scored 28 points in his basketball game by shooting only two point and three point shots. He scored a total of 13 baskets
te a system of equations to represent the number of each type of basket Jake scored. Explain your thinking:

Answers

Answer 1

Answer:

Let x represent the number of 2 pointers made.

Let y represent the number of 3 pointers made.

We have to create a system of equations to solve this problem:

Isolate for  in Equation #1:

Substitute the new Equation #1 into Equation #2:

Solve for  :

Distribute the Parenthesis:

Combine like terms:

Add -46 to both sides:

Substitute this value into Equation #1:

Add -7 to both sides:

The Solution Is:

Jake made 16 two-pointers and 7 three-pointers!

I hope this helped!

Step-by-step explanation:


Related Questions

What is the ​ IQR ​ for the data set? {61, 70, 59, 55, 69, 59, 62} Drag and drop the correct answer into the box.

Answers

Answer:

10

Step-by-step explanation:

Interquartile Range Formula:

IQR = Q3 - Q1

Quartiles Quartiles:

Q1 --> 59

Q2 --> 61

Q3 --> 69

69 - 59 = 10

[RevyBreeze]

Answer:

10

Step-by-step explanation:

The IQR(interquartile range is the sencond highest number subtracting 2 lowest number unlike range is highest subtract lowest

Hope this helps have a great day:)

What is the elasticity of demand between $1 to $2?

Answers

I say it's 10$ because surprise is on the side and quality is on the bottom surprised the line is hitting 10 which it will be $10

What does the C mean in these problems?

Answers

Answer:

[′präb·ləm ‚def·ə‚nish·ən] (computer science) The art of compiling logic in the form of general flow charts and logic diagrams which clearly explain and present the problem to the programmer in such a way that all requirements involved in the run are presented.

i need help with this

Answers

Answer:

x = 2 square roots of 2

Step-by-step explanation:

it is a 45-45-90 triangle and in that the two legs are equal to each other so both are 2 and then the hypotenuse is x times the square root of 2

find the circumference of the circle if the area is 64 inches squared

Answers

Step-by-step explanation:

the area of a circle is

A = pi × r²

the circumference of a circle is

C = 2 × pi × r

so,

A = pi × r² = 64 in²

r² = 64 / pi

r = sqrt(64 / pi) = 8×sqrt(1/pi) in

the circumference is then

C = 2 × pi × r = 2 × pi × 8×sqrt(1/pi) = 16×pi×sqrt(1/pi) =

= 28.35926161... in

A rock is dropped from a bridge 320 feet above a river. The pathway that the rock takes can be modeled by the equation h=-16t squared+320. How long will it take the rock to reach the river?
A. 2.5 sec
B. 3.5 sec
C. 3.8 sec
D. 4.5 sec

Answers

Answer:

D.  4.5 sec

Step-by-step explanation:

Once the rock is on the ground it has no height (h=0)    

h = -16t² + 320

0 = -16t² + 320

16t² = 320

t² = 20

t² = 20

t = √20

t= √4x5

t = 2√5

around 4.5 seconds

100 POINTS AND BRAINLIEST! FULLY CORRECT AND EXPLANITORY ANSWERS ONLY!
You have been hired as a consultant by Mr. Robbins of the large Ice Cream company Dachshund Robbins. As part of assisting them with determining things like the number of cones that can be made per container of ice cream, they’ve asked you to determine the amount of ice cream in a properly filled cone.

Please note Mr. Robbins is very insistent that all cones be properly filled according to the sketch above, and that he’s running an honest business.

PART A: What shapes is the cone composed of that we can find the volume of?


PART B: What is the volume of those shapes?


PART C: Find the volume of the composite shape for Mr. Robbins, and make sure to show your work.

THERE ARE 3 PARTS! ANSWER ALL CORRECTLY AND EXPLANITORY FOR 100 POINTS AND BRAINLIEST! Thank you!!

Answers

Part A: the composite shape is composed of a cone and a half sphere

Part B: The volume of the cone is 1186.92 And the volume of the half sphere is 1526.04

Part C: The volume of the composite shape is the solution of                                                          1186.92+1526.04 = 2712.96

The radius of both the cone and the half sphere is 9 inches and the hight of the cone is 14 inches, using the formula (volume = (1/3) · π · r2 · h) Putting the radius in the r spot and squareing it which is equal to 9x9=82 and putting the hight in the h and turning the pi symbol into 3.14 we get

Volume = (1/3) · 3.14 · 82 · 14

We get the volume of the cone which is 1186.92

Then we use the formula (volume = (4/3) · π · r3) putting the radius in where the r is which is equal to 9x9x9 And changing the pi symbol for 3.14 we get

volume = (4/3) · 3.14 · 729 ÷ 2) = 1526.04

We get the volume of the half sphere which is 1526.04

We then add all of it up to get 1186.92 + 1526.04 = 2712.96


I halved it because it's a half sphere

Jessica rented 1 video game and 3 movies for a total of 11.50$. the video game cost 4.75$ to rent the movies cost the same amount each to rent. what amount, in dollars, did Jessica pay to rent each movie

Answers

Answer:

It costs 2.25 to rent a movie

Step-by-step explanation:

11.50-4.75=6.75

6.75/3=2.25

Cost of a Kitten: 99.95 Markup:75%
Discount:46%

Answers

94.45275 hope this helps

The size of your pool cover distance or area

Answers

Answer:

You solve this question

Step-by-step explanation:

Area = To work out the area of a square or rectangle, multiply its height by its width. If the height and width are in cm, the area is shown in cm².

Distance = It a numerical measurement of how far apart objects or points are.

Answer:

My pool's maximum depth: 6ft

My pool's full width: 10ft

My pool's full length: 12ft

(yea, it's pretty big!)

How do I find the area of my pool now?

First, let's start with the distance covered by the pool (area)

We can find that by just doing 10x12, which is 120

So, my pool's distance is 120ft²

EXTRA:

Now, the VOLUME of my pool...

we can find it by doing 6x10x12

6x10=60

6x12=72

60x12=720

So, my pool's VOLUME is 720ft.²

Thanks!

Answered by: FieryAnswererGT

#learnwithbrainly

With regularly distributed data, what percentage of the data points will fall within one standard deviation from the mean?.

Answers

Answer:

68%

Step-by-step explanation:

The Empirical Rule states that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean. Under this rule, 68% of the data falls within one standard deviation, 95% percent within two standard deviations, and 99.7% within three standard deviations from the mean.

What is the solution set for the inequality 4 - 5g > 39?

Answers

The solution set for the given inequality is [tex]g > -7[/tex]

Given the following inequality:

[tex]4 - 5g > 39[/tex]

What is an inequality?

An inequality can be defined as a mathematical relation that is typically used to compare two (2) integers or variables in an equation by illustrating any of the following:

Greater than (>).Less than (<).Greater than or equal to the other (≥).Less than or equal to the other (≤).

Simplifying the inequality, we have:

[tex]4 - 5g > 39\\\\5g > 4-39\\\\5g > -35\\\\g > -7[/tex]

Read more on inequality here: https://brainly.com/question/24372553

HELP ASAP! 2. in the figure, x is an exterior angle to the triangle below.

(a) explain why x is equal to the sum of the measures of the two nonadjacent interior angles. You need to present the equation with the steps/work that proves this theorem.

Step 1: __

Step 2: __

Step 3: __

(b) what is the measurement of < x ?

Answers

Answer: 56°


Step-by-step explanation: 116° = 60 ° + X° ( Exterior angle is equal to sum

of 2 opposite interior angle)

X = 116° - 60° 

X = 56°

If u find it helpful mark it brainliest

PLEASE ANSWER QUICKLY

Answers

Answer:

C. Both have the same y- intercept

Step-by-step explanation:

It’s c, hope this helps :>

4−10 =84 what is the answer n explanation

Answers

Answer:

x=23.5

Step-by-step explanation:

4x-10=84

 +10  +10

4x=94

x=94/4

94/4=23.5

Hope this Helps!

If not I am sorry.

Choices below

The exponential grows at approximately half the rate of the quadratic.
The exponential grows at approximately the same rate as the quadratic.
The exponential grows at approximately twice the rate of the quadratic.
The exponential grows at approximately four times the rate of the quadratic.

Answers

Answer:

The exponential grows at approximately half the rate of the quadratic.

Step-by-step explanation:

Average rate of change of function f(x) over the interval a ≤ x ≤ b :

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

Interval: [tex]0\leq x\leq 1[/tex]

[tex]\implies a=0, b=1[/tex]

Quadratic function:  [tex]f(x)=2x^2[/tex]

[tex]\implies f(0)=2(0)^2=0[/tex]

[tex]\implies f(1)=2(1)^2=2[/tex]

[tex]\implies \textsf{Average rate of change}=\dfrac{f(1)-f(0)}{1-0}=\dfrac{2-0}{1}=2[/tex]

Exponential function:  [tex]f(x)=2^x[/tex]

[tex]\implies f(0)=2^0=1[/tex]

[tex]\implies f(1)=2^1=2[/tex]

[tex]\implies \textsf{Average rate of change}=\dfrac{f(1)-f(0)}{1-0}=\dfrac{2-1}{1}=1[/tex]

Therefore, the exponential grows at approximately half the rate of the quadratic in the interval [tex]0\leq x\leq 1[/tex]

the reciprocal of each number?
2
1/3
0.6
-5
2 1/2
1.4
3.2
-4

Answers

Answer .5,3,1.66666666667,-.2,.4,.71428571428,.3125,-.25

Step-by-step explanation:

A bus leaves a bus station at 9:00 am and travels on the Eastbound Highway. A second bus leaves the same bus station 45 minutes later and travels in the same direction on the same highway at a speed of 20 kilometers per hour faster than the first bus. The second bus catches up with the first bus at 12:00. How fast was each bus traveling? (Include units in your answer. ) A. [3 pts) Define variables to represent the unknowns and setup the necessary equations to answer the question

Answers

The speed of the first bus is 60 km/h while the speed of the second bus is 80 km/h.

Speed

Speed is the rate of change of distance with time. It is given by:

Speed = distance / time

Let a represent the speed of the first bus, and b represent the speed of the second bus.

b = a + 20

At 12:00, t = 3 hours, hence:

a = d/3

d = 3a

Also:

b = d/2.25

d = 2.25b

3a = 2.25b

3a = 2.25(a + 20)

a = 60

b = 60 + 20 = 80

The speed of the first bus is 60 km/h while the speed of the second bus is 80 km/h.

Find out more on Speed at: https://brainly.com/question/4931057

How do you work out this

Answers

Step-by-step explanation:

5x+4x=180°(Co-interior angles)

9x=180°

X=180/9

X=20

please mark brainlesit

A website streams movies and television shows to millions of users. Employees know that the average time a user spends per session on their website is 2 hours. The website changed its design, and they wanted to know if the average session length was longer than 2 hours. They randomly sampled 100 users and found that their session lengths had a mean of 2.75 hours and a standard deviation of 1.55 hours. The employees want to use these sample data to conduct at test about the mean.

Required:
Which conditions for performing this type of test did their sample meet?

Answers

Using the Central Limit Theorem, it is found that since the sample size is greater than 30, a normal approximation can be used, hence the test can be made.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.

In this problem, the distribution of lengths is skewed, however, since the sample size is of 100 greater than 30, a normal approximation can be used, hence the test can be made.

To learn more about the Central Limit Theorem, you can check https://brainly.com/question/24663213

Answer:

The picture shows what you're looking for.

Step-by-step explanation:

The figures are congruent because Figure ABCD maps onto Figure KLMN by a reflection and a translation.

The figures are congruent because Figure ABCD maps onto Figure KLMN by a rotation.

The figures are not congruent because Figure ABCD does not map onto Figure KLMN by a sequence of transformations.

The figures are not congruent because Figure ABCD only maps onto Figure KLMN by a dilation.

Answers

Answer:

The figures are not congruent because Figure ABCD does not map onto Figure KLMN by a sequence of transformations.

Step-by-step explanation:

A 45-45-90 triangle is a special type of isosceles right triangle that has angle measures of 45°, 45°, and 90°. Every 45-45-90 triangle has the same ratio of side lengths. If the legs of a 45-45-90 triangle are a, write an expression for the length of the hypotenuse.

Answers

Answer:

[tex]a\sqrt{2} =h[/tex]

Step-by-step explanation:

The expression for the length of the hypotenuse is 2x.

Where x is any positive integer.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

An isosceles right triangle has angle measures of 45°, 45°, and 90°.

This means,

Two sides opposite to the equal angles are equal.

Now,

Equal sides = M

Hypotenuse sides = N

Now,

Every 45-45-90 triangle has the same ratio of side lengths.

This means,

Angles ratio:

45 : 45 : 90 = 1 : 1 : 2

Similarly,

Sides ratio:

M : M : N = 1x : 1x : 2x

Thus,

The expression for the length of the hypotenuse is 2x.

Where x is any positive integer.

Learn more about triangles here:

https://brainly.com/question/25950519

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Write 3 570 000 the following in scientific notation

Answers

3.57* 10 to the sixth power :)

What is 290,750÷125 this is a good one I hope u can work this out.

Answers

Answer:

2326

Step-by-step explanation:

A manager records the number of hours, X, each employee works on his or her shift and develops the probability distribution below. Fifty people work for the manager. How many people work 4 hours per shift?.

Answers

Total number of employee working for four hours per shift for the manager is 2 people.

What is probability?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event. The probability of an event can not be more than the number 1.

The probability of failure of an event is equal to the difference of the 1 to the success of the event.

Here, the manager records the number of hours, X, each employee works on his or her shift and develops the probability distribution below.

Probability Distribution

Hours Worked: X     Probability: P(X)

           3                         0.1

           4                           ?

           5                        0.14

           6                         0.3

           7                        0.36

           8                       0.06

As, the probability of an event can not be more than the number 1. Thus, the sum of all the probabilities will be equal to 1.

Let suppose the probability of people working for four hour is x. Therefore,

[tex]0.1+x+0.14+0.3+0.36+0.06=1\\x+0.96=1\\x=1-0.96\\x=0.04[/tex]

Now, the total number of people work for the manager is 50. Therefore, total number of people working for 4 hours are,

[tex]0.04\times50=2[/tex]

Hence, total number of employee working for four hours per shift for the manager is 2 people.

Learn more about the probability here;

https://brainly.com/question/24756209

PLEASE HELP ASAP WILL GIVE BRAINLIEST
(a)Find the greatest common factor (GCF) of 20 and 15.
(b)Use the GCF to factor 20 – 15.

Answers

Answer:

A.) 5

B.) 5

Step-by-step explanation:

Factors of 15 are: 1, 3, 5, 15

Factors of 20 are: 1, 2, 4, 5, 10, 20

please help me with this




Answers

Answer:

Samantha is taller then Elisa

Step-by-step explanation:

I hope this helps you.

Answer: Samantha is taller then Elisa

hope this helps :) if i get this wrong then my bad

Can someone help me with this question? I need help ASAP ⚠️⚠️

One can of frosting covers about 280 square inches, Is one fan of frosting enough to frost the cake?
- fill in the blanks

Answers

Answer:

frist brack answers is 32and sandebracket and is55and third bracket and is 98


Plsease help me with this one plsease

Answers

A = -3 B = 39 +6 mo para makuha mo -6 nmn para sa a 3-6 is -3
a = -3

b = 39

As x increases by 1, y decreases by 6

Help meee please l don’t understand it’s a new topic

Answers

The unsorted stem-and-leaf diagram would look like this:

5 | 6, 3, 5, 0, 2

3 | 2, 7, 3, 3, 4

2 | 6, 9, 1, 1

1 | 7, 1, 1, 6, 8

4 | 4, 2, 4, 3, 4

Basically, you separate the given set of numbers by their whole number part (the digit before the decimal) and list the numbers' fractional part (digit after the decimal) in the order you see them.

The sorted diagram would then be

1 | 1, 1, 6, 7, 8

2 | 1, 1, 6, 9

3 | 2, 3, 3, 4, 7

4 | 2, 3, 4, 4, 4

5 | 0, 2, 3, 5, 6

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