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2 years ago

Help, please (Math - Dividing Fractions)

Mathematics

2 answers:

Rudiy272 years ago

8 0

Answer:

Part A = Jillian is not correct, bottom right answer

Part B = The first blank is fraction fs

Step-by-step explanation:

Rasek [7]2 years ago

4 0

On part A, the answer is D, The mixed fraction turns into 5/3 and the dividing is 3/5, which should be switched like the answer stated

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By what percent will the product of two numbers decrease if one of them is decreased by 25% and the other one is decreased by 50

olchik [2.2K]

Well, let's say the numbers are "a" and "b"

so a * b = ab

ok... now, if we reduce "a" by 25%, that means the new size is just 75% of the old one, how much is 75% of a? well, (75/100) * a, or 0.75a

now let's reduce "b" by 50%, that means the new size is 50% or half, how much is 50% of b? well (50/100)*b, or 0.5b

$\bf \begin{cases}
a\cdot b\implies ab\\
0.75a\cdot 0.5b\\
\qquad 0.75\cdot 0.5ab\\
\qquad 0.375ab
\end{cases}$

now, the new size of "ab" is just 0.375ab... well, let's revert the decimal format by simply multiplying by 100

0.375 * 100, is 37.5%

the new size of "ab" is just 37.5% of the original "ab"

it decreased by 100 - 37.5 or 62.5%

5 0

3 years ago

Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (9,8) Midpoint (0,9)

shepuryov [24]

Answer:

(-9, 10)

Step-by-step explanation:

The location of the midpoint of a line with endpoint at ( $x_1,y_1$ ) and ( $x_2,y_2$ ) is given as (x, y). The location of x and y are:

$x = \frac{x_1+x_2}{2},y=\frac{y_1+y_2}{2}$

Given the endpoint (9,8) and Midpoint (0,9), the location of the other endpoint can be gotten from:

$0=\frac{9+x_2}{2}\\ \\9+x_2=0\\\\x_2=-9\\\\Also,9=\frac{8+y_2}{2}\\ \\8+y_2=18\\\\y_2=18-8\\\\y_2=10$

Hence the endpoint is at (x2, y2) which is at (-9, 10)

5 0

3 years ago

7. A cylindrical tank can hold 2279.64 cubic feet of water. The radius of the tank is 11 feet. What is the height of the tank?

aliina [53]

Answer:

r = 8.12

Step-by-step explanation:

The volume for a cylinder is V=πr^2h therefore,

v = 2279.64

h = 11ft

r = ?

2279.64 = πr^2 * 11

$\frac{2279.64}{11}= {\pi r^2} \\$

207.24 = πr^2

$\frac{207.24}{\pi} =r^2\\\\66 = r^2\\\\\sqrt{66} = r\\\\\\8.12 = r$

3 0

2 years ago

Explain in your own words why (x + y)2 ≠ x2 + y2. Provide a numerical example to illustrate.

bekas [8.4K]

Im not sure if you wrote this wrong because (x+y)2 does equal x2+y2. An example would be if x equals 3 and y equals 4 (3+4)2=(3)2+(4)2 (7)2=6+8 14=14.

6 0

3 years ago

Find the distance between (-5,6)and (3,2).

skad [1K]

Answer:

$\displaystyle d = 4\sqrt{5}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: $\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Point (-5, 6) → x₁ = -5, y₁ = 6

Point (3, 2) → x₂ = 3, y₂ = 2

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formulas]: $\displaystyle d = \sqrt{(3+5)^2+(2-6)^2}$
[Distance] [√Radical] (Parenthesis) Add/Subtract: $\displaystyle d = \sqrt{(8)^2+(-4)^2}$
[Distance] [√Radical] Evaluate exponents: $\displaystyle d = \sqrt{64+16}$
[Distance] [√Radical] Add: $\displaystyle d = \sqrt{80}$
[Distance] [√Radical] Simplify: $\displaystyle d = 4\sqrt{5}$

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3 years ago