Solve the system of equations by substitution.
x+y=32
y=7x

Answers

Answer 1

Answer:

x=4

Step-by-step explanation:

since y=7x

x+7x=32

8x=32

x=4

Answer 2

Answer:

x=4

Step-by-step explanation:

x+y=32

y=7x

Since Y can be replaced by 7x, substitute into eq1.

x+y( notice y can be replaced by 7x) =32

x+7x=32 ( Y got replaced

8x=32

Divide 8 on both sides.

x=4

Hope this helps plz hit the crown :D


Related Questions

If there are 129 apples and you take away 12, how many do you have now?

Answers

Answer:

117

Step-by-step explanation:

Answer: 129-12=117

Step-by-step explanation: 117 apples would be left.

The ratio of the number of boys to the number of girls in skateboard club is 5 to 4. There are 60 girls in skateboard club. How many boys are in skateboard club?

Answers

Answer:

boys:girls

5:4

?:60

multiply 15.

?=75 boys.

Hope it helps.

Answer:

Hello there.

5:4

75:60

Step-by-step explanation:

if 60/4=15, multiply 15 with 5.

your answer is 75.

Hope it helps, thank you.

I need help!!!!!!!!!!!!​

Answers

Answer:

NO they are not proportional

Step-by-step explanation:

52.3/3=62.45/5 Lets see if that is correct.

52.3/3 is  17.433333333

62.45/5 is 12.49.

No they are not the same

Hope this helps plz hit the crown :D

will mark brainliest if the answer is correct

Answers

Answer:

Kennedy will earn 21.7 dollars per hour.

The local authorities in a certain city install 10,000 electric lamps in the streets of the city. If these lamps have an average life of 1000 burning hours with a standard deviation of 200 hours, assuming normal distribution, what number of lights might expected

Answers

Step-by-step explanation:

It is given:

[tex]\mu=1000[/tex], [tex]\sigma=200[/tex]

Let x be the random variable that denotes the number of hours the lamp lights up.

what number of lights might expected to fail in the first 800 burning hours

Answer: We are required to find the expected number of lights to fail in the first 800 burning hours.

First, we have to find the probability as:

P(Z < 800)

Using the z-score formula, we have:

Using the z-score formula, we have:

[tex]P(x <800)=P \left(z<\frac{800-1000}{200} \right )[/tex]

=P(z<-1)

Now using the standard normal table, we have:

P(x<800)=P(z<-1)=0.1587

Therefore, the expected number of lights to fail in the first 800 burning hours is:

[tex]\boldsymbol{0.1587 \times 10000=1587}[/tex]

After how many burning hours 10% of the lamps would be still burning?

We first need to find the z-value corresponding to area = 1- 0.10 = 0.90. Using the standard normal table, we have:

z(0.90)=1.28

Now using the z-score formula, we have:

[tex]z= \frac{x-\mu}{\sigma}[/tex]

[tex]1.28= \frac{x-1000}{200}[/tex]

[tex]1.28 \times 200= x-1000[/tex]

[tex]256= x-1000[/tex]

x= 1000+256

[tex]\boldsymbol{x= 1256 }[/tex]

Using the Zscore principle, the number of bulbs expected to Fail in the first 800 burning hours is 1587

Given the Parameters :

σ = 200μ = 1000x = 800

The number of Lamps that might be expected to fail in the first 800 burning hours :

Recall:

Zscore = (x - μ) ÷ σ

Zscore = (800 - 1000) / 200 = -1

Using the normal distribution table :

P(Z < -1) = 0.15866

The number of bulbs expected to fail :

P × total number of bulbs

0.15866 × 10000 = 1586.6

Hence, 1587 bulbs are expected to fail in the first 800 burning hours.

Learn more : https://brainly.com/question/25226377

Pls help ASAP Explain why this mapping is or is not a function.

A. This is a function because every input maps to only one output

B. This is a function because every output maps only the input

C. This is not a function because more than on input maps to an output

D. This is not a function because more than one output maps the input

Answers

Answer:

correct answer is a

Step-by-step explanation:

its a function as long as every input has one output, 1 output can have any number of inputs

i choose d mb  i got it wrong

I need help please I have to finish this

Answers

x=40 y=34 both sides have to equal 180.


Find the missing angle.

Answers

Answer: 80

Step-by-step explanation:

Total amount in a triangle is 180

180 - 80 - 20 = 80

Find the slope of the line.
(6, 10)
3
(a, 8)
(4, b)
(2, 2)

Answers

Answer:161500

Step-by-step explanation:that's your  answer

Suppose that 7 in every 10 auto accidents involve a single vehicle. If 15 auto accidents are randomly selected, compute the probability that at most 4 of them involve a single vehicle.

Answers

Answer:

[tex]\mathbf{P(X \le 4 ) \simeq 0.0006722}[/tex]

Step-by-step explanation:

From the information given:

p = x/n

p = 7/10

p = 0.7

sample size n = 15

Suppose X be the number of accidents involved by a single-vehicle.

Then;

[tex]X \sim Binom (15,0.7)[/tex]

Thus, the required probability that at most  4 involve in a single-vehicle is

[tex]P(X\le 4) \\ \\P(X \le 4) = P(X = 0) + P(X =1 ) + ... + P(X = 4)[/tex]

[tex]P(X \le 4 ) = (^{15}_0) *0.7^0 *0.3^{15-0} + (^{15}_1) *0.7^1 *0.3^{15-1} + (^{15}_2) *0.7^2 *0.3^{15-2} + (^{15}_3) *0.7^3 *0.3^{15-3} + (^{15}_4) *0.7^4 *0.3^{15-4}[/tex]

[tex]P(X \le 4 ) = (\dfrac{15!}{0!(15-0)!}) *0.7^0 *0.3^{15-0} + (\dfrac{15!}{1!(15-1)!}) *0.7^1 *0.3^{15-1} + (\dfrac{15!}{2!(15-2)!}) *0.7^2 *0.3^{15-2} + (\dfrac{15!}{3!(15-3)!}) *0.7^3 *0.3^{15-3} + (\dfrac{15!}{4!(15-4)!}) *0.7^4 *0.3^{15-4}[/tex]

[tex]P(X \le 4 ) =1.4348907 \times 10^{-8} +5.02211745 \times 10^{-7} + 8.20279183 \times 10^{-6} + 8.29393397 \times 10^{-5} + 5.80575378 \times 10^{-4}[/tex]

[tex]P(X \le 4 ) =6.7223407 \times 10^{-4}[/tex]

[tex]\mathbf{P(X \le 4 ) \simeq 0.0006722}[/tex]

Suppose that the radius of a circle increases at a constant rate of 0.25 cm/sec. When the radius of this circle is 16 cm, the area of the circle increases at a rate of

Answers

Answer:

8πcm²/sec

Step-by-step explanation:

The radius of the circle increases at a rate of dr/dt = 0.25cm/sec

The radius of the circle r = 16cm

The area of the circle increases at a rate of dA/dt = ?

Area of a circle = πr²

We take the derivative with respect to t

dA/dt = 2πrdr/dt

dA/dt = 2 π (16)(0.25)

dA/dt = 8πcm²/sec

Thank you!!!

Answer:

8pi cm^2/sec

Step-by-step explanation:

took the unit test, also give other person brainliest, their answer was REALLY good.

QUICK PLS ASSESSMENT ENDS IN 30 mins

The lengths of nails produced by a machine are known to be distributed normally
with mean u mm and standard deviation 0.7 mm. The lengths, in mm, of a
random sample of 5 nails are 107.29, 106.56, 105.94, 106.99, 106.47.
Calculate the 80% confidence interval for u.

Answers

Answer:

69

Step-by-step explanation:

as a graded class activity, your teacher asks your class to reflect a triangle across the y-axis and then across the x-axis. Your classmate gets upset because he reversed the order of these reflections and thinks he will have to start over. What can you say to your classmate to help him?

Answers

Answer:

Both processes will yield same results and he need not worry

Step-by-step explanation:

Let us firstly check if we will have same results on both steps

y before x

Let us have the point (x,y) on the triangle

y reflection

(-x,y)

then x reflection

(-x,-y)

Let us now get the order in which my friend followed

x reflection

(x, -y)

y reflection

(-x,-y)

we can see that both processes have same results and thus, my friend need not worry

Answer:

The order of these two reflections  

does not

matter. The resulting image  

is

the same for a reflection in the y-axis followed by a reflection in the x-axis as for a reflection in the x-axis followed by a reflection in the y-axis.

Step-by-step explanation:



Paul is thinking of a number.
He says.
"My number is odd. It is a factor of 18 and a multiple of 3"
There are two possible numbers Paul can be thinking of
Write down these two numbers.​

Answers

The answer is 3 and 9.

The following are shoe sizes of a group of bowlers: 6.5 ,7 ,7 ,7 ,7.5, 8, 8.6, 8.5, 9, 9.6, 10.5, 11. What is the mean shoe size of the bowlers?
A. 8.5
B. 8.3
C. 8.7
D. 8.0​

Answers

Answer:

8.3

Step-by-step explanation:

Add all of the shoe sizes together then divide by how many shoe sizes there are and you will get your answer

Helppppppppppppppppp ASAP

Answers

Answer:

Option c - 2x + 1

Step-by-step explanation:

6x^2 - 10x +3x - 5

2x(3x-5) +1 (3x - 5)

(2x+1) (3x-5)

Option C your welcome

PLEASE HELP!! AND SHOW WORK PLEASE!!

Answers

Answer:

keeping an eye on graph

Step-by-step explanation:

its answer will be

total price for 12.5 pound of rice=$32.5

dont mind this question

Answers

Answer:

hello, there.

Step-by-step explanation:

General kanobi

When reaching mile marker 7 on a trail, Natalie uses her GPS to find that her current elevation is 6350 feet. If she follows the trail until its end at mile marker 12, her elevation will be 8720 feet. What is the average change in elevation of Natalie’s position from mile marker 7 to mile marker 12, in feet per mile marker?

Answers

Find the difference in elevations:

8720 - 6350 = 2370 feet.

Difference in mile markers: 12-7 = 5

Average change = feet / markers

2370/5 = 474

The answer is 474 feet

What is the probability of the outcome being an A?

Answers

Answer:

The probability of the outcome being an A is 1/2.

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] probability of the outcome being an A, option D.

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

A probability is the number of desired outcomes divided by the number of total outcomes.

The spinner is divided into 8 regions, thus, there are 8 total outcomes.4 of those regions are A, so there are 4 desired outcomes.

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

The probability of the outcome being an A is:

[tex]p = \frac{4}{8} = \frac{1}{2}[/tex]

Thus:

[tex]\frac{1}{2}[/tex] probability of the outcome being an A, option D.

A similar problem is found at https://brainly.com/question/16069806

Please helppppppppppppp me

Answers

Answer:

with what?

Step-by-step explanation:


The elves and reindeer are getting ready for a meeting with Santa.
So far 14 of them have arrived.
If they have 38 legs between them, how many reindeer are at the meeting and how many elves are at the meeting?

Answers

Let [tex]e[/tex] and [tex]r[/tex] be the number of elves and reindeers, respectively.

We know that:

[tex]r+e=14[/tex] (so far 14 of them have arrived)

[tex]4r+2e = 38[/tex](each reindeer has 4 legs and each elf has two)

If we multiply the first equation by 2 we have [tex]2r+2e=28[/tex], and if we subtract this equation from the second we have [tex]2r=10[/tex] which implies [tex]r=5[/tex].

So, there are 5 reindeers and 9 elves (remember that they have to sum up to 14).

The number of reindeers is 5 and the number of elves is 9.

Two equations can be derived from the equation:

e + r = 14 equation 1

2e + 4r = 38 equation 2

Where:

e = number of elves at the meeting

r = number of reindeers at the meeting

In order to determine the value of r, multiply equation 1 by 2.

2e + 2r = 28 equation 3

Subtract equation 3 from 2

2r = 10

Divide both sides of the equation by 2

r = 5

To solve for e substitute for r in equation 1

5 + e = 14

e = 14 - 5

e = 9

A similar question was answered here: brainly.com/question/23589883?referrer=

I need help with this :(

Answers

‍♀️‍♀️‍♀️‍♀️‍♀️‍♀️‍♀️‍♀️

Answer:

The sum of the areas of square N and square L is equal to the area of square K

i need help with #1 10 points

Answers

Answer:

No it is not proportional

Step-by-step explanation:

You cant multiply each of the inputs by a constant number to get the output.

There is only 2 of them that you can, but the other 2 no. And you want he whole table so you need all of the inputs not just some. So no, its not proportional.

Hope this helped!

4.23m 4.27m 3.98m his longest jump was how much longer compared to his shortest jump

Answers

Answer:

.29

Step-by-step explanation: Subtract first by last

Answer:

0.29m longer

Step-by-step explanation:

Longest jump = 4.27m

Shortest jump = 3.98m

4.27 - 3.98 = 0.29m

Any help please thank you I appreciate it

Answers

Answer:

x=33

Step-by-step explanation:

The angles have to add up to 180, so you get:

2x - 18 + 4x = 180

6x = 180 + 18

x = 198/6

x = 33

50mgs for every 60lbs how much mgs for 110 lbs

Answers

Answer:

would it be 40?

Step-by-step explanation:

Answer:

The answer is either 1.0022727272727274, 40, or 1.8375000000000001.

Hope this helps, have a wonderful day/night, stay safe, happy holidays, and merry christmas!

Is 3x + 4 proportional? Explain.

Answers

Answer:

Since it is a linear function, it is a directly proportional function

Step-by-step explanation:

i looked it up

9514 1404 393

Answer:

  no

Step-by-step explanation:

An equation representing a proportional relationship looks like ...

  y = kx

where k is the constant of proportionality. A notable feature of this equation is that its y-intercept is zero.

Your expression has a y-intercept of +4, so does not represent a proportion.

_____

Additional comment

Strictly speaking, a proportion is a statement of equality of two ratios. An expression cannot be a proportion. We interpreted your question to be ...

  does y = 3x+4 express a proportional relationship?

[tex]\\ \leq \beta \alpha \alpha[/tex]

Answers

Hi lol I don’t understand you’re question I need more context

Solve the equation
[tex]-6 = x/8 + 4[/tex]

Answers

Answer:

You want to isolate for x -6= x/8+4

Subtract 4

-10=1/8* x

Divide by 1/8

x= -80

Please rate positively and give brainlist!

Answer:

x = -80

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

-6 = x/8 + 4

Step 2: Solve for x

Subtract 4 on both sides:                    -10 = x/8Multiply 8 on both sides:                     -80 = xRewrite:                                                x = -80
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