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3 years ago

Marie can deliver 30 newspaper in one hour and generally works between five and seven hours each week what is the range

Mathematics

1 answer:

masya89 [10]3 years ago

6 0

Answer:

Marie can deliver from 150 - 210 newspaper per week

Step-by-step explanation:

You can get the minimum amount of newspapers per week, by multiplying the amount of newspapers per hour, by the minimum amount of hours per week and the max hours per week. Thus 150 to 210 per week.

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Gregory has agreed to donate $100 to Spring Valley High School for its library. In addition, he will donate $15 for every book a

sladkih [1.3K]

Answer:

$a_n=15n+100$ where $n =1, 2, 3, .....$

Step-by-step explanation:

Given that:

Amount of money to be donated by Gregory = $100

Amount of money to be donated for every book that a student will read = $15

The series becomes:

100, 115, 130, 145, 160, .....

To find:

The explicit formula to represent this problem situation.

Solution:

First of all, let us have a look at the difference of each term from its previous term.

Second term - First term = 115 - 100 = 15

Third term - Second term = 130 - 115 = 15

Fourth term - Third term = 145 - 130 = 15

The difference is same, therefore the given series is an Arithmetic Progression (AP).

We have to find the $n^{th}$ term of the given AP.

Formula for $n^{th}$ term:

$a_n=a+(n-1)d$

$a$ is the first term and

$d$ is the common difference.

Here, $a$ = 115 (because $100 is the fixed amount so first term is taken as 115 when one book is read)

$d = 15$

Putting the values, we get:

$a_n=115+(n-1)15\\\Rightarrow a_n=115+15n-15\\\Rightarrow a_n=15n+100$

Therefore, formula to represent the situation is:

$a_n=15n+100$ where $n =1, 2, 3, .....$

5 0

3 years ago

From a piece of paper, Sam cuts a rectangle with a length that is 2 inches (in.) longer than the width. He tapes a straw to the

Ksivusya [100]

Answer:

c)A cylinder with a volume of π(w³ +2w² )in³

where w represents the width of the cylinder.

Step-by-step explanation:

A cylinder with a volume of π(w³ +2w² )in³

where w represents the width of the cylinder.

The volume of a cylinder is given by V=Bh or V=πr²h

where B is the area of the base and h is the height of the cylinder.

V=πr²h-------equation1

V= π(w³ +2w² )--------- equation2

Comparing equation 1 and equation 2

πr²h=π(w³ +2w² )

r²h=(w³ +2w² )

r²h= w²(w +2 )

Taking w² common leaves w+2 which gives the height or length of the cylinder.

Therefore radius = width and height = length which gives the volume of the cylinder.

8 0

3 years ago

The product of x and 6 is less than or equal to -17.

ale4655 [162]

The answer is:
6x < -17
But the less than sign has a line underneath.

6 0

4 years ago

I need help what the value of x and adjacent or vertical?<br>

GarryVolchara [31]

Answer:

74 degrees

The angles are adjacent, since they have a common side (adjacent basically means right next to each other).

Step-by-step explanation:

180 - 106 = 74

Both angles are supplementary, since they add up to 180 (make a straight line together).

6 0

3 years ago

Tell whether x and y show direct variation 5y=x

Over [174]

I believe x and y in the equation show a direct variation
Direct variation is the relationship between variables such that increase in one variable causes an increase in the other variable and vicevarsa.
In this case, y is directly proportional to x where 5 is a constant

7 0

3 years ago