1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dennis_Churaev [7]
3 years ago
9

If 7 shirts and 4 sweaters cost $192, and 8 shirts and 7 sweaters cost $268, what is the cost of one shirt and what is the

Mathematics
1 answer:
djyliett [7]3 years ago
5 0

Answer:

The cost of one shirt is $16 and the cost of one sweater is $20.

Step-by-step explanation:

Let the cost of one shirt be x and the cost of one shirt be y.

7x + 4y = 192 -----Equation 1

8x + 7y = 268 -----Equation 2

Equations 2-1:

8x + <em>7y</em> - 7x <em>- 4y</em> = 268 - 192

x + 3y = 76

x = 76-3y -----Equation 3

Subsitute x = 76-3y into Equation 1:

7x + 4y = 192

7(76-3y) + 4y = 192

532 - 21y + 4y = 192

532 - 17y = 192

-17y = 192-532

-17y = -340

17y = 340

y = 340 ÷ 17

y = 20 (The cost of one sweater is $20)

Substitute y = 20 into Equation 3:

x = 76-3y

x = 76 -3(20)

x = 76 - 60

x = 16 (The cost of one shirt is $16)

You might be interested in
3+2y-24=14-3y<br> Please give explanation and good answers.
yawa3891 [41]

y = 7

I have attached the step explanation in the photo

7 0
3 years ago
Read 2 more answers
To the white girl who b a n n e d me i hate u
NISA [10]

Answer:

What happened?

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Find the Area of the figure below, composed of an isoceles trapezoid and one
MAVERICK [17]

Answer:

the total area is 15.6 square units

Step-by-step explanation:

hello,

you can  find the total area  dividing the shape into two known shapes

total area= area of the trapezoid +area of the semicircle

then          

step one

find the area of the isosceles trapezoid using

A=\frac{a+b}{2}*h

where

a is the smaller base

b is the bigger base

h is theheight

A is the area

let

a=2

b=5

h=4

put the values into the equation

A=\frac{a+b}{2}*h\\A=\frac{5+2}{2}*4\\A=3.5*4\\A=14

Step two

find the area of the semicircle

the area of a circle is given by

A_{c}=\pi  \frac{d^{2}}{4}\\

but, we need the area of  half circle, we need divide this by 2

A_{semic}=\frac{ \pi \frac{d^{2}}{4}}{2}\\A_{semic}= \pi \frac{d^{2}}{8}

now the diameter of the semicircle is 2, put this value into the equation

A_{semic}= \pi \frac{2^{2}}{8}\\\\A_{semic}= \pi \frac{1}{2}\\ A_{semic}=\frac{\pi }{2}\\

find the total area

total area= area of the trapezoid +area of the semicircle

total\ area= 14+\frac{\pi }{2} \\total\ area=15.6

so, the total area is 15.6 square units

Have a good day.

5 0
3 years ago
write the equation of the line that passes through the points (0,-5) and (2,-1) in fully reduced point slope form
statuscvo [17]

Answer:

Point Slope Form: y - 0 = 2 (x + 5)

5 0
3 years ago
If you decide to rent a place to live, you'll need to sign
tigry1 [53]

Answer:

??????????????????????

6 0
3 years ago
Other questions:
  • (Who are you riddle) I am greater than 2. I am a common factor of 6 and 9
    6·2 answers
  • The coordinates for the endpoints of LM are L (-2, -3) and M (4, 5). LM is dilated by a scale factor of ( 1/ 2) from center of d
    15·1 answer
  • A rectangular garden has a length of 3a+75 cm and a width of 2a-34. What is its <br> perimeter?
    15·1 answer
  • Please please Pleas answer this question please please
    15·1 answer
  • I need help asap due now
    7·1 answer
  • Let f(x) =x+5 and g(x)=x^2-3 then f(g(x)) =?
    6·1 answer
  • A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the
    6·1 answer
  • Help me fast please I am really confused!!!!!!
    11·1 answer
  • Please help<br><br> x-3=x^(2)-10x+25
    8·1 answer
  • What is the percent decrease from 95 to 68 round to the nearest percent
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!