a pizza has a diameter of 16 inches what is the area of the pizza leave answer in terms of pie

The solution of the equation is x = 0 and y = 8.

Given

The system of equation is;

[tex]\rm -5x + 5y = 40\\\\4x + 3y = 24[/tex]

Any system of equations can be solved in different methods. To solve a system of equations in 2 variables, we need at least 2 equations following all the steps given below.

From equation 1

[tex]\rm -5x+5y=40\\\\5y=40+5x\\\\y = \dfrac{40+5x}{5}\\\\y = 8+x[/tex]

Substitute the value of y in equation 2

[tex]\rm 4x+3y=24\\\\4x+3(8+x)=24\\\\4x+24+3x=24\\\\7x=24-24\\\\7x=0\\\\x=0[/tex]

Substitute x = 0 in the equation 1

[tex]\rm -5x+5y=40\\\\-5(0)+5y=40\\\\5y=40\\\\y=\dfrac{40}{5}\\\\y=8[/tex]

Hence, the solution of the equation is x = 0 and y = 8.

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Answer:

69

Step-by-step explanation:

Hey there! To find the 20th term of arithmetic sequence, we can do by using general terms.

General Term - Arithmetic

[tex]\displaystyle \large{a_n = a_1 + (n-1)d}[/tex]

where a_n is nth term, a_1 is the first term and d is our common difference.

We know the first term which is 12 and we want to find the 20th term which is our desired term.

Hence, the equation is [tex]\displaystyle \large{a_{20} = 12+(20-1)d}[/tex]

However, we don’t know the value of d yet which is common difference. To find the common difference, we can do by subtracting next term with previous term.

15-12 = 3

18-15 = 3

21-18 = 3

If we keep doing it, we’ll always get 3. Therefore, 3 is our common difference.

[tex]\displaystyle \large{a_{20}=12+(19)3}\\\displaystyle \large{a_{20}=12+57}\\\displaystyle \large{a_{20}=69}[/tex]

Thus, the 20th term is 69.

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Learn More:

Answer:

Step-by-step explanation:

Unit rate is the slope,

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

[tex]y=6x[/tex]

[tex]m=6[/tex]

Therefore, 6/1 is your answer

Hope it helps!

Answer: S65. 9˚E is your answer.

Step-by-step explanation:

Answer:

B. S65.9°E

Step-by-step explanation:

edge

Answer:

4

Step-by-step explanation:

The volume of a cube can be represented as s^3 = v, where s = side and v = volume. In this case, we're given the volume as 64, so s^3 = 64. To solve this problem, we first have to know what a cube root is.

What's a cube root?

Given the information above, let's go in order with the list of cube roots to see which one has a cube of 64.

We found the cube root of 64, or the side of the cube with a volume of 64. The side of the cube, therefore, is 4.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer: A relation has an input value which corresponds to an output value. When each input value has one and only one output value, that relation is a function. Functions can be written as ordered pairs, tables, or graphs. The set of input values is called the domain, and the set of output values is called the range.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

4 ounces   IF...

Step-by-step explanation:

(16 ounces to a pound)

are they asking how much each peach weighs? (16/4=4)

Answer:

1.8828 quarts of blue paint

2.1172 quarts of red paint

(check the explanation for more round off variations)

Step-by-step explanation:

Convert both fractions to decimals

[tex]\frac{2}{3}[/tex] = 0.667

[tex]\frac{3}{4}[/tex] = 0.75

Then turn the decimals to percentages

66.7%

75%

Then rewrite it as a fraction to find the missing percentages

75% : 1.417 = x : 1

Solve for x

x = 52.93

Then do this again for 66.7%

66.7% : 1.417 = x : 1

Solve for x

x = 47.07

Then find the values of these percentages relating to 1

47.07% of 1 is 0.4707

52.93% of 1 is 0.5293

Now we have how much blue paint and red paint is in each quart of purple paint

Multiply them by 4 to get the total

0.4707 x 4 = 1.8828

0.5293 x 4 = 2.1172

Now we have:

1.8828 quarts of blue paint

2.1172 quarts of red paint

Now if you want it to be rounded off to the nearest tenths or hundredths

1.8828 = 1.9 (hundredths = 1.88)

2.1172 = 2.1 (hundredths = 2.12)

Answer:

13.5 meters

Step-by-step explanation:

25 / 2 = 13.5

because if a human is 3 meters tall and cast 2 times the length of himself then if a building casts 25 meters then it should be 2 times less than its shadow.

Answer:

439.2 miles

Step-by-step explanation:

multiply the days she traveled to the amount of mile she traveled a day

8×59.4 =439.2 miles

Answer:

The unknown sides (x) are 6 ft. long

Step-by-step explanation:

Add it all together:

x+x+5+7+10+10+12+14=70

Simplify a little more:

2x+58=70

Subtract 58 from both sides

2x+58 -58=70-58

Solve

2x=12

Divide by 2 on both sides

2/2x=12/2

Solve

x = 6

The unknown sides (x) are 6 ft. long

Have a nice day!

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Answer:

20:5 - If you're going to simplify it, do 20/5 which is 4/1.

Step-by-step explanation:

Answer:

A = 7

C = 9

Step-by-step explanation:

A = (pi)r^2

diameter = 3
3/2 = 1.5
A = (pi)1.5^2
A = (pi)2.25
A = 7

C = 2(pi)r
diameter = 3
3/2 = 1.5
C = 3(pi)
C = 9

Answer:

Warm Up = C

Step-by-step explanation: to figure out what percepof something is you move the percentage over to spaces and add a decimal, and then you multiply it by what you’re trying to find the percentage of

Answer:

A,D,E,F

Step-by-step explanation:

all these points fall into the graph while the others do not

NOT E and F because D also falls into the graph!

x = 2, y = 9, and the side length of the square is 6 units.

A square is a quadrilateral that has four equal lengths, that is, all its sides are equal.

Thus:

y - 6 = 2y - 15

y - 2y = 6 - 15

-y = -9

y = 9

Also:

3x - 3 = y - 6

3x - 3 = 9 - 6

3x - 3 = 3

3x = 3 + 3

3x = 6

x = 2

Therefore, the sides would be:

y - 6 = 9 - 6 = 3 units

In summary, x = 2, y = 9, and the side length of the square is 6 units.

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One method which I find easier is converting both into fractions.
8/9 = 8/9 , and 0.9 = 9/10
Now, you have to find the least common denominator, which is 90 (9*10)

Now you have 80/90 and 81/90.
You have finished 80/90.
Your friend has finished 81/90.
81/90 > 80/90 so your friend is correct, they have done more of their project.

The value of the expression 8 - 2z + 3(x + y), when x = 4, y = 9, z = 3 is 41.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, An expression 8 - 2z + 3(x + y), Now the value of this expression at

x = 4, y = 9 and z = 3 can be obtained by replacing the numerical values of z, y, and z.

Therefore, 8 - 2z + 3(x + y), when x = 4, y = 9, z = 3 is,

= 8 - 2(3) + 3(4 + 9).

= 8 - 6 +3(13).

= 8 - 6 + 39.

= 2 + 39.

= 41.

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Answer:

30°

Step-by-step explanation:

Solve the blank angle for the bottom triangle. The sum of all the angles of a triangle is equal to 180. 75° + 75° = 150°. 180° - 150° = 30°. The missing angle of the bottom triangle is 30°. Angle x is equal to the blank angle of the bottom triangle. Therefore, x = 30°.

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Answer:

the possible combinations are (86,98) and (160,39)

The possible combinations are (86,98) and (160,39)

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

Student Council is selling t-shirts and hats for $15 and $12, respectively.

let number of t- shirts sold be x and number of hats be y.

So, 15x+ 12y  ≥ 1980

From the graph the inequality gives

x= 130 and y= 165.

Hence, 130 t shirts and 165 hats must be sold.

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Answer:

Solution,

An equation for the question is

4(q+p)

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

The missing angle of the 90-55-x triangle is 180-90-55=90-55=35

The missing angle of the 90-35-x triangle is 180-90-35=90-35=55.

Because both triangle have angles 90º, 55º, and 35º, they should be congruent, right?

Wrong, AAA determines similarity and not congruence. We need SSS, SAS, AAS, or ASA and AAA is not one of those.

The answer to the question is 326.

(237+482+375+210) ÷ 4

Step-by-step explanation:

so, again, the average or mean value is created by adding up all values and then dividing that by the number of values.

we have 4 values here.

they add up to

237+482+375+210 = 1304

and then

1304 / 4 = 326

By using the general equation for a circle, we will see that the correct option is:

(x - 2)^2 + (y - 3)^2 = 36

The general equation for a circle centered at the point (a, b) of radius R is given by:

(x - a)^2 + (y - b)^2 = R^2

In this case, the center is (2, 3) and the radius is R = 6 units, replacing that in the above equation we get:

(x - 2)^2 + (y - 3)^2 = 6^2

(x - 2)^2 + (y - 3)^2 = 36

So the correct option is B.

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The equaton of the circle will be (x - 2)² + (y - 3)² = 6²

The standard equation of a circle is expressed as;

(x-a)² + (y-b)² = r²

where:

Given the following

r = 6units

(a, b) = (2,3)

Substitute

The equation of the circle will be (x - 2)² + (y - 3)² = 6²

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hope it helps.