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Marta_Voda [28]
3 years ago
5

Tammy wants to run at least 10 miles per week. So far this week she ran 4.5 miles. How many more miles must Tammy run this week

to reach her goal?​
Mathematics
2 answers:
Llana [10]3 years ago
8 0

Answer:

Tammy must run 5.5 miles more this week to reach her goal

Step-by-step explanation:

10 miles - 4.5 mies = 5.5 miles

Mila [183]3 years ago
4 0
She needs to run at least 10 miles per week. We know that she has already ran 4.5 miles. We can use the equation 10 - 4.5 to find out how much miles she needs to run. 10 - 4.5 is 5.5.

The answer is 5.5 more miles.
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Given that ABC~LMN<br> What is the length of AC?
sleet_krkn [62]

Answer:

B. 12

Step-by-step explanation:

✔️Find the value of x

The side lengths of two similar triangles are always proportional.

Given that ∆ABC ~ ∆LMN, therefore:

\frac{AB}{LM} = \frac{AC}{LN}

AB = 5

LM = 10

AC = x + 5

LN = 3x + 3

Plug in the values

\frac{5}{10} = \frac{x + 5}{3x + 3}

Cross multiply

5(3x + 3) = 10(x + 5)

15x + 15 = 10x + 50 (distributive property)

Collect like terms

15x - 10x = -15 + 50

5x = 35

Divide both sides by 5

x = 7

✔️Find AC

AC = x + 5

Plug in the value of x

AC = 7 + 5

AC = 12

6 0
3 years ago
You have 55,000 in your savings account that pays 2.5% annual interest and the inflation rate is 3.4%. How much buying power wil
diamong [38]
We solve the question as follows:
Simple interest=Principle×Rate×Time
Thus given:
p=$55000, R=2.5%, time= 1 year
thus
Interest=55000×0.025×1=$1375

To evaluate the amount required to keep up with the inflation, your interest rate should match the inflation rate otherwise prices are going up faster than the savings.
Required interest rate=55000×0.034×1=$1870

The buying power lost will be the difference between your required interest and actual interest.

Thus:
Buying power lost=1870-1375=$495

8 0
3 years ago
76 cm a 52 cm Find the area of the regular pentagon (the answer has one digit after the decimal point)​
alekssr [168]

Answer:

98.8 cm²

Step-by-step explanation:

Hi there!

A=\frac{1}{2} Pa where P is the perimeter of the pentagon and a is the apothem (the line going from the center of the pentagon one edge)

<u>1) Find the perimeter</u>

P=5l where l is the side length

Plug in the side length 7.6 cm

P=5(7.6)\\P=38

Therefore, the perimeter of the pentagon is 38 cm.

<u>2) Find the area</u>

A=\frac{1}{2} Pa

Plug in the perimeter (38) and the apothem (5.2)

A=\frac{1}{2} (38)(5.2)\\A=\frac{1}{2} (38)(5.2)\\A=\frac{1}{2} (197.6)\\A=98.8

Therefore, the area of the pentagon is 98.8 cm².

I hope this helps!

5 0
3 years ago
2.16 as a fraction in simplest form <br><br> please explain if you can it would help a lot!
Ludmilka [50]

Answer:

54/25

Step-by-step explanation:

54/25 is the simplest form of 2.16 when writing as a fraction.

5 0
3 years ago
Is {(5, 12), (-4,9), (-2,-7), (-4,0), (3, 2)}<br> A function? Please help me
Anna71 [15]

Answer:

Not a function

Step-by-step explanation:

(-4,9), (-4,0)   : one input (-4) with 2 output -9 , 0

6 0
3 years ago
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