Write the fraction or decimal as a percent #1. 0.622 ,#2. 0.303 #3. 2.45

Write the equation for the line that goes through point (1, 1) with slope m = -9

DENIUS [597]

1) Since we have the slope, and one point we can find that linear equation using this point-slope formula. Plugging them we have:

$\begin{gathered} (y-y_0)=m(x-x_0) \\ y-1=-9(x-1) \\ y-1=-9x+9 \\ y=-9x+9+1 \\ y=-9x+10 \end{gathered}$

2) Note that we had to add 1 to both sides, to keep the "y "on the left.

3) Therefore, y=-9x+10 is the answer.

7 0

1 year ago

I’m confused on this one

expeople1 [14]

Hi,

Perimeter AEDCB=3*10+15+20=65 (units)

Ratio of the similitude r*15=21==>r=21/15=1.4

Perimeter RQPTS=65*1.4=91(units)

3 0

3 years ago

Ms. Ironperson and Mr. Thoro are making Avenger posters to give children when they visit Avenger Academy. Ms. Ironperson has com

nekit [7.7K]

Answer:

1) When this does happen, how many posters will each Avenger have completed?

24 posters each.

2) If x denotes the number of days and y denotes the number of posters, what are the equations needed to solve this problem?

y = 12 + 6x.......... Equation 1

y = 12x .......... Equation 2

Step-by-step explanation:

1) When this does happen, how many posters will each Avenger have completed?

We are told in the question:

Number of days = x

Number of posters = y

Ms. Ironperson has completed 12 posters and will complete 6 more per day.

y = 12 + 6x.......... Equation 1

Mr. Thoro has not started yet but can make 12 per day.

y = 12x................Equation 2

Hence, the equations needed to solve this problem:

y = 12 + 6x.......... Equation 1

y = 12x .......... Equation 2

We substitute 12x for y in equation 1

y = 12 + 6x.......... Equation 1

12x = 12 + 6x

Collect like terms

12x - 6x = 12

6x = 12

x = 12/6

x = 2

Hence, since x = the number of days,

The number of days = 2 days

Substitute 2 for x in Equation 2

y = 12x .......... Equation 2

y = 12 × 2

y = 24 posters.

Since y = number of posters,

number of posters = 24 posters.

We were told in the question that, when Mr Thoro catches up with Ms Ironperson, that would both have completed the same number of posters.

Hence, both Avengers would have completed 12 posters each.

7 0

3 years ago

An apple farm claims that the average weight of all their apples is 8oz. A sample of 20 apples were picked that had a mean of 7.

Nimfa-mama [501]

Answer:

The mean apple weight is different from 8oz

Step-by-step explanation:

Claim : An apple farm claims that the average weight of all their apples is 8oz.

$H_0:\mu \neq 8\\H_a:\mu = 8$

n = 20

Standard deviation =s = 0.95

Since n < 30

So we will use t-test

x = 7.77

$t =\frac{x-\mu}{\frac{s}{\sqrt{n}}}$

Substitute the values :

$t =\frac{7.77-8}{\frac{0.95}{\sqrt{20}}}$

$t =−1.0827$

Since we are not given the significance level

So, we will take 5%

So,α = 0.05

Degree of freedom = df = n-1 = 20-1 = 19

So, using t table

$t_{\frac{\alpha}{2} , df}=2.093$

Since t critical > t statistic

So, we accept the null hypothesis.

So, The mean apple weight is different from 8oz

5 0

3 years ago

-4(3x + 2y) + 6(-2x - 5y)

8090 [49]

Answer:

-2(12x+19y) for factoring

-24x-38y for simplifying the expression

Step-by-step explanation:

Let me know if its something else or if u need help with

6 0

3 years ago

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