The owner of a discount clothing store ordered six belts and eight hats for $140. A
week later, at the same prices, he bought nine belts and six hats for $132. Find the
price of a belt and a hat.

Answers

Answer 1
Let b = the price of the belt
h = the price of the hat
Equation 1
6b + 8h = 140
Equation 2
9b + 6h = 132
Multiply equation 1 by 1.5
1.5(6b + 8h = 140)
9b +12h = 210
Subtract by equation 2
9b-9b +12h-6h = 210-132
6h = 78
h = 13
Substitute h = 13 in equation 1
6b + 8*13 = 140
6b = 140 - 104
6b = 36
b = 6
The price of the hat is $13.00 each
The price of the belt is $6.00 each

Related Questions

A plane is traveling at a constant speed of K miles per hour. Which coordinate is
represented on the graph?


A. 1,K
B. K,K
C. K,1

Brainly

Answers

Answer:

Option (A)

Step-by-step explanation:

Plane is travelling at a constant speed = K miles per hour

K = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]

Distance = k(Time)

For Time of traveling = 1 hour

Distance traveled = k × 1

                              = k miles

Therefore, k miles will be traveled in one 1 hour and ordered pairs of the given point on the line will be (1, k)

Option (A) will be the correct option.

Carly has some rope to mark off a rectangular area of grass for a field day game. The rectangle needs to be 6 feet wide. Which expression represents how much rope Carly needs if the rectangle is g feet long?

Answers

Answer:

B ) 2 g + 12

Step-by-step explanation:

what is 0.3 + 0.27 is it 30?

Answers

Answer:

0.3+0.27=0.57

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

0.3-0.27=0.57

hope this helps :3

if it did pls mark brainliest

The fourth graders are going on a field trip to the Zoo. There are 83 students in the fourth grade. If tickets cost $26 each, how much will the field trip cost?

Answers

Answer:

Total trip cost = $2,158

Step-by-step explanation:

Given:

Cost of each ticket = $26

Number of student = 83

Find:

Total trip cost

Computation:

Total trip cost = Cost of each ticket x Number of student

Total trip cost = $26 x 83

Total trip cost = $2,158

from the diagram, identify a pair of corresponding angles

i need helppp!

Answers

Answer:

2 and 6, 1 and 5

Step-by-step explanation:

Answer:

1&5

Step-by-step explanation:

A teacher is buying bags of chips for a grade-level picnic. The teacher wants to spend at most $36 on chips.Each bag of costs 2.95.

Which inequality represents the number of bags of chips,x, the teacher can purchase?​

Answers

It would be y=2.95x+36

An inequality that represents the number of bags of chips, x, the teacher can purchase is [tex]2.95x \leq 36[/tex].

Let the number of bags of chips be x.

Given the following data:

Total amount spent = $36Cost of each bag of chips = $2.95

To write an inequality that represents the number of bags of chips, x, the teacher can purchase:

In this exercise, you're required to write a mathematical expression to represent the total number of bags of chips (x) that a teacher can purchase without exceeding his or her budget of $36.

Translating the word problem into an algebraic expression, we have;

[tex]2.95x \leq 36[/tex]

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Jenna is putting a ribbon around the border of a square frame. The area of the frame is 196 square inches. How long will the ribbon need to be in order to go around the whole frame?

Answers

Answer: 56 inches

Step-by-step explanation:

Given that:

Area of square frame = 196 in²

Area of a square = a²

Where a = side length

Hence side length (a) of the square :

a² = 196

a = √196

a = 14

To find the length of the ribbon required :

Find the perimeter of the square :

Perimeter of a square = 4a

= 4 * 14

= 56 inches

Triangle ABC has vertices at A (1,-3), B (3,0)x and C (5,-3). What is the distance from vertex B to the midpoint of AC?

Answers

Answer:

The distance from vertex B to the midpoint of AC is 3 units

Step-by-step explanation:

we are given a triangle with vertices  A (1,-3), B (3,0) and C (5,-3).

Mid point of of AC  (x,y) =  ( 1+5/2 , -3 -3/2)

                                     = ( 6/2 , -6/2)

                                     = (3 , -3)

Distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

                              = [tex]\sqrt{(3-3)^2 + (0 + 3) ^2}[/tex]

                               = [tex]\sqrt{(3)^2}[/tex]

                                = 3 units

Whats the answer for number 3?

Answers

Answer:

B. There are no discounts or charges per month.

Step-by-step explanation:

Hope this helps. Pls give brainliest.

so ive been trying to figure this out but i cant!

Answers

Answer:

This is a linear graph.

Step-by-step explanation:

Since the x values increase at a constant of 1. The y-values have a 1st difference of -4 which means the graph is linear.

i think it is y=-4x+-3

Joshua ran 1.45 miles, and Jasmine ran 1.5 miles who Ran Farther?

Answers

Jasmine ran faster because 1.45 is less than 1.50 which can also be written as 1.5

Answer:

Jasmine

Step-by-step explanation:

FRER POINTS ANSWR NOW........

Answers

Answer:

Hey I’m early and actually get points

Step-by-step explanation:

what is the number if 50% of 25% of the number is 96

Answers

Let n = the number we need to find.

0.50(0.25)n = 96

0.125n = 96

Can you finish?

The number if 50% of 25% of the number is 96 is 768

Let the unknown number be x

50% of 25% of the number is expressed as 0.5(0.25)x

0.5(0.25)x = 0.125x

Equating the result to 96 will give;

0.125x = 96

Divide both sides by 0.125

0.125x/0.125 = 96/0.125

x = 96/0.125

x = 768

Hence the number if 50% of 25% of the number is 96 is 768

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Given the two points (0,4) and (2, 6), what would the numerator of the equation for slope be?

2 - 0
6 - 2
2 - 4
6 - 4

Answers

6-4 because the equation for slope is m=y2-y1/x2-x1

Answer:

6-4

Step-by-step explanation:

You got the 6 from the (2, 6) and you got the 4 from the (0, 4). The numerator is always (I think) the second number.

Hope this helps!!

A banker earns a $75,000 annual salary, a 2,35% commission on any approved loans for the bank’s business customers, and a fee of $3.75 for each application processed. If the banker has a total of 2.8 million in approved business loans and processes 2,750 applications this year, what are the banker’s earnings rounded to the nearest dollar ??

Answers

Answer:

Amount earned = $151,113

Step-by-step explanation:

Here, we are interested in calculating the banker’s earnings rounded to the nearest dollar;

We proceed as follows; we have the following;

1. Annual salary of $75,000

2. 2.35% on approved loans.

Approved loans = 2.8 million

Commission = 2.35/100 * 2.8 million = $65,800

3. $3.75 for each processed loan application

Total = 2750

Amount = 3.75 * 2750 = $10,312.50

Total amount earned is thus;

$75,000 + $65,800 + $10,312.50 = 151,112.5 = 151,113 to the nearest dollar

3x^2−18x+12=0 by completing the square

Answers

Answer:

mark me brailist if it helped

The smiths previously lived in a house that had 1450 sq ft of space. The sq ft of their new home is 3800 sq ft. What is the percent increase of their living space?

Answers

Answer:

162.1%

Step-by-step explanation:

Given that:

Size of previous living space = 1450 sq ft

Size of new living space = 3800 sq ft

% increase in living space ;

Increase in living space = 3800 - 1450 = 2350 sq feet

(Increase / previous size) * 100%

(2350 / 1450) * 100%

1.6206 * 100%

= 162.06%

= 162.1%

Solve for y, Angle Q and Angle S

Answers

Answer:

hope

Step-by-step explanation:

help me!!! its geometry.. plz help and thank you!!

Answers

Answer:

1. m<1 + <2 = m<4; given

2.  m<3 + m<4 = 180; linear pair postulate

3. m<1 +m<2 + m<3 = 180; substitution property

1. <1 is congruent to <4; given

2. <1 is congruent to <2, <3 is congruent to <4; vertical angle congruency theorem

3. <2 has to be congruent to <3; transitive property

Step-by-step explanation:

Will mark brainliest to answer with explanation

In a music competition, a participant has to score a total of at least 40 points in the first four rounds combined to move on to the fifth and final round. Glenn scored 4 points in the first round. He then went on to score additional points in the second, third, and fourth rounds. In each of those rounds, his score was identical. Which inequality best shows the number of points, p, that Glenn scored in each of the second, third, and fourth rounds if he earned a place in the finals?

4 + 3p ≤ 40
4 + 3p ≥ 40
4p + 3 ≥ 40
4p + 3 ≤ 40

Answers

Answer:

4 + 3p ≥ 40

Step-by-step explanation:

4 points in the first round plus 3p (identical scores) has to be at least 40 points or higher to move on.

Your car has 10 gallons of gas. You use 1 gallon every 20 miles you travel. Fill in the table.

Answers

Answer:

(0, 0), (20, 1), (40, 2), (60, 3), (80, 4)

Step-by-step explanation:

0
1
2
3
4

These are the numbers you are looking for.

Whats the answer to number 9?

Answers

Answer:

B and D

Step-by-step explanation:

Because only those two equations on the graphs are straight. and are increasing or decreasing in a constant pace.

Find the slope of the line.
y = 3/4x + 207

Answers

m = 3/4
Remeber y = mx + c

You are riding your scooter to a town that is 120 miles away and you can maintain a speed of 30 mph. How long will it take you?

Answers

Answer:

4 hours

Step-by-step explanation:

120 ÷ 30 = 4

Hope this helps. Pls give brainliest.

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Answers

Lnockfousoudoucojvpufyx

Is there anything needed for this question? I'm not willing to take "free points"

What is ⅓ divided by ¼? Use the model if needed. Answer should be in simplest form. Explain your answer

Answers

Answer:

The answer to the expression in simplest form is:

[tex]\frac{\frac{1}{3}}{\frac{1}{4}}=\frac{4}{3}[/tex]

Step-by-step explanation:

Given the function

[tex]\frac{\frac{1}{3}}{\frac{1}{4}}[/tex]

solving to get the simplest form

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex]

[tex]\frac{\frac{1}{3}}{\frac{1}{4}}=\frac{1\cdot \:4}{3\cdot \:1}[/tex]

[tex]\mathrm{Apply\:rule}\:a\cdot 1=a[/tex]

[tex]=\frac{4}{3}[/tex]

Thus, the answer to the expression in simplest form is:

[tex]\frac{\frac{1}{3}}{\frac{1}{4}}=\frac{4}{3}[/tex]

Which is NOT true?
A. 16 + 3 = 11 + 8
B. 16 = 16
C. 16 - 4 = 7 + 6
D. 16 = 19 - 3

Answers

Answer:

c

Step-by-step explanation:

16-4=12

7+6=11

The false statement is;

C. 16 - 4 = 7 + 6

Given that;

The mathematical expression is;

A. 16 + 3 = 11 + 8

B. 16 = 16

C. 16 - 4 = 7 + 6

D. 16 = 19 - 3

We have to state the false statement.

What is an expression?

Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The mathematical expression is;

A. 16 + 3 = 11 + 8

Left hand side,

16 + 3 = 19

Right hand side,

11 + 8 = 9

Left hand side = Right hand side

Hence, This is true.

B. 16 = 16

Left hand side = Right hand side

Hence, This is true.

C. 16 - 4 = 7 + 6

Left hand side;

16 - 4 = 12

Right hand side,

7 + 6 = 13

Hence, This is false.

D. 16 = 19 - 3

Left hand side;

16

Right hand side,

19 - 3 = 16

Left hand side = Right hand side

Hence, This is true.

Therefore, The false statement is;

C. 16 - 4 = 7 + 6

Learn more about the mathematical expression visit:

https://brainly.com/question/19025984

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Answers

Answer:

51

Step-by-step explanation:

find the percent for each (34 and 33) subtract from their whole (220 and 170) then subtract from each other

Find the slope that passes through (-1, -3) and (-2, 2).
A
-5
С
-2
B
-1/5
D
1/3

Answers

Answer:

A.-5

Step-by-step explanation:

I have used an online calculator to check my answer against so this answer is 100% correct. I used "Slope Calculator" by Omni.

PLEASAE MARK BRAINLIEST

The subject of the formula below is y

y=4x+3

Rearrange the formula to make x the subject

Answers

Answer:

x = (y - 3)/4.

Step-by-step explanation:

y = 4x + 3

y - 3 = 4x

x = (y - 3)/4.

Step-by-step explanation:

y=4x+3

all divide by 3

4x=y/3

cross multiple

12x=y

divide both sides by 12

therefore, x is equal to y/12

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