Solve the system of linear equations by graphing y = -4x + 2 ; y = -x - 1
What is the solution?

The solution is :

We conclude that the slope of line 'n' is: m₂ = 10

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Given

The slope of line m is: m₁ = 10

It is stated that another line is parallel to line m.

Let m₂ be the slope of the 'n' line.

We know that when two lines are parallel, they have equal slopes.

i.e.  m₁ = m₂

as

The slope of line m is: m₁ = 10

and

The lines are parallel

so

The slope of line 'n' is: m₂ = 10

Therefore, we conclude that the slope of line 'n' is: m₂ = 10.

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complet question:

Line m has a slope of 10. Another line n is parallel to line m. What is the slope of line n ?

Answer:

Step-by-step explanation:

Answer:

967.74

Step-by-step explanation:

The average daily balance of the credit card for the August 1 - August 31 billing period is $943.55.

The average daily balance can be determined by dividing the total daily balaces for August by the number of days in August.

The average daily balance = total balance / total number of days in Augst.

Total balance = (1500 x 3 days) + (1100 x10 days) + (850 x 10 days) + (750 x 7 days)

Total balance = 4500 + 11,000 + 8,500 + 5,250 = 29,250

The average daily balance = 29250 / 31 = $943.55

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Answer:

3/5

Step-by-step explanation:

when you multiply powers by a zero it = 0 so you would just end up with 3/5

Answer:

A. x=32 and x=o

YOUR WELCOME

Answer: A. x = 32 and x = 0

Explanation: Solve using the quadratic formula

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Answer: 20

Step-by-step explanation:

The ratio is 3/4, or 0.75. The team scores 3-pt. baskets on 75% of shots taken. 27 x .75 = 20.25 (round to 20)

Answer:

Her unit rate remained the same

Step-by-step explanation:

80 is twice as much as 40. 5 minutes is twice as long as 2 1/2 minutes. Her unit rate never changed.

Answer:

her unit rate remained the same

Step-by-step explanation:

Answer: measurement 1, and 3 is 147. Measurement 4 is 33

Answer:

Cell phone monthly 271 X 12 = 2,052

water and gas yearly 1270 + 2,052 =3,320

3,320 is you're answer.

Step-by-step explanation:

Answer:

$32378.416

Step-by-step explanation:

We are asked to find: Thirty percent of these graduating seniors owe more than what amount.

More than 30% = Finding the z score of the 70% percentile.

The z score = 0.524

Hence, using z score formula:

z = (x-μ)/σ

0.524 = x - $29,400/$5,684

0.524 × 5684 = x - 29400

2978.416 = x - 29400

x = 29400 + 2978.416

x = $32378.416

Therefore, Thirty percent of these graduating seniors owe more than what amount $32378.416.

Answer:

hola

Step-by-step explanation:

xddd

The probability that the client owns a cat is 16/35 if a veterinarian records whether the client owns a cat, a dog, neither, or both option (A) is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

The veterinarian records whether the client owns a cat, a dog, neither, or both.

From the table:

Client owns a dog = 35

Owns a cat = 16

Probability that client owns a cat = 16/35

Thus, the probability that the client owns a cat is 16/35 if a veterinarian records whether the client owns a cat, a dog, neither, or both option (A) is correct.

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Answer:

13 days

Step-by-step explanation:

51-25=26

26/2=13

step 1, move -5 on the left side to the right side and change the sign then add up with 55

step 2, multiply 20 by (10 - 13x) by the associative property

step 3, add the coefficient of the variable x on the left side and move 20 to the right side by changing its sign

step 4, move -34x to the left side by changing the sign then add up with -17x

step 5, to find the x value, move the x coefficient to the right side and divide it, you get the value

Answer:

yes, Jenny has enough flour for both recipes

Step-by-step explanation:

First, find what Jody and Jenny need for both their recipes. For this, we need a common denominator, 8

1 5/8=13/8

3/4=6/8

13/8+6/8=19/8

Jody has 3 1/2 cups of flour, which is 7/2 cups or 28/8.

Now we need to make sure that 28/8 is greater than 19/8

28>9.... so she has enough flour!

Answer:

Nope

Step-by-step explanation:

Answer:

yep

Step-by-step explanation:

The classroom had 25 glue sticks. If the ratio of glue sticks to glue bottles was 5 : 2, how many glue bottles did the classroom have?

5 sticks / 2 bottles

25 sticks / x bottles

10 bottles

Answer:  10 bottles

A student finished 8 of her homework problems in class. If the ratio of problems she finished to problems she still had left was 4 : 1, how many homework problems did she have total?

8 finished

4 finished / 1 left

8 finished / 2 left

10 total

Answer:  10 total problems

A recipe called for the ratio of sugar to flour to be 7 : 3. If you used 63 ounce of sugar, how many ounces of flour would you need to use?

7 sugar / 3 flour

63 oz sugar / x oz flour

27 oz flour

Answer:  27 oz flour

Write an equation for each using the variables provided.

For each pound there are 16 ounces.

Write an equation to express the total number of ounces (Z) in (Y) pounds.

1 lb / 16 oz

Z = 16Y

Equation:  Z = 16Y

Every dollar is 4 quarters.

Write an equation to express the total number of quarters (Q) in dollars (D).

1 dollar = 4 q

Q = 4D

Equation:  Q = 4D

Word Problems. You must show your work and answer to get full credit.

Henry and Grace had the same amount of money. After Henry spent $28 and Grace spent $16, the ratio of the amount of money Henry had to the amount of money Grace had was 2 : 5. How much money did each of them have at first?

You may create a tape diagram to help you.

(copy & paste)

( H - 28 ) / ( G - 16 ) = 2 / 5

H - 28 = 2

H = 30

G - 16 = 5

G = 21

Henry:  30

Grace:  21

Three clerks can type six documents in 12 days. At this rate, how long will it take for two clerks to type three such documents?

3 clerks take 12 days to write 6 docs

1 clerk takes 4 days to write 2 docs

2 clerks take 8 days to write 4 docs

8 : 4

3/4 * ( 8 ) : ( 4 ) * 3/4

6 : 3

6 days

ok

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The required answer is,

A) The weight of 4 fruits round to the nearest 0.1 pound is-

Apple = 2.1

Blueberries = 1.1

lemon = 1.0

Orange = 3.5

B) The weight of 4 vegetables round to the nearest 0.01 pound is-

Asparagus = 2.32

Beats = 1.86

Celery = 1.40

Corn = 2.56

Rounding is a process to estimate a particular number in a context.

To round a number look at the next digit in the right place, if the digit is less than 5, round down and if the digit is 5 or more than 5, roundup.

Now the given weights in pounds of the fruits are,

Apple = 2.068

Blueberries = 1.07

lemons = 1.031

Orange = 3.502

Peaches = 2.608

Pears = 3.592

The given weights in pounds of the vegetables are,

Asparagus = 2.317

Beats = 1.862

Celery = 1.402

Corn = 2.556

Potatoes = 3.441

Red onions = 1.863

Now picking the 4 fruits,

Apple = 2.068

Blueberries = 1.07

lemons = 1.031

Orange = 3.502

To round the weight to the nearest 0.1 pounds we see the digit at 0.1 place, if the digit right to the 0.1 place is greater than or equal to 5 roundup the digit, and if it is less than 5 round down the digit.

Thus,here we get

2.068 = 2.1

1.07 = 1.1

1.031 = 1.0

3.502 = 3.5

Thus, the weight of 4 fruits round to the nearest 0.1 pound is-

Apple = 2.1

Blueberries = 1.1

lemon = 1.0

Orange = 3.5

Now picking 4 vegetables,

Asparagus = 2.317

Beats = 1.862

Celery = 1.402

Corn = 2.556

To round the weight to the nearest 0.01 pounds we see the digit at 0.01 place, if the digit right to the 0.01 place is greater than or equal to 5 roundup the digit, and if it is less than 5 round down the digit.

Thus,here we get

2.317 = 2.32

1.862 = 1.86

1.402 = 1.40

2.556 = 2.56

Thus, the weight of 4 vegetables round to the nearest 0.01 pound is-

Asparagus = 2.32

Beats = 1.86

Celery = 1.40

Corn = 2.56

The required answer is,

A) The weight of 4 fruits round to the nearest 0.1 pound is-

Apple = 2.1

Blueberries = 1.1

lemon = 1.0

Orange = 3.5

B) The weight of 4 vegetables round to the nearest 0.01 pound is-

Asparagus = 2.32

Beats = 1.86

Celery = 1.40

Corn = 2.56

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Answer:

[tex] h = \dfrac{A - 9}{6} [/tex]

Step-by-step explanation:

A=b^2+2bh

b = 3

A = 3^2 + 2(3)h

A = 9 + 6h

6h = A - 9

[tex] h = \dfrac{A - 9}{6} [/tex]

The required expression for the slant height is h = [A - 9] / 6 .

Given that,
The surface area of a right square pyramid is given by A=b2+2bh where b is the length of a side of the base and h is the slant height.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
A=b²+2bh
According to the condition,
put b = 3
A = 3² + 2 * 3 h
A = 9 + 6h
h = [A - 9] / 6

Thus, the required expression for the slant height is h = [A - 9] / 6 .

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Answer:

-6

Step-by-step explanation:

If x=3 and y=6, 4x-3y=-6 because 4x with x=3 makes the first number 12. 3y with y=6 makes the result 18, so now the equation is 12-18. 12-18=-6, so 4x-3y with x=3 and y=6 will equal -6.

Hopefully the answer and explanation helps!

Answer:

-6

Step-by-step explanation:

All you have to do is plug in the numbers. So it should look like 4(3) - 3(6). Now all you have to do is solve. 4 x 3 = 12. 3 x 6 = 18. Now subtract. 12 - 18 = -6

Answer:

$316

Step-by-step explanation:

Since each cardigan costs $79 and there are 4 cardigans you would need to multyply 79×4. Which is $316. Kelly would be billed $316 for all four cardigans.

Answer:

1.5

Step-by-step explanation:

Cheddar Corn Caramel Corn

        10                         15

        20                         30

        30                    45

(10,15) (20,30) (30,45)

if you graphed this the unit rate would be (1,1.5)

the constant of proportionality is 1.5

Step-by-step explanation:

install microsoft math and do something like this...

Answer:

hope it helps..

Step-by-step explanation:

PLEASE THANK MY ANSWER

Answer:

[tex]\displaystyle s=\frac{3\pi}{4}[/tex]

Step-by-step explanation:

Trigonometric Values

We need to find the angle s in the interval [π/2,π] where:

[tex]\displaystyle \sin s=\frac{\sqrt{2}}{2}[/tex]

There are two possible angles that have the same sine value in the first rotation of s. Any angle on the first quadrant has the same sine as its supplementary angle in the second quadrant.

The first angle s whose sine is [tex]\frac{\sqrt{2}}{2}[/tex] is:

[tex]\displaystyle s=\frac{\pi }{4}[/tex]

The other angle is its supplementary angle:

[tex]\displaystyle s=\pi-\frac{\pi }{4}=\frac{3\pi}{4}[/tex]

Only this last angle lies on the required interval, thus:

[tex]\boxed{\displaystyle s=\frac{3\pi}{4}}[/tex]

Answer:

5184 ??

Step-by-step explanation:

18 boxes times 24 in them

then times that by the students and you get that number +_+

Answer:

91

Step-by-step explanation:

Using the PEMDAS method (parentheses exponenets multiplication division addition subtraction), we know that since 3-5 is not in parentheses, we have to multiply before we subtract. So first, we must multiply 32 x 3 to get a product of 96. Then we must subtract, 96 - 5 = 91. Therefore, your answer is 91.

Hope this helped! Good luck!

The answer is D :)

hope this helps! <3

Answer:

D) 9 3/7

Step-by-step explanation:

4 2/7 × 2 1/5

=30/7 × 11/5

= 30 × 11/7 × 5

=330/35

=330 ÷ 5/35 ÷ 5

=66/7 = 9 3/7