substitution. y = x − 35 y=-4x

Answers

Answer 1

Answer:

(7, - 28 )

Step-by-step explanation:

y = x - 35 → (1)

y = - 4x → (2)

substitute y = x - 35 into (2)

x - 35 = - 4x ( add 4x to both sides )\

5x - 35 = 0 ( add 35 to both sides )

5x = 35 ( divide both sides by 5 )

x = 7

substitute x = 7 into either of the 2 equations

substituting into (1)

y = 7 - 35 = - 28

solution is (7, - 28 )


Related Questions

A date is picked at random on the calendar for april. what is the probability that the date chosen will be on a two digit odd number

Answers

Answer:

1/3

Step-by-step explanation:

That is the simplified version of the number of all the double-digit odd days (11,13,15,17,21,23,25,27,29), 10, over the total number of days in April, 30

10/30=1/3

x+x2 +2=44 solve the equation quick

Answers

Answer:

x=10.5 or x=6=x=−7

Step-by-step explanation:

x+x^2+2=44

x+x(x)+2=44

2x(x)+2=44 1. -2 on both sides

2x^2=42

2x(2x)=42

4x=42 2. /4 on both sides

x=10.5

Answer:

x = -7, 6.

Step-by-step explanation:

x+x2 +2=44

x^2 + x - 42 = 0

(x - 6)(x + 7) = 0

x =-7, 6

Find the value of x of a octagon with a degree of (16x+23)

Answers

Total degrees of an octagon:
180° x (8 sides - 2)
= 1080°
8 corners of an octagon
Each corner has an angle
1080 / 8 = 135°

16x + 23 = 135
16x = 112
x = 7

Nick bought a new car.
each year the car depreciates in value by 12%.
work out the number of years it takes for the car to half in value.
?

Answers

After 5.4 years, the value of the car will be half the initial value.

How many years take for the car to be half in value?

We know that the value decreases by 12% each year.

Then the value of the car can be modeled with an exponential decay, written as:

[tex]V(t) = A*(1 - 12 \% /100 \%)^t = A*(1 - 0.12)^t = A*(0.88)^t[/tex]

Where A is the initial value, and t is the number of years.

The value will be halved when:

[tex](0.88)^t = 0.5[/tex]

We need to solve that, to do it, we can apply the natural logarithm to both sides, so we get:

[tex]Ln(0.88^t) = Ln(0.5)\\\\t*Ln(0.88) = Ln(0.5)\\\\t = Ln(0.5)/Ln(0.88) = 5.4[/tex]

This means that after 5.4 years, the value of the car will be half the initial value.

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How many balloons are in the air if there are 20 ballons and 5 pop how many are left

Answers

Answer:

15 balloons

Step-by-step explanation:

20 - 5 = 15

hope this helps:)

Answer:

15 ballons

Step-by-step explanation:

The G.C.D of the three number and their L.C.M is 900. Two of the number are 60 and 150. what are the other possible numbers​

Answers

Another two number can be 30 and 30

1. Which of the following measures would NOT produce a triangle? Choose all that apply.
three sides: 3 cm, 5 cm, and 7 cm
three sides: 5 cm, 7 cm, and 9 cm
three sides: 5 cm, 9 cm, and 15 cm
three sides: 3 cm, 5 cm, and 10 cm

Answers

Answer:

I believe the answers are :

5 cm, 9cm, and 15 cm

3 cm, 5 cm, and 10 cm

Step-by-step explanation:

When 2 sides that are not the hypotenuse are added and are less than the hypotentuse, a triangle cannot be formed.

There are eight swimmers in a competition where the top three swimmers advance. in how many ways can three swimmers advance?

Answers

The number of ways in which three swimmers can advance is 56.

What is a combination?

The combination is the selection of items without taking the order of arrangement into consideration.

The formula used in calculating the combination is:

[tex]\mathbf{C(n,r) = \dfrac{n!}{r!(n-r)!}}[/tex]

[tex]\mathbf{C(n,r) = \dfrac{8!}{3!(8-3)!}}[/tex]

[tex]\mathbf{C(n,r) = \dfrac{8\times 7\times 6 \times 5!}{3!(5)!}}[/tex]

[tex]\mathbf{C(n,r) = 8\times 7}[/tex]

C(n, r) = 56

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PICKING BRANILIEST HELP WITH 1

Answers

Answer:

1. x=37

2. x= 50

Step-by-step explanation:

Add up the two angles you already have, 43+100 and then subtract from 180.

180-143= 37

Do the same thing for number 2.

Add up 99+31, which is 130

The subtract from 180

180-130=50

The equation for triangles is x + (the angle measures) = 180

Hope this helps <3

HELP!!!
Jay borrows $8,000 at a rate of 1.9% interest per year. What is the amount due at the end of 6 years if the interest is compounded continuously?
I'm confused.

Answers

$8,966.02 is your answer

Cereal costs $.19 per ounces. How much does 15 oz of cereal cost?

Answers

The possibility is right and your on the right track keep going and you will find the answer I believe in you bro keep going
$2.85 , this is because if it is $0.19 per ounce and you have 15 you need to do 0.19 X 15 to get 2.85 :)

I will mark brainlist to whoever answers first

Answers

Answer:

its D

Step-by-step explanation:

i did the math ez

Answer:

C) ∠V , ∠U , ∠W

Step-by-step explanation:

The smallest angle is opposite to the smallest side.

Sides in ascending order:  WU <  VW < UV

Angles in ascending order:  ∠V < ∠U < ∠W

Avery just got hired for a new job and will make $55,000 in her first year. avery was
told that she can expect to get raises of $1,500 every year going forward. how much
money in salary would avery make in her 18th year working at this job?

Answers

Avery's salary after 18 years will be equal to $82000.

What is the salary?

The amount of money paid by any company to their employees on monthly basis is called salary.

Given that:-

Avery just got hired for a new job and will make $55,000 in her first yearAvery was told that she can expect to get raises of $1,500 every year going forward.

The amount of salary taken by Avery in her 18th year will be:-

Per year incrememnt = $1500

So total increment in 18 years will be = 1500  x  18  =  $27000

Total salary in 18th year will be = 55000  +  27000 = $82000

Therefore Avery's salary after 18 years will be equal to $82000.

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Find the circumference of a circle that has a 25-inch radius. Use 3.14 to approximate π.
PLEASE HELP ILL GIVE BRAINLIEST

Answers

[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

[tex] \large\underline{ \boxed{ \sf{✰\:Important\: point's }}}[/tex]

➣ Circle:- A two-dimensional geometric figure, a line, consisting of the set of all those points in a plane that are equally distant from a given point (center).➣ Circumference:- The line that bounds a circle or other two-dimensional figure

[tex]{ \rule{70mm}{2.9pt}}[/tex]

★ also circumference of a circle is also known as it's perimeter

➣To find circumference of circle when use formula

[tex]{ \boxed{✜\underline{ \boxed{ \sf{\: Circumference \: of \: circle= \: 2\pi \: r}}}✜}}[/tex]

➢ r = radius (25inch.)➢ value of π is 3.14

[tex]{ \rule{70mm}{2.9pt}}[/tex]

[tex] \large\underline{ \boxed{ \sf{✰\: Let's\:solve }}}[/tex]

[tex]\sf{➛ \: Circumference \: of \: circle = 2 \times 3.14 \times 25} \\ \sf{➛ \: Circumference \: of \: circle =2 \times 78.5} \\ \sf{➛ \: Circumference \: of \: circle =157inch}[/tex]

★ Hence circumference of circle=157inch

[tex] \large\underline{ \boxed{ \sf{➪\:157inch. }}}[/tex]

[tex]{ \rule{70mm}{2.9pt}}[/tex]

Hope it helps !

A story or an account of a personal experience that illustrates the central idea of a text is a(n) ______. A;anecdote B;statistic C;satire

Answers

the answer should be A) anecdote

Create a cylinder with a height of 6 cm and a radius of 10 cm. notice the volume calculation is 1,885.0 cm3. drag the orange dot to double the cylinder’s height. what do you notice about the new volume compared to the original volume?

Answers

The volume of the cylinder will be equal to V=1885 cubic cm.

What is volume?

The Volume of the cone is the amount of quantity, which is obtained in the 3-dimensional space. The cylinder is the right circular object with some height like bamboo, bottles, rods etc all are cylinders.

The formula for calculating the volume of the cylinder is given as:-

V=πr²H

Here we have the radius of the cylinder r= 10 cm and the height of the cylinder is H=6 cm

V=  π x (10)² x  6

V=1885 cubic cm.

Hence the volume of the cylinder will be equal to V=1885 cubic cm.

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Answer:

It doubled

Step-by-step explanation:

Got 100%

PLEASE HELP ILL MARK BRAINEST!!

Answers

Answer:

-3,-2

Step-by-step explanation:

Answer:

-3,-2

Step-by-step explanation:

if it goes down in numbers but increases in x that would mean the value would change by that much (-3,-2).

How much profit did jamie make if he sold 87 tickets

Answers

Step-by-step explanation:

profit= revenue - cost

profit = 2(87)-69.80

=174-69.20=104.8 R

rewrite the formula p=2L+2w

Answers

P=2L+2w is the same as

P=2(l+w)

PLSS HELP I NEED THIS ASAP!!

Answers

Answer:

b) 95 degrees

Step-by-step explanation:

Remember that the internal angles of a triangle add up to 180°.

Solving :

45° + 40° + ∠x = 180°∠x + 85° = 180°∠x = 95 degrees

Let that angle be x

Apply angle sum property

x+45+40=180x+85=180x=180-85x=95°

Which of the following is not a valid probability?

A. 1.3
B. 0
C. 0.4
D. 1

Answers

Answer:

A 1.3

Step-by-step explanation:

probabilities lie between 0 and 1 and cannot be more or less

Darion picks 16 grapefruits off
a tree in his backyard. He puts
4 grapefruits in each bag. How
many bags does he need?

Answers

hey there!

Number of bags he need = 16/4 = 4

He needs [tex]\fbox{4}[/tex] bags.

Answer:

he would need 4 bags

Step-by-step explanation:

16 divided by 4 is 4

you can count by 4 to find your answer

When analyzing the relationship in non-linear data as a linear association, when should the strategy of ignoring outliers be used?

If ignoring half of the data points allows the remaining data to be represented by a curved line.

If ignoring one or two data points allows the remaining data to be represented by a straight line.

If ignoring half of the data points allows the remaining data to be represented by a straight line.

If ignoring one or two data points allows the remaining data to be represented by a curved line.

Answers

The answer is B, or If ignoring one or two data points allows the remaining data to be represented by a straight line.

Explanation:

An outlier is typically one or two points that differ greatly from the rest of the data. If ignoring these outliers contributes to the ability to identify non-linear data as a linear association, then a straight line should still be present regardless of these two points.

Choose all of the following statements that suggest a positive association.
A. The less education a person has, the less money they will likely earn.
B. The less fruits and vegetables a person eats, the lower their risk for cancer.
C. The smaller a person's shoe size, the larger their pant size.
D. The more you study, the more likely you are to earn a better grade.

Answers

Answer:

D

Step-by-step explanation:

It is only d because that is the only positive statement.

Which set of numbers cannot represent the lengths of the sides of a triangle?







A.
7, 5, 6

B.
9, 12, 19

C.
6, 8, 11

D.
7, 18, 11

Answers

i believe the answer would be d because 7+11 is not greater than 18

Pls help! I'm a bit confused!!

Answers

Answer:

Step-by-step explanation:

So whenever you see alphabets in math, these are called variable. Like the word suggests, variables can have different values depending on the problem.

For the first problem, the variable k equals 10, and the question asks you when k=10, what does that make k+26. All you do is substitute the value of k with the given value of k=10, and you get 10 + 26 = 36.

This way you can solve the rest of them.

Ask me if you get confused and we can work on rest of them.

Answer:

36529412.5112

Step-by-step explanation:

Q1

k = 1010 + 2636

Q2

n = 134(13)52

Q3

a = 27 and b = 327/39

Q4

x = 63(6) - 1418 - 144

Q5

z = 2(2)² + 8.54 + 8.512.5

Q6

x = 4 and y = 84(36 - 8)4(28)112

Water flows through a pipe at a rate of 620 gallons every 5.5 minutes. Express this rate of flow in cups per second.

Answers

Answer: 16 cups per second.

Step-by-step 5.5 minutes into seconds 320.

620 gallons into cups 9920.

9920 divided by 320 seconds.

16 cups per second



find two integers who’s sum is 20 and products is 100

Answers

Answer: 10

Step-by-step explanation:The answer is 10

Step-by-step explanation:

10+10=20

10 * 10= 100

Hope it helps you.

The set of life spans of an appliance is normally distributed with a mean mu = 48 months and a standard deviation sigma = 8 months. what is the life span of an appliance that has a z-score of –3?

Answers

Using the normal distribution, it is found that the life span of an appliance that has a z-score of –3 is of 24 months.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the parameters are given as follows:

[tex]\mu = 48, \sigma = 8, Z = -3[/tex].

Hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-3 = \frac{X - 48}{8}[/tex]

X - 48 = -24

X = 24.

The life span of an appliance that has a z-score of –3 is of 24 months.

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Answer:

Using the normal distribution, it is found that the life span of an appliance that has a z-score of –3 is of 24 months.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean  and standard deviation  is given by:

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the parameters are given as follows:

.

Hence:

X - 48 = -24

X = 24.

The life span of an appliance that has a z-score of –3 is of 24 months.

What is the area of ΔABC to the nearest tenth of a square millimeter?

Answers

Answer:

35 + 35 = 70

Step-by-step explanation:

Add the area of ABC

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