Caroline, Colin & Sarah share some money.

Caroline gets

1

9

of the money.

Colin and Sarah share the rest in the ratio 1:3.

What proportion does Colin get?

3t=21

[tex]t = \frac{21}{3} \\ t = \frac{ \cancel{{21}}{{}^{\:\:\:7}}}{\cancel3} \\ t = 7 \: \: answer[/tex]

Step-by-step explanation:

that means the opposite ...

the opposite of

x > 39

is

x <= 39

Answer:

D. 2x - y = 13

Step-by-step explanation:

We are given the line x + 2y =5

We want to find the equation that is perpendicular to this line, and that also passes through (4, -5)

Perpendicular lines have slopes that multiply to -1

First, let's find the slope of the line

The line is currently in standard form (ax+by=c), which doesn't show the slope; we can convert this line into slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)

To do that, we will need to solve the equation for y

Here it is:

x + 2y = 5

Subtract x from both sides

2y = -x + 5

Divide both sides by 2

y = -1/2x + 5/2

The slope of the line is -1/2

Now, to find the slope of the line perpendicular to it, use this equation:

-1/2m = -1

Multiply both sides by -2

m = 2

The slope of the line perpendicular to it is 2

Here is the equation of the line so far in slope-intercept form

y = 2x + b

We need to find b

As the equation passes through the point (4, -5), we can use it to help solve for b.

Substitute 4 as x and -5 as y.

-5 = 2(4) + b

Multiply

-5 = 8 + b

Subtract 8 from both sides

-13 = b

This is our line:

y = 2x - 13

Even though this is in slope-intercept form, all of the options in your question are in standard form. Ergo, we must convert the line into standard form.

To do this, we can subtract 2x from both sides, as in standard form, x and y are on the same side

-2x + y = -13

Now multiply both sides by -1

2x - y = 13

This makes the answer D.

Answer:

[tex]5(x-2)^2[/tex]

Step-by-step explanation:

[tex]5x^2-20x+20\\=5(x^2-4x+4)\\=5(x-2)(x-2)\\=5(x-2)^2[/tex]

Answer:

A=a2=142=196cm²

Answer: 196 cm²

hope this helps :)

Answer:

196cm²

Step-by-step explanation:

All of a square's sides are congruent which means if one side is 14cm then all the other sides have to be 14cm as well.

To find the area you multiply the length and the width (A=l*w)

l=14, w=14

14*14=196cm²

Answer:

See below

Step-by-step explanation:

This is two parallel lines crossed by a TRANSVERSAL forming angles 1 - 8 , which are ALL transversal angles .

Angle 2 = angle 6 = angle 4 = angle 8   (congruent)

Angle 1   and  angle 3  and angle 5  and angle 7 are also all equal

A 'straight angle' is a straight line and has a measure of 180 degrees

    look at  angle   1    and angle  2   ....they add up to a straight line = 180 degrees      or angle 1  and angle 6      angle 1 and angle 4    each add to 180 degrees

Any angle in the underlined list above added to any angle in the bold list from above  add to 180 degrees ....

Answer + Step-by-step explanation:

Angles 2 and 6 are transversal and congruent . (True) (Reason : Corresponding angles)

Angles 1 and 7 are transversal and congruent .  (True) (Reason : Alternate Exterior Angles)

Angles 4 and 6 are transversal and congruent .  (True) (Reason : Alternate Interior Angles)

Angles 5 and 7 are transversal and congruent .  (True) (Reason : vertically opposite Angles)

What degree is a straight angle ?  (180 degrees)

What would angles 1 and 6 add up to ?  (180 degrees)

What would angles 8 and 3 add up to ? (180 degrees)

………………………………………………………………………………………

Angles W and Z add up to ?  (180 degrees)

The sum of the 3 angles in a triangle (180 degrees)

Angle Z equals what measure ? (180 - (60+45) = 180 - 105 = 75 degrees)

Angle W equals what (180 - Z = 180 - 75 = 105 degrees)

Answer:

B

Step-by-step explanation:

1/8 + 1/8 + 1/8 + 2/8 + 5/8 = 10/8 (The total amount of oj in each jug.)

(10/8)/5 = 2/8 (5 for the amount of jugs.)

2/8 = 1/4

Answer:

  (b)  Subtract the total deductions from the gross pay

Step-by-step explanation:

The term "net pay" is applied to the pay after deductions are subtracted. It is also called "take-home pay."

The pay computed based on earnings, commissions, credits, and bonuses, before any deductions, is called the "gross pay."

  net pay = gross pay - deductions

Net pay is calculated by subtracting total deductions from gross pay.

Answer:

This is your teacher if you do this again, I will contact your parents and you will get in big trouble.

Step-by-step explanation:

Angles in a triangle adds up to 180

180 - (25.5 +120.2) = 34.3

So, missing angle is 34.3 degrees

Hope this helps!

Answer:

C.

Step-by-step explanation:

-3 7/8 rounds down to -4

4.63 rounds up to 5

-4 x 6 + 5

-24 + 5

-19

her answer (-19.14) also rounds to -19

So yes, it is reasonable and the correct response is C.

Answer:

I'm very sure it is B. The number of students who collected exactly 9 bottles.

Step-by-step explanation:

A is wrong because it does show the total amount of students.

C is wrong because it does show the amount of students that collected 3 or fewer bottles.

D is wrong because it does show the total number of students who collected 7 or fewer bottles.

So, B would be the only correct answers. Hope I helped!! Pls mark brainliest if I did help.

Answer:

The answer your looking for would be B. "The number of students who collected exactly 9 bottles"

Step-by-step explanation:

I took the FLVS test.

Answer:

Step-by-step explanation:

Discussion

If the radius goes through 1 rotation. The "angle" gone through is 360 degrees. So the method is to figure out circumference of the circle, multiply this by a fraction involving 120, and you are done.

Formula

Arc Length = (120/360) * 2 * pi * r      Substitute values into this equation.

Givens

Central angle = 120

r = 9.5

Solution

Arc Length = (120/360) * 2 * 3.14 * 9.5

Arc Length = (0.333) * 2 * 3.14 * 9.5

Arc Length = 19.87 cm

Answer:

Step-by-step explanation

1= 12

.8 of 1 = 48

so it should only take him 48 minutes since hes not taking a full hour but 0.8 is two of from an hour

Answer:

it is -3

Step-by-step explanation:

go to x=-4 and see what the y value of the line is

Answer:

1

Step-by-step explanation:

Find the equation of the line. Start with the y-intercept, which is -1. Next find the slope by doing rise/run. To get from (0, -1) to (2, 0) you rise 1 and run 2, so the slope is 1/2.

The equation is y= 1/2x -1.

Plugin 4 for x and solve for y.

y = 1/2(4) -1

y = 2 - 1

y = 1

Answer:

7x - 10 < 11

Step-by-step explanation:

B

Using it's concept, it is found that the domain of the function graphed below is given by:

[tex](-2,4][/tex] and [tex][7, \infty)[/tex].

It is the set that contains all possible input values for the function. In a graph, it is given by the values of x.

In this problem, x assumes values greater than -2 and less or equal than 4, and then values of 7 or greater, hence the domain is given by:

[tex](-2,4][/tex] and [tex][7, \infty)[/tex].

More can be learned about the domain of a function at https://brainly.com/question/10891721

#SPJ1

Given expression:

To simplify the expression as a fraction in simplest form, let us multiply both terms by 10. Then, both terms must also be divided by 10.

   [tex]\implies \dfrac{[10(0.8) - 10(0.6)]}{10}[/tex]

   [tex]\implies \dfrac{[8 - 6]}{10}[/tex]

   [tex]\implies \dfrac{[2]}{10} = \dfrac{2}{10}[/tex]

When 2/10 is simplified in lowest terms, we get;

   [tex]\implies \dfrac{2}{10} \implies \dfrac{1 \times 2}{5 \times 2} \implies \dfrac{1}{5}[/tex]

Therefore, 0.8 - 0.6 in fraction form is 1/5.

Answer:

$127.32

Step-by-step explanation:

Selling price= $139.99

Sale discount= 15% = $139.99 * 0.15 = $21

Discounted price= $139.99 - $21 = $118.99

Sales tax added= 7% = $118.99 * 0.07 = $8.33

Victoria has to pay = $118.99 + $8.33 = $127.32 so she has enough money to buy it with $2.68 left

Answer:

the answer is bottom left trust

Answer:

bottom left is the answer

Step-by-step explanation:

Answer:

Let the number of shirts he sold the first week = x    and the number sold the second week = 100 - x

So we have      

[Sales] - [Cost] = Profit

[25x + 20(100 - x)] - [15 * 100]  = 600     simplify

25x + 2000 - 20x - 1500 = 600

5x + 500  = 600      subtract 500 from both sides

5x = 100          divide both sides by 5

x = 20 =   the number of shirts sold the first week

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Let x = number of shirts sold in Week 1

Let y = number of shirts sold in Week 2

Profit = Selling price - cost price

If Billy purchased the shirts at a cost of $15 each, then

Equation 1

Total of 100 shirts purchased:

⇒ x + y = 100

Equation 2

Total profit of $600:

⇒ 10x + 5y = 600

Rewrite Equation 1 to make y the subject:

⇒ y = 100 - x

Substitute this into Equation 2 and solve for x:

⇒ 10x + 5(100 - x) = 600

⇒ 10x + 500 - 5x = 600

⇒ 10x - 5x + 500 = 600

⇒ 5x + 500 = 600

⇒ 5x = 600 - 500

⇒ 5x = 100

⇒ x = 100 ÷ 5

⇒ x = 20

Therefore, Billy sold 20 shirts in his first week.

Answer: look at my work its 10 pi cm ^2

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

Area of:

The large circle =  π r^2 = π * 10^2 = 100π

The small circle = π * 5^2 = 25π.

Answer:

x =15

Step-by-step explanation:

its a rectangle all interior angles must be equal to 90 so 6x=90

divide by 6 to get x on its own and you get 15

Answer:

Your hair grows 2 to 4 inches in 4 months, 4 to 6 inches in 9 months, and 6 to 8 inches in a year. Though this is how the usual growth cycle works, it also depends on seasonal changes, hair and scalp health, medications, hormonal changes, and diet among other factors.

Step-by-step explanation:

Answer:

The number is 111

Step-by-step explanation:

284-62= 222

2x111=284

Answer:

x = 111.

Step-by-step explanation:

Based on the given conditions, formulate: 2 * x = 284 - 62 Calculate the sum or difference:2 x = 222

Answer:

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

Answer:

Ib = $16 per lb

Step-by-step explanation: