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Tcecarenko [31]

3 years ago

5

ASAP Please! Benjamin's age is 6 years less than twice Lucas's age. If Benjamin is 12 years old, how old is Lucas? Choose the an

swer below that is a viable solution to this problem. A. 3 B. 5 C. 7 D. 9

1 answer:

FinnZ [79.3K]3 years ago

3 0

Answer:

9

Step-by-step explanation:

First add 6 to Benjamin's age to make it 18, which is twice Lucas's age. Because it's twice as much, divide 18 by 2 to get 9.

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The table shows a company’s profit based on the number of pounds of food produced.

Bingel [31]

Answer:

$5,300

Step-by-step explanation:

Formulae used,

$a=\dfrac{(\sum x^2y\sum xx)-(\sum xy\sum xx^2)}{(\sum xx\sum x^2x^2)-({\sum xx^2)}^2}$

$b=\dfrac{(\sum xy\sum x^2x^2)-(\sum x^2y\sum xx^2)}{(\sum xx\sum x^2x^2)-({\sum xx^2)}^2}$

$c=\dfrac{\sum y}{n}-b\frac{\sum x}{n}-a\frac{\sum x^2}{n}$

Where,

$\sum xx=\sum x^2-\dfrac{(\sum x)^2}{n}$

$\sum xy=\sum xy-\dfrac{\sum x\sum y}{n}$

$\sum xx^2=\sum x^3-\dfrac{\sum x\sum x^2}{n}$

$\sum x^2y=\sum x^2y-\dfrac{\sum x^2\sum y}{n}$

$\sum x^2x^2=\sum x^4-\dfrac{(\sum x^2)^2}{n}$

Putting the values from the table, we get the best fit line as,

$y= -0.0817x^2 + 102.24x - 20421$

As we want to calculate the profit at 350 pounds, so putting x=350, we get

$y= -0.0817(350)^2 + 102.24(350) - 20421=\$5354.75$

5 0

4 years ago

Read 2 more answers

What is the probability of getting a spade or a red card?

Verdich [7]

Answer:

3/4

Step-by-step explanation:

1/2 the deck is red cards.

1/4 of the deck is spades.

There are no spades that are red cards, so the probability of drawing a red card or a spade at random from a well-shuffled deck is ...

1/2 + 1/4 = 3/4

5 0

3 years ago

suppose the cheetah sprinted at maximum speed for 8 minutes then slowed to 40mph the next 8 minutes how far would the cheetah ha

gtnhenbr [62]

The cheetah traveled 15.334 miles approximately.

<u>SOLUTION:</u>

Given, Suppose the cheetah sprinted at maximum speed for 8 minutes

Then, slowed to 40mph the next 8 minutes

We have to find how far would the cheetah have traveled

Now, we know that, maximum speed of cheetah is 68 – 75 mph, as we want maximum we are taking 75 which greater than 68.

So, cheetah sprinted at 75 mph for 8 minutes and then sprinted at 40 mph for next 8 minutes.

First let us convert 8 minutes into hours,

$\rightarrow 8 \text { minutes }=8 \times \frac{1}{60}=\frac{2}{15} \text { hours }$

Total distance traveled = distance traveled with 75 mph speed + distance traveled with 40 mph speed

$\begin{array}{l}{\text {distance}=\text {speed} \times \text {time}} \\\\ {\text {Total distance}=75 \mathrm{mph} \times \frac{2}{15} \text { hours }+40 \mathrm{mph} \times \frac{2}{15} \text { hours }} \\\\ {\text { Total distance }=5 \times 2+8 \times \frac{2}{3}=10+\frac{16}{3}=10+5.334=15.334}\end{array}$

Hence, the cheetah traveled 15.334 miles approximately.

6 0

3 years ago

Read 2 more answers

Whitepunk [10]

<span>35.3529411765 that is the answer

</span>

7 0

4 years ago

3x−(2x+1) for x=7 5/13

marusya05 [52]

Answer:

83/13 or 6.3846

Step-by-step explanation:

i subsituted for x and used a calculator

8 0

4 years ago