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IrinaVladis [17]
3 years ago
5

In a basketball game morgan made 9 baskets each worth 2 points. Jim made the same number of points in the game but made only bas

ket worth 3 points each. How many baskets did jim make?
Mathematics
1 answer:
ycow [4]3 years ago
3 0

baskets that jim make is 27,cause 9times3 equal 27.

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Point m is the midpoint of line segment ab, b is at (20,4), m is at (18, -2) and a is at (p,q). what is p+q?
Alexandra [31]
The x-value of a midpoint is the average of the x-values of the ends.
The y-value of a midpoint is the average of the y-values of the ends.

The x-value of the end at b is 20 and it's 18 at the middle.
x has decreased by 2 in the course of 1/2 of the line.
So it will decrease another 2 during the other half of the line.
The x-value at the other end, at a, then, is 16.

The y-value of the end at b is 4 and it's -2 at the middle.
y has decreased by 6 in the course of 1/2 of the line.
So it will decrease another 6 during the other half of the line.
The y-value at the other end, at a, then, is -8.

The other end of the line, at a, is at  (16, -8) .

The sum of the coordinates at a (p+q) is  8  .


8 0
3 years ago
If function f is vertically stretched by a factor of 2 to give function g, which of the following functions represents function
Sunny_sXe [5.5K]

Answer:

A. g(x) = 6|x| +10

Step-by-step explanation:

The parent function is given as:

f(x) = 3|x| + 5

Applying transformation:

function f is vertically stretched by a factor of 2 to give function g.

To stretch a function vertically we multiply the function by the factor:

2*f(x) = 2[3|x| + 5]

g(x) = 2*3|x| + 2*5

g(x) = 5|x| + 10

7 0
3 years ago
Read 2 more answers
In quadrilateral ABDC, AB ∥ CD. Which additional piece of information is needed to determine that ABDC is a parallelogram? AB ≅
torisob [31]

Answer:

Step-by-step explanation:

For any quadrilateral to be a parallelogram

i) either both the pairs of opposite sides must be equal

ii) Both the pairs of opposite sides must be parallel

iii) Opposite pairs of angles must be equal

iv) Diagonals must bisect each other.

v) A pair of opposite sides must be parallel and equal

Here we are already given that AB || CD

So either we should be given that AD || BC

or we must be given that AB = CD

Here it is given AB = CD as an option.

So Option A) or the first option is the right answer that AB ≅CD is needed to prove ABCD is a parallelogram.

6 0
2 years ago
Michael and Landon work at a dry cleaners ironing shirts. Michael can iron 40 shirts per hour, and Landon can iron 20 shirts per
BartSMP [9]

Answer:

Michael worked 4 hours and Landon worked 10 hours.

Step-by-step explanation:

Michael can iron 40 shirts each hour, so in xx hours he can iron 40x40x shirts. Landon can iron 20 shirts each hour, so in yy hours he can iron 20y20y shirts. The total number of shirts ironed 40x+20y equals 360:

40x+20y=360

40x+20y=360

Since Michael and Landon worked a combined 14 hours, we know x+yx+y must equal 14.

x+y=14

Write System of Equations:

​

40x+20y= 360

x+y=14

Solve for y in each equation:

​

40x+20y = 360  x+y = 14 20y = -40x+360  

\frac{-20y}{20} =\frac{-40x+360}{20}

y = -2x+18

​

 

​

7 0
3 years ago
A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis. What is the volume of the figure?
Luden [163]

Given:

A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis.

To find:

The volume of the figure.

Solution:

Points A(0,0) and C(0,9) lies on the y-axis. Length of AC is 9 units.

Points A(0,0) and B(6,0) lies on the x-axis. Length of AB is 6 units.

If a triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis, then it will form a cone with radius 6 units and height 9 units.

Volume of a cone is

V=\dfrac{1}{3}\pi r^2h

where, r is radius of the base and h is vertical height of the cone.

Putting r=6 and h=9, we get

V=\dfrac{1}{3}\pi (6)^2(9)

V=\pi (36)(3)

V=108\pi

Therefore, the volume of the figure is 108\pi sq. units.

7 0
3 years ago
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