How do you do system of equation word problems?

Answers

Answer 1

Answer:

Step 1: Isolate a variable. The variable y is already isolated in the first equation.

Step 2: Plug the result of Step 1 into the other equation and solve for one variable. Plug.

Step 3: Plug the result of Step 2 into one of the original equations and solve for the other variable.

Step 4: State the solution.

Step-by-step explanation:


Related Questions

If ABC is the original and DEF is the image, what is the scale factor of this dilation ?

Answers

Answer:

The scale factor of this is 2

Step-by-step explanation:

Write 4/14 in simplest form

Answers

Answer:

2/7

Step-by-step explanation:

14/2=7. 4/2=2 .2/7 is the answer

Answer:

2/7

Step-by-step explanation:

Divide by 2

4 divided by 2 is 2

14 divided by 2 is 7

So 2/7 is the simplest form

Hope this helps :)

State the slope of the line.

-2
1
0
undefined

Answers

The answer for the slope of the line is 0 zero

122 students choose to attend one of three after school activities: football, tennis or running. There are 66 boys. 46 students choose football, of which 23 are girls. 18 students choose tennis. 28 girls choose running. A student is selected at random. What is the probability this student chose running? Give your answer in its simplest form.

Answers

Answer:

29/61

Step-by-step explanation:

okay, first imma simplify the question a little bit.

122 students; 46 chose football; 18 chose tennis; 28girls + xboys chose running.

okay now let's find the number of students who chose running

122 - 46 - 18 = 58

now, I'll find the probability

P(Running) = 58/122 = 29/61

Topic: Probability

If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!

£310 is divided between Angad, Nick & June so that Angad gets twice as much as Nick, and Nick gets three times as much as June. How much does Nick get?

ill mark first person brainliest

Answers

nick gets 1800 pounds. Hope it helps

Answer:

Nick gets 93 pounds

Step-by-step explanation:

June gets X

Nick gets 3X

Angad gets twice as much as Nick, so 2*(3X) = 6X

X+3X+6X=310

X= 31

We check

June gets 31 pounds

Nick gets 93 pounds

Angad gets 93x2 = 186 pounds

31+93+186 = 310. It's correct!

Joe's Canoes charges an initial fee of $20 plus $4 an hour. Callie's Canoes charges a flat rate of $14 an hour. Write an equation to represent this situation.

Answers

Answer:

joe 20+ 4x

callie 14x

Step-by-step explanation:

Matt swam 225 yards in 5 minutes. If Matt swam at a constant rate, how fast did he swim in yards per minute?
-1,125 yd./min
-220 yd./min
-45 yd./min
-5 yd./min
Please answer fast!

Answers

5/5 = 1
225/5 = 45

45 yards per minute
225 divided by 5 equals 45 and so the answer is 45 yards per minute

AOE Find the angle of elevation if you are standing 400 ft. away and the building is 850 ft. tall?

Answers

Answer:

64.8°

Step-by-step explanation:

A

Please see attached a rough sketch for your reference

Step one:

Given data

the distance you are standing from the building represent the adjacent =400ft

and the height of the building represents the opposite= 850ft

Step two:

Required is the angle of elevation

applying SOH CAH TOA

Tan ∅= opp/adj

Tan ∅= 850/400

Tan ∅=2.125

∅=Tan-1(2.125)

∅=64.8°

The angle of elevation 64.8°

You can use the fact that buildings are usually standing perpendicular to the ground and ground for smaller distance acts as if its a straight plane.

The measurement of angle of elevation is [tex]64.798^\circ[/tex]

What is angle of elevation?


What you see something higher than your eye level height, you need to see up, you elevate your head to see that thing. The angle from the straight horizontal level of eye to the current elevated level is measured and named as angle of elevation.

Similarly, there is angle of depression when the observer looks down.

See the figure attached below to understand the symbols used in calculations.

Since the building is 850 ft tall, we can assume that our height is almost 0 in comparison to this building (the angle deduced then will be approximately equal to the real angle).

Let you're standing on point O

Let the building's base is point A.

Let the top of the building is tagged as point E.

Then we have:

Length of OA = 400 ft.

Length of AE = 850 ft.

To find: angle AOE.

By using the trigonometric ratio tangent, we get:

[tex]tan(\angle AOE) = \dfrac{AE}{OA} = \dfrac{850}{400} = 2.125\\\\ m\angle AOE = arctan(2.125) = 64.798^\circ \text{\: (from calculator)}[/tex]

Thus, the measurement of angle of elevation is [tex]64.798^\circ[/tex]

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If 8x – 4 = 6x – 10, find the value of 3x.

Answers

Answer:

-9

Step-by-step explanation:

8x-4=6x-10

2x-4=-10

2x=-6

x=-3

-3x3= -9

Which is the largest 96.145, 96.2 or 96.19

Answers

Answer:

96.2

Step-by-step explanation:

set them as 96.145 96.200 96.190 then you will know 96.2 is the largest

Answer:

96.2

round all the numbers.. 96.145 --> 96.15, 96.2--> 96.2, 96.19-->96.2

A retailer sends scratch-off coupons to registered customers; 30% of the coupons will reveal a discount of 50%. Before mailing, a manager selects 10 coupons at random from the stack of printed coupons and scratches to reveal the discount.

What is the probability that none of the coupons reveal a discount of 50%?

Upper P (Upper X = k) = (StartBinomial n choose k EndBinomial) (p) Superscript k Baseline (1 minus p) Superscript n minus k

Round to 3 decimal places.

Answers

The probability that none of the coupons reveal a discount of 50% is 0.28.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Binomial distribution states that,

P = [tex]^nC_kp^k q^{n - k}[/tex]

Now,

30% of the coupons will reveal a discount of 50%.

This means,

p = 30% = 0.3

q = 70% = 0.7

Now,

Select 10 coupons:

n = 10

Now,

The probability that none of the coupons reveal a discount of 50%.

[ None means k = 0 ]

So,

P(k) = [tex]^nC_kp^k q^{n - k}[/tex]

P(0) = [tex]^{10}C_0(0.3)^0 (0.7)^{10 - 0}[/tex]

P(0) = 10 x 1 x 0.028

P(0) = 0.28

Thus,

The probability that none of the coupons reveal a discount of 50% is 0.28.

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Answer:

.028

Step-by-step explanation:

Edge 2023

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Answers

y=21/7

Explanation
7(y/7)=7(3/17)
y=7(3/17)
Multiple
y=21/7

Answer:

y = 21/17

Step-by-step explanation:

Can I have brainliest pls?

Help question below please and thank you i will give brainliest

Answers

Answer: angle V = 41 degrees  (choice B)

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

Explanation:

We're told that RS = ST = RT. This means triangle RST has all three sides equal to one another. This triangle is equilateral. Each interior angle is 60 degrees. This is because each angle is y, and y+y+y = 180.

Since each angle of triangle RST is 60 degrees, this means angle STR is 60 degrees.

Let z be the measure of angle UTV. Note how

(angleSTR)+(angleUTV) = 180

60+z = 180

z = 180-60

z = 120

Making angle UTV to be 120 degrees

------------------------------------

Now we can focus on triangle UTV since we have expressions for each interior angle

U = 4x-9T = 120V = 5x+6

Add up those angles, set the sum equal to 180, solve for x

U+T+V = 180

(4x-9)+(120)+(5x+6) = 180

9x+117 = 180

9x = 180-117

9x = 63

x = 63/9

x = 7

Use that x value to find the missing angle measures

angle U = 4x-9 = 4*7-9 = 28-9 = 19 degrees

angle V = 5x+6 = 5*7+6 = 35+6 = 41 degrees

Note how

U+T+V = 19+120+41 = 180

which helps confirm our answer.

Answer: angle V = 41 degrees  (choice B)

Step-by-step explanation: plz give brainliest

There are 3 girls taking swimming lessons and 6 boys. Write the ratio that compares the girls to the total number of students

Answers

Answer:

3:9

Step-by-step explanation:

Answer:

3:9

Step-by-step explanation:

hope this helps. if im wrong sorry.

Uhhh help please i cant do this rn im stuck

Answers

Answer:

i think its -2/1

slope= rise/run

identifying slopes pls help

Answers

Answer:

That is a negative slope

Step-by-step explanation:

Hope  this helps

ok I got it but I think im not sure plsss help!!!

Answers

Answer:

7 and 8: these are both proportional relationships because they grow at a constant rate of change

9: for every 40 miles that the car travels, it uses 2 gallons of gas.

10:  y= 20x

11: the graph would be steeper and have a greater rate of change. This car would be able to go farther on less fuel.

Solve for x. 2.5x=50

Answers

Answer:

x=20

Step-by-step explanation:

2.5x=50

[tex]\frac{2.5}{2.5} =\frac{50}{2.5}[/tex]

x = 20

Have a great day!!!!

PumpkinSpice1

the solution to the equation 2.5x = 50 is x = 20.

To solve the equation 2.5x = 50 and find the value of x, we can divide both sides of the equation by 2.5. By doing so, we eliminate the coefficient of x and isolate the variable.

Dividing both sides by 2.5, we have:

(2.5x) / 2.5 = 50 / 2.5

Simplifying, we get:

x = 20

Therefore, the solution to the equation 2.5x = 50 is x = 20. When we substitute x with 20 in the equation, we have 2.5 * 20, which indeed equals 50. Thus, x = 20 satisfies the equation, and it represents the value that makes the equation true.

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What equation represents the function?

Answers

Answer:

I think its B  the line is so going decreasing

Step-by-step explanation:

Choose the equation one must solve to answer the question.
0 = 0.0048(x – 50)2 + 6
10 = 0.0048(x – 50)2 + 6
y = 0.0048(10 – 50)2 + 6

Answers

Answer:

The second option is correct 10= 0.0048(x-50)2+6

Step-by-step explanation:

I just completed it.

Answer: b (10=...)

the next one is 21 and 79 ft

Carmen buys a car for $28,000. The vehicle depreciates by 16% each year. Which of the following is the common ratio representing the car's value every year?
0.84
1.16
1.84
0.16

Answers

Answer:

y+mx+6=5

Step-by-step explanation:

Which graph represents the solution set for the quadratic inequality x^2 + 2x + 1 > 0?


Answers

Answer:

The answer you selected is correct.

Step-by-step explanation:

The answer has to be greater than 0 so the bottom graph is correct.

The graph that represents the solution set for the quadratic inequality is option (C) is the correct answer.

What is an inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal. It is used most often to compare two numbers on the number line by their size.

For the given situation,

The quadratic inequality is x^2 + 2x + 1 > 0

[tex]x^2 + 2x + 1 > 0[/tex]

⇒ [tex](x+1)(x+1) > 0[/tex]

Plot this function on the graph as shown below.

From the graph, the function extends in both positive and negative direction at x = -1.

On number line, we can denote it as x = -1 and extends up to infinity on both sides.

Hence we can conclude that the graph that represents the solution set for the quadratic inequality is option (C) is the correct answer.

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Two pounds of grapes costs $6 as shown in the table. At this rate, how many pounds of grapes can you buy with $1? Round your answer to the nearest hundredth, and place a 0 in the ones place (such as 0.12). Need answers ASAP

Answers

well 1 pound should cost $3 so do the math lol

Write the equation of the line in point-slope form that has slope 3 and passes through (2, -5)

Answers

Answer:

y = 3x - 11      

Step-by-step explanation:

Step 1:

y = mx + b          Slope Intercept Form

Step 2:

y = 3x + b        Input Slope

Step 3:

- 5 = 3 ( 2 ) + b        Input x and y values

Step 4:

- 5 = 6 + b          Multiply

Step 5:

- 11 = b        Subtract 6 on both sides

Answer:

y = 3x - 11      

Hope This Helps :)

(A U B) U (A n B)
A= {1,3,7,9,10}
B={2,5,7,8,9,10}

Answers

Answer:

(A U B) = {1,2,3,5,7,8,9,10}

(A n B)= {7,9,10}

(A U B) U (A n B) = {1,2,3,5,7,8,9,10}

Step-by-step explanation:

yvonne began making beaded jewelry at home. After 2 months of advertising, costumes began to buy her jewelry. The graph shows the number of sales she made in the first 6 months.

Based on the graph, which stament is true

Answers

Answer:

i need the graph

Step-by-step explanation:

graph?

Write a linear function f with f(2)=−2 and f(1)=1.

Answers

Answer - the answer should be: -3x+4

down below is how i did it,

Step-by-step explanation:

use the formula mx+b=y

y is f(x)

m = -3

x = x

b = 4

so,

mx+b is -3x+4

A linear function is the function of a straight line.

The linear function is: [tex]\mathbf{f(x) = -3x + 4}[/tex]

The given parameters are:

[tex]\mathbf{f(2) =-2}[/tex]

[tex]\mathbf{f(1) =1}[/tex]

Calculate the slope (m)

[tex]\mathbf{m = \frac{f(b) - f(a)}{b -a}}[/tex]

So, we have:

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

[tex]\mathbf{m = \frac{-3}{1}}[/tex]

[tex]\mathbf{m = -3}[/tex]

The linear function is then calculated as:

[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]

This gives

[tex]\mathbf{y = -3(x - 1) + 1}[/tex]

[tex]\mathbf{y = -3x + 3 + 1}[/tex]

[tex]\mathbf{y = -3x + 4}[/tex]

Rewrite as:

[tex]\mathbf{f(x) = -3x + 4}[/tex]

Hence, the linear function is: [tex]\mathbf{f(x) = -3x + 4}[/tex]

Read more about linear functions at:

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(92)4 in scientific notation BIG POINTS I HAVE UNTIL MIDNIGHT PLS HELP


A.) 9^8


B.) 9^7


C.) 9^6

Answers

Answer:

A. 9^8

Step-by-step explanation:

multiply the exponents

a lines slope is 1/3 and its y intercept is -6, what is this equation in slope intercept form?

Answers

Answer:

y=1/3x-6

Step-by-step explanation:

Pls the real answer

Answers

Answer:

79.25 in.

Step-by-step explanation:

multiply 11 and 7.25 to get the actual size

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