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anygoal [31]
2 years ago
14

Logan earned $8 for each dog he walked last summer. This summer, he raised his fee to $9 per dog. Express the change in Logan’s

fees as a percent. Round to the nearest tenth of a percent.
Mathematics
1 answer:
hammer [34]2 years ago
5 0

Answer:

The fee increased 12.5%

Step-by-step explanation:

The new price is 9 and the old price is 8, so you can find the change by doing

9/8

which is 1.125

This means the new price is 12.5% higher than last year because you have to ignore the 1 in front and only look at the .125

Move the decimal place two to the right to get 12.5 and then add the % sign.

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What is the length of EF in the right triangle below?
Lyrx [107]

Answer:

\sqrt(217)

Step-by-step explanation:

(19)^2=(12)^2

361 - 144 + 217

\sqrt(217)


8 0
2 years ago
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Part A: Find a rational number that is between 7.7 and 7.9. Explain why it is rational. (2 points)
cluponka [151]
Part A.
7.8 is a rational number between 7.7 and 7.9.
It is rational because it can be written as a fraction of integers, such as 78/10.

Part B.
sqrt(60) = 7.75
sqrt(60) cannot be written as a fraction of integers. It is a decimal number that never ends and never repeats.
7 0
2 years ago
Use the drop-down menus to complete the paragraph proof. we are given that xy is parallel to zw. if xz is a transversal that int
adoni [48]

Solution:

x y ║ z w→→Given

Also, x z is a transversal, that intercepts x y and z w.

So, ∠ x z w=∠z x y→→Alternate interior angles as, x y ║ z w.

Also, v is point of intersection of x z and y w.

∠ x v y ≅ ∠ z v w→→[ Vertically opposite angles]

So,→→ Δ x y v ~ Δ z w v⇒⇒[Angle-Angle Similarity]




6 0
2 years ago
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What is the factored form of the binomial expansion 125x^3 + 525x^2 + 735x + 343?
yarga [219]

Answer:

Step-by-step explanation:

1. regroup terms

125x^3+343+525x^2+735x

2. Rewrite 125x^3 as  (5x)^3 and 343 as 7^3

(5x)^3+7^3+525x^2+735x

3. Since both terms are perfect cubes, factor using the sum of cubes formula, a^3+b^3 = (a+b)(a^2-ab+b^2), where a=5x and b=7

(5x+7)((5x)^2-(7)(5x)+(7)^2)+525x^2+735x

(5x+7)(25x^2-35x+49)+525x^2+735x

4. Factor 105x out of 525x^2+735x

(5x+7)(25x^2-35x+49)+105x(5x+7)

5. Regroup

(5x+7)(25x^2-35x+49+105x)

(5x+7)(25x^2+70x+49)

6. Factor again

(5x+7)(5x+7)^2

(5x+7)^3

4 0
2 years ago
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Alison has some shapes. She has 14 red cubes and 10 red spheres. She has 12 black cubes and 8 black spheres. Alison is going to
KengaRu [80]

Answer:

2

Step-by-step explanation:

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