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3 years ago

Determine if there is a proportional relationship between the two quantities. Explain your reasoning.

Mathematics

2 answers:

Helen [10]3 years ago

5 0

Answer:

Hold on a minute, gotta let my brain wake up.

Step-by-step explanation:

Katyanochek1 [597]3 years ago

3 0

Two quantities are proportional if their ratio is constant. Let's check the ratios:

$\dfrac{20}{8}=2.5,\quad \dfrac{12.5}{5}=2.5$

So, the two quantities appear to be proportional, and the constant seems to be 2.5.

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If 32% of a number is 64, what is the number?

Verdich [7]

Hey!

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Steps To Solve:

~Turn into decimal

32% = 0.32

~Divide

64 / 0.32 = 200

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Hence, the answer is $\Large\boxed{\mathsf{200}}$

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Hope This Helped! Good Luck!

7 0

3 years ago

Read 2 more answers

Parker Middle School's chior needs to raise $480 for an upcoming trip they will take. At their first fundraising project, they r

harkovskaia [24]

The money does the choir still need to raise is $180.

Step-by-step explanation:

The money needed to be raised by the choir for an upcoming trip = $480.

It is given that, the money needed was raised in two fundraising projects.

During the first fundraising project :

The choir raised 25% of the money needed for the trip.

⇒ 25% of 480

⇒ (25/100) × 480

⇒ (1/4) × 480

⇒ 120

Therefore, the first fundraising project raised $120.

During the second fundraising project :

The choir raised 3/8 of the money needed for the trip.

⇒ 3/8 of 480

⇒ (3/8) × 480

⇒ 3 × 60

⇒ 180

Therefore, the second fundraising project raised $180.

To find the money does the choir still need to raise :

You need to find the remaining amount from the 480 after raising money from the two fund raising projects.

For that, find out how much you raised from those fund raising projects and subtract it from the 480.

Money needed = Total money required for the trip - Raised money

⇒ 480 - (120+180)

⇒ 480 - 300

⇒ 180 dollars.

The money does the choir still need to raise is $180.

6 0

3 years ago

4. Numbers those only factors one and itselt are called

katovenus [111]

Answer:

Prime numbes

Step-by-step explanation:

Numbers whose only factors are 1 and itself are called prime numbers.

Such numbers have only two factors.

Examples are: 2, 3, 5, 7 ,9... etc.

3 0

3 years ago

Read 2 more answers

What is the value of h when the function is converted to vertex form?

elena-s [515]

Answer: h=7

Step-by-step explanation:

By definition the function in vertex form is:

$f(x)=a(x-h)^{2}+k$

Where (h,k) is the vertex of the parabola.

You must group the terms that contain the same variable in the function:

$f(x)=(x^{2}-14x)+29$

Complete the square as following:

$f(x)=(x^{2}-14x+49)+29-49$

Now you must rewrite it as following:

$f(x)=(x-7)^{2}-20$

Then:

h=7

4 0

3 years ago

Read 2 more answers

Consider a refrigerator that consumes 320 W of elec- tric power when it is running. If the refrigerator runs only one quarter of

irinina [24]

Answer: The refrigerator cost in this month is $4.5 approximately.

Step-by-step explanation:

Since we have given that

Amount of watt of electric power = 320 W

Number of days = 30

Unit cost of electricity = $0.13/Kwh

Hold factor = $\dfrac{1}{4}$

Number of hours in a month = 24

So, the refrigerator cost in this month would be

$0.13\times 0.32\times \dfrac{1}{4}\times 30\times 24\\\\=\$7.488$

Hence, the refrigerator cost in this month is $4.5 approximately.

3 0

3 years ago