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guapka [62]
2 years ago
12

Can u help me figure this out lol

Mathematics
1 answer:
Evgesh-ka [11]2 years ago
4 0

Answer:

Cost of a T-shirt is £4
Cost of a Hat is £1

Step-by-step explanation:

Let T be the cost of each T-shirt and H the cost of each hat

We get two equations based on the cost description

3T + 2H = 14 ...... (1)
2T + 7H = 15 ...... (2)

Multiply (1) by 2 and (2) by 3 so that the T terms are the same
(1) x 2  ==> 6T + 4H = 28  ...  (3)
(2) x 3 ==> 6T + 21H = 45 ... (4)

Subtract (3) from (4) to eliminate the T terms
21H - 4H = 45 - 28 or 17H = 17 ==> H = 1

Substituting the value of H in either (1) or (2) will give us a value for T
Substitute in (1)
3T + 2*1 = 14 ==> 3T = 12, T = 4

Check
In (1) 3 *4 + 2 *1 = 14
In (2) 2*4 + 7*1 = 15
So satisfies both equations


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two-fifths of a number is decreased by three.find the value of the expression if the number is twenty five
djyliett [7]
The expression would be written as:

\frac{2}{5}n-3

N is any number. This expression means two-fifths of a number, subtract three. Now substitute 25 for n.

\frac{2}{5}(25)-3
=10-3
=7
7 0
3 years ago
How do I solve this problem?
Liono4ka [1.6K]

Answer:

10100

Step-by-step explanation:

Use this formula,

\frac{n}{2} (2 {a} + d(n - 1)

where n is the amount of even intergers, a is the starting term, d is the common difference.

  • the amount of even intergers from 2 to 200 is 100
  • The starting number is 2
  • The common difference is 2

\frac{100}{2} (4 + 2(99)

50(4 + 198)

50(202)

10100

3 0
2 years ago
Which equation can be used to find the perimeter of a regular octagon with sides of length 12?
USPshnik [31]
Octagans have 8 sides.
Perimeter is thought of as the length a piece of string would be if it was layed around the edges of the shape.
There are 8 sides, each 12units in length.
Perimeter=8*12=96units
7 0
3 years ago
Amy received a $80 gift card for a coffee store. She used it in buying some coffee that cost $8.24 per pound. After buying the c
SVEN [57.7K]

Answer:

5 pounds

Step-by-step explanation:

Given that:

Amount of gift card = $80

Cost of coffee per pound = $8.24

Amount left in the card = $38.80

To find:

Number of pounds of coffee bought = ?

Solution:

Let the number of pounds of the coffee bought = x pounds

Cost of 1 pound = $8.24

Cost of x pounds = $8.24 \times x

Writing the equation as per question statement:

80 - 8.24x = 38.80\\\Rightarrow 80 - 38.80 = 8.24x\\\Rightarrow  8.24x = 41.2\\\Rightarrow x = \dfrac{41.2}{8.24}\\\Rightarrow \bold{x = 5\ pounds}

Therefore, 5 pounds of coffee was bought.

3 0
3 years ago
21. 6m – 2n+ 7<br> Terms:<br> Coefficients:<br> Constants:
harkovskaia [24]

Answer:

Terms: 6m , -2n, 7

Coefficients: 6, -2

Constants: 7

Step-by-step explanation:

terms are the parts of the expression so 6m, -2n and 7

coefficients are the numbers in fron tof variables so 6 and -2

constants are terms without variables so 7

7 0
3 years ago
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