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3 years ago

What is 10 1/4 - 2 2/4

Mathematics

1 answer:

lana66690 [7]3 years ago

6 0

Answer:

10 1/4 - 2 2/4 = 37/4

Step-by-step explanation:

10 1/4 - 2 1/2
10*4+1/4 = 41/4
(41/4) - 1 = 37/4

That answer!

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The figure shows the construction steps to bisect an angle. The steps are in an incorrect order. What is the correct order of th

klemol [59]

Answer:

The correct order of the steps is CEABD ⇒ B

Step-by-step explanation:

Let us arrange the figures

To construct a bisector of an angle

First: Draw angle AOB

First step is figure C

Second: Place the pin of the compass on point O and draw an arc intersects the two sides of the angle OA and OB at points D and E

Second step is figure E

Third: Place the compass on point D and draw an arc in the interior of the angle

Third step is figure A

Fourth: without change the open of the compass place its pin on point E and draw an arc which intersects the arc drawn from point D at point C

Fourth step is figure B

Fifth: Draw a line from point A to point C, this line AC is the bisector of angle AOB

Fifth step is figure D

The correct order of the steps is CEABD

6 0

4 years ago

8 two ninths – 2 two over three

almond37 [142]

Answer:

8 2/9 - 2 2/3 = 50/9 = 5 5/9

Step-by-step explanation:

So the answer would be B.

4 0

3 years ago

Read 2 more answers

Complete the steps to solve the polynomial equation x3 – 21x = –20. According to the rational root theorem, which number is a po

jeka94

Answer:

Zeroes : 1, 4 and -5.

Potential roots: $\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20$ .

Step-by-step explanation:

The given equation is

$x^3-21x=-20$

It can be written as

$x^3+0x^2-21x+20=0$

Splitting the middle terms, we get

$x^3-x^2+x^2-x-20x+20=0$

$x^2(x-1)+x(x-1)-20(x-1)=0$

$(x-1)(x^2+x-20)=0$

Splitting the middle terms, we get

$(x-1)(x^2+5x-4x-20)=0$

$(x-1)(x(x+5)-4(x+5))=0$

$(x-1)(x+5)(x-4)=0$

Using zero product property, we get

$x-1=0\Rightarrow x=1$

$x-4=0\Rightarrow x=4$

$x+5=0\Rightarrow x=-5$

Therefore, the zeroes of the equation are 1, 4 and -5.

According to rational root theorem, the potential root of the polynomial are

$x=\dfrac{\text{Factor of constant}}{\text{Factor of leading coefficient}}$

Constant = 20

Factors of constant ±1, ±2, ±4, ±5, ±10, ±20.

Leading coefficient= 1

Factors of leading coefficient ±1.

Therefore, the potential root of the polynomial are $\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20$ .

3 0

4 years ago

What value of $k$ will make $4x^2 - 20x + k$ the square of a binomial?

Arisa [49]

Answer:

k = 25

Step-by-step explanation:

(2x - sqrt(k) )^2 Expand this as a binomial

4x^2 - 4x*sqrt(k) + k The middle term must be -20x Solve for k so it is

-4xsqrt(k) = - 20x Divide by -4x

sqrt(k) = -20x/-4x Do the division

sqrt(k) = 5 Square both sides

k = 25

5 0

3 years ago

Stevie and Michael share their profit in a ratio 3:5. Stevie gets £120 more than Michael. How much profit did they make altogeth

Airida [17]

Answer:

£480

Step-by-step explanation:

we can multiply both terms of ratio with same number without changing the ratio.

Example

a:b = ax: bx (here we have multiplied both terms with x)\

Given

Stevie and Michael share their profit in a ratio 3:5

Let the profit for Stevie and Michael be 3x and 5x

Given Stevie gets £120 more than Michael

Profit for Steve = 120 + profit for Michael

3x = 120 + 5x

3x-5x = 120

=> -2x = 120

=> x= -120/2 = -60

As we see profit is negative , hence it cannot be solution.

It can be solved if Stevie and Michael share their profit in a ratio 5:3

(note: in ratio , bigger number should have bigger term in ratio)

Let the profit for Stevie and Michael be 3x and 5x

Given Stevie gets £120 more than Michael

Profit for Steve = 120 + profit for Michael

5x = 120 + 3x

5x-xx = 120

=> 2x = 120

=> x= x120/2 = 60

Profit for stevei = 5x =5*60 = 300

Profit for Michael = 3x = 3*60 = 180

Total profit for them together = 300 + 180 = 480 Answer.

8 0

3 years ago