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4 years ago

EXTRA POINTS!

Mathematics

1 answer:

puteri [66]4 years ago

5 0

Answer:

Henry is 5kg short of cement.

Step-by-step explanation:

4:3:1

Cement : Sand : Gravel

We can also write the ratio as:

4 x Gravel : 3 x Gravel : 1 x Gravel

Therfore a logical "x" would be the amount of gravel.

If we substitute gravel with x and put it in an equation we get:

4x+3x+x=120

8x=120

x=120/8

x=15

This way we can check if each value is correct.

x = Weight of Gravel = 15kg Correct

3x = Weight of Sand = 45kg Correct

4x = Weight of cement = 60kg WRONG!

The actually weight of cement is 55kg.

Therefore Cement is 5kg short.

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The equations in elimination method are written in the standard form as _______________.ax - by = cax + by + c = 0Ax + By = Cax

laiz [17]

Step 1

Given; The equations in the elimination method are written in the standard form as ____

Step 2

Simultaneous linear equations can be solved using the elimination method. First of all, make sure that the equations are written in the standard form either Ax+By=C or Ax+By+C=0. In this method, we multiply both the equations with a non-zero number to make the coefficients of any one variable equal.

Thus the answer is; The equations are written in standard form as seen below

$Ax+By=C$

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1 year ago

What is the x-intercept of the line described by the equation?

DiKsa [7]

Answer:

(0,-6)

Step-by-step explanation:

recall that the y-intercept is simply the point where the line crosses the y-axis at x = 0.

to find the y intercept, we simply substitute x=0 into the equation and solve for y

12x - 10y = 60, when x = 0,

12(0) - 10y = 60

-10y = 60

y = 60 / (-10)

y = -6

hence the coordinate of the y - intercept is (0,-6)

7 0

3 years ago

Laurie was completing the treasurer's report for her son's Boy Scout troop at the end of the school year. She didn't remember ho

FrozenT [24]

Answer:

14 boys paid for the full year fee and 4 boys paid for the partial year fee

Step-by-step explanation:

Create a system of equations, where x is the number that paid for the $24 fee and y is the number that paid for the $16 fee:

24x + 16y = 400

x = y + 10

Solve by substitution by plugging in y + 10 as x:

24x + 16y = 400

24(y + 10) + 16y = 400

Solve for y:

24y + 240 + 16y = 400

40y + 240 = 400

40y = 160

y = 4

Then, plug in 4 as y to find x:

x = y + 10

x = 4 + 10

x = 14

So, 14 boys paid for the full year fee and 4 boys paid for the partial year fee.

8 0

3 years ago

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Sonja [21]

X, x + 2, x + 4 cause if you add 1 it becomes even so add 2 everytime to keep it odd

6 0

3 years ago

What is the insverse of the function f(x) =2x+1?

goldenfox [79]

F(x) = 2x + 1

To find the inverse of a function you just need to switch the x by y or vice-versa:

-> y = 2x + 1
-> x = 2y + 1

After that you isolate the y again:

-> 2y = x - 1

-> y = (x-1)/2
-> f^-1 (x) = (x-1)/2

Answer:
$f^{ - 1} (x) = (x - 1) \div 2$

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3 years ago