A basketball player scored 26 points in one game. In basketball, some baskets are worth 3 points, some are worth 2 points, and free-throws are worth 1 point. He scored four more 2-point baskets than he did 3-point baskets. The number of free-throws equaled the sum of the number of 2-point and 3-point shots made. How many free-throws, 2-point shots, and 3-point shots did he make?
Answer:
3 points = 2
2 points = 6
1 point = 8
Step-by-step explanation:
Given that:
Total point scored = 26
Let number of 3 point basket = x
Number of 2 point basket = x + 4
Number of free throws = x + x + 4 = 2x + 4
Hence,
Total 3 points = 3x
Total 2 points 2(x + 4)
Total free throw points = 2x + 4
3x + 2(x + 4) + 2x + 4 = 26
3x + 2x + 8 + 2x + 4 = 26
7x + 12 = 26
7x = 26 - 12
7x = 14
x = 2
Number of 3 points = x = 2
2 points = (x+4) = 2+4 = 6
1 point = (2x+ 4) = 2(2) + 4 = 8
The number of free-throws, 2-point shots, and 3-point sho ts he made are;
free-throws = 8
2 points = 6
3 points = 2
Let the number of 3 points basket be x
He scored four more 2-point baskets than he did 3-point baskets. Thus;
y = x + 4
number of free-throws equaled the sum of the number of 2-point and 3-point sho ts made. Thus;
z = x + x + 4
z = 2x + 4
Thus;
Total 3 points = 3x
Total 2 points = 2(x + 4)
Total fr ee points = 2x + 4
Since he scored a total of 26 points, then;
I just need the answer to this !!
Answer:
A
:))))))))))))))))))
A 48 ft rope is cut into 5 pieces according to the
ratio 2:2:3:4:5. What is the length. In feet, of the
longest piece?
A. 3
B. 6
C. 9
D. 15
please Answer ASAP
Answer:I think it d
Step-by-step explanation:
The length of the longest piece will be 15 ft.
We have a 48 ft rope is cut into 5 pieces according to the ratio →
2 : 2 : 3 : 4 : 5.
We have to determine the length in feet of the longest piece.
A rope of length 'y' ft is cut in the ratio 2:5. What is the length of smallest piece?Now -
2x + 5x = y
x = [tex]$\frac{y}{7}[/tex]
Smallest piece is of length → 2x → [tex]$\frac{2y}{7}[/tex]
According to the question, we have -
Length of rope = 48 ft
Ratio in which they are cut = 2 : 2 : 3 : 4 : 5.
Therefore -
2x + 2x + 3x + 4x + 5x = 48
16x = 48
x = 3
Length of the longest piece = 5x = 5 x 3 = 15ft
Hence, the length of the longest piece will be 15 ft.
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HELP ME AND ANSWER THIS IK ITS -1 BUT ITS AN MULTIPLE CHOICE!! please don't guess thank you :) and I'll mark you as Brainlest :D
Answer:
C and D
Step-by-step explanation:
Let's solve for x to see what range the answer has to be in:
-2x - 3 ≤ -1
-2x ≤ 2
x ≥ -1
So the value of x must be larger than or equal to -1. So the answers would be 1 and 0
Another one bites the dust.
Answer:
C
Step-by-step explanation:
PLS GIVE BRAINLIEST
Unendo wishes to maximize the weekly profit of producing and selling the game. Find the price, p, per game that generates maximum profit.
Answer:
Following are the solution to this question:
Step-by-step explanation:
Please find the complete question in the attached file.
The highest benefit is where the unit benefit equals the marginal income
Marginal price = 17q
Score of income=-0.05q
MC = MR
MC=17
MR =DERIVATIVE OF ([tex]80q-0.05 q^2[/tex])
[tex]=80-2 \times 0.05q\\\\=80-0.1q[/tex]
[tex]\to MR=MC \\\\[/tex]
[tex]80-0.1q=17\\\\80-17= 0.1q\\\\0.1q=63\\\\q= \frac{63}{0.1}\\\\q=630[/tex]
Retail prices calculation
[tex]\to P=80-630 \times 0.05[/tex]
[tex]=80 -31.5\\\\= 48.5[/tex]
4. Suppose y varies directly with x, and y= 24 when x = 8. What is the value of y when x = 10?
A)10
B)30
C)80
D)240
Answer:
"B. 30" Is the correct answer.
Step-by-step explanation:
Just took the quiz, have a wonderful day.
A taxi company had 12 taxis originally. After expanding the company now has 18 taxis. Is this an increase or decrease? What was the percent change?
Answer:
This is an increase by 50%.
Step-by-step explanation:
The taxi company has 12 taxis originally, and then got 6 more to get 18. They added, so that is an increase.
18 / 12 = 1.5, so it is a 50% increase.
Please mark as brainliest!
1-2/3+9/2 Plz help!! Best answer with explanation will get Brainiest!!!
Answer: 4.83333333333
Can be the answer probably
Step-by-step explanation:
What is the factor of х+8x+7
Answer:
(x + 7) (x + 1)
Step-by-step explanation:
Product = 7
Sum = 8
Factors = 1 , 7
x² + 8x + 7 = x² + 7x + x + 7
= x(x + 7) + (x + 7)
= (x + 7) (x + 1)
Solve the attached image
Answer: Gabby and Gianna needs to isolate the variable by dividing each side by factors that don't contain the variable. In the inequality form, the answer is x<–7 or x>–3.
Step-by-step explanation:
A hotel has a budget of $16,000 to buy 84 new mattresses. Each mattress costs $209. The hotel manager says, “Since 80 × $200 = $16,000, I can stay within the budget.”Use the drop-down box to tell whether the manager’s reasoning is logical.
The hotel manager’s reasoning
Choose... is or is not
logical.
Answer:
No, it isn't logical.
Step-by-step explanation:
The manager is rounding the numbers down, so that will make the estimate go down.
Answer:
The hotel manager's reasoning is not logical.
Step-by-step explanation:
The hotel manager's reasoning is not logical because the total price is extremely overbudget. It would have been more realistic to round it up 210 and do 85 mattresses. They are exactly 1,556 dollars overbudget.
HELP 15 POINTS
Choose the equation that represents the line passing through the point (−3, −1) with a slope of 4.
y = 4x − 11
y = 4x + 11
y = 4x + 7
y = 4x − 7
Answer:
y=4x+11
Step-by-step explanation:
you find the function rule using the slope which is 4.
3) 4 hours worked for $12; 7 hours worked for $28 *
o yes
Answer:
no
Step-by-step explanation:
12 ÷4= 3
7 x3=21
7 hours = $21
Answer:
Not Equivalent.
Step-by-step explanation:
a Siberian tiger sleeps as much as 18 hours a day or 126 hours per week about how many hours does it take a tiger to sleep in a year? there are 52 weeks in a year
I WILL MARK BRAINIEST
Answer:
x=65
Step-by-step explanation:
x+65=2x
-x -x
----------------
65=x
Brainliest pleaseFind the slope of the line that passes through (10, 2) and (5, 1).
Simplify your answer and write it as proper fraction, improper fraction, or integer.
Answer: 1/5
Step-by-step explanation:
In which step did Moses first make a mistake in his work?
What is the correct answer for 5=-1;
2
2
а.
85
7
b
39
с.
0
4
Blank 1:
Answer:
it is c
Step-by-step explanation:
Simlplify the expression. 2.3h(6-k)
Answer:
13.8h-2.3hk
Step-by-step explanation:
A hotel has a budget of $16,000 to buy 84 new mattresses. Each mattress costs $209. The hotel manager says, “Since 80 × $200 = $16,000, I can stay within the budget.”
Answer:
The hotel manager under-estimated. Without estimation, the exact price would be $17,556.
Step-by-step explanation:
He should've over-estimated the money to $210, and the mattresses to 90. So 210 × 90 is $18,900. So even if he did underestimate or overestimate, he still would not have been able to afford the mattresses.
Answer:
hotel has a budget of $16,000 to buy 84 new mattresses. Each mattress costs $209. The hotel manager says, “Since 80 × $200 = $16,000, I can stay within the budget.”
Step-by-step explanation:
100
Is the relation shown in the arrow diagram a function? Explain. *
(NEED HELP ASAP)
Answer:
It is a function.
Step-by-step explanation: Each input has only one output.
Find the value of n in the diagram.
Answer:
the answer should be 20
calculate 4/5 of 30
Answer:
24
plz mark brainliest
Step-by-step explanation:
Answer:
24..
Step-by-step explanation:
30 divided by 5 is 6 so 30-6=24
I need the answer asap
Answer:
Just simply fail if it gets too hard <3
Step-by-step explanation:
im sorry lolĺ
192.4-(52+3) times 2
Answer:
82.4
Step-by-step explanation:
412/5,82 2/5 ︎ ︎ ︎ ︎ ︎ ︎ ︎
︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎
︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎
Answer:
274.8
Step-by-step explanation:
( 192.4 - ( 52 + 3 ) ) * 2
Simplify, remember the order of operations;
( 192.4 - ( 52 + 3 ) ) * 2
( 192.4 - ( 55 ) ) * 2
( 192.4 - 55 ) * 2
( 137.4 ) * 2
274.8
1 and two-thirds minus 2 and one-third
Answer:
The answer is -2/3.
Hope this helps and if you could mark as brainliest. Thanks!
Raju and Ann saved a total of $1560. After Raju gave Ann $50, Raju had 5 times as much money as Ann. How much did Raju have at first?
Step-by-step explanation:
let amt of money Raju has be r and Ann be a.
a + r = 1560
a = 1560 - r --(1)
r - 50 = 5(a + 50)
r = 5a + 300 --(2)
sub (1) into (2):
r = 5(1560 - r) + 300
r = 8100 - 5r
6r = 8100
r = 1350
therefore he has $1350 at first.
Topic: simultaneous eqn + algebraic equations
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An expression is a sentence with a minimum of two numbers or variables and at least one math operation such as addition, subtraction, multiplication, or division.
The amount of money Ann has at first is $1350.
What is an expression?An expression is a sentence with a minimum of two numbers or variables and at least one math operation such as addition, subtraction, multiplication, or division.
We have,
Let the amount of money Raju = R
Let the amount of money Ann = A
Now,
Raju and Ann saved a total of $1560.
This statement can be written as:
R + A = 1560 ____(1)
After Raju gave Ann $50, Raju had 5 times as much money as Ann.
This statement can be written as:
R - 50 = 5 ( A + 50 )
R - 50 = 5A + 250
R - 5A = 250 + 50
R - 5A = 300 _____(2)
From (1)
R = 1560 - A _____(3)
Putting (3) in (2),
1560 - A - 5A = 300
1560 - 6A = 300
1560 - 300 = 6A
1360 = 6A
A = 1260 / 6
A = 210
Putting A = 210 in (3) we get,
R = 1560 - A
R = 1560 - 210
R = 1350
Thus the amount of money Ann has at first is $1350.
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2+2=?
Is it 22 or baby 2 cause the mother 2 meets the father 2 and gives birth to a baby 2.
Kinda confused
Answer:
(1) = 4 (2) = baby 4 (3) 4
Step-by-step explanation:
this is the true .
A system of equations is graphed on the grid.
Which system of equations does the graph represent?
Answer:
y = x + 4
y = -2x - 4
Step-by-step explanation:
Since equation of the line having slope 'm' and y-intercept 'b' is given by,
y = mx + b
Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of line passing through (1, 5) and (-1, 3),
m = [tex]\frac{5-3}{1+1}[/tex] = 1
y-intercept 'b' = 4
Therefore, equation of the line is,
y = 1.x + 4
y = x + 4
Now slope of another line passing through (-4, 4) and (-1, -2) will be,
m = [tex]\frac{4+2}{-4+1}[/tex]
m = -2
y-intercept 'b' of this line = -4
Equation of the other line,
y = (-2)x - 4
y = -2x - 4
Therefore, system of equations is,
y = x + 4
y = -2x - 4
The system of equations is given by: y = x + 4 and y = -2x - 4
A linear equation is given by:
y = mx + b;
where y, x are variables, m is the rate of change and b is the y intercept.
The first line passes through point (-1, 3) and (1, 5) hence:
[tex]y- y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-3=\frac{5-3}{1-(-1)} (x-(-1))\\\\y=x+4[/tex]
The second line passes through point (-4, 4) and (-1, -2) hence:
[tex]y- y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-4=\frac{-2-4}{-1-(-4)} (x-(-4))\\\\y=-2x-4[/tex]
The system of equations is given by: y = x + 4 and y = -2x - 4
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