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3 years ago

Write the equation of the line that is parallel to y = -6x + 10 and crosses the y-axis at -4.

Mathematics

1 answer:

ikadub [295]3 years ago

6 0

Answer:

y= -6x-4

Step-by-step explanation:

As two lines are parallel, their slope is same which is -6

Now, use:y-y1=m(x-x1)

y-(-4)= -6(x-0) (y1=-4,x1=0, cause the equation of y axis is x=0)

So,y= -6x-4

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a car deceased in value by 25% in the first year. purchased for $28,000, what is the car worth today.

Gwar [14]

Try this: Principal times (1+interest rate as a decimal fraction)^(number of yrs)

In this case, Principal = $28,000; interest rate = -0.25; # of years = 1

So Decrease in value = $28,000 (0.75)^1 = $21,000.

4 0

3 years ago

Williiam lost 25% of his marble,gave 1/6 of the remainder to his.Brother and had 120 marbles left.How many marbles did he have a

bija089 [108]

Answer:

Number of marbles with Williams at the starting = 192

Step-by-step explanation:

Let total number of marbles with Williams = m

He lost marbles = 25% of the total number

= $\frac{25}{100}\times m$

= $\frac{m}{4}$

Remaining marbles with Williams = m - $\frac{m}{4}$

= $\frac{3m}{4}$

He gave marbles to his brother = $\frac{1}{6}$ th of the remaining marbles

= $\frac{1}{6}\times \frac{3m}{4}$

= $\frac{m}{8}$

Remaining marbles after giving marbles to his brother = 120

Therefore, $\frac{3m}{4}-\frac{m}{8}=120$

$\frac{6m}{8}-\frac{m}{8}=120$

$\frac{5m}{8}=120$

m = $\frac{120\times 8}{5}$

m = 192

Number of marbles with Williams at the starting = 192

5 0

3 years ago

Jimmy thought he had purchased 7 folders, but purchased 6. What was his percent error?

OleMash [197]

Answer:

Step-by-step explanation:

Percent Error = | Actual Yield-Theoretical/ Theoretical Yield | *100%

Error= |-1/7|*100%= 14.29%

4 0

3 years ago

please solve all of them Elaine bought a total of 15 shirts and pairs of pants She bought 7 more shirts then pants how many of e

mihalych1998 [28]

Answer

Question 1

4 pants

11 shirts

Question 2

Shady has 30 video games.

Preston has 19 video games.

Question 3

1 muffin costs $1.5

1 quart of milk costs $3

Explanation

Question 1

Let the number of shirts be s

Let the number of pants be p

She bought a total of 15 shirts and shirts

s + p = 15

She bought 7 more shirts than pants.

s = 7 + p

So, we can solve the simultaneous equation.

s + p = 15

s = 7 + p

Substitute for s in equation 1

s + p = 15

7 + p + p = 15

7 + 2p = 15

2p = 15 - 7

2p = 8

Divide both sides by 2

(2p/2) = (8/2)

p = 4 pants

s = 7 + p = 7 + 4 = 11 shirts

Question 2

Let the number of games Shady has be s

Let the number of games Preston has be p

Together, they have a total of 49 video games

s + p = 49

Shady has 11 more games than Preston.

s = 11 + p

So, we can solve the simultaneous equation.

s + p = 49

s = 11 + p

Substitute for s in equation 1

s + p = 49

11 + p + p = 49

11 + 2p = 49

2p = 49 - 11

2p = 38

Divide both sides by 2

(2p/2) = (38/2)

p = 19 video games

s = 11 + p = 11 + 19 = 30 video games

Question 3

Let the cost of a muffin be m

Let the cost of a quart of milk be q

The cost of 8 muffins and 2 quarts of milk is $18.

8m + 2q = 18

The cost of 3 muffins and 1 quart of milk is $7.50

3m + q = 7.5

So, we can solve the simultaneous equation

8m + 2q = 18

3m + q = 7.5

Solving this,

m = 1.5 dollars

q = 3 dollars

Hope this Helps!!!

3 0

1 year ago

You are planning a trip to Japan in the fall. You estimate that for two weeks, you will need $5,263 (This includes airfare, room

Gemiola [76]

The income that you can save from each biweekly paycheck is
.. $1626 -6.2%*1626 -1.45%*1626 -85 -225 -775 = $416.61

After 14 pay periods, you will have saved
.. 14*$416.61 = $5832.54

This is more than your estimated trip requirement.

c. $5833; yes

4 0

4 years ago