Use substitution. What is the solution to the system of equations?

y=1/2x+2
2y=x+4

Answers

Answer 1

Answer: Infinitely many solutions.

Step-by-step explanation:

[tex]y=\frac{1}{2}x+2\\2y=x+4\\[/tex]

Use [tex]\frac{1}{2} x+2[/tex] for y in [tex]2y=x+4[/tex]

[tex]2(\frac{1}{2}x+2)=x+4\\x+4=x+4\\x-x = 4-4\\0=0[/tex]

Infinitely many solutions.


Related Questions

What is the length of line AD?

Answers

1

Step-by-step explanation:

i am very beautiful yes i know it

Jackson has a sprinkler that rotates in a circle with a 6 foot radius. What is the approximate area that Jackson can expect the sprinkler to cover?

A.
37.68 ft2

B.
113.04 ft2

C.
18.84 ft2

D.
144 ft2
PLease help!!

Answers

Answer:

B.

Step-by-step explanation:

I think B is the answer.......

Mary had $156.00 and spent 1/6 of it for a coat. She then bought a skirt with 1/4 the money she had left. How much money did she have left after buying her coat and skirt? Group of answer choices

Answers

Answer: $ 97.5

Step-by-step explanation:

156 * 1/6 = 26

156-26=130

130 * 1/4- 32.5

130-32.4= 97.5

What is the day after the day after tomorrow if the day before the day before yesterday was Friday ?

Answers

Answer:

Wednesday

Step-by-step explanation:

Friday is the day before the day before yesterday

Saturday is the day before yesterday

Sunday is yesterday

Monday is today

Tuesday is tomorrow

Wednesday is the day after tomorrow

Answer:

i cant seem to find ur anwser it seems confusing

Step-by-step explanation:

it is confusing

Mrs. Simpson is frosting circular sugar cookies. Each cookie is 7 cm in diameter. How many square inches will she need to frost one dozen cookies?

Answers

Answer:

51.92 square inches

Step-by-step explanation:

Area of a circle = (pi)(r^2)

if the diameter is 7, the radius is 3.5

A = 3.14 x 3.5

A = 10.99 cm^2 for one cookie

10.99 x 12 for a dozen = 131.88 cm^2

converting cm to inches, you divide by 2.54

131.88/2.54 = 51.92 square inches.

LMK if you have questions.

Am I correct?? Please correct me

Answers

The correct answer is that the new store will have a profit of $ 5400 after its fifth month.

Profit is given by subtracting revenue minus cost:
(RC) (x) = (x² + 5x + 14) - (x²-4x + 5) = x²-x² + 5x - 4x + 14-5 = 5x + 4x + 14 -5 = 9x + 9

Using 5 for x, (RC) (5) = 9 (5) + 9 = 45 + 9 = 54

This is in hundreds of dollars, so it represents $ 5400.

A triangle has side lengths of 14 cm and 7 cm. Which could be the value of the third side, 22 cm or 20 cm?

Answers

Answer:

Undefined, it can be 20 cm, 22 cm or any value.A triangle has no limitations for any of each three sides.

Step-by-step explanation:

How it works? The triangles have no limits on their sides, but by their angles. Each triangle sums 180 degrees at the inner angles. If you don't have specific values for the angles it is not necessary to get some values for the third side. It could be 1, 2, .... or even 1000.

Lauren woke up one morning and saw frost on the windows. It was -13°C outside. Later in the day, the frost melted. At 3 p.m. it was 4°C outside. Which expression represents the difference between the two temperatures?

Answers

Answer:

morning  =  -13°C

afternoon = 4°C

so,

x = (morning - afternoon)

I hope this helps a little bit.

15.00 + 1.75x = 7.50 + 2.25

Answers

I believe it’s X=+15 sorry if I’m wrong

At a middle school, 40% of seventh graders have taken
swimming lessons. If there are 250 studnets in the
seventh grade, how many of them have taken swimming
lessons?

Answers

Answer:

100

Step-by-step explanation:

y = % · x

y = 40% · 250

y = 0.40 · 250

y = 100

1 + 1 = ? help now please asap!

Answers

Question:

1 + 1 = ? help now please asap!

Answer:

1 + 1 = 2

hope this helps :)

WILL GIVE BRAINLIEST Screen-printing a batch of shirts requires 4 minutes per shirt in addition to 10 minutes of initial set-up time. How long does it take to screen-print a batch of 17 shirts?

Answers

Me das mas información porfavor?

30 is 120% of what number? show ur work

Answers

Answer:

30 is 120% of 25

Step-by-step explanation:

30 = 120% of y

[tex]\frac{120}{100}[/tex] × y = 30

After multiplying both sides by 100 and dividing both sides by 120, we have

y = 30 × [tex]\frac{100}{120}[/tex]

y = 25

Which function is shown in the graph below?

Answers

Answer:

y = (1/2)^x-3 + 1

Step-by-step explanation:

The correct expression of the given graph is y = [tex](1/2)^{x - 3} + 1[/tex]

What is parabola?

A parabola is a U-shaped plane curve in which any point is an equal distance from both a fixed point (known as the focus) and a fixed straight line (known as the directrix). The issue of parabola is intertwined with the topic of conic sections, and all of its principles are discussed here.

In the given figure,

The curve represent the parabola

Since the curve is passing through

(0,9) from the Y axis and touches x axis at infinity

Now we can use hit and trial method to find the exact equation

So we plot the figure one by one

Hence,

we get the correct equation,

y = [tex](1/2)^{x - 3} + 1[/tex]

To learn more about parabola visit:

https://brainly.com/question/29267743

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2. Sheila can frame in a room in 5 hours. David can do the same job in 4 hours.
Working together, how long would it take them to frame in a room?

Answers

Answer:

4.5 hours

Step-by-step explanation:

to find the average/middle (how long it would take them when working together) you add both numbers and divide by two

4+5=9

9÷2= 4.5

hope this helps chu <3

The time take by them to the job together is 5 hours.

What is time taken?

Time Taken = 1 / Rate of Work If a piece of work is done in x number of days, then the work done in one day = 1/x Total Wok Done = Number of Days × Efficiency.

Efficiency and Time are inversely proportional to each other.

Given that, Sheila can frame in a room in 5 hours. David can do the same job in 4 hours.

We need to find the time taken by them if they work together,

So, the total hours taken by Sheila = 5 hours

So, she will do the work in 1 hour = 1/5 parts

Similarly, for David also, he will do in 1 hour = 1/4

Now, when they are working together in hour = 1/4 + 1/5

= 4+5 / 45 = 9/45 = 1/5

Since, there work in 1 hour = 1/5 units

That mean, they will do the whole work in 5 hours.

Hence, the time take by them to the job together is 5 hours.

Learn more about time taken, click;

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2. Write 6.07 x 10^7 in standard form

Please help me .

Answers

Answer:

60,700,000

Step-by-step explanation:

⇒10⁷ = 10000000

∴6.07 x10000000

=60,700,000

Can someone help me please

Answers

Answer:9/40

Step-by-step explanation:

there is no use of hupotenuse as tanA = p/b

The length of a plane is 18.4 metres Lucas buys a scale model plane The scale of the plane is 1 : 23

Answers

Answer:

423.2 is the length of the scale copy

Step-by-step explanation:

18.4 * 23 = 423.2 hope this helps!

I need help on this question, I don’t get it so if you could help me
I will really much appreciate it.

Answers

Answer:

C

Step-by-step explanation:

x+x-1-1-1-1-1-1-1 = -x-x-x+1+1+1+1+1+1+1+1+1

2x-7 = -3x +9

5x - 7 = 9

5x = 16

x = 16/5

x= 3⅕

x= 3.2

At his after school job, Tommy grossed $4,020 for the year. Based on his
income level, the federal tax rate he'll need to pay is 10%. For his state taxes,
Tommy will need to pay 4.75%. FICA is 7.65%. What is Tommy's net pay for
the year?
A. $3,521.52
O B. $3,119.52
C. $402.00
D. $3,618.00

Answers

Answer: B. $3,119.52

Tommy will need to pay 4.75%. FICA is 7.65%. Tommy's net pay of $3,119.52.

At his after-school job, Tommy grossed $4,020 for the year. Based on his income level, the federal tax rate he'll need to pay is 10%. For his state taxes.

What is the federal tax?

The federal income tax is a tax on annual earnings for individuals, businesses, and other legal entities. All wages, salaries, cash gifts from employers, business income, tips, gambling income, bonuses, and unemployment benefits are subject to a federal income tax.

Tommy will need to pay 4.75%. FICA is 7.65%.

Tommy's net pay of $3,119.52.

To learn more about federal tax visit:

https://brainly.com/question/1775528

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how many tenths are equal to 3/5

Answers

Answer:

8

Step-by-step explanation:

3/5 ×2=8/10

..............

248 students are going on a field trip to the Museum of Natural History. They need to be split into 31 groups. How many students will be in each group?

Answers

Answer:

* There will be 8 students in each group.

Step-by-step explanation:

248 divided by 31 equals 8. Therefore, my answer is correct.

Answer:

8 students in each group.

Step-by-step explanation:

248÷31=8

Find the axis of symmetry. Question in pic. PLEASE HELP

Answers

Answer:

axis of symmetry is x = 1; vertex is (1,8)

If m∠T = (2x + 85) °, m∠V = (5x + 29) °, and the sum of the measures of the angles is 93 ° , find the measure of each angle.

Answers

Answer:  79 and 14

X would be -3 because (2 x -3 + 85) is 79 and doing it for (5x + 29) would get 14.

Eric bought two jars of peppers and six jars of pickles for $49. Andrew bought three jars of peppers and 5 jars of pickles for $47.50. Find the cost of a jar of pickles.

Answers

Answer:

one jar of pickles is $1.50, 49-47.50 =1.50

Step-by-step explanation:

What is the value of x rounded to the nearest hundredth?
ps this is a pythlly therom




Question 2 options:

68


92


54


75

Answers

Step-by-step explanation:

60x60+32x32=4624

✓4624

68

which inequality is graphed below?

Answers

d. the last answer choice

What do you want to be when you grow up? According to a nationwide survey of a random sample of 1000 kids under the age of 12 some kids want to be a ninja, a dragon keeper, a dancing unicom, and even an octopus. Fifty-five of the 1000 kids want to be a doctor. We would like to use this study to find a 98% confidence interval for the true proportion of kids who want to be a doctor.

a. Identify the parameter of interest.

b. Check if the conditions for constructing a confidence interval for p are met.

C. Find the critical value for a 98% confidence interval. Then calculate the interval

d. Interpret the interval in context

Answers

i think it is b i’m so sorry if i’m wrong

Using the z-distribution, we have that:

a) The parameter of interest is the proportion of kids who want to be a doctor.b) Since there are more than 10 successes and more than 10 failures in the sample, the conditions are met.c) The critical value is [tex]z = 2.327[/tex]. The interval is (0.0339, 0.066).d) We are 98% sure that the true proportion of kids who want to be a doctor is between 0.0339 and 0.066.

Confidence interval of a proportionIn a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

Item a:

We are interested in the confidence interval for the true proportion of kids who want to be a doctor, hence the parameter of interest is the proportion of kids who want to be a doctor.

Item b:

Fifty-five of the 1000 kids want to be a doctor, hence, since there are more than 10 successes and more than 10 failures in the sample, the conditions are met.

Item c:

Fifty-five of the 1000 kids want to be a doctor, hence [tex]n = 1000, \pi = \frac{55}{1000} = 0.055[/tex].98% confidence level, hence[tex]\alpha = 0.98[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.98}{2} = 0.99[/tex], so the critical value is [tex]z = 2.327[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 - 2.327\sqrt{\frac{0.05(0.95)}{1000}} = 0.0339[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 + 2.327\sqrt{\frac{0.05(0.95)}{1000}} = 0.066[/tex]

The interval is (0.0339, 0.066).

Item d:

We are 98% sure that the true proportion of kids who want to be a doctor is between 0.0339 and 0.066.

You can learn more about the use of the z-distribution to build a confidence interval at https://brainly.com/question/25649070

Sasha buys bagels for her garage sale customers she buys all the chocolate chip bagels and half of the plain bagels each bagel cost 2.50 how much does Sasha spend on bagels

Answers

The question is incomplete:

Sasha buys bagels for her garage sale customers she buys all the chocolate chip bagels and half of the plain bagels each bagel cost 2.50 how much does Sasha spend on bagels? The table that shows the types of bagels sold at the bagel shop on Friday is attached.

a. $70

b. $20

c. $90

d. $110

Answer:

c. $90

Step-by-step explanation:

First, you need to find the amount of bagels that Sasha purchased. The statement indicates that she buys all the chocolate chip bagels and the table shows that 28 chocolate chips bagels were sold, so that's the amount she purchased of this type of bagels. Also, the statement indicates that she buys half of the plain bagels and the table says that 16 plain bagels were sold, so you have to divide this amount by 2:

16/2=8

Then, you have to add the amount of chocolate chips bagels plus the amount of plain bagels that Sasha purchased:

28+8=36

Now that you know the amount of bagels that Sasha purchased, you have to multiply this for 2.50 that is the price per bagel:

36*2.50=90

According to this, the answer is that Sasha spends $90 on bagels.

A pair of jeans and a T-shirt cost $50. If two such T-shirts cost $1 more than the pair of jeans, find the cost of the pair of jeans.

(I need the answer ASAP)

Answers

Let’s make variables!
J = Jeans and T = T-shirts
J + T = 50
2T = J + 1
For first equation get T alone
T = 50 - J
2(50 - J) = J + 1
100 - 2J = J + 1
99 = 3J, J = 33
Solution: Pair of Jeans cost $33
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