Question 2 The sales rack in the women's clothes department of a department store contains 32 sweaters. The sizes and colors of these sweaters are given in the table below Sweaters on Sale Color Black Blue Pink Red White Small 4 2 3 Size Medium 4 5 5 2 1 Large 2 1 2 1 What is the probability that a sweater randomly selected from the sales rack is pink and size medium? A 3 32 B 5 32 5 17 D 5 8


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Answer:

Hi! You just have to take his salary as a unity (one) and substract the fractions you are given. For example; lets say you have a cake (one) and then you eat 1/8 of it. You would be left with  [tex]1-\frac{1}8}[/tex] of the original cake.

Step-by-step explanation:

Salary:     [tex]1[/tex]

Spent [tex]\frac{2}{5}[/tex] :     [tex]1-\frac{2}{5}[/tex]

Spent [tex]\frac{1}{4}[/tex]:      [tex]1-\frac{2}{5} -\frac{1}{4}[/tex]

Spent [tex]\frac{1}{8}[/tex]:      [tex]1-\frac{2}{5} -\frac{1}{4} -\frac{1}{8}[/tex]

REMAINING: [tex]1-\frac{2}{5} -\frac{1}{4} -\frac{1}{8}[/tex]

Operate using LCM:  [tex]\frac{40-16-10-5}{40} = \frac{9}{40}[/tex]

The answer is (d)

Answer:

There are 6 strawberry candies

Step-by-step explanation:

Answer:

[tex]18+0.08B\geq 75[/tex]

Step-by-step explanation:

there is a flat fee of $18

there is an incremental fee of $0.08 per ball which can be shown as [tex]0.08B[/tex]

so the amount that Carolina will spend would be [tex]18+0.08B[/tex]

the promotion only applies if Carolina spends $75 or more. the greater than or equal to symbol is [tex]\geq[/tex]

so the inequality would be [tex]18+0.08B\geq 75[/tex]

however, we could simplify this to [tex]0.08B\geq 57[/tex] but it is not necessary

Answer:

612 quarts

Step-by-step explanation:

First, let's set up this situation into a proportion.

Now, let's simplify the proportion.

As you can see, we have to multiple one by thirty-six to get to thirty-six. Whatever we do the denominators, we have to do to the numerators. Thus, 17 multiplied by 36 is 612 quarts.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

612 quarts

Step-by-step explanation:

If 170 quarts of ice cream is made in 10 hours. Then, in 1 hour (170/10) = 17 quarts of ice cream are made.

Therefore, in 36 hours (17×36) = 612 quarts of ice cream are made

Answer:

1 1/3

Step-by-step explanation:

Find the LCD of all of the fractions.

(9/24 + 8/24) + 15/24

Start by adding the parenthesis.

17/24 + 15/24

Add the remaining fractions.

32/24

Simplify the improper fraction.

1 8/24

Make the fraction into simplest form.

1 1/3

Answer:

5d+4

Step-by-step explanation:

Number of ticket sold by Daniel = d .... 1

If Sara sold 4 more tickets to the school play than the number Danielle sold, the total number sold by Sarah is expressed as d+4 .... 2

If Brett sold 3 times as many as Danielle sold, the amount sold by Brett is 3×d = 3d ..... 3

The number of tickets that the 3 students sold altogether can be gotten by adding equation 1, 2 and 3 together as shown;

d+(d+4)+3d

Collect like terms

= d+d+3d+4

= 2d+3d+4

= 5d+4

Hence the number of tickets that the 3 students sold altogether is represented as 5d+4

Answer:

5d+4

Step-by-step explanation:

Have a good day

Answer:

5 months

Step-by-step explanation:

Daniel's provider charges $60 for installation and $45.95 per month. Sydney's provider has free installation and charges $57.95 per month

Let x = number of months

Daniel = 60 + 45.95x

Sydney = 0 + 57.95x

Equate both equations

60 + 45.95x = 0 + 57.95x

Collect like terms

60 - 0 =57.95x - 45.95x

60 = 12x

Divide both sides by 12

x = 60 / 12

= 5

x = 5 months

Daniel and Sydney would have paid the same amount for high-speed Internet service after 5 months

Answer:

About 76%.

Step-by-step explanation:

To find the average of numbers, you add all of the numbers together and divide the total by the number of numbers. In this case, your numbers would be 95 twice, 87 five times, 73 three times, 63 four times, and 40 once. The total number of numbers is 15, and the total of all of the exam scores if you add them up is 1136. Finally, you would divide 1136 by 15, which would be 75.7333333, which would be an average of about 76%.

Answer:

66.4424

Step-by-step explanation:

This is because r^2*3.14

Step-by-step explanation:

This is geogebra app which graphs the equations...

I hope you understand...

Answer:

3

Step-by-step explanation:

They should by 3 because 7 people want 5 cookies so in total amount they need 35 cookies.

Each box has 12 cookies meaning if they buy 3 they get 36 cookies so they reach the total amount they need and they get 1 extra.

So answer is 3

                    ____

Hope it helps have a great afternoon:)

Answer:

what's the question

Step-by-step explanation:

there is no question written

Answer: -15^2

Step-by-step explanation: It goes down by -225 every time so the exponent form would be -15^2. Just keep on subtracting 225 every number. Add 225 for the 0x only.

Answer:

50.24ftt²

Step-by-step explanation:

surface area of sphere=4πr²

solution

4*3.14*2*2

=50.24ftt²

Answer:

The answer is 1/9 square yard. I hope this helps!

Answer: C. 1/9 sq yd

Step-by-step explanation:

To find the area of a square, you do the side length squared. (1/3)^2 is the same as (1/3) * (1/3). Multiply the numerators together to get 1 * 1 = 1 and the denominators to get 3 * 3 = 9. This gives you 1/9.

Answer:

[tex]y=-\frac{3}{2}x+1[/tex]

Step-by-step explanation:

The equation of a line in slope-intercept form is:

[tex]y=mx+b[/tex]

Each variable represents:

"y" - y coordinate for any point on the line

"m" - slope of the line

"x" - x coordinate for any point on the line

"b" - y-intercept of the line (where the line intercepts the y-axis)

Given:

Slope = -3/2

Passes through (-4, 7) --> x = -4, y=7

Find:

y-intercept

Let's substitute the given information into the equation:

[tex]y=mx+b\\7=-\frac{3}{2}(-4)+b\\7=-\frac{-12}{2}+b\\7=-(-6)+b\\7=6+b\\$Subtract 6 from both sides\\$b=1[/tex]

Therefore the final equation is:

[tex]y=-\frac{3}{2}x+1[/tex]

Answer:

12/10 of pizza

Step-by-step explanation:

just add 9/10 and 3/10 and get 12/10. He ate 12/10 or 1 1/5 of a pizza

Answer:

Part A; Y - intercept = 4 matches,

Part B; y = 2x + 4

Part C; 30 Matches Won

Step-by-step explanation:

13 months is represented by the x - axis, so let us

plug it into the equation that we formulated and

solve for y, the number of matches one;

Answer: x < -3

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

up 2 right 1

Answer:

y=1/2x

Step-by-step explanation:

Since triangle LKJ is similar to triangle LNM,

we know that JK / MN = LK / LN.

JK = 40

MN = 25

LK = LN + KN = LN + 12

LN = ?

Sub these values in and solve for LN...

40 / 25 = (LN + 12) / LN

Simplifying and distributing...

1.6 = 1 + 12 / LN

Subtracting 1 from on both sides...

0.6 = 12 / LN

Multiplying both sides by LN...

0.6 * LN = 12

Dividing both sides by 0.6...

LN = 20

Answer:

1080°

Step-by-step explanation:

the rectangle has 4 sides and 4 angles of 90° angles; when the corners are cut, there are now 8 sides and 8 angles, aka an octogon, which has the total angles of 1080°

Answer:

  A.  25.6 ft

  B.  28.2 ft

Step-by-step explanation:

The triangle inequality tells you the length of any side of a triangle lies between the sum and difference of the lengths of the other two sides:

  43.7 -30.7 < ? < 43.7 +30.7

  13.0 < ? < 74.4

Only two answer choices fall within that range:

  25.6 ft, 28.2 ft

Answer:

y=[tex]\frac{5}{6}[/tex]x-2

Step-by-step explanation:

Using the formula rise/run I calculated the slope. Then I saw the line passes through the point in the y axis -2. So the equation would be y=5/6x-2

Answer:

10 divided by 5

Answer:

60°

Step-by-step explanation:

Given:

QP and QR are tangent segments

∠PCR = 120°

Find:

∠PQR

Tangent lines always intersect a circle at one point. This means that the line from the center of the circle to the point of intersection would be the radius. This also means that the tangent line is perpendicular to the radius of the circle.

Therefore...

∠CPQ=90°

∠CRQ=90°

Using the diagram, we can conclude that Figure CPQR is a quadrilateral. We need to find the sum of the interior angles of the Figure CPQR.

The formula to find the sum of the interior angles of a figure is...

[tex](n-2)\times180[/tex]

Note that n represents the amount of sides the figure has.

In this case Figure CPQR has 4 sides therefore...

[tex](4-2)\times180=2\times180=360^{\circ}[/tex]

Now let's set up an equation to find ∠PQR...

∠PCR + ∠CPQ + ∠CRQ + ∠PQR = 360°

Substitute the measures of the known angles into the equation:

120° + 90° + 90° + ∠PQR = 360°

        120° + 180° + ∠PQR = 360°

                  300° + ∠PQR = 360°

Subtract 300° from both sides

∠PQR = 60°

Answer:

X times 7-5y equals x/2

Answer:

27

Step-by-step explanation:

every 30 men = 9 men with beards

you have 30 3 times in 90 so you get 27

60÷2=30

18÷2=9

30 men normal = 9 men with beards

90÷30=3

3×9=27

Answer:

27 is correct

Step-by-step explanation:

18 out of the last 60 men who walked by had a beard.

based on the given condition formulate

[tex]\boxed{\frac{18}{60}=\frac{x}{90} }[/tex]

[tex]\boxed{60x=18(90)}[/tex]

[tex]\boxed{\frac{18~x~90}{60} }[/tex]

[tex]\boxed{x=27}[/tex]

60÷2=30

18÷2=9

30 men normal = 9 men with beards

90÷30=3

how many of the next 90 men who walk by

you have 30 × 3  = 90 so you get 27

3 × 9 = 27

Therefore the correct answer is 27

Hope this helps!

if you have any queries please ask.

Im going to assume you meant  each lap *Is* 1 3/8 miles.

Answer:

4 1/8

Step-by-step explanation:

If you take 1 and multiply by 3, you get 3. Pretty simple. When you multiply 3/8 by 3, its also easy. You just multiply the top number. 3 times 3=9. So, you have 9/8. And when your top number is equal or greater than your bottom number its more than a whole. So, you have 1 1/8. Then you add the 1 to the 3, and you get 4, you have 1/8 left over, so your answer is 4 1/8

Answer:b

Step-by-step explanation: it’s right because it is