7/9+6/8+6/3=
I really need the answer
Answer:
[tex]\frac{1}{30}[/tex]
Step-by-step explanation:
Take it in steps. First, find 7/9+6. Then we'll find 8+6/3, and, finally, we'll divide the two answers.
1:
7/9+6 = 7/15
2:
8+6/3 = 14/3
3:
[tex]\frac{\frac{7}{15}}{\frac{14}{3}}[/tex] or [tex]\frac{7/15}{14/3}[/tex]
Then take that in chunks: 7/14 and 15/3.
7/14 = 1/2
15/3 = 5/1
Use those to rewrite it as [tex]\frac{1/5}{2/3}[/tex].
1/5 = .2
2/3 ≈ .6667 so we'll keep writing it as 2/3
[tex]\frac{\frac{.2}{2}}{3}[/tex]
.2/2 = .1, so:
[tex]\frac{.1}{3}[/tex] = [tex]\frac{1}{30}[/tex]
An apartment building contains 250 apartments. There are 50 more 2-bedroom apartments than 1-bedroom apartments. How many apartments of each type are there
Answer:
100
Step-by-step explanation:
Answer:
100 1- bedroom and 150 2- bedroom
Step-by-step explanation:
let x be the number of 1- bedroom apartments , then
x + 50 is the number of 2- bedroom apartments , so
x + x + 50 = 250 ( subtract 50 from both sides )
2x = 200 ( divide both sides by 2 )
x = 100
There are 100 1- bedroom apartments and 100 + 50 = 150 2- bedroom
_____ - (-5) = -15
pls help
Answer:
[tex]x - ( - 5) = - 15 \\ x + 5 = - 15 \\ x = - 15 - 5 \\ x = - 20 \\ thank \: you[/tex]
Answer:
y-(-5)=-15
y+5=-15
y=-15-5
y=-20
1.2.PS-9
Which numbers are rational?
8
11
7, 3.41, 0,
2
-9
3'
Select all that apply.
9514 1404 393
Answer:
all except π are rational numbers
Step-by-step explanation:
Any ratio of integers, terminating decimal, or repeating decimal is a rational number. Pi (π) is represented symbolically because it cannot be written exactly. It is an irrational number.
All of the numbers listed except π are rational.
HELP PLS
Given the exponential function f(x) and the logarithmic function g(x), which of the following statements is true?
*Exponential function f of x equals 3 to the power of x minus 1 that increases to the right passing through the point 0 comma 0 and logarithmic function g of x equals log in base 3 of x minus 3 increasing from left to right passing through the point 1 comma negative 3
A. As x approaches infinity, f(x) approaches infinity, and g(x) approaches 0.
B. As x approaches infinity, f(x) approaches 2, and g(x) approaches 0.
C. As x approaches infinity, f(x) approaches 2, and g(x) approaches infinity.
D. As x approaches infinity, f(x) approaches infinity, and g(x) approaches infinity.
Answer:
As x→∞, f (x)→∞ and g(x)→∞.
Step-by-step explanation:
Looking at the graph there is no asymptote interrupting either f(x) or g(x) so when the graphs will continue on they will just approach infinity. Also just took this assessment and got a 100%.
I need help with math please here is a photo
brainiest to whoever right
Answer:
(x - 6)(x + 2)
Step-by-step explanation:
x^2 - 4x - 12
=x^2 - 6x + 2x - 12
=x( x - 6) + 2(x - 6)
=(x - 6)(x + 2)
Answer:
x^2 -4x-12
factorization of 12 =2×2×3 = 6×4
or in the place of 4x = we put (6-2)x
x^2-(6-2)x-12
x^2-6x+2x-12
x(x-6)+2(x-6)
(x-6) (x+2)
Plz help me with these with steps
Answer:
10. 9/40
11. $72
Step-by-step explanation:
10.
Step 1: Have the whole cake as 1,
[tex]1-\frac{1}{8} -\frac{2}{5} -\frac{1}{4}\\= 1 -\frac{5}{40}-\frac{16}{40}-\frac{10}{40} \\= \frac{9}{40}[/tex]
11.
Step 1: Find the remaning income left
[tex]1-\frac{5}{16}-\frac{1}{4}-\frac{1}{24} -\frac{1}{48} \\= \frac{3}{8} \\[/tex]
Step 2: Calculate the weekly income
3 units = $27
1 unit = $9
Weekly income = $9 * 8 = $72
3. A sea gull was flying 4 feet above sea level when a fish below it jumped one foot out of the water. How far apart were the seagull and the (unlucky) fish?
Answer: 3ft difference
Step-by-step explanation:
Seagull = +4ft
Fish = +1ft (since it jumped 1ft above sea level)
4-1 = 3ft difference
HELP ME PLS!!!!!!!!
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Answer:
$58
Step-by-step explanation:
James currently has $67 less than $125:
$125 -67 = $58
James currently has $58.
A one day visit to Dollywood in Tennessee’s Smoky Mountains cost $56 for an adult and $45 for a child. Find the cost admission for two adults and four children.
a.) $101
b.) $112
c.) $292
d.) $314
Answer:
$56×2=$112 and $45×4=$180 so $112+$180= $291
What length of cable, rounded to the nearest foot is needed to connect the top of a 60-foot tower to an anchor point 35 feet
from the base of the tower?
A) 73
B) 67
C)69
D)64
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Answer:
C) 69 ft
Step-by-step explanation:
The desired length is the hypotenuse of a right triangle with legs 35 and 60. It can be found using the Pythagorean theorem.
length = √(60² +35²) = √4825 ≈ 69.46
The length needed is about 69 feet.
PLZZZ HELP ME
Solve the equation and check your solution.
1. 3(x+6)=18+3x
2. -2(x-1)=2-2x
3. x+4=-2+x
4. -2(x+2)=5-2x
Answer:
1. 0
2.0
3.2
4.1
Step-by-step explanation:
1.3x+18
2.-2x+2
3.x-x+4-2
5-2x-2+5-2x
Answer:
3x + 18 = 18 + 3x-2x + 2 = 2 - 2x4 = -2 (the statement is false)-4 = 5 (the statement is false)53 x(41 x 11) = (53 x 41) x 11
A. True
B. False
Step-by-step explanation:
As it holds Associative property..
So, it's correct
Answer:
TRUE
Step-by-step explanation:
Associative property of multiplication
If 2/5 of a pole is 3:6,what will be the length of 5/9 of it?
Answer:
Ans : the length of 5/9 is 5m
State the gradient of the line perpendicular to the line y = 3x - 2.
Answer:
Step-by-step explanation:
y = 3x - 2
Slope of line is 3.
Slope of any perpendicular to the line is -⅓.
A line passes through the point (-6,-9) and has a slope of . Write an equation in slope-intercept form for this line.
Answer:
y = [tex]\frac{5}{2}[/tex]x + 6
Step-by-step explanation:
7 divided by 345689
Answer:
Do you mean 345689/7 if so it equals this 49384.1428571. If you didn't and you mean 7/345689 it equals this. 0.00002024941
For the following system of equations, determine how many solutions there are. y = 5(x − 4) and 4x + 12 = −y
Answer:
It has two solutions
Step-by-step explanation:
[tex]y = 5(x - 4)[/tex]
substitute for y in second equation:
[tex]4x + 12 = - y \\ 4x + 12 = - \{5(x - 4) \} \\ 4x + 12 = - 5x + 20 \\ 9x = 8 \\ x = \frac{8}{9} [/tex]
then for y:
[tex]y = 5(x - 4) \\ y = 5( \frac{8}{9} - 4) \\ \\ y = 5( - \frac{28}{9} ) \\ \\ y = - \frac{140}{9} [/tex]
Let f(x)=x^3+3 and g(x) = 2x^2 + 2x +1. What is g(f(-2))?
Answer:
41
Step-by-step explanation:
This composite function can be easily solved
First solve f(-2)
f(-2)=(-2)³+3
f(-2)=-8+3=-5
Now plug -5 for x in function g(x)
=2(-5)²+2(-5)+1
=50-10+1
=41
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Answer:
41
Step-by-step explanation:
g(f(-2)) = g((-2)³ +3) = g(-8+3) = g(-5)
= 2(-5)² +2(-5) +1 = 50 -10 +1
g(f(-2)) = 41
Find the value of x 8/x=6/30
Answer:
x = 40
BRAINLIEST, PLEASE!
Step-by-step explanation:
8/x = 6/30
8/x = 1/5
x = 8/(1/5)
x = 8(5)
x = 40
plz with steps .. it's very hard can anyone plz
Answer:
Step-by-step explanation:
[tex]\displaystyle\ \lim_{n \to a} \dfrac{\sqrt{2x}-\sqrt{3x-a} }{\sqrt{x}-\sqrt{a}} =\frac{0}{0} \\\\we\ can \ use\ Hospital's\ Rule\\\\\\f(x)=\sqrt{2x}-\sqrt{3x-a} \qquad f'(x)=\dfrac{2}{2*\sqrt{2x}} -\dfrac{3}{2*\sqrt{3x-a}} \\\\g(x)=\sqrt{x} -\sqrt{a} \qquad g'(x)=\dfrac{1}{2\sqrt{x}} \\\\\\\displaystyle\ \lim_{n \to a} \dfrac{\sqrt{2x}-\sqrt{3x-a} }{\sqrt{x}-\sqrt{a}} =\lim_{n \to a} \dfrac{\dfrac{2}{2*\sqrt{2x}} -\dfrac{3}{2*\sqrt{3x-a}} }{\dfrac{1}{2\sqrt{x}} }\\\\[/tex]
[tex]\displaystyle \lim_{n \to a} \dfrac{2\sqrt{x} }{\sqrt{2x}} -\dfrac{3*\sqrt{x} }{\sqrt{3x-a}} =\lim_{n \to a} \dfrac{2 }{\sqrt{2}} -\dfrac{3*\sqrt{x} }{\sqrt{3x-a}}\\\\\\=\dfrac{2}{\sqrt{2}} -\dfrac{3*\sqrt{a} }{\sqrt{2a}}\\\\\\=\dfrac{2}{\sqrt{2}} -\dfrac{3}{\sqrt{2}}\\\\\\=-\ \dfrac{1}{\sqrt{2}}\\\\[/tex]
Point V is on line segment UW. Given VW = 5x - 4, UV = 2x, and UW = 5x, determine the numerical length of VW
Answer:
VW = 6
Step-by-step explanation:
To find x, set up the following equation:
(5x - 4) + (2x) = 5x
Solve out left side
7x - 4 = 5x
Subtract 5x from both sides
2x - 4 = 0
Add 4 to both sides
2x = 4
Divide both sides by 2
x = 2
Plug into 5x - 4
5(2) - 4
10 - 4
6
Answer:
6
Step-by-step explanation:
5x - 4 + 2x = 5x
7x - 4 = 5x
-4 = -2x
2 = x
5(2) - 4
10 - 4
6
what is the equivalent ratio of 24 to 6
Answer:
1/4
Step-by-step explanation:
24/6
4
4+4+4+4+4+4
) A real estate agent sells a unit for $800 000. The commission rate is 2.75% of the selling price. Calculate the commission. (A) $25 000 (B) $27 750 (C) $220 000 (D) $22 000
Answer:
The answer is (D) $22 000
Step-by-step explanation:
800,000/100 = 8,000
I did this to show 1% of 800,000 is 8,000 (To find 1% of a number always divide it by 100)8,000*2.75=22,000
I did this because since I know 8,000 is 1% percent of the price I can times it by the percentage rate to find how much the commission is. Also note that there are other ways to solve this equation that may suit you better, this is the way I do it and I find it much more faster.is a graph with asymptotes discontinious?
Answer:
In order for the function to be discontinuous at an asymptote, the curve needs to exist on both sides of the asymptote. If the curve only exists on one side of the asymptote, then there's no discontinuity at that point.
Step-by-step explanation:
10) Pete is fast, Repeat is 3 times faster. If
Pete and Repeat can complete the job in
56 minutes, how fast is Pete? (I want
Pete's time only)
Answer:
14 minutes
Step-by-step explanation:
if Pete is x times fast then Repeat is 3x faster
so if both combine to complete a job in 56 minutes then we have
[tex]x + 3x = 56 \\ 4x = 56 \\ x = 14[/tex]
remember Pete is x hence Pete was 14 minutes fast
3) Find the range of the function.
f(x) = -x2 - 5
A) [5,-)
B) (-0,5]
[-5,-)
D) (--, -5]
Answer:
Range is (0, -5)
Step-by-step explanation:
[tex]{ \sf{f(x) = - {x}^{2} - 5}}[/tex]
when x is 0:
[tex]{ \sf{f(0) = - 5}}[/tex]
which fractions is equivalent is 6/10
1.3/5
2.9/12
3.20/50
4.40/50
Answer:
1 as
3/5 × 2/2 = 6/10
Step-by-step explanation:
Hope it helps
Kelly said that 97/1000 can be written as 0.97 is correct? Explain.
Answer:
No
Step-by-step explanation:
To write 97/1000 as a decimal you have to divide numerator by the denominator of the fraction.
We divide now 97 by 1000 what we write down as 97/1000 and we get 0.097
And finally we have:
97/1000 as a decimal equals 0.097