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2 years ago

$297.89 with a 9.5% tax

Mathematics

1 answer:

Serjik [45]2 years ago

3 0

The exact answer is 326.18955. So about $316.19

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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:

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

8 0

3 years ago

HELP ILL MARK BRAINLIEST

bonufazy [111]

Answer:

-5c

Step-by-step explanation:

c+c-7c > 2c-7c = -5c

5 0

3 years ago

Eddie bought 27 2/5 inches of wire for a home improvement project. How many 12 inches sections can he make from it?

goblinko [34]

Simply divide your wire by 12 and cut off the excess (as it cannot make a full 12-inch section).

27 $\frac{2}{5}$ ÷12=2 $\frac{17}{60}$

So you have two 12-inch sections and an additional 3.4-inch section.

3 0

2 years ago

Solve –16t² +144= 0 to find the number of seconds, t, it takes for an object dropped from 144 ft above the ground to hit the gro

Vlad1618 [11]

Answer:

h(t) = -16t2 + 144

h(1) = -16(12) + 144 = 128 ft

h(2) = -16(22) + 144 = 80 ft

h(2) - h(1) = 80 - 128 = -48 ft

It fell 48 ft between t = 1 and t = 2 seconds.

It reaches the ground when h(t) = 0

0 = -16t2 + 144

t = √(144/16) s = 3s

It reaches the ground 3s after being dropped.

Step-by-step explanation:

6 0

2 years ago

Mrs. Larnell is making snacks for a class picnic. She puts 1/4 pounds of apples,1/8 pound of nut mix,and 1/16 pound of chocolate

Tasya [4]

$\frac{1}{4}:\frac{1}{8}:\frac{1}{16}\\\frac{1}{4}*24:\frac{1}{8}*24:\frac{1}{16}*24\\\frac{24}{4}:\frac{24}{8}:\frac{3}{2}\\6:3:1.5\\6+3+1.5=9.5$

9 pounds 8 ounces

6 0

2 years ago

$297.89 with a 9.5% tax​

$297.89 with a 9.5% tax