Solve the system of equations algebraically.
5g+4k=10
-3g-5k=7

Answers

Answer 1
you want to find a common value which will be 15g
3(5g+4k=10)
5(-3g-5k=7)

15g+12k=30
-15g-25k=35
cross out the g and add the rest
-13k=36
k=-5
Then substitute -5 as k into the original equation
5g+4(-5)=10
5g-20=10
5g=30
g=6
So, K=-5 and G=6
Answer 2

Answer:

k = -5

g = 6

Step-by-step explanation

1) First solve for k and plug that into the other equation to solve for g.

5g + 4k = 10

4k = -5g + 10

k = -5/4g + 2.5

2) Plug k into the other equation to solve for g

-3g - 5k = 7

-3g = 5k + 7

-3g = 5(-5/4g + 2.5) + 7         Use the distributive property

-3g = -6.25g + 12.5 + 7        Combine like terms and simplify

-3g = -6.25g + 19.5               Add 6.25g to both sides

3.25g = 19.5                          Divide 3.25 from both sides to find g

g = 6

3) Now we take this g and plug it into the other equation to find k

(we could also just plug it into this equation as well)

5g + 4k = 10

5(6) + 4k = 10

30 + 4k = 10

4k = -20

k = -5.

If we really wanted to doube check this then we could plug the k value into the equation we used to find the g value...

-3(6) - 5(-5) = 7

-18 + 25 = 7

So yes, k = -5 and g = 6.


Related Questions

Select the word or number that correctly completes each sentence.

When simplified completely, the product of a monomial and a monomial is
a monomial.


When simplified completely, the product of a monomial and a binomial is
a trinomial.


When simplified completely, the product of a binomial and a binomial is
a monomial.


Before being simplified completely, the product of a binomial and a trinomial has
terms.

what is the answer to the questions?

Answers

1. always

2. never

3. never

4. 6

When simplified completely, the product of a monomial and a monomial will be a monomial. Then the correct option is A.

What is a polynomial?

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

Let's check all the options, then we have

A.  When simplified completely, the product of a monomial and a monomial is a monomial.

⇒ a × b

⇒ ab

B.  When simplified completely, the product of a monomial and a binomial is a trinomial.

⇒ (a)(b + c)

⇒ ab + ac

C.  When simplified completely, the product of a binomial and a binomial is a monomial.

⇒ (a + b)(c + d)

⇒ ac + ad + bc + bd

D.  Before being simplified completely, the product of a binomial and a trinomial has terms.

⇒ (a + b)(c + d + e)

⇒ ac + ad + ae + bc + bd be

When simplified completely, the product of a monomial and a monomial will be a monomial. Then the correct option is A.

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Find the unit rate. Round your answer to the nearest hundredth.
3500 calories for 6 servings of pie

Answers

3500cals/6 servings

583 1/3 cals per serving.

583 calories per serving.

A football team loses 6 yards on its first play. On the next play, the team gains 3 yards.
Which inequality(ies) compare(s) the yardage values correctly? Select ALL that apply.
0 -6> 3
0 -6<3
0 -6<-3
O 3<6
♡ 3-6
? 3<.6

Answers

Shshhshsxsbsbdbbxbxbfbfbfbdbbdjdjdjdkdd

Create a 5th degree trinomial that has a constant term of 3.

Answers

Answer:

[tex]4x^5\:+\:9x^2\:+\:3[/tex] is a trinomial having three terms, with degree 5 and the constant term '3'.

Step-by-step explanation:

Considering the trinomial

[tex]4x^5\:+\:9x^2\:+\:3[/tex]

As the polynomial contains 3 terms, so it is a trinomial.

As the highest power of the variable 'x' is 5, so the degree of this polynomial is 5.

Any term with no variable is called a constant term. so, 3 is a term with no variable. Therefore, the constant term is 3.

Therefore, [tex]4x^5\:+\:9x^2\:+\:3[/tex] is a trinomial having three terms, with degree 5 and the constant term '3'.

can someone please help me

Answers

Answer

7 or 5 or both

Step-by-step explanation:

so first, you know it has to be 7 or 5 because all the other numbers are already on the chart and it M was that then you would get the same output value. now you figure out the equation. thats all I can help you with because I am dumb but hope you can figure out the equation.

Compare data set A and data set B.
Set A: mean = 79.6, standard deviation = 9.8
Set B: mean = 79.6, standard deviation = 2.3

Answers

Answer:

Set A: mean = 79.6, standard deviation = 9.8

Step-by-step explanation:

Set A has a larger spread of data.

If Set A: mean = 79.6, standard deviation = 9.8 and Set B: mean = 79.6, standard deviation = 2.3 then set A has  larger spread of data compared to set A.

What is Statistics?

Statistics is the study and manipulation of data, including ways to gather, review, analyze, and draw conclusions from data.

Given,

Set A:

mean = 79.6,

standard deviation = 9.8

Set B:

mean = 79.6,

standard deviation = 2.3

As we compare both set A and set B the mean of set A and set B are same whereas set A has more standard deviation than set B.

As Standard deviation is an important measure of spread or dispersion.

if the standard deviation is small, then this tells us that the results are close to the mean, whereas if the standard deviation is large, then the results are more spread out.

Set A has a larger spread of data.

Hence Set A has larger spread of data compared to set A.

To learn more on Statistics click:

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what is the answer?​

Answers

Answer:

(2/5, 26/5)

Step-by-step explanation:

graph them on desmos

The speed of a train increases from 650 km/hr to 800 km/hr in 5 hours. What is its acceleration?

Answers

Answer:

\overline{a} = \frac{v - v_0}{t} = \frac{\Delta v}{\Delta t}

Step-by-step explanation

i do not really understand but use this formula

= average acceleration

v = final velocity

v_0 = starting velocity

t = elapsed time

Mia bought 8 copies of the same book. She spent $32.
What was the cost of one book?

Answers

Answer:

rhe cost of one book was $4. 32/8=4

Step-by-step explanation:

32÷8=4 so mia spent 4 dollars

Find 6,650/35. please help me i tried using calculator but it put 0.19

Answers

Answer:

113

i did it in the caculater and this is what showed.

Answer:

That's odd, the actual answer is 6650 / 35 = 190

Good luck! Hope this helped :)

What is the slope of the line in the graph?

Answers

Answer:

My answer would be y=2x+1

Step-by-step explanation:

Z-5=8 what is the answer

Answers

Answer:

z = 13

hope it helps ;))

(x+2/3)=(2x-4/2)
what is x equal to?

Answers

x + 2/3 = 2x - 4/2
2/3 + 4/2 = 2x - x
2 + 2/3 = x
8/3 = x

I hope this helps!

a softball with a mass of 0.20 kg is thrown with a net force of 80 N. What is the acceleration of the softball as it begins to move to the nearest m/s squared.

Answers

Answer:

divide it

Step-by-step explanation:

Step-by-step explanation:

Mass of Ball- 0.20KG

Force applied-80N

F= m×a

M=f÷a

M= 80÷0.20

Answwer= 400 m/s(sq)

f (x) = 2x3 + x2 - 7x + 1 has

Answers

Answer: (x + 2) • (x - 1) • (2x - 3)

Step-by-step explanation:

CAN SOMEONE HELP ME

Answers

Answer is 4/5
Hope this helped

A firefighter needs to lean a ladder against a wall of a building to reach a window. How far away from the base of the building should he/she place the foot of the ladder? Ladder is 25 feet long, window is 23.8 feet high in the building.

Answers

Answer:

7.7 feet

Step-by-step explanation:

Let the distance from the base of the building to the foot of the ladder be represented by x. Ladder is 25 feet long, while window is 23.8 feet high.

The length of the ladder, the height of the window and the distance from base of building to foot of ladder describes a right angled triangle.

Thus, applying the Pythagoras theorem;

[tex](25)^{2}[/tex] = [tex](23.8)^{2}[/tex] + [tex]x^{2}[/tex]

625 = 566.44 + [tex]x^{2}[/tex]

625 - 566.44 = [tex]x^{2}[/tex]

58.56 = [tex]x^{2}[/tex]

⇒ x = [tex]\sqrt{58.56}[/tex]

      = 7.653

The foot of the ladder should be placed 7.7 feet away from the base of the building.

WHAT IS A TAPE DIAGRAM AND WHAT DOES IT LOOK LIKE?

Answers

Answer:

A rectangular visual model resembling a piece of tape with divisions used to assist mathematical calculations. Also known as a divided bar model, fraction strip, length model or strip diagram. In mathematics education, it is used to solve word problems.

Step-by-step explanation:

Answer:

Tape diagrams are visual models that use rectangles to represent the parts of a ratio.

Here's what it looks like

How far 75% of 2000 km trip

Answers

Answer:

1,500

Step-by-step explanation:

Hope I helped

The lines below are parallel. If the solid line has a slope of 1, what is the
slope of the dashed line?

Answers

Answer:

The lines below are parallel. If the slope of the solid line is –3

Step-by-step explanation:

help me please, thx​

Answers

90 degrees clockwise

Answer:

C.

F.

   Please mark brainliest hit the crown thanks :)

A slug travels 3 centimeters in 3 minutes. A snail travels 6 centimeters in 6 minutes. Both travel at constant speeds. Mai says, “The snail was traveling faster because it went a greater distance.” Do you agree with Mai's reasoning

Answers

Answer:

No

Step-by-step explanation:

If you find the rate, they are the same.

3 minutes/3= 1 minute

3cm/3= 1 cm

Slug= 1 cm per minute

6 minutes/6= 1 minute

6cm/6= 1 cm

Snail= 1 cm per minute

Find each unit rate. Determine which is lower. Drag and drop the correct rate or letter into each of the boxes to complete the sentences. Ingredient C: 1/5 cup for 3/4 serving or Ingredient D: 1/4 cup for 4/5 serving.

Answers

Answer:

4/15 < 5/16

Ingredient C < Ingredient D

Hence ingredient C has a lower cup per serving than ingredient D

Step-by-step explanation:

Given the unit rates :

C: 1/5 cup for 3/4 serving or Ingredient

D: 1/4 cup for 4/5 serving

C : 1/5 cup for 3/4 serving

1/5 ÷ 3/4

1/5 * 4/3

= 4 / 15

= 0.2667

D: 1/4 cup for 4/5 serving

1/4 ÷ 4/5

1/4 * 5/4

= 5 / 16

= 0.3125

5/16 > 4/15 ;

Ingredient C < Ingredient D

Hence ingredient C has a lower cup per serving than ingredient D

What is 8.89 × 1010 in standard notation?

Answers

Answer:

8978.9

Step-by-step explanation:

MULTIPLY THE THE GIVEN AND

8.89  ×  1010 = 8978.9

THEN THE RESULT WOUD BE THE STANDARD NOTATION.

Write an equivalent multiplication expression. Then, find the quotient in its simplest form. Use a model to support your response. 1 4 ÷ 2 and 2 3 ÷ 6

Answers

Step-by-step explanation:

Let the integers be a, b and c. To model the expression generally;

[tex]\dfrac{a}{b} \div c = \dfrac{a}{b} \times \dfrac{1}{c}\\= \dfrac{a}{bc}[/tex]

Using the model to solve the following expression given

a)  [tex]\dfrac{1}{4} \div 2[/tex]

[tex]= \dfrac{1}{4} \times \dfrac{1}{2}\\= \dfrac{1}{4*2}\\= \dfrac{1}{8}[/tex]

b)

[tex]= \frac{2}{3} \div 6 \\= \dfrac{2}{3} \times \dfrac{1}{6}\\= \dfrac{2}{3*6}\\\\= \dfrac{2}{18}\\= \dfrac{2}{9}[/tex]

Help please! Thanks!

Answers

Answer:

50

Step-by-step explanation:

120 +angle1 = 180  angle 1 is 60   70+60+angle2 should be equals 180 so 2 is 50 degree

1 is 60 degree 3 is 80 degree 4 is 100 degree 2 is 50 degree

60+40 +angle3 = 180 angle3 is 80  

3+4 should be equal 180 3 is 80 180-80= 100 4 is 100

Write an algebraic equation that models the following statement.

Twice the sum of 'x' and '4' is six less than the quotient of 'q' and '9'.

Answers

2(x +4)-6(q/9)

The slash represents a division sign.

Given m|n, find the value of x.

(8x+6) (9x-30)

Answers

Step-by-step explanation:

(8x+6) (9x-30)

=72x²-240x+54x-180

=72x²-186-180

Answer:

(8x+6) (9x-30)

=72x²-240x+54x-180

=72x²-186-180

Step-by-step explanation:

I need 5 lines that have a positive slope

Answers

Answer:

y=5x+3

y=2x-6

y=(2/3)x+8

y=100x-15

y=10x-2990

Step-by-step explanation:

The equation of a line is y=mx+b, where m is the slope and b is the intercept. As long as m is positive and you plug something in for b, it can be used to answer your question.

Will give brainliest if correct

A student has grades​ 84, 91,​ 78, and 74. He will have one more test. If they are all weighted​ equally, what must he earn in order to average at least an 83 for the​ course, so he can earn a​ B?

Enter his minimum test grade. ___

Answers

Answer:

88

Step-by-step explanation:

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