makes sense :)

^lets start off easy☺️^



Jack is 5 years older than Mary. In four years the sum of their age is 33 years old. What are their ages?

Answers

Answer:

mary=10 jack=15

Step-by-step explanation:

After 4 years Mary (x+4), Jack's age (x+5) + 4.

sum of the ages after 4 years :(x+4) + (x+5) +4=33 

Simplifying the equation:

2x+13 = 33 ----->> 2x=20----->>>>x = 10 Mary's age

10 + 5 = 15 which is Jack's age. 


can someone pls help me !

Answers

Answer:

Step-by-step explanation:

Which statement tells how to graph the point (3, 2) on a coordinate plane?

Answers

Answer:

Step-by-step explanation:

plot 3 unit right from the origin and then 2 units up.

?
—— x 8 = 7
8

*please help and explain how you got the answer :)*

Answers

Answer:

7

Step-by-step explanation:

7 divided by 8 multiplied by 8 would be 7

[tex]x^{2} -7x-18[/tex]

Answers

Answer:

(x - 9)(x + 2)

Step-by-step explanation:

x² - 7x - 18

x² + 2x - 9x - 18

x(x + 2) - 9(x + 2)

(x - 9)(x + 2)

The (blank) of the following set of data is 6.

13, 7, 9, 5, 2, 3, 5, 4, 10, 12

A. Mode
B. Mean
C. Median
D. Range

PLZ HELP

Answers

Answer: Median!

Step-by-step explanation: If it's easier you can just use this website so your math will be easier: https://www.calculatorsoup.com/calculators/statistics/mean-median-mode.php

Answer:

Firstly arrange the numbers in order then cancel from the beginning numbers to end numbers then middle one is the answer

Help please...no links...

Answers

the answer is 3/4 or c.

Step-by-step explanation:

to find tan A you would use the equation of tan which is the value opposite the angle A which is 27 over the value adjacent to the angle which is 36.

Square units are used to measure?
1 width
2 volume
3 area
4 length

Answers

3.area
Square units are used to measure area.
3. area
you always wanna do the sides of the square to measure it (which is area)

What is the area of the right triangle shown in the image.

Answers

Answer:

24 sq. in

Step-by-step explanation:

To find the area of a triangle, you multiply both sides by one another, then divide the product in half.

In this case it would go along the lines of:

6 x 8 = 48

48/2 = 24

And 24 is the desired answer.

Arithmetic and Geometric Sequences


When an object is dropped from a tall building, it falls about 16 feet in the first second, 48 feet in the second second, and 80 feet in the third second, regardless of its weight.

How many feet would an object fall in the tenth second? ​

Answers

Answer:

the object will fall 5060 feet in 10 second.

Step-by-step explanation:

g= 9.8m/s^2 and 9.8×3.33=32.67 feet/s^2.

initial velocity (u)= 16 feet/second

time taken(t)=10 second

final velocity(v)= ?

now,

V= u+ GT

=16+32.67×10

=342.67feet/second

again

distance covered= VT+1/2gt^2

=342.67×10+1/2×32.67×100

=3426.7+1633.33

=5060 feet

Solve 5b + 11 = 56 - 4b.

Answers

Okie so basically to solve this equation, you have to bring the variables to one side and the constants to the other side of the equal sign (remember that when you bring the variables and constants to each side their sign changes):


5b + 4b = 56 - 11


Now add/subtract like terms:


9b = 45


Divide both sides by 9 because that is what both sides can be divisible by:

b = 5


Your answer is b = 5.

I think is b = 5 …..

Which expressions are equivalent to -4(3d - 2) – 7?
Choose all answers that apply:
-12d - 15
12d - 15
None of the above

Answers

Answer:

None of the above

Step-by-step explanation:

-4(3d - 2) – 7

Distribute

-12d +8 -7

-12d +1

Answer:

None of the above

Step-by-step explanation:

-4(3d - 2) - 7 = (-4)*3d - 2 *(-4) - 7

                    = -12d + 8 - 7

                    = -12d + 1

A bag contains 6 red marbles, 2 blue marbles and 5 green marbles. If two marbles are
drawn out of the bag, what is the probability, to the nearest 1000th, that both
marbles drawn will be red?

Answers

The total number of marbles in the box is 25, that is 9 green, 5 blue and 11 red. You wish to know t probability that the single chosen green or blue marble. There are a total of 14 green and blue marbles so the probability is 14/25 or 56%.

Find x.
Do not round your answer.
8 cm
4 cm
X
x =
= [ ? ] cm

Answers

Answer:

x =12

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(4+x) * 4 = 8^2

Distribute

16+4x = 64

Subtract 16 from each side

4x = 48

Divide each side by 4

4x/4 = 48/4

x = 12

Answer: 12

Step-by-step explanation: 8*8 = 4(4+x), which is equal to 64 = 16 + 4x, subtract 16 from both sides, 48 = 4x, divide both sides by 4 to isolate x, 12 = x

ill give brainliest to who gets the answer right​

Answers

Answer:

Ln(6x²/y⁴)

ln(6x²)-ln(y⁴)

ln6 + lnx² - lny⁴

ln6 + 2lnx - 4lny

ln(2x3) + 2lnx -4lny

In2 + In3 + 2lnx - 4lny.

That should be it.

Have a great day

I write down a number lager than 1 and less than 10. Find the chance that the number is a factor of 12.

Answers

Answer:

4

Step-by-step explanation:

2*6 = 12

3*4 =12

these are all the numbers that would be a factor of 12 between 2-10

Is this right or wrong ?

Answers

Answer:

[tex](3x - 2)(4x + 6) = 12 {x}^{2} + 18x - 8x + - 12 \\ = 12 {x}^{2} + 10x - 12 [/tex]

7) y is inversely proportional to the square root of (x + 1).
When x = 8, y = 2. Find y when x= 99.

Answers

Mark Brainliest please

Answer y= 16/99

Explanation:
the initial statement is
y ∝ 1/x

To convert to an equation multiply by k the constant of variation
⇒ y = k × 1/x = k/x
To find k use the given condition y = 15 when x = 5

y = k/ x

⇒ k = y*x = 8 * 2 =16

equation is
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

y = 16/ x

when
x = 99
then

y = 16/99

Y = 16/99

A study of the effects of acid rain on trees in the Hopkins Forest shows that 25 of 100 trees sampled exhibited some sort of damage from acid rain. This rate seemed to be higher than the 15% quoted in a recentEnvironmetricsarticle on the average proportion of damaged trees in the Northeast. Does the sample suggest that trees in the Hopkins Forest are more susceptible than trees from the rest of the region

Answers

Answer:

Yes

Step-by-step explanation:

We can test this claim using the one proportion z test :

x = 25 ; n = 100

Phat = x / n = 25 / 100 = 0.25

H0 : P = 0.15

H0 : P > 0.15

The test statistic :

Z = (phat - p) ÷ √p(1-p)/n

Z = (0.25-0.15) ÷ √(0.15*0.85)/100

Z = 2.8

Using the Pvalue from Zscore calculator :

α = 0.05

Pvalue (Z < 2.8) =0.0026

Pvalue < α ; We reject the Null

Find the percent change. Round to the nearest tenth of a percent when necessary. Indicate if the percent
change is an increase or decrease.
From 50 to 94.
46.8% derease
46.8% increase
88% derease
88% increase

Answers

Answer: 88% increase.

Answer: 88% increase

Find the perimeter and the area of the figure. I have been trying to figure this one out for hours.

Answers

Answer:

56 meters

Step-by-step explanation:

when calculating the perimeter, you need to take into account every side of the figure.

i will start at the top and go clockwise showing you my calculations

5 + 5 + 11 + 7 + 16 + 7 + 5

= 56

Heidi solved the equation 3(x + 4) + 2 = 2 + 5(x – 4). Her steps are below: 3x + 12 + 2 = 2 + 5x – 20 3x + 14 = 5x – 18 14 = 2x – 18 32 = 2x 16 = x Use the drops-downs to justify how Heidi arrived at each step. Step 1: distributive property Step 2: Step 3: Step 4: Step 5:

Answers

Answer:

See explanation

Step-by-step explanation:

3(x + 4) + 2 = 2 + 5(x – 4)

Step 1: distributive property

3(x + 4) + 2 = 2 + 5(x – 4)

3x + 12 + 2 = 2 + 5x - 20

Step 2: collect like terms

3x + 12 + 2 = 2 + 5x - 20

3x + 14 = 5x - 18

Step 3: Addition property of equality

3x + 14 = 5x - 18

3x + 14 + 18 = 5x - 18 + 18

3x + 32 = 5x

Step 4: subtraction property of equality

3x + 32 - 3x = 5x - 3x

32 = 2x

Step 5: division property of equality

32 = 2x

32/2 = 2x/2

16 = x

x = 16

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