Two rectangular picture frames have the same area of 45 square inches but have different side lengths. Frame A has a length of 6 inches, and Frame B has a length of 7 inches. 1. Without calculating, predict which frame has the shorter width. Explain your reasoning. 2. Find the width that you predicted to be shorter. Show your reasoning.​

Answer:

The answer is 20%

Step-by-step explanation:

20% because if there are 50 altogether and there are only 30 blue books, then there 20 more books that are red that will make the count of 50

Answer:

Step-by-step explanation:

if you have one side =2/7

area = (2/7)^2=4/49 m^2

To find the area of a square, we need to know the length of one of its sides. In this case, the given length of a side is 2/7m. So, the area of the square is 4m² / 49.

To find the area, we use the formula A = s², where A represents the area and s represents the length of a side. Let's substitute the given value into the formula:

A = (2/7m)²

To square 2/7m, we multiply it by itself:

A = (2/7m) × (2/7m)

To multiply fractions, we multiply the numerators together and the denominators together:

A = (2 × 2) / (7 × 7) × m × m

Simplifying the numerator and denominator:

A = 4 / 49 × m × m

Finally, we can write the area as a fraction:

A = 4m² / 49

So, the area of the square is 4m² / 49.

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Answer:

0,3 is  point saying that this is not proportional 4 6 continues the fashion of bases by the point of origin which doesnt exisist or 0,0 so that doesnt work

Step-by-step explanation:

pls answert my question too

Answer:

6 shirts

Step-by-step explanation:

because if each shirt is 9 dollars and you have 60 dollars then take 60 divided by 9 and that is how many shirts you can get

Answer:

-11(x+1)

Step-by-step explanation:

nice picture!

oops i read question wrong lol

Step-by-step explanation: basically its 6 + 1 = 7x

6 - 14 = 8x  9 + 4 = 13x

Answer: x = 9

Explanation: In this problem, we're given a triangle and information

about each of its angles and we're asked to find the value of x.

The measures of the angle of a triangle always add to 180 degrees.

So we can setup the equation 6x + 1 + 9x + 4 + 6x - 14 = 180.

Simplifying on the left side, we have 21x - 9 = 180.

Adding 9 to both sides, we have 21x = 189.

Now divide both sides by 21 to get x = 9.

Answer:

vsbnnsmelr bc ycmjsddm

Answer:

(3, -3)

Step-by-step explanation:

Answer:

(4,4)

Step-by-step explanation:

when you go down 3 units you just need to subtract 3 from 7

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Explanation:

For any 45-45-90 right triangle, the hypotenuse H is always sqrt(2) times the leg L

In terms of symbols, we can say

[tex]H = L*\sqrt{2}[/tex]

We're told the hypotenuse is e, so H = e

Let's solve for L in terms of e

[tex]H = L*\sqrt{2}\\\\e = L*\sqrt{2}\\\\L*\sqrt{2} = e\\\\L = \frac{e}{\sqrt{2}}\\\\[/tex]

Now let's multiply top and bottom by [tex]\sqrt{2}[/tex] to rationalize the denominator

[tex]L = \frac{e}{\sqrt{2}}\\\\L = \frac{e\sqrt{2}}{\sqrt{2}*\sqrt{2}}\\\\L = \frac{e\sqrt{2}}{\sqrt{2*2}}\\\\L = \frac{e\sqrt{2}}{\sqrt{4}}\\\\L = \frac{e\sqrt{2}}{2}\\\\[/tex]

If the hypotenuse is e, then the length of each leg is [tex]\frac{e\sqrt{2}}{2}[/tex]

This matches with choice C, which is one of the two answers. This allows us to rule out choices A and B, as those expressions are not equivalent to the expression for choice C.

----------------

The two legs of any right triangle form the base and height. The order doesn't matter. The base is always perpendicular to the height. In a right triangle, the two legs are always perpendicular.

The base and height are [tex]\frac{e\sqrt{2}}{2}[/tex] each.

The area of the triangle is...

[tex]\text{Area} = \frac{1}{2}*\text{base}*\text{height}\\\\\text{Area} = \frac{1}{2}*\frac{e\sqrt{2}}{2}*\frac{e\sqrt{2}}{2}\\\\\text{Area} = \frac{e\sqrt{2}*e\sqrt{2}}{2*2*2}\\\\\text{Area} = \frac{e*e\sqrt{2*2}}{2*2*2}\\\\\text{Area} = \frac{e^2\sqrt{4}}{2*2*2}\\\\\text{Area} = \frac{e^2*2}{2*2*2}\\\\\text{Area} = \frac{e^2}{2*2}\\\\\text{Area} = \frac{e^2}{4}\\\\[/tex]

This matches with choice E, which is the other answer. Choices D and F are eliminated as they are not equivalent to the expression for choice E.

The required points that are correct are the length of the leg is given as e√2/2 and the area of the triangle is given as e²/4. Options D and E are correct.

Given that,
An isosceles right triangle has a hypotenuse of length e.

In a right-angled triangle, its side, such as hypotenuse, perpendicular, and base is Pythagorean triplets.

Here,
Let the measure of the leg be x,
Apply Pythagoras' theorem,
e² = x ² + x²
e² = 2x²
x = √e²/2
x = e/√2
or
x = e√2/2

Now,?
area of the triangle is given as,
area = 1/2 × e/√2 ×e/√2
area = e² / 4

Thus, the required points that are correct are the length of the leg is given as e√2/2 and the area of the triangle is given as e²/4. Options D and E are correct.

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Answer:

The answer is -3

Step-by-step explanation:

1. Distribute -7z + 21 = 42

2. Subtract  42 - 21 = 21

3. -7z = 21

4. Divide 21 / -7 = -3

5. Answer is -3

Answer:

[tex]y = 1.4[/tex]

Step-by-step explanation:

Given

[tex]y = width[/tex]

[tex]x = length[/tex]

[tex]y = 3;\ when\ x = 14[/tex]

Required

Find y when x = 30

Being an inverse variation, we have:

[tex]y\ \alpha\ \frac{1}{x}[/tex]

Convert the variation to an equation

[tex]y = \frac{k}{x}[/tex]

First, we solve for k

Make k the subject to solve for k

[tex]k = xy[/tex]

[tex]y = 3;\ when\ x = 14[/tex]

So, the value of k is:

[tex]k = 14 * 3[/tex]

[tex]k = 42[/tex]

To solve for y when x = 30

Substitute 30 for x and 42 for k in [tex]k = xy[/tex]

[tex]42 = 30 * y[/tex]

Make y the subject

[tex]y = \frac{42}{30}[/tex]

[tex]y = 1.4[/tex]

The width of the rectangle would be as follows:

[tex]1.4[/tex]  inches

Inverse proportion occurs when one value increases and the other decreases.

The width, [tex]y[/tex], of a rectangle with a fixed area varies inversely with its length, [tex]x[/tex].

So, [tex]y=\frac{k}{x}[/tex] where [tex]k[/tex] is the constant.

The width is [tex]3[/tex] inches when the length is [tex]14[/tex] inches.

So,

[tex]3=\frac{k}{14} \\k=42y=\frac{42}{x}\\Put x=30[/tex]

Therefore, [tex]y=\frac{42}{30}=1.4[/tex] inches

Thus, Width is [tex]\boldsymbol{1.4}[/tex] inches when the length is [tex]30[/tex] inches.

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Answer:

For any exponential function in which the base is less than 1, it will be an exponential decay situation.  In this problem, the base is 0.97.  The amount that the base is less than 1  ( i.e. 1 - base) represents, in decimal form, the percent of decrease, which in this case is 0.03 or 3%.  

Step-by-step explanation:

The formula for exponential decay is y=a(1-r)x.  

r is the decay rate.

5(x + 3) + 3(y + 1)

= 5x + 3y + 18

Answer:

The commission is $200

Step-by-step explanation:

8,000 x 2.5% = 200

Answer:

its option A

Step-by-step explanation:

its the correct option

if a prime number is rooted then it gives an irrational number

Answer:

Ok so the answer is sqrt of 39 but think about

Step-by-step explanation:

sqrt81 is 9 which is a whole number it is rational

sqrt16 is 4 which again is a whole number and is rational

1.9 is rational because it can be written as a fraction or ratio

but sqrt39 is a repeating decimal that goes on forever it still is a real number not fitting into the imaginary category but not a ration number.

Answer:

C

Step-by-step explanation:

Edge 2020

The pattern as the exponent decreases is (c) divide the previous value by 5

The sequence on the table are given as:

125, 25, 5, 1, 1/5, 1/25......

From the above sequence, we have:

125/5 = 25

This means that the current value is gotten by dividing the previous by 5

Hence, the pattern as the exponent decreases is (c) divide the previous value by 5

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131.2(477)=62,582.4 is the answer you're looking for

Answer:

pi is irrational

if I remember correctly it's irrational

Answer:

The difference in average speed between two cars, one that traveled 160 kilometers in 5 hours, and the other that traveled 140 kilometers in the same time is:

2 km/h.

Step-by-step explanation:

a) Data and Calculations:

Let A = first car and B = second car

Distance traveled by first car = 160 kilometers (km)

Distance traveled by second car = 140 kilometers

Time taken by each car = 5 hours

Speed of A = 160/5 = 32 km/h

Speed of B = 150/5 = 30 km/h

Difference in speed =  2 km/h (32 - 30)

b) The average speed of a car is given by the distance traveled divided by the time taken to travel the distance.  The speed here is expressed in kilometers per hour (km/h).  It can also be expressed in meters per hour or second, etc.

Answer:

4

Step-by-step explanation:

Answer:

1060 feet

Step-by-step explanation:

The computation of the perimeter of the rectangle is as follows;

As we know that

Perimeter of the rectangle = 2 × ( length + width)

where

Length of x = 5

And, the width be 5x^3 - 4x^2

= 5(5)^3 - 4(5)^2  

= 625 - 100  

= 525

Now the perimter is

= 2 × (5 + 525)

= 1060 feet

Answer:

4.006627

Step-by-step explanation:

Answer:

I'm not sure if you're looking for an approximation or the exact amount, so I'll give you both. The drama club would need exactly 9.375 lbs of chocolate for the 75 orders, or 6.375 more lbs. If we round that up to the nearest pound, the club would need 10 lbs of chocolate to cover the 75 orders, with some left over. So, they would need 7 lbs more.

Answer:

bit late but Sharmila read 8 pages every 5 minutes.

Step-by-step explanation:

let's take a look at the first time on the chart. 15 minutes. 15/5=3. 3x8=24. this works with the rest of the numbers too.

Answer:

6) y=-1/3+5

7) y=10/8-12

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The x's can not completely cancel each other out so they are still included but you have to divide the numbers, exponents and whole numbers.

Answer:

first one

Step-by-step explanation:

Answer:

equals

COS

Step-by-step explanation:

because cos×3=COS

Answer:

30

Step-by-step explanation:

Answer: 30

Step-by-step explanation:

Answer:

108 student tickets, and 176 adult tickets  were sold

Step-by-step explanation:

Adult ticket $8  Call the number of adult tickets sold "a"

Student ticket $5  Call the number of student tickets sold "s"

Since we are talking about TWO consecutive days of sold out seats, the total number of seats sold were 2* 142 = 284

Then we create two different equations with the information given:

a + s = 284

8 * a + 5 * s = 1948

we can solve for s in the first equation as follows: s = 284 - a

and use it in the second equation

8 a + 5 (284 - a) = 1948

8 a + 1420 - 5 a = 1948

combining

3 a = 528

a = 528/3

a = 176

we find the number of student tickets using this answer in the substitution equation we used:

s - 284 - 176 = 108

Therefore 108 student tickets, and 176 adult tickets  were sold.