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jarptica [38.1K]
3 years ago
9

What is the difference? -2/15 -(-9/15) a.-11/15 b. -7/15 c. 7/15 d. 11/15

Mathematics
1 answer:
Elodia [21]3 years ago
5 0
-2/15-(-9/15)=-2/15+9/15=9/15-2/15=7/15
the answer is C

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An athlete trains on a circular track of radius 40 m and jogs 10 laps each day, 5 days a week. How far does he jog each week? Ro
mariarad [96]
Length of a circle=2πr
r=40 m
Length of the circular track=2*π*40m=80π m.

The athelete jogs each day 10 laps
1 lap-------------------80π m
10 laps-------------   x
x=(10 laps * 80π m) / 1 lap=800π m

Calculate how far he jog eache week (5 days).
1 day------------------800π m
5 days----------------   x
x=(5 days*800π m)/1day=4000π m=4000m * 3.141592...≈12566,37 m

solution: 12566 m

5 0
3 years ago
A solid cuboid is made from centimeter cubes how many centimeter cubes were used to make the cuboid
prisoha [69]

This question is incomplete because it lacks the appropriate diagram.

Please find attached this answer the appropriate diagram.

Kindly note that: The diagram was obtained from or referenced from Planes and Elevation (F) Version 3 January 2016.

Answer:

72 centimeter cubes

Step-by-step explanation:

Looking at the attached diagram, we are given 3 views of the cuboid

a) The plan view: The is the view of the cuboid from the top or a very high position

b) Front Elevation view: This is the view of the cuboid from the front

c) Side elevation view: This is the view of the cuboid from the side.

In the referenced and attached diagram,

The plan view shows us the top of the cuboid with a length of 4 and breadth of 6

The front elevation view shows us the front of the cuboid with a length of 3 and breadth of 4

The side elevation view shows us the side of the cuboid with a length is 3 and breadth of 6

We are told to find the number of centimeter cubes were used to make the cuboid. This means we are to find the volume of the cuboid.

Volume of a cuboid = Length × Width × Height

Combining the 3 views together,

The Length of the cuboid = 4

Width of the cuboid = 6

Height of the cuboid = 3

Volume of the cuboid = 4 × 6 × 3

= 72

Therefore, the number of centimeter cubes that were used to make the cuboid is 72.

5 0
3 years ago
Solve the following system of equations by substitution. Show all steps.
Alinara [238K]

Answer:

Given system of equations:

\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}

To solve by substitution, equate the equations and solve for x:

\begin{aligned}f(x) & = g(x)\\\implies -x^2+2x+3 & = -2x+3\\-x^2+4x & = 0\\x^2-4x & = 0\\x(x-4) & = 0\\\implies x & = 0\\\implies x-4 & = 0 \implies x=4\end{aligned}

Therefore, the x-values of the solution are x = 0 and x = 4.

To find the y-values of the solution, substitute the found values of x into the functions:

f(0)=-(0)^2+2(0)+3=3

g(0)=-2(0)+3=3

f(4)=-(4)^2+2(4)+3=-5

g(4)=-2(4)+3=-5

Therefore, the solutions to the given system of equations are:

(0, 3) and (4, -5)

4 0
2 years ago
Brandon and Denny are playing a video game. Brandon has 3 times as many points as Denny l. Brandon has 12 points. How many point
Ann [662]

Answer:

it is 4

Step-by-step explanation:

12 ÷ 3 = 4

3 x 4 = 12

4 x 3 = 12

5 0
2 years ago
This figure is made up of a rectangle and parallelogram.
patriot [66]

calculate length of the sides of the rectangle and multiply then do the same with the parallelogram

 Total area is 51 square units

7 0
3 years ago
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