Lyle shot three times as many baskets as cliff, while kyle shot 12 more baskets than cliff. if lyle and kyle shot the same number of baskets, how many baskets did each of them shoot?

Answers

Answer 1
Final answer:

Cliff shot 6 baskets, Lyle shot 18 baskets, and Kyle also shot 18 baskets.

Explanation:

Let's represent the number of baskets Cliff shot as C.

Lyle shot three times as many baskets as Cliff, so Lyle shot 3C baskets.

Kyle shot 12 more baskets than Cliff, so Kyle shot C + 12 baskets.

Since Lyle and Kyle shot the same number of baskets, we can set their expressions equal to each other: 3C = C + 12.

Solving this equation, we find that C = 6.

Therefore, Cliff shot 6 baskets, Lyle shot 3C = 3(6) = 18 baskets, and Kyle shot C + 12 = 6 + 12 = 18 baskets.

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Related Questions

Find the slope of a line parallel to the line through the given points. P(-2, 4), Q(6, -2) 4/3 3/4 -3/4

Answers

Attached the solution and work.

Answer:

Option 3 - [tex]m=-\frac{3}{4}[/tex]

Step-by-step explanation:

Given : P(-2, 4), Q(6, -2)

To find : The slope of a line parallel to the line through the given points?

Solution :

First we find the slope of the line passes through given points P(-2, 4), Q(6, -2)

The slope formula is

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{-2-4}{6-(-2)}[/tex]

[tex]m=\frac{-6}{8}[/tex]

[tex]m=-\frac{3}{4}[/tex]

When two lines are parallel then there slope are equal.

Therefore, The slope of a line parallel to the line through the given points is

[tex]m=-\frac{3}{4}[/tex]

So, Option 3 is correct.

How do you solve cot^2x + cscx= 1
(0,2pi)

Answers

[tex]\bf 1+cot^2(\theta)=csc^2(\theta)\implies cot^2(\theta)=csc^2(\theta)-1 \\\\\\ csc(\theta)=\cfrac{1}{sin(\theta)} \\\\ -------------------------------\\\\ cot^2(x)+csc(x)=1\implies csc^2(x)-1+csc(x)=1 \\\\\\ csc^2(x)+csc(x)-2=0\implies [csc(x)-2][csc(x)+1]=0\\\\ -------------------------------\\\\[/tex]

[tex]\bf csc(x)-2=0\implies csc(x)=2\implies \cfrac{1}{sin(x)}=2\implies \cfrac{1}{2}=sin(x) \\\\\\ sin^{-1}\left( \frac{1}{2} \right)=\measuredangle x\implies \frac{\pi }{6}~~,~~\frac{5\pi }{6}=\measuredangle x\\\\ -------------------------------\\\\ csc(x)+1=0\implies csc(x)=-1\implies \cfrac{1}{sin(x)}=-1 \\\\\\ \cfrac{1}{-1}=sin(x) \implies -1=sin(x)\implies sin^{-1}(-1)=\measuredangle x\implies \frac{3\pi }{2}=\measuredangle x[/tex]

what is the square root of 49

Answers

7 is the square root of 49.
7^2 = 49
The answer is 7. Hope this helps!

The length of the base of a triangle is twice its height. if the area of the triangle is 100 square​ kilometers, find the height.

Answers

10km

a=1/2b·h

If h=x
b=2x

a=1/2(2x)·x
a=x²
100=x²
x=10
h=x=10


Suppose you have 74 feet of fencing to enclose a rectangular dog pen. The function a=37x-x2, where x = width, gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maximum area? Round to the nearest tenth as necessary

Answers

The function is that of a parabola. You can tell because it has the;
Standard form: ax² + bx + c
Given equation: -x² + 37x + 0

Since the "a" coefficient is negative, the parabola is flipped upside down making the maximum point the vertex.

Vertex = (-b/2a, y)
-b/2a = -37/(-1*2) = 37/2 = 18.5
This is the x-value, width which gives the maximum area

put in x = 18.5 and solve for maximum area, A.
A = -(18.5)² + 37(18.5)
A = -342.25 + 684.5
A = 342.25
round to nearest tenth
A = 342.3

Answer: width = 18.5 ft; area = 342.3 ft2

Step-by-step explanation:

you plug in the width with the function , where ever there is an x replace it with the width for the maximum area

Melanie made 72 peanut butter cookies and oatmeal cookies. She wants to make identical groups of cookies for her friends. Each group will be as large as possible, and she will use all of the cookies. How many cookies will each friend receive? Explain. Please help me

Answers

This depends on how many friends she has. Like if she has 72 friends each will get one of each, but if she has 3 friends than each will get 24 on each. Do you know how many friends she has?

What is the result of dividing 2x3+6x2+6x+22x3+6x2+6x+2 by x+1x+1 ? A")2x2+4x+102x2+4x+10
B) 2x2+4x+22x2+4x+2
C:)2x2+6x+22x2+6x+2
D)2x2+6x+12

Answers

We believe it would be B

Answer:

      [tex]2x^2+4x+2[/tex]

Step-by-step explanation:

[tex]2x^3+6x^2+6x+2[/tex] divide by x+1

Divide the first term of numerator by the first term of denominator and put it at the top. then multiply the answer by x+1 . write the expression at the bottom and subtract it. Repeat the process till we get remainder.

                                         [tex]2x^2+4x+2[/tex]

                            -------------------------------------------------------

          [tex]x+1[/tex]            [tex]2x^3+6x^2+6x+2[/tex]

                                [tex]2x^3+2x^2[/tex]

                                     -----------------------------------------(subtract)

                                                   [tex]4x^2+6x[/tex]

                                                    [tex]4x^2+4x[/tex]

                                            -------------------------------------------Subtract

                                                            [tex]2x+2[/tex]

                                                           [tex]2x+2[/tex]

                                             ------------------------------------------Subtract

                                                                 0

   

An athlete eats
60
grams of protein per day while training. How much is this in milligrams?
Be sure to include the correct unit in your answer.

Answers

it is 60,000 milligrams

least common denominator of 3/s and -3/6s

Answers

It should be 3 or 3s...
the answer to that is 

2s 

15 - (-3) - 4

-16

22

-8

14

Answers

In this equation, you have to treat the number in the bracket first on the basis of BODMAS
15 - [-3]- 4
Note that when two minuses come together the product is a plus sign.
15 +3 - 4
You have to add before you subract
18 - 4 =14
Therefore, 15- [-3] - 4 = 14.

Simplify 5(a - b) + 6(a + b) - 7(a - 2b)

Answers

The answer is 4a +  15b

the simplified answer is 4a+15b

What classification best represents a triangle?

Answers

c^2 = 15^2 = 225
a^2 + b^2 = 10^2 + 12^2 = 100 + 144 = 244

c^2 < a^2 + b^2 
Triangle is acute triangle

answer is A.
acute because 10^2 + 12^2 > 15^2

Tom usually earns $40.85 per hour. he has a 6% pay raise. which keys must he press on his calculator?

Answers

Pay raise= 6%
total pay raise= (6/100)x40.85
Total pay raise= $2.450
 
This can be a final answer. Your question is incomplete I think.

"+" & "=" button key Tom will press in the calculator.

What is multiplication?

The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the components that are multiplied are referred to as the factors.

To calculate Tom's pay raise, he can perform the following calculation on his calculator:

= 40.85 x 0.06

= 2.4510

So Tom's pay raise is $2.45 per hour.

To calculate Tom's new hourly rate, he can perform the following calculation:

= 40.85 + 2.45

= 43.30

So Tom's new hourly rate is $43.30.

Here is how the calculation can be done on most calculators:

Enter 40.85 and then press the "+" button.

Enter 2.45 and then press the "=" button.

The result should be 43.30, which is Tom's new hourly rate with a 6% pay raise.

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PLEASE HELP!!!
WILL GIVE BRAINIEST TO FIRST ANSWER

Which of the following inequalities is graphed on the coordinate plane?

A. y > 1/2x - 1/2
B. y is less than or equal to 1/2x - 1/2
C. y is greater than or equal to 1/2x - 1/2
D. y < 1/2x - 1/2

Answers

The answer is a if the line is dotted/dashed. The answer is c if the line isn't dotted/dashed.

Answer:

Option C

Step-by-step explanation:

Equation of any line is of the form y=mx+b where m is the slope and b the y intercept.

The given line has y intercept [tex]\frac{-1}{2}[/tex] and slope as [tex]\frac{1}{2}[/tex]

Hence equation of given line is :

[tex]y= \frac{1}{2}x-\frac{1}{2}[/tex]

Taking point (0,0) to check the inequality we have:

0≥[tex]\frac{-1}{2}[/tex]

The statement is true so option C [tex]y\geq \frac{1}{2} x-\frac{1}{2}[/tex] is right .

What is the remainder of 4^31 when divided by 10

Answers

We start with

[tex]4^1 \equiv 4 \ (\text{mod} \ 10)[/tex]

----------------------------

Square both sides

[tex]4^1 \equiv 4 \ (\text{mod} \ 10)[/tex]

[tex](4^1)^2 \equiv 4^2 \ (\text{mod} \ 10)[/tex]

[tex]4^2 \equiv 16 \ (\text{mod} \ 10)[/tex]

[tex]4^2 \equiv 6 \ (\text{mod} \ 10)[/tex]

----------------------------

Square both sides again

[tex]4^2 \equiv 6 \ (\text{mod} \ 10)[/tex]

[tex](4^2)^2 \equiv 6^2 \ (\text{mod} \ 10)[/tex]

[tex]4^4 \equiv 36 \ (\text{mod} \ 10)[/tex]

[tex]4^4 \equiv 6 \ (\text{mod} \ 10)[/tex]

----------------------------

Square both sides again

[tex]4^4 \equiv 6 \ (\text{mod} \ 10)[/tex]

[tex](4^4)^2 \equiv 6^2 \ (\text{mod} \ 10)[/tex]

[tex]4^8 \equiv 36 \ (\text{mod} \ 10)[/tex]

[tex]4^8 \equiv 6 \ (\text{mod} \ 10)[/tex]

----------------------------

Square both sides again

[tex]4^8 \equiv 6 \ (\text{mod} \ 10)[/tex]

[tex](4^8)^2 \equiv 6^2 \ (\text{mod} \ 10)[/tex]

[tex]4^{16} \equiv 36 \ (\text{mod} \ 10)[/tex]

[tex]4^{16} \equiv 6 \ (\text{mod} \ 10)[/tex]

----------------------------

So far we have found that,

[tex]4^1 \equiv 4 \ (\text{mod} \ 10)[/tex]

[tex]4^2 \equiv 6 \ (\text{mod} \ 10)[/tex]

[tex]4^4 \equiv 6 \ (\text{mod} \ 10)[/tex]

[tex]4^8 \equiv 6 \ (\text{mod} \ 10)[/tex]

[tex]4^{16} \equiv 6 \ (\text{mod} \ 10)[/tex]

Multiply out all of the left sides of those equations above. Multiply out the right sides as well to balance things out

[tex](4^1)*(4^2)*(4^4)*(4^8)*(4^{16}) \equiv 4*6*6*6*6 \ (\text{mod} \ 10)[/tex]

[tex]4^{1+2+4+8+16} \equiv 24*36*6 \ (\text{mod} \ 10)[/tex]

[tex]4^{31} \equiv 4*6*6 \ (\text{mod} \ 10)[/tex]

[tex]4^{31} \equiv 24*6 \ (\text{mod} \ 10)[/tex]

[tex]4^{31} \equiv 4*6 \ (\text{mod} \ 10)[/tex]

[tex]4^{31} \equiv 24 \ (\text{mod} \ 10)[/tex]

[tex]4^{31} \equiv 4 \ (\text{mod} \ 10)[/tex]

-------------------------------------------------------------------------
-------------------------------------------------------------------------

The final answer is 4

Final answer:

The remainder of 4^31 when divided by 10 is 4, determined by examining the repeating last-digit pattern of powers of 4.

Explanation:

To find the remainder of 4^31 when divided by 10, we can use the concept of powers and properties of numbers related to modulo arithmetic. Specifically, we look at the last digit pattern that emerges when calculating powers of 4, since the remainder when dividing by 10 depends solely on the final digit of the number.

The powers of 4 have a cycle: 4^1 ends with 4, 4^2 ends with 6, 4^3 ends with 4 again, and so on. This cycle repeats every two powers, so we only need to consider the power of 4 modulo 2 to determine the last digit of 4^31. Since 31 is an odd number, we know that 4^31 will end with a 4. Hence, the remainder of 4^31 divided by 10 is 4.

60 POINTS!!

What are the missing parts that correctly complete the proof?

Answers

2. definition of bisector
3.definition of perpendicular
4.∠AXP=~∠AXQ
6.SAS congruence postulate
7.Corresponding parts of congruent triangles are congruent

the guy below/above is correct

In a rhombus, which of the following are always equal? Select all that apply.

opposite angles
diagonals
opposite sides
consecutive angles

Answers

opposite sides
opposite angles

hope it helps
opposite side and opposite angles would be the answers

Given the functions f(x) = 2x −1 and g(x) = 2x + 4, which operation results in the largest coefficient on the x term? addition subtraction multiplication two operations result in the same coefficient

Answers

First lets do the addition. f(x) + g(x)
f(x) + g(x)
2x-1 + 2x + 4
4x -1 + 4
4x + 3
Largest coefficient on x = 4

Second lets do the subtraction. f(x) - g(x)
f(x) - g(x)
(2x-1) - (2x+4)
2x - 2x - 1 - 4
-5
Largest coefficient on x = 0


Third lets do the multiplication. f(x) *g(x)
(2x-1) * (2x+4)
[tex]4x^2 + 8x - 2x - 4[/tex]
[tex]4x^2 + 6x - 4[/tex]
Largest coefficient on x = 6

Answer: Multiplication will result in the largest coefficient on the x term.


The range for a set of data is estimated to be 36.
a. what is the planning value for the population standard deviation?

Answers

The range of a data set is approximately 6 standard deviations of the data set.

Given that the range of a data set is 36, the planning value for the population standard deviation is given by [tex]\sigma= \frac{1}{6} (36)=6[/tex].
Final answer:

The planning value for the population standard deviation can be found by dividing the range by 4.

Explanation:

To estimate the population standard deviation, we can use the planning value formula. The planning value for the population standard deviation is equal to the range divided by 4. Thus, in this case, if the range is estimated to be 36, the planning value for the population standard deviation would be 9.

Would x + x + x +x be 4 or 4x?

Answers

x+x+x+x would just be 4x because there are 4 x's

Answer:

x+x+x+x = 4x.

Step-by-step explanation:

x + x + x + x can represent 4x since there are 4 x’s. Those 4 x’s represent x being multiplied by 4, since there are 4 x’s.

Therefore, your answer is 4x.

The map scale is 1in: 40 miles . the distance on the map is 3.5 inches . what is the actual distance

Answers

Since 1 inch is 40 miles
3.5 inches is 40 miles*3.5 inches or 140 miles

brainiest to best answer!

The deepest part of the Mariana trench (the deepest trench in the world’s oceans) is at an elevation of -11.033 kilometers. The elevation of the deepest part of the Atacama trench is -8.065 kilometers. What is the net change in elevation from the Atacama trench to the Mariana trench?
19.098 kilometers
2.968 kilometers
-2.968 kilometers
-19.098 kilometers

Answers

if you subtract -11.033--8.065 that will give you -2.968, so -2968 would be your answer. I hope this helps, good luck. 

The net change in elevation from the Atacama trench to the Mariana trench is 2.968km.

What is the net change in elevation from the Atacama trench to the Mariana trench?

We know that the deepest part of Mariana trench is at -11.033 km, while the deepest part of the Atacama trench is -8.065km.

To find the net change, we need to find the difference between the largest value and the smallest value.

So we get:

D = -8.065km - (-11.033 km) = 2.968km

Then the correct option is the second one.

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Daniel mows lawns on the weekend. He graphed his earnings below. What is the rate he charges to mow? A. $15.00 per lawn B. $7.50 per lawn C. $60.00 per lawn D. $1.50 per lawn

Answers

Final answer:

To determine Daniel's rate per lawn mowing, we would need to divide his total earnings by the total number of lawns mowed. The answer can also be found by evaluating the slope of a graph with earnings on the y-axis and lawns mowed on the x-axis as the slope would represent his earnings per mow.

Explanation:

Without the graph provided, we can't determine the exact answer to this problem. However, conceptually, Daniel's rate per lawn would be calculated by dividing the total amount he earned by the total number of lawns he mowed. For example, if he earned $60 from mowing 4 lawns, his rate would be $15 per lawn.

To find the answer using a graph, you would need to evaluate the slope of the line if the y-axis represents earnings and the x-axis represents lawns mowed. The slope of the line provides the rate, which is Daniel's earnings per mow.

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A rectangle has a length of 8 cm and breadth 6cm . What is the perimeter in cm of the rectangle

Answers

8+8+6+6=__cm
8+8+6+6=28cm
The formula for the perimeter of rectangle is 2*( length+breadth)
So we have to do 2*(8+6)=2*14=28
So the perimeter is 28

whats 10 minutes plus 7minutes plus 48minutes plus 1 hour and 29 minutes equal?

Answers

2 hours and 34 minutes

Answer: 2 hours and 34 minutes

Step-by-step explanation:

10 minutes plus 7 minutes plus 48 minutes plus 60 minutes plus 29 minutes equals 154 minutes. 154 minutes equals 2 hours and 34 minutes.

Graph the equation 5x+2y=10

Answers

Desmos graphing calculator is a very helpful tool!

 5x+2y=10: Displayed in the image below

Jonah and his friends went to the movie theater. He bought a movie ticket, and he split the cost of a giant popcorn with his friends. Jonah's costs are represented by the expression 11+15/x . What do the different parts of the expression model? Drag the parts of the expression into the boxes to match each description. Cost of movie ticket Total cost of popcorn Jonah's portion of popcorn cost

Answers

11 equals the cost of the movie ticket, 15 equals the cost of the popcorn, and x equals the amount of friends he is dividing the cost of the popcorn by. 

Answer:

Cost of movie ticket = 11

Total cost of popcorn = 15

Jonah's portion of popcorn cost = 15/x

Step-by-step explanation:

1. I

2. Took

3. The

4. Test

If a set of data is in the direction of a downward line, which of the following would be the best model for this data?
Quadratic regression model
Exponential regression model
Linear regression model
None of the above

Answers

I'm not too sure about this, but I feel that it's a linear regression. A quadratic one eventually reverses direction, and an exponential one levels off and stops decreasing.

The area of a rectangle is 24 square cm. the length of the rectangle is 8 cm. find the perimeter

Answers

The perimeter is 22 cm

If 5x + 5 =25 + 3x then x = ? (im in pre algebra)

Answers

Salutations!

[tex]5x+5 = 25+3x[/tex]

Isolate the variables

[tex]5x -3x = 25 -5[/tex]

[tex]7x = 21[/tex]

[tex]x=21/7[/tex]

[tex]x=3[/tex]

Hope I helped (:

Have a great day!
Final answer:

To solve the equation 5x + 5 = 25 + 3x, subtract 3x from both sides, subtract 5 from both sides, and divide by 2 to find x = 10.

Explanation:

To solve the equation 5x + 5 = 25 + 3x, you need to isolate the variable x. First, subtract 3x from both sides of the equation to combine like terms: 5x - 3x + 5 = 25. Simplify: 2x + 5 = 25. Next, subtract 5 from both sides of the equation to isolate the variable: 2x = 20. Finally, divide both sides of the equation by 2 to solve for x: x = 10.

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