All categories

3 years ago

As a motivational speaker, Bree speaks at school assemblies, charging a school

Mathematics

1 answer:

Oksi-84 [34.3K]3 years ago

4 0

Answer:

Bree spoke at 55 assemblies in this district.

Step-by-step explanation:

Bree speaks at school assemblies charging a school district a total cost C modeled by the equation:

C(a) = 50a+1,500

Being a the number of assemblies attending the meeting.

It's given Bree charged the Escambia City School District $4,250 to speak at school assemblies.

We can find the number of assemblies by solving the equation:

50a+1,500=4,250

Subtracting 1,500:

50a=4,250-1,500=2,750

Dividing by 50;

a = 2,750 / 50=55

Bree spoke at 55 assemblies in this district.

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Tom and Becky can paint Jim's fence together in 12 hours. If all people paint at the same rate, how many hours would it take to

Delvig [45]

Answer: 8 hours

Step-by-step explanation:

Let x be the time taken by each person to paint the fence.

Given: Tom and Becky can paint Jim's fence together in 12 hours.

Since all people paint at the same rate, then we have the following equation ;-

$\dfrac{1}{x}+\dfrac{1}{x}=\dfrac{1}{12}\\\\\Rightarrow\ \dfrac{2}{x}=\dfrac{1}{12}\\\\\Rightarrow\ x=24$

Thus, the time taken by each person to paint the fence alone = 24 hours

Now, the time taken by all three paint together:-

$\dfrac{1}{t}=\dfrac{1}{24}+\dfrac{1}{24}+\dfrac{1}{24}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3}{24}\\\\\Rightarrow\ t=\dfrac{24}{3}=8\text{ hours}$

Hence, it would take 8 hours if all three paint together.

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3 years ago

A car travels 20 mph slower in a bad rain storm than in sunny weather. the car travels the same distance in 2 hrs in sunny weath

ycow [4]

You can create two equations.

"A car travels 20 mph slower in a bad rain storm than in sunny weather."

$\sf x-20=y$

Where 'x' represents speed in sunny weather and 'y' represents speed in rainy weather.

"The car travels the same distance in 2 hrs in sunny weather as it does in 3 hrs in rainy weather."

$\sf 2x=3y$

Where 'x' represents speed in sunny weather and 'y' represents speed in rainy weather.

We want to find the speed of the car in sunny weather, or 'x'. Plug in the value for 'y' in the first equation into the second equation.

$\sf \boxed{\sf x-20}=y$
$\sf 2x=3y\rightarrow2x=3(x-20)$

Distribute:

$\sf 2x=3x-60$

Subtract 3x to both sides:

$\sf -x=-60$

Divide -1 to both sides:

$\sf x=60$

So the car goes 60 mph in sunny weather.

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2 years ago

Simplify: (a4 - 6a + 5) - (a4 - 3a + 2a2 - 6)

Galina-37 [17]

(a4-6a+5)-(a4-3a+4a-6)
by expressing like term
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-6a-(-3a+4a)=-5a
5-(-6)=11
:we have-5a+11

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3 years ago

4. Find the value of the expression below for r=4 and t=2.

Katen [24]

Answer:

(a) 9

Step-by-step explanation: