The team score in a basketball game depends on the number of baskets scored in the game
A. Score(game), or S(g)
B. Score(basketball), or S(b)
C. Game(score), or G(s)
D. Team(score), or T(s)

Final answer:

Autry scored 9 times during the basketball game by multiplying the shot percentage (0.45) by the total number of shots attempted (20).

Explanation:

The student's question is, how many shots did Autry score if he made 45% of his shots and attempted 20 shots in total? To calculate this, you can use the following steps:

Convert the percentage to a decimal by dividing by 100. So, 45% becomes 0.45.

Multiply this decimal by the total number of shots attempted. In this case, 0.45 multiplied by 20 shots.

The result gives you the number of successful shots Autry made.

So, performing the calculation:

0.45 × 20 = 9

Autry scored 9 times during the basketball game.

Answer:

Option C is the correct option.

Step-by-step explanation:

In the given cosine graph we can draw some parameters of the equation as below

y = a cos(bx + c) + d

1) amplitude a = (1+3)/2=2

2) Period = π

3) phase shift = -π ( to the left)

4) Vertical shift = -1 ( downwards on y-axis)

Therefore the equation of the graph will be

y = -2cos[2(x + π)] - 1

Option C is the correct answer.

Answer:

(5x-2) and (x+2)

Step-by-step explanation:

Answer:

the factors are (5x-2)  and (x+2)

Step-by-step explanation:

5x^2 + 8x – 4

first we multiply 5  and -4= -20

product is -20  and sum is +8

find out two factors whose product is -20 and add upto +8

10 * (-2) = 20

10 +(-2)= 8

5x^2 +10x-2x – 4

group the terms and factor out GCF

(5x^2 +10x)+(-2x – 4)

5(x+2) -2(x+2)

(5x-2)(x+2)

the factors are (5x-2)  and (x+2)

Answer:

.513 is larger

Step-by-step explanation:

1st method is the thousandths place larger or smaller

.1 tenths

.01 hundredths

.001 thousandths

In this case the thousandths is larger for .513

2nd method

subtract the two number

.513 - .5129 = .0001

Since the number recieved is positive this means .513 is larger

Answer:

16x - 2y

Step-by-step explanation:

12x+4(x+y)-6y

Distributive property

=  12x + 4x + 4y -6y

Combine like terms

= 16x - 2y

Expand

12x + 4x + 4y - 6y

Collect like terms

(12x + 4x) + (4y - 6y)

Simplify

16x - 2y

X1 = -6

Y1= 1

X2= 4

Y2 = 8

8 - 1

____

4 + 6

7

_ is your answer

10

Answer:

if there are 8 7th graders there are 32 6th graders. 4*8=32

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

[tex]\frac{3!6!}{5!2!}[/tex]

n! = n * (n-1)!

For example 7!  can be written as 7 * 6!

3! is 3* 2!

6! is 6 * 5!

[tex]\frac{3!6!}{5!2!}[/tex]

[tex]\frac{3*2!6*5!}{5!2!}[/tex]

Cancel out 5!  from the top and bottom . Also cancel out 2! from top and bottom.

[tex]\frac{3*2!6*5!}{5!2!}[/tex]

3*6= 18

Answer:

6

Step-by-step explanation:

Jack would need 6 teaspoons of baking powder for 9 cups of flour to maintain the ratio given in the original recipe.

To determine how much baking powder is needed if Jack uses 9 cups of flour instead of 3, you can set up a proportional relationship because the quantity of baking powder required is directly proportional to the amount of flour used.

If the original recipe calls for 2 teaspoons of baking powder for every 3 cups of flour, for 9 cups of flour (which is 3 times as much), you would need 3 times as much baking powder. Hence, the calculation would be as follows:

2 teaspoons baking powder / 3 cups flour = x teaspoons baking powder / 9 cups flour

By cross-multiplication, we can find the value of x:

2/3 * 9 = x

x = 2 * 3 = 6 teaspoons of baking powder

Therefore, Jack would need 6 teaspoons of baking powder for 9 cups of flour to maintain the ratio given in the original recipe.

Answer:

Hello, the answer tho this question is C.) 70.7 feet.

Answer:

[tex]AC=14\sqrt{2}m[/tex]

Step-by-step explanation:

we are given trapezoid ABCD

AC is a diagonal

∠ABC ≅ ∠ACD

we know that

BC and AD are parallel

so, <DAC = <ACB

so, ΔABC ≅ΔACD

Since, both triangles are similar

so, their ratios must be equal

we get

[tex]\frac{BC}{AC} =\frac{AC}{AD}[/tex]

now, we can plug values

[tex]\frac{14}{AC} =\frac{AC}{28}[/tex]

[tex]AC^2=14\times 28[/tex]

[tex]AC^2=14^2\times 2[/tex]

[tex]AC=14\sqrt{2}m[/tex]

To find the length of AC, the diagonal in trapezoid ABCD, we can use the fact that ∠ABC ≅ ∠ACD and the lengths of the bases BC and AD. By setting up a proportion using the corresponding sides of the similar triangles ABC and ACD, we can find that AB/AC = 1/2. Multiplying the length of AB by 2 gives us AC = 28m.

Given that ∠ABC ≅ ∠ACD and the lengths of the bases BC and AD are 14m and 28m respectively, we can find the length of AC, which is a diagonal in trapezoid ABCD.

Answer: Yes

Step-by-step explanation: 4x5 is 20 + 2 is 22 then when you multiply that by 9 you get 198

36x5 is 180 + 18 is 198

Both answers equal each other

Answer:

n

Step-by-step explanation:

[tex](\frac{2n}{6n+4})(\frac{3n+2}{3n-2})[/tex]

We see that in the first rational expression, both the numerator and denominator are divisible by 2.  This means we can factor a 2 out of the top and bottom and then cancel it:

[tex](\frac{2(n)}{2(3n+2)})(\frac{3n+2}{3n-2})\\\\=(\frac{n}{3n+2})(\frac{3n+2}{3n-2})[/tex]

Now we can multiply straight across:

[tex]\frac{n(3n+2)}{(3n+2)(3n-2)}[/tex]

Since we have the same factor on the top and bottom, this factor cancels:

[tex]\frac{n}{3n-2}[/tex]

The numerator is n.

The numerator of the simplified expression is [tex]n[/tex].

Given:

The given expression is:

[tex]\left(\dfrac{2n}{6n+4}\right)\left(\dfrac{3n+2}{3n-2}\right)[/tex]

To find:

The numerator of the simplified expression.

Explanation:

We have,

[tex]\left(\dfrac{2n}{6n+4}\right)\left(\dfrac{3n+2}{3n-2}\right)[/tex]

It can be written as:

[tex]=\left(\dfrac{2n}{2(3n+2)}\right)\left(\dfrac{3n+2}{3n-2}\right)[/tex]

[tex]=\dfrac{2n(3n+2)}{2(3n+2)(3n-2)}[/tex]

[tex]=\dfrac{n}{3n-2}[/tex]

Therefore, the numerator of the simplified expression is [tex]n[/tex].

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Answer:

It will take 6 years

Step-by-step explanation:

Marshall starts at 36,000 dollars and Jim starts at 51,000, multiply the pay raises by 6 and for Jim you get $9,000 and Marshall gets $24,000 pay raise in 6 years.

Sorry If It Is a bit confusing, I'm not really good with words. :/

Both of them will get the same salary after 6 year.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Marshall Earns a salary of $36,000, and each year he receives a $4,000 raise. Jim earns a salary of $51,000, and each year he receives a $1,500 raise.

Let x be the year in which they will get the same salary

Establishing the equation, we get

36000+4000x = 51000+1500x

Simplifying the equation,

36+4x = 51+1.5x

2.5x = 15

x = 6

Hence, Both of them will get the same salary after 6 year.

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Answer: choice (3), x = (2b+7)/(a-b)

==============================

Explanation:

The idea is to get all the x terms to one side (after distributing), then factoring out the common term x, finally divide both sides by (a-b) as shown below

ax-7 = b(x+2)

ax-7 = bx+2b .... distribute

ax-7+7 = bx+2b+7 ... add 7 to both sides

ax = bx+2b+7

ax-bx = bx+2b+7-bx ... subtract bx from both sides

ax-bx = 2b+7

(a-b)x = 2b+7 .... factor out the GCF x

x = (2b+7)/(a-b) ... divide both sides by (a-b)

We have all of "2b+7" over "a-b" as one big fraction. This is what choice (3) is showing.

Answer: 5/8

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

We can find < PMN by using the law of triangles.

The sum of the angles of a triangle adds to 180

<M + <N + < PMN = 180

32 + 64+ < PMN = 180

96 + < PMN = 180

Subtract 96 from each side

96 -96 < PMN = 180-96

< PMN =84

<PMN + <NPQ forms a straight line so it equals 180

<PMN + <NPQ=180

84 + <NPQ=180

Subtract 84 from each side

84-84 + <NPQ=180-84

<NPQ=96

<NPQ = 6x

96 = 6x

Divide each side by 6

96/6 = 6x/6

16 =x

Answer:

x = 29 1/3 degrees

Step-by-step explanation:

A triangle has 3 angle that total 180 degrees.

The three angles given are 82 degrees ,2x+10 degrees and x degrees.

So,  

82+ (2x+10) + x = 180

Combine like terms.

92 + 3x = 180

Subtract 92 from each side

3x = 180 -92

3x = 88

divide each side by 3

3x/3 = 88/3

Change 88/ 3 to a mixed number

3 goes in to 88 29 times  with 1 left over.

x = 29 1/3 degrees

Answer:

A. 3

Step-by-step explanation:

To find the midpoint  between two numbers, we add the two numbers and divide by 2

midpoint = (x1+x2)/2

midpoint = (-9+15)/2

midpoint = (6)/2

midpoint =3

The calculated fraction 21/6 to a mixed number is 3 1/2

From the question, we have the following parameters that can be used in our computation:

Number = 21/6

Divide 21 by 6

So, we have

Quotient = 3

Next, we have

Remainder = 21 - 6 * 3

Evaluate the products

Remainder = 3

So, we have

Fraction = 3 3/6

Simplify

Fraction = 3 1/2

Hence, the fraction to a mixed number is 3 1/2

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Answer:

slope = 1 , y- intercept = - 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = x - 5 is in this form

with slope m = 1 and y- intercept c = - 5

Answer:

A

Step-by-step explanation:

Two facts need to guide your answer.

One

The highest power is odd: you know this because an even power would start on the left come down do it's squiggles if had any and wind up on the right going up.

This graph comes down on the left does it's squiggles and then goes further down on the right. That's the behavior of something whose highest power is odd.

Two

The leading coefficient,  the number in front of the highest power must be minus. If it was positive as in y = x^3 the graph would be the mirror image of what it is.

Argument

B and D cannot be true. The highest power is even.

C is false because the leading coefficient is + 1.

So that leave A which is the answer.

The graph is included with this answer

The position graph shown in the question represents an object that is undergoing uniform motion. To create this graph, you would need a linear function that describes linear motion.

The position graph shown in the question represents an object that is undergoing uniform motion. Uniform motion occurs when an object travels at a constant speed in a straight line. The graph shows a linear relationship between position and time, with the object consistently moving in the same direction.

To create this graph, you would need a function that describes linear motion. A linear function in the form of y = mx + b, where y represents position, x represents time, m represents the slope (rate of change of position with respect to time), and b represents the initial position. The slope of the line in the graph represents the speed of the object.

For example, the function y = 2x would create a position vs. time graph with a slope of 2, indicating that the object is moving at a constant speed of 2 units per time interval. Similarly, any other linear function with a constant slope could create this graph.

Answer:

The length of each piece of fabric is [tex]L=\frac{3}{5}[/tex]

Step-by-step explanation:

Given : Dai has 3 meters of fabric that he wants to cut into 5 equal sized pieces.

To find : What is true about the length of each piece of fabric ?

Solution :

Dai has 3 meters of fabric.

He cuts the fabric into 5 equal sized pieces.

So, The length of each piece is defined as

[tex]L=\frac{3}{5}[/tex]

Therefore, The length of each piece of fabric is [tex]L=\frac{3}{5}[/tex]

Answer:Yes

Step-by-step explanation:

When the negative is on the outside of the bracket you distribute the negative to each term inside the parentheses.

Answer:

yes you would change the signs that are inside the parenthesis

Step-by-step explanation:

you do so because the negative outside the parenthesis mean you are distributing the negative to the terms.

Answer:

0.1111%

Step-by-step explanation:

2 dice, each with 6 sides. 36 possible outcomes.

Possible sums for 9 are 1,8 2,7 3,6 4,5

That means there is only 4 possible ways to get 9 out of 36 possible outcomes. 4/36 is your probability

Answer:

The length for a rectangle with a perimeter of 34 units and a width of 6.5 units would be 10.5 units.

Step-by-step explanation:

To find the length, you can use the equation [34 - (6.5 x 2) ÷ 2 = the length]. So, 6.5 x 2 = 13, then 34 - 13 = 21, finally, 21 ÷ 2 = 10.5 . So the length of the rectangle is 10.5 . To double check, (6.5 x 2) + (10.5 x 2) (=) 34. So this answer is correct.

Answer:

x=-12 and -3

Step-by-step explanation:

The quadratic formula is

[tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex].

It is important because while some quadratics are factorable and can be solved not all are. The formula will solve all quadratic equations and can also give both real and imaginary solutions. We will substitute a=1, b=15 and c=36.

[tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}\\x=\frac{-15+/-\sqrt{(15)^2-4(1)(36)} }{2(1)}\\x=\frac{-15+/-\sqrt{225-144} }{2}[/tex]

We will now simplify and solve.

[tex]x=\frac{-15+/-\sqrt{81}}{2}\\x=\frac{-15+/-9}{2}[/tex]

x=-12 and x=-3

Answer:

150

Step-by-step explanation:

The ratio of boys to girls is 3 to 7.

We don't know the number of boys or girls. The number of boys and the number of girls are multiples of 3 and 7, respectively. Since they are in the ratio of 3 to 7, then by multiplying both 3 and 7 by the same number, you will get the number of boys and the number of girls. We need to find that number. Call that number x.

The ratio of boys to girls is:

3x to 7x

There are 3x boys and 7x girls.

The number of girls is 200 more than the number of boys.

7x = 3x + 200

Subtract 3x from both sides.

4x = 200

Divide both sides by 4.

x = 50

The number of boys is 3x, so

3x = 3(50) = 150

150 boys and 350 girls were enrolled that year.

Since a college was previously an all girls college, and then it began to allow boys to enroll, and by 2012 the ratio of boys to girls was 3 to 7, to determine, if there were 200 more girls than boys in 2012, how many boys were enrolled that year, the following cross multiplication calculation must be performed:

Therefore, 150 boys and 350 girls were enrolled that year.

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Answer:

[tex]m\angle EFG=52^{o}[/tex]

Step-by-step explanation:

We have been given that line m is parallel to line p, [tex]m\angle HEF=39^{o}[/tex] and [tex]m\angle IGF=13^{o}[/tex].

Since line m is parallel to line p and EJ is a transversal, so measure of angle EJG will be 39 degrees as angle EJG is alternate interior angle of angle HEF. Both angles are inside parallel lines m and p and on opposite side of transversal EJ.

We can see that angle EFG is exterior angle of triangle GFJ. Since the measure of an exterior angle of a triangle equals to the sum of the opposite interior angles.

We can see that angle IGF and angle EJG are opposite interior angles of angle EFG.

[tex]m\angle EFG=m\angle IGF+m\angle EJG[/tex]

Upon substituting our given values we will get,

[tex]m\angle EFG=13^{o}+39^{o}[/tex]

[tex]m\angle EFG=52^{o}[/tex]

Therefore, measure of angle EFG is 52 degrees.

NOTE: I ACCIDENTALLY clicked one star. That DOES NOT count as a real rating, and this DOES NOT mean my answer is bad!

Answer:

Commutative Property of Addition

Step-by-step explanation:

Step 2: -4 + (-37) + (-3) + (-47) + 7

Step 3: -4 + (-37) + (-47) + (-3) + 7

Because the order was changed, it is the Commutative Property.