Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Quinn likes to knit hats and mittens for friends and family. Last fall, she knitted 4 hats and 3 pairs of mittens, which took a total of 56 hours. This fall, she knitted 3 hats and 1 pair of mittens, which took a total of 27 hours. If each hat and each pair of mittens takes the same amount of time to knit, how long does it take Quinn to knit a hat and a pair of mittens?

Answers

Answer 1

Answer:

hats = 5

mittens = 12

Step-by-step explanation:

hats = h

mittens = m

Uknown:

- How many hours per hats

- How many hours per mittens

Known:

- How many hours in total

- How many pairs of mittens made

- How many pairs of hats made

4h + 3m = 56

3h + 1m = 27

3h + m = 27

m = -3h + 27

4h + 3m = 56

4h + 3(-3h + 27) = 56

4h - 9h + 81 = 56

-5h = 56 - 81

-5h = -25

-5h/5 = -25/5

-h = -5

-h/-1 = -5/-1

h = 5

3h + m = 27

3(5) + m = 27

15 + m = 27

m = 27 - 15

m = 12

Check: h = 5, m = 12

4h + 3m = 56

3h + 1m = 27

4h + 3m = 56

4(5) + 3(12) = 56

20 + 36 = 56

56 = 56

3h + 1m = 27

3(5) + (12) = 27

15 + 12 = 27

27 = 27


Related Questions

PLEASE HELP ME ITS DUE IN LIKE 10 MINS OMG

Answers

The slope is equal to 5/2.

What is -7x3 =
Need answers asap!

Answers

Answer:

it is -21

Step-by-step explanation:

make it braintliest please

Answer:

-7×3 = -21

Step-by-step explanation:

I hope it helps ❤❤

Write the ordered pair corresponding to the point B.

Answers

Answer:

The ordered pair for point A is (-2, 0). For point B, move to the right 4 units to get an x-coordinate of 4, then move down 3 units to get a y-coordinate of -3. The ordered pair for point B is (4, -3). For point C, move to the right 3 units to get an x-coordinate of 3, then move up 5 units to get a y-coordinate of 5.

Step-by-step explanation:

hope this helps

Answer:

(-2, -3)

Step-by-step explanation:

Mary's Muffins makes 300 muffins on Thursday mornings. On Fridays, they make 10 times as many muffins as they do on Thursdays. How many muffins does Mary's Muffins make on a Friday? *​

Answers

Answer: 3,000

Step-by-step explanation: 300 x 10 = 3000

Answer:

3000

Step-by-step explanation:

300+300=600+300=900+300=1200+300=1500+300=1800+300=2100+300=2400+300=2700+300=3000

MATHH WHIZZES PLZZZ HELPPPPP!!!!!

Answers

Answer:

$7.40

Step-by-step explanation:

785 of 24 is 18.72, 150in = 4.17yrd, 4.117*5 is the minimum whole number that reaches 18.72, 5*1.48=7.40

Answer:

$7.40

Step-by-step explanation:

If the pattern in the table continues when will sales for DVD players equal sales for mobile phones?
answer choices
never
year 2011
year 2010
year 2012

Answers

Answer:

never because they are continually increasing at the same rate without multiplying and dividing

what are the next 3 terms of the sequence-3, -7, -11, -15?​

Answers

Answer: -19, -23, -27

Step-by-step explanation:

You minus/subtract 3 each time to get your next three terms

I NEED HELP ON SIMPLIFYING THIS SOMEONE HELP

Answers

Answer:

I think it is 3^8

Step-by-step explanation:

(3^5)^2

÷

3^-2

3^10

÷

3^-2

=3^8

BRAINLEST answer !!


Find the value of y


Answers

Answer:

6 it's the same as the one next to a and b that's also 6

A quantity with an initial value of 6200 decays continuously at a rate of 5.5% per month. What is the value of the quantity after 4 years, to the nearest hundredth?

Answers

Answer:

410.32

Step-by-step explanation:

Given that the initial quantity, Q= 6200

Decay rate, r = 5.5% per month

So, the value of quantity after 1 month, [tex]q_1 = Q- r \times Q[/tex]

[tex]q_1 = Q(1-r)\cdots(i)[/tex]

The value of quantity after 2 months, [tex]q_2 = q_1- r \times q_1[/tex]

[tex]q_2 = q_1(1-r)[/tex]

From equation (i)

[tex]q_2=Q(1-r)(1-r) \\\\q_2=Q(1-r)^2\cdots(ii)[/tex]

The value of quantity after 3 months, [tex]q_3 = q_2- r \times q_2[/tex]

[tex]q_3 = q_2(1-r)[/tex]

From equation (ii)

[tex]q_3=Q(1-r)^2(1-r)[/tex]

[tex]q_3=Q(1-r)^3[/tex]

Similarly, the value of quantity after n months,

[tex]q_n= Q(1- r)^n[/tex]

As 4 years = 48 months, so puttion n=48 to get the value of quantity after 4 years, we have,

[tex]q_{48}=Q(1-r)^{48}[/tex]

Putting Q=6200 and r=5.5%=0.055, we have

[tex]q_{48}=6200(1-0.055)^{48} \\\\q_{48}=410.32[/tex]

Hence, the value of quantity after 4 years is 410.32.

Answer:

442.44

Step-by-step explanation:

Find the length of side A

Answers

Answer:

D) 4

Step-by-step explanation:

Which system of equations has infinitely many solutions? On a coordinate plane, 2 lines are parallel to each other. On a coordinate plane, 2 lines intersect at (negative 1, 0). On a coordinate plane, a line has a negative slope.

Answers

Answer:

On a coordinate plane, a line has a negative slope

Step-by-step explanation:

If a graph only shows one line, there is an infinite amount of solutions. We need two separate line equations to cross at a point in order to find the solution to the system. However, if a graph shows two parallel lines that never cross, there are no solutions to that systems of equations.

Answer:

The correct answer is the last graph (C).

Step-by-step explanation:

edge 2020

HELP ME PLZZZ This is the only table I don't know,

Answers

Answer:

apples: 6/8 = $0.75 per apple

pears: 1.25/1 = $1.25 per pear

peaches: 1.50/1 = $1.50 per peach

bananas: 4/6 = $0.67 per banana

"price per unit" means that you want to find out how much a single one of the product costs. you figure it out by dividing the price by how many there are.

Step-by-step explanation:

I hope this helps :)

What is the slope-intercept equation of the line whose y-intercept is
8 with slope -5?

Answers

Answer:

y = - 5x + 8

Step-by-step explanation:

Given that :

Intercept = 8

Slope = - 5

Recall, the general. Slope - intercept equation :

y = bx + c

Where;

b = slope ; c = intercept

Plugging the Given slope and intercept values, equation becomes ;

y = - 5x + 8

The sides of three squares can be used to form triangles. The areas of the squares that
form right triangles have a special relationship. The triangle formed in the drawing below is
a right triangle.

What is the value of x, the side length of Square 2?

Answers

X=12 ( I using the pic is easier)

The length of the two legs of a right triangle are 18 cm and 24 cm.
What is the length of the hypotenuse of the triangle?
O A. 30 cm
OB. 36 cm
OC. 42 cm
D. 48 cm

Answers

Answer: 30 cm

Step-by-step explanation: Take note that ^2 means to the second power.

a^2 + b^2 = c^2 (hypotenuse)

18^2 + 24^2 = c^2

324 + 576 = c^2

900 = c^2

To find the length of c you have to find teh square root of 900.

√c^2 = √900

c = 30

The length of the hypotenuse is 30 cm!

Hope this helped!

give the coordinates (1,4) after a translation 3 units up and 2 units to the left.

Answers

Answer:

The coordinates would be (3,7)

help me pass my class .

Answers

Answer:

about 3.6

Step-by-step explanation:

pythagorean theorem

sqrt 13

NEED HELP!!! Answer all of the questions below you will see a link, I would give thanks to anyone that can do this:) If anybody needs any information on how to pull it up, there should be a link that says download Docx if that helps.

Answers

9514 1404 393

Explanation:

1. You are given the statement "A is B". In "if-then" form, it can be written, "if it is A, then it is B."

  If it is broccoli, then it is a vegetable.

__

2. The hypothesis is the "if-" part:

  (If) it is broccoli

__

3. The conclusion is the "then-" part:

  (then) it is a vegetable

__

4. The converse interchanges the hypothesis and conclusion:

  If it is a vegetable, then it is broccoli.

__

5. The converse is false. A potato is a vegetable, but is not broccoli.

__

6. The inverse negates the hypothesis and conclusion:

 If it is not broccoli, it is not a vegetable.

__

7. The inverse is false. A potato is not broccoli, but is a vegetable.

__

8. The contrapositive is the inverse of the converse:

  If it is not a vegetable, it is not broccoli.

__

9. The contrapositive has the same truth value as the original statement. Here, it the contrapositive is true.

How much time has passed?
Start time: 4:45 a.m. End time: 7:25 a.m.

Answers

Answer:

2 hours and 40 mins i think

Step-by-step explanation:

Kiera and her brother, Mitchell, are saving money to adopt a puppy. Kiera currently has $126
and plans to save an additional $14 each week. Mitchell currently has $42 and plans to save
an additional $20 each week.
How many weeks will pass before Kiera and Mitchell have the same amount of money? How
much money will they each have?

In _____
weeks, Kiera and Mitchell will each have $_____

Answers

It will be $20 each week

Answer:

Step-by-step explanation:

Put the following list of numbers in order from smallest to largest.
1. first 28.3
2. second 28.15
3. third 27.068
4. fourth 29.94
5. fifth 28.08

Answers

Answer:
27.068
28.08
28.15
28.30
29.94

In which choice do all three points lie on the same straight line?
A. (0,0) (1, 1) (2, 4)
B. (5, 1) (-3,0) (-1,2)
C. (2, 10) (4.9) (5,8)
D. (0.1) (2,3) (4,5)

Answers

Answer:

D) (0,1) (2,3) (4,5)

Step-by-step explanation:

Explanation

Given Points are  A(0,1) , B(2,3) , C(4,5)

slope of the AB

                  [tex]= \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{3-1}{2-0} =\frac{2}{2} =1[/tex]

Slope of BC

                [tex]= \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{5-3}{4-2} =\frac{2}{2} =1[/tex]

Therefore slope of AB and BC are equal

The three points lie on same straight line

The three points are collinear points

√50X3√2=?? help please

Answers

30, i don’t have the explanation i just remember this equation from Algebra 2 for some odd reason

Which statements verify that the solution set to |x + 3| < 5 is –8 < x < 2? Check all that apply.

1. Substituting a value into the inequality from the solution set, such as –2, will create a true statement.
2. Substituting a value into the inequality from the solution set, such as 1, will create a false statement.
3. Substituting a value into the inequality not from the solution set, such as 4, will create a true statement.
4. Substituting a value into the inequality not from the solution set, such as 6, will create a false statement.
5. Substituting any value into the inequality will create a true statement.

Answers

Answer:

1 and 4

Step-by-step explanation:

Answer:

1 and 4

Step-by-step explanation:

Only true statements out of the option

ANSWER NOW AND YOU GET 12 and ill answer one of ur questions

Answers

Answer Im going to geuss the last, Im not sure but it looks right.

Step-by-step explanation: heres my question-->  https://brainly.com/question/20473783

Which expression is not equivalent to 3x-2

Answers

Answer: Let's simplify step-by-step.

3x−2

There are no like terms.

So it going to be the same, =3x-2

Step-by-step explanation: hope you understand

Answer:

2x + 2 + x

Step-by-step explanation:

FMFWE,KFJWKJWKLEJWLKERJWLKRJLWKERJLWRJLWRJLWERJWERJWLKRJWERJWLE

Answers

Step-by-step explanation:

Is this some typing error? Please retype your question for assistance

Jordan's pet grooming business has a monthly cost function of C = $12p + $2100. His Revenue is given by the function R = $62p, where C is the total cost per month, R is the total revenue he receives each month and x is the number of pets he grooms in a month. How many pets must he groom each month to break even?

Answers

Answer:

Step-by-step explanation:

.

ASAP! please help, thanks​

Answers

Answer:

d should be correct

Step-by-step explanation:

prove me wrong

d is the right answer
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