Hey there! I'll only explain you how to solve it and you'll have to find the answer yourself so you learn! <3 Anyhow, To simplify a complex fraction here are the steps.
(1) Convert mixed numbers to improper fractions.
(2) Reduce all fractions when possible.
(3) Find the least common denominator (LCD) of all fractions appearing within the complex fraction.
(4) Multiply both the numerator and the denominator of the complex fraction by the LCD.
(5) When possible reduce, simplify and convert to mixed numbers, any final fraction results.
Hope this helps! <3
Bob challenges Alice to a swimming race from one end of a 10-meter pool tothe other. Bob is so confident he will win that he lets Alice use the starting blockbecause diving in from there will give her a lead. He will start in the pool at the wall.Alice accepts the offer. At time t=0 seconds, Alice hits the water 2 meters out fromthe edge of the pool at a constant speed of 1 meter per second, which she maintainsthroughout the race. Meanwhile, at t=0, Bob starts off from rest at the pool walland is speeding up. Bob’s distance from the wall at any given time, t, is given byBt()=0.25t2, where Bt() measures the distance from the starting point at the poolwall. Will Bob be able to beat Alice to the opposite end of the pool? Is it possible forBob to win, and if so, how long would the pool need to be for him to win?
The sum of two numbers is 8. Two times the larger number plus four times the smaller number is 8. Find the numbers.
Answer: 12 and -4
Step-by-step explanation:
Assume the larger number is x and the smaller one is y.
In that case the relevant simultaneous equations are:
x + y = 8
2x + 4y = 8
Use substitution to find relative value of y:
x + y = 8
y = 8 - x
Use to solve equation:
2x + 4y = 8
2x + 4(8 - x) = 8
2x + 32 - 4x = 8
2x - 4x= 8 - 32
-2x = -24
x = -24 / -2
x = 12
y = 8 - x
= 8 - 12
= -4
The area of a circle is 30.85cm2. Find the length of the radius rounded to 2 DP
Answer: 3.13
Step-by-step explanation:
The area of a square is 81 cm2 . Find the perimeter of the square. Round to the nearest tenth and just write the numerical answer with no labels or variables.
Answer:
36
Step-by-step explanation:
9 times 4
Use slope-intercept method help me
Answer:
y=4x+3
Step-by-step explanation:
Find the intercept - that is 3
Find the slope - that is 4
Un sure on this if someone could answer would be great !
Answer:
x= 5/2 x= (±sqrt13)/2
Step-by-step explanation:
Rick bought a car for $17,500. Each year, the car's value decreases by 20%. At this rate, what can Rick expect the value of his car to be in 6 years? *
$1.12
$15,502.24
$4,587.52
$17,380.00
Answer:
His car would be worth $15,502.24
Step-by-step explanation:
20% of 17,500 is 350. 350 x 6 = 2,100. 17,500 - 2,100 = 15,400. But that is not an answer choice so be go to the closest number which is $15,502.24
what is the answer to this
Answer:
IDEK
Step-by-step explanation:
Answer: i d k
Step-by-step explanation:
Here is the original
23/67
Answer:
0.343283582
HOPE IT HELPS
Mark is making a model tent for his project,
the area of the base is 56 square inches.
Which of the following is the best ESTIMATE
for the volume of the tent? A-756 inches, B-
745 inches, C-1500 inches, D-800 inches?
Answer:
756 inches
Step-by-step explanation:
1. you have to multiply 27 by 56 and there's your answer.
Graph each equation. Determine the solution of the system of equations. 0 Use the graphing tool to graph the system.
Answer:
First one is 4 and the second one is 0
Step-by-step explanation:
find the value of given expression
[tex] \sqrt{65 \times 65} [/tex]
Answer:
[tex]\huge \colorbox{blue}{65}[/tex]Step-by-step explanation:
to understand thisyou need to know about:PEMDAStips and formulas:order of PEMDAS
parenthesesexponentmultiplication ordivisionaddition orsubstractionleft to rightlet's solve:simplify multiplication:
[tex] \displaystyle \: \sqrt{ {65}^{2} } [/tex]
use [tex]\sqrt{x^m}=x^{\frac{1}{2}\times m}[/tex] to simplify:
[tex] \displaystyle \: = {65}^{2 \times \frac{1}{2} } \\ = {65}^{ \cancel{ \: 2 }\times \frac{1}{ \cancel{ \: 2}} } \\ = {65}^{1} [/tex]
as we know x¹=x
therefore our final answer is
65Answer:
[tex]65[/tex]
[tex] \sqrt{65 \times 65} \\ = 65[/tex]
The y-intercept of y=2.5^x-6
Answer:
-6
Step-by-step explanation:
-6 is the y-intercept :)
The length of a rectangle is 45 inches and the width is 8 inches. A similar rectangle has a width of 24 inches what is the perimeter of the second rectangle? Show your work
Answer: The answer is 318
Step-by-step explanation:
Find the area plz plz
Answer:
57.475 ft2
Step-by-step explanation:
12.1x9.5= 114.95
114.95/2= 57.475
Answer:
[tex]\Huge\boxed{57.475 ft^2}[/tex]
Step-by-step explanation:
Hello there!
The following figure shown is a triangle
The area of a triangle can be calculated using this formula
[tex]A=\frac{bh}{2}[/tex] where b = base and h =height
The height of the triangle is 12.1 ft and the base length is 9.5ft
Knowing this information all we have to do is plug in the values into the formula
[tex]A=\frac{12.1*9.5}{2} \\12.1*9.5=114.95\\\frac{114.95}{2} =57.475\\A=57.475[/tex]
So we can conclude that the area of the triangle is 57.475 square feet
What is the volume of a sphere if it has a radius of 3 centimeters? (Use 3.14 for TT.)
Answer:
9.52
Step-by-step explanation:
What’s 142,000,000 written in scientific notations
Answer:
1.42 x 10^8
Step-by-step explanation:
For a number to be in scientific notation, it has to be between 1 and 10, so for it to meet that criteria, we would have to put the decimal point between the 1 and 4. The exponent is equal to the amount of numbers after the decimal point. We know that we have 2 numbers with the 4 and 2, and if you add all the 0s to that, we get 8. So the exponent will be 8. We add those two elements together, we get our answer, 1.42 x 10^8.
I hope that this helps :)
if m=2 , find the value of 5-m
Answer:
5 - 2 = 3
Step-by-step explanation:
Replace m with 2 since m=2
Answer:
3
Step-by-step explanation:
If m=2, then 5 - m(2) is 3, because 5 - 2 is 3.
Vanessa bought some cupcakes and brownies at the school bake sale.
She bought 25 items in total and spent $40.
Each cupcake costs $2 and each brownie costs $3.
Answer:
6 brownies and 2 cupcakes.
Step-by-step explanation:
Determine the equation of the line based on the graph.
(write in slope-intercept form)
Submit
Answer:
5/2
Step-by-step explanation:
rise over run | you rise up 5 everytime and you go right 2 everytime
find the value of x in the triangle shown below
x =____
help besties, i’m not smart
Answer:
x = 96
Step-by-step explanation:
x = 180 - (34 + 50)
x = 180 - 84
x = 96
You are smart, remember that! You just have a little trouble with this problem, that's all!
Hope that helps!
-Sabrina
i need help quickly guys
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Pythagorean Formula:
a² + b² = c²
Given:
a = 3
b = 4
Work:
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
c² = 25
[tex]\sqrt{c^2} =\sqrt{25}[/tex]
c = 5
Why is the surface area of a triangular prism measured in square units rather than in cubic units? Surface area measures the area of the faces. Area is a -dimensional measurement, so it is measured in square units.
Answer:
Step-by-step explanation:
Area of a given figure is a 2 dimensional measurement which describes the amount of space occupied by the figure, while volume of the figure describes its capacity in a 3 dimensional measurement.
The surface area of a triangular prism is the sum of the areas of all its surfaces. Since the surface area considers the areas of the figure not volume, therefore the surface area of the triangular prism is measured in square units not cubic units.
PLEASE EMERGENCY THAN YOU
Answer:
135°Step-by-step explanation:
This is a cyclic quadrilateral.
It has a property of opposite angles being supplementary.
A and C are supplementary angles:
3x + 6 + x + 2 = 1804x + 8 = 1804x = 172x = 43m∠A = 3x + 6 = 3*43+ 6 = 135°
Answer:
<A=135°
Step-by-step explanation:
3x+6+x+2=180
sum of two opposite angle of the cyclic quadrilateral is 180
4x=180-8
x=172/4=43°
<A=3×43+6=135° is your answer
Please help I don’t understand
Answer:
QS is a triangle. Because QS are connected and split down the middle which made a triangle.
Step-by-step explanation:
In the following equation, what number represents the y-intercept?
y = 2x – 10
1) 0
2) -1
3) 2
4) 10
Answer:
4) 10
Step-by-step explanation:
The number with x is slope and the other number is y-intercept so it's 10
The perimeter of a square is 100 cm. How long is one diagonal?
find the value of given expression
[tex] \sqrt{564 \times 564} [/tex]
Answer:
√(564×564)=√564²=±564
Answer:
[tex]±564.[/tex]
Step-by-step explanation:
[tex] \sqrt{564 \times 564} [/tex]
[tex] \sqrt{ {564}^{2} } [/tex]
[tex]±564.[/tex]
24. BLOCKS Building blocks are in the shape of a cube. The dimensions of the building blocks are based on the length of the packaging box, which is defined as x centimeters, where x is the length of the packaging box. What is the volume of a building block in terms of x?
Answer:
x³
Step-by-step explanation:
Given that length of packaging box = length of block = x
The volume of a box is given as : a³
Where a is the side length ;
In this scenario, x = a
Hence, volume of Block = x³
Answer:
Step-by-step explanation:
11728x6
cm3
(10-x)(3x -9)=0
NEED HELP ASAP
Answer:
Step-by-step explanation:
Since the expressions are multiplied, for the product to equal zero, one term or another has to equal 0 because 0 times anything is zero.
(10-x)(3x-9)=0 when
10-x=0, x=10
3x-9=0, x=9/3=3
So there are two solutions when x=3 and x=10