MATHEMATICS HIGH SCHOOL

Find the product: 1 1/4×5 3/5.

Answers

Answer 1

Answer:

The solution to the expression 1 1/4 × 5 3/5 as a fraction is 4 1/2

How to evaluate the expression as a fraction

from the question, we have the following parameters that can be used in our computation:

1 1/4 × 5 3/5

Convert the fractions to improper fraction

So, we have the following

1 1/4 × 5 3/5 = 5/4 × 18/5

Evaluate the product of the fractions

So, we have the following

1 1/4 × 5 3/5 = 1/4 × 18/1

Simplify

1 1/4 × 5 3/5 = 9/2

So, we have

1 1/4 × 5 3/5 = 4 1/2

Hence, the solution as a fraction is 4 1/2

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Use the discriminant to describe the roots of each equation. Then select the best description. x2 - 6x + 9 = 0

What is the length of leg y of the right triangle?A right triangle with hypotenuse 26 and legs 24 and y

10
14
24
26

Answers

b = 10 is the length of leg y of the right triangle.

Length of the hypotenuse

If a and b are the lengths of the legs of a right-angled triangle and c exists the length of the hypotenuse, then the sum of the squares of the lengths of the legs exists equivalent to the square of the length of the hypotenuse.

Then, the formula exists as

$a^2+b^2=c^2$

By substituting the value of a, b and c, then we get

$24^2+b^2=26^2$

b exists missing because we only have one leg

Now consider, $24^2=576$

$26^2=676$

$576+b^2=676$

now we remove 676 by 576=100

and it will be $b^2=100$

We square root both sides of the equation then we get

b = 10.

Therefore, the correct answer is b = 10.

To learn more about length of the hypotenuse

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The answer is 10 because 24 times 24 is 576 and that plus 100 is 676 and this number squared is 26. 26 is the hypotenuse.

Mario received 15% of the votes for class president. He got 45 votes. How many people voted in the election?

Answers

Answer:

Yikes

Step-by-step explanation:

we should private talk in chat. I could explain it to you.

Juan's age, x, is 4 times his age 15 years ago.

Answers

the answer to this question is 60 because 4 times 15 equals 60 so juans age is 60

Which statements are true for the functions g(x) = x2 and h(x) = –x2 ? Check all that apply.For any value of x, g(x) will always be greater than h(x).
For any value of x, h(x) will always be greater than g(x).
g(x) > h(x) for x = -1.
g(x) < h(x) for x = 3.
For positive values of x, g(x) > h(x).
For negative values of x, g(x) > h(x).

Answers

if x=0 then they have same value

1st and 2nd options are out

for x=-1
g(-1)=1
h(-1)=-1
3rd is true

4th
false

for all values except zero, g(x)>h(x)

correct ones are

g(x) > h(x) for x = -1.
For positive values of x, g(x) > h(x).
For negative values of x, g(x) > h(x).

Answer: g(x) > h(x) for x = -1.

For positive values of x, g(x) > h(x).

For negative values of x, g(x) > h(x).

Step-by-step explanation:

Given functions: $g(x)=x^2$ and $h(x)=-x^2$

When x=0, $g(0)=0^2=0$ and $h(0)=-0^2=0$

∴ at x=0, g(x)=h(0)

Therefore the statements "For any value of x, g(x) will always be greater than h(x)." and "For any value of x, h(x) will always be greater than g(x)." are not true.

When x=-1, $g(-1)=(-1)^2=1$ and $h(-1)=-(-1)^2=-1$

∴g(x) > h(x) for x = -1. ......................(1)

When x=3, $g(3)=(3)^2=9$ and $h(3)=-(3)^2=--9$

∴ g(x) > h(x) for x = 3....................(2)

⇒g(x) < h(x) for x = 3. is not true.

From (1) and (2),

For positive values of x, g(x) > h(x).

For negative values of x, g(x) > h(x).

Find the geometric mean between 4 square root of 3 and 10 square root of 3

Answers

Hello,
4√3*10√3=40*3=120

List the perfect squares between 100 and 500 that are even numbers

Answers

$10^2=100 \n.................\n\ 11^2=121 \n 12^2=144 \n 13^2=169 \n 14^2=196 \n 15^2=225 \n 16^2=256 \n 17^2=289 \n 18^2=324 \n 19^2=361 \n 20^2=400 \n 21^2=441 \n 22^2=484 \n................\n23^2=529$

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