6x+2y=
6x+2y=
\,\,16
16
2x-2y=
2x−2y=
\,\,32
32

Answers

Answer 1

Answer:

x = 6, y = -8

Step-by-step explanation:

First we take the equations side by side and put them like this:

 6x + 2y = 16

+ 2x - 2y = 32

8x = 48

Then solve for x.

x = 6

Then insert x back into either equation

2(5) - 2y = 32

10 - 2y = 32

solve for y,

y = -10


Related Questions

Graph the line with slope - 1 passing through the point (-3, 3). ​

Answers

Answer:

Y=-x

Step-by-step explanation:

Y=mx+c

y=3, x= -3, m=-1

(-1)(-3)=3

3-3=0

S0,

c=0

y=-x

Answer:

This is how your graph with slope of -1 and (-3,3) should look like. I hope this helps you!!

Step-by-step explanation:

A pair of elephants walk 26 meters on a straight slope. The height of the slope is 12 meters. Find the angle between ground and the top of the hill.

Answers

Answer:

36

Step-by-step explanation:

what is 12 take away 1 3/5​

Answers

10 3/5

thank your guy for the pool work

A tortoise is walking in the desert. . It walks for 7 minutes at a speed of 8.75 meters per minute. For how many meters does it walk ?

Answers

Answer: 61.25 meters

8.75meters x 7mins= 61.25 meters

Step-by-step explanation:

Well it would be 8.75 ×7 which is 61.25m

A pair of dice was rolled many times and the results appear below. Based upon these results, what is the experimental probability of rolling a multiple of 3?
Outcome
2 3 4 5 6 7 8 9 10 11 12
Frequency
3 6 8 11 14 16 15 12 9 5 1 The percent probability is = [ ? ]%
Round to the nearest percent.

Answers

Answer:

The exponential probability should be 33%.

Step-by-step explanation:

[tex]4 \div 12 = .33 \\ [/tex]

[tex].33 \times 100 = 33\%[/tex]

The experimental probability of rolling a multiple of 3 will be 33%.

What is probability?

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

A pair of dice was rolled many times and the results appear below. Based upon these results.

Outcome      2     3     4     5     6     7     8     9     10     11     12

Frequency    3    6     8     11     14   16    15    12     9      5      1

Then the experimental probability of rolling a multiple of 3 will be

Favorable events = 6 + 14 + 12 + 1 = 33

Total events = 100

Then the probability will be

P = (33 / 100) x 100

P = 0.33 x 100

P = 33%

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What is an equation that is true for all values of the variable

Answers

Answer:

x=x

Step-by-step explanation:

A small engine shop receives an average of repair calls per​ hour, with a standard deviation of . What is the mean and standard deviation of the number of calls it receives for ​-hour ​day? What, if​ anything, did you​ assume?

Answers

Answer:

Assuming normal distribution, the mean number of calls for a n-hour day is of [tex]m = n\mu[/tex], in which [tex]\mu[/tex] is the mean number of calls per hour, and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex], in which [tex]\sigma[/tex] is the standard deviation of the number of calls per hour.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

N-instances of a normal variable:

For n-instances of normal variable, the mean of the distribution is: [tex]m = n\mu[/tex], and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex]

What is the mean and standard deviation of the number of calls it receives for ​n-hour ​day?

Assuming normal distribution, the mean number of calls for a n-hour day is of [tex]m = n\mu[/tex], in which [tex]\mu[/tex] is the mean number of calls per hour, and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex], in which [tex]\sigma[/tex] is the standard deviation of the number of calls per hour.

Solve (x + 5)∕3 = 4 for x.

Answers

4+5=9 • 3 =27/4= 6.75

Answer:

7

Step by step explanation:

1. multiply both sides by 3

          3(x+5)/3 =4 x 3

2. Simplify

   x + 5=12

3. Subtract 5 from both sides

   x+5-5=12-5

4. Simplify

  7

Which point on the x-axis lies on the line that passes through point P and is perpendicular to line MN?

Answers

Answer:

What is 1/3 of 814

Step-by-step explanation:

What is 1/3 of 814

Answer: I think C

Step-by-step explanation:

name an outcome that has a probability between 0.5 and 1​

Answers

Answer:

a coin flip

Step-by-step explanation:

The probability of an event is a number describing the chance that the event will happen. An event that is certain to happen has a probability of 1. An event that cannot possibly happen has a probability of zero.

Answer the questions about the following polynomial.

-10x +1

Answers

Answer:

Step-by-step explanation:

Given polynomial is (-10x + 1).

This polynomial has two terms.

Therefore, it's a binomial with two separate terms.

The expression represents a binomial polynomial with two terms. The constant term is 1, the leading term is -10x, and the leading coefficient is (-10).

Translate the sentence into an equation. The quotient of a number and 8 is 16. What is the solution to the equation? One-half 2 128 164

Answers

Answer:

128

Step-by-step explanation:

I did the math

Answer:

it's 2 :)

Step-by-step explanation:

quotient is a term used in division so you divide

16 divided by 8 is 2 <3

don't forget to say thanks if you got it right ! :)

Find the slope thanks

Answers

9. -4/15
10. -1/14
11. -3/4
12. -1/4
13. 11/17
14. -18/13
15. undefined
16. -30

The figure is made up of 2 rectangles and 2 right triangles. What is the area of the figure? 132 units2 156 units2 168 units2 216 units2

Answers

132 units2

Just find the area of each shape:
Big triangle- 1/2 x 8 x 9 = 36 units2
Small triangle- 1/2 x 4 x 6 = 12 units2
Big rectangle: 15 x 4 = 60 units2
Small rectangle: 6 x 4 = 24 units2

Add them all up together:
36 + 12 + 60 + 24 = 132 units2

Trust me this is the answer.
COM.MENT ME IF U HAVE ANY QUESTIONS
(Pls say if im right)

A brainliest would be nice!
-SpaceMarsh

f(-5)=
Pls help i will mark the brainliest!

Answers

Answer:

f(-5)=7

Step-by-step explanation:

Because y=f(x) so f(-5) means x=-5.

Now you look at the graph, we can see at x=-5 , y=7. So f(-5)=7

Answer:

7

Step-by-step explanation:

Go to - 5 along the x axis.

When you hit the blue, go straight across until you hit the number on the y axis.

That number is 7

The shape of a carpet is a semicircle. Use 22 7 as an approximation for π. a) Find its area. b) Janice wants to put a fringed border on all sides of the carpet. How many feet of fringe are needed?

Answers

Answer:

Step-by-step explanation:

The solution is : a) area of the semicircle = 76.97 ft^2.

b) Janice wants to put a fringed border on all sides of the carpet : 36ft.

What is area ?

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

Here, we have,

given that,

The shape of a carpet is a semicircle.

from the given diagram, we get, the diameter = 14ft

now, we know that,

area of the semicircle = πr²/2

here, we have,

diameter = 14 ft

so, radius = 14/2 = 7 ft

so, area = π*7²

             = 153.94

a.) so, area of the semicircle = 76.97 ft^2

again,  

b) Janice wants to put a fringed border on all sides of the carpet,

so, the perimeter = π r + d

                            = 36ft

Hence, The solution is : a) area of the semicircle = 76.97 ft^2.

b) Janice wants to put a fringed border on all sides of the carpet : 36ft.

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if the orginal quantity is 15 and the new quantity is 19 estimate the percent change of which of these is the best esitmate for the percet change

A. 25% DECREASE

B. 5% DECREASE

C 25% INCREASE

D 5% INCREASE

Answers

Answer:

The awnser should be 5% increase or D

Step-by-step explanation:

This should be the awnser because we know that 15 to 19 is a increase. And next 25% increase is way too much, so 5% should be it.

5% increase? 25% increase would be way to high and it’s going up not down so it’s not decreasing:)

solve for x to the nearest tenth y completing the square: x^2-5x+7=0​

Answers

Answer:

does not have a solution because √-0.75 ≠ R

Step-by-step explanation:

x^2 - 5x + (5/2)^2 = -7

x^2 - 5x + 6.25 = -7 + 6.25

(x - 2.5)^2 = -0.75

(x - 2.5) = √-0.75

does not have a solution because √-0.75 ≠ R

Answer:

x = (1/2)(5 ± i√3)

Step-by-step explanation:

x² - 5x + 7 = 0

subtract 7 from both sides

x² - 5x = -7

Use half the x coefficent, -5/2, as the complete the square term

(x - 5/2)² = -7 + (-5/2)²

(x - 5/2)² = -7 + 25/4

(x - 5/2)² = -3/4

Take the square root of both sides

x - 5/2 = ±(√-3) / 2

x - 5/2 = ±(i√3) / 2

Add 5/2 to both sides

x = 5/2 ± (i√3) / 2

factor out 1/2

x = (1/2)(5 ± i√3)

Profit = Revenue - Cost: P = R - C

(a) Solve for R.
(b) Find R when P = $4525 and C = $1475.

Answers

Answer:

(a) R = P +C

Revenue= Profit + Cost

(b) R = $6000

Step-by-step explanation:

(b) R = $4525 + $1475

        = $6000

The table shows the completion times of four Horses in a race.
Horses
Time (Seconds)
Horse-3
1512
Horse-4
15.4
Horse-2
154
Horse-1
15.8
Which list shows the Horses in order by their completion times from fastest to slowest?
A. Horse-1, Horse-3, Horse-2, Horse-4
B.
Horse-4, Horse-3, Horse-2, Horse-1
C. Horse-4, Horse-2, Horse-3, Horse-1
D. Horse-1, Horse-2, Horse-3, Horse-4

Answers

Answer:

I think the answer is option B

Answer:

I think it is (b

Step-by-step explanation:

There are 90 girls in fourth form 25 of whom study biology what percentage of fourth form girl study biology?

Answers

90=100%
25 divided by 90= 0.2777
Move decimal over to the right twice is 27.7%
It would be 27.7 percent

please help! (listing BRAINLIST and giving points) ​:D​

Answers

X = 56+66 (sum of interior opposite angles)
X = 122 degree

Help?!??? What is the distance!
Trig. Ch.7.1

Answers

9514 1404 393

Answer:

  100 m

Step-by-step explanation:

One side between two angles is given, so we need to find the third angle. The sum of angles in a triangle is 180°, so the third angle is ...

  A = 180° -110°20' -13°20' = 56°20'

The law of sines can be used to find the length of side AB:

  AB/sin(C) = BC/sin(A)

  AB = BC·sin(C)/sin(A) . . . . multiply by sin(C)

  AB = (360 m)sin(13°20')/sin(56°20') ≈ 99.75253 m

The distance AB across the river is about 100 m.

six subtracted from one-half a number is 12.

Answers

Answer:

Number is 36

Step-by-step explanation:

Let the number be x

one half  of the number is  [tex]\frac{1}{2} x[/tex]

6 subtracted from one half is 12, That is,

                                                             [tex]\frac{1}{2} x - 6 = 12\\\\\frac{1}{2}x = 12 +6 \\\\x = 18 \times 2 = 36[/tex]

The number would be 36


What is the measure of angle y in the figure?

Answers

Answer:

y = 27

Step-by-step explanation:

The sum of the two angles is a right angle, which is 90 degrees

y+63 = 90

y = 90-63

y =27

Answer:

The measures of angle y is 30 °.

Step-by-step explanation:

We know that, the sum of two side of right angle is 90 °.

60 ° + y = 90 °

subtract 60 ° from each side

y = 90 ° - 60

y = 30 °

Therefore, the measures of angle y is 30°.

Please help someone! Very important!

Answers

Answer:

OH NO

Step-by-step explanation:

Step-by-step explanation:

oh srr, I'm Vietnamese and I don't know your

country's solution

but i think my answer is correct :((

Sketch the area under the standard normal curve over the indicated interval and find the specified area.

a. The area to the right of z = 0
b. The area to the left of z = 0
c. The area to the left of z = −1.35
d.The area to the left of z = −0.48

Answers

Answer:

a) The area of the right of z=0 is P(z >0) =0.5.

b) The area of the left of z=0 is P(z < 0) =0.5.

c) The area of the left of z=-1.35 is P(z <- 1.35) =0.0885.

d) The area of the left of z=-0.48 is P(z <-0.48) =0.3156.

Step-by-step explanation:

Here are the graphs respectively.


in rectangle ABCD above,
1. How many opposite sides are equal?
2. Name the parallel opposite sides.
3. Name the opposite angles that are equal.
4. How many right angles can you identify?
5. Identify the equal opposite sides.
6. How many triangles can you identify?
7. Line AB and CD are adjacent to each other.
true or false?
8. the dotted lines AC andBD are called what?

Answers

Answer and Step-by-step explanation:

1. 2 pairs (aka 4 sides) of Opposite Sides are equal

2. AB and DC are parallel, and AD and BC are parallel  

3. Angles BDC and ACD are equal, angles DAC and DBC are equal, the angles ADB and BCD are equal, angles CAB and DBA are equal

4. 4 right angles

5. AB and DC are equal, and AD and BC are equal

6. 4 Triangles

7. False

8. Diagonals of a rectangle.

#teamtrees #PAW (Plant And Water)

AD=3, BD=5, AE=4. Find CE

Answers

Answer:

6.6

Step-by-step explanation:

Triangles ADE and ABC are similar.

Therefore,

AD/AB=AE/AC

3/8=4/AC

3AC=32

AC=10.6(3 s.f)

CE=10.6-4=6.6

Find f(-2) for f(x) = 3x2^x

Answers

2^-2
Is 1/2^2=1/4
3 x 1/4 is 3/4
The answer is 3/4 I think

The value of function f (- 2) would be,

⇒ f (- 2) = 3 / 4

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The value of function is,

⇒ f (x) = 3 × 2ˣ

Now,

At x = - 2;

The value of function f (- 2) would be,

⇒ f (x) = 3 × 2ˣ

⇒ f (- 2) = 3 × 2⁻²

⇒ f (- 2) = 3 × 1 / 4

⇒ f (- 2) = 3 / 4

Thus, The value of function f (- 2) would be,

⇒ f (- 2) = 3 / 4

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