What is the solution to the system below? x + 5y = 4
x - 5y = -16

(6,-2)
(2,-6)
(-6,2)
(-2,6)​

Answers

Answer 1

Answer:

(-6,2) third option is correct

Step-by-step explanation:

x+5y=4    equation1

x-5y=-16   equation 2

by adding both equations we got

2x=-12

x=-6

now put x=-6 in any of the equation to get y...

-6+5y=4  equation 1      

5y=4+6

5y=10

y=10/5

y=2

(-6,2)

Answer 2

Answer:

(-6, 2)

Step-by-step explanation:

Put (-6, 2) into eq1 and eq2

1. (-6) +5(2)= -6 +10 =4  

2.(-6) - 5(2)= -6-10 = -16

only one that works is (-6, 2)


Related Questions

PLEASE HELP!!! WILL GIVE BRAINLIST

Answers

Answer:

28 ft = 9 yd and 1 ft

It costs $15,700 to build a particular car. This car sells for $24,322. What is the percent markup on the car to the nearest percent.

Answers

Answer: $15,700 - $24,322= 8622

Step-by-step explanation:

All you have to do is subtract

URGENT Find the area of the shaded region.​

Answers

Answer: 3.32276 units squared

Step-by-step explanation:

area of total sector=(pi*r^2)/360

=2^2 * 120pi /360

=4*120/360 * pi

=4.1887902

area of the triangle=(1/2)*base*height

the height is 1 (because you can divide the triangle down the middle to make a 30 60 90 triangle, and the sin(30)=x/2, so 2sin(30)=x, x=(1/2)*2

the base is equal to [tex]\sqrt{3}[/tex] because the base of the 30 60 90 triangle is 2sin(60), and sin60 is [tex]\sqrt{3}[/tex]/2, so you have to double that to get the area of the 120 degree triangle.

the area of the triangle is (1/2)*1*[tex]\sqrt{3}[/tex]=[tex]\sqrt{3} /2[/tex]=0.866025

so the difference is 4.1887902-0.866025

=3.32276 units squared

Which classifications apply to the polygon? Check all that apply.

convex
concave
regular
hexagon
octagon

Answers

It’s concave and hexagon

Answer:

B and D

Step-by-step explanation:

Factor the expression step by step Someone help me pls

Answers

Answer:

1. Split up the linear term: [tex]2x^{2}[/tex]+2x-3x-3

2. Group terms that have common factors: ([tex]2x^{2}[/tex]+2x)+(-3x-3)

3. Factor out the greatest common factor: 2x (x+1) -3 (x+1)

4. Factor out the greatest common factor: (x+1)(2x-3)

Answer: (x+1)(2x-3)

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Which value is included in the solution set for the inequality graphed on the number line?
0
1
2
3
4
3

Answers

Answer:

2

Step-by-step explanation:

BIG BIG POINTS!!!!!! PLEASE HELP ASAP I'M BEING TIMED!!!!!!!!!!!!!!!!!!!!!! Will mark BRAINLIEST!!!!!!!!!!!! HELP ME PLEASEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?


A) Use the distance formula to find the length of each side, and then add the lengths.

B) Use the slope formula to find the slope of each side, and then determine if the opposite sides are parallel.

C) Use the slope formula to find the slope of each side, and then determine if the consecutive sides are perpendicular.

D) Use the distance formula to find the length of the sides, and then multiply two of the side lengths.

Answers

A) Use the distance formula to find the length of each side, and then add the lengths.

the answer is A :) (i need more letters lol)

what is the least common denominator between 3/4 4/5 and 2/3

Answers

Answer:

The Least Common Denominator of 3/4, 4/5 and 2/3

Would be,

4 × 5 × 3 = 60

Hence,

60 is the L.C.D of 3/4, 4/5 and 2/3

Which process will create a figure that is congruent to the figure shown?

Answers

Answer:

A translation of 4 units up, followed by a reflection over the y-axis, followed by a rotation of 90° counterclockwise around the point shown on the figure.

Step-by-step explanation:

Hope it helps!

Answer:

Top right answer

Step-by-step explanation:

htam (:

What is the commission rate for a car salesman who earned $1500 in commission on a 25,000 car?

Answers

Answer:

6%.

Step-by-step explanation:

IM SO TIRED CAN SUM1 HELP PLS.

Answers

Answer:

a. $250

b. 50x + 200

Step-by-step explanation:

a. For the first month, you have to account for the cost to start which is $200, and the adition of the $50 for each month.

b. the 200 is only a one time fee so you add it on to months(x)

Answer:

a. 250$

b. 200+50x

Step-by-step explanation:

#1 What is the total cost to use the cell phone plan for one month?

GIVEN:

Startup price=$200

Charge per month=50$

SOLVE:

The total cost for one month will be the startup price+ charging price for one month.

200+50=250$

#2 What is the total cost for x months?

The total cost for x months will be the startup price+charging price for x months.

200+50x

Hope this helps!! :)

Please let me know if you have any questions

You are interested in finding a 90% confidence interval for the average number of names that people can correctly recall after being introduced to 40 people at a party. Based on past research, you know that the standard deviation for this number is 6.34 names. Suppose you surveyed 55 randomly selected people and found that they correctly remembered an average of 18.16 names. The standard deviation for this group was 4.28 names. Round your answers to two decimal places.

A. The sampling distribution follows a __________ distribution.

B. With 90% confidence the mean number of names that all people can remember when introduced to 40 people at a party is between ______ and _______

C. If many groups of 55 randomly selected people were surveyed, then a different confidence interval would be produced for each group. About _____ percent of these confidence intervals will contain the true population mean number of names remembered and about ______ percent will not contain the true population mean number of names remembered.

Answers

Answer:

A. The sampling distribution follows a normal distribution

B. With 90% confidence the mean number of names that all people can remember when introduced to 40 people at a party is between 17.04 and 19.28

C. If many groups of 55 randomly selected people were surveyed, then a different confidence interval would be produced for each group. About 90 percent of these confidence intervals will contain the true population mean number of names remembered and about 10 percent will not contain the true population mean number of names remembered  

Step-by-step explanation:

The given parameters are;

The known population standard deviation of the number of names that people can recall after being introduced to 40 people in a party, σ = 6.34 names

The number of people randomly selected in the survey, n = 55 people

The average number of names correctly remembered, [tex]\overline x_1[/tex] = 18.16

The standard deviation of the group surveyed, s = 4.28

A. Based on the Central Limit Theorem CLT, the sampling distribution follows a normal distribution

B. The 90% confidence interval is given as follows;

[tex]C.I.=\bar{x}\pm z_{\alpha /2}\cdot \dfrac{\sigma}{\sqrt{n}}[/tex]

Where [tex]z_{\alpha /2}[/tex] at 90% = 1.65, we have;

[tex]C.I.=18.16\pm 1.65 \times \dfrac{4.28}{\sqrt{55}}[/tex]

C.I. ≈ 17.20 < μ < 19.11

With 90% confidence the mean number of names that all people can remember when introduced to 40 people at a party is between 17.04 and 19.28

C. The 90% confidence interval gives the certainty that if different groups of 55 randomly selected people were surveyed, then about 90 percent of the confidence intervals will contain the true population mean number of names remembered and about 10 percent will not contain the true population mean number of names remembered.

170% of what number is 40?
Provide and exact fraction answer

Answers

Answer: 23.53

Step-by-step explanation:

We have, 170% × x = 40

or,

170

100

× x = 40

Multiplying both sides by 100 and dividing both sides by 170,

we have x = 40 ×

100

170

x = 23.53

If you are using a calculator, simply enter 40×100÷170, which will give you the answer.

PLEASE HELPP ILL GIVE BRAINLIEST

Answers

The answer would be 75%

5. Find the missing reference angle using arcsin, arccos, or arc tangent. (Round to
the nearest whole number)
14
48
50
Your answer

Answers

Answer:

16°

Step-by-step explanation:

Reference angle = [tex] \theta [/tex]

Side Opposite to reference angle = 14

Adjacent side = 48

Hypotenuse = 50

Let's apply arcsin:

Thus:

[tex] \theta = sin^{-1}(\frac{Opp}{Hyp}) [/tex] (recall: SOHCAHTOA)

Plug in the values

[tex] \theta = sin^{-1}(\frac{14}{50}) [/tex]

[tex] \theta [/tex] = 16.2602047° = 16°

The quotient of a number and -6 decreased by 2, is 10. FInd the number

Answers

Answer:

[tex]x = 48[/tex]

Step-by-step explanation:

Quotient means what you get when you divide a number by another number.

What we can do is make an equation using the information given, which turns out to be this:

[tex](\frac{x}{6}) - 2 = 10[/tex]

Add 2.

[tex]\frac{x}{6} = 8[/tex]

Multiply by 6.

[tex]x = 48[/tex]

which are the correct answer? need help

Answers

Answer:

1D 2B 3A

Step-by-step explanation:

answer: 1 D 2 B 3 A

Step by step explanation:

I need help on this ASAP

Answers

75cm²

Explanation:

10 times 15 is 150 and since it is a triangle you divide in half so the answer is 75. And in this case the 18 is not needed.

Answer:

75cm²

Step-by-step explanation:

The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle. But in this case, there are three sides.

To find the area of a triangle with 3 sides given as 10, 15, and 18, we assume that a = 10, b = 15, and c = 18.

Then the semi-perimeter is, s = (a + b + c)/2 = (10 + 15 + 18)/2 = 21.5. We will find the area of the triangle using Heron's formula.

A = √[s(s-a)(s-b)(s-c)]

= √[8(21. 5-10)(21.5 -15)(21. 5-18)]

= √[21.5 × 11.5 × 6.5 × 3.5]

= √(5625)

≈ 7.5

BESTIES KINDA FAILING AT SCHOOL RN NEED YOUR HELP ASAP

Answers

Answer:

well this one is kind of obvious and you don't have to do any actual math with it. I'm 99% sure that when you have the two sets of coordinates you can find the slope. so the answer would be A. :)

Step-by-step explanation:

Find the domain and range of the relation: { ( 4 , − 4 ) , ( 3 , − 4 ) , ( 2 , − 4 ) , ( 1 , − 4 ) } . Then determine whether the relation is a function.

Answers

Answer:

Domain: [tex]Dom\{f\} = \{1,2,3,4\}[/tex], Range: [tex]Ran\{f\} = \{-4\}[/tex]

The relation is a function.

Step-by-step explanation:

Let be [tex]f[/tex] a relation. The domain of the relation is the set of first components of ordered pairs of the relation, whereas the range of the relation is the set of second components of ordered pairs of the relation. Hence, the domain and range of the relation are, respectively:

[tex]Dom\{f\} = \{1,2,3,4\}[/tex]

[tex]Ran\{f\} = \{-4\}[/tex]

A relation is a function if and only if every element of the domain has only one element of the range. This is the case for this relation, since there is just an element for range.

In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Xochitl sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
313 visitors purchased no costume.
32 visitors purchased exactly one costume.
23 visitors purchased more than one costume.

Based on these results, express the probability that the next person will purchase exactly one costume as a decimal to the nearest hundredth.

Answers

Answer: 0.09

Step-by-step explanation:

;)

PLSS HELP ME I AM GOING TO CRY IF I DONT GET THIS ANSWER PLSS HELP ME What is the slope-intercept equation of the line below?

Answers

Answer:

y = -3x + 4

Step-by-step explanation:

Hey!

==================================================================

Slope-Intercept Form: y - mx + b, where m is the slope and b is the y-intercept (point where x =0).

Since we know that the slope is -3, we substitute that in for m.

y = -3x + b

Now, we know the y-intercept is 4, so we substitute that in for b:

y = -3x + 4

==================================================================

Hope I Helped, Feel free to ask any questions to clarify :)

Have a great day!

More Love, More Peace, Less Hate.

       -Aadi x

PLEASE HELP I WILL GIVE BRAINLIEST
Suppose that x and y vary inversely and that x = 30 when y = 2
1) Write a function that models the inverse variation.
2) Find x when y = 12

Answers

Answer:

1. x is inversely proportional to y

x=k/y

k is the constant of proportionality

x =60/y

2. x=60/y

x=60/12

x=5

Find the 100th term for the sequence. -9,-4, 1, 6, 11, .......

Answers

Answer:

486

Step-by-step explanation:

for the 2nd term, add 5 to -9

for the 3rd, add 5 × 2 to -9

for the 4th, add 5 × 3 to -9

:

for the 100th, add 5 × (100 - 1) to -9

=> 5 × 99 + (-9)

=> 486


PLEASE HELP!!!
This graph shows the relationship between demand and price for goods sold at a shop. Anna plots the data on a scatter plot and draws a line of best fit to represent the relationship as shown.

This is not the line of best fit because the line ____________.
A.) Is close to the data points
B.) does not fit every data point exactly.
C.) Is not through the middle of the data points.

Anna could get a better fit by _____
A.) Decreasing
B.) Increasing
C.) Keeping

the y-intercept and ______ the slope.
A.) Decreasing
B.) Increasing
C.) Keeping

Answers

Answer:

1st question:  C

2nd question: Increasing (the slope)

3rd question:  don't understand what's being asked

Step-by-step explanation:

Answer:

the answers are

Step-bythe answers are -step explanation:

1.C

2.a

3.B

A cylindrical container of six rubber balls has a height of 18 centimeters and a diameter of 3 centimeters. Each ball in the container has a radius of 1.5 centimeters. Find the amount of space in the container that is not occupied by rubber balls. Round your answer to the nearest whole number. - Could you help me with this?

Answers

Answer:

170 cm²

Step-by-step explanation:

Height of Cylindrical container = 18 cm ; diameter of cylindrical container = 6 cm.

Hence, radius of cylindrical container = 6/2 = 3 cm

Rubber balls = 3 each have a radius of 3 cm.

Volume of a cylinder = π r² h

V = 3.14 * (3cm)² * 18 cm

V = 508.68 cm³

Volume of rubber ball = 4/3 π r³

V = 4/3 * 3.14 * (3cm)³

V = 113.04 cm³

Volume of 3 rubber balls = 3 * 113.04 = 339.12³

Take the difference to obtain answer :

Volume of cylinder - Volume of rubber ball

508.68 cm³ - 339.12³

= 169.56 cm²

170 cm² (nearest whole number

You and your friend are standing back-to-back. Your friend runs 14 feet forward and then 7 feet right. At the same time, you run 10 feet forward and then 11 feet right. You stop and throw a baseball to your friend, who catches it. How far did you throw the baseball?

Answers

Answer:

30.52 feet.

Step-by-step explanation:

Hello! Please help me. Huhu

Answers

The median is 162 centimeters.

Use the given equation to complete the table s = 16t^2 using the points from the table select the graph the best represents the equation a. 0, 16, 64, 144; graph a b. 0, 4, 8, 12 graph a c. 0, 16, 64, 144; graph b d. 0, 4, 8, 12; graph b

Answers

Answer:

0, 16, 64, 144

Step-by-step explanation:

I substituted the t values into the giving equation and solved until it gave the s values.

I hope this helps^-^

Answer:

It's A

0, 16, 64,144 graph A edge

Step-by-step explanation:

I got it right see

Find the coordinate of the points of intersection of the graphs without building them: 20x - 15y = 100 and 3x - 5 =6y

Answers

Answer:

(-4.666667, -3.16667)

Step-by-step explanation:

(-4 2/3, -3 1/6)

9514 1404 393

Answer:

  (x, y) = (7, 2 2/3)

Step-by-step explanation:

We can multiply the first equation by 2/5 to get ...

  8x -6y = 40

The second equation gives an expression for 6y that we can substitute.

  8x -(3x -5) = 40

  5x +5 = 40 . . . . . eliminate parentheses

  x +1 = 8 . . . . . . . .divide by 5

  x = 7 . . . . . . . . . .subtract 1

Using the second equation, we find ...

  3(7) -5 = 6y

  y = 16/6 = 2 2/3

The coordinates of the point of intersection are (x, y) = (7, 2 2/3).

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