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2 months ago

Guest #1230

2 months ago

The average rate of change is 1

Question

Original tv cost: 700$ Current tv cost: 500$
Find the percent of decrease
Round to the nearest whole percent

Solution 1

we know that

100%------------>Â $700 (is the Original tv cost)

Â X %--------------> Â $500 (is theÂ Current tv cost)

x=500*100/700----> 71.43%

the percent of decrease=100%-71.43%-----> 28.57%-----> 29%

**the answer is**

**Â the percent of decreaseÂ is 29%**

100%------------>Â $700 (is the Original tv cost)

Â X %--------------> Â $500 (is theÂ Current tv cost)

x=500*100/700----> 71.43%

the percent of decrease=100%-71.43%-----> 28.57%-----> 29%

Solution 2

Hi

The answer : the percent of decrease Â is 29%

Question

What is the equation of the line whose y-intercept is 3 and slope is 1? y=x-3
y=x+3
y=3x+1

Solution 1

The answer is y=x+3.

Hope this helps! :)

Hope this helps! :)

Question

The tax rate is 8.5%
What is the tax on 95$?
Round to the nearest hundredth

Solution 1

Tax = 8.5% x $95 = $8.08 (nearest hundredth)

**Answer: $8.08**

Solution 2

Hi

So the answer is $8.08

Question

A girl scout sells 3 boxes of cookies during week 1. She has a goal to sell twice as many cookies each week as she did the week before. If she succeeds in doing this during weeks 2, 3, 4, and 5, how many boxes will she sell all together? a0

Solution 1

Week Two: 6 Boxes

Week Three: 12 Boxes

Week Four: 24 Boxes

Week Five: 48 Boxes

Final Answer: 96 Boxes

(Add them all together)

Week Three: 12 Boxes

Week Four: 24 Boxes

Week Five: 48 Boxes

Final Answer: 96 Boxes

(Add them all together)

Solution 2

If she wants to double the number of cookies she sells, then you just multiply by 2.

Week 1: 3 cookies

Week 2: 6 cookies

Week 3: 12 cookies

Week 4: 24 cookies

Week 5: 48 cookies

3+6+12+24+48 = 93.Â

All together, she sold 93 cookies.Â

Hope this helped! :)

Week 1: 3 cookies

Week 2: 6 cookies

Week 3: 12 cookies

Week 4: 24 cookies

Week 5: 48 cookies

3+6+12+24+48 = 93.Â

All together, she sold 93 cookies.Â

Hope this helped! :)

Question

It takes a hose 2 minutes to fill a rectangular aquarium 8 inches long, 9 inches wide, and 13 inches tall. How long will it take the same hose to fill an aquarium measuring 21 inches by 29 inches by 30 inches?

Solution 1

To make it easier,Â you calculate the volume of the first aquarium.

1st aquarium:

V = L x W x H

V = 8 x 9 x 13

V = 72 x 13

V = 936 in.

Rate: 936 in./2 min.

Now that you've got the volume and rate of the first aquarium, you can findÂ how many inches of the aquarium is filled within a minute, which isÂ alsoÂ known as the unit rate. To do that, you have to divide both the numerator and denominator by their least common multiple, which is 2.Â 936 divided by 2 is 468 and 2 divided by 2 is 1.

So the unit rate is 468 in./1 min. Now that you've got the unit rate, you can find out how long it'll take to fill the second aquarium up by finding its volume first.

2nd aquarium:

V = L x W x H

V = 21 x 29 x 30

V = 609 x 30

V 18,270 inches

Calculations:

Now, you divideÂ 18,270Â by 468 to find how many minutes it will take to fill up the second aquarium. 18,270 divided by 468Â is about 39 (the answer wasn't exact, so I said "about").

Â

2nd aquarium's rate:

18,270 in./39 min.

As a result, it'll take aboutÂ 39 minutes to fill up an aquarium measuring 21 inches by 29 inches by 30 inches using the same hose. I really hope I helped and that you understood my explanation! :)Â If I didn't, I'm sorry. I tried. :(

1st aquarium:

V = L x W x H

V = 8 x 9 x 13

V = 72 x 13

V = 936 in.

Rate: 936 in./2 min.

Now that you've got the volume and rate of the first aquarium, you can findÂ how many inches of the aquarium is filled within a minute, which isÂ alsoÂ known as the unit rate. To do that, you have to divide both the numerator and denominator by their least common multiple, which is 2.Â 936 divided by 2 is 468 and 2 divided by 2 is 1.

So the unit rate is 468 in./1 min. Now that you've got the unit rate, you can find out how long it'll take to fill the second aquarium up by finding its volume first.

2nd aquarium:

V = L x W x H

V = 21 x 29 x 30

V = 609 x 30

V 18,270 inches

Calculations:

Now, you divideÂ 18,270Â by 468 to find how many minutes it will take to fill up the second aquarium. 18,270 divided by 468Â is about 39 (the answer wasn't exact, so I said "about").

Â

2nd aquarium's rate:

18,270 in./39 min.

As a result, it'll take aboutÂ 39 minutes to fill up an aquarium measuring 21 inches by 29 inches by 30 inches using the same hose. I really hope I helped and that you understood my explanation! :)Â If I didn't, I'm sorry. I tried. :(

Solution 2

Answer:

Step-by-step explanation:

6086

Question

The next stop on the road trip is the zoo! jacob goes to find his favorite animal, the giraffe. jacob wonders how tall the tallest giraffe at the zoo is. if jacob is 5 feet 6 inches and his shadow at the time is 3 feet long, find the height of the giraffe whose shadow is 5 feet 9 inches at the same time.

Solution 1

1 foot = 12 inches

Height of Jacob = 5 feet 6 inches = 5 *12 + 6 = 66 inches

Jacob's shadow = 3 feet = 36 inches

giraffe's shadow = 5 feet 9 inches = 5 * 12 + 9 = 69 inches

by the ratio and proportion

âˆ´ Height of Jacob/Jacob's shadow = Height of giraffe/giraffe's shadow

âˆ´ 66/36 = Height of giraffe/69

âˆ´ Height of giraffe = 69 * 66/36 = 126.5 inches = 10 feet 6.5 inches

Height of Jacob = 5 feet 6 inches = 5 *12 + 6 = 66 inches

Jacob's shadow = 3 feet = 36 inches

giraffe's shadow = 5 feet 9 inches = 5 * 12 + 9 = 69 inches

by the ratio and proportion

âˆ´ Height of Jacob/Jacob's shadow = Height of giraffe/giraffe's shadow

âˆ´ 66/36 = Height of giraffe/69

âˆ´ Height of giraffe = 69 * 66/36 = 126.5 inches = 10 feet 6.5 inches

Solution 2

The **height **of the **giraffe **whose **shadow **is 5 feet 9 inches at the **same **time will be 10 **feet **and 6.5 inches.

A **ratio **is an ordered set of **integers **a and b expressed as a/b, with b **never equaling **0. A proportional is a **mathematical **expression in which **two **things are **equal**.

The **next **stop on the **road **trip is the **zoo**.

Jacob goes to **find **his favorite **animal**, the **giraffe**.

Jacob **wonders **how tall the tallest **giraffe **at the **zoo **is.

If **Jacob **is 5 feet 6 inches and his **shadow **at the time is 3 **feet **long.

Then the **height **of the **giraffe **whose **shadow **is 5 feet 9 inches at the **same **time will be

Let x be the **hieght **of the **giraffe**. Then we have

The **ratio **will **remain **constant.

x / 5.75 = 5.5 / 3

x = 10.54

x = 10 feet 6.5 inches

More about the **ratio **and the **proportion **link is given below.

#SPJ2

Question

The figure has 60 edges and 30 vertices. Use Eulerâ€™s formula to find the number of faces in the given polyhedron.

Solution 1

Let the number of faces â‡’â‡’â‡’ F

Number of VerticesÂ Â Â Â Â Â Â â‡’â‡’â‡’ V

Number of EdgesÂ Â Â Â Â Â Â Â Â â‡’â‡’â‡’ E

Euler's Formula â‡’â‡’â‡’â‡’â‡’ F + V âˆ’ E = 2

given:â‡’â‡’â‡’ 60 edges and 30 vertices

âˆ´ E = 60Â Â Â andÂ Â Â V = 30

âˆ´ F + 30 - 60 = 2

âˆ´ F = 2 + 60 - 30 = 32

Number of faces = 32

Number of VerticesÂ Â Â Â Â Â Â â‡’â‡’â‡’ V

Number of EdgesÂ Â Â Â Â Â Â Â Â â‡’â‡’â‡’ E

Euler's Formula â‡’â‡’â‡’â‡’â‡’ F + V âˆ’ E = 2

given:â‡’â‡’â‡’ 60 edges and 30 vertices

âˆ´ E = 60Â Â Â andÂ Â Â V = 30

âˆ´ F + 30 - 60 = 2

âˆ´ F = 2 + 60 - 30 = 32

Number of faces = 32

Question

A ball is thrown from 4 feet off the ground with a vertical velocity of 30 feet per second. Is the ball at its maximum height after 1 second? In two or more complete sentences, explain how you know whether or not the ball is at its maximum height.

Solution 1

At maximum height, the velocity of the ball is zero. In other words, the ball is momentarily at rest at maximum height beforeÂ it starts falling down.

The following equation explains this scenario:

v=u-gt, but v = 0

Therefore,

0=u-gt => u = gt, u = 30 ft/s, g = 9.81 m/s^2 = 32.174 ft/s^2

Substituting;

t = u/g = 30/32.172 = 0.9324 secondsÂ â‰ˆ 1 second

The following equation explains this scenario:

v=u-gt, but v = 0

Therefore,

0=u-gt => u = gt, u = 30 ft/s, g = 9.81 m/s^2 = 32.174 ft/s^2

Substituting;

t = u/g = 30/32.172 = 0.9324 secondsÂ â‰ˆ 1 second

Solution 2

Answer:

0.9375sec.

Step-by-step explanation:

Using the motion formula: V= u - gt

At Max. Height, V=0, taking t=32ft/sec^2

Thus: 0 = 30 - 32t

32t = 30

t=30/32

t= 0.9375sec

Therefore,

it will take 0.9375seconds which is less than 1 second to reach maximum height, then the ball starts descending. Just after 1 sec, ball is below its maximum height and in downward motion.

Question

Ginger wanna join a gym.she goes to the local gym and is told that there is a one-time fee of $100 to join and then a monthly fee of $30.if she belongs to the gym for one year then the 12th month is free.how much will a one year membership cost her?

Solution 1

100+30m from the last problem

100+30(11)

100+330

430 dollars, which is highway robbery..

100+30(11)

100+330

430 dollars, which is highway robbery..

Question

Choose as many answers as apply. An employee can legitimately claim the following as exemptions:
A. family pet
B. self
C. dependents
D. neighbor's cousin Al

Solution 1

**Answer:**

An employee can legitimately claim the following as exemptions:

B. Self

C. Dependents

**Step-by-step explanation:**

We know that an employee can claim the health and medical insurance ( which is also known as Medicare and Social security deductions) Â for himself or for himself, his/ her spouse and his family members or dependents.

**Hence, Â **

**An employee can legitimately claim the following as exemptions:**

**B. Â Self**

**C. dependents.**

Hence, option B and C are the correct options.

Solution 2

B is the answer hope i helped

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