solve systems by substitutions
y=x + 10
y= -6x-18

Answers

Answer 1

x + 10 = - 6x - 18

7x = - 28

x = - 4

and y = - 4 + 10 = - 6


Related Questions

The Great Pyramid at Giza is a square-based pyramid with height 146 meters and a base that measures 230 meters on each side. What is the volume of the pyramid, in cubic meters?

Round your answer to the nearest cubic meter.​

Answers

Answer:

The Volume of the Great pyramid will be "2586810 m³". A further solution is provided below.


Given:

Sides of length,
[tex]s = 230m[/tex]
Height,

[tex]h = 146.7m[/tex]
According to the formula,
The Volume (V) will be:
[tex]= \frac{1}{3} s^{2} h[/tex]
By substituting the values, we get
[tex]= \frac{1}{3} (230)^{2} * 146.7[/tex]
[tex]= \frac{1}{3} *520900 *146.7[/tex]
[tex]=\frac{1}{3} * 7760430[/tex]
[tex]= \frac{7760430}{3}[/tex]
[tex]= 2586810m^{3}[/tex]
Thus the above is the correct solution.

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After eating at the restaurant, Tom, Mary, and
Sara decided to divide the bill evenly. If each
person paid 42 dollars, what was the total of the
bill?

Answers

Answer:

$126

Step-by-step explanation:

since they divided it evenly therefore everyone paid $42 you just times that by the amount of people. there is tom, mary and sara therefore 3. 42*3=126

Answer:

total bill was $126

Step-by-step explanation:

3 people ate: Tom, Mary and Sara
if they split the bill evenly, they would all pay the same amount
if each person paid 42 dollars, you just multiply that amount by the number of people
42 x 3 = 126

Solve for x: 2(x 3)2 − 4 = 0 Round your answer to the nearest hundredth. X = 4. 41, 1. 59 x = 1. 34, 5. 24 x = −1. 34, −5. 24 x = −4. 41, −1. 59.

Answers

The two values when the provided quadratic equation is solved for the x are -4.41 and -1.59 to the nearest hundredth.

What is a quadratic equation?

A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.

The standard form of the quadratic equation is,

[tex]ax^2+bx+c=0[/tex]

Here, (a,b,c) are the real numbers and x is the variable.

To find the value of x, the following formula is used,

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

The given equation is,

[tex]2(x+ 3)^2 - 4 = 0[/tex]

To solve this equation, we need to apply some mathematical operations over it. Let's start with opening the brackets.

[tex]2(x+ 3)^2 - 4 = 0\\2(x^2+6x+9)-4=0\\2x^2+12x+14-4\\2x^2+12x+12=0\\x^2+6x+7=0[/tex]

On comparing with standard equation we get,

[tex]a=1, b=6, c=7[/tex]

Put this values in the above formula,

[tex]x=\dfrac{-(6)\pm\sqrt{(6)^2-4(1)(7)}}{2(1)}\\x=\dfrac{-(6)\pm\sqrt{(6)^2-4(1)(7)}}{2(1)}\\x=-4.41,-1.59[/tex]

Hence, the two values when the provided quadratic equation is solved for the x are -4.41 and -1.59 to the nearest hundredth.

Learn more about the quadratic equation here;

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1. Jennifer can mow the lawn in 20 min. Kristen can mow the lawn in 30 min. If they work together, how long will it take them to mow the lawn

Answers

Answer:

Sam can do the job in 20 min. So he can do the whole job at the rate of 1 job in 20 minutes.

So he does 1/20 of the job per minute.

.

Rob can do the job in 30 min. His rate is 1/30 of the job per minute.

.

Working together how does it take?

.

1/20*x + 1/30*x = 1 job done

, where x = minutes.

.

Step-by-step explanation:

Multiply. What is the product (3 x 10^9) * (2 * 10^17) in scientific
notation?
?
(3 * 10^9) * (2 x 10^17 = ? * 10^?
DONE

Answers

Answer:

[tex]\boxed{6}\times 10^{\boxed{26}}[/tex]

Step-by-step explanation:

[tex](3 \times {10}^{9} ) \times (2 \times {10}^{17} ) \\ \\ = (3 \times 2) \times ( {10}^{9} \times {10}^{17}) \\ \\ = 6 \times {10}^{9 + 17} \\ \\ = \huge \boxed{ 6} \times {10}^{ \boxed{26}} [/tex]

An account with $300 gains 0. 5% annual interest compounded continuously. How

many years would it take to reach $600? Round to the nearest whole year and type

your answer into the box.

Formula: A=

Pert

Answers

Answer:

139

Step-by-step explanation:

A = Pe^rt

A = 600$

P = 300$

R = 0.005

T = ?

600 = 300e^(0.005)(t)

t = 138.63

What is the solution to the equation startfraction m over m 4 endfraction startfraction 4 over 4 minus m endfraction = startfraction m squared over m squared minus 16 endfraction? m = –4 m = –2 m = 2 m = 4

Answers

The value of them after solving the equation will be m=-2

What will be the value of m?

The given  equation will be

[tex]\dfrac{m}{m+4} + \dfrac{4}{4-m} =\dfrac{m^2}{m^2-16}[/tex]

multiply both sides by  [tex](m+4)(m-4)[/tex]

[tex](m+4)(m-4) (\dfrac{m}{m+4} + \dfrac{4}{4-m} )=(m+4)(m-4) \dfrac{m^2}{m^2-16}[/tex]

[tex]m(m-4)-4(m+4)=m^2[/tex]

[tex]m^2-4m-4m-16=m^2[/tex]

[tex]8m=-16[/tex]

[tex]m=-2[/tex]

Thus the value of them after solving the equation will be m=-2

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Answer:

b

Step-by-step explanation:

edge

Ethan drove the first half of his trip's distance at an average rate of 60 miles per hour, and the second half at an average
rate of 70 miles per hour. What was Ethan's average speed for the entire trip, in miles per hour?

Answers

Answer:

Simple

65 miles per hour on average

Step-by-step explanation:

You add 60 to 70 and then you divide them by 2

Which is

60 + 70 = 130

130 ÷ 2 = 65

The average speed Ethan will be 65 miles per hour on average.

What is speed?

The speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.

That Ethan drove the first half of his trip's distance at an average rate of 60 miles per hour, and the second half at an average rate of 70 miles per hour.

The average speed will be calculated as,

60 + 70 = 130

130 ÷ 2 = 65 miles per hour

Therefore, the average speed Ethan will be 65 miles per hour on average.

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#SPJ2

What is the Greatest Common Factor for 39 and 57?

Answers

Answer:

3

Step-by-step explanation:

As you can see when you list out the factors of each number, 3 is the greatest number that 39 and 57 divides into.

Victor is working on a project and has cut a number of wooden blocks of equal size that are represented by this right rectangular prism. He now needs to cover the wooden blocks on all sides with a red fabric.

How much fabric does Victor need in order to cover 12 of these blocks?


156 cm²

24 cm²

13 cm²

2 cm²

Answers

Answer:

  (a)  156 cm²

Step-by-step explanation:

The total surface area of the 12 blocks can be computed by first finding the surface area of one block. That result can then be multiplied by 12. The area of one rectangular prism is given by the formula ...

  A = 2(LW +H(L +W))

  A = 2(4·1 +1/2(4+1)) = 2(4 +5/2) = 13 . . . cm²

The area of 12 such prisms will be ...

  12 × (13 cm²) = 156 cm²

Victor needs 156 cm² of fabric to cover 12 blocks.

_____

Additional comment

This problem offers an opportunity to exercise your number sense. The area of the largest surface of one block is (4 cm)×(1 cm) = 4 cm². 12 of these surfaces will have an area of 48 cm². This is only part of the total area, so the only reasonable choice among those offered is 156 cm².

Answer:

156 cm² for K12

¿Cuáles son los términos algebraicos que representan a una función cuadrática incompleta
con solamente término cuadrático?

Answers

Una ecuación cuadratica que solo tiene el termino cuadratico se escribe como:

y = a*x^2

¿Como escribir esta ecuación cuadratica?

La ecuación cuadratica general se escribe como:

y = a*x^2 + b*x + c

Donde el termino cuadratico es el primero, el segundo es el lineal y el tercero es el constante.

Entonces, si queremos una ecuación cuadratica que solo tenga el termino cuadratico, la ecuación sera:

y = a*x^2

Sí quieres aprender más sobre cuadraticas, puedes leer:

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Can someone help me please and thank you! :))))​

Answers

Original price = $7200

But he bought it for 65%

So it is just 65% of $7200

0.65 * $7200 = $4680

If a 45-45-90° triangle's leg has a length of 18 units, what is the length of the hypotenuse?

Answers

Answer:

25.45584...

Step-by-step explanation:

The length of the hypotenuse can be found using the pythagorean theorem: [tex]a^{2} +b^{2} =c^{2}[/tex] So in this situation, the solution can be found by solving [tex]\sqrt{2(18)^{2} }[/tex]

What does Mean median and mode mean?

Answers

Answer:

mean-average of a data set

mode-most common number in a set

median-middle number of the set

Step-by-step explanation:

you can ask me a question for more info

Answer:

Step-by-step explanation:

Mean - Is the average taken for a set of numbers

Median - The middle value in a data set of numbers

Mode - The number that occurs the most in a given list of numbers.

A plastic alphabet cube is 7 cm on each side. What is the surface area of the cube?

Answers

Answer:

In a cube, the length and width are the same, so both sides will be 7 cm, yielding an area of 49 square centimeters.

Step-by-step explanation:

Answer:

Cube's features;

6 sides to a cubeAll side lengths are equal, so all areas are the same

Given this information, we must find the area of one side and multiply that area by 6 since there are 6 equal sides of the same area.

Formula for area of square:-

A = a^2

or

A = a · a

Where 'a' represents the length of one side.

Plug in values;

A = a^2

A = 7^2

A = 49 centimetres is the area of one side.

Now we find the areas of all sides (6 sides in total);

49(6)

= 294 is the surface area of the cube.

A husband and wife are building a tiny house for a vacation getaway, and they want to measure the height of the roof of the house to see if they will be able to have a bedroom on the second floor. One side of the house is 18 ft long and the slant height of the roof along this side is 13 ft. The point on the roof's peak is above the center of the house. What is the height of the roof of the house? Round your answer to the nearest hundredth. Question 4 options: 9.38 ft 11.28 ft 15.21 ft 9.4

Answers

By using a right triangle as a model, we will see that height of the roof is 9.38 ft.

What is the height of the roof of the house?

The slant height is equivalent to the hypotenuse of a right triangle, so we know the length of the base and the hypotenuse of a right triangle. The cathetus will be half of 18ft

We need to find the other cathetus, so we can use the Pythagorean theorem, if X is the other cathetus we will get:

X^2 + (9ft)^2 = (13 ft)^2

X = √( (13 ft)^2 - (9 ft)^2) = 9.38ft

So the height of the roof is 9.38 ft.

If you want to learn more about right triangles, you can read:

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What is the outlier in the data set shown below?


A. 6
B. 36
C. 40
D. 46
Where do rivers usually begin?

Answers

The outlier is 6. This is because it is the greatest distance from the other options.

Rivers always begin at a source which usually is a watershed or an area of higher elevation, but can also be somewhere else.

What is the area of the following circle?

Answers

Answer:

Step-by-step explanation: A= π r²

π=3.14

4x4 = 16

so 3.14 x 16 =50.24

What is the slope of the line that passes through the points (9, 2) and (9,27)? write your answer in simplest form.

Answers

Solution :-

[tex]\textsf{The slope of a line passing through two}[/tex]

[tex]\sf{given \: points \:(x_1,y_1) \:and \:(x_2,y_2) \: is \:given \: by - }[/tex]

[tex]\green{ \underline { \boxed{ \sf{ Slope, =\frac{y_2-y_1}{x_2-x_1}}}}} [/tex]

Here,

[tex]\sf{x_1= 9}[/tex][tex]\sf{y_1=2}[/tex][tex]\sf{x_2=9}[/tex][tex]\sf{y_2= 27}[/tex]

Putting Values:-

[tex]\begin{gathered}\begin{gathered}\\\implies\quad \bf Slope =\frac{27-2}{9-9} \\\end{gathered} \end{gathered} [/tex]

[tex]\begin{gathered}\begin{gathered}\\\implies\quad \bf \frac{25}{0}\quad(not\: defined) \\\end{gathered} \end{gathered}[/tex]

>>The slope of the line that passes through the given points is not defined.

Note- We can conclude that if x-coordinate of the points through which line passes are same , then slope is always not defined .

The number 175 is 25% of what number?

Answers

Answer: 700

Step-by-step explanation:

175 * 4 = 700

Answer:

700

Step-by-step explanation:

To solve this problem you multiply 175 by 100 and then divide the total by 25 as follows: (175 x 100) / 25

When we put that into our calculator, we get the following answer:

700

if A = (0,0) and B = (8,2), what is the length of AB

Answers

Answer:

Hope the picture will help you

yeah help me okay thanks

Answers

Answer:

4

3

Step-by-step explanation:

1. Find the total area. Round to the nearest hundredth.

Answers

Answer:

1052.39 cm2

Step-by-step explanation:

too lazy to type all that

1) find the radius of the half circle using pythagorus. (34-16=18, √30^2-18^2 = 24 = diameter. radius = 12)

2) find the area of the cirlcle then divide by 2 youll get the area of the half circle

3) find the area of the other thing (i forgot its name) using

1/2×24×(16+34) = 600

then add them up

PLEASE HELP AS I SAID I HAVE A F IN MATH AND I HAVE LIKE 6 OTHER SI TO DO PLEASE ANSWER ALL OF THEM

The prism below is made of cubes which measure of a foot on one side. What is the volume?


Note: Figure is not drawn to scale.
A.


B.


C.


D.

Answers

Answer:  32

Step-by-step explanation:   count one row and then multiply that by 4 And then it equals 32

Find the value of X for these twi

Answers

Answer:

11: x=60   12:x=27

Step-by-step explanation:

For the first one, we know that all triangle angles add up to 180, so we take 180 and divide by 3 to get each of the angles and we get 60. For the second one, like I said earlier, all triangles add up to 180 so you add all the angles together and make them equal 180. You simplify and you get x=27

(also i changed my answer because I double checked it and it was wrong

16 more than craigs score is 62

Answers

Step-by-step explanation:

what is the question ?

to find Craig's score ?

if that is the case :

Craig's score = 62 - 16 = 46

What would be the formula if the farm agency could only use the letters A, B, C, and blank spaces?

Answers

The formula of the farm agency illustrates a geometric progression

The formula the farm agency could use is y = 3^n

How to determine the formula?

The number of characters is given as:

n(A,B,C) = 3

Represent the number of tags to create with y.

So, we have:

y = 3×3×3×3×..........×3( in n places)

Express as exponent

y = 3^n

Hence, the formula the farm agency could use is y = 3^n

Read more about formulas at:

https://brainly.com/question/2500080

Answer: y=4^n

Step-by-step explanation: I got the question right and this was the answer, I believe its because the company uses A,B,C and blank spaces so that adds one.

find the area of a triangle 4cm height 6cm base

Answers

Answer:

12cm²

Step-by-step explanation:

Area of triangle =1/2×h×b

1/2×4×6

2×6

12cm²

hope dis helps!!!!!


A. 197 cm
B. 158 cm
C. 155 cm
D. 55 cm

Answers

Answer:

158

Step-by-step explanation:

The Formula for Area is: A = L * W

First lets start with the rechtangle:

A = L * W

A = 17 * 7 = 119

the area of the rechtangle is 119

Now the triangle the formula is a little diffrent but it is the same concept

A=hbb (Picture below, it wont let me write it out right)

2=6·13

2=39

The area of the triangle is 39

Now add the both areas

119 + 39 =

158

Please help me with my home work
2.334567890 x 3.04576879 =

Answers

If you enter this into a calculator you should get 7.110554017498153
Hope this helps
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