What is 1/4 written as a percent

Answers

Answer 1
Answer: 1/4 is basically 25 cents if you think of quarters. Do .25=25%

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The standard form of the equation of a parabola is y = 5x2 + 20x + 14. What is the vertex form of the equation?

A. y = 5(x + 2)2 + 10
B. y = 5(x + 2)2 - 6
C. y = 5(x + 4)2 - 6
D. y = 5(x + 4)2 + 10

Answers

The vertex form of quadratic equation is expressed as:

y = a (x - h)² + k

We manipulate the given equation to be the same as the vertex form. First we transpose the constants to the left-hand side.

y - 14 = 5x² + 20x

Then, we factor out in right hand side the coefficient of the x² term.

y- 14 = 5 (x² + 4x)

We divide the coefficient of the x term with 2 and take its square. We add this value to both sides of the equation but we should remember that in the left-hand side we should multiply this value with five to keep it balanced.

y - 14 + 20 = 5 (x² + 4x +4)

We simplify the right-hand side as:

y + 6 = 5 (x + 2)²

We can now manipulate further the equation above in the vertex form. Thus,

y= 5 [ x- (-2)]² - 6

Answer:

y = 5(x+2)^2 - 6

Step-by-step explanation:

What's the missing side length on the triangle if side a=√33 and side b=4

Answers

Answer:

7

Step-by-step explanation:

to find the missing side length you use the pythagorean theorem a^(2) +b^(2) = c^(2)

so (√(33) )^(2) + 4^(2) =49^(2) and then you take the square root of 49^(2) and you end up with an answer of 7.

Isosceles trapezoid ABCD has legs and and base , If AB = 7y – 4, BC = 4y – 6, and CD = 8y – 18, find the value of y.

Answers

If an isosceles trapezoid ABCD has legs AB and CD and base BC, then:
AB = CD
AB = 7 y - 4,  CD = 8 y - 18
8 y - 18 = 7 y - 4
8 y - 7 y = 18 - 4
Answer:
y = 14

Answer:

y= 14

Step-by-step explanation:

Isosceles trapezoid has opposite sides equal

Hence, AB and CD are equal

We have been given AB= 7y-4

And CD= 8y-18

According to the property

7y-4 = 8y-18

On simplification:

7y -8y= -18+4

On further simplification.

-y=-14

Hence, y =14

Which of the following is the value of the expression (5a + 3)/(a ^ 2 - 1) when a = - 3 ?

Answers

Answer:

-3/2

Step-by-step explanation:

(5a + 3) / (a^2 - 1) when a = -3, substitute all values of "a" for -3:

(5(-3) + 3) / ((-3)^2 - 1)

(-15 + 3) / (9 - 1)

(-12) / (8)

Simplify:

- 3/2

The LCM of two numbers is 14 times their HCF. The sum of LCM and HCF is 600. If one number is 280, then find the other number.

Answers

Given:

The LCM of two numbers is 14 times their HCF.

The sum of LCM and HCF is 600.

One number is 280.

To find:

The other number.

Solution:

Let HCF of two numbers be x.

The LCM of two numbers is 14 times their HCF.

LCM = 14x

The sum of LCM and HCF is 600.

14x+x=600

15x=600

x=(600)/(15)

x=40

So, HCF = 40 and the LCM is

LCM=14(40)

LCM=560

We know that, if a and b are two numbers, then

a* b=LCM(a,b)* HCF(a,b)

One number is 280.

280* b=560* 40

b=(560* 40)/(280)

b=2* 40

b=80

Therefore, the other number is 80.

- Tony had 4 equal sets of sportscards. He gave his friends 5 cards.
Now he has 31 cards. How many
cards were in each set?

Answers

Answer:

9 cards

Step-by-step explanation:

he originally had 36 cards before giving 5 away, 36 divided by 4 is 9