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harkovskaia [24]
3 years ago
14

Please help me!I will give you 44 points

Mathematics
1 answer:
fiasKO [112]3 years ago
8 0

Answer:

a) 5/4

b) y = 5/4x + 27

Step-by-step explanation:

To find the gradient of a line, simply change the equation into slope intercept form (y = mx + b), where b is the y-intercept and m is the slope.

4y - 5x = 2

4y = 5x + 2

y = 5/4x + 1/2

m(gradient) = 5/4

For lines to be parallel, simply keep the gradient the same.  Any line with a gradient, or slope, of 5/4 will be parallel. As such, simply keep the first two terms identical, and change the y-intercept into any number.

Hope it helps :)

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A student uses the ratio of 4 oranges to 6 fluid ounces to
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A student uses the ratio of 4 oranges to 6 fluid ounces to find the number of oranges needed to make 24 fluid ounces of juice. The student writes the proportion:4/6=24/16

8 0
3 years ago
The Jenkins family and the Alexander family each used their sprinklers last summer. The water output rate for the Jenkins
garik1379 [7]

Answer:

Jenkins: 25 hours Alexanders: 20 hours

Step-by-step explanation:

To solve this problem we need to set up two equations. We know the rates of each sprinkler's output and how much total water was output. We know how many hours the sprinklers were on. We are looking for how long each sprinkler was used.

We can make a represent hours because we know the rate of sprinkler's output is per hour.

25a+40b=1425

a+b=45

Now to solve this system of equations we need to isolate a variable on one equation to plug into the other.

a+b=45

a=45-b

Now we can plug this in for a in the other equation.

25a+40b=1425

25(45-b)+40b=1425

Distribute 25 into the parenthesis.

1125-25b+40b=1425

1125+15b=1425

15b=300

b=20

Now we know that the Alexander family used their sprinklers for 20 hours. We can plug this back into the other equation to find b.

a+b=45

a+20=45

a=25

The Jenkins used the sprinklers for 25 hours, and the Alexanders used them for 20 hours.

3 0
3 years ago
Find the real zeros of the following function, and plot them on the graph. f(x)=(x^4-16)(x^2+3x-18)
vivado [14]

the 0 are 2, 3 and -6. ....

4 0
3 years ago
Read 2 more answers
HELP PLEASE ASSIGNMENT DUE TONIGHT SHOW WORK BELOW
alisha [4.7K]

Answer:

1017.9

Step-by-step explanation:

Find the area of the circle on top first using 3.14*r^2

3.14*9^2 = 254.5

Multiply this number by the height, 4

254.34*4 = 1017.9

8 0
3 years ago
Multi-Select Technology-Enhanced
larisa86 [58]

Answer:

1,6

-5,9

2,3

Step-by-step explanation:

8 0
3 years ago
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