A basketball team has eight boys and four girls on the roster. The boys average 12 points each. The team averages 136 points as a whole. How many points does each girl average?

646-54 = 592

592/2 = 296

296+54 = 350

350+296 = 646

 there were 350 hamburgers and 296 cheeseburgers sold

Answer:

(0,0)

Step-by-step explanation:

We have,

U = { (x,y) : x,y belong to real numbers }

A = { (x,y) : (x,y) is a solution of y=x }

B = { (x,y) : (x,y) is a solution of y=2x }

We need to find the ordered pair (x,y) that belong to A[tex]\bigcap[/tex]B.

Let, (x,y) belong to A[tex]\bigcap[/tex]B

i.e. (x,y) belong to A and (x,y) belong to B

i.e. y = x and y = 2x

i.e. x = 2x

i.e. x = 0

Now, substitute x= 0 in any of the equation say y = x, we get y = 0.

Hence, the ordered pair satisfying A[tex]\bigcap[/tex]B is (0,0).

For a set U, The ordered pair satisfies A ∩ B is mathematically given as

x = 0,  y = 0 (0,0)

Question Parameter(s):

U = {ordered pairs on a coordinate plane}

A = {ordered pair solutions to y = x}

B = {ordered pair solutions to y = 2x}

if  (x,y) belongs to AnB

y = x and y = 2x

x = 0

In conclusion, subsituting we have

y = x and y = 2x

y = 0

Read more about Arithmetic

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Answer:

[tex]f(n) = 1.9 +0.6n[/tex]

Step-by-step explanation:

The nth term of the arithmetic sequence is given by:

[tex]a_n = a_1+(n-1)d[/tex]            ....[1]

where

[tex]a_1[/tex] is the first term

d is the common difference and n is the number of terms.

Here, f(n) represent diameter in centimeters and n the term number in the sequence.

Given the sequence represents the diameters of circles used to create an art project:

2.5 cm, 3.1 cm, 3.7 cm , 4.3 cm

This sequence is an arithmetic sequence with

[tex]a_1[/tex] = 2.5 and d = 0.6

Since,

3.1-2.5 = 0.6,

3.7-3.1 = 0.6

4.3-3.7 = 0.6

Substitute the given values in [1] we have;

[tex]f(n) =2.5+(n-1)(0.6)[/tex]

Using distributive property, [tex]a\cdot (b+c) = a \cdot b+ a\cdot c[/tex]we have;

[tex]f(n) = 2.5+0.6n-0.6[/tex]

Simplify:

[tex]f(n) = 1.9 +0.6n[/tex]

Therefore, the equation represents the sequence of diameters is, [tex]f(n) = 1.9 +0.6n[/tex]

Answer:

False

The correct point slope form passing through points (x1,y1) is [tex](y-y1)=m (x-x1)[/tex] .

Step-by-step explanation:

The formula for the point slope form passing through the point (a,b) is given by.

[tex](y-b)=m (x-a)[/tex]

Where m is the slope .

As given in the question.

m is the slope and (x1, y1) is a point on the line.

Thus the point slope form becomes

[tex](y-y1)=m (x-x1)[/tex]

Therefore the correct point slope form passing through points (x1,y1) is [tex](y-y1)=m (x-x1)[/tex] .

a corner of a cube connects 3 sides to each other,

 then add the side of the cut

 so it would have 4 sides

0 to 1 is broken down into 9 equal spaces

the dot is on the 5th line

 so it would be 5/9

Answer: The  average rate of change of f(t) from t = 2 to t = 6 is 1.5 thousand owners per year.

Step-by-step explanation:

Given: The function below shows the number of car owners f(t), in thousands, in a city in different years t:

[tex]f(t) = 0.25^2 - 0.5t + 3.5[/tex]

Now,

[tex]f(2) = 0.25(2)^2 - 0.5(2) + 3.5=3.5\\\\= f(6) = 0.25(6)^2-0.5(6)+ =9.5[/tex]

Now, the  average rate of change of f(t) from t = 2 to t = 6 is given by :-

[tex]k=\dfrac{f(6)-f(2)}{6-2}\\\\=\dfrac{9.5-3.5}{4}=1.5[/tex]

Hence, the  average rate of change of f(t) from t = 2 to t = 6 is 1.5 thousand owners per year.

Answer:

C

Step-by-step explanation:

I just did it on edge 2021 :)

The equation is

4(q-10)=76

The amount of questions is

29 questions

Answer:

$0.80x + $1.25y = z

Step-by-step explanation:

the total money spent if the Baker bought 6 pounds of butter and 20 pounds of sugar would be $23.50.

The total money spent if the Baker bought 6 pounds of butter and 20 pounds of sugar would be $23.50.

An expression is combination of variables, numbers and operators.

Given,

The baker pays $0.80 per pound for sugar

The baker pays $1.25 per pound for butter.

We need to write expression that shows how much the baker will spend if he buys 6 pounds of butter and 20 pounds of sugar.

Let x be the pounds for sugar

x be the pounds for butter

20x+6y=Total

As x=0.80 and y=1.25

20(0.80)+6(1.25)

16+7.5

23.5

Hence, the total money spent if the Baker bought 6 pounds of butter and 20 pounds of sugar would be $23.50.

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D. All counting numbers are whole numbers.

All integers are counting numbers. This is not true. Counting numbers (also known as natural numbers) are positive whole numbers starting from 1, 2, 3, and so on. Integers include all positive and negative whole numbers, as well as zero. Thus, not all integers are counting numbers.

All rational numbers are integers. This is not true. Rational numbers include all fractions where the numerator and denominator are integers (denominator not zero). For example, 1/2 is a rational number but not an integer.

All integers are whole numbers. This is not true. Whole numbers include all non-negative integers (0, 1, 2, 3, ...), but integers also include negative numbers, which are not whole numbers.

Counting numbers (1, 2, 3, ...) are included in the set of whole numbers, which consists of all non-negative integers (0, 1, 2, 3, ...).