a+4b=-4 a+10b=-16
how to solve this problem ​

Answers

Answer 1

Answer:

a = 4

b = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Equality PropertiesSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

a + 4b = -4

a + 10b = -16

Step 2: Rewrite Systems

a + 4b = -4

Subtract 4b on both sides:          a = -4 - 4b

Step 3: Redefine Systems

a = -4 - 4b

a + 10b = -16

Step 4: Solve for b

Substitution

Substitute in a:                    -4 - 4b + 10b = -16Combine like terms:            -4 + 6b = -16Isolate b term:                     6b = -12Isolate b:                              b = -2

Step 5: Solve for a

Define equation:                    a + 4b = -4Substitute in b:                       a + 4(-2) = -4Multiply:                                  a - 8 = -4Isolate a:                                 a = 4

Related Questions

Anastasia is grocery shopping list is 60% done and she only has 12 items, how many items does she have on the list?

Answers

Answer:

She has 20 items on the list

Step-by-step explanation:

Answer:

if she is 60% done shopping and has a total of 12 items, then the list will have 8 items left or 20 in total.

9/12 +3/12 =?
A. 1
B. 6/12
C. 11/12
D.1/2

Answers

9/12 + 3/12 = 12/12 = 1

Therefore, 1 is your answer.

Answer:

Solving [tex]\frac{9}{12}+\frac{3}{12}[/tex] we get 1.

Option A is correct answer.

Step-by-step explanation:

We need to solve [tex]\frac{9}{12}+\frac{3}{12}[/tex]

For solving fractions we need to take LCM of denominators.

The LCM of 12, 12 is 12

So, solving:

[tex]\frac{9}{12}+\frac{3}{12}\\=\frac{9*1+3*1}{12}\\=\frac{9+3}{12}\\=\frac{12}{12}\\=1[/tex]

So, solving [tex]\frac{9}{12}+\frac{3}{12}[/tex] we get 1.

Option A is correct answer.

please solve:
2(X+3)=8-3(x-4)
x-3(x-2)=3(2-x)
question from equation and inequality.​

Answers

Answer:

i) x = 2.8

ii) x = 2

Gabriella is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror car
be modeled by a parabola that opens upward with a diameter of 4 in. and a depth of 1 in. Where should she place the
bulb to ensure a perfect beam of light?
(0
1)
(0, 4)
(1, 0)
(4, 0)

Answers

Answer:

Step-by-step explanation:

0,1

The bulb should be placed at (1,0).

What is Parabola?

Any point on a parabola is at an equal distance from both the focus, a fixed point, and the directrix, a fixed straight line. A parabola is a U-shaped plane curve. The topic of conic sections includes parabola, and all of its principles are discussed here.

Given:

Suppose the equation of parabolic mirror is y² = 4ax.

The given data in the  is x = 1 and y = 2

So, the value is y² = 4ax

4 = 4 a (1)

a = 1

So  x = 1

and, the focus is at  (x, y) is (1,0).

Learn more about parabola here:

brainly.in/question/13828215

#SPJ7

Who ever Answers first gets a good review

Answers

Answer:

Do we do all of them???

Step-by-step explanation:

In a flower basket, the ratio of red roses to white roses is 2 to 3. There are a total of 20 roses in the basket. How many red roses are in the basket?

Answers

Answer: 8 red roses are in the basket.
Explanation:
ratio is 2:3
let’s say red roses are 2x and white roses are 3x.
The total number of roses is 20, then, to find the number of red roses, write:
2x+3x= 20
5x=20
x=4
red roses are 2x
x=4,
hence, put 4 instead of x, and you will get 2*4= 8
Hope it helps!!!
If it does, then give click the brainliest button! thanks in advance!

what is the slope in the equations: y = 4x + 3

Answers

Using the slope-intercept form, the slope is 4

Answer:

4

Step-by-step explanation:

y = mx + b

m represents the slope, and as we can see in the equation, the number 4 is there instead of m, so therefore 4 is the slope

Which of the following is equal to 7 1/4

Answers

Answer:

D. [tex]\sqrt[4]{7}[/tex]

Step-by-step explanation:

Answer:

d.

Step-by-step explanation:

hey um, so i’m learning ab percentages in my math class so can someone please explain to me how to solve percent problems if that’s ok? thank you.

Answers

Answer:

It's pretty simple. For example, if it says there is a percentage increase on something like there is a jacket for $25 and there was a 15% increase, you multiply 25 by 1.15 to see what the new price is. But say if the same $25 jacket is on sale for 15%, then you can multiply 25 by .15, then subtract that from 25 or originally subtract the 15% from 100 which is 85 and multiply 25x.85 and get the answer directly.

Hope this helps! But this would be easier to explain with an example

will give brainliest-----------

Answers

Answer: C

Step-by-step explanation:

1.25 + (- 0.75) is equal to 1.25 - 0.75.

1.25 is positive while - 0.75 is negative. So 1.25 is head toward the right while - 0.75 is head toward the left.

And when you substract them, you will get 0.5.  

So the answer is C.

Stephanie spends $15 each month to belong to a photography club. As a member of the club she can develop rolls of film for $2.50 each. Write and solve an equation to find the total amount Stephanie will spend this month if she develops 5 rolls of film.

Answers

Answer:

2.5*5= 12.5

15-12.5=2.5

So in order to pay the 15 dollars in the photography club, she only has to pay 2.50

6. 1350 = 5 = find the quotient ​

Answers

Answer:

this question is of high school or collage

At time t ≥ 0, the velocity of a body moving along the s-axis is v = t² -5t +4. When is the body moving backwards

Check comments for multiple choice answers

Answers

Answer:

A

Step-by-step explanation:

The velocity of a moving body is given by the equation:

[tex]v=t^2-5t+4 ,\, t\geq0[/tex]

Is the velocity is positive (v>0), then our object will be moving forwards.

And if the velocity is negative (v<0), then our object will be moving backwards.

We want to find between which interval(s) is the object moving backwards. Hence, the second condition. Therefore:

[tex]v<0[/tex]

By substitution:

[tex]t^2-5t+4<0[/tex]

Solve. To do so, we can first solve for t and then test values. By factoring:

[tex](t-4)(t-1)=0[/tex]

Zero Product Property:

[tex]t=1, \text{ and } t=4[/tex]

Now, by testing values for t<1, 1<t<4, and t>4, we see that:

[tex]v(0)=4>0,\, v(2)=-2<0,\,\text{ and } v(5)=4>0[/tex]

So, the (only) interval for which v is <0 is the second interval: 1<t<4.

Hence, our answer is A.

2,704 rounded to the nearest thousand

Answers

Answer:

3000,

Step-by-step explanation:

5 or above round up, 4 and below keep it the same

Allan bought a sweater
for $78 and a shirt for
$29. How much more did
the sweater cost than
the shirt​

Answers

Answer:

$49

Step-by-step explanation:

78 - 29 = 49

To get 49, I subtracted 29 from 78.

Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the height of a man with a z-score of 0.2 (to 2 decimal places)

Answers

Answer:

69.04

Step-by-step explanation:

Given that:

Mean (m) = 69.0

Standard deviation (s) = 2.8

Zscore = 0.2

Find the corresponding height (x) ;

Using the relation :

Zscore = (x - m) / s

0.2 = (x - 69.0) / 0.2

0.04 = x - 69.0

0.04 + 69.0 = x

69.04 = x

Hence, the height of a man with a Zscore of 0.2 is 69.04

Which expressions have an estimated value that is close to 9? Check all that apply. ​

Answers

Answer:

can you post a picture of the question?

Answer:

Hello There!

Step-by-step explanation:

Could you please put the answer choices/expressions? You can just write them in the comment section and I can edit this answer to help you out :)

Happy New Year

Drag and drop each pair of lines into the correct category to indicate whether the pair of lines are parallel, perpendicular, or neither.
1/7x + y = 9; y = -7x
y = 3x - 3; 12x - 4y = 12
7y = 2x + 1; 14x + 4y = 12
x - 4y = 18; y = x + 4
3x - 4y = -1; 3y = -4x + 5
Parallel Perpendicular Neither​

Answers

Answer:

Step-by-step explanation:

(1). [tex]\frac{1}{7}[/tex] x + y = 9 and y = - 7x ( Neither ) ; lines intersect.

(2). y = 3x - 3; 12x - 4y = 12 ( Neither ) ; Lines are overlapped or both equation are of the same line.

(3). 7y = 2x + 1; 14x + 4y = 12 ( Perpendicular ) ; [tex]m_{1}[/tex] = [tex]\frac{2}{7}[/tex] and [tex]m_{2}[/tex] = - [tex]\frac{7}{2}[/tex] , slopes are opposite reciprocals.

(4). x - 4y = 18; y = x + 4 ( Neither ) ; lines intersect.

(5). 3x - 4y = - 1; 3y = - 4x + 5 ( Perpendicular ) ; [tex]m_{1}[/tex] = [tex]\frac{3}{4}[/tex] and [tex]m_{2}[/tex] = - [tex]\frac{4}{3}[/tex] , slopes are opposite reciprocals.

Jamie wants to run 2 3/4 miles today. He has already run 1 1/4 miles. How much farther must he run to reach his goal?

Answers

Working out:
2 3/4 ー 1 1/4 = 1 2/4 = 1 1/2

Answer:
He needs to run 1 1/2 more miles.

Answer:

0 miles

Step-by-step explanation:

Just subtract 11/4 from 2 3/4

2 3/4 - 11/4 = 0

So, he doesn't need to run any more

There are 12 basketball players on the team. In order to complete the main composition of the team for the
game, the coach can choose any 5 players from the team. How many different combinations of the main
compositions the coach can complete?

I get 792 but why is the answer 7.92. Kinda don't understand.

Answers

Step-by-step explanation:

We have been given that a basketball team has 12 players and the coach wants to pick which 5 players will start today's game.

We will use combinations formula to solve our given problem. , where,

n = Number of total items,

r = Number of items being chosen at a time.

Upon substituting our given values in combinations formula we will get,

Therefore, the coach can choose from 792 combinations

Write an Inequality to represent a graph.

Answers

Answer:

nun of the 3 you gave use so the last one the 4th

Step-by-step explanation:


19) Albert says that the two systems of equations shown have the same solutions.
FIRST SYSTEM
6x + y= 2
-x-y=-3
SECOND SYSTEMS
2x-3y = -10
-X-y= -3
A) Agree, because the solutions are the same
B) Agree, because both systems include -x-y= -3
C) Disagree, because the solutions are different
D) Cannot be determined

Answers

Answer:

option A) Agree, because the solutions are the same is correct.

Step-by-step explanation:

FIRST SYSTEM

[tex]6x + y= 2[/tex]

[tex]-x-y=-3[/tex]

solving the system

[tex]\begin{bmatrix}6x+y=2\\ -x-y=-3\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}-x-y=-3\mathrm{\:by\:}6\:\mathrm{:}\:\quad \:-6x-6y=-18[/tex]

[tex]\begin{bmatrix}6x+y=2\\ -6x-6y=-18\end{bmatrix}[/tex]

adding the equation

[tex]-6x-6y=-18[/tex]

[tex]+[/tex]

[tex]\underline{6x+y=2}[/tex]

[tex]-5y=-16[/tex]

so the system becomes

[tex]\begin{bmatrix}6x+y=2\\ -5y=-16\end{bmatrix}[/tex]

solve -5y for y

[tex]-5y=-16[/tex]

Divide both sides by -5

[tex]\frac{-5y}{-5}=\frac{-16}{-5}[/tex]

simplify

[tex]y=\frac{16}{5}[/tex]

[tex]\mathrm{For\:}6x+y=2\mathrm{\:plug\:in\:}y=\frac{16}{5}[/tex]

[tex]6x+\frac{16}{5}=2[/tex]

subtract 16/5 from both sides

[tex]6x+\frac{16}{5}-\frac{16}{5}=2-\frac{16}{5}[/tex]

[tex]6x=-\frac{6}{5}[/tex]

Divide both sides by 6

[tex]\frac{6x}{6}=\frac{-\frac{6}{5}}{6}[/tex]

[tex]x=-\frac{1}{5}[/tex]

Therefore, the solution to the FIRST SYSTEM is:

[tex]x=-\frac{1}{5},\:y=\frac{16}{5}[/tex]

SECOND SYSTEM

[tex]2x-3y = -10[/tex]

[tex]-x-y=-3[/tex]

solving the system

[tex]\begin{bmatrix}2x-3y=-10\\ -x-y=-3\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}-x-y=-3\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x-2y=-6[/tex]

[tex]\begin{bmatrix}2x-3y=-10\\ -2x-2y=-6\end{bmatrix}[/tex]

[tex]-2x-2y=-6[/tex]

[tex]+[/tex]

[tex]\underline{2x-3y=-10}[/tex]

[tex]-5y=-16[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}2x-3y=-10\\ -5y=-16\end{bmatrix}[/tex]

solve -5y for y

[tex]-5y=-16[/tex]

Divide both sides by -5

[tex]\frac{-5y}{-5}=\frac{-16}{-5}[/tex]

Simplify

[tex]y=\frac{16}{5}[/tex]

[tex]\mathrm{For\:}2x-3y=-10\mathrm{\:plug\:in\:}y=\frac{16}{5}[/tex]

[tex]2x-3\cdot \frac{16}{5}=-10[/tex]

[tex]2x=-\frac{2}{5}[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{-\frac{2}{5}}{2}[/tex]

Simplify

[tex]x=-\frac{1}{5}[/tex]

Therefore, the solution to the SECOND SYSTEM is:

[tex]x=-\frac{1}{5},\:y=\frac{16}{5}[/tex]

Conclusion:

As both systems of equations have the same solution.

Therefore, we conclude that Albert is right when says that the two systems of equations shown have the same solutions.

Hence, option A) Agree, because the solutions are the same is correct.

How do I simplify 25.3(2.4)

Answers

Answer:

60.72

Step-by-step explanation:

you multiply 25.3 by 2.4

What is the equation of the line that passes through the points (-3, -2) and (1, 6)?

Answers

Answer:

y = 2x +4

Step-by-step explanation:

m = [tex]\frac{y_{2} -y_{1} }{x_{2} - x_{1} }[/tex]

y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )

~~~~~~~

(1, 6)

(- 3, - 2)

m = 2

y - 6 = 2 ( x - 1 ) <------ ( point-slope form )

y = 2x + 4  <------- ( slope-intercept form )

2x - y = - 4  <------ ( standard form )

Drag the simplified value into the box to match each expression.
23+1⋅4−3
20+10−4⋅2
3+52−6⋅4

Answers

Answer:

Step-by-step explanation:

9

3

4

Answer:

1. 9

2. 3

3. 4

Step-by-step explanation:

I have taken the test and got 100% on it so I hope this helped you!

The equation y = 10x describes the amount of money Serena earns, where x is the number of hours she works and y is the amount of money she earns.
The table shows the amount of money Christine earns for different numbers of hours
worked.

Christine's Earnings
Time (h):
3 5 8 10
Money earned:
60 100 160 200

(a) How much money does Christine earn per hour? Show your work.

(b) Who earns more per hour? Justify your answer.

(c) Draw a graph that represents Christine's earnings over time in hours. Remember
to label the axes.

I WILL GIVE BRAINLIEST IF THEY ARE CORRECT AND ALL ANSWERS WERE ANSWERED!!!

Answers

Answer : Answer:

a) $10 per hour

b) Sandra

Step-by-step explanation: he equation y 10x describes the amount of money Sandra earns, where x is the number of hours she  works and y is the amount of money she earns

The table shows the amount of money Susan cams for different numbers of hours worked

Susan's Earnings

Time (h)           Money Earned

5                              40

8                              64                

10                             80

(a) How much money does Sandra eam per hour? Show your work

(b) Who earns more per hour? Justify your answer

Answer:

a)

y = 10x is sandra's equation. To find her hourly rate, we need to find how much she earns in "1" hour. Since x is hours, we plug in x = 1 and find y (which is her pay).

y = 10x

y = 10(1)

y = 10

$10 is Sandra's hourly rate.

b)

To find who earns more per hour, we need to find the hourly rate of Susan as well from the table. Then compare.

5 hours = $40 so per hour is 40/5 = 8

8 hours is 64, so per hour 64/8 = 8

10 hours is 80, so 80/10 = 8

The table is justified at $8 per hour.

We know Sandra earns $10/hr and Susan earns $8 per hour. So Sandra earns more per hour.

what is 9/10 ÷ 3/5 will give brainlist

Answers

Answer:1.5

Step-by-step explanation:

X=number of hours
Y=number of tents made

X=0,1,2,3,4,5,6,7,8
Y=6,7,8,9,10,11,12,13,14

What is the slope? What does it represent?

Answers

Given:

X=number of hours

Y=number of tents made

Table of value.

To find:

The slope and its interpretation.

Solution:

Consider any two points from the table, i.e., (0,6) and (1,7).

The slope is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{7-6}{1-0}[/tex]

[tex]m=\dfrac{1}{1}[/tex]

[tex]m=1[/tex]

Therefore, the slope is 1 and it represent that the number of tents made are increasing by 1 units in each hour.

Alexandra spends 1/3 of her daysleeping and 3/8 of her day at work. What fraction of Alexandra’s day is occupied by sleep or work?

Answers

Answer:

17/24

Step-by-step explanation:

Change the denominators to match

8/24 + 9/24 = 17/24

Graham walked to school at an average speed of 3 miles an hour and jogged back along the same route at 5 miles an hour. If his total traveling time was 1 hour, what was the total number of miles in the round trip?

Answers

x/3 + x/5 = 1 hr

8x/15 = 1 hr

x = 15/8

15/8 times 2 for round trip. 15/4 miles or 3.75 miles total

Other Questions
However, if you prefer to work on a different poem, it's a good idea to read through the entire instructions for this activity first to ensure that you choose a poem that is appropriate in length and complexity for the essay you'll be submitting. Which poem did you choose, and what influenced your selection explain how to find the mass of water. show your calculations as well 9. Determine which of the following sequences is a geometric sequence. Check all that apply.3,9, 27, 81, ...100, 90, 80, 70, ...5, 10, 20, 40, ...2, 10, 18, 26,...625, 125, 25, 5, ...-2, 6, -18, 54, ... What's the best answer for this"how can I trust you to be my admin?"help me please. TJ rented a truck to move to a apartment the regular price of a Truck Rental is $200 TJ has a 50% off coupon he wants to know the sale tax of the truck rental What is the main conflict in the story?A. To survive, the men build snow houses using their snowshoes and knives.B. The ice floe begins to float away, leaving the men strandedC. The men do not realize that the wind is blowing toward the north.D. The watchman on King's Island welcomes the men on the island. Which of the following had a dramatic impact on making the world a more connected, global place? In fruit flies, curved wings are recessive to straight wings, and ebony body is recessive to gray body. A cross was made between true-breeding flies with curved wings and gray bodies to flies with true-breeding straight wings and ebony bodies. The F1 offspring were then mated to flies with curved wings and ebony bodies to produce an F2 generation.1. Diagram the genotypes of this cross, starting with the parental generation and ending with the F2 generation.2. What are the predicted phenotypic ratios of this F2 generation?3. Suppose the following data were obtained for this F2 generation:114 curved wings, ebony body105 curved wings, gray body111 straight wings, gray body114 straight wings, ebony bodyConduct a chi-square analysis to determine if the experimental data are consistent with the expected outcome based on Mendel's laws. y is inversely proportional to the square of x.A table of values for x and y is shown.| 1 2 3 4Y| 4 1 4/9 1/4a) Express y in terms of x.b) Work out the positive value of x when y = 25 The right of citizens of the United States, who are eighteen yearsof age or older, to vote shall not be denied or abridged by theUnited States or by any State on account of age.pay federal income taxesTwenty-Sixth Amendment, U.S. Constitution (1971)13oserve as members of juriesThis amendment gained support based on the belief that people should have theright to vote ifthey are old enough to -drive motorized vehiclesbe drafted into the military Which expression is equivalent-3(6x+7)+4(7x+2) _____ season is when the weather is best in a locale and when many people have time off for vacation.LowAverageShoulderHigh The polynomial below is a perfect square trinomial of the form A2 - 2AB + B2.9x^2-36x+16A.TrueB.False What is the best reason as to why France would have wanted strict punishments given to Germanyafter the war?A. The French spent the most money and the most soldiers fightingB. France did not have its own army to protect itself in the futureC. A large amount of the fighting in the war took place in France, causing much damageD. The French wanted the most German territory to keep for themselves . Which of the following routines is best?A.a warm-up > dynamic stretches > exercise > static stretchesB.stretching > a warm-up > exercise How did trading companies, posts, trappers and traders contribute to the growth and settlement of Washington? Identify whether each item is a reactant or a product of cellular respiration Grant paid $12 for 4 baseball card packs. How many baseball card packs can he purchase for $21? Group of answer choices What is 3/10 as a decimal and as a representation percent? Please answer fast thanks Why did President Jimmy Carter withdraw the SALT II treaty from consideration by the Senate in 1979?A)Russia reneged on its part of the agreement.B)The Iranian Revolution stopped the agreement.C)Russian combat troops were found in Mexico.D)The Soviet Union had invaded Afghanistan.