Last week, Keegan bought 4 shirts and 9
hats for a total of $108.
Today, Keegan bought 17 shirts and 21 hats
for a total of $321.
Assuming neither item has changed in price,
what is the cost of a shirt in dollars?
to write down notes or work through problems

Answers

Answer 1

Answer:  Shirts are $9 each and hats are $8 each

Step-by-step explanation:

Let S be the price of a Shirt, and H the price of a Hat.

First Week:  4S + 9H = $108

Today:         17S + 21H = $321

We have 2 equations and 2 unknowns (S and H).  Rearrange one of the equations to isolate one of the unknowns.  I'll rearrange the first for S:

4S + 9H = $108

4S  = $108 - 9H

S =  ($108 - 9H)/4

S = 27 - 2.25H

Now use this value of S in the second equation:

17S + 21H = $321

17(($27 - 2.25H) + 21H = $321

Solve for H:

459 -38.25H + 21H = $321

-17.25H = - 138

H = $8

Each hat was $8.

Use this value in the first equation to find S:

4S + 9H = $108

4S + 9*($8) = $108

4S + $72 = $108

S = $9

Each shirt was $9.

==

Check to see if the numbers give the correct results:

4*($9) + 9*($8) = $108

17*($9) + 21*($8) = $321

Both yield the correct amounts. Shirts are $9 each and hats are $8 each.


Related Questions

The cost of a ticket for 3 days stay in a cruise ship is 35,968. If 500 tickets were sold, what was the total amount collected?

Answers

Step-by-step explanation:

a ticket for 3 days cost = 35968

cost of 1 ticket = 35967÷3= 11989.33

therefore, 500 tickets cost= 500 x 11989.33

= 5994666.666, approximately 5994667

Bambino's Pizza is offering $56 per shift and $20.50 in commission for each pizza delivery write a linear equation with a greater Y- intercept and slope in Bambino's Pizza​

Answers

Answer:

Y = 56X + 20.50

Step-by-step explanation:

y=mx+c

Assuming that the y intercept is an additional numeral constantly given in a linear function. and the slope represented by the main wage of the job while concluding that it's the slope since it implies rate of change.

hope it's correct


Given f(x) = 2x2 – 9x + 2, g(x) = 1 - 6x, and
h(x) = x2 – 4, find the following function:
(h+f)(x)

Answers

Answer:

[tex](h+f)(x)=3x^2-9x-2[/tex]

Step-by-step explanation:

[tex]f(x)=2x^2-9x+2\\g(x)=1-6x\\h(x)=x^2-4[/tex]

Looks like g(x) is irrelevant here.

You can expand this like so:

[tex](h+f)(x)\\h(x)+f(x)[/tex]

And even further:

[tex](x^2-4)+(2x^2-9x+2)[/tex]

Now, it's just a matter of simplifying.

[tex]x^2-4+2x^2-9x+2\\\\(x^2+2x^2)+(-9x)+(-4+2)\\\\3x^2-9x-2[/tex]

Therefore:

[tex](h+f)(x)=3x^2-9x-2[/tex]

Find the value of x?

Answers

Answer:

x = 40

Step-by-step explanation:

measure of the angles = 1/2( outside arc - inside arc)

       x/2 = 1/2[x + 70 - (x + 30)]

       x/2 = 1/2 ( x + 70 - x - 30)

       x/2 = 1/2 (40)

       2(x/2) = 2(1/2)(40)

            x = 40

PLEASE HELP ME ASAP!!!!

Answers

Answer:

Subtraction property is the answer

Step-by-step explanation:

Mark brainliest please!

A construction team is going to Guatemala to help a missionary build a church building. The construction team will be there for 24 days, which is 50% more days than they need to complete construction. How many days will they need to complete the church building

Answers

Answer:

72

Step-by-step explanation:

50% means ½ of the usual days,

if 50% = 24 days

then the usual day is 48 days

so, 48+24= 72

PLEASE HELP WILL MARK BRAINEST!!!

Answers

they biked 220 kil      

that is the answer

x^2-2x+3k=0 find k with D>0

sorry for the bad example.​

Answers

Step-by-step explanation:

b²-4ac>0

(-2)²-4(1×3k)>0

4-12k>0

-12k>-4

k<⅓

Answer:

Step-by-step explanation:

b²-4ac>0

(-2)²-4(1×3k)>0

4-12k>0

-12k>-4

k<⅓

Ten movie tickets cost $80. How much does a single movie ticket cost?

Answers

Answer:

$10

Step-by-step explanation:

$80 / 10 tickets = 8 per ticket

A force of 75 N at an angle of 15° to the direction of motion moves a chair 3 m. Which change would result in more work being done on the chair?

Answers

Answer:

Reducing the angle to where the force is more in line with the direction of motion.

Step-by-step explanation:

Work is commonly defined as force * distance. Since the 75N force is not acting directly in line with the direction of motion (15 degrees offset), we are not utilizing the full 75 N in moving the object. By reducing the angle of offset, we allow more of the force to be used in moving the object and therefore increase the amount of work being done.

Answer:

Decreasing the angle to 10

Step-by-step explanation:

Use the figure to find the measure of

Answers

Answer:

m∠URV = 124°

Step-by-step explanation:

hope this helps

Answer:

what is the work to figure out the anwser?

Step-by-step explanation:

what is 56/53 = I'm so confused I used my calculator but i don't know whats accurate

Answers

Answer:

1.05660377358 or 1.06 rounded

Step-by-step explanation:

If it needs to be rounded, use 1.06 or 1.057. If not, the exact answer is 1.05660377358.

Answer:

1.056603774

Step-by-step explanation:

Dr,Goode prescribes 0.2 grams of cold medicine for Donald. This medicine comes in tablets that are 0.5 grams or 0.05 grams. Should Donald dark 4 of the 0.5 gram tablets or 4 of the 0.05 gram tablets?

Answers

Using proportions, it is found that Donald should order 4 of the 0.05 gram tablets.

This question is solved by proportions, using a rule of three.4 tablets are needed, and they should combine for 0.2 grams. How many grams is there going to be on one tablet?

The rule of three is:

1 tablet - x grams

4 tablets - 0.2 grams

Applying cross multiplication:

[tex]4x = 0.2[/tex]

[tex]x = \frac{0.2}{4}[/tex]

[tex]x = 0.05[/tex]

Donald should order 4 of the 0.05 gram tablets.

For more on proportions, you can check https://brainly.com/question/24372153

A group of friends wants to go to the amusement park. They have no more than $50 to spend on parking and admission. Parking is &11 and tickets cost $13 per person plus tax. How many people can go to the amusement park?

Answers

Answer:

3 people

Step-by-step explanation:

$11 for parking leaving $39 after paying for parking

39÷13=3

This is a plan view of a garden. The grass (shaded) has an area of 64 square metres. What is the length of the sides labelled x?
A. 5.5m
B. 6.0m
C. 6.8m
D. 9.0m
Please answer

Answers

The length of the sides of the square labelled x is b. 6.0 m.

Recall:

The formula for the area of a square with equal side, s, is given as s².

Given that the grass area is 64 sq. meters, to find the length of the sides labelled x, first find the area tat has sides labelled x.

Area = Total area of the garden - 64 sq. m

Area = (10 × 10) - 64

Area = 36 sq. m.

Area of square = s²

Lex x = s

Therefore:

x² = 36

Take the square root of both sides

x = 6 m

Therefore, the length of the sides of the square labelled x is b. 6.0 m.

Learn more about area of a square on:

https://brainly.com/question/16758129

..................................

Answers

Answer: 35 dots

Step-by-step explanation:

HELP ME GUYS THANK YOU! :)

Answers

Step-by-step explanation:

y=5(-1)+3

y=-5+3

y=—2

y=5(0)+3

y=3

y=5(1)+3

y=5+3

y=8

y=5(2)+3

y=10+3

y=13

Which of the following is a triangle circumscribed by a circle?

Answers

Answer:

Hi again

Its your 3rd option

Step-by-step explanation:

Answer:

Step-by-step explanation:

Option 3 is correct just got the test!

Please help me on this math problem

Answers

We know the first term is 16, because f(1) = 16. Next, we can use the recursive rule provided. f(3)=1/2*f(3-1). This gives us f(3)=1/2*f(2). We know f(2) is 8. We know have f(3)=1/2*8. This is 4.

The answer is 16, 4.

6 out of every students in a school watched FIFA world cup final match on TV. What is the ratio of the number of students who watched the final match to those who did not?

A. 6:4
B. 6:10
C. 6:16
D. 4:10

PLS ANSWER ASAP!!! ILL MARK U BRAINLIEST!!!♡♡♡​

Answers

Answer:

6:16

Step-by-step explanation:

plz mark as brain lst and like

Y= 3x — 5 what is the slope and y-intercept

Answers

4x is the answer for this one





A man borrowed Rs.8000 for one year at the rate of 15% per annum. Find
the interest

Answers

Answer:

I = 8000×1×15

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

100

I = 120000

----------

100

I = Rs 1200

First question: 3(x + 2)

If answered correctly- Brainliest
Second question:

Answers

3x+6 your welcome dude

Answer:

8 gumballs 3 jaw breakers or the required inequality expression is

0.50g + 0.30j ≤ 3

Step-by-step explanation:

welcome...

Test the following point in the inequality

-2x – 3y < 15 Test ( 6 , -10 ) Please help with this

Answers

False it is incorrect

if z=3+i/3-i find the value of 1/z and z+1/z​

Answers

Ok done. Thank to me:>

(-9)+5-6+9-(-9)+99-2+50

Answers

155 is your answer!
-9+5=-4
-4-6=-10
-10+9=-1
-1-(-9)=8
8+99=107
107-2=105
105+50=155

please help! the ppl who are good atttt mathhh please!

Answers

Answer:

10) SAS

12) SAS

13) SSS

11) ASA

14) ASA

Answer:

10. none

11. AAS

12. SAS

13. SSS

14. SAS

15. ASA

Step-by-step explanation:

I'm not going into detail of each question... I have a 101 in geometry right now though and I've already done triangles, so just trust me on this one.

smiplify 3^2 x 3^4 x 3^6
PLEASE ANSWER QUICKLY

Answers

[tex] {3}^{2} \times {3}^{4} \times {3}^{6} [/tex]

[tex] = {3}^{2 + 4 + 6} [/tex]

[tex] = {3}^{2 + 10} [/tex]

[tex] = {3}^{12} [/tex]

Algebra 2 How many Real solutions does the equation have? X-1 squared = x-4

Answers

The solutions are where the lines cross each other.

The lines only cross each other once so there is 1 real solution.

Answer: 1

Pls help me sue tmr pls pls pals question 6

Answers

Answer:

Ankita is 135cm tall and Nita is 150cm tall- to find what percent of Nita's height Ankita represents you would divide ankita's height by Nita's height then multiply the answer by 100%

135cm/150cm = 0.9 (the centimetres cancel out and leaves a generic unit) then 0.9 x 100% = 90%

so Ankita is 90% of the height of Nita

Step-by-step explanation:

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