Paul is making grey paint. He mixes black and white paint in the ratio 1:3. He makes 35 litres of grey paint. How much white paint does he use?

Answer:

See attachment

Step-by-step explanation:

See attached image.

Answer:

20

Step-by-step explanation:

Given:

Substitute the value of x into the expression:

⇒ 3x + 4x - 15

⇒ 3(5) + 4(5) - 15

Simplify the expression:

⇒ 15 + 20 - 15

⇒ 15 + 5

⇒ 20 (Option A)

Answer:

A. 20

given function:

put x = 5

simplify

answer

Answer:

y = [tex]\frac{3}{2}[/tex] x + 7

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y - 8 = - [tex]\frac{2}{3}[/tex] (x + 5) ← is in point- slope form

with m = - [tex]\frac{2}{3}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{2}{3} }[/tex] = [tex]\frac{3}{2}[/tex]

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept ) , then

y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

to find c substitute (- 6, - 2 ) into the partial equation

- 2 = - 9 + c ⇒ c = - 2 + 9 = 7

y = [tex]\frac{3}{2}[/tex] x + 7 ← equation of line K

The equation of the perpendicular line in the slope-intercept form will be y = (3/2)x + 7.

Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.

The equation of the line is given as,

y - 8 = -2/3(x+5)

The equation of the line that is perpendicular to the line y - 8 = -2/3(x+5) is given as,

y = 3/2x + c

The line is passing through (-6, -2), then we have

-2 = 3/2(-6) + c

-2 = -9 + c

c = 7

The equation of the perpendicular line in the slope-intercept form will be y = (3/2)x + 7.

More about the equation of a perpendicular line link is given below.

https://brainly.com/question/14200719

#SPJ2

Answer:

arc AB = 70°

arc BC = 110°

arc ABC = 180°

arc CDB = 250°

Step-by-step explanation:

Since these angles are not inscribed, but are at the center point of the circle, the angles and arcs will be the same measure.

Solve for arc AB:

Angle AFB = 70°, so arc AB = 70°

Solve for arc BC:

Angle AFC is a straight angle so it is 180°. To find angle BFC, subtract angle AFB from 180°.

180 - 70 = 110°

Since angle BFC = 110°, arc BC = 110°

Solve for arc ABC:

Add arc AB and arc BC together.

70° + 110° = 180°

arc ABC = 180°

Solve for arc CDB:

There are 360° in a cirlce. To find arc CDB, subtract arc BC from 360°.

360° - 110° = 250°

arc CDB = 250°

Answer:

A

Step-by-step explanation:

I got it correct on study island.

Answer:

This is positive

Step-by-step explanation:

A "double negative" will always be positive. The equation should be rewritten as -49+78, the answer is 29.

Answer:

This one will be postive

Step-by-step explanation:

–49 − –78 is positve 29

It comes out to a positive because you are subtracting by a negative.

Hope that helps!

Answer:

See below ↓

Step-by-step explanation:

1.

2.

3.

Answer:

b= 26 degrees

Step-by-step explanation:

A whole circle is equal to 360 degrees, so subtract 298 from it and get 62.

62 is the gap and also the value of the whole angle b+36.

Subtract 36 from 62 to get b.

62-36 = 26 degrees

Your answer!

Explanation:

We'll have rectangles to represent the four categories mentioned in the table. The height of each rectangle (known as a "bar") represents the number of people in that particular category.

For example, we have 11 people who rated their visit as "poor", so the bar labeled "poor" will be 11 units tall. The same will apply to the other bars.

Pay special attention there are gaps between adjacent bars. This is in contrast to a histogram where there are no gaps. This is simply a style choice.

Answer: 6 cm, 11 cm, 12 cm

Step-by-step explanation:

Answer:

The word or is used in probability to denote that you are computing the chance that either event A or event B occurred; both events do not have to occur. When you employ the word and, you're implying that both A and B must occur.

In Conclusion:

If either one or both of them occur, the condition is fulfilled, and the probabilities are added.

The condition is satisfied if and only if both of them occur, and the probabilities are increased.

if dimensions were 5 and 12, that means ratio was 5:12. if we increase wach dimension by the same amount, the ratio is the same.

so:

5x×12x=120

60x²=120

x²=120÷60

x²=2

x=√2

that means each dimension was increased by √2

so dimensions are: 5√2 and 12√2

Answer:

Mode: 7

Range: 6

Step-by-step explanation:

Think of the M and O in "mode" as "most often." The mode is the number that appears more than any other.

Range is the difference (subtraction) between the smallest number and largest number in the data. So we have 3, 5, 5, 7, 7, 7, 7, 7, 8, 8, and 9. We take the largest number, 9, and subtract the smallest number, 3, from it.

9-3 = 6

In the future, if you come across "median," that means to put all of the numbers in order from least to greatest and whatever number is in the middle will be the median. Think of the median of a road, which is at the center. The median in this data set would be 7. If you have two different numbers in the center, find the number between those two. For example: if the two median numbers were 7 and 8, the median would be 7.5.

The mean is the sum of all of the numbers, divided by two. So for this data set, you would do 3+5+5+7+7+7+7+7+8+8+9. Then, you would take the total and divide it by 2.

73 / 2 = 36.5

Answer:

82 yd²

area of rectangle:

Length * Width

area of 2nd rectangle

area of triangle

total:

Answer: B: milk jug

Step-by-step explanation:

A gallon is equivalent to 128 oz and a glass of water would not be able to hold that capacity, neither can a bathtub because a bathtub would need more than 1 gallon of water to fill it up. A measuring cup is usually used for cooking etc... and usually the measurements aren't measured by gallons. So the only realistic answer it would be is a milk jug.

Answer:

I think the answer is C

Step-by-step explanation:

Answer:

14 mph

Step-by-step explanation:

Speed of boat in calm water = x

Speed of current = y

Speed of boat with the current = 72 mi / 4 hr = 18 mph

Speed of boat against current = 40 mi / 4 hr = 10 mph

x + y = 18

x - y = 10

2x = 28

x = 14

Answer: 14 mph

Answer:

14 m/hr

Step-by-step explanation:

72 m / 4 hr = 18 m/hr

40 m / 4 hr = 10 m/hr

still water speed =  (18+ 10 )/2 = 14 m/hr

 current speed   (14 -x) 4 = 40

                       x = current speed = 4 m/hr

~Denki Kaminari here~

Answer:

JGH

Step-by-step explanation:

it can be proven because there is the measurement of "P".

hope this helps :D

Answer:

Step-by-step explanation:

answer: y = -5 + 19

We can use the point-slope formula to find an equation to solve this problem. The point-slope formula states: (y−y1)=m(x−x1)

Where m is the slope and (x1y1) is a point the line passes through.

Susbtituting the slope and values from the point from the problem gives:

(y−−1)=−5(x−4)

(y+1)=−5(x−4)

We can also solve this for the slope-intercept form. The slope-intercept form of a linear equation is: y=mx+b

Where m is the slope and b is the y-intercept value.

Substitute the slope from the problem for m and the values of the point from the problem for x and y and solve for b:

−1=(−5⋅4)+b

−1=−20+b

20−1=20−20+b

19=0+b

19=b

We can substitute for m and b in the formula to find the equation:

y=−5x+19

Answer:

9/12 or 3/4

Step-by-step explanation:

1/6 = 2/12

2/12 + 1/12 = 3/12

12/12 - 3/12 = 9/12

9/12 simplified is 3/4

The amount of energy waste, in terms of hours which a 60-watt light bulb would remain on, is 61.6 hours then the correct option is B.

A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Marco leaves the bathroom faucet running for 22 minutes while he gets ready in the morning.

Running the faucet for 5 minutes wastes the same amount of energy as leaving a 60-watt light bulb on for 14 hours.

Then we have

[tex]\begin{aligned} \dfrac{5\ minutes}{14 \ hours } &=\dfrac{1\ minute }{x \ hours}\\\\x &= 2.8 \ hours \end{aligned}[/tex]

So, the rate is 2.8 hours per minute.

Since macro leaves the bathroom faucet running for 22 minutes. Then the waste of energy is leaving a 60-watt light bulb will be

→22 minutes × 2.8 hours/minute = 61.6 hours.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

Using the volume of the cube, it is found that the fraction of the prism's volume will bring filled by the sand is of [tex]\frac{3}{5}[/tex].

The volume of a cube of edge length l is given by:

V = l³.

In this problem, there are two cubes, each with edge length of l = 5 cm, hence, the total volume is given by:

V = 2 x l³ = 2 x (5 cm)³ = 250 cm³.

150 cm³ will be filled with sand, hence the fraction is given by:

[tex]\frac{150}{250} = \frac{15}{25} = \frac{3}{5}[/tex]

More can be learned about the volume of a cube at https://brainly.com/question/13030328

(f + g)(x) is another way of writing f(x) + g(x).

Given that

(f + g)(x) = 10x + 7

f(x) = 6x + 2

it follows that

g(x) = (f + g)(x) - f(x)

g(x) = (10x + 7) - (6x + 2)

g(x) = 4x + 5

g(x) be n

Now

Interchange x

Option D

Answer:

g(1) = 1

Step-by-step explanation:

we use the last equation since it can be used when x is not -2 or -1

if we plug in 1 in the equation the answer will be 1

Answer:

$5.75

Step-by-step explanation:

Find the difference between the weeks as this will give you the difference hence the amount deposited each week

0->1

is 12.00->17.75

diffrence is $5.75

1->2

is 17.75->23.50

diffrence is  $5.75

the amount saved each week is $5.75

Answer:

46.24 mm²

Step-by-step explanation:

Given:

s = 6.8 mm

To find the area of the square, simply square the measure of the side length.

⇒ Area of polygon = s²

Substitute the measure of the side length:

⇒ Area of polygon = (6.8)²                                                              [s = 6.8 mm]

Simplify the area:

⇒ Area of polygon = (6.8)(6.8)

⇒ Area of polygon = 46.24 mm²

Answer:

46.24mm.²

Step-by-step explanation:

Multiplying base by height:

6.8 times 6.8 = 46.24mm.²

Or doing 6.8² (same thing)

Since this is a square you can do 6.8 squared.

Answer:

190 cm^2

Step-by-step explanation:

Top and Bottom = 2(3*10)=60cm

Sides = 2(5*10)=100

Front and Back =2(3*5)=30

total = 190

Answer:

mew

Step-by-step explanation:

Answer:

12. Octagon, Regular

13. Triangle, Regular

14. Rectangle, Irregular

15. Pentagon, Irregular

Step-by-step explanation:

Irregular vs. regular boils down to whether the sides and angles of the figure are all equal. In figures 14 and 15, the sides are clearly not all the same length, so they are irregular.

Answer:

(x+5) is not a factor of f(x)

Step-by-step explanation:

Step 1 : we solve the equation x +5 = 0

x + 5 = 0 then x = -5

Step 2: we plug in -5 into f(x)

If we get zero then x+5 is a factor of f(x)

If we get a number other than zero then x+5 is not a factor of f(x)

Calculation:

f(-5) =  (-5)³ − 4(-5)² + 3(-5) + 7 = - 233

Since we got -233 and not 0

Therefore ,(x+5) is not a factor of f(x)

Answer:

(x + 5) is not a factor of f(x) = x^3 - 4x^2 + 3x + 7

Step-by-step explanation:

To see if (x + 5) is a factor, you can use either synthetic division or long division.

I'll be using synthetic division to divide f(x) by (x + 5):

-5 | 1 -4 3 7

| -5 45 -240

---------------------

1 -9 48 -233

The remainder is -233, which means that (x + 5) is not a factor of f(x) since there is a remainder.

Therefore, (x + 5) is not a factor of f(x) = x^3 - 4x^2 + 3x + 7.