How many solutions does this system of equations have?

How Many Solutions Does This System Of Equations Have?

Answers

Answer 1
one i think, the point where they intersect
Answer 2

Answer:

1 solution

Step-by-step explanation:

A solution to a system of linear equations is where the two lines meet. In this case, the system only intercepts each other once, therefore it only has 1 solution.


Related Questions

1. What is AC?

AC = 6
AC = 24
AC = 8
AC = 16

Answers

Answer:

AC = 24

Step-by-step explanation:

If you subtract C - A, you get

16 - (-8) = 16 + 8 = 24

Answer:

AC=24

Step-by-step explanation:

A magic carpet is made with three colors of yarn. The ratio of each color in the carpet is shown below: 10 parts gold yarn 7 parts bronze yarn 3 parts silver yarn The magic carpet is made with a total of 150 meters of yarn. How much silver yarn is in the magic carpet?

Answers

Answer:

There are 22.5 meters of silver yarn

Step-by-step explanation:

Gold yarn : bronze yarn : silver yarn

10 : 7 : 3

Gold yarn = 10

bronze yarn = 7

silver yarn = 3

Total ratio = 20

Total meters = 150 meters

How much silver yarn is in the magic carpet?

Quantity of silver yarn in the carpet = silver yarn ratio / Total ratio × total meters of yarn

= 3 / 20 × 150

= 450 / 20

= 22.5 meters

There are 22.5 meters of silver yarn

Bronze yarn = bronze yarn ratio / Total ratio × total meters of yarn

= 7 / 20 × 150

= 1,050 / 20

= 52.5 meters

Bronze yarn = 52.5 meters

Quantity of gold yarn in the carpet = gold yarn ratio / Total ratio × total meters of yarn

= 10 / 20 × 150

= 1500 / 20

= 75 meters

Gold yarn = 75 meters

Tamara was worried about her six-year-old dog, Suze, so she
took her to three different veterinarians. Each vet told her the
approximate age of her dog in dog years based on Suze's
health. Tamara graphed her dog's age in dog years and
included the three vets' approximations at age 6.
Do
you
think this graph is a function?

Answers

Answer: Yes ido

Step-by-step explanation:

A recipe calls for 4 cups of flour to 6 tablespoons of shortening. How many tablespoons of shortening are needed for 6 cups of flour?

Answers

Answer:

8 tablespoons of shortening

Step-by-step explanation:

mathhhh

Solve the equation for x, and enter your answer below.
6(x-4) + 7 = -5

Answers

Answer:

x=2

Step-by-step explanation:

The answer is –5. Explantation is in the picture.

You were lifting weights with 220,000 and a volume of 1000cm^3. what is the density?

Answers

Answer:

220g/cm³

Step-by-step explanation:

Given parameters:

  Mass of the weight = 220000g

  Volume  = 1000cm³

Unknown:

Density of weight = ?

Solution:

Density is the mass per unit volume of a substance.

Mass is the amount of matter in a substance.

Volume is the amount of space a substance occupies

        Density  = [tex]\frac{mass}{volume}[/tex]

Input the parameters and solve

        Density  = [tex]\frac{220000}{1000}[/tex]  = 220g/cm³

How do you write 6.5 × 10^-1 in standard form?

Answers

Since it is -1 you would move the decimal back one space. So .65

If it was a positive 1 it would be 65

What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (2, 5)?

Answers

Answer:

C) y − 5 = −(x − 2)

Step-by-step explanation:

WORK OUT:
NO SILLY ANSWERS OR I WILL REPORT!

Answers

Answer:

1

Step-by-step explanation:

Any number raised to the power of 0 equals to 1

Step-by-step explanation:

Hey there!

Given;

[tex] {7}^{0} [/tex]

The answer would be one (1).

Reason: Anything to the power "0" is 1.

So, 7^0 is 1.

Hope it helps...

(28÷4)+3+(10-8)x 5 please try to help asap

Answers

Answer:

20

Step-by-step explanation:

(28/4)+3+(10-8)x5
7 + 3 + 2 x 5
7 + 3 + 10
= 20

or if that x is a variable then —
(28/4)+3+(10-8)x5
= 7+3+2x+5
= 10 + 10x

(-2,7)(0,-3) write the equation that goes through the points

Answers

-3-7/0-2
-10/-2
Slope is
5
Answer
Y=5x-3

14.) George is designing a pool that will be 34 feet long. He plans to make
a scale drawing of the pool by letting 1/4 inch represent 1 foot. How long
should the line representing the length of the pool in the diagram be?

Answers

Answer:

I believe the answer is 8.5 inches long

Step-by-step explanation:

we have to find out how long 1/4 × 34 is, since each 1/4 represents one of the 34 feet of the pools length.

34×.25 = 8.5

HELP PLEASEEEEEE!!!!

Answers

We can see that from day 1 to day 2, there is a change of 3, from day 2 to day 3, a change of 3, and from day 3 to day 4, a change 3. From this, we can conclude that the constant rate of change is 3 so:
Cis the answer or 3 min per day

Answer:

c by 3 minutes a day your answer is c

Determine which product has the lower unit price a 16- ounce bag of chocolate for $1.99 or B an 18- ounce bag of chocolates for $2.29

Answers

Step-by-step explanation:

Just divide 16 and 1.99 and 18 and 2.29 and choose the one with less value

John buys two ties that each cost $19.99 he also buys a pair of dress pants that were originally $64 but a discounted by 30% more over he has a coupon for $10 off a purchase of $50 or more purchase finally sales tax is 6% in his state how much did John pay for the ties and pants

Answers

Answer:

Cost of ties and pants = $52.5

Step-by-step explanation:

Total cost of ties = $19.99

cost of dress pants = $64, discountted by 30%

discount on dress pants = 30% of 64 = 0.3 × 64 = $19.2

∴ Discounted price of dress pants = 64 - 19.2 = $44.8

Total cost of ties and dress pants = 19.99 + 44.8 = $64.79

Now, let us apply the coupon

coupon = $10 off every purchase of $50 or more

Purchase amount = $64.79 ;  therefore coupon applies.

Applying coupon

Purchase amount = 64.79 - 10 = $54.79

sale tax = 6% or purchase price

sale tax = 6% × 54.79

sale tax = 0.06 × 54.79 = $3.29

∴ Final cost of ties and dress pants = 54.79 - 3.29 = $52.5

Write an equation in slope-intercept form that goes through the points (4, 4) and (1, 2).

Answers

Step-by-step explanation:

Hey there!

The given points are; (4,4) and (1,2) as (x1,y1) and (x2,y2).

Note: Use double point formula for the equation.

Now;

[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]

Put all values.

[tex](y - 4) = \frac{2 - 4}{1 - 4} (x - 4)[/tex]

Simplify it.

[tex](y - 4) = \frac{ - 2}{ - 3} (x - 4)[/tex]

[tex](y - 4) = \frac{2}{3} (x - 4)[/tex]

[tex](y - 4) = \frac{2}{3} x - \frac{2}{3} \times 4[/tex]

[tex]y = \frac{2}{3}x - \frac{8}{3} + 4 [/tex]

[tex]y = \frac{2}{3} x - \frac{8 + 12}{3} [/tex]

[tex]y = \frac{2}{3} x + \frac{4}{3} [/tex]

Therefore, the equation is; y = 2/3x+4/3.

Hope it helps...

You are a car salesperson and make $17.50 per hour. You are paid on a biweekly basis. Your boss encourages a competition between employees by letting you know that you will receive $100 for each new car you sell. In the first week, you work 20 hours and sell 2 cars. In the second week, you work 30 hours and sell 3 cars. How much will your pay be at the end of the these two weeks?

Answers

Answer:

Your pay at the end of the these two weeks will be $1,375

Step-by-step explanation:

In the first place, it is convenient to calculate your salary each week, and then simply add the salary for each week and obtain the fortnightly pay.

In the first week you work 20 hours and sell 2 cars. Knowing that you earn $ 17.50 per hour and you receive $ 100 for each new car that you sell, then to obtain the payment in this first week you perform the calculation:

20 hours* $17.50 per hour + 2 cars * $100 for each car= $350 + $200 = $550

In the second week you work 30 hours and sell 3 cars. Then to obtain the payment in this second week you perform the calculation:

30 hours* $17.50 per hour + 3 cars * $100 for each car= $525 + $300 = $825

Then your salary at the end of these two weeks is calculated by:

Payment of the first week + Payment of the second week

$550 + $825 = $1,375

Another way to solve this problem is, first, add the total number of hours you did during these two weeks and the number of cars sold:

hours=  number of hours in the first week + number of hours in the second week= 20 hours + 30 hours= 50 hourscars=  number of cars sold in the first week + number of cars sold in the second week= 2 cars + 3 cars= 5 cars

Then your salary at the end of these two weeks is calculated by:

50 hours* $17.50 per hour + 5 cars * $100 for each car= $525 + $300 = $1,375

Note that either way you get the same result.

Your pay at the end of the these two weeks will be $1,375

Colin predicted whether he got answers right or wrong in his 50 question exam. He identified the 8 questions he thought he got wrong. It turns out that Colin got 5 questions right that he thought he got wrong. Colin also got a total score of 45 out of 50 in the test. What is the percentage accuracy he had with predicting his scores?

Answers

Total questions, T = 50.

Colin thought 8 questions were right.

Colin got 5 questions right that he thought he got wrong.

Total score, s = 45.

So, actual number of questions which are wrong are 5.

Score according to him = 50 - 8 = 42.

Now, we know percentage accuracy is given by :

[tex]\% =100- \dfrac{|Actual\ value-Theoretical\ value|}{Actual\ Vlaue}\times 100\\\\\%=100-\dfrac{|45-42|}{42}\times 100\\\\\%=100-7.14 \%\\\\\%=92.86\%[/tex]

Therefore, percentage accuracy he had with predicting his scores is 92.86%.

Hence, this is the required solution.

Solve the inequality and graph the solution on the line provided.
8r - 9> -17
Pls help me !!!

Answers

Answer:

[tex]\boxed { x > -1}[/tex]

Step-by-step explanation:

Solve the following inequality:

[tex]8x - 9 > - 17[/tex]

-Add [tex]9[/tex] to both sides:

[tex]8x - 9 + 9 > -17 + 9[/tex]

[tex]8x > -8[/tex]

-Divide both sides by [tex]8[/tex]:

[tex]\frac{8x}{8} > \frac{-8}{8}[/tex]

[tex]\boxed { x > -1}[/tex]

-The number line (graphed):

what is 11/12 plus (-7/12)? simplest form

Answers

Answer:

1/2

Step-by-step explanation:

11/12 + (-7/12) have the same denominator so you can leave it as is.

11/12+(-7/12) is the same as 11/12-7/12 which is equal to 6/12 which can be simplified to 1/2

The distribution of annual profit at a chain of stores was approximately normal with mean \mu = \$66{,}000μ=$66,000mu, equals, dollar sign, 66, comma, 000 and standard deviation \sigma = \$21{,}000σ=$21,000sigma, equals, dollar sign, 21, comma, 000. The executives conducted an audit of the stores with the lowest 20\%20%20, percent of profits. What is closest to the maximum annual profit at a store where the executives conducted an audit?

Answers

Answer:

The closest to the maximum profit is  [tex]x = \$ 83682[/tex]

Step-by-step explanation:

From the question we are told that

  The  mean is  [tex]\mu = \$66,000[/tex]

   The standard deviation is  [tex]\sigma  = \$ 21000[/tex]

   The percentage of profit is  20%

Generally the closest to the maximum annual profit at a store where the executives conducted an audit is mathematically evaluated  as follows

     [tex]P(X >  x ) =  0.20[/tex]

=>  [tex]P(X >  x ) = P(\frac{X -x}{\sigma }  >  \frac{x -66000}{21000} ) =  0.20[/tex]

From the z-table  the z-score for  0.20  is  

    [tex]z-score = 0.842[/tex]

So

     [tex]\frac{x -66000}{21000} = 0.842[/tex]

=>   [tex]x = \$ 83682[/tex]

Answer:

48,000

Step-by-step explanation:

help me please :)))))

Answers

Answer:

p=2/3 mn

p/n=2/3 m(

(3)p/n=2/3(3)m

3p/n=2m

3p/2n=2m/2

3p/2n=m (letter B)

A jet ski company charges a flat fee of $22.00 plus $3.00 per hour to rent a jet ski. Another company charges a fee of $17.50 plus $3.75 per hour to rent the same jet ski. Write a system of equations that can be used to determine when the cost will be the same, then solve your system.

Answers

Answer: The cost will be same for 6 hours.

Step-by-step explanation:

Given: A jet ski company charges a flat fee of $22.00 plus $3.00 per hour to rent a jet ski.

Another company charges a fee of $17.50 plus $3.75 per hour to rent the same jet ski.

Let x = Number of hours

y = Total cost

Then, Total cost (in $) for first company (y) = 22+3x

Total cost (in $) for second company (y) = 17.50+3.75x

So required system of equations :

y =  22+3x

y= 17.50+3.75x

When the cost will be the same,

22+3x = 17.50+3.75x

⇒ 3x - 3.75x = 17.50- 22

⇒ - 0.75x = -4.5

⇒ x =6  [Divide both sides by -0.75]

Hence,  the cost will be same for 6 hours.

Write the Scientific Notation for 0.000315

Answers

Answer:

3.15 10^-4

Step-by-step explanation:

Answer:

3.15 × 10 to the power of -4

Step-by-step explanation:

Hope this helps! <3

find the value of each variable 4y 3x 8 12​

Answers

Answer:

4x812y3

Step-by-step explanation:

Which correctly explains how to estimate 55 percent of 64? Round 55 percent to 40 percent and 64 to 60. Think of 40 percent as One-fourth. So, One-fourth of 60 is 15. Round 55 percent to 60 percent and 64 to 70. Think of 60 percent as One-third. So, One-third of 70 is 23.3. Round 55 percent to 50 percent and 64 to 70. Think of 50 percent as One-fifth. So, One-fifth of 60 is 12. Round 55 percent to 50 percent and 64 to 60. Think of 50 percent as One-half. So, One-half of 60 is 30.

Answers

Answer:

D

Step-by-step explanation:

straws are sold in packs and boxes
there are 15 straws in each pack
there are 48 straws in each box
Tricia buts p packs of straws and b boxes of straws
write down an expression in terms of p and b for the total number of straws bought by Tricia

Answers

15p+48b=total straws

Segment FB is graphed on the coordinate plane where Fis (- 7, - 4) and B is (5, 2) . If point A is graphed of the way from F to B , where is point A located ? 3/4 of the way from F to B, where is point A located?​

Answers

Answer:

Step-by-step explanation:

7, 1

Help I’m so confused

Answers

Answer:

a

Step-by-step explanation:

90 minutes=1 and a half hour

hour=60 min

answer: A

explanation:
liz and mike both started at 4:15 pm.

mike stopped 90 minutes later. if liz stopped half an hour less than mike, then that means she stopped 60 minutes later. this is because half an hour is 30 and 90-30= 60.

therefore, we would add 60 minutes (or 1 hour because 60 minutes= 1 hour) to when she started, which is 4:15 pm.

4:15 pm + 1 hour = 5:15 pm

Patty measured a house and its lot and made a scale drawing. In real life, the front patio is 14 meters wide. It is 2 cm wide in the drawing. 1 cm is equal to how many meters?

Answers

7cm just divide by 2
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