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

A swimming pool manager is making a schedule for his lifeguards next Monday. The pool policy states that there must be 2 lifeguards on duty for a pool attendance of up to 20, 3 lifeguards on duty for an attendance of 21-50, 4 lifeguards on duty for an attendance of 51-75, and 5 lifeguards on duty for an attendance of 76-100. Based on last Monday's pool attendance shown in the graph, how many lifeguards should be scheduled at 2:00?

A. 4 lifeguards
B. 5 lifeguards
C. 3 lifeguards
D. 2 lifeguards

Answers

Answer: A.4

Step-by-step explanation:

How do you do 3++3 because i need help with this. I am learning this and are confused

Answers

3+3? it’s 6. if that’s what u mean

If the probability that it will rain
tomorrow is 3/8, what is the
probability that it will not rain?

Answers

Answer:

5/8

Explanation: 8/8 - 3/8 = 5/8

Answer:

0.625

Step-by-step explanation:

1-3/8 total probability is 1 thus you take the probability that it will rain from 1 and get the answer

Find the measure of X from the circle below:

Answers

Answer: it looks like about 180 degrees

Step-by-step explanation:

sorry if wrong can you help me if right please

Which shapes make up this composite figure?

A cylinder and 2 half spheres.
a cylinder and a cone
a cylinder and two cones
a half sphere, a cylinder, and a cone
a sphere and a cylinder

Answers

Answer:

A cylinder and 2 half spheres

Step-by-step explanation:

Using my eyes, I see 1 cylinder and 2 half spheres at the ends of the cylinder.

The shapes that combined to form the comppsite figure are a Cylinder and two half Sphere.

Option A) A cylinder and 2 half spheres is the correct answer.

What is a cylinder and a hemisphere?

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

A hemisphere is gotten when a sphere is cut into two equal halves. It is half of a shere.

From the Image, one can see that a cylinder and two hemispheres combined to form the composite figure.

Hence, the shapes that combined to form the comppsite figure are a Cylinder and two half Sphere.

Option A) A cylinder and 2 half spheres is the correct answer.

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7x+3y=11
3x-y=23
Solve by substitution

Answers

hope this helps have a nice day :)

Pls help !!!!!!!!!!!!

Answers

Answer:

x = 100°

Step-by-step explanation:

15° + 65° + x = 180°

80° + x = 180°

x = 100°

A sculptor is planning to make two triangular prisms out of steel. The sculptor will use △ABC for the bases of one prism and △DEF for the bases of the other prism.

(a)Is △ABC similar to △DEF? Explain.
(b)Suppose the sculptor makes both prisms with the same height. Which prism will have a greater volume? How many times greater? SHOW YOUR WORK FOR BRAINLIEST!!

Answers

Answer:

a)

Verify is the corresponding sides have same ratio:

AB / DE = 50/60 = 5/6 BC / EF = 20/24 = 5/6

Since the ratios are same, the triangles are similar

b)

If one dimension is same, the base areas will make difference by the square of the scale factor:

(6/5)² = 1.44 times

Please help me. I am pretty confused on this ​

Answers

Answer:

C

Step-by-step explanation:

16's square root is 4

the square root of 16 is 4

Which of the following points is in the solution set of y>x2+7x-14​

Answers

Answer:

Observation : No two such factors can be found !! Conclusion : Trinomial can not be factored. Equation at the end of step 1 : x2 - 7x - 14 = 0. Step 2 : Parabola, Finding the Vertex: 2.1 Find the Vertex of y = x2-7x-14

Ashley plans to run a total of 24 miles this week. If Ashley has already run 25% of the total distance, how many more miles does she plan to run this week?
A. 6 miles

B. 20 miles

C. 4 miles

D. 18 miles

Answers

Answer:

D.18 millas

Step-by-step explanation:

dividimos  el 24 en cuatro partes que terminaria en 6 restamos 6-24 = 18 millas que seria el 75%

The number 18 is decreased to 16. What is the percentage by which the number was
decreased, to the nearest tenth of a percent?

Answers

Answer:

11.1 %

Step-by-step explanation:

2/18 = 11.1%

The percentage of the number decreased is 11.1%.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Initial number = 18

Final number = 16

The change in the value of the number.

= 18  - 16

= 2

The percentage decreased.

= (Change in the number / Initial number) x 100

= 2/18 x 100

= 200/18

= 11.11%

= 11.1 %

Thus,

The percentage decreased is 11.1%.

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The volume of a cylinder is 980 in cubed.
The height of the cylinder is 20 in. What is the radius of the cylinder?
Express your answer to the nearest hundredth.​

Answers

9514 1404 393

Answer:

  3.95 in

Step-by-step explanation:

The volume is given by ...

  V = πr²h

Solving for radius, we get ...

  r = √(V/(πh))

For the given numbers, the radius is ...

  r = √(980 in³/(π·20 in)) = 7/√π in ≈ 3.95 in

The radius of the cylinder is about 3.95 inches.

The length of a picture frame is 6 inches more than the width. For what values of x is the perimeter of the picture frame greater than 152 ​inches?

Answers

Answer:

35

Step-by-step explanation:

35 is exactly 152 but since its asking for greater then you're right it is 36.

But since it says '>' it means not equal to so it would be:

x > 35

or

x ≥ 36

Joanne has a rectangular kitchen that is 10 ft by 15 ft. She decides to increase the length and the width by the same amount (x) in order to have a new kitchen whose area is double the area of the original kitchen. How much should the length and the width increased by?

Answers

Answer:

NO

Step-by-step explanation:

find the 12th term of the geometric sequence 5,20,80

Answers

20,971,520 is the answer I believe so

Answer:

20971520

Step-by-step explanation:

Thank me later

Plz answer for goodluck

Answers

Answer:

It says that most of the data is greater than the mean

Step-by-step explanation:

Answer:

A large mad means many of the points deviate far from the average

Step-by-step explanation:

PLEASE HELP THIS HAS A TIMER The following two-way table shows the distribution of daily traffic and weather issues in a certain large city.

A 4-column table with 3 rows. Column 1 has entries bad weather, good weather, total. Column 2 is labeled heavy traffic with entries 25, 55, 80. Column 3 is labeled Light traffic with entries 5, 15, 20. Column 4 is labeled Total with entries 30, 75, 100. The columns are titled daily traffic and the rows are titled weather conditions.

Suppose a day from this city is selected at random. Let event A = heavy traffic and event B = bad weather. Are events A and B independent?

No, P(A) = P(B|A).
No, P(A) ≠ P(A|B).
Yes, P(A) = P(A|B).
Yes, P(A) ≠ P(B|A).

Answers

Answer:

I believe the answer is (B).

Both are not independent, and the probability of A is 30/100.

While the probability for A|B is like 30/100(80/100) which does not equal 30/100.

I've been trying to figure out how to do it and stuff, and this seems the most reasonable answer. I'm taking it now. Goodluck

ED2021

The two events are not independent as the traffic is affected by the weather conditions.

What is independent probability?

Two events are independent if the occurrence of one event does not affect the chances of the occurrence of the other event. The mathematical formulation of the independence of events A and B is the probability of the occurrence of both A and B being equal to the product of the probabilities of A and B (i.e., P(A and B).

Let event A = heavy traffic and event B = bad weather.

P(A)=  25/30 and P(B)=25/30

Two events are said to be independent only when the change in one event affect the other event.

Here the two given events are not independent.

Band weathers such as heavy rainfall, snowfall etc. leads to failure of traffic management system and thereby causes heavy traffic. This is easily seen in all major urban cities.

Hence, the two events are not independent as the traffic is affected by the weather conditions.

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Write the equation of the line that passes throught the points (-1, 6) and (5, -4).

Answers

Answer:

y = -5/3x + 13/3

Step-by-step explanation:

(-1, 6) and (5, -4).

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-4 - 6) / (5 - (-1))

Simplify the parentheses.

= (-10) / (5 + 1)

= (-10) / (6)

Simplify the fraction.

-10/6

= -5/3

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = -5/3x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (5, -4). Plug in the x and y values into the x and y of the standard equation.

-4 = -5/3(5) + b

To find b, multiply the slope and the input of x(5).

-4 = -25/3 + b

Now, add 25/3 to both sides to isolate b.

-4 ⇒ -12/3

-12/3 + 25/3 = 13/3

13/3 = b

Plug this into your standard equation.

y = -5/3x + 13/3

This is your equation.

Check this by plugging in the other point you have not checked yet (-1, 6).

y = -5/3x + 13/3

6 = -5/3(-1) + 13/3

6 = 5/3 + 13/3

6 = 18/3

6 = 6

Your equation is correct.

Hope this helps!

(a) An angle measures 30°. What is the measure of its supplement?
(b) An angle measures 26°. What is the measure of its complement?

Answers

Answer:

32 and 58.

Step-by-step explanation:

complementary angles add up to 90.

26+x=y

x+y=90

plug y=26+x into the above equation

x+26+x=90

2x=64

x=32

The angles are 32 and 58.

Select the correct answer.
Consider the first four terms of the sequence below.

-3, -12, -48, -192, . . .

What is the 8th term of this sequence?

A.
-196,608
B.
-49,152
C.
-12,288
D.
-768

Answers

Answer:

D

Step-by-step explanation:

The value of 8th term of this sequence is,

⇒ a (8) = - 49,152

What is Geometric sequence?

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

Consider the first four terms of the sequence are,

⇒ -3, -12, -48, -192, . . .

Here, Common ratio is,

⇒ - 12 / - 3

⇒ 4

Thus, The sequence are in Geometric sequence.

Hence, The value of 8th term of this sequence is,

⇒ a (8) = - 3 × (4)⁸⁻¹

⇒ a (8) = - 3 × 4⁷

⇒ a (8) = - 3 × 16,384

⇒ a (8) = - 49,152

Thus, The value of 8th term of this sequence is,

⇒ a (8) = - 49,152

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pls pls pls, I beg you to answer this question only if you know the correct answer please please please I beg you

Answers

Answer: for number 4 the error is that they did -3 plus 5 which they got a +2 from. For question number 5 the correct answer is 18 and number 6 the answer is also 18.

Step-by-step explanation:

Answer:

1. they were suppose to multiply the 2 and the 5 first

2.B

3. 18

4.B

5.B

In OPQ, O = 10 cm, p=67 cm and angle Q=24^ . Find angle P , to the nearest degree.

Answers

152Answer:

Step-by-step explanation:

Solve the equation using the distributive property and properties of equality. 2 (x minus 8) = 68 What is the value of x?

Answers

Answer:

x=42

Step-by-step explanation:

2(x-8)=68

Distribute the 2

2x-16=68

Use the addition property of equality (add 16 to both sides)

2x=68+16

2x=84

Use the division property of equality (divide both sides by 2)

x=84/2

x=42

how do you calculate ratios

Answers

Answer:

A link for a calculator that I use for ratios

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/math/ratios.php

A circle is centered at the point (-7,-1) and passes through the point (8, 7). The radius of the circle is ___ units. The point (-15, __ ) lies on this circle

Answers

Answer:

(x + 7)2 + (y + 1)2 = r2.

To get we use point (8, 7): (8 + 7)2 + (7 + 1)2 = r2, r2 = 225 + 64 = 289 = 172.

So, equation of circle: (x + 7)2 + (y + 1)2 = 289

Step-by-step explanation:

what two numbers multiply to 10 and add up to 11

Answers

Answer:

1 and 10

Step-by-step explanation:

Answer:

1 and 10

Step-by-step explanation:

1×10=10

1+10=11

The graph below can be used to solve which equation? 1x + 2– 5= -(x - 1)(x - 3) 8 5 x + 2 - 5 = (1 - 1)(x - 3) 3 2 1 2-21-5= -(2+1)(2+3) A 0 5 3 2 1 0 2 7 s 6 2 - 2 - 5 = -(-1)(2-3) 6 My Progress 355​

Answers

Answer:

B

Step-by-step explanation:

The graph of function is |x + 2| – 5= -(x - 1)(x - 3) which is represented in the graph option first is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

As we can see in the graph, there are two graphs of a function shown.

First one is a graph of a mod function and second one is a graph of a quadratic equation.

|x + 2| – 5= -(x - 1)(x - 3)

f(x) = |x + 2| - 5

g(x) = -(x - 1)(x - 3)

Thus, the graph of function is |x + 2| – 5= -(x - 1)(x - 3) which is represented in the graph option first is correct.

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Hell I’ll mark brainlest!

Answers

2916 i believe but if not there is a calculator for a pyramid on

Answer:

Read answer below :)

Step-by-step explanation:

So you know that the height is 12 cm, and the base is 27 cm at full. When they show you half, that's 13.5. So, having three sides in the entire base-length of 27 cms, you'll divide 27 by 3, in which case you get 9. Each the the base lengths are 9.

So the formula for volume is length * width * height. Knowing the width (13.5), the length (9), and height (12), multiply them. Your final answer is 1458 for all of it. For one side, divide by 6.

Hope this helps

HELP TIMED!!
Suppose you draw a card from a​ well-shuffled deck of 52 cards. What is the probability of drawing a 7 or a queen​?

Answers

Answer:

50%

Step-by-step explanation:

Its a deck and its suffled

Answer:

[tex]\frac{8}{52}[/tex] = 0.15384615384 = 15.38%

Step-by-step explanation:

There are 4 7s and 4 queens so

[tex]\frac{4}{52}[/tex] + [tex]\frac{4}{52}[/tex] = [tex]\frac{8}{52}[/tex]

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