If y=x+4 and y=3x+2, what must be true about x + 4 and 3x+2?

Answers

Answer 1

Answer:

x=1 must satisfy both equations.

Step-by-step explanation:

1)Y=X+4

2)Y=3X+2

IT Means x+4=3x+2

3x-x=4-2;

2x=2 ;  x=1 must satisfy both equations


Related Questions

Whats 6 1/2 - 5 5/6 plz help thx

Answers

Answer:

2/3

Step-by-step explanation:

1/2 = 3/6

6 - 5 = 1

1 3/6 - 5/6 = 4/6

4/6 = 2/3

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

Answer:

Answer is -1.666

Step-by-step explanation:

6*1/2=3

5*5/6=4.1666

cuanto es 8/9 x 15/16? porfaAa estoy en prueba

Answers

Answer:

=5/6

Step-by-step explanation:

happy to help ya :)

The following system of inequalities shows the relationship between two numbers, where the value of x is less than the value of y,
and both numbers are integers.


Which solution is valid within the context of the situation?

Answers

Answer:

(-1,5)

Step-by-step explanation:

An antique chair was purchased in the year 2013 for $500. At the time of purchase, an appraiser estimated that the value would increase by 10% per year. According to the appraiser's estimate about the value of the chairwhich statements are true?

Select ALL that apply

A. Alinear model provides the best of the estimated values.

B. The value will increase by 30% in the first 3 years.

C. After 2 yearsthe value will be $605.

D. The rate of change of the value will decrease over time

E.The value will increase by $50 in the first year

Answers

Answer:

C and E

.................

The true statements are (C) After [tex]2[/tex] years the value will be $[tex]605[/tex]  and (E) The value will increase by $[tex]50[/tex] in the first year.

Compound Interest:

Compound interest (or compounding interest) is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.

In the first year, the value[tex]=[/tex] $[tex]500+500\times \frac{10}{100}[/tex]

                                         [tex]=500\left ( 1+\frac{10}{100} \right ) \\ =\left ( 500\times 1.1 \right )[/tex]

                                         [tex]=[/tex]$[tex]550[/tex]

Change in price=$[tex]50[/tex]

After 2 years, the price is=$[tex]550+[/tex]$[tex]550 \times\frac{10}{100}[/tex]

                                         =$[tex]550\times(1+\frac{10}{100} )[/tex]

                                         =$[tex]550\times(1.1)[/tex]

                                         =$[tex]605[/tex]

After 3 years, the price=$[tex]605+605\times\frac{10}{100}[/tex]

                                      [tex]=605(1+\frac{10}{100} )[/tex]

                                      [tex]=(605\times1.1)[/tex]

                                      [tex]=[/tex]$[tex]665.5[/tex]

Rate of change[tex]=\frac{(665.5-500)}{500} \times100[/tex]%

                        [tex]=\frac{165.5}{5}[/tex]%

                        [tex]=33.1[/tex]%

                        [tex]\neq 30%[/tex]%

According to the problem, an exponential pt model provides the best fit.

Therefore, the true statements are an option C and E.

Learn more about the topic Compound Interest: https://brainly.com/question/26574136

Write the fraction 1/5 as a percent.

Answers

Answer:

20%

Step-by-step explanation:

In ΔJKL, j = 520 inches, k = 730 inches and l=640 inches. Find the measure of ∠K to the nearest degree.

Answers

Answer:

It’s 56.7

Step-by-step explanation:

Fudisks

You are at a restaurant and the check comes to a total of $20. If you want to leave a 20% tip, how much total money should you pay, to the nearest cent?

Answers

Answer:

the total tip should be $24.00

The workers' union at a particular university is quite strong. About 96% of all workers employed by the university belong to the workers' union. Recently, the workers went on strike, and now a local TV station plans to interview workers (chosen at random) at the university to get their opinions on the strike. What is the probability that exactly of the workers interviewed are union members

Answers

Answer:

The probability that exaclt x of the members are union members from the n interviewed is given by:

[tex]P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}[/tex]

Step-by-step explanation:

For each worker, there are only two possible outcomes. Either they are union members, or they are not. Members are independent of other members. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

About 96% of all workers employed by the university belong to the workers' union.

This means that [tex]p = 0.96[/tex]

What is the probability that exactly of the workers interviewed are union members

We want probability of x, from n workers interviewed. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}[/tex]

The original cost is $25. The item has a discount of 20% off. What is the discount amount?

Answers

Answer:20 dollars.

not sure

Step-by-step explanation:

students recorded the total number of pages and chapters in each of several books on the scatterplot. Based on the sbcatterplot, which is the best prediction of the number of chapters in a book with 200 pages

Answers

Answer:

7

Step-by-step explanation:

Answer: 7

Step-by-step explanation:

Triangle Theorems helppppppp

Answers

Answer and Step-by-step explanation:

Answer is in picture.

The angles of a triangle add up to 180.

There are TWO 9x + 1 because they are the base angle pairs.

I hope this helps!!

#teamtrees #PAW (Plant And Water)

Which of the following is NOT a requirement of the Combinations​ Rule, ​, for items that are all​ different? Choose the correct answer below. A. That order is taken into account​ (consider rearrangements of the same items to be different​ sequences). B. That r of the n items are selected​ (without replacement). C. That there be n different items available. D. That order is not taken into account​ (consider rearrangements of the same items to be the​ same).

Answers

Answer: A. That order is taken into account​ (consider rearrangements of the same items to be different​ sequences).

Step-by-step explanation:

The combination is usually given by the formula below:

C n,x = n! / x! (n-x)!

We should note that the requirements for a combination rule include:

• That r of the n items are selected​ (without replacement).

• That there be n different items available.

• That order is not taken into account​ (consider rearrangements of the same items to be the​ same).

Therefore, the option that is not a requirement of the Combinations​ Rule, ​, for the items that are all​ different will then be option A"That order is taken into account​ (consider rearrangements of the same items to be different​ sequences).

100 points need help for unit test please!!! don't answer if you don't know
question attached

Answers

To find the x-intercept, substitute in 0 for y and solve for x.

To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): (4,0)

y-intercept(s): (0,−28/5)

Please Mark brainliest and I hope this helps! :D

Answer:

Solution given:

when

(-3,-2)

in equation;

7×-3-5×-2=28

-11≠28(not satisfied)

when

(-2,-3)

equation will be

7×-2+5×3=28

1≠28(not satisfied)

when

(0,4)

equation will be:

7×0-5×4=28

-20≠28

(not satisfied)

when

(4,0).equation will be

7×4-5×0=28

28=28(satisfied)

so

(4,0) is a required answer.

what is ( 5 x 1 ) + ( 5 x 1/3)

Answers

Answer:

The answer is 20/3

Step-by-step explanation:

(5 x 1 ) + ( 5 x 1/3)

5 + ( 5 × 1/3 )

5 + 5/3 = 20/3

I WILL GIVE BRAINLYIST TO WHOEVER ANSWERS!!A toddler is playing with his toys in the bathtub. He is using a toy shaped like a rectangular prism, filling it with water to
the top, and filling his other toys to overflowing.
2 in.
Rectangular prism toy:
3 in.
5 in.
a. What is the volume of the rectangular prism toy?
in
b. What formula did you use to calculate your answer? V =
C. How many times will he need to fill the rectangular prism toy to overflow this cylindrical toy with a diameter of
5.2 inches and a height of 4 inches?
times

Answers

Answer:

A) 30 in³

B) V=lwh (or) V+5x3x2

C) 3 times

Step-by-step explanation:

A) 30in³

B) V=LWH (or) V+5x3x2

C) V=[tex]\pi[/tex]r²h = [tex]\pi[/tex](2.6²)(4) = 84.94867

85.94867÷30= 2.83, so he’d need to fill the rectangular prism 3 times.

Answer:

a. 30 in³

b. V = whl

c. 3 times

Step-by-step explanation:

a. v = whl

V = (3 in)(2 in)(5 in)

V= 30 in³

b. V = whl

c. Volume of the cylinder = pi(r²)h            r = d/2 = 5.2 / 2 = 2.6

Vc = pi (2.6²)(4)

Vc ≈ 84.94 in³

84.94 in³/30 in³ ≈ 3 times

Find the distance between P and Q. P(-3, -4), Q(6, -7)

Answers

Answer:

Please find attached pdf

Step-by-step explanation:

Step-by-step explanation:

P=(-3,-4)=(X1,Y1)

Q=(6,-7)=(X2,Y2)

Pq=root under( x2-x1)^2+(y2-y1)^2

= root under {6-(-3)}^2+{-7-(-4)}^2

= {6+3}^2+{-7+4}^2

= 9^2+(-3)^2

= 81+9

= 90

= 3root under10 unit.#

A mixture of nuts contains 1 cup of walnuts for every 3 cups of peanuts write a linear equation that represents the relationships between penuts,x, and walnuts,y, Graph the line

Answers

Answer:

surfaces curving inward, so it makes parallel light rays curve outward or diverge. That's why concave lenses are sometimes called diverging lenses. ... The distance from the center of the lens to the focal point is, again, the focal length of the lens.

Step-by-step explanation:

The “Chippy” brand of chips cost $2.30 per bag. The “Crunchy Goodness” chips cost $6.30 for 3 bags of chips. Which bag has a lower unit price?

Answers

Answer: The chippy brand

Step-by-step explanation: Since 3 bags for the crunchy goodness is 6.30 dollars, we don;t need to worry about that. SO, lets see how much money is 3 bags from the chippy brand.

2.30 x 3 = 6.90

Chippy: $6.90

Crunchy Goodness: $6.30

Now that we compared the Chip brans, its obvious that crunchy goodness is cheaper

Answer:

The crunchy goodness chips.

Step-by-step explanation:

If the crunchy goodness chips cost $6.30 for 3 bags and the chippy chips cost $2.30 for each bag, you do $2.30 times 3. That equals 6.90. So, $6.30 is less than $6.90 meaning that crunchy goodness chips have a lower price.

C = ?
when d = 25 m.
(C = circumference)
(d = diameter)

Answers

Answer:

12.5m

Step-by-step explanation:

I don't wanna type it lmco (laughing my cheeks off)

I Question 7 (2 of 13)
Find area of shaded region. Round to the nearest tenth.
50 cm
radius: 20 cm
80 cm
Enter your answer by clicking the bubbles.

Answers

Method:
Area of trapezium - Area of a half circle

Trapezium = 40(50+80) divided by 2

= 2600

Half circle = 1/2 x pi x 20^2

= 628.3185....
~ 628.3

2600 - 628.3 = 1971.7 cm^2

Hope this helps!!



The captain of the basketball team wants to determine where the team should go for their end-of-season celebration. Which of the following is a representative sample? Select all that apply.
A.


The students in her homeroom
B.


Players whose names are randomly selected from a hat
C.


The players in the starting lineup
D.


All players over 5 feet tall
E.


Every 5th player selected from an alphabetical roster of the team

Answers

The answer is c . Players whose names are randomly selected from a hat

The representative samples are Players whose names are randomly selected from a hat and Every 5th player selected from an alphabetical roster of the team. (Option B and E).

What is Representative Sample?

A representative sample is a subset of a larger population that accurately reflects the characteristics, diversity, and distribution of the entire population. When conducting research or making decisions based on data, it is often impractical or impossible to collect information from every individual in the population. Instead, researchers or decision-makers select a representative sample to draw conclusions or make inferences about the entire population.

For a sample to be considered representative, it should be selected in a way that ensures each member of the population has an equal or proportional chance of being included. In the given problem, both options provide a fair chance for each team member to be included in the selection for the end-of-season celebration destination.

Learn more about representative sample here: https://brainly.com/question/30490266

#SPJ2

00:00 A florist measures the lengths of roses. The lengths in inches of a dozen roses are given below. 13.5 13.5 13.25 13.0 13.25 13.5 13.0 13.25 13.0 13.25 12.75 12.75 Part A How many dots should go above each data value in the line plot? Type a number in each box. Lengths of Roses (inches) 12.75 13.0 13.25 13.5 13.75 14.0 dot(s) above 12.75 dot(s) above 13.0 Review progress Question 7 of С​

Answers

Answer:

2: 12.75

3: 13.0

4: 13.25

3: 13.5

0: 13.75

0: 14.0

HELP HELP HELP!!! NUMBER 3 PLEASE!!!

Answers

Answer:

see the attachment, answers there

A square pyramid has a base with a side length of 6 inches and lateral faces with heights of 11 inches. What is the surface area of the pyramid?

Answers

Answer:

[tex]\huge\boxed{\sf 168\ in.\²}[/tex]

Step-by-step explanation:

Surface area of the base:

= Length * Length

= 6 * 6

= 36 in.²

Surface Area of 1 Lateral Face:

= [tex]\sf \frac{1}{2} (Base * Height)[/tex]

Base = 6 inches

Height = 11 inches

= 1/2 (6*11)

= 3 * 11

= 33 in.²

Surface Area of 4 lateral faces:

= 33 * 4

= 132 in.²

Surface Area of the whole pyramid:

= 132 + 36

= 168 in.²

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Answer:

SA = 168 in.²

Step-by-step explanation:

The surface area is the sum of the area of the base and the areas of the 4 congruent triangular sides.

s = side of the base

h = height of each side

SA = s² + 4(sh/2)

SA = (6 in.)² + 4(6 in.)(11 in.)/2

SA = 36 in.² + 132 in.²

SA = 168 in.²

The difference between one-third of a number and 11 is 10 in number form

Answers

1/3n - 11 = 10
1/3n = 21
n= 21x 3
n = 63

Answer:

63

Step-by-step explanation:

The difference between one-third of a number and 11 is 10. x = 3*21, x = 63.

Question 4 (1 point) The half life of Cs-137 is 30.2 years. If the initial mass of the sample is 100kg, how much will remain after 151 years? Leave your answer as a decimal and do not round, Answer = kg Blank 1:​

Answers

Answer:

3.12 kg.

Step-by-step explanation:

Mass after t years:

The mass of the elements after t years is given by the following equation:

[tex]M(t) = M(0)(1-r)^t[/tex]

In which M(0) is the initial mass and r is the decay rate, as a decimal.

The half life of Cs-137 is 30.2 years.

This means that:

[tex]M(30.2) = 0.5M(0)[/tex]

We use this to find r.

[tex]M(t) = M(0)(1-r)^t[/tex]

[tex]0.5 = M(0)(1-r)^{30.2}[/tex]

[tex](1-r)^{30.2} = 0.5[/tex]

[tex]\sqrt[30.2]{(1-r)^{30.2}} = \sqrt[30.2]{0.5}[/tex]

[tex]1 - r = 0.5^{\frac{1}{30.2}}[/tex]

[tex]1 - r = 0.9773[/tex]

So

[tex]M(t) = M(0)(0.9773)^{t}[/tex]

If the initial mass of the sample is 100kg, how much will remain after 151 years?

This is M(151), with M(0) = 100. So

[tex]M(t) = 100(0.9773)^{t}[/tex]

[tex]M(151) = 100(0.9773)^{151} = 3.12[/tex]

The answer is 3.12 kg.

The population of cats that are rescued every year is currently 50,000 and declines at a rate of 1.2% every year. This models

Answers

Answer:

Exponential decay

Which sum is equivalent to 3/5 + 1/6?
A 6/10+2/10

B 12/30+5/30

C 18/30+5/30

D 3/11+4/11

Answers

Answer:

C 18/30+5/30

Step-by-step explanation:

Fractions scare me but I try

First we need to find the sum of 3/5 and 1/6

To do that we turn the denominators into common denominators.

[tex] \frac{18}{30} + \frac{5}{30} [/tex]

then we just add

[tex] \frac{18}{30} + \frac{5}{30} = \frac{23}{30} [/tex]

hope this makes sense

What is a measurement 90 degrees called

Answers

It would be a right angle

Answer:

A right angle.

Step-by-step explanation:

Hope this helps! Have a great rest of your day!

A small bucket holds 75% as much as a large bucket.If the small holds 36 units,how much does the large hold?​

Answers

Answer:

48

Explanation:

36÷75=

0.48

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