Gladys scored 42 points in a basketball game. She only took 2-point shots and 3-point shots. She made a total of 18 shots. Write a system of equations to find the number of 2-point shots and 3-point shots Gladys made. Let LaTeX: xx represent the number of 2-point shots and LaTeX: yy represent the number of 3-point shots that Gladys made.

Answers

Answer 1

Answer:

[tex]x+y=18 \\2x+3y=42[/tex]

Number of 2-point shots taken = 12

Number of 3-point shots taken = 6

Step-by-step explanation:

Total number of points scored by Gladys = 42

Only 2-point and 3-point shots are taken by Gladys.

Let number of 2-point shots taken = [tex]x[/tex]

Let number of 3-point shots taken = [tex]y[/tex]

Total number of shots taken = 18

Therefore, first equation can be written as:

[tex]x+y=18[/tex]

Total points scored = 42

Therefore, second equation can be written as:

[tex]2x+3y=42[/tex]

System of equations is:

[tex]x+y=18 .... (1)\\2x+3y=42 .... (2)[/tex]

Using elimination method to solve the system of equations.

Multiplying equation by 2 then subtracting it from equation (2):

[tex]3y - 2y = 42 - 36\\\Rightarrow y = 6[/tex]

By equation (1):

[tex]x+6=18\\\Rightarrow x = 12[/tex]

Therefore, Number of 2-point shots taken = 12

Number of 3-point shots taken = 6


Related Questions

Area of a circle of the diameter is 9.5

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Answer:

A = 70.88 units squared assuming that you're using the value pi

Step-by-step explanation:

Answer:

70.91 ansStep-by-step explanation:=22/7×(4.75)^2=22/7× 22.5

=496.37 /7=70.91 answer

please follow me and thanks for my answer

C. Aunt Beth bought 1 3/8 yards of blue ribbon
and 1/2 yards of green ribbon. How much
more blue ribbon was bought?

Answers

7/8 yards more blue ribbon was bought

How much more blue ribbon was bought?

The given parameters are

Blue ribbon = 1 3/8 yards

Green ribbon = 1/2 yards

The amount of excess ribbon that is blue is

Excess = Blue ribbon - Green ribbon

So, we have

Excess = 1 3/8 yards - 1/2 yards

Evaluate the difference

Excess = 7/8 yards

Hence, 7/8 yards more blue ribbon was bought

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ASAP PLS HELP ME WITH THIS ANYONE PLS

Answers

Answer:

The area is 1,725 ft²


Twice a number added to another number is 15. The sum of the two numbers is 11. Find the numbers. Write the numbers from least to greatest

Answers

Answer:

4 and 7

Step-by-step explanation:

There are probably several ways to do this but this is how I did it:

First, I listed all the number combinations, that added together equaled 11.

This is what it looked like:

1, 10

2, 9

3, 8

4, 7

5, 6

6, 5

7, 4

I stopped here since the next step would be to double the first number and 8*2 would already be more than 15.

Then, I doubled the first number and added the second number to it, when I saw that didn't equal 15, I eliminated that possibility and moved on to the next set of numbers. When I reached 4, 7 I saw that 4*2 equaled 8 and 8 plus 7 equals 15 so I had the answer.

There are probably much more efficient ways to do this but this is how I did it.

Hope it helped!

The first number is 4 and second number is 7.

Let us consider that first number is x and second number is y.

            [tex]2x+y=15\\\\x+y=11[/tex]

Substitute [tex]y=11 - x[/tex]in equation [tex]2x+y=15[/tex]

        [tex]2x+11-x=15\\\\x=15-11=4[/tex]

So,   [tex]y=11-x=11-4=7[/tex]

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PLEASE HELP!! ILL HIVE BRAINLIEST IF ITS RIGHT!

Answers

Answer:

This would be Helium(He)

Step-by-step explanation:

Its Helium because the bohr model in the picture has 2 electrons.

On the periodic table, it says that Helium has 2 protons which are also equal to electrons

Answer:

The answer is (He) also known as Helium!

Please answer the two question in the photo [ Brainliest + points ]

Answers

Answer:

3. obtuse

4.acute

Step-by-step explanation:

There are 56 students in a school play. The ratio of boys to girls is 3:5. How many girls are in the school play?

Answers

Answer:

35 girls

Step-by-step explanation:

First add the ratios together ( 3+5) this will give you 8. Then divide the total number of students by 8, this will get you 7. Now multiply 7 to 3 and multiply 7 to 5. As the ratio of boy to girl is 3 to 5, to find how many girls are in the school play we multiply 7 to 5. This makes 35 girls.

If you want to check, 7 x 3 =21 boys and 7 x 5=35 girls. 35 +21= 56 (the total number of students).

7. -50 + 5 p 13
(p= -26)
will give 5 stars

Answers

-17.6

Because

50 + 5/13 x -26

50+2.6 x -26

50 + -67.6

-17.6

Pls help ill give brainliest.

Do all 3 to get brainliest pls

Answers

Problem 1

A = length times width

A = w(w + 0.6)

A = w^2 + 0.6w

Answer choice D.

Problem 2

16/9 = 42/x

9(42) = 16x

378 = 16x

378/16 = x

23.625 = x

Answer choice C.

Problem 3

f(-5) = 4(-5) + 3

f(-5) = -20 + 3

f(-5) = -17

Answer choice B.

At what value of x do the graphs of the equations below intersect?
-2x +y = -6
1x + 2y = -2
They intersect at an x value of

Answers

Answer:

They intersect at an x value of 2

Step-by-step explanation:

Rewrite the equations into slope y-int form:

-2x + y = -6

y = 2x - 6

x + 2y = -2

2y = -2 - x

y = -1/2x - 1

Next, set the two equations as equal and solve for x:

2x - 6 = -1/2x - 1

2x + 1/2x = -1 + 6

4x + x = -2 + 12

5x = 10

x = 2

Three partners in a business receive profits in the ratio 2 : 4 : 8. A fourth partner automatically receives $50,000 profit. The company during the year has a profit of $400,000. What are the amounts for the other three partners?

Please answer ASAP, whoever answers correctly will get BRAINLIEST!!!

Answers

The amounts for the other three partners are $25000, $100000, and $200000.

How to compute the value?

The amount that the other people will share will be:

= $400000 - $50000

= $350000

Therefore this will be divided as follows:

A = 2/(2+4+8) × $350000

= 2/14 × $350000

= $25000

B = 4/14 × $350000

= $100000

C = 8/14 × $350000

= $200000

Therefore, the amounts for the other three partners are $25000, $100000, and $200000.

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Answers

Answer:

21 1/2

Step-by-step explanation:

Which is the graph of the equation
(x-1)^2/3^2+y^2/4^2=1
?

A.
A

B.
B

C.
C

D.
D

Answers

Answer:

The correct answer is C

Step-by-step explanation:

Tbh I just guessed but I got a 100% on the test, so I hoped that helped

Answer:

yeah its c

Step-by-step explanation:

An area model has 4 shaded parts and 4 unshaded parts. The shaded parts are labeled one-half.
Emma and her 3 friends were thirsty, so she shared One-half gallon of lemonade equally among 4 people. How much lemonade did each person get?

One-half divided by 4 =
.

Answers

Answer:

1/8 half-gallon or 1/16 full gallon

Step-by-step explanation:

Emma and her 3 friends= Four people

Four people shared 1/2 gallon= 1/2 divided by 4

1/2 divided by 4= 1/8

Each person got 1/8 of the half gallon.

This would mean that out of a FULL gallon, they would get 1/16

what is the slope and y-intercept

Answers

Answer:

slope = 2

y int = -4

Step-by-step explanation:

4x - 2y > 8

8 <  4x - 2y

/-2

-4 < -2x + y

2x - 4 < y

slope = 2

y int = -4

(I'm not sure if it is right sorry! hope this helps!)

The sum of two numbers is 3. When you take twice the smaller number and add it to 6 times the larger number you get 16. What are the two numbers?

Answers

2(x + y = 3)
2x + 6y = 16
2x + 2y = 6
Subtract
4y = 10, y = 10/4
10/4 + x = 3, x = 1/2
The two numbers are 10/4 and 1/2

When asked to find the value of x for
which f(x)=17, Danny answered 39. What
mistake did Danny make? What is the
correct answer?

Answers

Answer and Step-by-step explanation:

We are not given the function in question, but in order to explain, will form a function. Suppose f(x) = 3x + 2.

If f(x) = 17, then

3x + 2 = 17, to find the value of x, we have solve for x in the equation.

3x = 17 – 2

3x = 15

x = 5

This is the method that can be used to solve problems of this nature.

You earn $9 per hour. Which equation shows the relationship between the time worked in hours, t, and the money earned in dollars, m?
a) t = 9m b) m = 19t c) m = 9t d) m = -9t

Answers

Answer:C

Step-by-step explanation:

c amount made in hour (9) times the number of hours workd (t) equals m
9t=m   for example you work 5 hours 9(5)=45 so the answer is c m=9t

the answer is c) m=9t

Noah had $5.25 and Lin had $8.95. How much did they have altogether? Group of answer choices $ 3.70 $ 46.99 $ 14.20 $ 14.10

Answers

Answer:

C. $14.20

Step-by-step explanation:

I got this answer because $8.95 plus $5.25 equals $14.20.

Please mark brainliest

GUYS PLEASE I REALLY NEED HELP IM NOT ABLE TO SPEND TIME WITH MY FAMILY WHILE THEIR HERE PLEASE:(:(:(

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I’m sorry for you bro hope things get better

What is the answer for a

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8.5
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1.00 + 2.50 + 2.50 + 2.50 = 8.5
The answer is £8.50

Roda ran 89 feet down the sideline of a football field. How many yards did Roda run?
A. 29.6 yard
B. 267 yards
C. 0.3 yards
D. 23 yards

Answers

Answer:

looks like it's 29.6 yards

A) 29.9 yards

EXPLANATION:
There are 3 feet in a yard, therefore you would take the number 89 and divide that by the number of feet there are in yards. You should get 29.6 yards

What is the value of x in the solution to this system of equations?

3x−6y=45

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Answers

3x - 6(-2x+5) = 45 (substitutes y)
3x + 12x - 30 = 45
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15x = 15
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Wich is the best approximation of the square root of 51

Answers

Answer:

the square root of 51 is 7.14142842854 so the most logical answer would be D

Hope this helps!

20 POINTS!!

two lines are cut by a transversal such that a pair of alternate interior angles are right angles. are the two lines parallel? explain

​PLEASE ANSWER ​

Answers

When two parallel lines are cut by a transversal, the alternate interior angles are always equal. This is a property that is only true for parallel lines.

When non-parallel lines are cut by another line, the alternate interior angles are not equal.

Step-by-step explanation:

You are given a pair of alternate interior angles which are both right angles and are formed by a transversal line cutting two lines. That means the pair of angles are congruent.

Use the Alternate Interior Angles Theorem and by that those two lines must be parallel.

determine the intercepts of the line2x+5y=-6

Answers

Answer:

y=−2/5x−6/5

Step-by-step explanation:

swimming pool is being filled with a hose. The hose fills the pool at a constant rate. The pool's water level rises 4 inches in hours. What rate per hour of the water level change?

Answers

The required rate of the level of change of water in the swimming pool is 1 / 3 level per hour.

Given that,
The swimming pool is being filled with a hose.
The pool's water level rises 4 inches in hours.
To determine the rate per hour of the water level change.


Here,
Let 1 level of pool = 1 feet = 12 inches
The pool's water level rises 4 inches in hours. So, ti will rises 12 inches in 3 hours, which implies level change after 3 hours
Now the rate of level change of water = 1 / 3 level per hour

Thus, the required rate of the level of change of water in the swimming pool is 1 / 3 level per hour.

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Which equation in slope-intercept form represents a line that passes through the point (2,3) and is
perpendicular to the line y - 9 = (0 + 7)?

Answers

Answer:

The answer is below

Step-by-step explanation:

Which equation in slope-intercept form represents a line that passes through the point (2,3) and is perpendicular to the line y−9=23(x+7)

Solution:

The equation of a line in slope intercept form is given as y = mx + b, where m is the slope and b is the y intercept.

Given a line y−9=23(x+7)

y - 9 = 23x + 161

y = 23x  + 170. The slope of this line comparing with y = mx + b gives m = 23

Two lines are perpendicular if the product of their slope gives -1.

Let [tex]m_1[/tex] be the slope of the perpendicular line, hence:

[tex]m_1(23)=-1\\\\m_1=\frac{-1}{23}[/tex]

Since the perpendicular line passes through (2, 3), we can get its equation using:

[tex]y-y_1=m_1(x_x_1)\\\\y-3=\frac{-1}{23}(x-2)\\\\y= \frac{-1}{23}x+\frac{2}{23}+3\\\\ y= \frac{-1}{23}x+\frac{71}{23}[/tex]

What is the unknown number that makes the equation true?
44 x 32 =
+ 120 + 80 + 8 (3 points)
1,200
1.100
800
700

Marked !

Answers

Answer: 1,200
Explanation: 44 x 32= 1,408
120+80+8=208
1,408-208=1,200.

The regular price of an electric scooter is $290. It is on
sale for 20% off. Sales tax is 7%. What is the cost of the
electric scooter after the discount and sales tax are
applied?
$232.00
$294.06
$310.30
$248.24

Answers

Answer:

The cost of the  electric scooter after the discount and

sales tax will be: $248.24

Step-by-step explanation:

The regular price of an electric scooter = $290

Discount = 20%

The discount price =  20% × 290

                                = 20/100 × 290

                                = $58

The price after the discount = $290 - $58 = $232

Sales tax = 7%

Sales tax amount = 7% × 232

                         = 7/100 × 232

                         = $16.24

The cost after the discount and sales tax = $232 + $16.24

                                                                      = $248.24

Thus, the cost of the  electric scooter after the discount and

sales tax will be: $248.24

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