At a sale on winter clothing, Cody bought four pairs of gloves and four hats for $36.00. Tori bought three pairs of gloves and four hats for $31.00. What were the prices for the gloves and hats?​

Answers

Answer 1

Answer:

gloves cost $5

hats cost $4

Step-by-step explanation:

four pairs of gloves and four hats for $36.00

4g + 4h = 36

three pairs of gloves and four hats for $31.00

3g + 4h = 31

-------------------------

Subtract the second equation from the first

  4g + 4h = 36

-( 3g + 4h = 31 )

––––––––––––

   g           = 5

gloves cost $5

substitute for g = 5 into either equation

4(5) + 4h = 36

20 + 4h = 36

Subtract 20 from both sides

4h = 16

Divide both sides by 4

h = 4

hats cost $4


Related Questions

The circumference of a circle is 8.34cm. Find the length of the diameter. Give your answer rounded to 2 DP.

Answers

Answer:

Diameter, D = 2.65 cm

Step-by-step explanation:

Given the following data;

Circumference of circle = 8.34 cm

To find the length of its diameter;

Mathematically, circumference of a circle is equal to;

C = πD

Where;

C is the circumference of a circle.D is the diameter of a circle.Pie, π = 3.142

Substituting into the formula, we have;

8.34 = 3.142 * D

[tex] D = \frac {8.34}{3.142} [/tex]

Diameter, D = 2.65 cm

What is the reciprocal of -3 2/7 ? -3 7/2 -23/7 -7/23 3 2/7​

Answers

Reciprocal of -32/7 = -7/32

Answer:

-32/7 = -7/32

Step-by-step explanation:

Which of the following is an equivalent trig ratio for tan 28

Cos 62

1/ tan 62

1/ tan152

Cos 28

Answers

Answer:

B

Step-by-step explanation:

tan28=tan (90-62)=cot 62=1/tan 62

Adam is refinishing his basement. 30 ft by 50 ft are the dimensions of Adam's rectangular basement. How much tile would he need to cover the floor? If the height of the basement is 6 ft, how much wall area is there to paint?

Answers

Answer:

Area of four walls is 3960 square feet.

Step-by-step explanation:

length, L = 30 ft

Width, W = 50 ft

height, H = 6 ft

The area of walls is

= 2 (L W + W H + H L)

= 2 (30 x 50 + 50 x 6 + 6 x 30)

= 2 (1500 + 300 + 180)

= 3960 square feet

Answer/Step-by-step explanation:

How much tile would he need to cover the floor?

Answer: 1500 Ft^2

If the height of the basement is 6 ft, how much wall area is there to paint?

Answer: 960 Ft^2

7th grade girl!

*(urgent, please help! )*

Answers

For all the angles, you will have to solve for x

A: 162 = 3x

162/3 = x

54 = x

M: 120 + 2x = 180

2x = 180 - 120

2x = 60

x = 60/2

x = 30

W: 150 = 30x

150/30 = x

5 = x

S: 20 + 2x = 90

2x = 90 - 20

x = 70/2

x = 35

Q : 45 + 5x = 90

5x = 90 - 45

x = 45/5

x = 9

P: not too sure if its 150,

150 + (x+5) = 180

x+5 = 180- 150

x = 30 - 5

x = 25

now you will put all the x values in order. ( i think thats what you supposed to do)

it will be: 5, 9, 25, 30, 35, 54

hope this helps♡♡♡

The volume of this cone is 83.7 cubic meters. Find the DIAMETER. SHOW ALL WORK

Answers

There for the diameter is 2(4.8 )= 9.6 ft

Given: Volume of the cone is 83.7 m³

We know that:

[tex]\bigstar \ \ \boxed{\sf{\textsf{Volume of cone is given by} : \dfrac{\pi r^2h}{3}}}[/tex]

where r is the radius of the cone and h is the height of the cone

Given: Height of the cone = 5m

Substituting the values in the formula, we get:

[tex]\sf{\implies \dfrac{\pi r^2(5)}{3} = 83.7}[/tex]

[tex]\sf{\implies \pi r^2 = 83.7 \times \dfrac{3}{5}}[/tex]

[tex]\sf{\implies \pi r^2 = 83.7 \times 0.6}[/tex]

[tex]\sf{\implies \pi r^2 = 50.22}[/tex]

[tex]\sf{\implies r^2 = \dfrac{50.22}{\pi}}[/tex]

[tex]\sf{\implies r^2 = 16}[/tex]

[tex]\sf{\implies r = 4}[/tex]

We know that : Diameter is two times the radius

⇒  Diameter of the Cone is 8 meters

Taxi A charges a fee of $3.50, plus $1.75 per mile. Taxi B charges a few of $1.25, plus $2.00 per mile. At what distance would the taxi cost the same?

Answers

Taxi A
1mile £3.50+£1.75=£5.25
Taxi B
1mile £1.25+£2.00=£3.25

Taxi A
2miles £3.50+£3.50=£7.00
Taxi B
2miles £1.25+£4.00=£5.25

Taxi A
3miles £3.50+£5.25=£8.75
Taxi B
3miles £1.25+£6.00=£7.25

Taxi A
4miles £3.50+£7.00=£10.50
Taxi B
4miles £1.25+£8.00=£9.25

Taxi A
5miles £3.50+£8.75=£12.25
Taxi B
5miles £1.25+£10.00=£11.25

Taxi A
6miles £3.50+£10.50=£14.00
Taxi B
6miles £1.25+£12.00=£13.25

Taxi A
7miles £3.50+£12.25=£15.75
Taxi B
7miles £1.25+£14.00=£15.25

Taxi A
8miles £3.50+£14.00=£17.50
Taxi B
8miles £1.25+£16.00=£17.25

Taxi A
9miles £3.50+£15.75=£19.25 (the same)
Taxi B
9miles £1.25+£18.00=£19.25 (the same)

^^^
They would have to drive 9 miles for the taxi to cost the same.

Hope this helped, this is the longest way to work it out but also the simplest.

What is the length of bc in the right triangle below?

Answers

17

We use the formula a^2+b^2=c^2. In this case, we substitute 8 and 15 into a and b.

8^2+15^2=c^2
64+225=289
Because it has to be squared, we take the square root of 289 which gives us the final answer of 17.
17 is the answer you should use Pythagorean’s theorem like
H²=p²+b²
And keep value of p and b as 8 and 15 then solve it

you stand 25m from the base of a tree and the angle of elevation from the ground to the top of the tree is 48 degrees. How tall is the tree?​

Answers

Answer:

The tree is about 27.77 meters tall

Step-by-step explanation:

I attached a helpful sheet that explains all my work visually.

Ophelia spins each of the three shown spinners once. What is the probability that the first spinner will land on A, the second on 4, and the third on Green? Enter your answer as a fraction in simplest form. Use / to write your fraction.

Answers

Answer:

1 /24

Step-by-step explanation:

Given the 3 spinners :

Probability = required outcome / Total possible outcomes

Probability that Spinner 1 lands on A :

P(spinner 1 lands on A) = 1/2

Probability that spinner 2 lands on 4 :

P(lands on 4) = 1 / 4

Probability that spinner 3 lands on green :

P(lands on green) = 1/3

Combined probability = 1/2 * 1/4 * 1/3 = 1 /24

Frank earned f dollars mowing lawns. Bryce's earnings, b, were $15.25 less than 3.5 times as
much as Frank's earnings. Which of the following equations best represents this situation?
A. b = 3.5f + 15.25
B. f= 3.5b - 15.25
C. b = 3.5f-15.25
D. f = 3.5b + 15.25

Answers

it’s D. f = 3.5b + 15.25

Bonus: double your money! One bank promises they can double your money if you invest
with them. If that were true, and you started with just 1 penny, how many doublings would you
need to reach your pennies to the moon?

Answers

Answer:

Y'all playing with me........right???

put the following equation of a line into slope intercept form simplifying all fractions 10x-2y=6

Answers

Answer:

Slope-Intercept form:   y = m x + b

y = value of y corresponding to value of x

2 y = 10 x - 6

y = 5 x - 3         equation of line where m is the slope and -3 value of y when x                      

                         equals  zero

solve the inequality 2-x<7

Answers

Answer:

x>-5

Step-by-step explanation:

2-x<7

Subtract 2 from each side

2-x-2<7-2

-x<5

Multiply each side by -1, remembering to flip the inequality

x>-5

PLEASE HELPP MEEE ASAPPPPP

Answers

Answer:

D) 24,32,40

Step-by-step explanation:

Sense this is a right triangle, I will use the Pythagorean theorem to solve this problem. Use the following formula: a^2 + b^2 = c^2. 40 would be c. 40 x 40 = 1600. 32 x 32 = 1024.  24 x 24 = 576. Since 576 + 1,024 equals 1600, this means the answer would be D. Remember, that you can only use the Pythagorean Theorem method on right triangles.

1,600 = 576 + 1024.

Note:

Pls notify me if my answer is incorrect, for the other users that will see this message.

-kiniwih426


Sophia drops her pencil in a cup and
notices that it only fits diagonally.
The pencil is 10 centimeters long and the
cup is 8 centimeters tall.
What is the diameter of the cup?

Answers

Answer:

5cm

Step-by-step explanation:

Since the pencil would only fit diagonally, the diameter would have to be half its length. The pencil is 10 centimeters long and 5 centimeters would be half of it.

Note:

Pls notify me if my answer is incorrect for the other users that will see this message. Thank you.

-kiniwih426

please help me (: ALgebra 2!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]\frac{3x+1}{x}, x\neq -1[/tex]

Step-by-step explanation:

We can start by combining the fractions in the numerator. We can multiply them by x/x and x + 1/x + 1 respectively to get a common denominator of x(x + 1).

[tex]\frac{4}{x+1}*\frac{x}{x} +\frac{2}{x} *\frac{x+1}{x+1}\\\\\frac{4x}{x(x+1)}+\frac{2x+2}{x(x+1)}\\\\\frac{6x+2}{x(x+1)}[/tex]

Now we can rewrite an simplify:

[tex]\frac{\frac{6x+2}{x(x+1)} }{\frac{2}{x+1} }\\\\\\\frac{6x+2}{x(x+1)}*\frac{x+1}{2} \\\\\frac{3x+1}{x}[/tex]

The domain would be x ≠ -1 because the starting domain is [tex]x\neq -1; x\neq 0[/tex] and it changed to [tex]x\neq 0[/tex], so for the two fractions to be equal, the domain would be [tex]x\neq -1[/tex].

Find the slope of a line through (4, 5) and (4, -5). Determine if the line is vertical, horizontal, or neither.

Answers

Answer:

Vertical

Slope cannot be determined

Step-by-step explanation:

To find the slope, we are going to use the slope equation as follows

m = (y2-y1)/(x2-x1)

(x1,y1) = (4,5)

(x2,y2) = (4,-5)

m = (-5-5)/(4-4)

This gives an undefined answer and thus we cannot hate the slope value

Looking at the x-axis coordinates, we can see that the difference is just the y axis coordinates and as such we can confirm that the line is vertical

The perimeter of a rectangular painting is 344 centimeters. If the width of the painting is 79 centimeters, what is its width?

Answers

Answer:

the equation is 2(l+w) so we do 2(93+w)=344 getting the answer of 79

Step-by-step explanation:

i think im 100 percent correct i took the test on flvs if I'm wrong just let me know

HELP ME PLEASE DUE SOON!!!!!! WILL MARK BRAINLIEST

Answers

P’Q 4
A’B’ 3
M’N 6 good luck on the rest of ur test :>

If a square table can fit 8 people and a round table can fit 6 people, the equation 150= 8x + 6y , if Y =9 what is the value of x ? The committee needs how many square tables?

Answers

Answer:

The committee needs 12 square tables!

Step-by-step explanation:

[tex]8x+6y=150[/tex]

[tex]y=9[/tex]

[tex]8x+6(9)=150[/tex]

[tex]8x+54=150[/tex]

      [tex]-54[/tex]     [tex]-54[/tex]

[tex]8x=96[/tex]

[tex]/8[/tex]      [tex]/8[/tex]

[tex]x=12[/tex]

Hope this helps!

Câu 4: Cho chiết suất tuyệt đối của nước là n= 4/3 . Một người nhìn một hòn sỏi nhỏ S nằm ở đáy một bể nước sâu 1,2 m theo phương gần vuông góc với mặt nước, thấy ảnh S' nằm cách mặt nước một khoảng bằng

Answers

goodStep-by-step explanation:

If f(x) = \XI + 9 and g(x) = -6, which describes the range of (f + g)(x)?
O (f + g)(x) > 3 for all values of x
O (f + g)(x) < 3 for all values of x
O (f + g)(x) < 6 for all values of x
O (f + g)(x) > 6 for all values of x

Answers

Answer:

the first option

Step-by-step explanation:

well, 9 +(-6) = 3

so the equations last part is changed, but the rest stays the same

The  range of (f + g)(x) is (f + g)(x) > 3 for all values of x.

What is a function?

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Gives are two function, f(x) = |XI + 9 and g(x) = -6, we need to find the range of (f + g)(x),

f(x)=|x|+9 and g(x)= -6

Taking the sum of the functions:

f(x) + g(x) = |x|+9  + (-6)

f(x) + g(x) =  |x|+9 - 6

f(x) + g(x) =   |x|+3

Due to the modulus of x which is positive,

Hence (f + g)(x) is greater to 3 for all values of x

Learn more about functions, click;

https://brainly.com/question/12431044

#SPJ7

If the equation y=-5x+12 is translated up five units, what would the new equation be?

Answers

Answer:

y=-5x+17

Step-by-step explanation:

Answer:

[see below]

Step-by-step explanation:

We would add '5' to the y-intercept (12) to make a translation up 5 units.

y = -5x + 12 + 5

y = -5x + 17

Hope this helps.

Can someone please help me with this I’m stuck on it

Answers

Answer:

B and C. if you got them wrong let me know :3

what is the minimum and maximum of f(x)=-10x^3+6x-2

Answers

Answer:

Minimum: [tex](\frac{\sqrt{5} }{5},-2+\frac{4\sqrt{5} }{5})[/tex]

Maximum: [tex](-\frac{\sqrt{5} }{5} ,-2-\frac{4\sqrt{5} }{5} )[/tex]

Step-by-step explanation:

the dishes have been cleaned by us into active voice​

Answers

Answer:

the dishes sparkled after we washed them.

Step-by-step explanation:

The dishes are clean once you wash them duh

Darius has a 6 month loan for $500. He must pay 5.6% annual interest on the loan. Using the formula for simple interest, I=Prt, where I is interest owed, P is the amount borrowed, r is the rate as a decimal, and t is time in years, find the amount of interest owed by Darius after 6 months

A. $16.80
B. $140
C. $168
D. $14

Answers

This will be B hope this helps

Answer:

14

Step-by-step explanation:

Select the postulate or theorem that you can use to conclude that the triangles are similar.

SAS Similarity Theorem
ASA Similarity Postulate
AA Similarity Postulate
SSS Similarity Theorem

Answers

Answer:

asa similarity postulate

Pls help me with this

Answers

Answer:

5.85

Step-by-step explanation:

100%-> 6.50

100%-10% = 90 %

90%-> 6.50/100 x 90

           =5.85

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