The difference between two whole numbers is 14. Their product is 1,800. What are the two numbers?

Answers

Answer 1

Answer: The numbers are "x" and "y", therefore, we suggest this system of equations:
x-y=14
xy=1800
We can solve by substitution method.
x=14+y

(14+y)y=1800
14y+y²=1800
y²+14y-1800=0

Now, we solve this square equation:
y=[-14⁺₋√(196+7200)] / 2=(-14⁺₋86)/2
We have two solutions:

y₁=(-14-86)/2=-50 ⇒x=14+y=14-50=-36
y₂=(-14+86)/2=36 ⇒x=14+y=14+36=50

Answer: we have two solutions:
Solution1: The first number is -36 and the other number is -50
Soltuion2: The first number is 50 and the other number is 36

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Write the word sentence as an equation. Then solve. 12 more than a number n is −9.

Answers

n+12=-9
n= -21
12+9=21
then make it a negative
so... -21

Which of the following shows 27⁄54 written in prime factored form to help in reducing the fraction to simplest form? A. 1⁄2
B. 9×3 ⁄9×6
C. 27×1 ⁄27×2
D. 3×3×3⁄3×3×3×2

Answers

Answer:

3×3×3⁄3×3×3×2

Step-by-step explanation:

27 = 3×3×3

54 = 3×3×3×2

The prime factored form of 27⁄54 is thus;

3×3×3⁄3×3×3×2

Answer:

D= 3×3×3/2×3×3×3

Step-by-step explanation:

A prime factored form breaks the number into prime numbers that give the same value when multiplied

27= 3×3×3

54=2×3×3×3

To get the simplest form of a fraction you proceed with division.

=3×3×3 / 2×3×3×3.............................cancel 3 in the numerator and denominator

= 1/2

Select the fraction that would be included in an equivalence chain for 1/4.

Answers

take it bye 1)2 so it gives u ur anser so there u are

What is the value of the expression ? expression is 1/5-5A.
Negative Exponents

B.
Negative Exponents

C.
25

D.
3125
I NEED ADDITIONAL ANSWERS ASAP

Answers

$(1)/(5^(-5)) = 5^5 = 5* 5* 5* 5* 5= 25* 25* 5 = 625* 5 = \boxed{3125}$

Please help me. I really need helpSolve using the guess-and-test strategy.

The math club has 57 members who are in sixth or seventh grades. There are twice as many sixth graders as seventh graders.

How many sixth graders are in the club?

A.
38

B.
37

C.
19

D.
18

Answers

A. 38

Let X = seventh graders

6th graders are twice the number of 7th graders; therefore, 6th graders will be 2X.
The total number of students is 57.

2X + X = 57
3X = 57
X = 57 / 3
X = 19

IF X represents the 7th graders; there are 19 seventh graders present.
Since 6th graders are represented by 2X; Then, 2 * 19 = 38 is the number of 6th graders present.

Add both numbers to check: 19 + 38 = 57.

Try 38. First divide 38 by 2, which equals 19. Then add 19 to 38 which will equal to 57. Hope this helps.

If the hypotenuse right angle of a triangle is 17 inches long, one of the legs is 15 inches. Find the length of the other leg

Answers

Use the Pythagorean theorem.
a^2+b^2=c^2

15^2+b^2=17^2

225+b^2=289

Subtract 225 from both sides of the equation and you get:

b^2=64

b=8

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