Paula knits hats. The number of hats h she can knit varies directly with the amount of yarn (y) in yards she has. What does the constant of proportionality, 42, represent in this situation? The constant of proportionality is 42.

Answers

Answer 1

Answer:

y=42h  or h=y/42

Step-by-step explanation:

The constant would be the number of yards of yarn required for each hat .


Related Questions

Given: △ABC, m∠A=60°
m∠C=45°, AB = 9
Find: Perimeter of △ABC
Area of △ABC
Please don't use trig

Answers

Answer:

Perimeter of ΔABC =32.31 units

Area of the triangle ABC = 47.81 sq. unit

Step-by-step explanation:

In triangle ABC

[tex]\angle A = 60^{\circ}\\\angle C = 45^{\circ}[/tex]

Angle sum property of triangle : The sum of the measures of the all angles of triangle is 180°

[tex]\angle A + \angle B + \angle C = 180^{\circ}\\60 + \angle B + 45 = 180\\\angle B + 105 = 180\\\angle B = 75^{\circ}[/tex]

Now we are supposed to find the perimeter and the area of the ΔABC

We will use the sine rule to find the lengths of sides BC and AC

Sine rule : [tex]\frac{Sin A}{BC}=\frac{Sin B}{AC}=\frac{Sin C}{AB}[/tex]

[tex]\frac{Sin 60}{BC}=\frac{Sin 75}{AC}=\frac{Sin 45}{9}\\BC \times sin(45) = 9 \times sin(60)\\ BC = 11.02[/tex]

[tex]AC \times sin(45) = 9 \times sin(75)[/tex]

AC = 12.29

Perimeter of ΔABC = AB + BC + AC

Perimeter of ΔABC = 9 + 11.02 + 12.29 =32.31 units

Area by using the sine rule:

Area of the triangle ABC =[tex]\frac{1}{2} (AB)(BC) sin B[/tex]

Area of the triangle ABC =[tex]\frac{1}{2} (9)(11) sin(75)[/tex]

 Area of the triangle ABC = 47.81 sq. unit

Lines k and l are parallel. When lines k and l are cut by the transversals below, an isosceles triangle is formed. Lines k and l are parallel. Lines s and t intersect lines k and l to form a triangle. At the intersection of lines s, t, and k, clockwise from top left, the angles are blank, blank, blank, 70 degrees, 1, blank. At the intersection of lines s and l, the angles are blank, x degrees, blank, blank. At the intersection of lines l and t, the angles are x degrees, blank, blank, blank. What is Measure of angle 1? 35 degrees 40 degrees 55 degrees 70 degrees

Answers

Answer:

its 48

Step-by-step explanation:

Answer:

it's 40

Step-by-step explenation

dont need one the people have brains

4 + 3 (3 × 2)² - 1

how do I set up the account?​

Answers

Answer:

4+(9*6)^2-1

Step-by-step explanation:

What percent of all children like the Simpsons? Round your answer to the nearest tenth of a percent. Type a numerical answer.

Answers

Answer:

0.3

Step-by-step explanation:

You know the total amount of children like simpsons are 90, and the total can be calculated by adding the 100+110+90 to get the total amount of children in all groups. You then can divide 90 by 300 to get the percent.

Hope this helps!

I think that chart is a bit overdue or inaccurate xd

Solve and graph 8(p+3)>2(4p-1)

Answers

Was my answer correct...!?

Seven friends bought pizza. Each friend pitched in the same amount. If the pizza came to a total of $14.49, how much did each friend pay?

Answers

each friend payed $2.07

Answer: 7p = $14.49

Step-by-step explanation: BRAINLIEST MEEE

A local pizza restaurant offers a gold card for loyal customers. The gold card costs $25 for a year. With a gold card, each large pizza is a discounted cost of $12. If customers don’t have a gold card, a large pizza costs $18. How many pizzas must you purchase in a year for the gold card to be cheaper?

Answers

Answer:

5 pizzas

Step-by-step explanation:

18-12=6 each pizza with card saves 6$

$25 card cost÷$6 savings per pizza=4.16 pizza to break even. round up since cant buy fraction of pizza.

check

5 pizza with card 12 *5=60

60 + 25 = 85 spent in total

$5 *$18 = $90, no discount

4 pizza would be 73 with discount and 72 without

Olivia buys 4 masks that each cost the same amount
and a scarecrow, all for $176.75. If the scarecrow
costs $56.75, find out the cost of each mask cost.

Answers

Answer: $30.00 for each mask
Hope this helped!! :)
PLEASE MARK AS BRAINLIEST!

Given the function f(x) = 3x-7, which of the following represents f -1(x)?

Answers

-3x+7

Step-by-step explanation:

The entire function f is being multiplied by -1, -1 isn't being plugged in for x in this case.

f -1(x)= -1(3x-7)

f -1(x)= -3x+7

Percentages
Your favorite store is having a sale. You run across a shirt that originally sold for $47, but
is on a -40% Off" rack. A pair of jeans that originally
sold for $60 is advertised for "30%
Off". Your eye is attracted to a pair of designer shoes on sale for $35. You decide to
purchase the shirt, jeans, and shoes.
1) What is the sale price of the shirt?
What is the sale price of
the jeans?
2) What is the subtotal of the shirt, jeans, and the shoes?
3) You discover a coupon for 25% off the purchase price and give it to the cashier. With
the 25% off coupon what is the pre-tax cost of your purchase?
4) If the sales tax on your purchase is 5%, what is the total amount you are charged?
5) Your credit card has a monthly interest rate of 2% and a minimum payment of $10. You
make the minimum payment every month. Fill in the chart below until you pay off your
purchase.
Payment
Balance
$10.00
New Balance
Interest
Remaining
Balance
Month
1
2
3
4
5
6
7
8
9
10

Answers

Answer:

1) Shirt = $28.20  Jeans = $42

2) subtotal = $105.20

3) with the discount from the coupon, the pre-tax cost is $83.90

4) about $ 88.10 (actual answer was $88.095)

5) i have no clue bro, im sorry

Step-by-step explanation:

The sale price of the shirt  is [tex]\$28.20[/tex] The sale price of the jeans  [tex]\$42.00[/tex] Subtotal is [tex]\$[/tex]105.20 Pre-tax cost  [tex]\$78.90[/tex] The total amount charged with 5% sales tax is  [tex]\$42.00[/tex]

The sale price of the shirt:

Given -The original price of the shirt is $47, and it is on a "40% Off" sale. To find the sale price, we can calculate [tex]40\% of \$47[/tex]and subtract it from the original price:

The sale price of the shirt = [tex]\$47 - (40\% \times\$47)[/tex]

The sale price of the shirt =[tex]\$47 - (\$18.80)[/tex]

The sale price of the shirt =[tex]\$28.20[/tex]

The sale price of the jeans:

Given =The original price of the jeans is $60, and it is advertised as "30% Off." Similar to the shirt, we can calculate the sale price of the jeans:

The sale price of the jeans =[tex]\$60 - (30\% \times\$60)[/tex]

The sale price of the jeans =[tex]\$60 - (\$18.00)[/tex]

The sale price of the jeans = [tex]\$42.00[/tex]

Subtotal of the shirt, jeans, and shoes:

Subtotal = Sale price of the shirt + Sale price of the jeans + Sale price of the shoes

Subtotal = [tex]\$[/tex]28.20 + [tex]\$[/tex]42.00 +[tex]\$[/tex]35.00

Subtotal =[tex]\$[/tex]105.20

The pre-tax cost of your purchase with the[tex]25\%[/tex] off coupon:

The 25% off coupon is applied to the subtotal. We calculate 25% of the subtotal and subtract it from the subtotal to find the pre-tax cost:

Pre-tax cost = Subtotal -[tex](25\% \times Subtotal)[/tex]

Pre-tax cost = [tex]\$105.20 - (25\% \times \$105.20)\\[/tex]

Pre-tax cost =[tex]\$105.20 - (\$26.30)[/tex]

Pre-tax cost = [tex]\$78.90[/tex]

The total amount charged with 5% sales tax:

To calculate the total amount charged, we need to add the sales tax to the pre-tax cost:

Sales tax = [tex]5\% \times Pre-tax cost[/tex]

The Total amount charged = Pre-tax cost + Sales tax

The Total amount charged =[tex]\$78.90 + (5\% \times \$78.90)[/tex]

The total amount charged = [tex]\$78.90 + \$3.94[/tex]

The total amount charged =[tex]\$82.84[/tex]

The credit card payments for months are;

Payment | Balance | New Balance | Interest | Remaining Balance

Month 1 |    $10.00 | $72.84 |   $1.46 |  $71.46

Month 2 |    $10.00 | $61.46 | $1.23 | $60.69

Month 3 |  $10.00 | $50.69 | $1.01 | $49.70

Month 4 |   $10.00 | $39.70 | $0.79 | $38.49

Month 5 |   $10.00 | $28.49 | $0.57 | $27.06

Month 6 |    $10.00 | $17.06 | $0.34 | $16.40

Month 7 |    $10.00 | $6.40 | $0.13 | $6.53

Month 8 |   $6.53 | $0.00 | $0.00 | $0.00

The remaining balance is paid off in full by the 8th month, and the interest is calculated based on the remaining balance each month.

Learn more about sales tax here :

https://brainly.com/question/29442509

#SPJ2

The larger of two numbers is one more than four times the smaller number . If the sum of the numbers is 61, find the numbers.

Answers

Step-by-step explanation:

Let the smaller number be x.

So, according to Question,

the larger number will be 1+4x.

Now, sum of the numbers is 61, like this:-

[tex]1 + 4x + x = 61[/tex]

[tex]5x = 61 - 1[/tex]

[tex]5x = 60[/tex]

[tex]\tt{x = \dfrac{60}{5}}[/tex]

[tex]\boxed{\tt{x = 12}}[/tex] is the required Answer.

Hope it helps :)

Write an explicit rule to represent the sequence:

20, 24, 28, 32, 36,...

Answers

Answer:

add 4

Step-by-step explanation:

every number is +4 ..

The linear function that is represented by which table has the same slope as the graph?

Answers

Answer:

c

Step-by-step explanation:

Answer: Option C

(C) or Taable 3

Step-by-step explanation:

simplify

(x+4)−(x−1)

Answers

(x+4)−(x−1) simplified = 5

Answer:

5

Step-by-step explanation:

[tex](x+4)−(x−1)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=x+4-\left(x-1\right)\\\\-\left(x-1\right):\quad -x+1\\=x+4-x+1\\\\\mathrm{Simplify}\:x+4-x+1:\\\quad 5\\\\[/tex]

I need help with number 8

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The square roots are approximately ...

  √5 ≈ 2.23

  √17 ≈ 4.12

  √56 ≈ 7.48

  √88 ≈ 9.38

  √118 ≈ 10.86

These are plotted below.

Here’s the correct answer. Hope this helps. Mark me as the brainliest

(-4x + 5)-( 6x +7)=0

Answers

Answer:

x = -1/5

Step-by-step explanation:

*Steps as a proof*

_________

(-4x + 5)-(6x + 7) = 0

[given]

_____________

1(-4x + 5)-1(6x + 7) = 0 [identity property of multiplication]

1(-4x + 5) + -1(6x + 7) = 0. [additive inverse property]

___________________________________

1(-4x + 5) + -1(6x) + -1(7) = 0 [distributive property]

___________________________________

(-4x + 5) + (-6x - 7) = 0 [multiplying anything by 1 is the same]

___________________________________

(-4x + -6x) + (5 + -7) = 0 [associative property of addition]

_____________________________________

-4x + -6x + (5 + -7) = 0 [subtraction property of equality] - (5 + -7). - (5 + -7)

_______________________

-4x + -6x = -(5 + -7) [simplification]

-4x + 6x = -1(5 + -7) [identity property of multiplication]

-4x + -6x = -1(5) + -1(-7) [distributive property]

-4x + -6x = -5 + 7 [simplification]

-4x + -6x = 2 [simplification]

-10x = 2 [division property of equality]

÷10 ÷10

______

-x = 2/10 [negative one property of multiplication]

×-1 ×-1

x = -2/10 [simplification]

x = -1/5 [simplification]

__________________________

If leah has 22 boxes she gives 12 boxes to her mom how many boxes does leah have left

Answers

Subtract the amount she gives her mom from the total amount she has:

22 - 12 = 10

She has 10 boxes left.

If you can walk 5.3 miles in 3.2 hours, how many minutes does it take to walk 1.74 miles?

Answers

Answer:

Let x be the number of hours for 1.74 miles

5.3 miles         3.2 hours

1.74 miles        x

When you cross multiply the above numbers you get the equation:

5.3x = 5.568

x = 5.568/5.3

x = 1.05

Therefore it takes 1.05 hours to walk 1.74 miles.

Henry wants to buy the same number of gift bags and bows. Gift bags are sold in packs of 6. Bows are sold in packs of 9. What is the least number of gift bags and bows that George can buy?

Answers

Answer:

Henry will buy 18 gift bags and 18 bows in 3 packs of gift bags and 2 packs of bows.

Step-by-step explanation:

Least Common Multiple (LCM)

Is the smallest positive number that is a multiple of two or more numbers. To find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number.

Since Henry wants to buy the same number of gift bags and bows and they are sold in packs with different quantities, we must find the LCM between those numbers.

Gift bags are sold in packs of 6. Bows are sold in packs of 9.

List the prime factors of 6: 2,3

List the prime factors of 9: 3,3

Multiply: 2*3*3=18

The  LCM is 18. This means Henry will buy 18 gift bags and 18 bows in 3 packs of gift bags and 2 packs of bows.

The keyboard on a particular computer has a rectangular shape where the length is 332 mm and the width is 141 mm. Find the perimeter of the rectangle defined by this keyboard.

Answers

Answer:

946 mm

Step-by-step explanation:

(332*2)+(141*2)

This Question !!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

X= 800
Use the equation x+x+200+200=2000
2x+400=2000
-400 -400
—————————
2x=1600
—- ——-
2. 2
—————————-
X=800

Answer:

x=800

Step-by-step explanation:

2000=all sides

two sides are 200 &200 =400

the other two are 2000-400=1600

1600/2=800 each

HELPPP I GIVE BRAINLIEST FOR THIS ANSWER PLSSS

Answers

Answer:

Yes

Step-by-step explanation:

The lines in question have no degree angle to them. Don't let the line in the middle confuse you!

Hope this helps!

The scale on a map js 1cm : 6.6 km the distance between two cities on the map is 18cm what is the actual distance between the two cities

Answers

Answer:

118.8 km

Step-by-step explanation:

Given

The scale 1 cm : 6.6 km

To find

18 cm

Solution

1 cm ⇔ 6.6 km1*18 cm ⇔ 6.6*18 km 18 cm ⇔ 118.8 km

SOLVE FOR D
S=D/T
THANK YOU

Answers

S(T)=D, you are multiplying (using inverse operation) D/T by T to get D by itself

What is the distance between 2 and 3 on the number line? Write the integer only. *

Answers

Answer:

  1

Step-by-step explanation:

The distance between any two numbers on the number line is their difference:

  3 - 2 = 1

_____

Any two consecutive integers have a distance between them of 1 on the number line.

Find the missing factor.
80 X
640.000

Answers

The answer is 8.
640 / 80 =. 8
80 x 8 =. 640

A rotation maps point A(5, 4) to A’(–4, 5).

Which describes the rotation?
180° clockwise rotation
180° counterclockwise rotation
90° counterclockwise rotation
90° clockwise rotation

Answers

Answer:

90° counterclockwise rotation

Step-by-step explanation:

I just took the quiz and got it correct,

Hope this helps.

Answer:

answer above is correct

Step-by-step explanation:

Which expression is equivalent to 2(3x-8)?​

Answers

Answer:

6x-16

Step-by-step explanation:

2(3x-8)

distribute the 2

2 x 3x = 6x

2 x -8 = -16

What is the area of the triangle below?

Answers

Answer:The area of the triangle is given by the formula mentioned below: Area of a Triangle = A = ½ (b × h) square units where b and h are the base and height of the triangle, respectively. Now, let’s see how to calculate the area of a triangle using the given formula.

Step-by-step explanation:

Find the slope containing the two points (2,-1) and (4,-4)

Answers

Answer:

-5/2

Step-by-step explanation:

You have to take y2-y1 and divide it by x2-x1

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