A square has a side length of 6x+2. a rectangle with width 3x+1 has the same area as the square. what is the length of the rectangle?

Answers

Answer 1

Answer:

2

Step-by-step explanation:

(6x+2)/(3x+1) = 2


Related Questions

a cube with side lengths s has a volume of 64 cubic units. what is the length of the side of the cube?

Answers

Answer:

4 units

Step-by-step explanation:

volume of cube = 64 cubic units

[tex] \therefore \: {s}^{3} = 64 \\ \\ \therefore \: {s}^{3} = {4}^{3} \\ \\ \therefore \: {s}= {4} \: units [/tex]

Figure B is a Scaled Copy of Figure A. What is the scale factor from Figure A to Figure B? *

Answers

So B is 6x bigger than figure A and A is only half the size of B

Answer:

3

Step-by-step explanation:

A catering business specializes in catering wedding receptions. They charge $400 for setting up the buffet and an additional $7.50 per guest. Mr. and Mrs. Smith want to spend no more than $1600 on the catering. Write and solve an inequality to determine the number of guests that can be invited to the reception.​

Answers

Answer:

x<=160

Step-by-step explanation:

Step one:

given data

Charges= $400

Additional charges= $7.5 per guest

let the number of guests be x

let the total cost be y

the model for the situation is given as

y=mx+C

Step two:

given that y=1600

we can solve for x as

1600=7.5x+400

1600-400=7.5x

1200=7.5x

divide both sides by 7.5 we have

x=1200/7.5

x=160

Therefore the expected guest should not be more than 160

x<=160

n-6= -2
One step equations

Answers

What are they asking for?

Answer:

4

Step-by-step explanation:

Tell whether the root of the word below is locked or free,
madness
1.locked
2.free
Help me please

Answers

Answer:

free

Step-by-step explanation:

Which expression is equivalent to 46.4-8?
A 1 over 4 to the power of 2 B 1 over 4 to the power of 1 C 4 to the power of 2 d 4 to the power of 14

Answers

[tex] {4}^{6} \times {4}^{ - 8} = {4}^{6 - 8} = {4}^{ - 2} = \frac{1}{ {4}^{2} } \\ [/tex]

So the correct answer is (( a )) .

Done.....♥️♥️♥️♥️♥️

You drive 14.4 miles. How many feet is that?

Answers

Answer:

76032

Step-by-step explanation:

Answer:

76032

Step-by-step explanation:

There are 5280 in one mile.

5280 x 14.4 = 76032

can someone answer this and maybe explain it?

Answers

Answer:

yea what he said..........

Show your work on the multiplication please

Answers

Answer:

Daniel has 6,174 pokemon cards:)

We know this because 18 x 343 is 6,174.

(Hope this helps)

Ava has a total of 116 cards ALL together because 18p+98c

So if we want to figure out how many cards Daniel has, you will do 343×18.

So that equals 6174, and if you want to divide it to be sure, 6174÷343 is 18.

So Daniel has 6174 cards, 343 times the amount of cards Ava has.

what is the volume of this cylinder?
r=5 cm
12cm

Answers

Answer:

V = 300π or 942.477

Step-by-step explanation:

Volume of a cylinder= π*r^2*h

Plug in.

V = π*5^2*12

V= π*25*12

V = 300π or 942.477

round to the nearst tenth if needed 55.2 divided by 46​

Answers

Answer:

1.2 is the correct answer when you divide 55.2 by 46

Step-by-step explanation:

1. Complete the statements to describe ratios.
A ratio is a
of two quantities.
A ratio can be expressed as a
description, with a
or as a

Answers

Answer:

whats the question you need to answer this

What is the measure of ∠AOB?
90°
80°
180°
40°

Answers

Answer:

ok I think 40 degrees is alternate to a1° then I think that all the angles are right angled because of their shape so I think it's 90°

Answer:

90

Step-by-step explanation:

i just took the quiz

PLEASE HELP MEEEEEE I WILL GIVE ALOT OF BRAINLIST

Answers

Answer:

with what

Step-by-step explanation:

we cant help u if we dont onow what it is

Answer:

How do i help?

Step-by-step explanation:

help me with this geooo

Answers

Answer:

If angle A is not acute, then the m angle A is not equal to 20

(3rd choice)

Olive Garden Restaurant has a waiter to cook ratio of 5 to 4. The total number of servers and cooks is 63. How many waiters does the Olive Garden have employ?

Answers

Answer:

35

Step-by-step explanation:

Waiter:cook

5:4

5+4=9

63/9=7

7*5=35

63-35=28

35:28 = 5:4

1. A bag of apples at HEB costs $2.49 for 6 apples. What is the price per apple.

Answers

Answer:

$0.42 per apple

Step-by-step explanation:

$0.42 per apple hope that helps

i need this asap please and i’ll give you brainliest

Find an equation for the line below:

Answers

the slope will be positive cuz the line goes / as it goes right.

rise/run = slope

slope = 6/4 = 3/2

y = 3/2 + b

b is the y intercept

y = 3/2x - 3.5

hope this helps

Write the following equation in vertex form by completing the square.
f(x) = -x2 – 8x +5

Answers

Answer:

the vertex form is -1(x+4)-11

Step-by-step explanation:

i attached my work

URGENT: WILL MARK BRAINLIEST

Answers

Answer:wait 15 min then I will have thee answer

Step-by-step explanation:

100 PIONTS AND BRAINLIEST

the question is in the following snip

Answers

Answer: C

Step-by-step explanation:

If you brake down 12 into 4s it is four 3's

12= 3,3,3,3

so now we know a comic is 3$ so he can buy 4 comics for the price of one book

now divide 84 by 12 = 7

so 3 books and 16 comics

if AB=n87 BC=46 x 6 and AC=n92-182 what is n

Answers

Answer:

54v43jn-tjd

Step-by-step explanation:

ruxulc

cufy

f gf

f cvhjiy g

fhg k

=54v43jn-tjd

I need help on how to find the radius

Answers

Answer:

7

Step-by-step explanation:

the radius is just half of that!

F(x)=2x+3 and g(x)=3x-2 find f(g(x))

Answers

Answer:

f(g(x))=6x-1

Step-by-step explanation:

Replace all x's in f(x) with g(x):

f(g(x))=2(3x-2)+3 = 6x-4+3=6x-1

Help Me pleasee i dont understand

Answers

To find slope on the graph you use rise/run like #1 you go up 3 and across 2 so it’s 3/2 and positive because the line is going up if it were going going down it’s a negative slope…now to find it with the formula it says it right there y2-y1 over x2-x1 for example 14-10 over -7-8 and simplify if you can…on the table you will do the same as you did with the formula on #15 you will use the formula like this 2-5 over -2+3 because we all know when you subtract a negative with a negative you’re basically adding them together

How do you write 8,560 in scientific notation?

Answers

Answer:

8.56 × 103

Step-by-step explanation:

Answer:

8.56 × 10³

I hope this helps!

654x67
Quien me ayuda please

Answers

the answer is 43,818

Answer: 43818

Step-by-step explanation:

¡Esta es la respuesta, espero que haya ayudado!

A if AB is a segment in the plane and CD is a segment on the plane of the same length, then AB is congruent to CD Do you believe the claim is true? When explaining your thinking , if you believe the claim is true, then try to prove it by using the definition of congruent . If you believe the claim is false , then try to provide a counterexample in which the " " part (hypothesis ) is true , but the "then " part ( conclusion ) is false , you have disproved the claim .

Answers

Answer:

this claim is true because 2 lines can be confruent if they have the same length.

Step-by-step explanation:

The statement is true.

What is Collinear lines?

Three or more points  are said to be collinear if they lie on a single straight line. A line on which points lie, especially if it is related to a geometric figure such as a triangle, is sometimes called an axis. Two points are trivially collinear since two points determine a line.

So, using the concept of collinear line and translation we have

A translation is a type of transformation that moves each point in a figure the same distance in the same direction.

So, the line is congruent.

Learn more about collinear points here:

https://brainly.com/question/1593959

#SPJ2

9. During the past week, Mr. Hamilton gave one quiz and one exam to his high school algebra class.
It takes Mr. Hamilton of an hour to grade one student's exam and of an hour to grade one
student's quiz. If x represents the number of students that took the quiz and exam, which
equation below could be used to find the y, the total amount of time, in hours, spent grading?
a) y = 6x
b) y = -X
45
c) y = -x
101
d) y = x

Answers

Missing Information:

It takes Mr. Hamilton 1/15  of an hour to grade one student’s exam and 1/30  of an hour to grade one  student’s quiz.

Answer:

[tex]Total\ Time = \frac{x}{10}[/tex]

Step-by-step explanation:

Given

[tex]Exam = \frac{1}{15}hr[/tex]

[tex]Quiz = \frac{1}{30}hr[/tex]

Required

Determine the time spent on x students

First, we need to determine the total time spent on 1 student

[tex]Time = Exam + Quiz[/tex]

[tex]Time = \frac{1}{15} + \frac{1}{30}[/tex]

Take LCM

[tex]Time = \frac{2 + 1}{30}[/tex]

[tex]Time = \frac{3}{30}[/tex]

[tex]Time = \frac{1}{10}[/tex]

Next is to determine the total time on x students:

[tex]Total\ Time = \frac{1}{10} * x[/tex]

[tex]Total\ Time = \frac{x}{10}[/tex]

Analyze the diagram below and complete the instructions that follow.

Find the value of x and the value of y.
A. X= 23.y=413
B. 1 = 3, y = 613
C. = 6/3, y = 12
D. x= 23, y = 6

Answers

Answer:

x = [tex]2\sqrt{3}[/tex] , y = [tex]4\sqrt{3}[/tex] ⇒ A

Step-by-step explanation:

In the 30°-60°-90° triangle, there is a ratio between its three sides

The length of the side opposite to the angle of measure 30° is half the length of the hypotenuseThe length of the side opposite to the angle of measure 60° is half the length of the hypotenuse times [tex]\sqrt{3}[/tex]

→  30°  :  60°  :  90°

→  1      :   [tex]\sqrt{3}[/tex]  :   2

In the given figure

∵ The length of the hypotenuse is y

∵ The length of the side opposite to the angle of measure 30° is x

∵ The length of the side opposite to the angle of measure 60° is 6

→ By using the ratio above

→  30°  :  60°  :  90°

→  1      :   [tex]\sqrt{3}[/tex]  :   2

→  x      :   6    :   y

→ By using cross multiplication

∵ x × [tex]\sqrt{3}[/tex] = 1 × 6

∴ x [tex]\sqrt{3}[/tex]  = 6

→ Divide both sides by [tex]\sqrt{3}[/tex]

∴ x = [tex]\frac{6}{\sqrt{3}}[/tex]

→ Simplify it by multiplying up and down by [tex]\sqrt{3}[/tex]

∴ x = [tex]\frac{6\sqrt{3}}{3}=2\sqrt{3}[/tex]

x = [tex]2\sqrt{3}[/tex]

∵ y × [tex]\sqrt{3}[/tex] = 6 × 2

∴ y [tex]\sqrt{3}[/tex]  = 12

→ Divide both sides by [tex]\sqrt{3}[/tex]

∴ y = [tex]\frac{12}{\sqrt{3}}[/tex]

→ Simplify it by multiplying up and down by [tex]\sqrt{3}[/tex]

∴ y = [tex]\frac{12\sqrt{3}}{3}=4\sqrt{3}[/tex]

y = [tex]4\sqrt{3}[/tex]

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