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MrRissso [65]
3 years ago
8

Which properties were used to solve the following problem?

Mathematics
1 answer:
Stels [109]3 years ago
5 0

Step-by-step explanation:

25(2x) + 25(3y)

25 · (2 · x) + 25 · (3 · y)

(25 · 2) · x + (25 · 3) · y                <em>Associative property </em><em>(a · b) · c = a · (b · c)</em>

(25 · 2)x + (25 · 3)y

(2 · 25)x + (3 · 25)y             <em>Commutative property</em><em> a · b = b · a</em>

<em>50x + 75y</em>

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The Happy-Go-Lucky Beach was 163 feet long from parking lot to high tide. After last year's hurricane came ashore, the beach onl
ANTONII [103]

Answer:

About 5.5% decrease

Step-by-step explanation:

Here, we want to calculate the percentage increase or decrease and its value.

The first thing to do here is to check if we are going to have a decrease or an increase.

since the value before the change is higher than the value after the change, then what we have is a decrease.

Mathematically, the percentage decrease is calculated as follows;

% decrease = (old value - new value)/old value * 100%

old value = 163 feet

new value = 154 feet

% decrease = (154-163)/163 * 100%

% decrease = -9/163 * 100%

% decrease = -5.52%

Thus the best answer is about 5.5% decrease

4 0
3 years ago
What is 1.25 as a percent???
katrin [286]

The answer  for your questions is 125%

5 0
2 years ago
Read 2 more answers
I need to know number 5 just what it says thank you
Stels [109]

Answer:

C

Step-by-step explanation:

Okay! Time to use the Pythagoras theorem.

a^2 + b^2 = c^2

4^2 + 7^2 = x^2

16 + 49 = c^2

65 = c^2

Let's take the square root of both sides to get

c ~ 8.06

C

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5 0
3 years ago
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Two thirds of a blueberry pie is left in
Sonja [21]
1/9 of the original pie is each slice
7 0
3 years ago
What is the vertex form, f(x) = a(x − h)2 + k, for a parabola that passes through the point (1, −7) and has (2, 3) as its vertex
kondaur [170]

Answer:

Vertex form: f(x) = -10(x − 2)^2 + 3

Standard form: y = -10x^2 + 40x - 37

Step-by-step explanation:

h and k are the vertex coordinates

Substitute them in the vertex form equation:

f(x) = a(x − 2)^2 + 3

Calculate "a" by replacing "f(x)" with -7 and "x" with 1:

-7 = a(1 − 2)^2 + 3

Simplify:

-7 = a(1 − 2)^2 + 3

-7 = a(-1)^2 + 3

-7 = a + 3

-10 = a

Replace a to get the final vertex form equation:

f(x) = -10(x − 2)^2 + 3

Convert to standard form:

y = -10(x − 2)^2 + 3

Expand using binomial theorem:

y = -10(x^2 − 4x + 4) + 3

Simplify:

y = -10x^2 + 40x - 40 + 3

y = -10x^2 + 40x - 37

6 0
3 years ago
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