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lions [1.4K]
3 years ago
14

A teacher has a box of pens and pencils. There are 8 more pencils than pens. After the students take 1 pen and 5 pencils from th

e box, there are 26 pens and pencils left in a box. How many pens are in the box now? How many pencils?
Mathematics
2 answers:
Yuliya22 [10]3 years ago
8 0
There are 9 pens and 17 pencils
crimeas [40]3 years ago
5 0
Let no. of pens be x.

Pens : x
Pencils: x+8

Total: 2x+8

Student takes 1 pen and 5 pencils.

Remainder: 2x+8 - 5 -1 = 2x+2
2x+2 = 26
2x= 24
x = 12 (original no. of pens)
x+ 8 = 20 (original no of pencils)

There are 12 pens at first and 20 pencils.
After 1 pen is taken, 11 pens are left.
After 5 pencils are taken, 20-5=15 pencils are left.
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a weather forecast predicts a 30% chance of rain for each of the next three days. describe a way to simulate the chance that it
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Answer:

Draw a pie chart looking wheel with 30% and 70% and spin the wheel three times and see what it lands on each time

Step-by-step explanation:

5 0
3 years ago
Evan is thinking of a number that contains the digit 2. The digit 2 in Evan's number has 10 times the value of the digit 2 in th
Len [333]

Answer:

200,000

Step-by-step explanation:

The number Evan could be thinking about is 200,000. I got this number because the value of the digit 2 in the number 328,907 is 20,000. Also, the number Evan is thinking about is 10 times the value of 20,000. So, I did 20,000 times 10 and got 200,000.

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2 years ago
2l+2w 10 feet by 3.5 feet
Nana76 [90]

Answer:

Step-by-step explanation:

Perimeter of rectangle =2l+2w

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Perimeter = 2(10) + 2(3.5)

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5 0
2 years ago
A rock is thrown upward from a bridge that is 57 feet above a road. The rock reaches its maximum height above the road 0.76 seco
bekas [8.4K]

answer:

f(t) = -9.9788169(t -0.76)^2 +57

Step-by-step explanation:

On this question we see that we are given two points on a certain graph that has a maximum point at 57 feet and in 0.76 seconds after it is thrown, we know can say this point is a turning point of a graph of the rock that is thrown as we are told that the function f determines the rocks height above the road (in feet) in terms of the  number of seconds t since the rock was thrown therefore this turning point coordinate can be written as (0.76, 57) as we are told the height represents y and x is represented by time in seconds. We are further given another point on the graph where the height is now 0 feet on the road then at this point its after 3.15 seconds in which the rock is thrown in therefore this coordinate is (3.15,0).

now we know if a rock is thrown it moves in a shape of a parabola which we see this equation is quadratic. Now we will use the turning point equation for a quadratic equation to get a equation for the height which the format is f(x)= a(x-p)^2 +q  , where (p,q) is the turning point. now we substitute the turning point

f(t) = a(t-0.76)^2 + 57, now we will substitute the other point on the graph or on the function that we found which is (3.15, 0) then solve for a.

0 = a(3.15 - 0.76)^2 + 57

-57 =a(2.39)^2  

-57 = a(5.7121)

-57/5.7121 =a

-9.9788169 = a      then we substitute a to get the quadratic equation therefore f is

f(t) = -9.9788169(t-0.76)^2 +57

4 0
2 years ago
If a barber is capable of cutting the hair of 35 people per day and he works 7 days per week, how many haircuts could he give du
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June=1,225
April=1,225
May=1,225

All June April and May is 3,675 haircuts
6 0
3 years ago
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