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WITCHER [35]
3 years ago
7

The length of a rectangular poster is 7 inches more than twice its width. Find the length of the poster if its perimeter is 110

inches.
Mathematics
1 answer:
Scilla [17]3 years ago
6 0
Total perimeter:
2u+7 inches+2u+7 inches+1u+1u
7 inches x 2 = 14 inches
*As there are 2 lengths, there are two sets of "extra" 7 inches.*
(2ux2)+1u+1u=6u
6u=110 inches - 14 inches = 96 inches
1u = 96 inches ÷ 6=16 inches (width)
(2x16 inches)+7 inches=32 inches+7 inches=39 inches

Ans: 39 inches

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2(6.75)+1.03+3S=22 therefore 3S = 14.53 divide by 3 so S equals 4.84 per pair of socks
Dovator [93]

Answer:

each pair of socks cost $2.49

Step-by-step explanation:

Eric spent $22.00, including sales tax on 2 jerseys and 3 pairs of socks. The jerseys cost $6.75 each and the total sales tax was $1.03. How much did each pair of socks cost?

Solution:

The total money spent was $22.00. 2 jerseys costing $6.75 each was bought, the total tax was $1.03. 3 pairs of socks was bought, Let S represent the cost for each pair of socks. The total money spent is the sum of the money spent on jersey, socks and tax. Hence:

2(6.75) + 3S + 1.03 = 22

13.5 + 3S + 1.03 = 22

14.53 + 3S = 22

3S = 22 - 14.53

3S = 7.47

S = 2.49

Hence each pair of socks cost $2.49

8 0
3 years ago
Simplify the trigonometric function
Alisiya [41]

Answer:

  a.  csc²θ

Step-by-step explanation:

You can use the identities ...

  1 +tan² = sec²

  cot = cos/sin

  sec = 1/cos

  csc = 1/sin

___

Then the expression becomes ...

  \cot^2{\theta}(1+\tan^2{\theta})=\cot^2{\theta}\sec^2{\theta}=\dfrac{\cos^2{\theta}}{\sin^2{\theta}\cos^2{\theta}}=\dfrac{1}{\sin^2{\theta}}\\\\=\boxed{\csc^2{\theta}}

8 0
3 years ago
If f(x)=3x+1 and g(x)=1x what is the value of (f-g)(2)
Lyrx [107]

f(x) 3x+1

g(x) 1x

f(1x) = 3(1x)+1

f = 3x+1

g(3x+1) = 1(3x+1)

g = 3x+1

6 0
3 years ago
Eduardo has $24 saved. if he saves $8 each week, how much will he have in 5 weeks?
MAVERICK [17]

Answer:

$40

Step-by-step explanation:

$8 x 5 = $40

6 0
3 years ago
Can anyone please help me with this? I don't know how to do it.
ycow [4]

Answer:


Step-by-step explanation:

The easiest way to fill out the graph is to find the slope.

The slope is y = 2x + 1.

Insert the x values of the graph for x in the equation to find y.

y = 2(-6) + 1 = -12 + 1 = -11. (-6, -11).

y = 2(-2) + 1 = -4 + 1= -3. (-2, -3).

Then, for finding x, just insert y.

1 = 2x + 1. Subtract 1 from both sides to isolate x.

0 = 2x. x = 0. (0, 1).

y = 2(2) + 1 = 4 + 1 = 5. (2, 5)

3 = 2x + 1. Subtract 1 from both sides.

2 = 2x. x = 1. (1, 3).

The slope of this function is 2x. The y-intercept is 1. The x-intercept is -2.

4 0
3 years ago
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