Solve this system of equations algebraically: y x = 19 – x2 x y = 80 1. Isolate one variable in the system of equations. Y = –x2 – x 19 y = –x 80 2. Use substitution to create a one-variable equation. –x 80 = –x2 – x 19 3. Solve to determine the unknown variable in the equation. The system has real number solution(s).

Answer:

x = -2y

Step-by-step explanation:

Simplifying

600x + 200y = 500x

Solving

600x + 200y = 500x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-500x' to each side of the equation.

600x + -500x + 200y = 500x + -500x

Combine like terms: 600x + -500x = 100x

100x + 200y = 500x + -500x

Combine like terms: 500x + -500x = 0

100x + 200y = 0

Add '-200y' to each side of the equation.

100x + 200y + -200y = 0 + -200y

Combine like terms: 200y + -200y = 0

100x + 0 = 0 + -200y

100x = 0 + -200y

Remove the zero:

100x = -200y

Divide each side by '100'.

x = -2y

Simplifying

x = -2y

hope this helps!

ibrahim

The rate of change or essentially the slope is a numerical value that describes the direction and the steepness of the line.

To find the slope, we just need any two points on the line

       --> Let's pick (0,2) and (2,6)

The slope's equation = [tex]\frac{y2-y1}{x2-x1}[/tex]

Let's plug the known quantities into the equation

     [tex]\frac{y2-y1}{x2-x1}=\frac{6-2}{2-0} =\frac{4}{2} =2[/tex]

Therefore the rate of change is 2 km/trip

Hope that helps!

Twice means two times

18.9 - 2x = 9.9

18.9 -18.9 -2x=9.9 - 18.9

-2x=9.9 - 18.9

(-2x= -9) divide both sides by negative two

-2x/-2 = -9/-2

x=4.5

A Control Chart is a tool that uses time-ordered values of a sample statistic to help detect the presence of correctable causes of variation in a process.

There are various kinds of control charts. They are:

The most commonly used control chart is the Individuals and Moving Range Chart.

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Answer:

(3x + 4)(3x + 4)

Step-by-step explanation:

[tex]9x^2+ 24x +16 \\ \\ = 9x^2+ 12x + 12x +16 \\ \\ = 3x(3x + 4) + 4(3x + 4) \\ \\ = (3x + 4)(3x + 4)[/tex]

The answer is 10.

Step-by-step explanation:

I have the same question on some tests of mine

Answer:

9b²-4

Step-by-step explanation:

(3b-2)(3b+2)

9b²+6b-6b-4

9b²+0-4

9b²-4

first to answer, pls brainliest.

The mean abosolute deviation of the given data set is: 42.9422.

The mean absolute deviation is the avergae of the distance of each data point from the mean of the data set.

Given:

23, 75, 79, 99, 105, 110, 110, 142, 149, 168, 168, 170, 183, 195, 202

Mean: (23 + 75 + 79 + 99 + 105 + 110 + 110 + 142 + 149 + 168 + 168 + 170 + 183 + 195 + 202)/15

Mean = 1978/15 = 131.8667

Mean aboslute deviation = [(23 - 131.8667) + ( 75 - 131.8667) + ( 79 - 131.8667) + ( 99 - 131.8667) + ( 105 - 131.8667) + ( 110 - 131.8667) + ( 110 - 131.8667) + ( 142 - 131.8667) + ( 149 - 131.8667) + ( 168 - 131.8667) + ( 168 - 131.8667) + ( 170 - 131.8667) + ( 183 - 131.8667) + ( 195 - 131.8667) + ( 202 - 131.8667)] / 15

Mean aboslute deviation = 644.1333/15 = 42.9422

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Answer:

65 coins

Step-by-step explanation:

Set this problem up with a porportion.

[tex]\frac{?}{260} \frac{25}{100}[/tex]

After that, cross multiple and divide.

25 times 260. Then divide by 100. That is then your answer.

Answer:

Step-by-step explanation:

(4sqrt2)/4 = 4/(projection)

sqrt2 = 4/(projection)

projection = 2sqrt2

So by the Pythagorean theorem, the altitude is also 2sqrt2.

Answer:

B

Step-by-step explanation:

Edge

Answer:

Step-by-step explanation:

Sarah swam the diagonal length of a right-angled triangle with sides of river width, 193m and how far she was swept downstream, 67m.

By Pythagorean Theorem, distance swam = sqrt(193^2+67^2)

= 204.3 m

Apply Pythagorean theorem

[tex]\\ \rm\rightarrowtail H^2=P^2+B^2[/tex]

[tex]\\ \rm\rightarrowtail H^2=193^2+67^2[/tex]

[tex]\\ \rm\rightarrowtail H^2=41738[/tex]

[tex]\\ \rm\rightarrowtail H=204ft[/tex](Approx)

Hello.

First, "twice a number" means we multiply 2 times that number.

Let the number be s.

Now, the sum of 2 times s and 5 is 21.

The product of 2 and s can be written like so:

[tex]\sf{2s[/tex]

Now, the sum of 2s and 5 is 21:

[tex]\sf{2s+5=21[/tex]

Subtract 5 from both sides:

[tex]\sf{2s=21-5[/tex]

[tex]\sf{2s=16}[/tex]

Now, divide both sides by 2:

[tex]\Large\boxed{\sf{s=8}}[/tex]

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

x = 8

Step-by-step explanation:

Let the required number be x.

According to the given question,

=> 2x + 5 = 21

=> 2x = 21 - 5

=> 2x = 16

=> x = 16/2

=> x = 8

Answer:

i'm really not sure i'm sorry-

Step-by-step explanation:

ima get my smart friend to find the answer for you <3

Answer:

5, -6

Step-by-step explanation:

We just need to find out the factors of -30 and they are 1 x -30, 2 x -15, 3 x 10 and 5 x -6. We can try out every factor to add  so it's either:

-29

-13

-7

-1

the last is the answer we're looking for so it's 5 x -6

The 2 numbers are 5 and -6

24 minutes.

Let me explain.

The lawn can be any size, but for the purpose of simplicity, let's say it's 240 square meters.

Peter mows 6 square meters per minute if he mows 240 square meters in 40 minutes.

John mows 4 square metres each minute if he mows 240 square metres in 60 minutes.

They'll mow 10 square meters per minute if they work together.

As a result, mowing the entire lawn will take them 24 minutes.

(Note that the location is irrelevant as long as we know how long each man takes to complete the task separately.) The answer would be the same if the field was 1 million hectares in size.)

I hope this helps.

Answer: 4

Step-by-step explanation:

Well 15/4 is 3.75 so to get the whole number you need to round up

.75 rounds up to .8 now round 3.8 well 3.8 rounded up is 4 there's your answer! :)

Answer: D

Step-by-step explanation: payment equals to money earned per hour (p=6.25h).

Answer:

1 gallon per 19.64mi

Step-by-step explanation:

275/14 =19.6428571429

Answer:

19.65 miles per gallon

Step-by-step explanation:

That is your answer because you have to divide the amount of gallons by miles.

275/14 = 19.65 miles per gallon

I hope it helps! Have a great day!

bren~!

The volume of the rectangular prisms is given by 72 in³, 36 in³, 80 in³ and 54 in³

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of a rectangular prism is given by:

Volume = length * width * height

a) Dimensions: 4 in., 3 in., 6 in.

Volume = 4 * 3 * 6 = 72 in³

b) Dimensions: 6 in., 3 in., 2 in.

Volume = 6 * 3 * 2 = 36 in³

c) Dimensions: 4 in., 5 in., 4 in.

Volume = 4 * 5 * 4 = 80 in³

d) Dimensions: 2 in., 9 in., 3 in.

Volume = 2 * 9 * 3 = 54 in³

The volume of the rectangular prisms is given by 72 in³, 36 in³, 80 in³ and 54 in³

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Answer:

divide 8 and 398 and you will get ur answers

Answer:

help me

Step-by-step explanation:

Answer: Angle 1= 32 degrees

Angle 2=90 degrees

Angle 3=58 degrees

Angle 4=32 degrees

Answer:

The only difference is: If you multiply or divide both sides of an equation by the same negative number, the equation remains the same, but If you multiply or divide both sides of an inequality by the same negative number, the inequality reverses. !!!!!

Step-by-step explanation:

Answer:

[tex] \frac{4.1}{100} \times 714.73 = 29.30 \\ 714.73 - 29.30 = 685.43[/tex]

divide 4.1 with 100percent because per5 is always over 100 them multiply by the amount given

Step-by-step explanation:

subtract 29.30 from 714.30

subtract calculated amount from amount given

get yr final answer

Answer:

[tex]\sf slope: \dfrac{5}{4}[/tex]

[tex]\sf y-intercept: 0[/tex]

explanation:

comparing with the formula: y = mx + b  

Here the input equation: y = 5/4 x + 0

[tex]\hookrightarrow[/tex] m = 5/4 and b = 0

Answer:

y = -1/5x + 6.4

Step-by-step explanation:

Use the point-slope formula.

y-y₁ = m(x -x₁)

so...

y-7 = -1/5(x - (-3))

y = -1/5x+ 32/5

and you need you can change 32/5 to 6.4

Hope this helps!

The value of x can be found by using the formula for the area of a trapezoid. The value of [tex]$x$[/tex] is [tex]$4$[/tex] inches.

Area is a two-dimensional measurement that is used to measure the size of a shape or surface. It is measured in square units, such as square centimeters, square meters, square kilometers, and so on. The formula for the area of a trapezoid is: [tex](a+b)/2 *h[/tex], where a and b are the lengths of the parallel sides, and h is the height. Mrs. Katz needs to calculate the value of x by plugging in the lengths of the parallel sides and the height into the formula.

We know that the opposite sides of a trapezoid are parallel, so we have [tex]AB \parallel DC.[/tex]

Using the given information, we can set up an equation in terms of [tex]$x$[/tex] and solve for it. We know that the height of the trapezoid is [tex]$8$[/tex] inches, and we know that the bases are [tex]$x$[/tex] inches and [tex]$16$[/tex] inches.

Using the formula for the area of a trapezoid, we have:

[tex]\text{Area} = \frac{1}{2}(AB+DC)(\text{height})[/tex]

Plugging in the values we know, we get:

[tex]\text{Area} = \frac{1}{2}(x+16)(8)[/tex]

We are also given that the area of the trapezoid is [tex]$100$[/tex] square inches, so we can set up an equation:

[tex]100 = \frac{1}{2}(x+16)(8)[/tex]

Simplifying and solving for [tex]$x$[/tex], we get:

[tex]100 &= \frac{1}{2}(x+16)(8)\20 &= (x+16)\x &= 4[/tex]

Therefore, the value of [tex]$x$[/tex] is [tex]$4$[/tex] inches.

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