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Aleksandr [31]
3 years ago
10

P=-30h+74 The variable h represents the number of hours he has spent reading, the variable p represents the number of pages left

to read. How many hours of reading will Ethan have to do in order to have 14 pages left to read?
Mathematics
1 answer:
olchik [2.2K]3 years ago
6 0

Answer: Ethan will have to spend 2 hours reading if 14 pages are left to read

Step-by-step explanation:

Given the equation

P=-30h+74

where p =number of pages left to read and

h= the number of hours he has spent reading

Therefore , if Ethan has 14 pages left to read, then the number of hours Ethan will have to read will be

P=-30h+74

14= -30h + 74

30h= 74-14

30h= 60

h = 60/30

h =2 hours

Ethan will have to spend 2 hours reading if 14 pages are left to read

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What is the area of this triangle?
alex41 [277]

Answer:

8 units^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

A = 1/2 (7-3) * (4-0)

   = 1/2 4*4

   = 8

6 0
4 years ago
There are 30 students going on a field trip. Each car can take 4 students. Which inequality would be used to find the least numb
Vilka [71]

Answer:8 cars

Step-by-step explanation:

to find the least amount of cars dived 30/4 which equilds 7.5

Since there are 2 remaining students, an additional car will be needed bringing the total to 8 cars.

6 0
3 years ago
The 24 students in ms. lees class each collected an average of 18 cans for recycling. then 21 students in mr. galvez's class eac
belka [17]

This can be solve by using the average cans of each student collected and muliply it by the total students. Since for ms. Lee has 24 students and each student collected 18 cans on average, so the total can her class collected on average is 432 cans. For mr galveshas 21 students and collected 25 can per syudents on average, so the total is 525 cans. So 525 – 432 = 93 more cans the class of mr galvez collected

7 0
3 years ago
Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15. N an 1 4 2 −12 3 36 t
Rzqust [24]

By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is                    \sum_{n=4}^{15} 5(-2)^{n-1}$$  

<h3>What is sequence ?</h3>

Sequence is collection of  numbers with some pattern .

Given sequence

a_{1}=5\\\\a_{2}=-10\\\\\\a_{3}=20

We can see that

\frac{a_1}{a_2}=\frac{-10}{5}=-2\\

and

\frac{a_2}{a_3}=\frac{20}{-10}=-2\\

Hence we can say that given sequence is Geometric progression whose first term is 5 and common ratio is -2

Now n^{th}  term of this Geometric progression can be written as

T_{n}= 5\times(-2)^{n-1}

So summation of 15 terms can be written as

\sum_{n=4}^{15} T_{n}\\\\$\\$\sum_{n=4}^{15} 5(-2)^{n-1}$$

By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is                    \sum_{n=4}^{15} 5(-2)^{n-1}$$  

To learn more about Geometric progression visit : brainly.com/question/14320920

8 0
3 years ago
What is the quotient StartFraction 15 p Superscript negative 4 Baseline q Superscript negative 6 Baseline Over negative 20 p Sup
Kitty [74]

Answer:

-\frac{3p^8}{4q^3}

Step-by-step explanation:

\frac{15p^{-4}q^{-6}}{-20p^{-12}q^{-3}}  can be broken down into three fractions, coefficients, powers of p, powers of q.

-\frac{15}{20}\cdot\frac{p^{-4}}{p^{-12}}\cdot\frac{q^{-6}}{q^{-3}}

Simplify the first fraction, then simplify the others by subtracting numerator exponents minus denominator exponents.

-\frac{3}{4} p^{-4-(-12)} q^{-6-(-3)} =-\frac{3}{4} p^8 q^{-3} = \alpha -\frac{3p^8}{4q^3}

8 0
3 years ago
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