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2 years ago

8

Lamar shares 6 pencils equally with himself and 5 friends. Write an equation and solve to show the number of pencils each friend

receives.

2 answers:

erica [24]2 years ago

5 0

6 divided by 6 equals 1. So each person gets one

kkurt [141]2 years ago

3 0

6 pencils÷ lamer+5 other friends=1.1 pencil for each person

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The value of a rare painting has increased each year since it was found at a garage sale. The value of the painting is modeled b

solmaris [256]

799 represents the initial value of the painting

The painting will be worth $926 after 5 years to the nearest dollar

Step-by-step explanation:

The form of the exponential function is $f(x)=a(b)^{x}$ , where

a is the initial value ⇒ (at x = 0)
b is the growth/decay factor ⇒ (rate of change)
If b > 1, then the function is growth ⇒ (increasing)
If 0 < b < 1, then the function is decay ⇒ (decreasing)

The value of a rare painting has increased each year since it was

found at a garage sale

The value of the painting is modeled by the function $f(x)=799(1.03)^{x}$

We need to know what 799 represents and what the painting will

be worth after 5 years

∵ $f(x)=799(1.03)^{x}$

∵ The form of the function is $f(x)=a(b)^{x}$

- By comparing the two forms

∴ a = 799 and b = 1.03

∵ a is the initial value at x = 0

∴ 799 represents the initial value of the painting

∵ x represents the number of years

∴ x = 5

- Substitute the value of x in the function by 5

∵ $f(5)=799(1.03)^{5}$

∴ f(x) = 926.26

∴ The painting will be worth $926 after 5 years to the nearest dollar

799 represents the initial value of the painting

The painting will be worth $926 after 5 years to the nearest dollar

Learn more:

You can learn more about the functions in brainly.com/question/10382470

#LearnwithBrainly

6 0

2 years ago

A survey on healthy choices was given to gym members at Work It Out. The results

irina [24]

Answer:

The correct option is 4) 0.72.

Step-by-step explanation:

Consider the provided information.

Let us consider that there are 100 members.

(Note: you can take any number the answer will remain the same.)

90% of its members drank protein shakes and of the members who drank protein shakes.

90% of 100 is 90.

Thus, 90 members drank protein shake.

Of the members who drank protein shakes, 30% took weight-loss medication.

30% of 90 is 27.

That means 27 out of 90 took weight loss medication.

Out of 100 members 90 drank protein shakes that means 10 members does not take protein shakes.

Only 10% of members who did not drink protein shakes took weight-loss medication.

10% of 10 is 1, that means 1 member out of 10 took weight loss medication.

Thus the required table is:

Medication Not Medication Total

Drank shakes 27 63 90

Doesn't Drank shakes 1 9 10

Total 28 72 100

Now we need to find the probability that a gym member does not take weight-loss medication.

72 out of 100 members does not take weight-loss medication.

Therefore, the required probability is: $\frac{72}{100}=0.72$

Hence, the correct option is 4) 0.72.

5 0

2 years ago

The triangle shown below has an area of 121212 units^2 <br> 2<br> squared.<br> Find xxx.

dalvyx [7]

Answer:

4

Step-by-step explanation:

Let's set up an equation using the formula for the area of a triangle.

Hint #22 / 3

\begin{aligned} \text{Area of a triangle} &= \dfrac12 \cdot \text{base} \cdot \text{height}\\\\ 12&= \dfrac12 \cdot 6 \cdot x \\\\ 12&= 3x \\\\ \dfrac{12}{\blueD{3}}&= \dfrac{3x}{\blueD{3}} ~~~~~~~\text{divide both sides by } {\blueD{ 3}}\\\\ \dfrac{12}{\blueD{3}}&= \dfrac{\cancel{3}x}{\blueD{\cancel{3}}}\\\\ x &=\dfrac{12}{\blueD{3}}\\\\ x &=4\end{aligned}

Area of a triangle

12

12

3

12

3

12

x

x

=

2

1

⋅base⋅height

=

2

1

⋅6⋅x

=3x

=

3

3x

divide both sides by 3

=

3

3

x

=

3

12

=4

5 0

2 years ago

The slope, m, of a linear equation can be found using the formula m = StartFraction y 2 minus y a Over x 2 minus x 1 EndFraction

aniked [119]

Answer:

y2 = m(x2-x1)+y1

Step-by-step explanation:

Given the formula for finding the slope of a linear equation to be;

m = y2-y1/x2-x1 where x and y are from the ordered pairs (x1,y1) and (x2,y2)

To get the equivalent equation for y2, we will make y2 the subject of tbw formula from the equation as shown:

m = y2-y1/x2-x1

Cross multiplying

m(x2-x1) = y2-y1

mx2-mx1 = y2-y1

Adding y1 to both sides of the equation we have;

mx2-mx1 + y1= y2-y1+y1

y2 = mx2-mx1 + y1

y2 = m(x2-x1)+y1

This gives the resulting equation to solve for y2

6 0

2 years ago

The water under a draw bridge was 15 feet deep at midnight. As the tide went out, the

Vsevolod [243]

Answer:

80 minutes or 1 h 20 minutes

Step-by-step explanation:

15-13=2

2/0.025=80

So we can conclude that it takes 80 minutes till it reaches 13 feet.

7 0

2 years ago