Kaelyn has some yarn that she wants to use to make hats and scarves. Each hat uses 0.20.20, point, 2 kilograms of yarn and each scarf uses 0.10.10, point, 1 kilograms of yarn. Kaelyn wants to make 333 times as many scarves as hats and use 555 kilograms of yarn. Let hhh be the number of hats Kaelyn makes and sss be the number of scarves she makes. Which system of equations represents this situation?

Answers

Answer 1

Answer:

s = 3h

0.1s + 0.2h = 5

h = 10

s = 30

Step-by-step explanation:

Given that :

Hat :

0.2kg of yarn

Let Number of hats = h

Kg of yarn used for hat = 0.2 * h = 0.2h

Scarf:

0.1 kg of yarn

Number of scarves (s) = s

Kg of yarn used for scarf = 0.1 * s = 0.1s

Total kg of yarn used = 5 kg

Number of Scarf = 3 times number of hats :

s = 3h - - (1)

0.1s + 0.2h = 5 - - (2)

From 1:

0.1(3h) + 0.2h = 5

0.3h + 0.2h = 5

0.5h = 5

h = 10

s = 3h

s = 3(10) = 30


Related Questions

What is the value of x in the equation ? (image below)

Answers

Answer: 2

Step-by-step explanation:

2.5(6x-4)=10+4(1.5+0.5x) [Work out the brackets]

15x-10=0+6+2x [Solve]

15x-10=16+2x [Convey the terms]

15x-2x=16+10 [Add up the same terms and calculate]

13x=26 [Divide both parts]

x=2

Answer:

x = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

2.5(6x - 4) = 10 + 4(1.5 + 0.5x)

Step 2: Solve for x

Distribute:                                   15x - 10 = 10 + 6 + 2xCombine like terms:                   15x - 10 = 16 + 2xSubtract 2x on both sides:        13x - 10 = 16Add 10 to both sides:                 13x = 26Divide both sides by 13:             x = 2

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    2.5(6(2) - 4) = 10 + 4(1.5 + 0.5(2))Multiply:                               2.5(12 - 4) = 10 + 4(1.5 + 1)Subtract/Add:                      2.5(8) = 10 + 4(2.5)Multiply:                               20 = 10 + 10Add:                                     20 = 20

Here we see that 20 does indeed equal 20.

∴ x = 2 is a solution of the equation.

Shopping: Discounts
Situation: You want to buy three books that are on sale at 20% off. The original prices of the books are $2.50, $4.95, and $6.00. How much will you save?
Calculation With Distribution property. Show all work

Answers

Answer:

2.69

Step-by-step explanation:

a leak is slowly draining water from a pool containing 324 gallons of water. How much water is remaining after 8 hours if it leaks 7 gallons per hour

Answers

268 gallons are remaining. The equation would be y=324-7x, with x being 8. 7(8) is 56, and then you take away 56 from 324, which then gives you 268 gallons remaining

An office supply store carries an all-in-one printer with a regular price of $240. The printer is on sale at 15% off. The sales tax is 5%. If the customer uses a $20 gift card, how much of the purchase price remains?

Answers

Answer:

I'm pretty sure it's $193.20

What is the Celsius temperature for 144 degrees Kelvin

Answers

-129.15 degrees in Celsius

Answer:

144°K=-129.15°C

share £30 in the ratio 1:2

Answers

Answer:

10:20

Step-by-step explanation:

I dont really know how to explain this but i beileve its 10:20

What is the equation of the graph [tex]y=x^3[/tex] under a vertical stretch by the factor 2 followed by a horizontal translation 3 units to the left and then a vertical translation 4 units down?

a.) [tex]y=2(x+3)^3+4[/tex]
b.) [tex]y=2(x-3)^3+4[/tex]
c.) [tex]y=2(x+3)^3-4[/tex]
d.) [tex]y=2(x-3)^3-4[/tex]

Answers

Answer:

C. y = 2 (x + 3)³ − 4

Step-by-step explanation:

y = x³

Stretch vertically by 2.

y = 2x³

Shift horizontally 3 units to the left.

y = 2 (x + 3)³

Shift vertically 4 units down.

y = 2 (x + 3)³ − 4

A meteorologist used the expression below to describe how the temperature changed.

Negative 5 + (negative 4)

Which statement could describe how the temperature changed?
The temperature was –5 degrees, then it increased 4 degrees.
The temperature was –5 degrees, then it decreased 4 degrees.
The temperature was 5 degrees, then it increased 4 degrees.
The temperature was 5 degrees, then it decreased 4 degrees.

Answers

the answer would be 96 because it says in the page 91 so divide it togwthernyoubwill get 96

Answer: the answer is C

Step-by-step explanation:

please answer need help on quiz will give brainliest answer

Answers

Answer:

A. (3,0) min

Step-by-step explanation:

Have a great day!

I'll GIVE BRAINLIEST!!
PLEASE HELP IF YOUR GOOD AT MATH!! I NEED THIS RIGHT NOW

Answers

Answer:

M=-7 and n= the square root of 2

Step-by-step explanation:

integers are counting numbers (1,2,3,4, etc.) that can be negative. irrational numbers' decimals go on and on and on, like 4.1946183538 and dont repeat, im pretty sure

Solve the inequality:
9-47 > 5
a.
b.
> 1
<-4
<1
C.
d. r <-1

Answers

Answer:

b

Step-by-step explanation:

Answer:

r < 1

-

1. Move the constant to the right

9- 4r > 5

2. Calculate

-4r > 5 - 9

3. Divide both sides

-4r > -4

4. Solution

r < 1

X (0,6) y (-3,15) what are the slope and y intercept

Answers

Answer:

y = -3/9x + 6

Step-by-step explanation:

slope = -3/9x

y-intercept = 6

Pleased help please please please please.

Answers

Answer:

40

Step-by-step explanation:

answer these questions
1.You have $6.96.You buy 6 items the cost $0.79 each.How much money do you have left?
2.How many 0.25 burgers can you make with 5.5 Ibs. of ground beef?
3. Find the next two numbers in the pattern. -96,48,-24,12....
100 points

Answers

Answer:

1) $2.22

2) 22 burgers

3) -6, 3

Step-by-step explanation:

Question 1:

6 x 0.79 = 4.74

$6.96 - $4.74 = $2.22

Question 2:

5.5 / 0.25 = 22

Question 3:

Each time the number divides by negative 2

12 / -2 = -6

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6. What is the distance between two points
with coordinates at (840) and (20,5)?
A 35.3
C 47
B 37
D 54.1

Answers

Answer:

Step-by-step explanation:

h

Answer:

37

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

15x-15

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Answer:

Step-by-step explanation:

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Answers

Answer:

4 or 4/1 (both the same thing just with plotting point writing 4/1 is easier for me so I know to go up 4 over 1 :) )

Step-by-step explanation:

Parallel lines have the same slope, so both lines will have the same slope. Use line 1’s points to find the slope with the formula

(y1-y2)/(x1-x2)

(5-1)/(-2-(-3)

4/1=4

The cost for a box of cereal is $1.25. The store is selling the box of cereal for 1 point
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Answers

:

Ss

Step-by-step explanation:

please help ill give brainliest

Answers

Answer:

d

Step-by-step explanation:

all of the others are no solution or multiple find them by eliminating variabls

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Which is most likely the equation for the curre of best fit for the relationship?

Answers

That way the dog the cat smells like a truck with a dog

Enlarge the rectangle.

When a figure is enlarged, the scale factor must be ____
Less than 0
Between 0 and 1
Greater than 1

Reduce the rectangle.

When a figure is reduced, the scale factor must be ____
Less than 0
Between 0 and 1
Greater than 1

Answers

Answer:

1: greater than 1

2:between 0 and 1

Step-by-step explanation:

Answer:

1: greater than 1

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

b

Step-by-step explanation:

In the figure shown, which composition of rigid motions will map one triangle onto the other?
A. a glide reflection
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C. two translations
D. a rotation followed by a translation

Answers

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A rotation followed by a translation describes the given transformation. Option D is correct.

Given that,
In the figure shown, which composition of rigid motions will map one triangle onto the other is to be discussed

What is the triangle?

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

here,
A figure has shown,
Two triangles is given which are similar,
For the required trasformation one triangle is required to rotate following a certain translation,

Thus, a rotation followed by a translation describes the given transformation. Option D is correct.

Learn more about triangles here:
https://brainly.com/question/2773823

#SPJ3

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Answers

Answer:

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Step-by-step explanation:

Answer:

(-5,12)

Step-by-step explanation:

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jack is 2 years older than bob how old was bob when jack was 1

Answers

Answer:

uhhhh not born -1 year

Step-by-step explanation:

jack is 2 years older than bob jack is on so bob would not have been born yet

Point A is a representation of which number on the number line?
А
С
D
.
0
2
ОО

Answers

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Answer:

its -3

Step-by-step explanation:

i take the quiz

NEED HELP ASAP, WILL GIVE BRAINLIEST

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a.
0.2, 0.04

b.
1.4, 0.0112

c.
35, 7

d.
131.25, 65.625

Answers

Answer:

The answer is C. 35, 7

Find the vertex of the given function.
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Answers

Answer:

There is no vertex for this function since this is a slope formula. A vertex only occurs when there is a maximum or minumum of a given function, for example the quadratic formula with an x^2.

Step-by-step explanation:

what are the measures of <1 and <2?

Answers

Answer:B

Step-by-step explanation:

the answer would be b
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