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NARA [144]
3 years ago
15

Candy is paving a narrow pathway with pebbles. She needs 100 pebbles for each four feet of path. How many feet can she pave if s

he has 525 pebbles?
Mathematics
1 answer:
Nuetrik [128]3 years ago
6 0
21 feet
525/100=5.25
5.25 times 4 = 21
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Multiply and fill in the blanks
Julli [10]

The solution to the simplification of the algebraic expressions are;

A) 5p³q + 5pq³ + 5p²q

B) 14pqr² - 7p²qr

C) 20x² - 15xy - 16ax + 12ay

A) We have the expression;

5pq(p² + q² + pq)

Multiplying out using the concept of distributive property, we have;

(5pq × p²) + (5pq × q²) + (5pq × pq)

>> 5p³q + 5pq³ + 5p²q

B) We have the expression;

-7pr(pq – qr - rq)

Multiplying out using the concept of distributive property, we have;

-7p²qr + 7pqr² + 7pqr²

>> 14pqr² - 7p²qr

C) (4x - 3y)(5x - 4a)

By quadratic expansion, we have;

(4x * 5x) - (3y * 5x) - (4x * 4a) + (4a * 3y)

>> 20x² - 15xy - 16ax + 12ay

Read more about simplification of algebra at; brainly.com/question/4344214

6 0
2 years ago
The vertex form of a function is g(x) = (x – 3)^2 + 9. How does the graph of g(x) compare to the graph of the function
marysya [2.9K]
f(x)=x^2\\\\f(x)=(x-0)^2+0\\\\g(x)=(x-3)^2+9

x moves from 0 to 3 ⇒ 3 units right
y moves from 0 to 9 ⇒ 9 units up

Answer B.
8 0
3 years ago
Find the product of 5 2/3 and 4 1/2. Express your answer in simplest form.
Rufina [12.5K]

25 1/2 Answer

may be this is helpful!

7 0
3 years ago
Writing are the equations m + 3 = -5 and m = -2 equivalent? explain
arsen [322]
M + 3 = -5
m = -5 - 3
m = - 8

and m = -2

no, they are not equivalent because they do not equal.
5 0
4 years ago
A 54-foot piece of siding is cut into three pieces so that the second piece is three times as long as the first piece and the th
LiRa [457]

Answer:

The lenght of the first piece is 6 feet.

The lenght of the second piece is 18 feet.

The lenght of the third piece is 30 feet.

Step-by-step explanation:

Let be:

x the lenght of the first piece (in feet).

3x the lenght of the second piece (in feet).

5x the lenght of the third piece (in feet).

You know that the total lenght of the  piece of siding is 54 feet. This means that:

x+3x+5x=54

Having this expression, you can solve for "x":

9x=54\\\\x=\frac{54}{9}\\\\x=6

Therefore, the lenght of the first piece is 6 feet.

Then:

3x=3(6)=18 (The lenght of the second piece is 18 feet)

5x=5(6)=30 (The lenght of the third piece is 30 feet)

6 0
3 years ago
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