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goldfiish [28.3K]
2 years ago
13

Adriana writes the equation y = 2x + 4 to represent a line on a graph. Henry writes an equation that has a y-intercept that is 1

unit lower on the graph but has the same slope as Adriana’s line. Which is Henry’s equation? y = x + 4 y = 3x + 4 y = 2x + 3 y = 2x + 5
Mathematics
1 answer:
grigory [225]2 years ago
3 0

Answer:

it is y = 2x + 3

Step-by-step explanation:

i just took the test

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liquid product with 10% product solids is blended withsugar before being concentrated (removal of water) to obtaina final produc
Nookie1986 [14]

Answer:

mass of the water removed =  66.67 kg

Step-by-step explanation:

given data

solids is blended with sugar = 10%

obtain  final product = 15% product

obtain  final product = 15% sugar solids

The initial product is = 200 kg

solution

we get here amount of sugar required that is

amount of sugar required = 200 × \frac{10}{100}

amount of sugar required =  20 kg

and we know total solid  = product solids +  sugar solids    ...............1

and

initial product =  final product    

so

0.20 ×  200kg= 0.30 ×  mass of the final product

mass of final product = 133.33 kg

but here

final product = 15% product solids and 15% sugar solids

so that amount of product solid = sugar solid

so

mass of the water removed = 200 kg - 133.33 kg

mass of the water removed =  66.67 kg

7 0
2 years ago
A store has a $120 dress. Then there is a 200% increase in the price of the dress. What is the final price of the dress?
LenKa [72]

Multiply 120 by 200 percent and you would get 240, then you would add 240 and 120 to get 360.

7 0
2 years ago
Find the value of the linear correlation coefficient r. The paired data below consist of the temperatures on randomly chosen day
n200080 [17]

Answer:

n=9 \sum x = 530, \sum y = 243, \sum xy = 14615, \sum x^2 =32656, \sum y^2 =8245  

And replacing the info we got:

r=\frac{9(14615)-(530)(243)}{\sqrt{[9(32656) -(530)^2][9(8245) -(243)^2]}}=0.1955  

So then the correlation coefficient would be r =0.1955

Step-by-step explanation:

Data given

Temperature (x) 62 76 50 51 71 46 51 44 79

Growth (y) 36 39 50 13 33 33 17 6 16

Solution

The correlation formula is given by:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

For our case we have the following sums:  

n=9 \sum x = 530, \sum y = 243, \sum xy = 14615, \sum x^2 =32656, \sum y^2 =8245  

And replacing the info we got:

r=\frac{9(14615)-(530)(243)}{\sqrt{[9(32656) -(530)^2][9(8245) -(243)^2]}}=0.1955  

So then the correlation coefficient would be r =0.1955

6 0
2 years ago
Two cells are viewed and measured under a microscope. The approximate diameter
nikklg [1K]

Answer:

option D. 4.7 x 10-4 m

Step-by-step explanation:

<u><em>The correct question is</em></u>

• cell P: 5.0 x 10-4 meters

• cell Q: 3.0 x 10-5 meters

we have            

The diameter of cell P is  5*10^{-4}\ m

The diameter of cell Q is  3*10^{-5}\ m

Rewrite the diameter of cell P as    

5*10^{-4}\ m=5*10^{-4}(\frac{10}{10})=50*10^{-5}\ m

Find the difference

50*10^{-5}\ m-3*10^{-5}\ m=47*10^{-5}\ m

Rewrite the difference as

47*10^{-5}\ m=47*10^{-5}}(\frac{10}{10})=4.7*10^{-4}\ m

7 0
2 years ago
bookstore ordered 1,528 packs of pens and 1,823 packs of pencils at the prices shown. how much did the bookstore spend on pens?
IgorC [24]
I found that the given prices are $ 4 per pack of pens and $ 3 per pack of penciles.

The question is how much the bookstore spent on pens.

Then you have to multiply the number packs of pens, which is 1,528, times the price per pack pens which is $ 4.

So, the answer is: 1528 packs of pens * $ 4 / pack of pens = $6112.


8 0
2 years ago
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