Answer:
[tex]=\frac{34}{15}[/tex]
[tex]=2\frac{4}{15}[/tex]
Step-by-step explanation:
With unlike denominators find the Least Common Denominator (LCD)
LCD = 15
Multiplying numerators and denominators to get the LCD in all fraction denominators
[tex]=\frac{14}{15} +\frac{8}{15} +\frac{4*3}{5*3}[/tex]
With like denominators we can operate on just the numerators
[tex]=\frac{14+8+12}{15}[/tex]
[tex]=\frac{34}{15}[/tex]
Simplifying the answer
[tex]=\frac{34}{15} \\=2\frac{4}{15}[/tex]
(4x^2-100)/4x(x-5) divide
[tex] \frac{ {4x}^{2} - 100}{4x(x - 5)} \\ = \frac{4( {x}^{2} - 25) }{4x(x - 5)} \\ = \frac{4 ( {x)}^{2} - ( {5)}^{2} }{4x(x - 5)} \\ = \frac{4(x - 5)(x + 5)}{4x(x - 5)} \\ cancel \: \: \: out \: \: \: (x - 5) \: \: \: from \: \: \: both \: \: \: numerator \: \: \: and \: \: \: denominator \\ = \frac{4(x + 5)}{4x} \\ cancel \: \: \: out \: \: \: 4\: \: \: from \: \: \: both \: \: \: numerator \: \: \: and \: \: \: denominator \\ = \frac{x + 5}{x} \\ = \frac{x}{x} + \frac{5}{x} \\ = 1 + \frac{5}{x} [/tex]
Answer:[tex]1 + \frac{5}{x} [/tex]
Hope it helps.
Do comment if you have any query.
which number line represents the solution of 4x - 9 > - 21?
Answer:4x -9 >= -21
4x >= -12
x >= -12/4
x >= -3
so this number line started with -3 and go away till + infinity
hope this will help you
Answer:
D
Step-by-step explanation: srry if im wrong
Point-Slope Form of a Line
What is the value of y in y = log_64 64?
Step-by-step explanation:
if I understand this correctly as logarithm of 64 to the base of 64, then the answer is clearly 1
64¹ = 64.
b. 2x^2 + 15 _<13x solve polynomial inequality by factoring.
Answer:
x<5 or x<3/2
Step-by-step explanation:
2[tex]x^{2}[/tex]-13x+15<0
2[tex]x^{2}[/tex]-10x-3x+15<0
2x(x-5)-3(x-5)<0
(x-5)(2x-3)<0
x-5<0 or 2x-3<0
x<5 or x<3/2
12
Fill in the blank: What's the length of the missing
side?
Ilype your answer
Answer:
13
Step-by-step explanation:
Using Pythagoras Theorem:
[tex]a^2+b^2=c^2[/tex]
Substitute values of a and b:
[tex]5^2+12^2=25+144=169[/tex]
[tex]c^2=169\\c=13[/tex]
The length of the missing side is 13.
Raju wants to buy a storybook. The price of the storybook is divisible by 4, 6 and 8. What is the lowest possible price of the storybook?
Answer:
24
Step-by-step explanation:
take theL.C.M. of 4,6,8.
4=2×2
6=2×3
8=2×2×2
L.C.M.=2×2×2×3=24
Ivan was the 31st person in line. His position in line was just behind 5/9 of the total number of people in line. How many people were in line? HELP PLEASE WILL MARK BRAINLIEST
31=1-(5/9)x
30=-(5/9)x
x=54
The answer is 54 people.
hope this helps :)
Juan ate 26 carrots. Carmen ate 3 times as many carrots as Juan ate.
Select the multiplication equation that represents this situation.
Group of answer choices:
25 x 3 = 75
3 x 28 = 84
3 x 26 = 78
26 x 13 = 338
Answer:
It is the third one
Step-by-step explanation:
Answer:
3 x 26 = 78
Step-by-step explanation:
It's quite simple, when you look at the problem, it states Juan at 26 carrots. Carmen on the other hand ate 3 times as much. For the answer choices, they put Carmen's 3 first and Juan's 26 second.
Shirley is making a map of Main Street, which runs west to east through town. She used the number line shown, where each unit on the number line represents a block of main street and town hall was placed at zero.
After walking Main Street, she noted the following statements in her notebook. The flower boutique is five blocks west of the pet store. The pet store is four blocks east of the bank. The bank is eight blocks west of the hardware store. The hardware store is three blocks east of the bookstore. The bookstore is two blocks east of town hall.
Shirley also made a note to place an empty store in the opposite location of the bank on the number line.
Where should Shirley plot the empty store?
Answer:
3
Step-by-step explanation:
bookstore is two blocks east of town hall: 0+2=2
the hardware store is three blocks east of the bookstore: 2+3=5
the bank is eight blocks west of the hardware store: 5-8=-3
place an empty store in the opposite location of the bank: opposite of -3 is 3
A tortoise is walking in the desert. It walks 5.12 meters in 2 minutes. What is its speed?
Answer:
2.61 meters per minute
Step-by-step explanation:
All you have to do is divide by 2!
The speed of the tortoise is 2.56 meters per minute.
What is speed?Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.
Given, A tortoise is walking in the desert.
It walks 5.12 meters in 2 minutes.
The speed meter per minute;
5.12/2
= 2.56 meters per minute.
Therefore, 2.56 meters per minute is the speed of the tortoise.
To learn more about the speed;
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Solve using elimination.
–4x + 9y = –18
–x − y = –11
find the degree of the polynomial 5ab^3-7a^5c^2-5
Answer:
7
Step-by-step explanation:
as -7a^5c^2 term has two cofficient a and b and each have power.by adding power of one term we get 7
At a concert the ratio of adults to children is 4:5. There are 720 children in a concert how many adults are there?
BRAINLIEST QUEATION !!
Answer:
576 adults
Step-by-step explanation:
The 5 part of the ratio relates to 720 children, then
720 ÷ 5 = 144 ← value of 1 part of the ratio , then
4 parts = 4 × 144 = 576 ← number of adults
Answer:
576
Step-by-step explanation:
Adults : Children
4 : 5
x : 720
Let the number of adults be x.
Use cross multiplication.
[tex]4 : 5\\ x : 720\\[/tex]
[tex]4 *720=5*x[/tex]
[tex]\frac{4*720}{5} =\frac{5x}{5}[/tex]
4 × 144 = x
576 = x
Hope this helps you.
Let me know if you have any other questions :-)
the capacity of a water tank is 1000 litres if 7/10 parts is emptied how many litres of water is left?
Answer:
700 liter
Step-by-step explanation:
because 1000 * 7/10 is 700
Find the slope of each line. PLS HELP TYSMMMM!
Answer:
Step-by-step explanation:
1. (-4, -2) (4, 0)
(0 + 2)/(4 + 4)= 2/8= 1/4
2. (-1, 2) (1, -3) = (-3 - 2)/(1 + 1) = -5/2
3. (-2, 3) (0, 0) = (0 - 3)/(0 + 2) = -3/2
4. (1, 1) (3,2) = (2 - 1)/(3 - 1)= 1/2
Richard purchases a box of 12 cookies and Meghan purchases a bag of 10 cookies. Richard ate x amount of cookies from his box while Meagan ate half the number of cookies Richard ate. How many cookies did Richard eat if they had the same number of cookies left
Richard: 12 cookies
Meghan: 10 cookies
If Richard eats 4 cookies, then Meghan would eat half, or 2. So Richard would have 8 cookies, and Meghan would also have 8 cookies.
12 - x = 10 - x/2
If x = 4
12 - 4 = 10 - 4/2
8 = 8
Which confirms that Richard would have to eat 4 cookies for them to have the same amount.
I hope this helps! :)
A taxi service charges $1.00 for the first 1/10 of a mile and $0.10 for each additional 1/10 of a mile after that. fill in the table.
distance traveled
(miles)
9/10
2
3 1/10
10
price
?
(dollars)
Is this a proportional relationship?
Type yes or no
9414 1404 393
Answer:
$1.80, 2.90, 4.00, 10.90
not proportional
Step-by-step explanation:
For some distance d, we have a charge f(d) that is ...
[tex]f(d)=\begin{cases}1.00&0\le d\le0.1\\1.00+0.10\cdot\dfrac{(d-0.1)}{0.10}&0.1<d\end{cases}[/tex]
for d > 0.1, this simplifies to d +0.9.
Then the charges are ...
[tex]\begin{array}{cc}\underline{\text{miles}}&\underline{\text{charge}}\\9/10&1.80\\2&2.90\\3\ 1/10&4.00\\10&10.90\end{array}[/tex]
The different relation for the first 1/10 mile indicates ...
the relationship is not proportional.
Which parent function is represented by the graph?
Answer: D. The quadratic parent function.
Step-by-step explanation:
Quadratic functions have a parabola shape like the graph shown in the image.
Order of operations and cross
reduce:
I got 20/3 but I think I’m wrong
Answer:
130/81
simplified: 1 49/81
Step-by-step explanation:
I did the math
Select the correct answer from each drop-down menu.
A machine cuts a strip of carpet into two pleces. The length of the smaller plece is 5 meters greater than 4 the length of the larger piece. If
the length of the smaller piece is 12 meters, the length of the bigger plece is meters and the total length of the carpet is
meters.
Length of larger piece be x
Smaller piece=4x+5x=12m
[tex]\\ \sf\longmapsto 4x+5=4(12)+5=60+5=65m[/tex]
Total length=65+12=77m
The length of the bigger piece is 1.75 meters and the total length of the carpet is 13.75 meters.
Given that length of the smaller piece is 12 meters.
The length of the smaller piece is 5 meters greater than 4 times the length of the larger piece.
Let's represent the length of the larger piece as "x."
Length of the smaller piece = 4 times the length of the larger piece + 5
12 = 4x + 5
Subtracting 5 from both sides:
12 - 5 = 4x
7 = 4x
Dividing both sides by 4:
7/4 = x
1.75 = x
So, the length of the bigger piece is 1.75 meters.
To calculate the total length of the carpet, we add the length of the smaller piece and the length of the bigger piece:
Total length of the carpet = Length of the smaller piece + Length of the bigger piece
Total length of the carpet = 12 + 1.75
Total length of the carpet is approximately 13.75 meters.
Therefore, the length of the bigger piece is 1.75 meters and the total length of the carpet is 13.75 meters.
To learn more on Equation:
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what is it called when a constant and variable are combined (math)
Answer:
a 'term'
Step-by-step explanation:
3r means the constant 3 multiplied by the variable 'r'
Please help if you can!
Answer:
-3
Step-by-step explanation:
that’s where the line intercepts with the y axis
Answer:
-3,0 is y intercept good luck
3. Marilyn hit a golf ball on the ground with her driver. Use
the general function for a projectile to write a function
that shows the height in feet of her golf ball as a function
of time. The ball was hit with an initial vertical velocity of
130 feet per second.
h(t) = -16t2 + 130t
a) How long will Marilyn's ball stay in the air?
b) What was the maximum height of the ball?
It will take the ball 4.0625secs to stay in the air
The maximum height of the ball is 264.0625m
Given the function representing the height reached by the golf expressed as;
h(t) = -16t^2 + 130t
The velocity function is expressed as:
v(t) = -32t + 130
At maximum height, the velocity of the ball will be zero, i.e v(t) = 0
0 = -32t + 130
32t = 130
t = 130/32
t = 4.0625
Hence it will take the ball 4.0625secs to stay in the air
b) Substitute t = 4.0625 into the height function to have:
h(t) = -16t^2 + 130t
h(t) = -16(4.0625)^2 + 130(4.0625)
h(4.0625) = -264.0625 + 528.125
h(t) = 264.0625m
Hence the maximum height of the ball is 264.0625m
Learn more on velocity function here: https://brainly.com/question/10962624
PLEASE HELP I HAVE 3 MINUTES LEFT TO DO THIS TY
Which expression is equivalent to 5(8 + 9)?
O 40 + 45
O 13 + 9
O 13 + 14
O 40 + 9
Answer:
40+45
Step-by-step explanation:
17x5 is 85
Answer:
40 + 45
Step-by-step explanation:
5(8 + 9)
= 5*8 + 5*9
= 40 + 45
Two functions f and g are defined on the set R, of real numbers by f : x 2x 3 and
x g : x 1 3x . Find the inverse of the function f and the domain of gof.
Answer:8
Step-by-step explanation:
If ACD and BAC are alternate interior angles and mACD=101°
Answer is A. 101°
Step-by-step explanation:
(2³ x 2⁵) ÷ 2⁸
Solution
Answer:
it is 1
Step-by-step explanation:
Let's use PEMDAS (do the parenthesis first).
2 to the 3 = 2x2x2 = 8
2 to the 5 = 2x2x2x2x2 = 32
8 x 32 = 256 (all the solutions are factors of 2048).
2 to the 8 = 2x2x2x2x2x2x2x2 = 256 again
256 / 256 = 1
A photo is 4 inches tall and 6 inches wide. To be proportional, how tall would the photo need to be if it were 10 inches wide?
Answer:
6[tex]\frac{2}{3}[/tex] inches tall
Step-by-step explanation:
4:6 = x:10
We can set it up like this:
[tex]\frac{4}{6}=\frac{x}{10}[/tex]
And then cross multiply & solve:
40 = 6x
6[tex]\frac{2}{3}[/tex] = x
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Which shows the expanded form of the number 54.98?
O a. 5x10+4x1+9x1+8 x 10
B. 5 x 10+ 4x1 +9 x 10+ 8 x 100
C 5x 10+4x1+9x to +8 100
10
D. 5 x 1000 + 4 x 100 + 9 x 10 + 8