Can someone please help me with this question please help me.


James scored a total of 16 points during a basketball game. During the game, he made only free throws, worth 1 point each, and 3-point baskets. He made a total of 10 free-throws and 3-point baskets. Determine exactly how many free throws and how man 3-point basket James made during the game.

Answers

Answer 1

Answer:

x = 7 , y = 3 , or 7 free throws, and 3 3-pointers.

Step-by-step explanation:

James scored a total of 16 points during a basketball. Only free throws and 3-point baskets are used. Free throws = 1 point (x), 3-pointers = 3 points (y).

Set the equations:

16 = x + 3y

10 = x + y

First, isolate the variable x in the second equation. Divide y from both sides of the equation:

10 (-y) = x + y (-y)

x = 10 - y

Next, plug in 10 - y for x in the first equation:

16 = x + 3y

16 = (10 - y) + 3y

Simplify. Combine like terms:

16 = 10 - y + 3y

16 = 10 + (-y + 3y)

16 = 10 + 2y

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, subtract 10 from both sides of the equation:

16 (-10) = 10 (-10) + 2y

2y = 16 - 10

2y = 6

Next, divide 2 from both sides:

(2y)/2 = (6)/2

y = 6/2 = 3

Plug in 3 for y in one of the equations:

16 = x + 3y

16 = x + 3(3)

16 = x + 9

Isolate the variable, subtract 9 from both sides of the equation:

16 (-9) = x + 9 (-9)

x = 16 - 9

x = 7

x = 7 , y = 3 , or 7 free throws, and 3 3-pointers.

Plug in to check:

16 = x + 3y

10 = x + y

16 = (7) + 3(3)

16 = 7 + 9

16 = 16 (True)

10 = (7) + (3)

10 = 10 (True).

~

Answer 2

Answer:

x = 7 , y = 3  or 7 free throws, and 3 3-pointers.

Step-by-step explanation:


Related Questions

Can yall help me need help ASAP​

Answers

Answer:

18+2x>_0

18/2 + 2x/2

x= 9

Step-by-step explanation:

first take the 2x to the other side which will automatically change from - to + and then divide both 18 and 2x by 2

Can you solve it on paper

Answers

Answer:

28/15

Step-by-step explanation:

Determine the volume of a square pyramid that has a height of 7 inches and a base with a side
length of 5 inches

Answers

Answer:

v=58.33in^3

Step-by-step explanation:

v=a^2h/3=5^2×7/3=58.33333 in^3

Solve this please )x

Answers

What the what am I supposed to-

Answer:

okay so first of all who ever gave you this question, murder them. now second of all if u still have to do this even after murdering them then murder everyone. Finally, Don't stress on this and go watch a movie or something.

it earned 32000 per month has been One by fourth of his income on food 3y 10 of the remainder on house rent and 5 by 21 of the remainder on the education of children how much money is still life with him​

Answers

He will have 6780.95 left with him

Gerald has a bag of 10 colored balls: 3 green, 3 red, and the rest yellow. He randomly draws two balls, one at a time without replacement. Find the probability of drawing at least one yellow ball.

Answers

Answer:

2/3

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the number of total outcome.

Given that there are 10 balls of which 3 green, 3 red, and the rest yellow

Number of yellow balls = 10 - 3 - 3 = 4

Probability of picking a;

Green ball  = 3/10

Red ball = 3/10

Yellow ball = 4/10

If two balls are picked without replacement, the probability that one is at least yellow will be

YR RY YG GY YY

= 4/10*3/9 + 3/10*4/9 + 4/10*3/9 + 3/10*4/9 + 4/10*3/9

=12/90 *5

= 2/3

A mountain climber took 2 minutes to rappel down 60 feet. Which equation shows the correct calculation to show his movement per minute?

Answers

Answer:

–60 ÷ 2 = –30

Step-by-step explanation:

Calculation to determine the equation that shows the correct calculation to show his movement per minute

Using this formula

Speed rate = Distance / Time

Where,

Distance=-60 ft

Time =2 min

Let plug in the formula

Speed rate = -60 ft /2 min

Speed rate = -30

Based on the information given we were told that the climber rappel DOWN which is why the distance was negative.

Therefore the equation that shows the correct calculation to show his movement per minute is –60 ÷ 2 = –30

What’s 4.5 m = what? cm plz anyone help

Answers

Answer:

450 cm

Step-by-step explanation:

1 meter is equal to 100 cm. Thus, we multiply 4.5 with 100 which yields 450 cm.

Help please!! Will mark brainstest!!
The question is
What do you predict will be the income of someone who has 20 years of experience?
A) the income will be about $72,000 per year
B) the income will be about $63,000 per year
C) the income will be about $36,000 per year
D) the income will be about $49,000 per year​

Answers

I wanna say the answer is b, 63,000 per year

Look at the two-dimensional net shown.

A rectangular pyramid. The rectangular base has a length of 10 meters and height of 3 meters. 2 triangular sides have a base of 10 meters and height of 6.4 meters. 2 triangular sides have a base of 3 meters and height of 8 meters.

Which statements are true?
Check all that apply.
The solid formed by the net will be a rectangular pyramid.
The solid formed by the net will be a square pyramid.
All four triangular faces have an area of 12 m2.
There are two sets of opposite congruent triangular faces.
The base has an area of 30 m2.

Answers

Answer: Pyramid A: Base is rectangle with length of 10 meters and width of 20 meters.

Pyramid B: Base is square with 10 meter sides.

Heights are the same.

Step-by-step explanation: The volume of pyramid A is TWICE the volume of pyramid B.

If the height of pyramid B increases to twice the of pyramid A, (from 10m to 20m),  

V of square pyramid = (10m)² * (10*2)/3 = 100m² * 20m/3 = 100m² * 6.67m = 666.67 m³

The new volume of pyramid B is EQUAL to the volume of pyramid A.

9. Calcule el valor de la fuerza que experimenta un ascensor cuando levanta 150 kg en los siguientes casos: a) Cuando asciende con una aceleración de 4 m/s2 b) Cuando asciende con una aceleración de 6 m/s2 c) Explique: ¿Por qué el ascensor experimenta diferentes aceleraciones si levanta el mismo peso en ambos casos?

Answers

Answer:

a) La fuerza neta que experimenta un ascensor cuando asciende con una aceleración de 4 metros por segundo al cuadrado es 600 newtons hacia arriba.

b) La fuerza neta que experimenta un ascensor cuando desciende con una aceleración de 6 metros por segundo al cuadrado es 900 newtons hacia abajo.

c) Por la fuerza de tensión sobre el cable del ascensor.

Step-by-step explanation:

a) La fuerza neta experimentada por el ascensor ([tex]F[/tex]), en newtons, es:

[tex]F = m\cdot a[/tex] (1)

Donde:

[tex]m[/tex] - Masa, en kilogramos.

[tex]a[/tex] - Aceleración, en metros por segundo cuadrado.

Si sabemos que [tex]m = 150\,kg[/tex] y [tex]a = 4\,\frac{m}{s^{2}}[/tex], entonces la fuerza neta del ascensor es:

[tex]F = m\cdot a[/tex]

[tex]F = 600\,N[/tex]

La fuerza neta que experimenta un ascensor cuando asciende con una aceleración de 4 metros por segundo al cuadrado es 600 newtons hacia arriba.

b) Si sabemos que [tex]m = 150\,kg[/tex] y [tex]a = -6\,\frac{m}{s^{2}}[/tex], entonces la fuerza neta del ascensor es:

[tex]F = m\cdot a[/tex]

[tex]F = -900\,N[/tex]

La fuerza neta que experimenta un ascensor cuando desciende con una aceleración de 6 metros por segundo al cuadrado es 900 newtons hacia abajo.

c) De manera simplificada, el ascensor experimenta dos fuerzas que definen la fuerza y aceleración netas: (i) La fuerza de tensión sobre el cable que traslada el ascensor y el peso total del ascensor, opuesta a la anterior y en función de la aceleración gravitacional. Puesto que la masa no varía en ningún caso, se concluye que el peso es constante, entonces la diferencia de valores se debe a la fuerza por tensión del cable. En el descenso, es fuerza es menor que en el ascenso.

Plz make sure when you put an answer it is correct I’ll give you brainliest !

Answers

Answer:

C. 35 degrees

Step-by-step explanation:

Answer:

35 is your answer 21 plus 51 plus 73 plus 35

Help! Il give you brainlest

Answers

with what ?? there’s no attachment

Answer:

What?  there is no question here

Step-by-step explanation:

On Wednesday 72% of the customers who bought gas at a gas station also bought a hot dog. There were 25 customers in all who bought gas.

Answers

Answer:

18 People bought hot dogs

Step-by-step explanation:

The question is not complete, but I’m assuming you need the number of people who bought hot dogs.

25 customers bought gas.

72% of them also bought a hot dog.

So thE number of customers who bought hot dogs are 72% of 25

=> 72/100 * 25

=> 0.72 * 25

= 18 people

A cylinder has a diameter of 12 centimeters and a height of 7 centimeters. Which formula below could be used to determine the lateral surface area of the cylinder?

Answers

SA = 12(pi)(7)
SA is about 263.89

What is a possible result os simplifying the equation 15x-4=3(5x-4)?

Answers

Answer:

C. -4 = -12

Step-by-step explanation:

15x-4 = 3(5x-4)

15x - 4 = 15x - 12

-4 = -12

What is 12,634 divided by 6

Answers

Answer:

439 :)

Step-by-step explanation:

12,634/6

439

Answer:

2105.66667 or 2105.67 :)

Step-by-step explanation:

hope this helps! have a great day!!

What is m∠B to the nearest tenth?

ACB is right angle triangle. The length of AC is 14.1 and the length of BC is 22.9.

Answers

Answer:

18.044

Step-by-step explanation:

hope it helps you good day if I'm wrong tell me right away I'll try it out again.

The measure of  ∠B   is 31.6 .

What is trigonometric ratio?

Trigonometric ratios are the ratios of the length of sides of a triangle.

These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.

The basic trigonometric ratios formulas are given below,

sin θ = Perpendicular/Hypotenuse

cos θ = Base/Hypotenuse

tan θ = Perpendicular/Base

sec θ = Hypotenuse/Base

cosec θ = Hypotenuse/Perpendicular

cot θ = Base/Perpendicular

According to the question

In right angle triangle ACB

Base BC= 22.9

Perpendicular AC = 14.1

now , using trigonometric ratio

tan ∠B  = [tex]\frac{AC}{BC}[/tex]

tan ∠B  = [tex]\frac{14.1}{22.9}[/tex]

∠B  = [tex]tan^{-1} 0.615[/tex]

∠B  = 31.6

Hence, The measure of  ∠B   is 31.6 .

To know more about trigonometric ratio here:

https://brainly.com/question/25122825

#SPJ2

anybody know how to do this?????

Answers

Answer:

[tex]x = 30[/tex]

Step-by-step explanation:

In order A to be parallel to B, our alternate interior angles must be equal.

This means that

[tex]5x = 3x + 60[/tex]

[tex]2x = 60[/tex]

[tex]x = 30[/tex]

Marissa bought a piece of wood that is a 4 feet long to make shelves. She saws it into five equ pieces. She then draws the model below to find the length of each piece

Answers

where’s the model
attach one looooolll

Please help me out with this

Answers

Answer:

112 cm^2

Step-by-step explanation:

Area of a rhombus is equal to half of the product of the diagonals, so it is 14 * 2 * 8 / 2 = 14cm * 8cm = 112 cm^2.

Other point of view: It is the sum of areas of two triangles of area 14*8/2. So the area is 14*8.

2 + 1.25f = 10 - 2.75f

Answers

Answer:

F=2

Step-by-step explanation:

1.25f+2.75f=10-2

calculate like terms

4f=8

divide

F=2

1. Jillian and Harold both leave the mall to go home headed in different directions. The angle between their paths towards home is 57(degrees). Harold lives 3.7km from the mall and Jillian lives 2.3km. Determine how far apart these two friends live from each other.

Answers

Answer:

ok mlol

Step-by-step explanation:

In two similar triangles find the ratio of corresponding sides if the areas are 50cm²and 98cm²​

Answers

Answer:

5:7

Step-by-step explanation:

The areas of two triangles are 50cm²and 98cm²​.

We need to find the ratio of corresponding sides. It can be calculated as follows :

[tex]\dfrac{s_1}{2_2}=\sqrt{\dfrac{A_1}{A_2}} \\\\=\sqrt{\dfrac{50}{98}}\\\\=\sqrt{\dfrac{25}{49}}\\\\=\dfrac{5}{7}[/tex]

So, the ratio of corresponding sides are 5:7.

Milo is volunteering at a food pantry. In the first hour, he packs 3 boxes every
5 minutes. In the second hour, he packs 5 boxes every 6 minutes. What is the
difference of his packing rates during each hour of his volunteer shift, in boxes
per hour?

Answers

14 boxes per hour
60/5=12
12*3=36
60/6=10
10*5=50
50-36=14

Line d is parallel to line c in the figure below.

Parallel lines d and c are intersected by lines q and p to form 2 triangles. At lines d and p, the angle is 2, at d and q, the angle is 1, and at q and p the angle is 3. At lines c and q, the angle is 4, at p and c, the angle is 5, and the third angle is 6.

Which statements about the figure are true? Select three options.
A.Vertical angles prove that Angle 2 is congruent to angle 5.
B. In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.
c. Vertical angles prove that Angle 3 is congruent to angle 6.
D.The triangles are similar because alternate interior angles are congruent.
E.In the two similar triangles, Angle 2 and Angle 4 are corresponding angles.
F.The triangles are similar because corresponding sides are congruent.

Answers

Answer:

Its the 2nd, 3rd, and 4th answer.

Step-by-step explanation:

: )

Have a great day.

Do you want a explanation?

Answer:

2nd 3rd and 4th

Step-by-step explanation:

I am the best :)

Mhanifa please help i will mark brainliest :)

Answers

Answer:

If figures are similar, corresponding sides have same ratio.

Similar polygons

Side IJ x is corresponding with QR, and side HK with PS:

x/6.5 = 25.5/8.5x = 6.5*3x = 19.5 Similar triangles

Ratio of corresponding sides:

x/7 = 18/6x = 7*3x = 21

On one day a pet store sells 2 birds 6 gerbils 3 fish and 3 hamsters whats the data and relative frequency as a percent?

Answers

Answer:

Birds [tex]F_b=14.3\%[/tex]

Gerbils [tex]F_g=42.9\%[/tex]

Fish [tex]F_f=21.4\%[/tex]

Hamsters [tex]F_h=21.4\%[/tex]

Step-by-step explanation:

From the question we are told that:

Sales

Number of birds  [tex]n_b=2[/tex]

Number of gerbils  [tex]n_g=6[/tex]

Number of fish  [tex]n_f=3[/tex]

Number of hamsters  [tex]n_h=3[/tex]  

Generally the frequency for birds [tex]F_b[/tex] is mathematically given b

[tex]F_b=\frac{n_b}{n}*100[/tex]

[tex]F_b=\frac{2}{14}*100[/tex]

[tex]F_b=14.3\%[/tex]

Generally the frequency for Gerbils [tex]F_g[/tex] is mathematically given b

[tex]F_g=\frac{n_g}{n}*100[/tex]

[tex]F_g=\frac{6}{14}*100[/tex]

[tex]F_g=42.9\%[/tex]

Generally the frequency for fish [tex]F_f[/tex] is mathematically given b

[tex]F_f=\frac{n_f}{n}*100[/tex]

[tex]F_f=\frac{3}{14}*100[/tex]

[tex]F_f=21.4\%[/tex]

Generally the frequency for fish [tex]F_h[/tex] is mathematically given b

[tex]F_h=\frac{n_h}{n}*100[/tex]

[tex]F_h=\frac{3}{14}*100[/tex]

[tex]F_h=21.4\%[/tex]

Which is greater -9/6 or 3/-2

Answers

Answer:

Step-by-step explanation:

-9/6 im not sure so dont get mand if im wrong

It's urgent!!!
Solve 5a - 2b =7 and 5a + 2b =14 simultaneously​

Answers

Here’s my work for your question
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