A shopper bought 6 shirts and 8 hats for $700. A week later, at the same prices, he bought 9 shirts and 6 hats for $660. What was the cost of one shirt?

Answers

Answer 1

Answer:

Cost of one shirt = $ 30

Step-by-step explanation:

Let cost of 1 shirt = s

Cost of 1 hat  = h

A shopper bought 6 shirts and 8 hats for $700.

6s + 8h = 700      -------------------(I)

A shopper bought 9 shirts and 6 hats for $660

9s + 6h = 660    -----------------(II)

Multiply equation (I) with 9 and multiply equation (II) with (-6) and then add. SO, now 's' will be eliminated and we can find the value of 'h'

(I) * 9                54s + 72h  = 6300

(II)*(-6)            -54s  - 36h = - 3960   {Now add}

                                 36h = 2340

                                     h = 2340/36

                                     h = 65

Cost of one hat  =  $ 65

Substitute h = 65 in equation (I)

6s + 8 * 65 = 700

6s  + 520   = 700

            6s = 700 - 520

            6s = 180

               s = 180/6

               s = 30

Cost of one shirt = $ 30

Answer 2

Answer: One shirt is $30

Step-by-step explanation: Have a great day


Related Questions

Somebody help this is all I need for today

Answers

Answer:

Somebody help this is all I need for today

Step-by-step explanation:

Choose the words to fill in the blank, which best complete the sentence.

An abstract painting of dark zigzag lines.

The piece above is called, The Portuguese, by Georges Braque. Braque used zigzag lines as his primary element in this piece, in order to suggest _____(1)_____ and _____(2)_____.

a.

(1) confusion; (2) action

b.

(1) depth; (2) vibrancy

c.

(1) dimension; (2) form

d.

(1) mood; (2) direction

evanmanley avatar

These r the answers

Boris pushes a 5 lb. box 6 feet in 2 seconds. He has _____.

done 50 ft-lbs. of work
a power output of 30 ft-lbs./sec
a power output of 15 ft-lbs./sec
not done work​

Answers

Answer:

B.

Step-by-step explanation:

What’s the answer for this? Only if you know tho!

Answers

Answer: D. SSS

Step-by-step explanation:

The solution would be SSS because the image shows that AB is congruent to DE, BC is congruent to EF, and AC is congruent to DF. Because the image shows that all three sides are congruent to their corresponding side on the other triangle, with no mention of angles, the triangles are congreunt through the SSS theorem.

PLEASE HELP! (don't graph, give me the coordinates and i will graph myself)

Answers

Answer:

(-2,0) (0,-3)

Step-by-step explanation:

Which expressions give the monthly pay of an employee with 33 hours of training

Answers

Answer:

A-33(PAY) OR 33(P)

B-33 x pay or 33 x p

C-hours(33)or H(33)

D-pay(33) or p(33)

its D is correct hope this helps

I NEED HELP!! pleaseee

Answers

Answer:

y = 20

Step-by-step explanation:

line RPN = 180 = 4y - 10 + 90 + y

180 - 90 + 10= 5y

100 = 5y

y = 100/5

y = 20

The
of a nonvertical line passing through two points is the ratio of the rise to the run.

Answers

Answer: Slope

Step-by-step explanation:

Slope is rise over run. It can be calculated by dividing the change in y (rise) over the change in x (run).

The slope of a non vertical line passing through two points is the ratio of the rise to the run.

What is slope of a line?

The slope of a line is a measurement of its steepness and direction.The slope of a line formula computes the "vertical change" to "horizontal change" ratio between two distinct points along a line.

1. Slope of Parallel Lines :

A set of parallel lines always has the same inclination angle. Assume we possess two parallel lines l1 and l2 in the reference plane, inclined at angles θ1  and θ2 with the x-axis, respectively, such that the, θ2 = θ1.

m1 = m2

Therefore, the slopes of the two given parallel lines are equal.

2. Slope of Perpendicular Lines :

A pair of perpendicular lines always form a 90° angle. Imagine we have two perpendicular lines l2 and l1 in the coordinate plane, inclined at angles θ1 and θ2 with the x-axis, respectively, so that the provided angles follow the external angle theorem, θ2 =  θ1 + 90°

m₁ = tan θ₁

m₂ = tan (θ₁ + 90º) = - cot θ₁

m₁ × m₂ = -1

Therefore, the product of slopes of two given perpendicular lines is equal to -1

Hence , The slope of a non vertical line passing through two points is the ratio of the rise to the run.

To know more about the slopes click :
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Find the x-intercept of the line y=-4x +2. Write the point as a coordinate (x,
y).

Answers

Answer:

X intercept = 1/2

(x, y) = (1/2, 0)

Step-by-step explanation:

In order to find the x intercept, plug y = 0

y = - 4x + 2

Plug y = 0

0 = - 4x + 2

4x = 2

x = 2/4

x = 1/2

(x, y) = (1/2, 0)

Two teachers, Mr. Meehan and Mrs. Chipps, decide to buy compasses and rulers for their classrooms. Mrs. Chipps buys 30 compasses and 50 rulers for $95. Mr. Meehan buys 40 of each for $116. What are the individual costs of the compasses and rulers that were purchased? Explanation Please

Answers

Answer:

compass = $ 2.50 each ruler        = $ 0.40 each

Step-by-step explanation:

Mrs. Chipps buys 30 c + 50 r = $95

Mr. Meehan buys 40 c + 40 r = $116    x (-1.25) to eliminate r

                             30 c + 50 r = $ 95

                            -50 c - 50 r  = $-145

                            -20 c             =  -50

                                               c = 50 / 20

                                               c = $2.5

substitute c = 2.5 into eq. 1

30 c + 50 r = $95

30 (2.5) + 50 r = 95

75 + 50 r = 95

50 r = 95 - 75

r = 20 / 50

r = 0.40

therefore, the individual costs of the compasses and rulers are:

compass = $ 2.50 each

ruler        = $ 0.40 each

What is 55 divided by 32

Answers

Answer:

1.71875

Step-by-step explanation:

Answer:

1.72 (rounded to the nearest hundredth)

Step-by-step explanation:

Martina bought 5 bags of rice for her restaurant. Each bag weighed 4.7 kilograms. How many kilograms of rice did she buy total?

Answers

Answer:

23.5kg

Step-by-step explanation:

5 bags *4.7kg each = 23.5kg total

2 p
In a nursery, there are 5 adults and 14 children. Write the ratio of adults to
children in the form 1:n
*
can someone help me?

Answers

Answer:

5:14

Step-by-step explanation:

The ratio of adults to children using the form 1:n would look like this:

number of adults : number of children

So:

5 adults : 14 children = 5:14

Answer:

1 : 2.8

Step-by-step explanation:

in such a case what the question is asking you to is to compare the numbers and simplify them with the left hand number.

ratio of adult to children

write it as 5:14

put the 1 :n underneath

5  :  14   what we want to find is the n. among the 2 sides one is complete                      

1   :   n      only whole numbers. to get n look at the complete side . if

                    5:1      14=14 x 1 /5(cross multiplication). or you can

divide both sides by the left hand number(5)

5   and   14   =   1 :  2.8

5              5

the n is what we were trying to find and compare it to 1

this means for every 1 adult there are 2.8 children

Points for people that need them :)

Answers

Answer:

Thank you so much!!!

You're the best!!!!

Answer:

thx ☺️

ehehhehehehe

Step-by-step explanation:

so thx!

If Jerome were to roll two dice 48 times, about how many times could he expect to roll doubles? Group of answer choices 18 times 12 times 8 times 6 times

Answers

Answer: 8 times

Step-by-step explanation:

There are 1/6 chance everytime you roll, so if you x48 is is 48/6 which is 8 times!

In a survey of 1046 adults conducted by Bradley Corporation, subjects were asked how often they wash their hands when using a public restroom, and 70% of the respondents said "always."


Identify the sample and the population.

Answers

Answer:

Sample = 1046

Population = All adults.

Step-by-step explanation:

In Statistics, a sample can be defined as a set of items, objects or individuals collected, selected or drawn from a population. Thus, a sample is a subset of a population. In this scenario, the sample is 1046.

On the other hand, population can be defined as the total number of individuals in a survey. Thus, all the adults are a population.

FREEE POOOINTTTSSSS FORRRR ANNYYYOONNNEEE WHOOOO HELPSSSS MEEEEE PLZZZZ ASAP

Answers

X = -35c
Y = -49f
Z = -40f
Y is the coldest
This is the answer
X=-35c
Y=-49f

PLEASE HELP QUICK

If two angles form a linear pair, then they are adjacent and
O congruent
O supplementary
O complementary
O perpendicular

Answers

Answer:

Supplementary

Step-by-step explanation:

2 angles that form a linear pair (180°) is supplementary

Answer: Supplementary.

Explanation: If two angles form a linear pair, the angles are supplementary. A linear pair forms a straight angle which contains 180º, so you have 2 angles whose measures add to 180, which means they are supplementary. If two congruent angles form a linear pair, the angles are right angles.

Please give me brainlisted

PLEASE HELP! (don't graph, give me the coordinates and i will graph myself)

Answers

Answer:X=3

y= -4

Step-by-step explanation:

If we're solving for x or y, then the intercept we're not solving for is equal to zero. Solving for y means x=0, solving for x means y=0.

so solving for x, 4x=12--> x=3, since y=0 in this scenario.

Solving for y, x=0, so -3y=12--> y=(-4)

9514 1404 393

Answer:

  see below for a table

Step-by-step explanation:

You can easily identify intercept points by solving for one variable when the other is zero.

x-intercept (y=0)

  4x = 12

  x = 12/4 = 3

y-intercept (x=0)

  -3y = 12

  y = 12/-3 = -4

So, the coordinate pairs of these points are ...

  (3, 0) and (0, -4)

__

If you solve for y, you get ...

  -3y = 12 -4x

  y = (4/3)x -4 . . . . . divide by -3

This suggests that x being a multiple of 3 will be useful for finding integer values of y.

We already have points for x=0 and x=3. We can add points for x=6 and x=-3.

  y = 4/3(6) -4 = 4

  y = 4/3(-3) -4 = -8

So, the additional points are ...

  (6, 4) and (-3, -8)

Select the equations in which
w
=
100
makes the equation true. Select all that apply.

A.
0
.
54
÷
w
=
0
.
0054
B.
4
,
086
÷
w
=
4
.
086
C.
362
.
7
÷
w
=
3
.
627
D.
5
.
3
÷
w
=
0
.
0053
E.
21
.
9
÷
w
=
0
.
219

Answers

Answer:

5.19

Step-by-step explanation:

How can the triangles be proven similar by the SAS
similarity theorem?

Answers

Answer:

hope it helps..

Step-by-step explanation:

In SAS similarity theorem if two sides of one triangle are proportional to two sides of another triangle and angle between them are congruent then the triangle are similar.

Which equation can be used to find the solution of (1/2)^2x=32
-2x=5
2x=5
1/2x=5
-1/2x=5​

Answers

Answer:

-2x = 5

Step-by-step explanation:

(1/2)^2x=322^(-2x) = 2^5-2x = 5

Correct option is the first one

What is the value of k in the function f(x)=112-kx if f(-3)=121?

Answers

Answer:

k = 3

Step-by-step explanation:

f(x) = 112 - kx   ------------------(I)

f(-3) = 121

In equation (I) substitute x = -3

112 - k*(-3) = 121

112 + 3k = 121

        3k = 121 - 112

        3k = 9

          k = 9/3

k = 3

If KM is the perpendicular bisector of JL, find x.
Plssssss
20 points pllsssss

Answers

Answer:

x = 10

Step-by-step explanation:

Okay the two sides are going to equal the same measure soo...

4x + 9 = 11x - 61 (Subtract 4x on both sides)

9 = 7x - 61 ( add 61 on both sides)

70 = 7x (divide both sides by 7)

10 = x

Hope this helps!!

Sorry it took so long!!!

The triangles ΔJMK and ΔLMK are congruent. Then the value of the variable 'x' will be 10.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

In triangles ΔJMK and ΔLMK, then we have

∠JMK = ∠LMK = 90°          (Right angle)

∠JKM = ∠LKM                    (Given)

KM = KM                             (Common side)

The triangles ΔJMK and ΔLMK are congruent with each other. Then the sides JK and KL will be equal. Then the value of 'x' will be given as,

KL = JK

11x - 61 = 4x + 9

11x - 4x = 61 + 9

7x = 70

x = 70 / 7

x = 10

The triangles ΔJMK and ΔLMK are congruent. Then the value of the variable 'x' will be 10.

More about the triangle link is given below.

https://brainly.com/question/25813512

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Marie can find the volume of a cube by using the formula V = 53, where s represents the side length of the cube. If Marie's
cube has a side length of 2 centimeters, what is the volume of her cube? Show your work. Write your answer as a fraction.

Answers

Answer:

The volume of her cube is 15.625cm^3

Step-by-step explanation:

The formula V = s³, where s represents the side length of the cube.

1. Tyrel walks Mrs. Murray's dog each day for $10 per week. How much does he earn each day for walking the dog? ​

Answers

Answer:

$1.42 / day

Step-by-step explanation:

Divide 10 by 7. 10 for the amount of money being paid, 7 for the amount of days in a week.

Carlos just took a 40 question math test. He scored a 75%. How many questions did he get correct?

Answers

Answer:

He missed 10 questions and got 30 right

Step-by-step explanation:

So we could do 0.75 times 40 and we would get 30

So he got 30 questions right which isn't too bad

PLEASE SOMEONE HELP ME. I WILL BRAINLIEST YOU AND GIVE YOU POINTS.

Answers

Answer:

C).

Step-by-step explanation:

-3x+2 and[(-)(x^2+5x)

3x+2 and (-x^2+5x)

3x+2-x^2+5x

-x^2-8x+2

Hope this Helps :)

Which expression is equivalent to 30 degrees? WILL DO BRAINLIEST
Options in picture below! Timed test, thanks for your help!

Answers

Answer:

It is the second one :D

Answer:

I think it’s C

Step-by-step explanation:

Therefore, the sum of two rational numbers will
always be

Answers

Answer: Itll always be a rational number and never zero

Step-by-step explanation:

Answer:

A rational number (The third option).

Step-by-step explanation:

1. By definition, rational numbers have the following form, where and are integers and [tex]b\neq 0[/tex].

2. Therefore, when you add two rational numbers, the result will be a rational number.

3. An example is shown below:

[tex]\frac{1}{5}+\frac{2}{5}+\frac{3}{5}[/tex]

The result is a fraction whose numerator and denominator are integers.

A shop sells pairs of trainers for £52 each. They make a percentage profit of 30% on each pair. What was the cost of each pair of trainers to the shop?i will mark as brainliest if right answer.

Answers

Answer:

£15.6

Step-by-step explanation:

Method 1:

You are trying to find 30% of £52.

Therefore:

[tex]\frac{30}{100} * 52 = \frac{30 * 52}{100}[/tex]

If you solve this you will find that 30 × 52 = 1560, and 1560 ÷ 100 = £15.6.

So, the answer is £15.6.

Method 2:

You can solve 30% of £52 by using an algebra equation.

By using the rule that to convert a percentage to a decimal you divide by 100, you can change 30% to be 0.3.

Now, in order to write the equation, you will have to include 0.3 and 52.

The equation is:

0.3 * 52 = x

Once you multiply, you will find that the answer is £15.6.

I hope I helped!

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