A basketball team scored a total of 1470 points over the course of its 21-game season. 470 of the points were from 1-point baskets. The remaining points were either 2-point or3-point baskets.
There were 440 2-point or 3-point
baskets scored. How many of those 440 baskets were 3-point baskets?

Answer:

Parallel line, [tex]y=\frac{3x}{2} -\frac{5}{2}[/tex]

Perpendicular line, [tex]y=4-\frac{2x}{3}[/tex]

Step-by-step explanation:

For the parallel line, In the equation y=mx+c, we are trying to find c.

We know that m=[tex]\frac{3}{2}[/tex], so

we have the equation y=[tex]\frac{3x}{2} +c[/tex]

So we substitute the points we are given (3,2) into

[tex]2=\frac{3}{2}*3+c\\Thus, c= \frac{-5}{2}[/tex]

The final equation we get is

[tex]y=\frac{3x}{2} -\frac{5}{2}[/tex]

For the perpendicular line, we need to find the inverse of the slope.

The inverse of the slope [tex]\frac{3}{2} = -\frac{2}{3}[/tex]

So, we use this in our formula and also plug in the same coordinates we were given.

Therefore, we get:

[tex]2= -\frac{2}{3}*3+a\\a=4\\\\y=4-\frac{2x}{3}[/tex]

We want to write and solve a system of equations to see how much each person earns.

What each one earned is:

Let's define:

The information is:

"Janet worked 3 hours more than David and 7 hours less than Kate"

From this we can write:

J = D + 3

J = K - 7

We know that:

Finally, we know that Kate earned $27 more than David an Janet combined, then we can write:

$9*K = $27 + ($7.50)*D + $6*J

Then we have a system of equations:

J = D + 3

J = K - 7

$9*K = $27 + ($7.50)*D + $6*J

We can rewrite the first and second equations to get:

D = J - 3

K = J + 7

Now we can replace these two in the other equation to get:

$9*(J + 7) = $27 + ($7.50)*(J - 3)+ $6*J

Now we can solve this for J:

$9*J + $63 = $27 + $7.50*J - $22.50 + $6*J

$9*J - $7.50*J - $6*J = $27 - $63 - $22.50

-$4.50*J = -$58.60

J = (-$58.60)/(-$4.50) = 13

This means that Janet worked for 13 hours.

And with:

K = J + 7 = 13 + 7 = 20

D = J - 3 = 13 - 3 = 10

We can see that Kate worked for 20 hours and David for 10 hours.

Then each one of them earned:

Janet = 13*$6 = $78

Kate = 20*$9 = $180

David = 10*$7.50 = $75

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Answer:

Lets see if the gallon fill the paint tray or not.

For that purpose we need to find out the volume of the paint tray and compare it with the volume of the gallon.

Given:

Length = 14 inches

Width = 10 inches

Depth = 4 cm = 1.57 inches

Volume = length x width x depth

Volume = 14 x 10 x 1.57

            = 220.47 inches cube

Volume of Gallon = 231 inches cube

Comparing the two volumes:

231 inches cube - 220.47 inches cube = 10.52 inches cube

Hence,

The paint will not fill the tray by 10.53 in3.

Step-by-step explanation:

Answer:

the second and the forth

Answer:

[tex]\displaystyle 10c - 6a = 110[/tex]

Step-by-step explanation:

We are given the equation:

[tex]\displaystyle 3x^3 - 25x^2 -50x = 0[/tex]

Where a, b, and c are solutions to the equation and where a < b < c, we want to determine the value of 10c - 6a.

To find the solutions of the equation, we can factor:

[tex]\displaystyle \begin{aligned} 3x^3 - 25x^2 -50x & = 0 \\ \\ x(3x^2 - 25x -50) & = 0 \\ \\ x(3x+5)(x-10) & = 0 \end{aligned}[/tex]

From the Zero Product Property:

[tex]\displaystyle x = 0 \text{ or } 3x + 5 = 0 \text{ or } x - 10 = 0[/tex]

Solve for each case:

[tex]\displaystyle x = 0 \text{ or } x = -\frac{5}{3} \text{ or } x = 10[/tex]

We can see that -5/3 < 0 < 10. Thus, a = -5/3, b = 0, and c = 10.

Therefore:

[tex]\displaystyle \begin{aligned} 10c - 6a & = 10(10) - 6\left(-\frac{5}{3}\right) \\ \\ &= 100 + 10 \\ \\ & = 110 \end{aligned}[/tex]

Answer:

No, it cannot be simplified.

Explanation

The numerator and denominator of the fraction are coprime numbers (no common prime factors, GCF = 1).

The fraction cannot be reduced (simplified): irreducible fraction.

Fraction 790/69 is a positive improper fraction (numerator > denominator).

Answer:

33

Step-by-step explanation

22 divided by 2 is 11

it says four years ago so add 11 and 4 and that equals 15

she is 15 right now. then add 22 which is 37 and subtract 4 which your answer would be 33

22 divided by 2 is 11

it says four years ago so add 11 and 4 and that equals 15

she is 15 right now. then add 22 which is 37 and subtract 4 which your answer would be 33

33 is the answer.

Answer:

the ratio would be 2:10 or 1:5 (simplified)

Answer:

∠ 1,3,5,7 = 32°

∠2,4,6,8,= 148°

Step-by-step explanation:

From the figure attached,

AB and CD are two parallel lines and another transverse line is intersecting these line at two distinct points.

Since, m∠1 = 32°,

∠1 and ∠4 are supplementary angles [Linear pair of angles]

m∠1 + m∠4 = 180°

32° + m∠4 = 180°

m∠4 = 180° - 32°

m∠4 = 148°

therefore,

m∠1,3,5,7 = 32°

m∠2,4,6,8,= 148°

Answer:

Part A = C.      Part B =  ( t = 20 ) and ( h = 12 )

Step-by-step explanation:

Answer:

500

Step-by-step explanation:

i want to help you but im not sure to my answer

Answer:

I think W or Z but not really sure so

Answer: W

Step-by-step explanation:

D.

It's an upside-down ln(x) function that's been shifted 3 units to the left.

Answer:

x = 35 degrees

y = 70 degrees

z = 75 degrees

Step-by-step explanation:

X will equal 35 degrees because that angle is vertical to the 35 degree angle, which means they are equal.

To find the measure of angle z, subtract the outside angle from 180:

180 - 105 = 75

To find the measure of angle y, add the two other known angles of the triangle and subtract that from 180:

35 + 75 = 110

180 - 110 = 70

Answer:

x = 35, y=75, z=70

Step-by-step explanation:

I dont know which angle you wanted exactly. However x is equal to 35 (I'm sorry, I forgot the name of the rule that makes that way, I assume it's in your notes if this is for a class). Z is equal to 75 because a straight line(the one on the bottom) is equal to 180 degrees. Since you have an angle on that line already (105), just subtract 180-105 to get 75.

Lastly, since we have x and z now, we can add them and subtract from 180(the degree in a triangle. So 35+75 = 110 and 180-110 = 70.

Answer:

First, calculate the amount of sales tax by multiply the percent tax times the total cost:

0.07×600 =42

Next, add the amount of tax to the price of the computer:

600+42=642

$0.45792 more is she spending if she purchases the items in the city where she lives.

Given that, Jen purchased the items shown on the table. In the city she lives in, the sales tax rate is 7.15%. In another city, the sales tax rate is 6.35%.

We need to find out how much more is she spending if she purchases the items in the city where she lives.

A sales tax is a consumption tax imposed by the government on the sale of goods and services.

Now, the cost of the goods she purchased=11.99+35.50+6.75+3.00

=$57.24

The sales tax rate is 7.15%.

So, the sales tax=7.15% of 57.24

=$4.09266

The sales tax rate is 6.35%.

So, the sales tax=6.35% of 57.24

=$3.63474

Now, 4.09266-3.63474=$0.45792

Therefore, $0.45792 more is she spending if she purchases the items in the city where she lives.

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Answer:what’s the lowest value?

what’s the highest value?

there is your range

Step-by-step explanation:

Answer:

r/8+3q

Explanation:

There is no value given to this equation so out final answer is a simplified version of the equation

The box office sold 360 tickets to a concert at

the college. The total receipts were $4,170. General

admission tickets cost $15 and student tickets cost $10.

How many of each kind of ticket was sold?

Answer: 114 general admission tickets and 246 student tickets were sold.

Step-by-step explanation:

Let x represent the number of general admission tickets that were sold.

Let y represent the number of student tickets that were sold.

The box office sold 360 tickets to a concert at the college. It means that

x + y = 360

General admission tickets cost $15 and student tickets cost $10. The total receipts were $4170. It means that

15x + 10y = 4170- - - - - - - - -1

Answer:

t = 1

Step-by-step explanation:

Bring the like term together.

16 - 9 = 5t + 2t

7 = 7t

t = 1

Answer:

t=1

Refer to the attachment

hope it helps

Answer:

Step-by-step explanation:

Use the given points to find the hourly pay:

Correct function to show the payment for h hours is:

No initial cost

Hourly pay

So Equation is

Answer:

34/15

Step-by-step explanation:

We want to change the mixed number to an improper fraction

2 4/15

(15*2 + 4)/15

(30+4)/15

34/15

Answer:

34/15

Step-by-step explanation:

i dont know

Answer:

-2k + 6

Step-by-step explanation:

Answer:

r+8

Step-by-step explanation:

it's the term r and an extra 8

Answer:

x = 6

Step-by-step explanation:

let the number be x , then

3x + 4 = 22 ( subtract 4 from both sides )

3x = 18 ( divide both sides by 3 )

x = 6

The unknown number is 6

Answer:

a). x3 + 4 = 22

b). x3 + 4 = 22

x3 = 18

x = 6

Answer:

your answer is attached above

hope it helps

plz mark me as brainliest

have a great day ahead

Answer:

58,60,62...

Step-by-step explanation:

Formula: Sn=n/2(2a+(n-1)d)

Sn=2, a=1, d=56

> S2=2/2(2(1)+(2-1)56)

> S2=1(2+56)

> S2=1(58)

> S2=58

58+2=60

60+2=62

[tex]6(x + 5) = 42 \\ = > 6x + 30 = 42 \\ = > 6x = 42 - 30 \\ = > 6x = 12 \\ = > x = \frac{12}{6} \\ = > x = 2[/tex]

2

Answer:

71.4

Step-by-step explanation: