Using the linear combination method, what is the solution to the system of linear equations 7 x minus 2 y = negative 20 and 9 x + 4 y = negative 6? (–3, 2) (–2, 3) (2, –3) (3, –2)

Answers

Answer 1

Answer:

(-2, 3)

Step-by-step explanation:

(7x-2y= -20)2

9x+4y-6

14x-4y=-40

9x+4y-6

23x= -46

x= -2

9(-2)+4y= -6

-18+4y= -6

4y= -6+18

4y=12

y=3

so,(-2,3)

Answer 2

Answer:

(-2,3)

Step-by-step explanation:

i took the test


Related Questions

What is the value of x

Answers

Answer:

x=8 cm

Step-by-step explanation:

a + b2 = c2

6 squared  + b = 10 squared

36 + b = 100

b=100-36

b=64 squared = 8

Answer:

The answer is 8.

6 squared plus b is equal to 100 squared, and all you have to do is simplify the equation nd find the square root of the answer.

Please help I will give Brainliest please. Just tell what I need to do or solve I need help ASAP *image*

Answers

Answer:

Step-by-step explanation:

Hard to figure out huh

30 POINTS!!
find 10 rational numbers between -2/3 and 2/3

Answers

Answer:

Hey! Here is your answer. Hope it helps.

If you answer a question put the number of the question in your answer. Thanks

Answers

Answer:

You'll find the answer below each.

Step-by-step explanation:

1-4 you can use this formula: [tex]V=l*h*w[/tex]

1.

[tex]V=l*w*h\\V=(6ft)(4ft)(1ft)\\V=24ft^3[/tex]

2.

[tex]V=l*h*w\\V=(2yd)(\frac{1}{2}yd )(2yd)\\V=2yd^3[/tex]

3.

[tex]V=l*h*w\\V=(12\frac{1}{2}mm)(3mm)(4mm)\\V=150mm^3[/tex]

4.

[tex]V=l*h*w\\V=(2cm)(8.5cm)(2cm)\\V=34cm^3[/tex]

5-7 you need these 2 formulas: [tex]A=\frac{bh}{2}[/tex] and [tex]V=Bh[/tex] or you can use one formula which is: [tex]V=\frac{bh}{2}*h[/tex]

Let me explain. The first formula is for finding the area of the base of the triangle and the second formula is for finding the volume of the prism using the area previously mentioned. The first h is with respect to the triangle and the second h is with respect to the prism.

5.

[tex]V=\frac{bh}{2}*h\\V=\frac{(8in)(6in)}{2}* 18in\\V=\frac{48in^2}{2}*18in\\ V=48in^2*9in\\V=432in^3[/tex]

6.

[tex]V=\frac{bh}{2}*h \\V=\frac{(11m)(5m)}{2}*35m \\V=\frac{55m^2}{2}*35m\\ V=\frac{1925m^3}{2}\\ V=962.50m^3[/tex]

7.

[tex]V=\frac{bh}{2}*h \\V=\frac{(5mm)(8mm)}{2}*12mm\\V=\frac{40mm^2}{2}*12mm\\ V=40mm^2*6mm\\V=240mm^3[/tex]

For the last one, we have a special case.

This formula is a bit odd and long.

[tex]V=\frac{1}{4}h(\sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4}[/tex]

a=8yd

b=15yd

c=17yd

h=11yd

[tex]V=\frac{1}{4}(11yd)(\sqrt{-(8yd)^4+2[(8yd)(15yd))]^2+2[(8yd)(17yd)]^2-(15yd)^4+2[(15yd)(17yd)]^2}[/tex][tex]-(17)^4[/tex]

As you can see this is long. I'll just jump to the answer.

Answer: [tex]660yd^3[/tex]

Answer:

He is correct

Step-by-step explanation:

What two numbers have a sum of 191 and a difference of 63? *Hint: Create a system where one equation represents the sum and one equation represents the difference. ​(smaller number) ​ (bigger number)

Answers

Answer:

127 &64

Step-by-step explanation:

x+y=191 eq(1) & x-y=63 eq(2)

x=63+y then put in the eq(1)

63+y+y=191

2y=191-63

y=64 then put in the eq(2)

x-y=63

x= 63+y

x=63+64

x=127

Answer:

both numbers are 127 and 64

Step-by-step explanation:

x= one of the numbers

191-x= the other number

(191-x)-x=63

191-x-x=63 (combine like terms)

191-2x=63 (rearrange)

191-63-2x (simplify)

128=2x

64=x

(127 +64=191)

(127-64= 63)

What is the slope of the line with the equation:

6x + 2y = 8

Answers

Answer:

Using the slope-intercept form, the slope is 3 .

Step-by-step explanation:

what is the median of this data set? 14,16,18,21,34,60

Answers

Answer:

19.5

Step-by-step explanation:

there are two middle values in this data set so you have to add and divide them. 18+21=39

39/2= 19.5

hope this helps ! :)

Answer:

19.5

Step-by-step explanation:

middle is 18 and 21 so we need to take the average of these  2 numbers

18+21=39

39/2=19.5

Caleb’s puppy weighs 2,250 grams. If the puppy weighed 600 grams at his last visit to the veterinarian’s office, what is the percent increase in the puppy’s weight rounded to the nearest whole number? Enter your answer in the box.

Answers

Answer:

[tex]73\%[/tex]

Step-by-step explanation:

Given: Present weight of Caleb’s puppy = 2,250 grams

Puppy weighed 600 grams at his last visit to the veterinarian’s office.

To find: percent increase in the puppy’s weight rounded to the nearest whole number

Solution:

Increase in puppy's weight = 2250 - 600 = 1650 grams

Percent increase in the puppy’s weight =( Increase in puppy's weight/Present weight of Caleb’s puppy) × 100 = [tex]\frac{1650}{2250}(100)=73.33 \%[/tex]

[tex]73.33\%[/tex] is rounded to [tex]73\%[/tex]

The double number lines show the ratio of cups to gallons.
64
0
Cups 4+
Gallons +
0
4
How many cups are in 3 gallons?
cups

Answers

Answer:

Step-by-step explanation:

The answer is There are 3 gallons

A sphere has a radius of 6. Using 3.14 for pi, what is the volume?

Answers

Answer:

v= 904.78

Step-by-step explanation:

Answer:

904.77868423386 feet^3

Step-by-step explanation:

Step one the formula is 4/3 Pie R ^3

Step two you do 4/3 x PI x 6^3

Step three do exponents first so 6x6x6=216

Step four multiply 4/3 x 3.14 which equals 4.187

Step four finally you are going to multiply 216 by 4.187 to get   904.77868423386 feet^3

Which expression is a difference of squares with a factor of 2x + 5

Answers

[tex]4x^2-25[/tex] is a difference of squares with a factor 2x+5

because when we factorize [tex]4x^2-25[/tex] we get [tex](2x-5)(2x+5)[/tex]

The expression is a difference of squares with a factor of 2x + 5 [tex]$4 x^{2}-25$[/tex].

What is the Difference of squares formula?

Given:

2x + 5

To find:

The expression is a difference of squares with a factor of 2x + 5.

Step 1

The difference of squares formula is given by

[tex]$(a+b)(a-b)=a^{2}-b^{2}$$[/tex]

We have been given that one factor is 2x + 5.

Hence, [tex]$\mathbf{a}=\mathbf{2 x}, \mathbf{b}=\mathbf{5}$[/tex]

Step 2

It means that the other factor must be (a - b) = (2x - 5)

Hence, in order to expression, we can multiply the factors.

(2x + 5)(2x - 5)

Step 3

Using the difference of squares formula

(2x + 5)(2x - 5)

[tex]$&=(2 x)^{2}-5^{2} \\[/tex]

[tex]$&4 x^{2}-25[/tex]

The required expression exists [tex]$4 x^{2}-25$[/tex].

Therefore, the correct answer is [tex]$4 x^{2}-25$[/tex].

To learn more about difference of squares formula

https://brainly.com/question/1973152

#SPJ1

If f(x) = -2x + 3 and g(x) = 2x + 3; solve for f(3) + g(7)

Answers

Answer:

You just add the 2 equations together and fill in the 3 into the x where the f(x) equation is located and 7 into the x where the g(x) equation is located. I hope this helps. Have a great rest if your day!

6th GRADE MATH:
Noah bought 2.5 kilograms of colored tile chips for a mosaic art project. What is the mass of the chips in grams?

Answers

2,500

Kilo means a thousand so you multiply the 2.5 by 1,000

Answer:

2500 grams

Step-by-step explanation:

to go from kilogram to grams, u should multiply the kilograms by  1000 to get the grams

The diagram shows a regular pentagon, ABCDE, a regular octagon, ABFGHIJK, and an isosceles triangle, BCF. Work out the angle x

Answers

Answer:

x is 31.5°

Step-by-step explanation:

Here, we have each interior angle of a regular octagon = 135°

Each interior angle of a regular pentagon = 108°

Therefore, 135° + 108° + ∡B = 360°

Hence, ∡B = 360° - (135° + 108°) = 117°

Since, AB = BC = BF ( sides of a regular polygons (octagon and pentagon))

Hence, ΔCBF is an isosceles triangle and ∡x = ∡CFB  from which we have;

∡x + ∡CFB + 117° = 180°

∴  ∡x + ∡CFB = 180° - 117° = 63°

Hence, ∡x = 63° - ∡CFB = 63° - ∡x which gives

2·∡x = 63°

Hence, ∡x = 63°/2 = 31.5°

∡x = 31.5°.

Find the slope and the y-intercept, then write the equation for the line in slope intercept form ?

Answers

Answer:

Slope: 1/3

Y-Intercept: (0,7)

Equation: y = 1/3x + 7

Step-by-step explanation:

If you find a point on the line, you can find the slope by counting the distance from the y-intercept.

x y 3 12 5 20 6 24 8 32 The table shows a proportional relationship between x and y. What is the unit rate of y per x? A) 1 B) 2 C) 3 D) 4

Answers

Answer:

D.6

Step-by-step explanation:

Answer:d)4

Step-by-step explanation:

I need someone to answer this as fast as possible

Answers

Answer:

4/8+1/8=5/8

Step-by-step explanation:

Answer:

4/8 + 1/8 = 5/8

Step-by-step explanation:

To be able to add these two fractions, we first need to get a common base. So we can multiply 1/2 by 4 so its base will be 8. When we multiply one part of the fraction, we also need to multiply the top so 4 times 1 equals 4. So 1/2 is changed to 4/8, which we can add to 1/8 and then we get 5/8!

The observed rabbit population on an island is given by the function p(t) =-4t^2+80t+1200, where t is the time, in years, since the teachers began observing the rabbits. According to this quadratic function, after how many years will the rabbit population reach its peak

Answers

Answer:

The rabbit population will reach its peak after 10 years.

Step-by-step explanation:

Suppose we have a quadratic function in the following format:

[tex]p(t) = at^{2} + bt + c[/tex]

The vertex of the function is the point:

[tex](t_{v}, p(t_{v})[/tex]

In which

[tex]t_{v} = -\frac{b}{2a}[/tex]

If a is negative, the vertex is a peak.

In this question:

[tex]p(t) = -4t^{2} + 80t + 1200[/tex]

So

[tex]a = -4, b = 80, c = 1200[/tex]

According to this quadratic function, after how many years will the rabbit population reach its peak

This is [tex]t_{v}[/tex]

[tex]t_{v} = -\frac{b}{2a} = -\frac{80}{2*(-4)} = 10[/tex]

The rabbit population will reach its peak after 10 years.

help me fill this out thanks

Answers

Answer:

multiply

Step-by-step explanation:

Answer:

[tex]c = 4 \sqrt{3} [/tex]

[tex] \\ [/tex]

Step-by-step explanation:

[tex] \frac{4 \sqrt{3} }{ \sin(60) } = \frac{c}{ \sin(30) } \\ \frac{4 \sqrt{3} }{ \frac{1}{2} \sqrt{3} } = \frac{c}{ \frac{1}{2} } \\ c = \frac{4 \sqrt{3} \times \frac{1}{2} }{ \frac{1}{2} \sqrt{3} } \\ c = \frac{2 \sqrt{3} }{ \frac{1}{2} \sqrt{3} } \\ c = 4\sqrt{3} [/tex]

Please help me it’s really important to me

Answers

1. b
2. e
3. a
4. c
5. d
6. f
7. g
8. h
hope this helps there is really no way of explaining you would have to study you theorems

which one would you choose and please explain why

Answers

I’d choose the larger down payment because then you know that you’re going to get your car more quickly paid off and more efficiently
larger down payment so the monthly fees aren’t as much

I need this done please help in the picture

Answers

Answer

7.85

but I not sure JutMon21 know the problem

Answer:

I got 7.85

Step-by-step explanation:

First, I took the center angle which is 90 degrees in this case and divided by 360 and I got 0.25 Then, I multiplied that number by the radius which is 5 and I got 1.25. After that I multiplied 1.25 with 2π and the final answer that I got is 7.85

Alexa has 2 hours of reading to complete over the weekend. She wants to break up her reading time into 1/2 hour blocks. How many times will she read over the weekend?

Answers

All we need to do is divide the amount of hours she needs to read by the time she wants to read each time.

1/2 = 0.5

Divide.

2 / 0.5 = 4

Therefore, Alexa will read 4 times over the weekend.

Best of Luck!

Answer:

4 times

Step-by-step explanation:

1 / 2 = 0.5

2 / 0.5 = 4

What is the area of this composite figure?

Answers

The area is 24 u add up all the sides

Answer:

80

Step-by-step explanation:

-4x-y=24
Whats the missing value in the solution to the equation.
(__,8)

Answers

Answer: -8

Step-by-step explanation: First, substitute 8 for y and then solve the remainder of the problem.

                                             -4x - 8 = 24

                                             -4x - 8 + 8 = 24 + 8

                                             -4x = 32

                                             -4x/-4 = 32/-4

                                              x = -8

                                           

                                             

Tonya sells make-up part-time. She is paid a monthly commission. She receives 18% for the first $500 she sells and 22% for the balance. She made $356.42 in commission. How much did she sell in make-up?

Answers

Answer:

She sold $1,711 in make-up.

Step-by-step explanation:

She sold x.

For the first $500, she gets 18% = 0.18.

For the balance(x - 500), she gets 22% = 0.22.

So her total earnings can be modeled by the following equation:

[tex]E = 0.18*500 + 0.22*(x - 500)[/tex]

[tex]E = 90 + 0.22*(x - 500)[/tex]

She made $356.42 in commission. How much did she sell in make-up?

So

[tex]356.42 = 90 + 0.22*(x - 500)[/tex]

[tex]90 + 0.22x - 110 = 356.42[/tex]

[tex]0.22x = 356.42 + 20[/tex]

[tex]x = \frac{376.42}{0.22}[/tex]

[tex]x = 1711[/tex]

She sold $1,711 in make-up.

If two pyramids have the same heights what must be true of the pyramids for them to also have the same volume

Answers

Answer:

It is possible, but you must first measure the width.

Step-by-step explanation:

It is possible, but you must be sure.

Answer:

they whould need diffrent width and length

Step-by-step explanation:

imagen you have 2 glasses of watter, and they are both 6 inches high. But one glass has a longer width (aka how far backwords). Wich could hold more watter

A Wallace's giant bee is 1 1/2 inches long. If this bee is four times longer than a worker bee, how
long is the worker bee?
3/8 in.
1/3 in.
1/8 in.
3/10 in.

Answers

Answer:

3/8 in.

Step-by-step explanation:

If the giant bee is four times longer than a worker bee, you'd divide the giant bee's length by 4 to get the worker bee's length. 1.5 ÷4=0.375. 0.375 is equivalent to 3/8. So 3/8 in.

Find the mean of the numbers below.
5, 10, 15, 20, 1, 2, 2, 1

Answers

Answer:

7

Step-by-step explanation:

used a calculator

What is the volume of the sphere?

Answers

Answer:

V = 523.5987756 Cubic in.

Step-by-step explanation:

The equation for the volume of a sphere is V = 4 * π * (r^3 / 3)

In this case: V = 4 * π * (41.6667)

                    V = 4 * 130.8996939

                    V = 523.5987756 cubic inches.

Hope this helps =)

Answer: C

Step-by-step explanation:

5 is the diameter so 2.5 has to be the radius.

The volume of sphere is  v=4/3* π *r^3

v= 4/3 * 3.14 * 2.5^3

v= 65.4

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Carl surveyed his classmates about their favorite colors. The graph shows the survey results. A circle graph titled Favorite Colors. 50 percent is blue, 25 percent is orange, 25 percent is green. Which statements about the circle graph are correct? Check all that apply. 25% of the students said blue was their favorite color. 33% of the students said green was their favorite color. 25% of the students said orange was their favorite color. 50% of the students said either green or orange was their favorite color. 66% of the students said either orange or blue was their favorite color. Name the four way medicines enter the body Which of the following are considered early societies in what is now present day United States?AnasaziMississippian Mound BuildersA and BNone of the above Complete the sentences using the words in brackets. You can use verbs in Past Simple, Past Continuous, Past perfect, Past Perfect Continuous, Present Perfect. Write down only verb forms.1. John ___ (send) me an e-mail. 2. Jim_____ (water) flowers when somebody knocked. 3. I felt really stupid because I ____ (make) a lot of mistakes.4. My friends___ (book) a flight to London.5. I told him I didn't know who ____ (steal) his pen.6. She ____ (wear) her new jacket when I saw her.7. They___ (go) to a disco.8. He___ (already/ invite) his classmates. 9. Mr. Brown ____ (have) a shower when I knocked on his door.10. ___ the waiter___ (lay) the table for us yet? 11. What ___ you ___ (do) yesterday evening?12. She was a beautiful woman. She always ____ (attract) a lot of men.13. I ____ (watch) TV when the phone rang.14. Thomas___ (have) an accident.15. You were late! I___ (wait) for twenty minutes yesterday.16. When I went to the car park, I found that someone ___ (break into) my car.17. Kate_____ (play) the piano, when her sister came into the room.18. She left the house after she ____ (finish) breakfast.19. I___ (sit) on the edge of my chair. 20. 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What is the operating cash flow for a sensitivity analysis using total fixed costs of $31,000 Factor the polynomial.216x^3-64 This table shows the area in inches of four rectangular scraps of fabric.What is the median of the sizes of the four scraps of fabric?78 in80 in82 in84 intable:ScrapArea (in) A 84 B 72 C 80 D 84 0.000032 x 10-5=? Expressas a unit rate. Betty drives her car 150 km in 2 h. Explain What is the shape of the cross section of the figure that is perpendicular to the triangular bases and passes through a vertex of the triangular bases?A triangular prism.a parallelogram that is not a rectanglea rectanglea triangle that must have the same dimensions as the basesa triangle that may not have the same dimensions as the bases A bag contains 1 yellow, 2 blue, 4 green, and 3 red marbles. A marble is drawn and replaced. Then asecond marble is drawn.Part AWhat is P (blue, then blue)?Part BWhat is P (green, then red)?