A high school basketball team scored 60 points in last week’s game. The team scored a total of 27 baskets; some were two-point shots and some were three-point shots. How many two-point shots did they make? How many three-point shots did they make?x + y = 27,


2x + 3y = 60



What is the solution of the system of equations, and what does it represent?


options:

(6, 21); 6 two-point shots and 21 three-point shots

(6, 21); 6 three-point shots and 21 two-point shots

(21, 6); 21 two-point shots and 6 three-point shots

(21, 6); 21 three-point shots and 6 two-point shots

Answers

Answer 1
Answer:

Answer:

the answer is (21, 6); 21 two-point shots and 6 three-point shots

Step-by-step explanation:

Answer 2
Answer:

Answer:

c

Step-by-step explanation:

i did the test


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To find average monthly income, multiply the net pay by the number of pay periods per year. Then divide this yearly income by 12 months.true
false

Answers

True. To find average monthly income, multiply the net pay by the number of pay periods per year. Then, divide this yearly income by 12 months.

For example:
Daily wages:  
Daily wages * 365 days = Total Wage
Total wage / 12 months = average monthly income

Weekly wages:
Weekly wages * 52 weeks = total wage
total wage / 12 months = average monthly income


Brian invests £600 into his bank account. He receives 3.2% per year compound interest. How much will Brian have after 6 years? Give your answer to the nearest penny where appropriate.

Answers

Answer:

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = £600

r = 3.2% = 3.2/100 = 0.32

n = 1 because it was compounded once in a year.

t = 6 years

Therefore,.

A = 600(1 + 0.032/1)^1 × 6

A = 600(1.032)^6

A = £724.82

The pair of points (6,y) and (10,-1) lie on a line with a slope 1(over)4. What is the value of y?

Answers

The formula for Slope is m = (y_2 - y_1)/(x_2 - x_1) where m is the slope and the x's and y's are your given coordinates. So, plug the given information into the formula and solve for y.

m = (y_2 - y_1)/(x_2 - x_1)   Plug in the given values
(1)/(4)(-1 - y)/(10 - 6)   Cross multiply
10 - 6 = -4 - 4y   Subtract
       4 = -4 - 4y   Add 4 to both sides
       8 = -4y        Divide both sides by -4
      -2 = y            Swich the sides to make it easier to read
       y = -2

Check your answer by plugging -2 back into the equation with the other values.

[tex] \frac{1}{4} [/tex] = (-1 - (-2))/(10 - 6)   Simplify the double negative
(1)/(4)(-1 + 2)/(10 - 6)   Simplify the numerator and denominator
(1)/(4)(1)/(4)

Since both sides equal each other, y = -2.
Use the formula to find the slope which is m= y2-y1 over x2-x2. The equation would look like 1/4= -1 -y over 10-6. First, you do the subtraction in the denominator and you get 4.  The equation would look like 1/4=-1-y over 4.

Then, you multiply the 4 to both side in order to get rid of the fraction from the equation. You would then have 1=-1-y. You add -1 to both side and you would have 2=-y. Since the variable cannot be negative, you divide -1 from both side and get -2=y. Therefore the answer is y=-2. 

Hope this helps.

Decide whether the function is a polynomial function. If so, write it in standard form and state its degree, type, and leading coefficient.h(x) = 19x4 − 419x2 + 18:

Answers

h(x)=19x^4+0x^3+(-419)x^2+0x+18 is a polynomial, leading coefficent 19.
(standard form: is what I wrote even near that? :)) )

An air balloon begins it's decent to the ground at 1000 ft above the ground and falls at a rate of 50 ft per minute. Select all that apply to this situation. The slope is 1000 ft per minute. The balloon is falling at 1000 ft per minute.

The y-intercept is 50 ft. The balloon falls at a rate of 50 ft per minute.

The y-intercept is 1000 ft. The balloon begins to from an initial height of 1000 ft.


The slope is -50 ft per minute. The balloon is falling at 50 ft per minute.

It will take the balloon 20 minutes to reach the ground.

Answers

Answer:

The correct options are 3, 4 and 5.

Step-by-step explanation:

It is given that an air balloon begins it's decent to the ground at 1000 ft above the ground and falls at a rate of 50 ft per minute.

It means the initial height of air balloon is 1000. So, the y-intercept is (0,1000).

The ball falls at a rate of 50 ft per minute. So, the rate of change is

m=-50

The height of balloon is defined as

h(x)=-50x+1000                      [\because y=mx+b]

Where, x is time in minutes.

The balloon will reach the ground when h(x)=0

0=-50x+1000

50x=1000

x=20

Therefore the options 3, 4 and 5 are correct.

13. The third term in an arithmetic sequence is 10 and the fifth term is 26. If the first term is , which is an equation for the nth term of this sequence?

Answers

n=3:
A) an = 8*3+10 = 34
B) an = 8*3 - 14 = 10  OK
C) an = 16*3+10 = 58
D) an = 16*3 - 38 = 10 OK

n=5:
B) an = 8*5-14 = 26 OK
D) an = 16*5 - 38 = 42

So the answer is B