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3 years ago

11

Mrs. Acquino cuts 1 2 of a piece of construction paper. She uses 1 5 of the piece to make a flower. What fraction of the sheet o

f paper does she use to make the flower?

1 answer:

Ainat [17]3 years ago

5 0

Answer:She uses ¹/₁₂ of the sheet of paper to make the flower

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3 years ago

The circle below is centered at the point (4,3) and has a radius of length 5.

Lilit [14]

Answer:

B. (x-4)^2 + (y - 3)^2 = 5^2

Step-by-step explanation:

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3 years ago

You and your friend live 12 miles apart. you leave home at the same time and travel ttoward eacth other.you walk at the rate of

mr Goodwill [35]

Step 1: Assign variable for the unknown that you need to find.

$d_w \; \rightarrow \; Distance \; you \; traveled \; by \; walk \; in \; miles \\ d_c \; \rightarrow \; Distance \; traveled \; by \; your \; friend \; using \; bicycle \; in \; miles \\ t \; \rightarrow \; Time \; Taken \; in \; hours$

Step 2: List the given details

Distance between you and your friend is 12 miles. It means the total distance traveled by you by walk and your friend using bicycle when both travel towards each other to meet in 't' hours

Equation 1:

$d_w+d_c=12$

Your Walking rate and your friends Cycling rate is given below:

$r_w=4mph\\r_c=11mph$

Step 3: Set up an equation using the relationship between distance, time and rate.

$Distance=Rate \times Time$

$d_w=r_w \times t=4t \\\\ d_c = r_c \times t = 11t$

Substituting the above in equation 1

$4t+11t=12 \\ Combining \; Like \; Terms \\\\ 15t=12 \\ Dividing \; 15 \; on \; both \; sides \\\\ 15t \div 15=12 \div 15 \\\\ t=0.8 hours$

Distance traveled by you by walking from home and distance travelled by your friend in cycle in 0.8 hours is given below:

$d_w=4t=4(0.8)=3.2miles \\\\ d_c=11t=11(0.8)=8.8miles$

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3 years ago