MATHEMATICS HIGH SCHOOL

What should be done so that the expression will have a value of 10?12 - 2 + 22 ÷ 8

Add parentheses around 12 - 2.
Add parentheses around 2 + 2.
Add parentheses around 22 ÷ 8.
Nothing needs to be done.

Answers

Answer 1
Answer:

Nothing can be changed in order to equate the expression to 10.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is the following expression -

12 - 2 + 22 ÷ 8

[A] : {12 - 2} + 22 ÷ 8

10 + 22 ÷ 8

10 + 2.75 ≠ 10

[B] : 12 - {2 + 2}2 ÷ 8

12 - 4 x 2 ÷ 8

12 - 4 x 2 x 1/8

12 - 4 x 1/4

12 - 1

11  ≠ 10

[C] : 12 - 2 + {22 ÷ 8}

12 - 2 + 2.75

12 + 0.75

12.75 ≠ 10

Therefore, nothing can be changed in order to equate the expression to 10.

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What is the relationship between ratios 10/24 and 5/12, proportional or non-proportional? A. Proportional B. Non-proportional

Answers

Answer:  Proportional

Reason: The fractions 5/12 and 10/24 are equal.

To go from 5/12 to 10/24, double both top and bottom

5*2 = 10

12*2 = 24

To go in reverse, divide both parts by 2

10/2 = 5

24/2 = 12

What is equivalent to 9c - 12 - 15c - 8 - 3c?

Answers

The expression 9c - 12- 15c - 8 - 3c is equivalent to -9c - 20.

What is an algebraic expression?

An algebraic expression is consists of variables, numbers with various mathematical operations,

The given expression is,

9c - 12- 15c - 8 - 3c.

Solve the expression for terms c,

9c - 12 - 18c - 8

-9c - 12 -8

Further, solve for constant terms,

-9c - 20

The simplified form of the expression is -9c - 20.

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Answer:

-9c-20

Step-by-step explanation:

Simplify the equation by adding/subtracting the like terms (c and numbers)

If I make $7.25 a hour and I work for three days how much money is that every two weeks

Answers


There are a couple of things you didn't mention. 
In order to come up with an answer to the question,
I have to assume reasonable numbers for them, and
then answer the question that I have invented.

Assumption #1:  Each day that you work, you work for 8 hours.

Assumption #2:  You work for three days each week.

If those assumptions are true, then you earn

  ($7.25 / hour) x (8 hours/day) x (3 days/week) x (2 weeks)  =

       ($7.25 x 8 x 3 x 2)  =  $348  before taxes and other deductions.
I am pretty sure it would be $43.50 every two weeks because $7.25 x 3 is 21.75 and then for two weeks add 21.75 +21.75

In a quadrilateral, three of the angles are obtuse. Which of the following could not be the angle measure of the fourth angle?20°
40°
60°
90°

Answers

If an angle it is obtuse it is between 90 and 180.

Angles in a quadrilateral add up to 360.

Therefore 3 obtuse angles must add up to AT LEAST 273 and if you then added the 90 it would get you to 363 which is too large so it cant be 90 :)

Consider the graphs of f(x) and g(x). If g(x) = f(x)+k, find the value of k.

edit: added image

Answers

Answer:

The value of k is -7

Step-by-step explanation:

We are given the graph of f(x) and g(x). If g(x)=f(x)+k

If we shift f(x) k unit vertical get g(x).

If k>0 then shift up

If k<0 then shift down.

f(x) and g(x) are both parabola curve.

First we find the vertex of f(x) and g(x)

Vertex of f(x) = (3,1)

Vertex of g(x) = (3,-6)

We can see change in y co-ordinate only.

f(x) shift 7 unit down to get g(x)

g(x)=f(x)-7

Therefore, The value of k is -7
movement up k units means add k to whole function
moved from 1 to -6
movement up -7 units

k=-7

A 250 ml bottle of water treatment liquid will treat up to 625 litres of water. Given that 1 cubic meter=1000 litres, how much treatment liquid is needed to treat a water tank of 224m cubed when full. Please show workings. Many thanks

Answers

224 m cubed corresponds to:
224×1000=224,000 liters of water in your water tank.
Each bottle of liquid can treat 625 liters of water so you need:
224,000/625=358.4 bottles (a little bit less than 358 and a half bottle) corresponding to:
358.4×250=89,600 ml of treatment liquid.
so 224 cubic meters=224 times 1000 liters=224000 leters


so




250 ml=625 leter
divide 250 by 625 to find how many ml per liter
250/625=0.4
therefor
0.4ml=1 leter treted

so


224000 leters
0.4 ml per liter
224000 times 0.4=89600 ml total
89600=89.6 liters


total is 89600 ml or 89.6 liters
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