3x + 6y = 42 and -7x + 8y = -109 solve by elimination

Answers

Answer 1

Answer:

Point Form

(15,-1/2

Equation Form

x=15 and y= -1/2

Step-by-step explanation:


Related Questions

Graph the line. -2x+y=4

Answers

Answer:

y=2x+4

i think that is the answer

A mass of 100 g stretches a spring 5 cm. If the mass is set in motion from its equilibrium position with a downward velocity of 50 cm/s, and if there is no damping, determine the position u of the mass at any time t. (Use g = 9.8 m/s2 for the acceleration due to gravity. Let u(t), measured positive downward, denote the displacement in meters of the mass from its equilibrium position at time t seconds). What does u(t) equal?When does the mass first return to its equilibrium position? (What does t in seconds equal?)

Answers

Answer:

Step-by-step explanation:

Given that:

mass m = 100 g = 0.1 kg

Length of the spring = 5 cm = 0.05 m

The set in motion from the equilibrium position u(0) = 0

The set in motion from its equilibrium position with a downward velocity u'(0) = 50 cm/s = 0.5 m/s

The spring constant (k) = [tex]\dfrac{0.1 \times 9.8}{0.05}[/tex]

The equation of the system is expressed as:

[tex]\dfrac{1}{10} u'' + \dfrac{98}{5} u =0[/tex]

By estimating the characteristics equation, we have r = ± 14[tex]i[/tex]

Thus; the general solution is:

[tex]u(t) = c_1cos \ 14t + c_2 sin 14 \ t[/tex]

By applying the initial condition:

u(0) = 0

⇒ 0 = [tex]c_1[/tex]

[tex]\dfrac{du}{dt} = ( - c_1 \ sin 14 t )\times 14 +14c_2 \ cos 14 t[/tex]

u'(0) = 0.5

0.5 = 14 × c₂

c₂ = 0.5/14

c₂ = 1/28

[tex]\mathbf{u(t) = \dfrac{1}{28} sin 14 t}[/tex]

Equating u(t) = 0, we have t = π/14sec as the time when the mass first returns to its equilibrium position.

How many miles per hour? please help i will give brainliest<3

Answers

Answer: 9mph

Step-by-step explanation: To figure this out (I'll just finish the problem for you), you have to essentially find a unit rate. Since you know the miles traveled and the time, all you have to do is divide the miles by the minutes to figure out miles per minute. In other words, how much distance is covered in one minute.

3/4 divided by 5 is 0.15. That's how many miles per minute. Now, since they're asking for miles per hour, not per minute, you'd have to multiply the rate by one hour (60 minutes).

0.15*60 = 9

So, the speed is 9 miles per hour

The table below
A
3. Circle A has been enlarged to create circle
shows the circumference of both circles.
Circumference
Circle Circumference (inches)
2
5
A
6
A
15
O
1.5
Based on the information in the table, what scale factor was used
9
A
to create circle
?
O
2.5
CLEAR ALL

Answers

Answer:

[tex]Scale\ Factor = 1.5[/tex]

Step-by-step explanation:

See attachment for proper presentation of question.

From the attachment, we have:

[tex]A = 7[/tex]

[tex]A' = 10.5[/tex]

Required

Determine the scale factor

To solve this, simply divide the circumference of A' by that of A.

This gives the scale factor used

i.e.

[tex]Scale\ Factor = \frac{A'}{A}[/tex]

Substitute values for A and A'

[tex]Scale\ Factor = \frac{10.5}{7}[/tex]

[tex]Scale\ Factor = 1.5[/tex]

Hence, the scale factor used is 1.5

Additional Note:

If the given parameters had been the area of A and A', you'll need to first solve for the radius of both circles.

Then determine the scale factor by A'/A

Part B
After adding a tip, the total lunch cost was $32.24. What percentage tip did they give? Enter your answer to the nearest percentage.
96

Answers

Answer:

I think the answer is 96%.

Answer:

If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? the bill would be $27.31, after the tip, $32.24, meaning the tip would be $4.93, and that percentage would be %18.05

Step-by-step explanation:

8 percent of 25.30 is 2.01, add that up, 27.31, subtract 27.31 from 32.24, you get 4.93, figure out the percentage and boom, you got your answer

Pls answer this I’m begging you I will give a brainless if you answer correctly and professionally

Answers

Answer:

answer big no l

x=-6

y=10

Step-by-step explanation:

answer of 4

x 30

Answer:

Step-by-step explanation:

1) 5x + 4 + 3x - 8 = 180 ( co - interior angles )

8x - 4 = 180

8x = 184

x = 184 / 8

x = 23°

y = 3x - 8 ( vertically opposite angles )

y = 3 × 23 - 8

= 69 - 8

= 61°

4) 5 x + 7 = 2x + 97 ( vertically opposite angles )

5x - 2x = 97 - 7

3x = 90

x = 90 / 3

x = 30°

Hope this helps

plz mark as brainliest!!!!!

5.
Write an algebraic expression for the verbal expression "five times a number minus eight.”
A 5x + 8
B 8x - 5
C 5x - 8
D 5 + X - 8

Answers

The answer is C. . . . . . . . . . . . .

evaluate
[tex] \frac{4}{2 {i}^{15} } [/tex]
please show work as I don't understand, thanks​

Answers

Answer:

6

Step-by-step explanation:

good

2. Suppose you save $2000 in a bank account that earns an annual interest rate of 1.2% compounded
continuously.
(a) How much money would be in the account after 5 years?

Answers

Answer:

0.06 is answer of this puestion

why does cutliest give me wrong answers =(​

Answers

Use something else then lol

there are 17 boxes each box holds 42. how many packets of sweets are there in total?

Answers

Answer: 714

Step-by-step explanation:

42 • 17 = 714

divide to check if it is correct

714 ÷ 42 = 17 or 714 ÷ 17 = 42

hope it helps!

Answer:

No.of sweets in one box = 42

No.of sweets in 17 boxes = 42 x 17

                                          = 714

A candy store sells caramels for $9/pound and chocolate for $12/pound. How much more is the cost of 2 pounds of caramel than 1.5 pounds of chocolate? *Show your work*

Answers

Answer:

The caramel is $0 more than the chocolate. In other words, they cost the same.

Step-by-step explanation:

Since we have 2 pounds of caramel and caramel costs $9/pound, the cost of 2 pounds of caramel can be found by this equation:

2lbs · $9 = $18

Since we have 1.5 pounds of chocolate and chocolate costs $12/pound, the cost of 1.5 pounds of chocolate can be found by this equation:

1.5lbs · $12 = $18

To find how much bigger the cost of caramel is than that of chocolate, we will subtract the total cost of the chocolate from the total cost of the caramel.

$18 - $18 = $0

need help.. The midpoint of GH is M(-6,-3). One endpoint is H (-4,4) Find the coordinates of endpoint G.

Answers

Answer:

The coordinates of G are: (-8, -10)

Step-by-step explanation:

Mid point formula:

[tex]x = \dfrac{x_1+x_2}{2}\\y = \dfrac{y_1+y_2}{2}[/tex]

Where,

[tex](x,y)[/tex] are the coordinates of the mid point of the points [tex](x_1,y_1)[/tex]  and [tex](x_2,y_2)[/tex].

As per question statement, we are given that:

[tex]x_2=-4\\y_2=4[/tex]

and

[tex]x=-6\\y=-3[/tex]

To find:

[tex]x_1 = ?\\y_1 = ?[/tex]

Solution:

Let us use the mid point formula:

[tex]-6 = \dfrac{x_1-4}{2}\\\Rightarrow -12=x_1-4\\\Rightarrow x_1=-12+4\\\Rightarrow \bold{x_1=-8}[/tex]

[tex]-3 = \dfrac{y_1+4}{2}\\\Rightarrow -6=y_1+4\\\Rightarrow y_1=-6-4\\\Rightarrow \bold{y_1=-10}[/tex]

The coordinates of G are: (-8, -10)

The lengths of the sides of a triangle are in the extended ratio 7​: 9 ​: 10. The perimeter of the triangle is 52 cm. What are the lengths of the​ sides?

Answers

Answer:

14 cm, 18 cm, 20 cm

Step-by-step explanation:

7x + 9x + 10x = 26x

equation: 26x = 52

divide each side by 26: x = 2

7 * 2 = 14

9 * 2 = 18

10 * 2 = 20

check if answer is right: 14 + 20 + 18 = 52

I hope this helped, please mark Brainliest thank you so much!!

In PE class, 2 teams are formed for a game of tug of war. Team A can pull with 200 lbs. of force. Team B can pull with 160 pounds of force and has room for 1 more player. What is the minimum amount the fourth player will need to pull in order for Team B to win? *

A. x ≥ 40
B. x > 40
C. x ≥ 100
D. x > 100
PLEASE HELP FAST!!!!!!!!

Answers

Answer:

B. x more than 40

Step-by-step explanation:

If you would like to win the tug of war game, you would have to apply a more greater force to win. If Team B needed to win, over 40 lbs. of force would do.

ordered pairs that satisfy the equation y = -3x + 1

Answers

Answer:( 1, -2)

Step-by-step explanation: y= (-3)(1)+ 1

y=-3+1

y= -2

Answer: ( 1, -2 )

Step by step explanation

1. Kim ran the 100-meter race in 135.46 seconds. Tyron ran faster by 15.7 seconds. What was Tyron’s time for the 100-meter dash?

2. Janna takes her medicine 3 times a day. How many days will a 60 ml medicine last if ml is taken each time?

3. May bought 23 of a kilo of meat. She cooked 12 of it. How much did she cook?

4. Arjay bought 8.75 meters of cloth for ₱813.75. Find the cost price per meter.

5. Jay will divide his P112,000 among his 3 brothers. His elder brother will receive of the amount while the remaining amount is to be equally divided among the two younger brother. How much will each of the younger brothers receive?

Answers

Answer:

119.76

8 days

0.5217

93

Step-by-step explanation:

Given that:

1)

Kim's time = 135.46 seconds

Tyron's time is 15.7s faster ;

Tyron's time = 135.46 - 15.7 = 119.76

Janna takes her medicine 3 times a day. How many days will a 60 ml medicine last if 2 1/2ml is taken each time?

(2 1/2 * 3) = 7.5 mL per day

60 mL / 7.5 = 8 days

3. May bought 23 of a kilo of meat. She cooked 12 of it. How much did she cook?

Total bought = 23 of a kilo of meat

Amount cooked = 12 /23= 0.5217 kilo

4. Arjay bought 8.75 meters of cloth for ₱813.75. Find the cost price per meter.

Cost per meter :

813.75 / 8.75 = 93 per meter

5. Jay will divide his P112,000 among his 3 brothers. His elder brother will receive of the amount while the remaining amount is to be equally divided among the two younger brother. How much will each of the younger brothers receive?

Question 5 is Incomplete

A store has 5 travel guide books and 9 fictions on the shelves. If two customers bought a book, find the probability that one of each book was bought.

Answers

Answer:

[tex]Probability = \frac{45}{98}[/tex]

Step-by-step explanation:

Given

Represent travel guide with T and Fictions with F

[tex]T = 5[/tex]

[tex]F = 9[/tex]

Required

Determine the probability that one of both was selected

This implies that (1 travel guide and 1 fiction) or (1 fiction and 1 travel guide)

The probability is is calculated as thus:

[tex]Probability = P(T\ n\ F)\ or\ P(F\ n\ T)[/tex]

In probability, the above formula can be translated to

[tex]Probability = P(T) *P(F)\ +\ P(F) *P(T)[/tex]

[tex]Probability = \frac{n(T)}{Total} *\frac{n(F)}{Total}\ +\ \frac{n(F)}{Total} *\frac{n(T)}{Total}[/tex]

[tex]Probability = \frac{5}{5 + 9} *\frac{9}{5 + 9} +\frac{9}{5 + 9} *\frac{5}{5 + 9}[/tex]

[tex]Probability = \frac{5}{14} *\frac{9}{14} +\frac{9}{14} *\frac{5}{14}[/tex]

[tex]Probability = \frac{45}{196} +\frac{45}{196}[/tex]

[tex]Probability = \frac{90}{196}[/tex]

[tex]Probability = \frac{45}{98}[/tex]

HELP ME PLSS!!!
The coordinate points below show part of data collected by a computer company interested in how fast people type as they get older, where x is age in years and y is typing speed in words per minute.
(5, 12), (13, 25), (12, 22), (18, 45), (15, 39), (15, 32), (16, 33), (17, 40), (7, 17)
If this data was plotted on a scatterplot, would there be a relationship between the variables? If yes, explain the relationship.

Answers

Answer:

I think that it is no.

Step-by-step explanation:

Becasue 15, 39 is more than the 16, 33

Craig wants to use an elevator to carry identical packages having the same weight. Each package weighs 4 pounds and Craig weighs 90 pounds. If the elevator can carry a maximum of 330 pounds at a time, which inequality shows the maximum number of packages, n, that Craig can carry with himself in the elevator if he is the only passenger?

Answers

Answer:

90+4n less than or equal to 330

Step-by-step explanation:

since craig weighs 90 pounds. he will be a constant weight

Since each package weighs 4 pounds, the variable will be 4n

The elevator can hold a maximum of 330 pounds so that is what the inequality should have on the other side

the final equation will be:

90+4n less than or equal to 330

HURRY PLEASE
The quadratic function f(x) crosses the x-axis at -3 and 1.
What are the solutions of f(x) = 0?
A) -3 and -1
B) -3 and 1
C) -1 and 3
D) 1 and 3

Answers

Answer:

B

Step-by-step explanation:

The solutions to a quadratic equation is whenever the graph crosses the x-axis. The solutions are also known as the roots or zeros of the quadratic.

Our quadratic crosses the x-axis at -3 and 1. So, at those two points, f(x) is 0. Namely, we have the two points (-3, 0) and (1, 0).

So, our two solutions are -3 and 1.

Hence, our answer is B.

Answer:

I think it would be B

Step-by-step explanation:

If f(x) is 0, that means the value of x would not change at all. and since its only on the x-axis and neither numbers are used for the y-axis, the solutions would most likely be -3 and 1.

Help Asap! Find the measure of 3.

90°
26°
116°
64°

Answers

Answer:

90°

Step-by-step explanation:

Measure of angle 3 is,

⇒ ∠3 = 90 degree

We have to given that,

A kite is shown in image.

Since, We know that,

If two sides of  triangle are equal then its corresponding angles are also equal in a triangle.

Now, By given figure, we have;

64 x 2 + x + x = 180

128 + 2x = 180

2x = 180 - 128

2x = 52

x = 26

So, We get;

Measure or angle 1 is,

∠ 1 + 64 + 26 = 180

∠1 = 180 - 90

∠1 = 90 degree

Hence, By definition of vertically opposite angle,

⇒ ∠1 = ∠3 = 90 degree

Learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ2

Please help.
Thank you in advance.

Answers

Answer:

its the last box and whisker plot

Step-by-step explanation:

Help please this is urgent☹️

Answers

All of the are correct

4
Find the y-intercept of the line shown on the coordinate plane.
11

Answers

Your answer is 4.

The point is on the corner of 4. Just remember, each box is 1. Just because it is on the top corner of the box does not mean its five, if it were to be on the top corner of five then it will be five. Your answer will be 4.

During November, $83 was spent on travel. In December, $65 was spent on travel. How much was the percent of decrease? Round to the nearest tenth of a percent.


Pls Help

Answers

Answer:

Percent decrease is 21.7%

Step-by-step explanation:

The percent decrease is calculated as:

[tex]Decrease\ percentage = \frac{decrease}{Original\ quantity} * 100[/tex]

Given in the question that:

Cost on travel during November = $83

Cost on travel during December = $65

The percent decrease will be calculated by computing decrease(subtracting the cost of December from the cost of November.

[tex]Decrease = Travel\ cost\ in\ November - Travel\ cost\ in\ december\\Decrease = \$83-\$65\\= \$18[/tex]

Now, for percentage decrease

[tex]Percentage\ decrease = \frac{decrease}{Travelling\ cost\ in\ November} * 100\\=\frac{18}{83} * 100\\=21.686..[/tex]

Rounding off to nearest tenth of percent, we get the percentage decrease as 21.7%

Hence,

Percent decrease is 21.7%

What does one equal 10+ b over 25 equal

Answers

Answer:

b is 15.

Step-by-step explanation:

Trust me on this, The answer could only be 15 when solving for b. Hopefully that helps.

The answer is 15 because that is what it is.

Also the explanation:)

Answers

Answer:

276 guests were at the wedding.

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] + [tex]\frac{5}{12}[/tex] = [tex]\frac{4+5}{12}[/tex] = [tex]\frac{9}{12}[/tex]

1 - [tex]\frac{9}{12}[/tex] = [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{4}[/tex]

[tex]\frac{1}{4}[/tex] of the guests are 69 guests ⇒ 69 × 4 = 276 guests were at the wedding.

Select the scenario below that demonstrates sampling bias. Select the correct answer below:

A. Justin wants to estimate the ethnic background distribution of residents of his town. He collects data from 1000 randomly selected town residents by using a random number generator.

B. To estimate the mean salary of accountants at her bank, Patricia collects data by recording the salaries of all accountants included in 12 randomly selected bank sites.

C. Elizabeth wants to estimate the mean vacation days of coworkers at her company. She collects data by selecting a random group of coworkers within her department.

D. To estimate the mean satisfaction level of coworkers at her company, Annie collects data by recording the satisfaction level of every 25th coworker on the list of coworkers after a randomly selecting first coworker.

Answers

Answer:

C. Elizabeth wants to estimate the mean vacation days of coworkers at her company. She collects data by selecting a random group of coworkers within her department.

Step-by-step explanation:

Sampling Bias is case, in which some section of population have higher or lower chance of being selected in sample than others.

'Elizabeth wants to estimate the mean vacation days of coworkers at her company. She collects data by selecting a random group of coworkers within her department'. This case is of Convenience Sampling, where person selects sample only as per his/ her convenience.

Elizabeth has conveniently chosen sample workers from her department, so they have higher chance of being in sample, others have lesser chance.  Hence, this is Sampling Bias

How many different 3-digit numbers can you write if you may use only the digits 2, 5 and 7, each of them no more than once?

Answers

Answer:

dream is cool................

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The chapter explains that to be professionally successful, you must learn to communicate ______ and Mercedes suggests you can do this by ______.a. digitally; leveraging your own experience as a Millennial.b. "virtually" with global teams; asking advice on face-to-face relationship building.c. globally; sharing moments of company significance with the public.d. in a wide range of work situations; learning new skills from more experienced peers.e. through common social media channels; relying on your personal social media practices. A student is writing the introduction to an opinion piece about school subjects drag into the box what the sentence should be include in the introduction to MOST CLEARLY state her opinion. Each week, Mrs.Mack buys exactly 3 5/8 pounds of cheese for her mac-and-cheese recipe. She chooses from these kinds of cheese. Mrs.Mack buys as many packages as she needs up to three packages of any kind. 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