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Marizza181 [45]
3 years ago
12

A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sur

e to include the correct unit in your answer.
Mathematics
1 answer:
Tanzania [10]3 years ago
7 0
8-5 = 3, 6-4 = 2 so the sides of triangle are 3 and 2, now using the formula 1/2 *a * b we get 3*2/2 = 3 The answer is 45
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Two roots of a third degree polynomial function f(x) are 4 and 4. Which statement describes the number and nature of all roots
VladimirAG [237]

Answer:f(x) has three real roots

Step-by-step explanation:

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2 years ago
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Help. Solving Multi Step Ratio Problems!
Romashka-Z-Leto [24]

Answer:

Part 1) 30\ coupons

Part 2) 12\ sandwiches

Part 3) 60\ push-ups

Part 4) 96\ minutes

Part 5) \$95

Part 6) 1\frac{7}{8}\ cups\ of\ pretzel

Step-by-step explanation:

Part 1) we know that

At the Green House of Salad , you get a $1 coupon for every 3 salads you buy

so

Using proportion

Find out the number of salads you could buy to get $10 in coupons

\frac{1}{3}=\frac{10}{x} \\\\x=3(10)\\\\x=30\ coupons

Part 2) we know that

Kim orders catering for $35

She spend $5 on a large order of potato salad and the rest on turkey sandwiches

Each sandwich is $2.50

How many sandwiches does Kim buy?

step 1

Find out how many Kim spent on turkey sandwiches

Subtract $5 from $35

35-5=$30

step 2

Using proportion, find out the number of sandwiches

so

\frac{1}{2.50}=\frac{x}{30}\\\\x=30/2.50\\\\x= 12\ sandwiches

Part 3) we know that

Molly does 10 push-ups at the same time as Liza does  15 push-ups

so

Using proportion

Find out how many push-ups Liza does when Molly does 40 push-ups

\frac{10}{15}=\frac{40}{x}\\\\x=15(40)/10\\\\x=60\ push-ups

Part 4) we know that

A shark swim at a speed of 25 miles per hour

The shark rest after 40 miles

How long in minutes, does the shark swim before resting?

Using proportion

Find out how long in minutes the shark swim 40 miles

Remember that

1\ h=60\ min

\frac{25}{60}\ \frac{miles}{minutes}=\frac{40}{x}\ \frac{miles}{minutes}\\\\x=60(40)/25\\\\x=96\ minutes

Part 5) we know that

For every bar of soap that Aly sells, she earns $5

For every mug that Janet sells, she earns twice as much as Aly

Aly sells 5 bars of soap and Janet sells 7 mugs

How much money did they make altogether?

step 1

Find out the amount earned by Aly

using proportion

\frac{1}{5}=\frac{5}{x}\\\\x=5(5)\\\\x=\$25

step 2

Find out the amount earned by Janet

Remember that

For every mug that Janet sells, she earns twice as much as Aly

so

For every mug that Janet sells, she earns 2($5)=$10

using proportion

\frac{1}{10}=\frac{7}{x}\\\\x=10(7)\\\\x=\$70

step 3

Adds the amount earned by Aly plus the amount earned by Janet

25+70=\$95

Part 6) we know that

Ted is making trail mix for a party

He mixes 1 1/2 cups of nuts, 1/4 cup of rising and 1/4 cup of pretzel

How many cups of pretzel does Ted need to make 15 cups of trail mix?

Adds the quantities

1\frac{1}{2}+\frac{1}{4} +\frac{1}{4}=2\ cups\ of \ trail\ mix

That means

For every 2 cups of trail mix we need 1/4 cup of pretzel

using proportion

Find out how many cups of pretzel does Ted need to make 15 cups of trail mix

\frac{2}{(1/4)}=\frac{15}{x}\\\\x=15(1/4)/2\\\\x=\frac{15}{8}\ cups\ of\ pretzel

Convert to mixed number

\frac{15}{8}=\frac{8}{8}+\frac{7}{8}=1\frac{7}{8}\ cups\ of\ pretzel

6 0
3 years ago
Whoever answer is the best gets brainlist
Otrada [13]
The answer is 18^8 because u add exponents

8 0
3 years ago
Read 2 more answers
Sixty percent (60%) of those who attended the soccer game were parents. There were 120 people who
IrinaVladis [17]

Answer:

72

Step-by-step explanation:

<u>Given:</u>

There were 120 people in total.

60% were parents.

<u>To find:</u>

Number of parents attended.

Solution:

1. 60% of 120

It can also be written as:

\frac{60}{100}\times \frac{120}{1}

Simplify

  • Cancel zeros

\frac{60}{100}\\\\=\frac{6}{10}

  • Divide by common factor (2)

\frac{6\div2}{10\div2}=\frac{3}{5}

2. \bold{\frac{3}{5}\times \frac{120}{1}}

Multiply

\frac{3\times120}{5\times1} = \frac{360}{5}

Divide

\frac{360}{5}= 360\div5=72

Therefore, 72 parents attended the game.

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2 years ago
What is the decimal multiplier to increase by 2.5%
Ivahew [28]
%100 x 2,5 is the answer
7 0
3 years ago
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