Solve each system by substitution. Show all work.
-8x+2y= -4
-7x+y= -8

Answers

Answer 1

Answer:

(2, 6 )

Step-by-step explanation:

- 8x + 2y = - 4 → (1)

- 7x + y = - 8 ( add 7x to both sides )

y = 7x - 8 → (2)

substitute y = 7x - 8 into (1)

- 8x + 2(7x - 8) = - 4 ← distribute parenthesis and simplify left side

- 8x + 14x - 16 = - 4

6x - 16 = - 4 ( add 16 to both sides )

6x = 12 ( divide both sides by 6 )

x = 2

substitute x ;= 2 into (2)

y = 7(2) - 8 = 14 - 8 = 6

solution is (2, 6 )


Related Questions

solve 2x + 12 = -4. show wrk

Answers

2x +12=-4

2x= -4-12

2x=-16

x=-16/2

x= -8

Step-by-step explanation:

2x+12=-4

2x=-4-12

x=-16/2

x=-8

hope this helps you

have a good day.

The tennis coach at Riverside High School is purchasing equipment for the team. He has a budget of no more than $300 to purchase racquets and tennis balls. He wants to buy a large case of tennis balls costing $20 and several racquets that cost $40 each. Write an inequality statement that represents his purchase. What does the variable represent in your inequality? Solve the inequality.​

Answers

Answer:

300 ≥ 20 + 40x

Step-by-step explanation:

where x is the amount of racquets being bought

can i get brainliest please?

show your work on
9-x>10

Answers

Answer:

x < -1

Step-by-step explanation:

9 -10 > x

x< -1

Answer:

x < - 1

Step-by-step explanation:

9 - x > 10 ( subtract 9 from both sides )

- x > 1

multiply both sides by - 1, reversing the symbol as a result of multiplying by a negative value.

x < - 1

smh other one didnt work what is this someone please tell me

Answers

Answer:

x > 125

Step-by-step explanation:

I'm not sure how much you know about solving equations, but solving inequalities is in many ways very similar.

In this inequality, to isolate x, we must multiply both sides of the inequality by 25. This will put x by itself with another number on the other side of the inequality symbol. 5 times 25 is 125, so our final inequality is x > 125.

Hopefully, that's helpful! Let me know if you have any more questions.

2 2/5 x 4 3/4
A 8 3/10
B 11 2/5
C 9 3/10
D 10 3/5​

Answers

Answer:

It's B

Step-by-step explanation:

Multiple the denominator with the whole number, then take that number and add it with the numerator. So you'll have 12/5 x 19/4. Multiply the numerators with each other and the denominators with each other and you'll have 228/20. Divide 228 by 4 and you'll get 11 2/5.

The square of the quantity three less than a number n is seven(answer in an algebraic expression)

Answers

Answer:

[tex](n - 3)^2 = 7[/tex]

Step-by-step explanation:

From the question, we understand that the number is n.

Three less than n is:

[tex]n - 3[/tex]

The square is:

[tex](n - 3)^2[/tex]

The square equals 7;

So, we have:

[tex](n - 3)^2 = 7[/tex]

Easy Question!

What is the value of x?

Answers

This answer is 58 because that angle is 90 an 99+22=112 180-112=58

Answer:

X+22°=90°

X=90°-22°

X=68°

What is the value of x

Answers

Answer:

x+10+x+3x-5= 180

Step-by-step explanation:

5x+5=180

5 x = 175

X= 175/5

x=35

Given the arithmetic sequence : 52, a, b, 67 . Find the value of a * b

Answers

Answer:

a=57 b=62

Step-by-step explanation:

u⁰=52

u¹=a

u²=b

u³=67

Use the explicit relation given by:

u(n)=u⁰+nd

where n is any term and d is the common difference.

u³=u⁰+3d

67=52+3d

3d=67-52

d=15/3

d=5

a=52+5=57

b=a+5=62

67=b+52=62+5=67 (just to make sure of the answer)

Three times a number x minus four times a second number y divided by seven times a third number z

Answers

Answer

Step-by-step explanation:

Question is not clear. Is 4y being divided only by 7z or is the whole expression (3x - 4y)?

What is the probability of an event that is impossible?

Answers

What is the probability of an event that is impossible?

p = 0

Answer:

The probability is 0.

Step-by-step explanation:

The probability of an impossible event is 0, or 0%.

The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. What is the approximate loudness of a rock concert with a sound intensity of 10–1?.

Answers

The approximate loudness of a rock concert with a sound intensity of 10⁻⁹ is 110 Db.

What is a logarithm?

Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.

The loudness (L) measured in decibels (Db), of sound intensity (I), measured in watts per square meter, is defined as

[tex]\rm L = 10 \ log \ \dfrac{I}{I_o}[/tex]

where [tex]\rm I_o = 10^{-12}[/tex] and is the least intense sound a human ear can hear.

The approximate loudness of a rock concert with a sound intensity of 10⁻¹ will be

[tex]\rm L = 10 \ log \ \dfrac{10^-^1}{10^{-12}}\\\\\rm L = 10 \ log 10^1^1\\\\L = 10*11\\\\L = 110[/tex]

The approximate loudness of a rock concert with a sound intensity of 10⁻¹ is 110 Db.

More about the logarithm link is given below.

https://brainly.com/question/7302008

Jordan and Raj each bake 7 batches of muffins. Jordan makes 18 muffins per batch, and Raj makes 15 muffins per batch. They combine their muffins and put all of them into boxes. They fill as many boxes as possible with 6 muffins each. They place the remaining muffins in the last box.

Enter your answers in the boxes.

How many full boxes do they make, and how many muffins will be in the last box?

Answers

i cant understand it much.

Answer:

Step-by-step explanation: Jordan's batches have 18 muffins a piece he made 7 bathes so 7 times 18 equals 126 muffins. Raj's batches have 15 muffins per batch which he also makes 7 batches of so 7 times 15 is 105. The boys then add all their muffins together so 126 muffins plus 105 muffins is 231 muffins. They then have to divide the muffins into boxes that can hold up to 6 muffins each so  you are dividing 231 divided by 6 so the answer is 38 full boxes and 3 muffins left in the last box ( I just took the test and that was the answer)

PLSSS HELP

The part of a whole is called?


The part of a whole is called?

a share
b fraction
c factor
d piece

Answers

Answer:

fraction is called as the part of a whole

A part of a whole is a fraction because it’ll be like 1/2

PLS HELP ASAP!!!
What is the x-intercept of the line with this equation 1/3x +y=-15?
Enter your answer in the box.


(_,0)

Answers

Answer:

(-45,0)

Step-by-step explanation:

We know that the x intercept is the point where y equals '0' in an equation. Which means in a function including the y value as a variable, we can substitute 0 for y to get the x intercept!

Here's how you do it:

[tex]1/3x + y = -15\\y=0\\1/3x + (0) = -15\\1/3x = -15\\x = -45[/tex]

That makes the x intercept -45!

Hope I was of assistance!  #SpreadTheLove <3

x- intercept = -45

Step-by-step explanation:

equation: 1/3x + y = -15

=> to find intercept, y=0

=> 1/3x + 0 = -15

=> 1/3x = -15

=> 1x = -15 × 3

=> x = -45 / 1

=> x = -45

What is 178 divided by 6. Give the quotient and the remainder.​

Answers

Answer: 29 with the Remainder of 4

Step-by-step explanation:

Answer:

29 Remainder 4

Step-by-step explanation:

To make a snack mix, combine 2 cups of raisins with 4 cups of pretzels and 6 cups of almonds. Use this to answer 2b. (2b) There are ________ cups of pretzels for every cup of raisins.

Answers

I think answer should be 8 please give me brainlest let me know if it’s correct or not okay thanks bye

If Ryan gives 3/8 of his cards to Josiah, how many cards does he give to Josiah?

Answers

Answer:

37.5% of his cards

Step-by-step explanation:

i d k how many cause you didnt give a starting number.

Select the correct answer.
If and , find .

A.

B.

C.

D.

Answers

Answer:

C

Step-by-step explanation:

f(x) - g(x)

= [tex]\sqrt{x}[/tex] - x - (2x³ - [tex]\sqrt{x}[/tex] - x) ← distribute parenthesis by - 1

= [tex]\sqrt{x}[/tex] - x - 2x³ + [tex]\sqrt{x}[/tex] + x ← collect like terms

= - 2x³ + 2[tex]\sqrt{x}[/tex]

The answer is A
The rest doesn't comply with f(X)-g(X)

prove line segment de is congruent to line segment ce

Answers

Answer:

because there is 1 arc on both meaning they are congruent

Step-by-step explanation:

Yvonne brought 4 7/8 yards of material to make a dress. What is 4 7/8 as an improper fraction? What is 4 7/8 written as a decimal?

Answers

Answer:

improper fraction- 39/8

mixed fraction- 4.875

Look at pic, I need #4 and F and G could be an answer. I am giving 23 points and will mark brainliest if you tell me how.

Answers

Answer is J

see the full solution in the photo

Answer:

J

Step-by-step explanation:

2(-1^2) - 4(-2) +6

=2 (1) +8 +6

=2+8+6

=16

write an equation for the point 4,3​

Answers

Answer:

y-3=3(x-4)

Step-by-step explanation:

Hi there!

We are given that a line intersects the points (4, 3), and (6, 9)

The slope of this line is 3

And we want to write an equation in point-slope form using (4, 3)

Point-slope form is written as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point

We already have one point of the equation filled out -- the [tex]y_1[/tex], which in this case, is 3;

Our current equation is:
[tex]y-3=m(x-x_1)[/tex] (n.b. I put m and [tex]x_1[/tex] as place holders)

Before we proceed though, let's label the values of the other things (m and [tex]x_1[/tex]) to avoid confusion:
[tex]x_1=4\\m=3[/tex]

Now we can substitute these into the equation:

y-3=3(x-4)

Hope this helps!

See more on writing equations in point-slope form here: https://brainly.com/question/1616074

Answer:

[tex]Hence,\ the\ equation\ is\ \fbox{$y-3=3(x-4)$}\[/tex]

Step-by-step explanation:

            [tex]Given,[/tex]
                [tex]points=\left(4,3\right)R\left(6,9\right)[/tex]

     [tex]To\ find!-the\ equation\ of\ line.[/tex]

[tex]Solution:-We\ know\ that\ the\ slope\ of\ the.[/tex]
                   [tex]line\ is\ given\ by[/tex]

     [tex]slope\left(m\right)=\frac{y_2-y_1}{x_2-x_1}[/tex]

               [tex]m=\frac{9-3}{6-4}=\frac{6}{2}=3[/tex]

  [tex]The\ equation\ of\ line\ in\ point-slope\ form[/tex]
     [tex]using\ the\ point\ \left(4,3\right)\ will\ be[/tex]
  [tex]y-y_1=m\left(x-x_1\right)[/tex]
  [tex]y-3=3\left(x-4\right)[/tex]

I hope this helps you

:)

Solve for x.
ill give u brain thing

Answers

Answer:

53

Step-by-step explanation:

We can use the Pythagorean Theorem to find x.

Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

Where "a" and "b" represent the legs and "c" represents the hypotenuse of the right triangle.

Let's substitute the given lengths into the equation:

[tex]28^2+45^2=x^2\\784+2025=x^2\\x^2=2809[/tex]

Take the square root of both sides:

[tex]\sqrt{x^2}=\sqrt{2809}[/tex]

[tex]x=53[/tex]

A bridge has a sign that says “Maximum Weight 6 Tons.” If a truck weighs 13,000 pounds, is it too heavy to cross the bridge?

Answers

Answer:

Yes

Step-by-step explanation:

1 ton = 2000 pounds

6 tons = 12000 pounds

13000>12000

The truck is 1000 pounds overweight so yes it is too heavy to cross the bridge.

O Q Q
27 i 15
4. If a car is traveling 20' west of straight south, what is its true bearing? Draw a diagram to
show the path of the car. (10.9 Approaching)
5. If a plane is traveling 30" north of straight west, what is its true bearing? Draw a diagram to
show the path of the plane (10.9 Approaching)

Answers

Step-by-step explanation:

straight south is 180°.

so it is 180° 20'.

straight west is 270°.

so, it is 270° 0' 30".

The sum of 6 consecutive integers is 519
What is the third number in this sequence?

Answers

n= the first integer

n + (n+1) + (n+2) + (n+3) + (n+4) + (n+5) = 519

6n + 15 = 519

6n = 594

n = 99

1st one = 99

so 3rd one = 101

Can someone help me I'm lost

Answers

Answer:   [tex]\sqrt{6}[/tex]

This is the same as typing in sqrt(6)

=======================================================

Explanation:

The square has all four sides the same length, which in this case is [tex]\sqrt{3}[/tex] units.

The diagonal of the square splits it into two identical right triangles.

Use the Pythagorean Theorem to find the hypotenuse x, aka the diagonal.

[tex]a^2 + b^2 = c^2\\\\c = \sqrt{a^2 + b^2}\\\\x = \sqrt{\left(\sqrt{3}\right)^2+\left(\sqrt{3}\right)^2}\\\\x = \sqrt{3+3}\\\\x = \sqrt{6}\\\\[/tex]

Or you can take the shortcut

[tex]\text{hypotenuse} = (\text{leg})*\sqrt{2}\\\\x = \sqrt{3}*\sqrt{2}\\\\x = \sqrt{3*2}\\\\x = \sqrt{6}\\\\[/tex]

Which applies to 45-45-90 right triangles.

let's recall that a square has four equal sides, Check the picture below.

Which value of x solves the equation below?
10(x - 1) = 8x - 2

x = 6
X = 4
x = 5
x = 2

Answers

x=4

10x - 10 = 8x - 2
-8x -8x
2x - 10 = -2
+2 +2
2x - 8 = 0
2x = 8
/2 /2
x=4

I need help I have been struggling with this question for 15 minutes

Answers

8155 original long with 5 purebtice
Other Questions
________ are most common in children under the age of 5 and are typically triggered by infections causing a fever. Specially trained scientists who work to uncover the story of prehistoric people arecalled? Required information The Foundational 15 [LO6-1, LO6-2, LO6-3, LO6-4, LO6-5] [The following information applies to the questions displayed below.] Diego Company manufactures one product that is sold for $73 per unit in two geographic regionsthe East and West regions. The following information pertains to the companys first year of operations in which it produced 56,000 units and sold 51,000 units. Variable costs per unit: Manufacturing: Direct materials$24 Direct labor$16 Variable manufacturing overhead$2 Variable selling and administrative$3 Fixed costs per year: Fixed manufacturing overhead$784,000 Fixed selling and administrative expense$672,000 The company sold 38,000 units in the East region and 13,000 units in the West region. It determined that $300,000 of its fixed selling and administrative expense is traceable to the West region, $250,000 is traceable to the East region, and the remaining $122,000 is a common fixed expense. The company will continue to incur the total amount of its fixed manufacturing overhead costs as long as it continues to produce any amount of its only product. Foundational 6-7 7. What is the amount of the difference between the variable costing and absorption costing net operating incomes (losses)? 2. EKim baked 20 cookies. Her friend Amyate 4 cookies, and her brother ate 2of the cookies. Which expression canKim use to find out how many cookiesare left?a.a.20+ (4 + 2)b. 20 - (4 + 2)(20 - 4) + 2d. 20 - (4-2)b.C.d. Noah is creating a startup. He uses the website Upwork to hire freelancers in India and in the Ukraine to work for him. This is an example of:1.industrialization.2.automation.3.outsourcing.4.Moores Law. why is it beneficial for DNA to transition from free floating DNA to a chromosome form during the cell cycle? Which sentence in the passage uses definition to help explain the meaning of the word Celts?HalloweenHalloween is one of the oldest celebrations in the world. In fact, it dates back to before Christianity began. Today, Halloween mainly is celebrated by wearing scary costumes and asking for treats. However, its primary purpose was to remember the dead. It was said to be a day when the spirits would cross over to the next world. Also, the day was originally used to mark the beginning of winter. This tradition was followed by the Celts. This ancient group of people lived in the Bronze Age. Halloween, for them, was rather glum and not a day for rejoicing. Over the years, the holiday became less grim. People began seeing it as a day of celebration. Today, families carve pumpkins to decorate their houses. They also play games, such as bobbing for apples. Some insect species are resistant to pesticides. Which statement BEST explains this phenomenon? Natural selection resulted in an unfavorable variation for the insects. Because their survival depended on it, the insects developed variations that made them resistant to poisons. Random variation in the population led to a population with a favorable adaptation. Some of the insects became instantly immune when the poisons were introduced into their environment Is brass a heterogeneous or homogeneous mixture ??????Answer me first and right and then I promise you I will mark you the brainliest. Also 20 points 2In 1987, the fastest auto race in the United States was the Busch Clash in Daytona, Florida. That year, thewinner's average speed was about 318 km/h. Suppose the kinetic energy of the winning car was 3.80 MJ. Whatwas the mass of the car and its driver? HELP ASAP I GIVE BIG BRAIN Why does the mitochondrial gene tree suggest a later split? PLEASE HELP!! Brainliest for right Which of the following are equivalent to 5m(m+3) - 2m? Choose all that apply. What is 3x + 4 (x 5) when x = 5? A 25 B 10 C 15 D 55 Based based on the model what will the mean diameter of the phytoplankton cells that are found 25 km from shore the vertex of a parabola is located at (-2,5). If the parabola has a y-intercept of -27, which quadratic function represents the parabola in standard form? y=a(x-p)^2 +q find the 2 and the 4 One fact about all currency is that it Describe the 4 steps taken to separate a solid mixture of iron fillings, chalk powdeand table salt based on their properties given below.[3]The first step has been done for you.Soluble in water?Magnetic?Decompose uponheating?NoYesNoIronFillingsChalkpowderable saltNoNoYesYesNoNo In art class, Ernest is attaching strings to puppets to make marionettes. For each puppet, heties 6 inches of string to the head and 9 inches of string to each of the 2 arms. If he has atotal of 5 puppets, how many feet of string does he use in all?feet