1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
makkiz [27]
2 years ago
9

At a basketball​ game, a team made 54 successful shots. They were a combination of​ 1- and​ 2-point shots. The team scored 93 po

ints in all. Write and solve a system of equations to find the number of each type of shot.
Mathematics
1 answer:
Zepler [3.9K]2 years ago
8 0

Answer:

iwillanswer

Genius

4.3K answers

14.6M people helped

17 one point shots and 39 two point shots were made

Solution:

Given that,

At a basketball​ game, a team made 56 successful shots

They were a combination of​ 1- and​ 2-point shots

Let "x" be the number of 1 point shots

Then, 56 - x is the number of two point shots

The team scored 95 points in all

Therefore,

1(number of 1 point shots) + 2(number of two point shots) = 95

x + 2(56 - x) = 95

x + 112 - 2x = 95

x = 112 - 95

x = 17

Then, number of two point shots = 56 - x = 56 - 17 = 39

Thus 17 one point shots and 39 two point shots were made

You might be interested in
Maurice made a model of the steel tabletop his model measures 7 inches by 13 inches is the model simular to the original
Levart [38]
The first example has students building upon the previous lesson by applying the scale factor to find missing dimensions. This leads into a discussion of whether this method is the most efficient and whether they could find another approach that would be simpler, as demonstrated in Example 2. Guide students to record responses and additional work in their student materials.
§ How can we use the scale factor to write an equation relating the scale drawing lengths to the actual lengths?
!
ú Thescalefactoristheconstantofproportionality,ortheintheequation=or=!oreven=
MP.2 ! whereistheactuallength,isthescaledrawinglength,andisthevalueoftheratioofthe drawing length to the corresponding actual length.
§ How can we use the scale factor to determine the actual measurements?
ú Divideeachdrawinglength,,bythescalefactor,,tofindtheactualmeasurement,x.Thisis
! illustrated by the equation = !.
§ How can we reconsider finding an actual length without dividing?
ú We can let the scale drawing be the first image and the actual picture be the second image. We can calculate the scale factor that relates the given scale drawing length, , to the actual length,. If the actual picture is an enlargement from the scale drawing, then the scale factor is greater than one or
> 1. If the actual picture is a reduction from the scale drawing, then the scale factor is less than one or < 1.
Scaffolding:
A reduction has a scale factor less than 1, and an enlargement has a scale factor greater than 1.
Lesson 18: Computing Actual Lengths from a Scale Drawing.
8 0
3 years ago
Jesse's mother needs 24 feet of fabric to make curtains for all of her windows. The fabric is sold by the yard. How many yards o
elixir [45]

Answer:

B: 8 yards

Step-by-step explanation:

  3: feet in one yard

3/24=8

4 0
2 years ago
Sort each characteristic into the category where it fits best.
4vir4ik [10]

Answer: Buying: fairly constant payment, will build equity, require maintenance cost.

Renting: not build equit, cost less, increasing payments

Step-by-step explanation:

7 0
3 years ago
A soundproofing tile is made of 8 identical solid right pyramids with square bases. The length of the whole tile shown is x inch
mylen [45]

Answer:

Option B ⇒ Area of base of each pyramid :

(\frac{x}{4})^2 in^2

Option A ⇒ Volume of pyramid :

\frac{1}{3} x^{2} \cdot y   cm3

Step-by-step explanation:

One side of tile consists of 4 pyramids and since length of whole tile is x,

So, the base length of each pyramid = \frac{x}{4}

⇒ Area of base of each pyramid = side²

⇒ Area =

(\frac{x}{4})^2 in^2

Volume of square based pyramid :

=(Area of base )\cdot \frac{h}{3}\\=\frac{x^2}{3} cm^3

For 1. The correct Option is B

For 2. The correct option is A

7 0
3 years ago
Read 2 more answers
PLEASE HELP 25 POINTS
MrRissso [65]

The lcd would be 10x^3y^3

3 0
3 years ago
Read 2 more answers
Other questions:
  • The base of a parallelogram with the area (A) of 72 square inches and height (H) of 6 inches.
    12·1 answer
  • Two less than six times the difference of a number and five
    8·2 answers
  • PLEASE HELP EXPLAIN IT TO ME HOW TO DO THIS I AM BEGGING
    12·1 answer
  • Write the equation of the line that passes through (2, 4) and has a slope of –1 in point-slope form.
    6·1 answer
  • Find the difference. (3 • 1,000) – (2 • 100)
    7·2 answers
  • Solve 3(xx)+x-5 using the first principle
    6·2 answers
  • (Repost) The points (2, 1), (5, –2), and (–2, –3) describe the vertices of a triangle. Is the triangle a right triangle? Hint: p
    9·2 answers
  • 1. Cube: Given, s=3m
    14·2 answers
  • Help me please..............
    9·1 answer
  • What is the inequality shown?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!