5 2/3 divided by 4 in fraction
When [tex]5\frac{2}{3}[/tex] is divided by 4 then the result will be [tex]\frac{17}{12}[/tex] in fraction form.
We have to divide the mixed fraction [tex]5\frac{2}{3}[/tex] by 4.
Let us convert the mixed fraction to improper fraction.
[tex]5\frac{2}{3}[/tex] = [tex]\frac{17}{3}[/tex]
Now divide the fraction [tex]\frac{17}{3}[/tex] by a whole number 4.
[tex]\frac{\frac{17}{3}}{4}[/tex]
When a fraction is divided by a whole number then the fractions denominator is multiplied with the whole number.
[tex]\frac{17}{3 \times 4}[/tex]
Simplifying further:
[tex]\frac{17}{12}[/tex]
Hence, when [tex]5\frac{2}{3}[/tex] is divided by 4 then the result will be [tex]\frac{17}{12}[/tex].
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{2, 3, 8, 19, 46, ...}
Answer:
111
Step-by-step explanation:
Multiply the number by two and then add the number right before it.
3*2+2=8
8*2+3=19
19*2+8=46
46*2+19=111
and so on.
You use the punch recipe to create a larger batch that uses 10 liters of ginger ale. How many cans of pineapple juice should you use?
Punch Recipe
2 liters of ginger ale
2 cans of lemonade concentrate
I can of pineapple juice
I quart of sherbet
O1
05
O 20
O 10
Which best describes the error in finding the simple interest earned on $500 at 6% for 18 months? They did not convert $500 to cents. They did not multiply in the correct order. They did not place the decimal in the answer correctly. They did not convert 18 months to years. Question 2 Correct the error. The simple interest earned equals $ .
Answer:
45
OThey did not covert the 18 months to year
Step-by-step explanation:
I= PxRxT. 18/12=1.5
I=500x0.06x1.5
I=45
What’s less -99 or 1/100
Answer:
-99
Step-by-step explanation:
1/100 is positive, and -99 is negative, so 1/100 is greater
Genevieve deposit $400into her bank account. The equation A(t)= 400(1.07) can be used to calculate the value of her money after t years. What is the annual interest rate she is earning on her deposit
Answer:
Step-by-step explanation:
7%
Answer: 7%
Step-by-step explanation:
(Easy) For the following quadratic function, find the axis of symmetry, the vertex and the y-intercept. y = x^2 + 12x + 32
Answer:
see explanation
Step-by-step explanation:
Given a quadratic in standard form , y = ax² + bx + c ( a ≠ 0 ), then
The x- coordinate of the vertex, which is also the equation of the axis of symmetry is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = x² + 12x + 32 ← is in standard form
with a = 1, b = 12 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{12}{2}[/tex] = - 6
Substitute x = - 6 into y for corresponding y- coordinate
y = (- 6)² + 12(- 6) + 32 = 36 - 72 + 32 = - 4
Thus
equation of axis of symmetry is x = - 6
vertex = (- 6, - 4 )
To find the y- intercept , let x = 0
y = 0² + 12(0) + 32 = 32 ← y- intercept
The axis of symmetry is x = -6, vertex is (-6,-4) and y-intercept is 32.
Quadratic function:Important information:
The given quadratic function is [tex]y=x^2+12x+32[/tex].Substitute [tex]x=0[/tex] to find the y-intercept.
[tex]y=(0)^2+12(0)+32[/tex]
[tex]y=32[/tex]
The vertex form of a quadratic function is:
[tex]y=a(x-h)^2+k[/tex] ...(i)
Where a is constant, (h,k) is vertex and x=h is the axis of symmetry.
Adding and subtracting the square of half of coefficient of x, the given quadratic function can be written as:
[tex]y=x^2+12x+32+6^2-6^2[/tex]
[tex]y=(x^2+12x+6^2)+32-36[/tex]
[tex]y=(x+6)^2-4[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=1,h=-6,k=-4[/tex]
Therefore, the axis of symmetry is x = -6, vertex is (-6,-4) and y-intercept is 32.
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cuál es el Angulo de 68 grados y como se llama
Answer:
se llama agudo el ángulo de 80 grados
PLZZ HELP
When dividing fractions, the ________ term becomes the reciprocal.
Neither
Second
Both
First
In a math statement 4^9 the 9 is called the
Answer:
exponent
Step-by-step explanation:
cuz that s what it is called
Answer:
expo
Step-by-step explanation:
give them brain, they're correct.
There is a line whose y-intercept is 7 and whose slope is 3. What is the equation in slope intercept form?
Answer:
y = 3x + 7
Step-by-step explanation:
Slope intercept form: y = mx + b
Pls help, I will give brainlist
Answer:
3-> 10
60<-200
Step-by-step explanation:
X times something = Y
6 times something= 20
something= 20/6= 10/3
3 times 10/3 = 10
200 / 10/3 = 200 times 3/10 =60
y=10
x=60
find the distance between two points ( -1,1) and (2,-4)
Answer:
The distance between two points ( -1,1) and (2,-4) is:
[tex]d=\sqrt{34}[/tex] or d = 5.8 units.
Step-by-step explanation:
Given the points
(-1, 1)(2, -4)Finding the distance between (-1, 1) and (2, -4) using the formula
[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
substitute (x₁, y₁) = (-1, 1) and (x₂, y₂) = (2, -4)
[tex]=\sqrt{\left(2-\left(-1\right)\right)^2+\left(-4-1\right)^2}[/tex]
[tex]=\sqrt{\left(2+1\right)^2+\left(-4-1\right)^2}[/tex]
[tex]=\sqrt{3^2+5^2}[/tex]
[tex]=\sqrt{9+25}[/tex]
[tex]=\sqrt{34}[/tex] units
or
[tex]d = 5.8[/tex] units
Therefore, the distance between two points ( -1,1) and (2,-4) is:
[tex]d=\sqrt{34}[/tex] or d = 5.8 units.
Find the volume of each prism. Show your work for full credit!
Answer:
1080
Step-by-step explanation:
1/2*base area*h
What is the domain of the relation?
ty
4
2
-4<=x<=4
-4
-4<=X<=6
4
-4
3 of 11
Answer:
-4 ≤ x ≤ 6
Step-by-step explanation:
When we talk of the domain, we are referring to the possible x-values
from the diagram, we can see that we have the x-values at -4 and 6
The dotted line means that -4 and 6 are in the domain
Thus, the two points represent the end and starting point of the domain
Writing this in interval notation, we have the representation as;
-4 ≤ x ≤ 6
what is 2 increased by 5 times a number
Answer
what is 2 increased by 5 times a number = 10
Step-by-step explanation:
Answer:
The number:
1: 7
2: 12
3: 17
4: 22
5: 27
6: 32
7: 37
8: 42
9: 47
10: 52
The increase for each number will be 5.
Step-by-step explanation:
A summer camp wants to buy 2,944 popsicles. If there are 8 popsicles in each box, how many boxes should the camp buy?
Answer:
368 boxes of popsicles :)
Step-by-step explanation:
2,944/8 = 368
answer this please and asadp
ur mom
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Answer:
A. x/3 + 10
C. (3015/x) - 186
Step-by-step explanation:
a. 15/3+10
5+10
15
b. 15,521/15
1034.73 repeated
(3015/x)-186
3015/15-186
201-186
15
2x^2/5-25
A car is driving down a road at a normal speed of 50 miles per hour. It enters a hilly area of gradual incline and decline, where it must drive 50 miles up hill and then 50 miles downhill. If this 100 mile section of road takes 2.6 hours to traverse instead of the expected 2 hours (the time it would take if the road was completely flat) determine the speed that the hills add or subtract when going over.
Answer:
Step-by-step explanation:
I'm going to assume that the car goes 50-x mph uphill and 50+x mph downhill.
x ≅ 24 miles per hour
26 mph uphill and 74 mph downhill
Mrs. Kim bought
4
4 boxes of stickers at the store to share with her students. Each box contained
64
64 stickers.
Answer:
She has 256 stickers.
Step-by-step explanation:
4 times 64 equals 256
A boy does 20J of work in 4s. Find his Power.
Answer:
5 watts
Step-by-step explanation:
power (measured in watts) is joules per second, or J/s
J = 20
s = 4
J/s = 5
Find the percent of increase from 12.5 inches to 18.5 inches. Round the percent to the nearest tenth if necessary.
Answer:
148%
Step-by-step explanation:
12.5x = 18.5
Find the volume of the given shape. Round your answer to the nearest
tenth if necessary.
*
Answer:
4,084
Step-by-step explanation:
Volume of a cylinder formula [tex]v=\pi r^{2} h[/tex]
h = 13ft
r = 10ft (20/2)
Then you solve
[tex]v=3.14*10^{2}*13\\\\v=3.14*100*13\\v=314*13\\v=4,082[/tex]
(I will give Brainliest and 100 points!!!)
James bought 4 tubes of paint to use for an art project. He paid the same amount for each tube, and he spent less than $20 in all. Solve for the cost of tube of paint.
(You have to write it with inequalities, not an equal sign.)
Joseph must sell more than 20 ice cream cones in order to make a profit. He has already sold 6 cones. How many cones must Joseph still sell?
(You have to write it in inequalities, not an equal sign. For example, NOT 2=25, but like THIS: 2<25)
Answer: Problem 1: x<$5
Problem 2: 6 + c ≥ 20
Step-by-step explanation:
number of tubes=4
total=<$20
4(x)<$20
x<$20/4
x<$5
number of ice cream cones needed to make profit=20
number of ice cream cones sold so far= 6
how many left?= c
6 + c ≥ 20
I am not a professional, simply using prior knowledge.
Which of the decimals or fractions is not equal to 0.525 or 1/8
Answer:
0.18
Step-by-step explanation:
1/8 as a decimal is 0.125
1/8 un-simplified is 3/24
0.525 as a fraction is 21/40
So 0.18 is the only one that doesn't belong
0.18 is not equal to 0.525 or 1/8. Therefore Option (A) is the correct answer.
We need to find which of the decimals or fractions are not equal to 0.525 or 1/8.
How do convert decimals to fractions?The decimal numeral system is the standard system for denoting integer and non-integer numbers.
To convert decimal to fraction follow these steps
Step 1: Make a fraction with the decimal number as the numerator (top number) and a 1 as the denominator (bottom number).
Step 2: Remove the decimal places by multiplication. First, count how many places are to the right of the decimal. Next, given that you have x decimal places, multiply the numerator and denominator by [tex]10^{x}[/tex].
Step 3: Reduce the fraction. Find the Greatest Common Factor (GCF) of the numerator and denominator and divide both numerator and denominator by the GCF.
Step 4: Simplify the remaining fraction to a mixed number fraction if possible.
Now, from option (A)
0.18=18/100=9/25
From option (B)
0.125=125/1000=5/40=1/8
From option (C)
3/24=1/8
From option (D)
21/40=0.525
Therefore, option (A) is the correct answer.
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The DeJeu family plan to drive to Marietta, GA to Newark, NJ. The distance is about 880 miles and the majority of their trip will be on a highway, where they will travel at an average speed of 65 miles per hour. They are leaving at 7:30 am, and they plan to stop 3 times for 10 minutes each and once for 1 hour. What is the approximate travel time?
Answer:
[tex]10:02:24\ \text{pm}[/tex]
Step-by-step explanation:
d = Distance to travel = 880 miles
s = Average speed of the car = 65 mph
Time taken to cover the distance is
[tex]t=\dfrac{d}{s}\\\Rightarrow t=\dfrac{880}{65}\\\Rightarrow t=\dfrac{176}{13}\ \text{h}=13.54\ \text{hours}[/tex]
Time the car stopped
[tex]3\times 10+60=90\ \text{minutes}=1.5\ \text{hours}[/tex]
Total time of the journey
[tex]13.54+1.5=15.04\ \text{hours}[/tex]
Converting [tex]0.04\ \text{hours}[/tex] to minutes
[tex]0.04\times 60=2.4[/tex]
So, the total time taken for the journey is [tex]15\ \text{hours and }2\ \text{minutes and }24\text{seconds}[/tex]
Time when they reach their destination
[tex]7:30+15:2.4\approx 10:02:24\ \text{pm}[/tex]
What is the measure of the missing angle
The measure of the missing angle is 119 degrees.
Explanation:
This is because this angle is a supplementary angle, which means that two angles put together equal 180 degrees. Since we already know the measure of one angle (61 degrees), we can subtract it from 180 degrees. We could figure this out by doing 180-61, which would get us the measure of the missing angle, 119 degrees.
A bag contains colored tiles.
Answer:
0.5
Step-by-step explanation:
total tiles = 12
green tiles = 6
so : 6/12 = 0.5
Jackie has $32 in her purse. She earned $80 from babysitting this week.
What percentage of the money she earned from babysitting is in her
purse?
Answer:
40%
Step-by-step explanation:
assuming all the money in the purse is from babysitting then (32/80)*100= 40%.
in other words, 32 is 40% of 80
Answer:
89.6
Step-by-step explanation:
A dripping tap wastes 11,250 ml of water in 9 hours. If it drips equal quantity in each hour ,how much water will be wasted in an hour? Express your answer in L.
Answer: In 1 hour , it will waste = 1.25ml
Step-by-step explanation:
Volume of water wasted by the tap in 9 Hours = 11,250 ml
Since it drips in equal quantity,
In 1 hr , it will drip= 1 x 11,250 / 9 = 1,250 ml
But 1000 ml = 1 Liter
1250 ml = 1250ml x 1Liter / 1000ml= 1.25L