All categories

4 years ago

Given the point (3, 4) and the slope of 6, find y when x = 27

Mathematics

2 answers:

mestny [16]4 years ago

5 0

48 I am sure this is the answer

Mumz [18]4 years ago

4 0

You have to use y=mx+b
so you plug it in 4=6(3)+b
subtract 18 from both sides
-14=b
b is the y-intercept so it would be .... y=6x-14
you plug 27 in for x
y=6(27)-14
y=148

You might be interested in

A random sample of 35 business students required an average of 50.7 minutes to complete a statistics exam. Assume that the popul

love history [14]

Answer:

(47.3, 54.1)

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96\frac{10.4}{\sqrt{35}} = 3.4$

The lower end of the interval is the sample mean subtracted by M. So it is 50.7 - 3.4 = 47.3

The upper end of the interval is the sample mean added to M. So it is 50.7 + 3.4 = 54.1

The answer is (47.3, 54.1).

6 0

3 years ago

Matt gets paid at home for doing extra chores. Last week, he did 6 loads of laundry and 1

emmasim [6.3K]

Matt earns $4 and $3 for 1 load of laundry and 1 load of dishes respectively

<u>Solution:</u>

Given, Matt gets paid at home for doing extra chores.

We have to find How much does Matt earn for completing each type of chore?

Let the amount for 1 load of laundry be m and amount for 1 load of dish be n.

Now, last week, he did 6 loads of laundry and 1 load of dishes, and his parents paid him $27.

Then, 6 $\times$ amount for 1 load of laundry + 1 $\times$ amount for 1 load of dish = 27

$\rightarrow 6 \mathrm{m}+\mathrm{n}=27 \rightarrow(1)$

The week before, he finished 1 load of laundry and 9 loads of dishes, earning a total of $31

Then, 1 $\times$ amount for 1 load of laundry + 9 $\times$ amount for 1 load of laundry = 31 ⇒m + 9n = 31 ⇒ (2)

Now let us solve equations (1) and (2)

0 – 53n = - 159

-53n = -159

53n = 159

n = 3

Now, substitute n value in (1) ⇒ 6m + 3 = 27 ⇒ 6m = 24 ⇒ m = 4

Hence, matt earns $4 and $3 for 1 load of laundry and 1 load of dishes respectively.

8 0

4 years ago

You buy five books that are equal in

Georgia [21]

Answer:

5x+8=26.50

Step-by-step explanation:

Because the books are equal in price, we can use x to represent the price of the books and 5 to represent the amount, so it would be written as 5x. Then we add 8 because that's the price of the one DVD. It tells the total is 26.50, so the full equation written would be <u>5x+8=26.50</u>

4 0

3 years ago

Read 2 more answers

a particular school has a teacher to a student ratio of a 1 teacher to 11 students. Are there more teachers or students explain

TEA [102]

Read it carefully. It's telling you the answer in the problem! There is one teacher for every 11 students. Of course there are more students!

7 0

3 years ago

A culture started with 2,000 bacteria. After 8 hours, it grew to 2,400 bacteria. Predict how many bacteria will be present after

Debora [2.8K]

Answer:

2950 [Starting from 2,000 bacteria.]

Step-by-step explanation:

400/8 = 50

Bacteria grown/time = bacteria per hour

19x50 = 950

time x bacteria per hour = bacteria grown

2000 + 950

bacteria started + bacteria grown

6 0

3 years ago