Two rectangular picture frames have the same area of 45 square inches but have different side lengths. Frame A has a length of 6 3/4 inches, and Frame B has a length of 7 1/2 inches.


Without calculating, predict which frame has the shorter width. Explain your reasoning.


Find the width that you predicted to be shorter.

Answers

Answer 1

Answer:

B, 6 inches

Step-by-step explanation:

The formula for area is width * height. If the area is the same in both times, increasing height means you must be decreasing width. B has a taller height so must have a shorter width.

7 and 1/2 = 15/2

45 / (15 / 2) = 45 * 2 / 15 = 6 inches


Related Questions

7.) Which of the following are some of the possible solutions for the inequality?
-9w <-54
A. 6, 7, 8, 9
B. 6,5, 4,3
C.-6, -5, -4,-3
D. -6, -7,-8,-9

Answers

Answer:

A

Step-by-step explanation:

We will solve this inequality by dividing both sides by -9.

Remember, whenever you multiply or divide both sides by a negative number, the sign must be switched.

So we get:

[tex]w>6[/tex]

The only answer that has possible solutions that are greater than 6 is A.

find the inequality represented by the graph​

Answers

Y=-2x-5 should be it

Answer:

y is greater than or equal to -2x-5

Step-by-step explanation:

First find the slope which is -2x and then find the y-intercept which is -5 and then you can just test out if its greater than or equal to, or less than or equal to. To do this you just fill in the point 0,0 and if you do that you should get 0 is  greater than (you can ignore the "or equal to") -5 and is that true? Yes it is! so then the side of the line that the point 0,0 is on should be shaded and since it is your answer is right!

Hope this helped!

please help me with this question

Answers

Answer:

18

Step-by-step explanation:

For the base b of a logarithmic function, b>0 and b≠1


True

False

Answers

True cus i don’t remember but it’s true

Colbert's backyard has two trees, shown below. The height of shorter tree is 3/5 of the height of the taller tree. If the height of the shorter tree is 4 1/2 feet tall, what is the height, in feet, of the taller tree? ​

Answers

Answer:

The height of the taller tree is 7.5 feet.

Step-by-step explanation:

I am going to say that:

The height of the shorter tree is x.

The height of the taller tree is y.

The height of shorter tree is 3/5 of the height of the taller tree.

This means that [tex]x = \frac{3y}{5}[/tex]

If the height of the shorter tree is 4 1/2 feet tall, what is the height, in feet, of the taller tree? ​

This means that [tex]x = 4 + \frac{1}{2} = \frac{8+1}{2} = \frac{9}{2}[/tex]

We want to find y.

[tex]x = \frac{3y}{5}[/tex]

[tex]\frac{9}{2} = \frac{3y}{5}[/tex]

[tex]6y = 45[/tex]

[tex]y = \frac{45}{6}[/tex]

[tex]y = 7.5[/tex]

The height of the taller tree is 7.5 feet.

A rental car company charges $36.41 per day to rent a car and $0.11 for every mile
driven. Kaylee wants to rent a car, knowing that:
• She plans to drive 50 miles.
• She has at most $360 to spend,
Which inequality can be used to determine d, the maximum number of days Kaylee
can afford to rent for while staying within her budget?
360 > 5.5 + 36.41d
360 > 5.50 + 36.41
Submit Answer
360 < 5.5 + 36.41d
360 < 5.5d + 36.41

Answers

Answer: 360>5.5+36.41d

Step-by-step explanation:

8
BONUS QUESTION: A swimming pool is in the shape of a triangular prism. From the top down, the triangle's base has a length of 22 ft and a height of 11 ft.
The pool is 17.5 ft deep. If it takes 4.83 gallons of Jell-o to fill 2 cubic foot of space, how many gallons of Jell-o will it take to completely fill the pool? (Round the
gallons up).

Answers

I'm sorry I don't know

Answer:

Good luck Dude

Step-by-step explanation:

calcular el tamaño de muestra para una poblacion de 543.098 consumidores de una marca de bebida gaseosa donde el investigador asigna un nivel de confianza de 95% y una margen de error de 3% con una probabilidad de existo de 70% y de fracaso 30%

Answers

Answer:

m m m m m m

Step-by-step explanation:

mmmmmmmmm m m m m m m mm m m m m m m

6xy^3 * 4x^2y^2 answer​

Answers

6x y³ × 4x² y²
=

24 x¹+² y³+²
=
24x³ y⁵


What is the area of this triangle?
Enter your answer in the box.

Answers

Answer:

10 square units

Step-by-step explanation:

Base of triangle (b) = 4 units

Height of triangle (h) = 5 units

Therefore,

Area of triangle

[tex] = \frac{1}{2} bh \\ \\ = \frac{1}{2} \times 4 \times 5 \\ \\ = 2 \times 5 \\ \\ = 10 \: {units}^{2} [/tex]

Use structure: How is subtracting -4x from 9x similar to subtracting -4 from 9?

Answers

Answer:

It is the same thing except for subtracting -4x and 9x, you subtract -4 and 9 and just add x at the end

PLEASE HELP


180% is equiliant of which decimal .....​

Answers

Answer:

180% is equivalent to the decimal 1.8

Answer:

answer is 1.8 hope it helps

Exact distance between (-1,-9) and (5,-5)

Answers

[tex]2 \sqrt{13} [/tex]

that is your answer

The following stem-and-leaf plot represents the distribution of weights for a group of people.
Stem
Leaves
11
2
4 5 5
6
12
1
3 3
4 5
13
4
6
6
7
14
24
4
7 7
15
0
4
6
6 7
99
16
6
6
7
8
17
2 4
6
6
9
18
5 7
19
0 1
5 9
Step 2 of 3: How many people weigh in the range from 140 to 180 inclusive?

Answers

Answer:

the stem and leaf plot is invalid. please provide a diagram.

Macy has completed 78% of the 50 questions on the test. How
many questions has Macy completed?

Answers

Answer:

39

Step-by-step explanation:

Answer:

78% = 78/100

= 0.78

78% of the 50 i equal 0.78 x 50 = 39

Macy has completed 39 questions

If f(x) = -(5)x , what is f(2)?

Answers

Answer:

-10

Step-by-step explanation:

f(2) = 2 x -5

= -10

The answer is -10

which expression is equivalent to (5m) ^3

Answers

Answer:

5m•5m•5m

Step-by-step explanation:

so you  multiply the factor by itself as many times as the exponent says so if the factor is 5m you would multiply it by the exponent which in this case is 3

5m.5m.5m and 125m³  is the equivalent expressions of the expression (5m)³.

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is (5m)³

We have to find the equivalent expression of (5m)³

Equivalent expressions are expressions that work the same even though they look different

(5m)³ can be written as 5m.5m.5m

The value of five cube is one hundred twenty five.

125m³

Hence, 5m.5m.5m and 125m³  is the equivalent expressions of the expression (5m)³.

To learn more on Expressions click:

https://brainly.com/question/14083225

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what is the area of the figure​

Answers

Answer:

I can not see the question

Step-by-step explanation:

Please post the question with the picture on your profile so I can attempt it

What is the area of this figure ?

Answers

Answer:

52920cm

all you have to do is multiply all the numbers together.

sorry if its wrong.

but hope it helps.

have a great day.

Answer:

102

Step-by-step explanation:

area of the square (36) plus the area of the trapezoid (66)

Mary has two sisters. Her younger sister is 5 years younger Her older
sister is twice her age. Their ages add up to 47. How dd is Mary and each
of her sisters?

Answers

Older sister is 26, Mary is 13, and younger sister is 8.
Explanation:
26 + 13 + 8 = 47
If the older sister is 26, then Mary is half that, meaning: 26/2 = 13
Mary is 13, and her younger sister is 5 years younger so: 13-5 = 8
Her younger sister is 8.
To double check, add up the ages and see if you get 47.
26 (older sister) + 13 (Mary) + 8 (younger sister) = 47

Suppose P(t)represents the population of a certain mosquito colony, where. t is measured in days. The current population of the colony is known to be 574 mosquitos; that is, P(0)=574. If P'(0)=50 mosquitos per day, estimate the size of the population in 10 days.

Answers

Answer:

The estimated size of the population in 10 days is of 1372 mosquitos.

Step-by-step explanation:

Population after t days:

The population after t days is given by:

[tex]P(t) = P(0)e^{rt}[/tex]

In which P(0) is the initial population and r is the growth rate, as a decimal.

P(0)=574.

So

[tex]P(t) = 574e^{rt}[/tex]

P'(0)=50

[tex]P^{\prime}(t) = 574re^{rt}[/tex]

Since P'(0)=50

[tex]574r = 50[/tex]

[tex]r = \frac{50}{574}[/tex]

[tex]r = 0.0871[/tex]

So

[tex]P(t) = 574e^{0.0871t}[/tex]

Estimate the size of the population in 10 days

This is P(10).

[tex]P(10) = 574e^{0.0871*10} = 1372[/tex]

The estimated size of the population in 10 days is of 1372 mosquitos.

The size of the population of mosquito follows an exponential model.

The size of the population in 10 days is 1370

The given parameters are:

[tex]\mathbf{P(0) = 574}[/tex]

[tex]\mathbf{P'(0) = 50}[/tex]

An exponential function is represented as:

[tex]\mathbf{P(t) = P(0) \times e^r^t}[/tex]

So, we have:

[tex]\mathbf{P(t) = 574 \times e^r^t}[/tex]

Differentiate

[tex]\mathbf{P'(t) = 574r}[/tex]

Substitute 0 for t

[tex]\mathbf{P'(0) = 574r}[/tex]

Substitute [tex]\mathbf{P'(0) = 50}[/tex]

[tex]\mathbf{50 = 574r}[/tex]

Divide both sides by 574

[tex]\mathbf{0.087 = r}[/tex]

So, we have:

[tex]\mathbf{r = 0.087 }[/tex]

The function becomes

[tex]\mathbf{P(t) = 574 \times e^r^t}[/tex]

[tex]\mathbf{P(t) = 574 \times e^{0.087t}}[/tex]

In 10 days, t = 10.

So, we have:

[tex]\mathbf{P(10) = 574 \times e^{0.087 \times 10}}[/tex]

[tex]\mathbf{P(10) = 574 \times e^{0.87}}[/tex]

Solve

[tex]\mathbf{P(10) = 1370}[/tex]

Hence, the size of the population in 10 days is 1370

Read more about exponential functions at:

https://brainly.com/question/11487261

एक कार की गति 92.4 किमी प्रति घंटा है यह 20 मिनट मे कितना दुरी तय करेगी ​

Answers

Answer:

mate I will surely help if nut pls translate it in English as I can barely read hindi

Find 2/3 of 24


Help ASAP plz!! Got to get finished tonight

Answers

16
Please mark Brainliest
If u need an explanation lemme know

Answer:

16

Step-by-step explanation:

[tex](\frac{2}{3} )*24=16[/tex]

Which image below shows the result of an image that has been rotated 180 by the origin O?

Answers

The new image will be reflected across the x axis and will be on the opposite side of the y axis


[tex]0.004 \times 0 .81[/tex]

Answers

the answer is 0.00324
The answer is 0.00324
In scientific notation it is 3.24 * 10^3
As a fraction it is 81/25000

Sylvia had a small box. She filled it with 64 triangle pattern blocks. She said "The volume of this box is 64 cubic units." Do you agree with Sylvia? Why or why not?

Answers

Answer:

I do not agree with Sylvia

Step-by-step explanation:

Given

1 small box

64 triangle pattern blocks

Required

Is she right?

From the question, we understand that she fills the box with 64 blocks.

For the fact that she did this; it does not mean that the volume of the small box is 64 cubic units (even if she filled the box completely and the triangle pattern blocks are identical)

The reason for this is that, the volume of each box may not be 1 cubic unit.

So, first she needs to determine the volume of each pattern block, then multiply by 64. If the result is 64, then the volume of the box is 64 cubic units.

Since, it is not stated, we will not make any assumptions.

Hence, I do not agree with Sylvia.

Question 11
Rhonda deposits $5,600 in a savings account that pays 1.36% Interest, compounded semiannually. What is the balance after the first 9 months?

Answers

Answer:

follow me please and give thanks

Eli saves money each month to buy a new computer.
The total amount he has saved, T, can be calculated
by the equation T = 83 + 30m, where m is the
number of months since he started saving. What
does the number 83 represent in the equation?

Answers

Answer:

The money he already had when he started saving.

Step-by-step explanation:

Eli begin with $83 during month [m] = 0 and saved money onwards starting from month one.

What does the constant (c) in the equation → y = mx + c indicates?

The constant (c) in the equation - y = mx + c, indicates the value of (y) at

x = 0. This means that it indicates the value of (y) even before the value of (x) started to increase.

Given is the equation → T = 83 + 30m representing the money saved by Eli each month to buy a new computer.

The equation given is -

T = 83 + 30m

When compared to the equation  of the straight line -

y = mx + c

We get -

c = 80

This shows that Eli begin with $83 during month [m] = 0 and saved the money onwards starting from first month.

Therefore, Eli begin with $83 during month [m] = 0 and saved money onwards starting from month one.

To solve more questions on Amount estimation, visit the link below-

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What is -6k + 7k simplified?

Answers

Answer:

1k

Step-by-step explanation:

-6k+7k=1k

or

7k-6k=1k

Answer:

The answer would be found by adding -6  and 7 k so itd be 1k or just k

63% of US adults opposed to taxes on junk food and soda. You randomly select 10 US adults. Find the probability that the number of adults who oppose special tax on junk food and soda (a) exactly one, (b) at least four, and (c) less than eight

Answers

Answer:

a) 0.0008 = 0.08% probability that the number of adults who oppose special tax on junk food and soda is exactly one.

b) 0.9644 = 96.44% probability that the number of adults who oppose special tax on junk food and soda is at least four.

c) 0.7795 = 77.95% probability that the number of adults who oppose special tax on junk food and soda is less than eight.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they are opposed to taxes on junk food and soda, or they are not. Each adult is independent of other adults, which means that the binomial probability distribution is used to solve the 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.

63% of US adults opposed to taxes on junk food and soda.

This means that [tex]p = 0.63[/tex]

You randomly select 10 US adults.

This means that [tex]n = 10[/tex]

(a) exactly one

This is [tex]P(X = 1)[/tex]. So

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

[tex]P(X = 1) = C_{10,1}.(0.63)^{1}.(0.37)^{9} = 0.0008[/tex]

0.0008 = 0.08% probability that the number of adults who oppose special tax on junk food and soda is exactly one.

(b) at least four

This is

[tex]P(X \geq 4) = 1 - P(X < 4)[/tex]

In which

[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

So

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

[tex]P(X = 0) = C_{10,0}.(0.63)^{0}.(0.37)^{10} \approx 0[/tex]

[tex]P(X = 1) = C_{10,1}.(0.63)^{1}.(0.37)^{9} = 0.0008[/tex]

[tex]P(X = 2) = C_{10,2}.(0.63)^{2}.(0.37)^{8} = 0.0063[/tex]

[tex]P(X = 3) = C_{10,3}.(0.63)^{3}.(0.37)^{7} = 0.0285[/tex]

[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0 + 0.0008 + 0.0063 + 0.0285 = 0.0356[/tex]

[tex]P(X \geq 4) = 1 - P(X < 4) = 1 - 0.0356 = 0.9644[/tex]

0.9644 = 96.44% probability that the number of adults who oppose special tax on junk food and soda is at least four.

(c) less than eight

This is

[tex]P(X < 8) = 1 - P(X \geq 8)[/tex]

In which

[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)[/tex]

In which

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

[tex]P(X = 8) = C_{10,8}.(0.63)^{8}.(0.37)^{2} = 0.1529[/tex]

[tex]P(X = 9) = C_{10,1}.(0.63)^{9}.(0.37)^{1} = 0.0578[/tex]

[tex]P(X = 10) = C_{10,2}.(0.63)^{10}.(0.37)^{0} = 0.0098[/tex]

[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.1529 + 0.0578 + 0.0098 = 0.2205[/tex]

[tex]P(X < 8) = 1 - P(X \geq 8) = 1 - 0.2205 = 0.7795[/tex]

0.7795 = 77.95% probability that the number of adults who oppose special tax on junk food and soda is less than eight.

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