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mixas84 [53]
4 years ago
8

a 5 inch x 7 inch photograph is placed inside a picture frame. Both the length and width are 2x inches larger than the width and

length of the photograph. Which expression represents the perimeter of the frame?
Mathematics
2 answers:
Simora [160]4 years ago
8 0
8x+24 is your answer
puteri [66]4 years ago
6 0

Answer:

The correct answer is P = 24 + 8x.

Step-by-step explanation:

First, we must express the length and width of the frame.

Length = 7 + 2x

Width = 5 + 2x

The perimeter is the sum of the four sides of the frame.

P = 2 * (7 + 2x) + 2 * (5 + 2x)

P = 14 + 4x + 10 + 4x

P = 24 + 8x

In this way, we express the perimeter (P) of the frame.

Have a nice day!

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Mark each of the following statements as true or false (inappropriate notation should fall under "false").
Marianna [84]

Answer:

a.False

b.True

c.False

d.True

e.True

f.True

g.False

h.False

Step-by-step explanation:

a.The quotient of 25/11 =2, 25-2*11=3 not 14

b.25/11 and 14/11 have the same remainder which is 3

c.The quotient of 3/11 =0, 3-0*11=3 not 14

d.14/11 and 3/11 have the same remainder which is 3

e.The quotient of 14/11 is 1, 14-1*11=3

f.14/11 and 3/11 have the same remainder which is 3

g.Incorrect expression

I. Incorrect expression

4 0
4 years ago
Find the maximum/minimum value of the quadratic function x2 + 10x + 17 = y by
Pachacha [2.7K]

Answer:

-8

Step-by-step explanation:

y = x² + 10x + 17

Complete the square.  (10/2)² = 25

y = x² + 10x + 25 − 8

y = (x + 5)² − 8

This is an upward parabola with a vertex at (-5, -8).  So the minimum is y = -8.

5 0
3 years ago
You have a $50 bill. You and your friend ordered two cheese burgers for $4.25 each, two fries for $1.28 each, and two colas for
dusya [7]

Answer:

$32.13

Step-by-step explanation:

You and your friend ordered two cheese burgers for $4.25 each, two fries for $1.28 each, and two colas for $1.98 each.

Total cost of the food = 2 \cdot 4.25+2 \cdot 1.28+2 \cdot 1.98=15.02

sales tax is 4%. 4% of 15.02= 0.6008

tax amount i s 0.6008

tip amount is 15% of 15.02= \frac{15}{100}  \cdot 15.02=2.253

Total amount including tip and sales tax is

15.02+0.6008+2.253=17.87

$50 bill. bill amount is 17.87

Amount received in change is

50-17.87=32.13

5 0
3 years ago
2a is used in the equation because the _______ is a point on the hyperbola and it is the difference in the distances from this p
Jlenok [28]

Answer: Vertex

Step-by-step explanation:

6 0
4 years ago
a sprinkler swings back and fourth between A and B in such a way that <1 is congruent to <2. <1 and <3 are complemen
LekaFEV [45]

Answer:

m∠2=47.5°

m∠3=42.5°

m∠4=42.5°

Step-by-step explanation:

We are given in the question that m∠1=47.5 degrees=47.5°.

<em>" Angles are</em><em> congruent </em><em>if they have the same angle measure in degrees" ----(1)</em>

As we are given that ∠1 is congruent to ∠2.

This implies from statement (1) that:

m∠2=47.5 degrees=47.5°

<em>" Complementary Angle: Two Angles are </em><em>Complementary</em><em> when they add up to 90 degrees (a Right Angle)."</em>

In the question we are given ∠1 and ∠3 are complementary.

This means ∠1+∠3=90°

⇒   ∠3=90°-∠1

⇒  ∠3=90°-47.5°=42.5°

Hence, m∠3=42.5°

Also we are given that  ∠2 and ∠4 are complementary.

This means ∠2+∠4=90°

⇒    ∠4=90°-∠2

⇒    ∠4=90°-47.5°=42.5°

Hence, m∠4=42.5°.



5 0
3 years ago
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