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natka813 [3]
3 years ago
13

Vera's office recycled a total of 4 kilograms of paper over 2 weeks. After 7 weeks, how many kilograms of paper will Vera's offi

ce have recycled? Solve using unit rates.
Mathematics
1 answer:
Natali [406]3 years ago
6 0
Vera's office would recycle 9 kilograms of paper over 7 weeks. <span />
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The mean of the following frequency distribution is 25.2. Find the missing frequency x.
sattari [20]

Answer:

Solution:-

Frequency Distribution     Frequency     Mid values     F*M

0 - 10                                    8                     5                40

10 - 20                                  x                    15               15x

20 - 30                                 10                   25               250

30 - 40                                 11                   35               385

40 - 50                                  9                    45               405

_____________________________________________________

                                         Σf = 38+x                      Σfm = 1080+15x

______________________________________________________

Given Mean = 25.2

Mean = Σfm/Σf

25.2 = 1080+15x/38+x

25.2 × (38+x) = 1080+15x

957.6+25.2x = 1080+15x

25.2x - 15x = 1080 - 957.6

10.2x = 122.4

x = 122.4/10.2

x = 12

Missing frequency = 12  Answer

4 0
3 years ago
Which equation would best help solve the following problem?
Vanyuwa [196]

Option B:

-4.9t^2+20t+1.2=0

General formula for the height(feet) of a projectile over time:

h(t)=-16t^2+v_0t+h_0

where h represents height (feet)

t represents time

v_0 represents initial velocity

h_0  represents initial height(feet)

General formula for the height(metres) of a projectile over time:

h(t)=-4.9t^2+v_0t+h_0

where h represents height (feet)

t represents time

v_0 represents initial velocity

h_0  represents initial height(metres)

<u>Given data in the question:</u>

h_0=1.2 metre

v_0=20 m/s

To determine the equation to find time:

Substitute h_0 and v_0 in general formula for the height(metres) of a projectile over time:

h(t)=-4.9t^2+20t+1.2

\Rightarrow -4.9t^2+20t+1.2=0

Therefore option B is the correct answer.

-4.9t^2+20t+1.2=0

5 0
3 years ago
Select all the shapes below that have a constant cross-section between a
meriva

The shapes below that have a constant cross-section between a pair of faces are cylinder, cube, sphere, hexagonal, and prism.

<h3>What is the definition of geometry?</h3>

It is concerned with the geometry, region, and density of various 2D and 3D shapes.

A cylinder is a closed solid with two parallel circular bases and a curving surface connecting them.

The shapes have a constant cross-section between a pair of faces like a cylinder.

Hence,cylinder, cube, sphere, hexagonal, and prism are the forms below that have a constant cross-section between a pair of faces.

To learn more about geometry, refer to brainly.com/question/7558603.

#SPJ1

5 0
2 years ago
Please help with # 9
Sliva [168]

Answer:Yes it will remain the same

Step-by-step explanation:

because you are adding the same amount to both sides!

6 0
3 years ago
5x+3y=3<br> slope intercept form:<br> slope of the line:<br> y-intercept of the line:
siniylev [52]

Answer:y=-5/3x+1

-5/3

1

Step-by-step explanation:you move the 5x to the right making the equation 3y=-5x + 3, then you divide everything by 3. You then find the other info by knowing y=mx+b which means m=slope and b = y intercept

4 0
3 years ago
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