If the product of 2 3/4 and 2 3/5 is added to the quotient of 5/7 and 4/7, what is the sum? write the solution as a mixed number or a fraction in lowest terms.
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Answer:

[tex]Rate = 15[/tex]

Step-by-step explanation:

Given

[tex]R(x) = 56 - 0.020x^2[/tex]

Required

Find the average change from​ 1,000 car seats to​ 1,050 car seats --- Missing information

This is calculated using:

[tex]Rate = \frac{R(b) - R(a)}{b-a}[/tex]

In this case:

[tex]a = 1000[/tex]

[tex]b = 1050[/tex]

Now, we have:

[tex]Rate = \frac{R(1050) - R(1000)}{1050-1000}[/tex]

[tex]Rate = \frac{R(1050) - R(1000)}{50}[/tex]

Calculating R(1050)

[tex]R(1050) = 56 *1050- 0.020*1050^2[/tex]

[tex]R(1050) = 58800-22050[/tex]

[tex]R(1050) = 36750[/tex]

Calculating R(1000)

[tex]R(1000) = 56 *1000- 0.020*1000^2[/tex]

[tex]R(1000) = 56000- 20000[/tex]

[tex]R(1000) = 36000[/tex]

So:

[tex]Rate = \frac{R(1050) - R(1000)}{50}[/tex]

[tex]Rate = \frac{750} {50}[/tex]

[tex]Rate = 15[/tex]

The average rate of change is 12

Given:

Brianna had a garden Box that is 8' by 12'.

She decided to reduce it by a scale factor of [tex]\dfrac{1}{2}[/tex].

To find:

The area of her new garden.

Solution:

Let the length and width  of the original garden are 8 ft by 12 ft respectively.

Reduce the dimensions by a scale factor of [tex]\dfrac{1}{2}[/tex].

Length of the new garden is

[tex]\dfrac{8\ ft}{2}=4\ ft[/tex]

Width of the new garden is

[tex]\dfrac{12\ ft}{2}=6\ ft[/tex]

Now, the area of the new garden is

[tex]Area=Length\times Width[/tex]

[tex]Area=(4)\times (6)[/tex]

[tex]Area=24[/tex]

Therefore, the area of the new garden is 24 sq. ft.

Answer:

Annika is saving more money than Eva

Step-by-step explanation:

first I divide 9000 by 509 and got 17.68 then I multiplied that by 4 and got 70.72 so that is what eva makes a week in us dollars

Answer:

46.6 inches in 5 years

Step-by-step explanation:

Answer: 46.6 inches in five years

Step-by-step explanation:

SO you wanna multiply 7.9 by 5 to get your grand total

Answer:

74

Step-by-step explanation:

Answer:

[tex]Rate = 0.13[/tex]

Step-by-step explanation:

Given

[tex]y = \sqrt[3] x[/tex]

Required

Determine the average rate of change over [2,7]

This is calculated as:

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

In this case:

[tex]b = 7[/tex] and [tex]a = 2[/tex]

So, we have:

[tex]Rate = \frac{f(7) - f(2)}{7-2}[/tex]

[tex]Rate = \frac{f(7) - f(2)}{5}[/tex]

From the table:

f(7) = 1.91

f(2) = 1.26

[tex]Rate = \frac{1.91 - 1.26}{5}[/tex]

[tex]Rate = \frac{0.65}{5}[/tex]

[tex]Rate = 0.13[/tex]

Answer:

1,137.24

Step-by-step explanation:

Every worksheet is made up of thousands of rectangles, which are called cells. A cell is the intersection of a row and a column—in other words, where a row and column meet. Columns are identified by letters (A, B, C), while rows are identified by numbers (1, 2, 3).

So all you do is multiply like if you were finding the area:

35.1 x 32.4 = 1137.24.

Answer:

See below, please!

Step-by-step explanation:

There are infinite number of ratios equivalent to 3:8 because both numbers can be multiplied by a common number or divided by a common number.

For example, 9:24 would still be equivalent to 3:8 because the common number in our case is 3. See what I mean?

Hope this helped!

Answer: 3y+5

Step-by-step explanation: 4y+3−(y−2)

4y+3+−1(y−2)

4y+3+−1y+(−1)(−2)

4y+3+−y+2

(4y+−y)+(3+2)

3y+5

9514 1404 393

Answer:

  60 cm

Step-by-step explanation:

The model ship will be x feet long, where ...

  x/100 = 1/50

  x = 100/50 = 2

In meters, that is ...

  2(0.3 m) = 0.6 m

A meter is 100 cm, so the length in centimeters is ...

  (0.6)(100 cm) = 60 cm

There is not image we cannot see the picture

Souljem

Step-by-step explanation:

souljem yes yes yes

Answer:

24

Step-by-step explanation:

1/8+ 3/8= 1/2

1/2 od 48 is 24.

Answer:

36

Step-by-step explanation:

75%=0.75

0.75*48=3/4*48=144/4=36

Answer:

75% of 48 is 36.

Step-by-step explanation:

So, what I did here was to first find out what 25% of 48 is, because 75% is 25% multiplied by 3.

50% of 48 = 24

Since 25% is half of 50% all we have to do is divide by 2.

24 ÷ 2 = 12.

Now, we multiply by 3.

12 * 3 = 36

So, the answer is 36.

Hope this helps! :)

Answer:

3/4

Step-by-step explanation:

that's as simple as it gets

Answer:

6/8 of a chapter

Step-by-step explanation:

3/8 = 1/2 of an hour

1/2 + 1/2 = 1

Basic Fact ^^

So, we need to add 3/8 + 3/8 or 3/8 x 2

We get : 6/8

He didn't read a whole chapter but he did read 6/8 of a chapter.

Answer:

Step-by-step explanation:

There are 60 min in an hour - 1/5 of an hour=20mim

3/8 x 5 = 15/8 = 1 & 7/8 chapters

Answer:39/50

Step-by-step explanation:

Answer:

5.04

Step-by-step explanation:

=> 52 -3.5y -4y = 4y -6

Take everything with y to left and numbers to right

=> -3.5y -4y -4y = -52 -6

=> -11.5y = -58

=> 11.5 y = 58

=> y = 58/11,5= 5.04

Answer:

. With each 9s fact you add another 9, which means you go straight down a row and back one space. This creates a diagonal pattern in the grid.

Step-by-step explanation:

The number 99 is divisible by 9 . The number 999 is divisible by 9 , and so on. Any number that is a string of nines is divisible by 9 as it is 9 multiplied by a string of ones. This adds one to the sum of its digits, but you wind up with a number one more than a multiple of 9.

have a nice day and sorry f it is wrong >< T_T

Answer:

62 degrees.

Step-by-step explanation:

What you will have here is a right triangle. For the vertical put 12 ft and for the horizontal put 23 ft. You are trying to find the angle between the verticle and hypotenuse. This is what tangent is used for since you know the opposite and you know the adjacent lengths.

But since you are trying to find the angle you need to do an inverse tangent (also called arctangent)

ArctanФ = Adj/opposite

ArctanФ = 12/23 = 27.47 degrees. Rounded to the nearest degree is 27 degrees, if it wants rounded up its 28 degrees.

The angle of depression from Coach Jump to the quarterback is 27.6°.

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

In this diagram,

C represents Coach Jump,

B represents the base of the platform,

θ represents the angle of depression from Coach Jump to the quarterback.

Now,

We want to find θ.

We can use the tangent function,

So,

tan Ф = 12/23

Ф = [tex]tan^{-1}[/tex] 12/23

Ф = 27.55°.

Thus,

The angle of depression from Coach Jump to the quarterback is 27.6°.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ2

Answer:

10 dollar bill, 5 dollar bill, and one dollar.

Answer:

Part A: Venti

Part B: (Check the Step-by-step explanation)

Step-by-step explanation:

The unit rate for these drinks is ounce per $.

Tall: 12 oz/$3.55 ≈ 3.38 oz/$

Grande: 16 oz/$4.25 ≈ 3.76 oz/$

Venti: 20 oz/$4.55 ≈ $4.40/oz

Out of all of these, the unit rate for the Venti is the greatest.

Answer:

After next 24 hours, bacterial population would be [tex]1433[/tex]

Step-by-step explanation:

The initial bacterial count at time = 0  was [tex]100[/tex]

At [tex]= 24[/tex] hours, the bacterial count increased up to [tex]305[/tex]

At [tex]= 48[/tex] hours, the bacterial count increased up to [tex]897[/tex]

As we know that

[tex]P = P_0 * e^{rt}[/tex]

The growth rate of bacterial population is equal to

[tex]r = \frac{log\frac{P}{P_0} }{t}[/tex]

Substituting the above values we get -

[tex]r = \frac{log\frac{897}{305} }{24}\\r = 0. 0195[/tex]

Count of bacteria after next 24 hours

[tex]P = 897 * e^{ 0.0195 * 24)\\P = 1433[/tex]

Answer:

if ur solving for x the answer is x=-1

Step-by-step explanation:

-15 - 4x = -11

=> -4x = -11 + 15

=> -4x = 4

[tex] = > x = \frac{4}{ - 4} [/tex]

=> x = -1 (Ans)

Answer:

Jordan will have $96 in all after 6 weeks of saving.

Expression will be f(w)= 60+ 6w

brainliest please

Answer:

8. 548.9       9.349.3

Step-by-step explanation:

10% of 499 is 49.9

30% of 499 is 3*49.9=149.7

499+49.9=548.9

499-149.7=349.7