How do I solve systems of equations algebraically

Answers

Answer 1

Answer:

You solve equations algebraically by using equations to answer and having variables rather than the arithmetic way (doing the work).

Ex: instead of 20÷5=4 (arithmetic), you do

20=5x


Related Questions

Can you Solve 4x = -60

Answers

Answer:

X = -15

Step-by-step explanation:

Divide -60 by 4

Ok so I’ll solve it step by step:
4x=-60 step 1-you have to get rid of the 4 first by dividing it on both sides(the reason is because you want to isolate the x)
4x/4=-60/4 step 2- divide -60 by 4
x=-15

What is the slope of the line that passes through the points (-3,3) and (1,-5)

Answers

The slope of the line that passes through (–3, 3) and (1, –5) is –2

Solution:

Given slope of the line passes through two points (–3, 3) and (1, –5).

Formula for the slope of the line passes through two points is

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

Here, [tex]x_1=-3, x_2=1, y_1=3,y_2=-5[/tex]

Substitute these in the slope formula, we get

⇒ [tex]m=\frac{(-5)-3}{1-(-3)}[/tex]

⇒ [tex]m=\frac{-5-3}{1+3}[/tex]

⇒ [tex]m=\frac{-8}{4}[/tex]

⇒ [tex]m=-2[/tex]

Hence, the slope of the line that passes through (–3, 3) and (1, –5) is –2.

an airplane lands at an airport 80 miles west and 30 miles north of where it took off. How far apart are the airports.

Answers

Answer:

85.44 miles apart

Step-by-step explanation:

According to the question;

The airplane flew 80 miles west and 30 miles north

We are supposed to determine how far apart are the airports.

The shortest distance will be the displacement from the initial point.We are going to use the Pythagoras theorem;a² + b² = c² , where a and b are the legs of a right angled triangle and c is the hypotenuse.Therefore, in this case; our legs will be 30 miles and 80 miles, so we need to determine the hypotenuse;

That is;

c² = 80² + 30²

    = 6400 + 900

    = 7300

c = √7300

  = 85.44

Thus, the airports are 85.44 miles apart

   

sharon is planning a cookout for 42 people. each guest will get 1 veggie burger. sharona will put one slice of cheese on half of the burgers. cheese slices come in packs of 8. write and solve an equation to find the number of packs of cheese, p, that sharon needs to buy.

Answers

Answer:

3

Step-by-step explanation:

42 divided by 2 equals 21

21 divided by 8 equals 2.625

therefore, sharon must buy 3 packets of cheese.

- the line through (3, 7) and (-1, 4) --

Answers

Answer:

[tex]y = \frac{3}{4}x + \frac{19}{4}[/tex]

Step-by-step explanation:

We have to get the equation of the straight line through the points (3,7) and (-1,4).

Now, we know that the two-point formula of a straight line passing through the two points [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] is given by

[tex]\frac{y - y_{1} }{y_{1} - y_{2}} = \frac{x - x_{1} }{x_{1} - x_{2}}[/tex].

So, in our case, the equation of the straight line will be

[tex]\frac{y - 7}{7 - 4} = \frac{x - 3}{3 + 1}[/tex]

⇒ 4(y - 7) = 3(x - 3)

⇒ 4y - 28 = 3x - 9

⇒ 4y = 3x + 19

⇒ [tex]y = \frac{3}{4}x + \frac{19}{4}[/tex] (Answer)

Can someone please help me?​

Answers

Answer:

15.5 seconds.

Step-by-step explanation:

From the time the driver activated the brakes until he stopped, he travelled 76 - 14 = 62 meters.

During this time the car slowed  down from 8 m/s to 0 m/s.

Assuming the deceleration was constant during this time we can apply one of the equations of motion for constant  acceleration:

s = (u + v)t / 2   where u = initial velocity, v = final velocity, s = distance and t = the time, so:-

62 = (8 + 0)t/ 2

62 = 8t/2

4t = 62

t = 15.5 seconds.

Divide 20/100
To find two equivalent fractions

Answers

1/5, 2/10, 3/15, 4/20, 5,25, and on going up a number example (...6,7,8,9,10) and up 5 example (...30,35,40,45)
Final answer:

Two equivalent fractions for 20/100 are 1/5 and 2/10. These are found by simplifying the fraction 20/100 by dividing by 20 and 10, respectively. Setting up proportions in different contexts often uses the principle that multiplication and division are related through reciprocals.

Explanation:

To find two equivalent fractions for 20/100, we can simplify the fraction by dividing the numerator and the denominator by the same number. Since both 20 and 100 are divisible by 20, we can divide them both by 20 to get the first equivalent fraction, which is 1/5. To find a second equivalent fraction, we might choose another common divisor, like 10, which gives us 2/10 as another equivalent fraction to 20/100.

Converting percents to fractions involves writing the percentage as a fraction with a denominator of 100 and then simplifying. For instance, 20% would become 20/100 which simplifies to 1/5. To set up a proportion in other contexts, you could follow examples like setting scales in drawings or units in ratios equal to one another, and in doing so, you're often utilizing the concept that multiplication and division are related through the use of reciprocals.

Julie spend $5.62 at the store. Micah spends 5 times as much as Julie. Jeremy spends $6.72 more that Micah. How much money does each person spend?

Answers

Answer:

Julie Spends $5.62, Micah spends $28.10 and Jeremy Spends $34.82

Step-by-step explanation:

If Micah spends 5 times as much as Julie, that is $28.10 because 5.62 x 28.10 = 28.10. If Jeremy spends 6.72 more than Micah, you would do 28.10 + 6.72, which is 34.82

I think I did the math correct but I may be wrong

Answer:

reeeeee

Step-by-step explanation:

ererrrrrrrrrrrrrrrr

What is the distance ?

Answers

Distance between 2 points formula: √(x2 − x1)² + (y2 − y1)²

= √(7 - (-3))² + (-1 - 5)²

= √10² + -6²

= √100 + 36

= √136

≈ 11.662 (Note that this number is rounded because its a a non-terminating decimal).

Best of Luck!

w+2/3=2 5/6 what is w

Answers

Answer:

13/6

Step-by-step explanation:

2 5/6=17/6

w+2/3=17/6

w=17/6-2/3

w=17/6-4/6

w=13/6

The player who received the most votes, by percentage, for the Heisman Trophy in a year was Reggie Bush in 2005. Though his trophy was vacated, he received 784 first place votes, 89 second place votes and 11 third place votes. How many total points did he receive that year? First place votes are worth 3 points, second place votes are worth 2 points, and third place votes are worth 1 point.

A) 995
B) 1541
C) 2415
D) 2541
E) 2733

Answers

D) 2541

Step-by-step explanation:

The question is on multiplication,where you multiply the votes by the number of points and then add to find the total.

Given that the player got;

784 votes @ 3 points

89 votes @ 2 points

11 votes @1 point

Total number of points will be;

(784*3)+(89*2)+(11*1)=2541 points

Learn More

Multiplication:https://brainly.com/question/4210632

Keywords : player, votes, percentage,trophy,points

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John is selling tickets to an event. Attendees can either buy a general admission ticket or a VIP ticket. The general admission tickets are $70 and the VIP tickets are $105. If she knows he sold a total of 33 tickets and made $2730, how many of each type did she sell?

Answers

Answer:

The number of general admission tickets sold was 21 and the number of VIP tickets sold was 12

Step-by-step explanation:

Let

x ----> the number of general admission tickets sold

y ----> the number of VIP tickets sold

we know that

[tex]x+y=33[/tex] ---> equation A

[tex]70x+105y=2,730[/tex] ----> equation B

Solve the system of equations by graphing

Remember that the solution is the intersection point both lines

using a graphing tool

The solution is the point (21,12)

see the attached figure

therefore

The number of general admission tickets sold was 21 and the number of VIP tickets sold was 12

Final answer:

To solve how many general admission and VIP tickets John sold, a system of equations is formed and solved, revealing that John sold 21 general admission tickets and 12 VIP tickets.

Explanation:

John is selling tickets to an event with two different pricing options, general admission tickets at $70 and VIP tickets at $105. He sold a total of 33 tickets resulting in revenue of $2730. To determine how many of each type of ticket he sold, we will use a system of equations.

Let x represent the number of general admission tickets sold and y represent the number of VIP tickets sold. We can then form the following two equations based on the information provided:

x + y = 33 (equation 1: total number of tickets sold)

70x + 105y = 2730 (equation 2: total revenue from ticket sales)

To solve this system, we can use the method of substitution or elimination. Here, we'll use substitution for simplicity. First, solve equation 1 for x:

x = 33 - y

Substitute this expression for x in equation 2:

70(33 - y) + 105y = 2730

Simplify and solve for y:

2310 - 70y + 105y = 2730

35y = 420

y = 12

Since y = 12, substitute y back into equation 1 to find x:

x = 33 - 12 = 21

Therefore, John sold 21 general admission tickets and 12 VIP tickets.

What is the answer to 20g + 24h?

Answers

Answer: 64g

Step-by-step explanation: added 20 by 20 and then add the 4.

Answer:it stays the same

Step-by-step explanation: because if it different letters it can’t combine

When x=8 and y=20. Find y when x=68​

Answers

Answer:

[tex]8(68) + 20[/tex]

[tex]8 \times 68 + 20[/tex]

[tex]544 + 20[/tex]

[tex]x = 564[/tex]

Answer:

170

Step-by-step explanation:

8/20=x/y

simplify. 2/5

2/5=68/y

68*5/2=y

68*5=340

340/2=170

y=170

Determine if the function f is an exponential function. If so, identify the base. If not, why not? f(x) = x^−3.141


A.) This is not an exponential function because the variable is in the base position.


B.) The base is x.


C.) This is a polynomial.



D.) The base is −3.141.

Answers

Answer:

A.

Step-by-step explanation:

The variable x is in the base position so it is not exponential..

An exponential function is where the exponent is the variable , like for example 2^x.

Final answer:

The function f(x) = x^-3.141 is not an exponential function because in an exponential function, the base must be constant, and here x is the exponent, not the base.

Explanation:

The function f(x) = x−3.141 is not an exponential function. In an exponential function, the base is a constant and the exponent is the variable. Since the variable x is in the exponent here and the base is not a constant, we do not have an exponential function according to the definition.

Therefore, the correct answer is A: This is not an exponential function because the variable is in the base position and not in the exponent where we typically find the variable in exponential functions.

Subtract the fraction 7/8-1/4 Write the difference in simplest form A:3/8 B:5/8 C:7/8 or D:11/8

Answers

Answer:

5/8

Step-by-step explanation:

First, you need to find a common denominator. In this case, the common denominator is 8. To change the second fraction into a fraction that you can easily subtract, you have to multiply the second fraction by 2/2 (which simplifies to one, so you're not changing the value of the fraction at all). Now, the equation reads, 7/8 - 2/8. From here, you just need to subtract the numerators, which ends up being 5/8.

Answer:

B. 5/8

Step-by-step explanation:

Between 7/8 and 1/4, the common denominator is 2. By multiplying 1/4 by 2, you'll get 5/8 after subtracting 2/8 from 7/8.

Can you help me make a Word problem

Answers

Answer:hey

Step-by-step explanation:

A gardener makes a new circular flower bed. The bed is fourteen feet in diameter. Calculate the circumference and the area of the circular flower bed.
A. circumference= 14pi feet, area = 196pi square feet

B.circumference = 14
feet, area = 14pi
square feet

C.circumference = 14pi
feet, area = 49pi
square feet

D.circumference = 7pi feet,area= 49pi square feet

Answers

The circumference and the area of the circular flower bed is 14π feet

Circumference of a circle

The formula for calculating the circumference of a circle is expressed as:

C = 2πr

Given the following parameeters

diamter = 14ft

radius = 14/2  = 7ft

Susbtitute

C = 2π(7)

C = 14π feet

A  = π(7)^2
A = 49 π square feet

Hence the circumference and the area of the circular flower bed is 14π feet

Learn more on the circumference of the circle here: https://brainly.com/question/23986334

Chanita wants to swim the 21-mile English Channel in 48 hours. On the first day she swam 9 miles and then was picked up by a ferry to spend the night. The next day, she has 12 hours of daylight to complete the remaining distance. What inequality represents the minimum rate she has to swim on the second day to complete the distance? the inequality is 9 +

Answers

The inequality 12x+9 ≥ 21  represents the minimum rate Chanita have to swim on second day to complete the distance.

Step-by-step explanation:

Given,

Length of English Channel = 21 miles

Distance covered on first day = 9 miles

Time to complete remaining distance on second day = 12 hours

Let,

x be the distance covered per hour on second day.

Time to cover distance * Distance covered per hour + Distance on first day ≥ Total distance

12x+9 ≥ 21

The inequality 12x+9 ≥ 21  represents the minimum rate Chanita have to swim on second day to complete the distance.

Keywords: addition, inequality

Learn more about addition at:

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Answer:

The answer is in the picture below. :)

Step-by-step explanation:

Help me on my midterm.!

Answers

Last Option: "The division property is used to create step 4" is the correct answer

Step-by-step explanation:

Given equation is:

[tex]6(3x-4)-26 = 40[/tex]

Step 1: Distributive property

[tex]18x-24-26 = 40\\[/tex]

Step 2: Simplifying

[tex]18x-50 = 40[/tex]

Step 3: Addition Property of Equality

[tex]18x-50+50 = 40+50\\18x = 90[/tex]

Step 4: Division Property of Equality

[tex]\frac{18x}{18} = \frac{90}{18}\\x = 5[/tex]

Hence,

Last Option: "The division property is used to create step 4" is the correct answer

Keywords: Linear equation, variables

Learn more about linear equation at:

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The best answers gets the branliest and 20 points

Answers

Answer:

b and c

Step-by-step explanation:

There are 27/9 and I don’t know the answer

Answers

Answer:i8lil

Step-by-step explanation:

loo;;o;o;oo;

Answer:

you Go up to who ever teaches you cuz it’s 8 and u should know This

How do I simplify (5i) square

Answers

Answer:

see attached picture please

What is the solution to –2(8x – 4) < 2x + 5?

x > x is greater than StartFraction 1 Over 6 EndFraction.
x < x is less than StartFraction 1 Over 6 EndFraction.
x > 6
x < 6

Answers

Answer:

x is greater than StartFraction 1 Over 6 EndFraction.

Step-by-step explanation:

–2(8x – 4) < 2x + 5

⇌  –16x + 8 < 2x + 5

⇌ 3 < 18x

⇌ 1/6 < x

⇌ x > 1/6

Answer:

A

Step-by-step explanation:

A six sided die is tossed and a coin is flipped. What is the fractional probability that the die lands on an even number and the coin is heads?

Answers

Answer:

3/12

Step-by-step explanation:

{1, 2, 3, 4 ,5 ,6}

There are 3 even numbers and the coin would be 1/2.

3/6*1/2=3/12

Solve the systems of equations using the substitution method.
5y-6=x
Y=-x

Answers

Answer:

x=-1, y=1. (-1, 1).

Step-by-step explanation:

5y-6=x

y=-x

-----------

5(-x)-6=x

-5x-6=x

-5x-x=6

-6x=6

x=6/-6

x=-1

y=-(-1)=1


Outcome
A
B
C
D
Probability
.25
.33
.37
.05

What is the probability of either outcome B or D?
a.
.28
c.
.19
b.
.38
d.
.33

Answer b

Answers

Answer:

the answer is b

Step-by-step explanation:

Answer:

B. 0.38

Step-by-step explanation:

There are 453.592 grams in one pound. A semi-slick, Kevlar tire weighs about 520 grams. What is the tire’s weight in pounds?

Answers

Answer:

The tire's weight in 1.146 pounds.

Step-by-step explanation:

Given:

There are 453.592 grams in one pound.

A semi-slick, Kevlar tire weighs about 520 grams.

Now, to find the tire's weight in pounds.

As, given 1 pound is 453.592 grams.

The weight of tire = 520 grams.

So, to get the tire's weight in pounds by using conversion factor:

1 pound = 453.592 grams.

Thus, 520 grams is:

[tex]\frac{520}{453.592}[/tex]

[tex]=1.146\ pounds.[/tex]

Therefore, the tire's weight in 1.146 pounds.

HELP!! If over A few weeks Carla saw 15 mayflies how many flying insects did she see

Answers

Number of insect = 70

Step-by-step explanation:

Given  expression

Number of insect                  Number of mayflies

         x                                                    [tex]\frac{3}{14}x[/tex]

According to problem

[tex]\frac{3}{14}x[/tex][tex]=15[/tex]

⇔[tex]x = \frac{15 \times 14}{3}[/tex]

⇔[tex]x = 70[/tex]

Number of insect = 70

PLEASE HELP!
The function f(x) = Three-fourths(10)–x is reflected across the x-axis to create the function g(x). Which ordered pair is on g(x)?

(negative 3, negative StartFraction 3 Over 4,000 EndFraction)
(–2, 75)
(2, negative StartFraction 3 Over 400 StartFraction)
(3, –750)

Answers

Answer:

The actual answer is C) 2, -3/400

Step-by-step explanation:

I hope this can help, I checked for the answer after the quiz.

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