The sum of the length and width of a rectangle is more than 15 units. The length is 3 units more than the width, x. Which model and solution is correct for this situation?

Answers

Answer 1

Answer: [tex]6, 9\ \text{units}[/tex]

Step-by-step explanation:

Given

The Sum of length and width is [tex]15\ units[/tex]

length is 3 units more than the width

width is [tex]x[/tex]

length is [tex]x+3[/tex]

Their sum is 15

[tex]\Rightarrow x+x+3=15\\\Rightarrow 2x=12\\\Rightarrow x=6\ \text{units}[/tex]

Length is [tex]x+3=9\ \text{units}[/tex]

Width is  [tex]x=6\ \text{units}[/tex]


Related Questions

If the buses run on schedule, when is the next time a red line and a blue line bus will leave together? Show your work.

Answers

Answer:

So the next time they will leave together is 4:24 pm

Step-by-step explanation:

Since both the buses left at 4 pm and red line bus leaves every 6minutes and blue line bus leaves every 8 minutes they next time they leave together can be found by taking the L.C. M of 6 and 8.

The L.C. M is found by multiplying all the factors and chosing one which common in both numbers.

Factors of 6 = 2*3

Factors of 8= 2*2*2

In these numbers 2 is common in both.The rest of the numbers( 2*2*3 )are multiplied with the the common 2 to get the L.C.M

L.C.M= 2*2*2*3= 24 minutes

So the next time they will leave together is 4:24 pm

-2.5d ≥ 30
10-x ≤35
Please help thanks!

Answers

Answer:

1) d ≤ -12

2) x ≥ -25

Step-by-step explanation:

-2.5d ≥ 30

2.5d ≤ -30

d ≤ -12

10 - x ≤ 35

-x ≤ 25

x ≥ -25

Aaron wants to buy sod for his backyard. What is the amount of area he will need to cover? A)14in B)16in C)45.9 in D) 29.9in

Answers

Answer:

29.9 inches squared

Step-by-step explanation:

I just took this and got the answer right!!

find value of X in cos(3x-30°)=sin(7x+50°)​

Answers

Answer:

7

Step-by-step explanation:

Given the expression

cos(3x-30°)=sin(7x+50°)

In trigonometry cosx = sin(90-x)

Hence

Cos(3x-30) = sin(90-(3x-30))

Cos (3x-30) = sin(90-3x+30)

Cos (3x-30) = sin(120-3x)

Substitute into the expression above

Sin(120-3x) = sin(7x+50)

120-3x = 7x+50

Collect like terms

-3x-7x = 50-120

-10x = -70.

x = 70/10

x = 7

Hence the value of x is 7

Solve for x: - 3x + 5 = -8x + 10​

Answers

The answers is X=1 because it is

Question 10 of 10
Sample A and sample B are from the same population. If the sample
proportion for sample A is 0.53, the sample proportion for sample B has to be
0.53
A. True
B. False


Answer is false

Answers

Answer:

It’s false

Step-by-step explanation:

It doesn’t need to be the same

Explain why that price seems to be a linear function of the number of boxes ordered?
Heeeeeelp

Answers

Answer:

Step-by-step explanation:

Because it's adding by a constant I'm pretty sure

can you guys help me with this i am down to my last nerve

Answers

Answer:

(-1, 1)

Step-by-step explanation:

um i kinda feel like i got it wrong buuuuuuut yea

y=x²+2x+2

First, we should try to change the last number in a way so we can factor the entire thing

y=x² + 2 x + 1

tooo make it look like y=(x + 1 )²

the only difference between the original y=x² + 2x + 2

and the factor-able y=x² + 2x + 1 is simply changing the

2 to a 1 (Since we can't randomly change the 2 to a 1, we can add 1 and subtract a 1 to the equation at the same time to keep it balanced.)

ummmmm yeeaaa <3

im confused on this problem

Answers

Answer:

y = 54, x = 62

Step-by-step explanation:

plz mark helpful, 5 str, and give brailiest, thx!

Help!! Solve 1 1/4 + 5 5/6

Answers

Answer:

7 2/24

Step-by-step explanation:

We can start by making the denominators the same (the bottom number)

1 1/4+5 5/6

1 6/24+ 5 20/24=7 2/24

Answer:

so what you would want to do is get your fraction into improper fractions and to do that you multiply the whole number by the denominator and add it to your numerator, once you do that you get 5/4, and 35/6, now we want to get common denominators, so we multiply 5/4, by 6/6, and 35/6 by 4/4 which would get us 30/24 and 140/24 then we add them and get 170/24 and then simplify, which gets you 85/12 and then put it into a mixed number which is 7 1/12

Step-by-step explanation:

Rewrite the expression, the quotient of k decreased by 4 and 9, using the division symbol and as a fraction.​

Answers

Answer:

(k - 4) ÷ 9

(k - 4) / 9

Step-by-step explanation:

k decreased by 4 = k - 4

quotient of k decreased by 4 and 9

= (k - 4) ÷ 9 (using division sign)

Or

= (k - 4) / 9 (as a fraction)

(4) please try and find the area of a triangle thank you

Answers

Answer:

The answer is 6m

Step-by-step explanation:

This is because the formulae used to find the area of a triangle is ½ multiplied by the base multiplied by the height.

Hope it helps:)

Question 12 (2 points)
Solve the system of equations using subsititution.
y = 2x - 3
y + 5 = 3x

Answers

Answer:

(2,1)

x = 2

y = 1

Explanation:

Check the image

Answer:

(2,1)

Step-by-step explanation:

Since we already have an equation for y, all we need to do is plug that into y in the other equation.

y + 5 = 3x

(2x - 3) + 5 = 3x

2x - 3 + 5 = 3x

2x + 2 = 3x

2 = x

Now that we know y, we just need to plug the value of x into the equation.

y = 2(2) - 3

= 4 - 3

= 1

Consider the diagram.
Mia plans to build a fence to divide her rectangular
garden into two triangular areas. Use the diagram to
find the length of fence she will need to divide the
garden. Round up to the nearest hundredth.
6m
Mia will need a fence that is

meters long.

Answers

Answer: 9.22 meters long

Step-by-step explanation: I did the assignment

Answer:

The person above me is correct its 9.22 meters long

Step-by-step explanation:

HELP ASAP
High-quality goods and services are made available to consumers because of producers __________.


A.hold self-interests

B.would like to compete

C.look for subsidies

D.specialize in production



Please select the best answer from the choices provided



A

B

C

D

Answers

Answer:

I think it’s D.

Step-by-step explanation:

Help! Plz thank you!!!!

Answers

Answer:

i do not see a picture or an image of what you need.

Step-by-step explanation:

Michael is measuring fabric for the costumes of a school play he needs 11.5 meters of fabric. He has 280 centimeters of fabric. How many more centimeters does he need ?

Answers

Answer:

8.7

Step-by-step explanation:

The answer is 8.7 because 280 centemiters converted into meters is 2.8 and 11.5-2.8=8.7

Please answer, yes, or no.

Answers

Answer:

No if you see this sign means (<) that the number in like this1<2 that 2 is greater than 1 so it would be no because it would be this way 9>7 not 9<7

Step-by-step explanation:

What is the greatest factor of 16x and 12?

Answers

Answer:

4

Step-by-step explanation:

4 is the highest number that fits into both 16x and 12 so therefore the answer is 4.
hope that helps!

Two vertices of a rectangle are (-10,-7) and (-10,18) what is the length of this side of the rectangle

Answers

The side length would be 25.

Which measurement is closest to the area of the circle in square meters?

Answers

Answer is C 113 here is an explanation

Which figure is described below?
The points in a plane equidistant
from the endpoints of PQ.
A. ray
B. plane
C. 2 circles
D. line

Answers

Answer:

It’s a line

Step-by-step explanation:

The figure that is described below is D. A line

What is a Line?

This refers to the one-dimensional figure that has a length but does not have any width.

Hence, we can see that from the described figure, it is said that the points in a plane are equidistant from the endpoints of PQ, this shows that a line is being described because it is one-dimensional.

Read more about lines in a plane here:

https://brainly.com/question/1655368

#SPJ6

given the f(x)=x+2 g(x)=3x²-1 what is (fg) (x)?

Answers

Answer:

(f·g)(x) = 3x² + 1

Step-by-step explanation:

Given:

f(x)=x+2,  g(x)=3x²-1

To find:

(f·g) (x) = ?

Solution:

(f·g)(x) = f(g(x)) = f(3x²-1) = (3x²-1) + 2 = 3x² + 1(f·g)(x) = 3x² + 1

Which expression is equivalent to -3y3 – 6y2 + 6y?

Answers

Answer:

-3y (y^2+ 2y-2)

Step-by-step explanation:

i took the test and got this answer

Melanie invested $5,500 in an account paying an interest rate of 6.9% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 11 years? Answer: 3562

Answers

Answer:

11749

Step-by-step explanation:

Two symmetric points on a parabola are (3, -2) and (7, -2).

What is the parabola's axis of symmetry?

Answers

Answer:

(5, -2)

Step-by-step explanation:

It is in the middle of the parabola for the points (3, -2) and (7, -2).

Carlo borrows 4180 add a rate of 4.1% Per year compounded annually he does not start payments until after 2.8 years which of the following is closest to the total amount he owes after 2.8 years

Answers

Answer:497.76

Step-by-step explanation:

The function f(x) = x2 is shifted up five units. Which of the following function equations represents this translation?

A)
f(x) = (x + 5)2

B)
f(x) = (x – 5)2

C)
f(x) = x2 – 5

D)
f(x) = x2 + 5

Answers

i think it’s b but i’m not sure

Please please help this is algebra:(

Answers

Answer:
X1=2,x2=6
Instructions:
Make sure you put the 1 and 2 underneath the x’s

The mean of a set of numbers is 8, and the mode is 9.

Which of the following sets of numbers do these values describe?

3, 7, 9, 9, 10, 14
1, 5, 8, 10, 11, 13
4, 6, 8, 9, 9, 12
3, 5, 7, 9, 12, 12

Answers

You can start by looking at the mode of the set of number automatically b and d are eliminated. We then proceed to calculate the mean so add all the numbers in A so it’ll be, 52 then divide by the amount of numbers in the set so 6. 52/6 =8.6
And C ends up being 48 so 48/6 = 8
Therefore your answer is C

Answer:

C

Step-by-step explanation:

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