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
brilliants [131]
3 years ago
14

To raise money for new uniforms, the band boosters sell t-shirts and hats. The cost and sale price of each item is shown. The bo

osters spend a total of $2,000 on T-shirts and hats. They sell all of the merchandise, and make $3375. How many T-shirts did they sell?
Mathematics
1 answer:
Mila [183]3 years ago
5 0
Found the problem:
Item     Cost       Sales Price
T-shirt    6                10
hats       4                  7

Let x = t-shirts, y = hats

6x + 4y = 2,000
10x + 7y = 3,375

4y = 2000 - 6x
y = 2000/4 - 6x/4
y = 500 - 3x/2

10x + 7y = 3,375
10x + 7(500 - 3x/2) = 3,375
10x + 3500 - 21x/2 = 3,375
10x - 10.5x = 3,375 - 3500
-0.5x =  -125
-0.5x / -0.5 = -125/-0.5
x = 250 shirts

They will need 250 shirts.
You might be interested in
I need help solving it
Andrej [43]

Answer:

3x+4

3×(-2)+4=-10

3×(-1)+4=-8

3×0+4=4

3×2+4=10

3×1+4=8

7 0
2 years ago
Factor 3/4 out of 3/4z + 6
Alenkasestr [34]
ANSWER

\frac{3}{4} z + 6 =  \frac{3}{4} (z +  8  )


EXPLANATION

We want to factor
\frac{3}{4}
out of

\frac{3}{4} z + 6

The first term is already having a factor of
\frac{3}{4}
The constant term which is the second term is not having a factor of
\frac{3}{4}
so we need to use a trick of multiplying and dividing by the same factor to obtain,



\frac{3}{4} z + 6 =  \frac{3}{4} z +  \frac{3}{4}  \times  \frac{6}{ \frac{3}{4} }


We can now factor
\frac{3}{4}
out of the right hand side to obtain,

\frac{3}{4} z + 6 =  \frac{3}{4} (z +  \frac{6}{ \frac{3}{4} } )
Let us rewrite the right most fraction using the normal division symbol.

\frac{3}{4} z + 6 =  \frac{3}{4} (z +  6 \div  \frac{3}{4}  )




We simplify to obtain,

\frac{3}{4} z + 6 =  \frac{3}{4} (z +  6  \times  \frac{4}{3}  )



This further gives us,


\frac{3}{4} z + 6 =  \frac{3}{4} (z +  2 \times  4  )



\frac{3}{4} z + 6 =  \frac{3}{4} (z +  8  )


5 0
3 years ago
Read 2 more answers
8/7 = 12/k solve for k
Serjik [45]

Answer:

k = 10.5

Step-by-step explanation:

8/7 = 12/k

Using cross products

8k = 7*12

8k = 84

Divide each side by 8

8k/8 = 84/8

k = 10.5

7 0
3 years ago
Read 2 more answers
before a renovation, a movie theater had 149 seats. After the renovation, the theater had 180 seats. what is the approximate per
liberstina [14]

180 - 149 = 31

x/100 *149 = 31

1.49x = 31

x= 31/1.46 = 20.81 %
5 0
3 years ago
Evaluate 16^1/2 and show work​
LUCKY_DIMON [66]
Here is your answer

{16}^{1/2} = ({4}^{2})^{1/2}\\= {4}^ {2× 1/2}\\= 4

HOPE IT IS USEFUL
4 0
3 years ago
Other questions:
  • What is the multiplicative inverse of the sum of 1/3 + 1/5 ? Express in simplest form
    11·1 answer
  • In a triangle, the measure of the second angle is twice the measure of the first angle. The third angle is equal to the sum of t
    10·2 answers
  • Which point is a solution to the linear inequality y < Negative one-halfx + 2? (2, 3) (2, 1) (3, –2) (–1, 3)
    14·2 answers
  • Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule. A(n) = –3 + (n – 1)(–2.2)
    14·1 answer
  • When D is placed on this square, what will the perimeter of the square be?
    7·1 answer
  • 8,034÷23 what is the answer
    5·2 answers
  • What is the value of x?
    10·1 answer
  • Jason is shopping at a store for a shirt. He has a coupon that will reduce the original price of the shirt by $2. A 4% sales tax
    13·1 answer
  • Write the slope-intercept equation
    5·1 answer
  • I WILL MARK BRAINLIEST
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!