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HACTEHA [7]
3 years ago
7

Item 16 there are a total of 68 students in the robotics club and the science club. the science club has 10 more students than t

he robotics club. how many students are in the science club
Mathematics
2 answers:
rodikova [14]3 years ago
8 0
Total number of students is 68 in both robotic club and science club.
let the number of students in robotics club be X
so the total number of students in both science and robotics club will be X+10+X=68
2X+10=68
2X=68-10
2X=48
X=24 students
so science club has 24+10=34 students
vladimir1956 [14]3 years ago
4 0
There are 39 students in the science club and 29 in the robotics club.
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PLZ SHOW ALL WORK
lara31 [8.8K]

Part I
We have the size of the sheet of cardboard and we'll use the variable "x" to represent the length of the cuts. For any given cut, the available distance is reduced by twice the length of the cut. So we can create the following equations for length, width, and height.
width:  w = 12 - 2x
length: l = 18 - 2x
height: h = x

Part II
v = l * w * h
v = (18 - 2x)(12 - 2x)x
v = (216 - 36x - 24x + 4x^2)x
v = (216 - 60x + 4x^2)x
v = 216x - 60x^2 + 4x^3
v = 4x^3 - 60x^2 + 216x

Part III
The length of the cut has to be greater than 0 and less than half the length of the smallest dimension of the cardboard (after all, there has to be something left over after cutting out the corners). So 0 < x < 6

Let's try to figure out an x that gives a volume of 224 in^3. Since this is high school math, it's unlikely that you've been taught how to handle cubic equations, so let's instead look at integer values of x. If we use a value of 1, we get a volume of:
v = 4x^3 - 60x^2 + 216x
v = 4*1^3 - 60*1^2 + 216*1
v = 4*1 - 60*1 + 216
v = 4 - 60 + 216
v = 160

Too small, so let's try 2.
v = 4x^3 - 60x^2 + 216x
v = 4*2^3 - 60*2^2 + 216*2
v = 4*8 - 60*4 + 216*2
v = 32 - 240 + 432
v = 224

And that's the desired volume.
So let's choose a value of x=2.
Reason?
It meets the inequality of 0 < x < 6 and it also gives the desired volume of 224 cubic inches.
3 0
3 years ago
Given the function f(x)=x+5-1 choose the correct domain
ElenaW [278]

Answer:

The domain of the function is all real numbers.

Step-by-step explanation:

I graphed the function on the graph below.

If this answer is correct, please make me Brainliest!

6 0
4 years ago
The pass marks pf a mathematics test is 75% what percentage is the fail marks?
photoshop1234 [79]

Answer:Marks below 75%

Step-by-step explanation:

Since the pass marks is 75%,the fail marks should be Marks below 75%

7 0
4 years ago
Find the total of the figure below. PLEASEEE HELPPPPPPPP!
KATRIN_1 [288]
The answer is 134 ft^2



the area of the smaller rectangle:
5 \times 6 = 30



the area of the other rectangle:
8 \times 13 = 104




the area of the whole shape:
104 +30 = 134



good luck
3 0
3 years ago
If n is a whole number, and 0.01 is between 1/n and 1/n+2, what is the value of n?
OLga [1]

The value of n is 99

Integers are the set of numbers including all natural numbers and 0. They are part of the real numbers that do not include fractions, decimals, or negative numbers. Counting numbers are also considered whole numbers.

Natural numbers together with zero (0) are referred to as whole numbers. We know that natural numbers refer to the set of counting numbers starting from 1, 2, 3, 4 and so on. Simply put, integers are a set of numbers without fractions, decimals, or even negative integers. It is a collection of positive integers and zero. Or we can say that integers are the set of non-negative integers.

Integers are the set of natural numbers togethe with the number 0. In mathematics, the set of integers is given as {0, 1, 2, 3, ...}, denoted by the symbol W.

W = {0, 1, 2, 3, 4, …}

All natural numbers are integers.

All integers are real numbers.

It is given that If n a whole number, and 0.01 is between 1/n and 1/n+2, then we need to find the value of n.

1/n+2 < 0.01 < 1/n

1/n+2 < 1/100 < 1/n

n< 100 < n +2

Put n = 99, then we get

99 < 100 < 101

Hence the value of n is 99.

<u>Learn more about whole numbers here:</u>

brainly.com/question/28052750

<u>#</u><u>S</u><u>P</u><u>J</u><u>4</u>

3 0
2 years ago
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