In one basketball game, Zaid made 7 two-point and three-point baskets to score 17 points. Let x represent the number of two-point baskets, and y represent the number of three-point baskets. This situation can be represented by the system x+y=7 and 2x+3y=17 . How many of each type of basket did Zaid make?

Answers

Answer 1

Answer:

y =three point score =  3

x = two point score = 4

Step-by-step explanation:

this question can be solved using simultaneous equation

x + y = 7  eqn 1

2x + 3y = 17  eqn 2

Multiply eqn 1 by 2 to derive eqn 3

2x + 2y = 14 eqn 3

Subtract eqn 3 from 2 :

y = 3

Substitute for y in eqn 1

x + 3 = 7

x = 4


Related Questions

I need help on this. Can someone explain it?

Answers

Answer:

noooooooooooooooooooooo

I’ve attached my work....
Hope it helps!
Have a nice day or night :O
Any concerns just comment and I can respond

A farmhouse shelters 16 animals, some are pigs, and some are ducks. Altogether there are 42 legs. How many pigs are there?

Answers

Answer:

5 pigs

Step-by-step explanation:

A farmhouse shelters 16 animals, some are pigs, and some are ducks. Altogether there are 42 legs. How many pigs are there?

Let us represent:

Number of pigs = x

Number of ducks = y

Our system of equations is given as:

A farmhouse shelters 16 animals, some are pigs, and some are ducks.

x + y = 16...... Equation 1

x = 16 - y

Altogether there are 42 legs.

Ducks have 2 legs(feet) , pigs have 4 legs,

4x + 2y = 42..... Equation 2

We substitute

16 - y for x in Equation 2

Hence:

4(16 - y) + 2y = 42

64 - 4y + 2y = 42

Collect like terms

- 4y + 2y = 42 - 64

-2y =- 22

y = -22/-2

y = 11 ducks

Solving for x.

x = 16 - y

x = 16 - 11

x = 5 pigs

Therefore, we have 5 pigs

25% of what number is 20

Answers

Answer:

100

Step-by-step explanation:

18. What is the equivalent fraction of 8/80?​

Answers

Answer:

1/10

Step-by-step explanation:

8/80

divide numerator and denominator by 8

8÷8=1

80÷8=10

8/80 0.1 10%
hope this helpssssss

help please i’ll give points !!

Answers

Answer: C :)

Step-by-step explanation:

It should be c but i am only in the 7th grade so it might not be right but i am pretty sure it is right.

Triangle DEF is on a coordinate plane with its
vertices located at D( – 3,5), E( – 3, - 2), and
F(3,0). What is the area of ADEF in square
units?​

Answers

Answer:

[tex]21\ \text{square units}[/tex]

Step-by-step explanation:

The points are [tex]D(-3,5), E(-3,-2)[/tex] and [tex]F(3,0)[/tex].

Area of a triangle is given by

[tex]A=\dfrac{D_x(E_y-F_y)+E_x(F_y-D_y)+F_x(D_y-E_y)}{2}[/tex]

[tex]\Rightarrow A=\dfrac{-3(-2-0)+-3(0-5)+3(5-(-2))}{2}[/tex]

[tex]\Rightarrow A=21\ \text{square units}[/tex]

The area of the given triangle is [tex]21\ \text{square units}[/tex].

What would be the best estimate for the height of a front door?

Answers

Answer: The height of a standard door is about 2 m. The length of an adult pace is about 1 m. The length of a size 8 shoe is about 30 cm. Most adults are between 1.5 m and 1.8 m in height.

Step-by-step explanation:

Elianna studied data collected on the school hockey team for one season. She noticed that a player on the team had 13 successful shots out of a total of 50 attempted shots. To find the percentage of the total shots attempted by this player that were successful, Elian set up the equivalent ratios below.

Answers

Answer: See explanation

Step-by-step explanation:

Your question isn't complete but based on the information given in the question, since she noticed that a player on the team had 13 successful shots out of 50 attempted shots.

The percentage of the total shots attempted by this player that were successful will be:

= 13/50 × 100

= 26%

What is the equation of a circle whose center is at the origin and whose radius is 16?

x 2 + y 2 = 4
x 2 + y 2 = 16
x 2 + y 2 = 256

Answers

X2 + Y2 = 256

Best luck with your studying

Answer:

x^2 + y^2 = 256

good luck and have an awesome Day/Night

plzzz help me with this

Answers

Answer:

30 for the next one

Step-by-step explanation:

muiltply hour by bracelets per hour

Answer:

SHOWN IN PICTURE.

Step-by-step explanation:

Time in hours × (bracelet per hour)

Explain how to write x^2+5x+6 as the product of two linear factors. Use complete English and math sentences.

Answers

Answer:

(x + 3)(x + 2)

Step-by-step explanation:

Given

x² + 5x + 6

Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 5)

The factors are + 3 and + 2 , since

3 × 2 = + 6 and + 3 + 2 = + 5 , then

x² + 5x + 6 = (x + 3)(x + 2) ← in factored form

What is 2x+7y=28 in slope intercept form

Answers

Answer:

y = -2/7x + 4

Can somone please help me and explain very much appreciated and this is 7th grade math btw

Answers

Answer:

4 8.95h + 10 < 115

Step-by-step explanation:

Answer: 4) 8.95h + 10 < 115

Step-by-step explanation:

We know the inequality will be equal to less than 115 since it states that the order was less than $115.

The equation would look like: some amount of shin guards times 8.95 each + $10 shipping = less than $115

8.95h + 10 < 115

(h in the given equation is the amount of shin guards)

Write the inequality represented by each graph..
Graph one : (0,-1) (6,3)

Graph two : (0,3) (4,-5)


Help

Answers

Answer:

Step-by-step explanation:

HERE ARE THE ANSWERS

Someone help please

Answers

Answer:

A=(b^2)h/2

Step-by-step explanation:

I need this answer ASAP! Please help!
A ladder is leaning against a building. The ladder forms an angle of 77° with the ground. The distance from the base of the ladder to the base of the building is 8 feet.

Answers

Answer:

Step-by-step explanation:

sin77=h/8

h=8sin77

h=8(0.9744)

h=7.7952ft

HELP PLEASE!! not sure about this one!!

Answers

Answer:

y=4x

Step-by-step explanation:

Solve each equation.

d(d+3)-d(d-4)=9d-16

Answers

Answer:

2d+3d-2d+4d= 9d-16

2d is cancelled

3d+4d=9d-16

7d=9d-16

16=9d-7d

16=2

16/2

d=8

Camile shaded 18/30 of a model write the decimal that represents the unshaded portion of the model

Answers

Answer:

.4

Step-by-step explanation:

Camile shaded 18/30 of a model.

Thus the unshaded portion of the model is:

30 - 18 = 12

12/30

12/30 = 0.4

Find the dimensions of the square or circle.

Answers

Complete question is;

Find the dimensions or, the square or circle. Area = 64π in²

Answer:

r = 8 inches

Step-by-step explanation:

We know that formula for area of a circle is; A = πr²

Where r is radius.

We are given Area as 64π in²

Thus;

πr² = 64π

π will cancel out to give;

r² = 64

r = √64

r = 8 inches

For the parabola graphed below, identify its vertex, axis of symmetry, and state if it opens upwards or downwards.
help please!

Answers

Answer:

Step-by-step explanation:

Find the vertex, in this case which is a maximum (-3,3), the axis of symmetry is a line that cuts it down the middle, vertically so the equation is x = -3, notice that is the same same x value for the vertex

Parabola opens downward

Increases when y < 3 and decreases when y > 3

Graph the inequality on the axes 2x-y>5

Answers

Answer: x>1/2y+5/2 look at the picture it going to be the graph

Step-by-step explanation: Hope this help :)

Can someone help me please????

Answers

i think it would be the last one sorry if i’m wrong

what is 3 (2х-5) 2х+3=1

Answers

3(2x-5)+2x+3=1

6x-15+2x+3=1

8x-12=1

    +12 +12

8x=13

/8   /8

x=1.625

---

sorry if this doesn't help

what is the mixed number: 1 and 3/4 as a percent​

Answers

Answer:

175%

Step-by-step explanation:

1 would be 100%

3/4 would be 75%

100%+75%=175%

The diameter of a circle is 4 units.
What is the radius of the circle?
units

Answers

Answer:

radius = D/2

Step-by-step explanation:

radius= 4unit/2

=2unit

Which of the following statement(s) describes the rate of change of f over the interval 1.5 SXS 3? Select all that apply.

A. The rate of change is 1/2

B. The rate of change is 2

C. The rate of change is constant

D. The rate of change is increasing

Answers

The answer is going to be C

3a²b3(-4b3 + 2b2a - 7) =

Answers

Answer:

the answer is =6a^3b^5−12a^2b^6−21a^2b^3

Step-by-step explanation:

hoped I helped:)

Which expression is equivalent to 28a - 7b?
A. 4(7a - 7b)
B. 7(28a - b)
C. 7(4a - b)
D. 7(a - 7b)

Answers

Maybe c because 7x4 28

Can someone help me PLZ! I keep posting the same question and no ones helping me :((((((((((((

Steve started with $250 and spent $20 per week. Chelsea started with nothing but saved $30 per week. Use x for time and y for savings.

Write an equation to represent Steve's situation.

Answers

Answer:

[tex]250 - 20x=y[/tex]

Step-by-step explanation:

As per the given problem, Steve starts with $250, and spent $20 a week, the problem mentions nothing about Steve's savings, therefore, one can assume that they didn't save anything. As the problem requests, parameter ([tex]x[/tex]) will be used for the time, and ([tex]y[/tex]) for the savings.

Steve's saving would be equal to his initial value, minus his expense, in essence;

[tex]250 - 20x=y[/tex]

The initial value, minus the amount spend per week multiplied by the week number will equal the savings left.

Answer:

y=250-(20x)

Step-by-step explanation:

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