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Maslowich
3 years ago
12

Equivalent Expression notes

Mathematics
2 answers:
melomori [17]3 years ago
5 0
Equivelant expession
Sedbober [7]3 years ago
3 0

Answer:

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).

Step-by-step explanation:

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Linda can bicycle 48 miles in the same time as it takes her to walk 12 miles. She can ride 9 mph faster than she can walk. How f
Marrrta [24]

Answer:

\frac{48}{r+9}=\frac{12}{r}

Step-by-step explanation:

Let r represent Linda's walking rate.                      

We have been given that Linda can ride 9 mph faster than she can walk, so Linda's bike riding rate would be t+9 miles per hour.

\text{Time}=\frac{\text{Distance}}{\text{Rate}}

We have been given that Linda can bicycle 48 miles in the same time as it takes her to walk 12 miles.

\text{Time while riding}=\frac{48}{r+9}

\text{Time taken while walking}=\frac{12}{r}

Since both times are equal, so we will get:

\frac{48}{r+9}=\frac{12}{r}

Therefore, the equation \frac{48}{r+9}=\frac{12}{r} can be used to solve the rates for given problem.

Cross multiply:

48r=12r+108

48r-12r=12r-12r+108

36r=108

\frac{36r}{36}=\frac{108}{36}

r=3

Therefore, Linda's walking at a rate of 3 miles per hour.

Linda's bike riding rate would be t+9\Rightarrow 3+9=12 miles per hour.

Therefore, Linda's riding the bike at a rate of 12 miles per hour.

7 0
3 years ago
Jim earns a regular hourly rate of $5 and a premium hourly rate of $6 He worked 45 Hours last week what is his gross pay
denpristay [2]
(40*5)+(5*6)=200+30 = 230

answer: $230
6 0
4 years ago
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Use the multiplication table. Describe a pattern you see.
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Answer:

Each number increases by 3.

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3 years ago
Mei Ling has 200 coins. 25% of these coins are $1 coins. She wants to increase the number of $1 coins to 40%. How many $1 coins
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2 years ago
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5. While still in the hospital, the doctor writes an order for an antibiotic at 300mg/kg daily. You are nervous now because the
Scilla [17]

The correct answer is 16737 mg

Explanation:

The first step to solve this problem is to convert the weight to kilograms because the dosage of the antibiotic is given in milligrams per kilo. This can be done by multiplying the pounds by 0.453 considering each pound is equal to 0.453 kilos. The process is shown below:

123 lb x 0.453 = 55.791 kg

Now, simply multiply the kilos by the recommended dose:

55.791 kg x 300 mg/kg = 16737 mg

Also, this can be converted to grams by dividing the number into 1000 (1000 mg = 1 g)

16737mg ÷ 1000 =  16.737 grames

4 0
3 years ago
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