Evaluate for F when C= 20°.
F=9/5C+32​

Answer:

4.28

Step-by-step explanation:

Answer:

There is no unique solution to this problem and there are infinite number of possible solutions which can satisfy these equations.

Step-by-step explanation:

Let S represents Prana's savings account and C represents Prana's chequing account.

Prana has a savings account and a chequing  account with a total balance of $85.

Mathematically,

S + C = 85      eq. 1

His parents doubled the amount in each  account and the new total balance is $170.

Mathematically,

2(S + C) = 170

2S + 2C = 170      eq. 2

We have two equations and two unknowns.

S + C = 85

S = 85 - C

Substitute the above equation into eq. 2

2S + 2C = 170

2(85 - C) + 2C = 170

170 - 2C + 2C = 170

2C + 2C = 170 - 170

0 = 0

So what does it mean?

it means that there is no unique solution to this problem and there are infinite number of possible solutions which can satisfy these equations.

Answer:

[tex]9 \frac{1}{3} {cm}^{3} [/tex]

Step-by-step explanation:

[tex]v = whl \\ = 2 \times 2 \times \frac{7}{3} \\ = 4 \times \frac{7}{ 3} \\ = \frac{28}{3} {cm}^{3} = 9 \frac{1}{3} {cm}^{3} [/tex]

hope this helps

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good luck! have a nice day!!

Answer:

the answer is attached to the picture

Answer:

Step-by-step explanation:

Area of a sector = [tex]\frac{\theta}{360} * \pi r^{2}[/tex]

Given radius r = 10units

[tex]\theta = \frac{2\pi}{5}[/tex]

[tex]\pi = 3.14[/tex]

substituting the given values into the equation above;

Area of the sector = [tex]\frac{2\pi}{5*360} * \pi *10^{2}[/tex]

Area of the sector [tex]=\frac{100\pi}{5}[/tex]

Area of the sector = [tex]20\pi units^{2}[/tex]

Answer:

4 Over 5  (4/5)

Step-by-step explanation:

we have

[tex]y=\frac{4}{5}x-3[/tex]

This is the equation of a line in slope intercept form

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-intercept

In this problem we have

[tex]m=\frac{4}{5}[/tex]

[tex]b=-3[/tex]

therefore

The slope is [tex]\frac{4}{5}[/tex]

The slope of the given line is equivalent to 4/5.

The equation of a line in slope intercept form is expressed as y = mx + b

where:

m is the slope

b is the y-intercept

Given the equation of a line y = 4/5x. - 3, we are to determine its slope

In this case, the coefficient of x is (4/5), which represents the slope of the line.

m = 4/5

Therefore, the slope of the line is 4/5.

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Answer: 42/11 = 21/5.5

Step-by-step explanation:

1) Since the hypotenuse is 42 for one of the triangles it must be similar to the other triangles hypotenuse, 11.

2) Therefore, the ratio is 42/11.

3)The adjacent sides to the right angle are 21 and 5.5.

4)Therefore, the ratio is 21/5.5

Step-by-step explanation:

An explanatory variable is a type of independent variable. The two terms are often used interchangeably. But there is a subtle difference between the two. When a variable is independent, it is not affected at all by any other variables. When a variable isn’t independent for certain, it’s an explanatory variable.

Let’s say you had two variables to explain weight gain: fast food and soda. Although you might think that eating fast food intake and drinking soda are independent of each other, they aren’t really. That’s because fast food places encourage you to buy a soda with your meal. And if you stop somewhere to buy a soda, there’s often a lot of fast food options like nachos or hot dogs. Although these variables aren’t completely independent of each other, they do have an effect on weight gain. They are called explanatory variables because they may offer some explanation for the weight gain.

The line between independent variables and explanatory variables is usually so unimportant that no one ever bothers. That’s unless you’re doing some advanced research involving lots of variables that can interact with each other. It can be very important in clinical research. For most cases, especially in statistics, the two terms are basically the same.

An explanatory variable is an independent variable.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given:

A variable is an explanatory variable.

A researcher-manipulated variable is an explanatory variable when it comes to an experiment.

It serves as a measurement of the change brought about in the response variable.

A predictor variable or an independent variable are terms that are frequently used to describe an explanatory variable.

Therefore, an explanatory variable is an independent variable.

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Answer:

x = 9, y = 29 or (8,29)

Step-by-step explanation:

Set the equations equal to each other because they both equal y:

4x - 3 = 2x + 13

Combine like terms:

2x = 16

Divide by 2:

x = 8

Plug 8 into the x for both equations and see if the y is the same:

y = 4(8) - 3 = 32 - 3 = 29

y = 2(8) + 13 = 16 + 13 = 29

Answer: 4 3/8

Step-by-step explanation:

If he walks 7/8 every 1/5 of an hour, we can multiply that by 5 to get how much he travels every hour. 7/8 * 5=35/8. 35/8 simplifies to 4 3/8

Answer:

8 sides

The building is an octagon

Step-by-step explanation:

The sum of all the interior angles in a polygon can be found by the equation

S

=

180

(

n

−

2

)

where

n

is the number of sides the polygon has.

We know that one interior angle is

135

degrees and that all the interior angles are the same because this is a regular polygon. So the sum of the angles must be

135

n

(

135

degrees times the number of sides, or the number of angles).

135

n

=

180

(

n

−

2

)

135

n

=

180

n

−

360

135

n

+

360

=

180

n

45

n

=

360

n

=

8

→

There are

8

sides and

8

interior angles of

135

degrees

Answer:

x=26

Step-by-step explanation:

3x +12 =90

subtract 12 from each side

3x=78

divide 3 from each side

x=26

Answer:

x = 26

Step-by-step explanation:

Before we begin, we must first remember that to solve for x, we have to get the variable (x) by itself.

To start, you would first subtract 12 from the left and right side of the equation.

3x + 12 - (12) = 90 - (12)

The 12 would cancel out on the left side (12 - 12 = 0) and you would now be left with 3x = 78.

Next, you would divide the left and ride side by 3.

3x ÷ 3 = 78 ÷ 3

This gives you the answer of 1x = 26 or x = 26

Answer:

b

Step-by-step explanation:

it is the only linar one

Answer:

x=53

y=26

H=106

G=93

Step-by-step explanation:

By the inscribed quadrilateral conjecture:

[tex]2x+(x+21)=180\\(3y+9)+(4y-11)=180\\3x+21=180\\3x=159\\x=53\\7y-2=180\\7y=182\\y=26\\H=2(53)=106\\G=(4(26)-11)=104-11=93[/tex]

Hope this helps!

Answer: 88 square inches

If we want to wrap the box, we need to work out its surface area - the area that will need to be covered by the giftwrap.

This box is a cuboid, so there will be six faces, with only three different areas (each face has an identical pair).

Let's say the height is 2 in, the length is 6 in and the depth 4 in.

height = 2

length = 6

depth = 4

Let's find the area of the faces that measure height x length:

2 x 6 = 12 square in

Now let's do the same thing for height x depth:

2 x 4 = 8 square in

And finally for length x depth:

6 x 4 = 24

There are two of each of these faces, so let's multiply each result by two.

12 x 2 = 24

8 x 2 = 16

24 x 2 = 48

Finally, all that's left to do is add these numbers together to find the total surface area of the cuboid.

24 + 16 + 48 = 

88 square inches

Answer:

88 square inch

Step-by-step explanation:

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.

Answer:

A rational number can be written as the ratio of two integers.

Step-by-step explanation:

Fractions (1/2), whole numbers (7 7/1), terminating decimals (2.33) repeating decimals (.222 repeating) square root of a perfect square (V-25 = 5/1) Integers (1 -2)

Answer:

Theoretical probability is based upon what is expected when rolling two dice, as seen in the "sum" table at the right. The theoretical probability of rolling an 8 is 5 times out of 36 rolls. The theoretical probability = 5/36 ≈ 13.9%. 3) The experiment rolled more 8's than would be expected theoretically.

Step-by-step explanation:

The theoretical probability of not rolling a 2 is 5/6.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

Assuming a fair six-sided die, the probability of rolling a 2 is 1/6.

Therefore, the probability of not rolling a 2 on a single roll of the die is:

P(not rolling a 2) = 1 - P(rolling a 2) = 1 - 1/6 = 5/6

Thus,

The theoretical probability of not rolling a 2 is 5/6.

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Answer:

6-16y

Step-by-step explanation:

Multiply 2 by the numbers inside the parentheses.

Answer:

See Explanation

Step-by-step explanation:

The text of the question is incomplete. However, the likely question that can be asked may imply that; "what number of corn package did she use?"

Given that

1 package of corn = 8 cups

1 serving = 1 cup

Total individual = 11

Servings per individual = 2

If there are 2 servings per individual then 1 package of corn will serve the following number of people.

1 package of corn = 8 / 2 individuals

1 package of corn = 4 individuals

Divide both sides by 4.

1 package of corn / 4 = 4 individuals / 4

¼ package of corn = 1 individual.

Re-arrange

1 individual = ¼ package of corn.

So, this means that 11 individuals will get;

[Multiply both sides by 11]

11 * 1 individual = ¼ * 11 package of corn

11 individuals = 11/4 package of corn

11 individuals = 2.75 packages of corn.

Hence, Ron will need 2.75 packages of corn for 11 individuals

Answer:

41.65

Step-by-step explanation:

"None for now"

Answer:

41.65

Step-by-step explanation:

100% - 15% = 85%

85% of 49 is 41.65 or 0.85x49=41.65

Answer:

Jada’s neighbor is 16 years of age

Step-by-step explanation:

In this question, we are interested in calculating the age of Jada’s neighbor, given the information in the question.

Let the present age of the neighbor be x years

Her age in 4 years will be x + 4 years old

Her age 4 years ago was x -4 years old

Now, the difference between twice her age in 4 years minus twice her age 4 years ago is her present age.

mathematically that means;

2(x+ 4) - 2(x -4 ) = x

2x + 8 - 2x +8 = x

16-0 = x

x = 16 years

Answer:

7(2a +7)

Step-by-step explanation:

[tex]14a+49\\=7\times 2a+7\times 7\\= 7(2a +7)[/tex]

Answer:

-25,  -23.1,   3,   12,   13

Answer:

-25, -23.1, 3, 12, 13

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

16 sq. in

Step-by-step explanation:

I think you are asking for the area. The rectangle to the right of the dotted line has dimensions of 4 by 3, so its area is 4 * 3 = 12. We know one of the small rectangle's dimensions, 2, but we don't know the height. However, we see that the difference between the heights of the two figures is 1, and we already know the height of the larger rectangle is 3, so the height of the smaller square is 2. This makes its area 2 * 2 = 4. The total area would then be 12 + 4 = 16 sq. inches. Hope this helps!

Answer:

the answer is -5

Step-by-step explanation:

1. identify the ordered pairs

2. write down the slope formula

3. replace the letters with their values

4. subtract

5. divide

the equation is y=2x+30

Answer:

A) Up and to the right

Step-by-step explanation:

On a graph, the direction of the line with points [tex](1,7)[/tex] and [tex](10, 15)[/tex] is going up to the right.

Answer:

21, 30,23, 20

Step-by-step explanation:

Answer:2,4,3,6

Step-by-step explanation:

On edg :D