Explanation/Answer: 23.5
The decimal value of 10716 / 456 is 23.5.
Given,
10716 / 456.
We need to convert it into a decimal value.
What is a decimal number?A number that has a decimal point is called a decimal number.
In order to convert a fraction into a decimal number, we need to divide the numerator by the denominator.
Example: 7/2 =3.5
Find the decimal number.
We have,
10716 / 456
We can directly divide or we can simplify the fraction into a simpler fraction.
10716 = 12 x 893
456 = 12 x 38
So,
= 12 x 893 / 12 x 38
= 893 / 38
Divide 893 by 38
We get,
= 23.5
Thus the decimal value of 10716 / 456 is 23.5.
Learn more about converting fractions into decimals here:
https://brainly.com/question/2362378
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The perimeter of a rectangular outdoor patio is 66 ft. The length is 3 ft greater than the width. What are the dimensions of the patio?
Answer:
width = 15 ft
length = 18 ft
Step-by-step explanation:
lets assume the width is w, and length is l.
For the first equation, we all know that a rectangle is 2 widths and 2 lengths added up, which in "math" language looks like this:
2w+2l= 66
for the second equation, the problem says that the length is 3 ft greater than the width. From there, we can derive the equation:
w+3 = l
Now you can substitute one of the variables, length or width, but it is easier to do length. The equation ends up being:
2(w+3) + 2w = 66
Distributive property:
2w+6+2w = 66
which is equal to:
4w+6 = 66
which finally is:
w=15 ft.
Now that we know the width, we can just add 3 to the width to get the length, according to the problem. You get:
L = 18 ft.
In an attempt to improve brand recognition, the marketing department of AC Sports is
creating conical paper water cups with their brand printed around the surface of the
cup. The cups will be sent to athletic departments for free. About how much space do
the graphic artists working on the design have to work with if the cup will have a
diameter of 2.5 inches and a height of 3.5 inches?
Answer:
about 37.31 inches of space
Step-by-step explanation:
In this case, you would need to find the area of a cylinder with these dimensions.
Formula: 2πrh+2πr²
The r is the radius, and since the diameter in this situation would be 2.5, the radius would be 1.25.
2π(1.25)(3.5)+2π(1.25)²
2π4.375+2π1.5625
8.75π+3.125π
37.3064128
about 37.31 inches of space
What number must be added to 101 to produce a number equal to the product of 101 x 21
Answer:
2020
Step-by-step explanation:
101 • 21 = 2121
2121 - 101 = 2020
Two people start walking at the same time in the same direction. One person walks at 8 mph and the other
person walks at 3 mph. In how many hours will they be 1.25 miles apart?
Answer:
0.25hoursStep-by-step explanation:
Data
speed v1=8mph
speed v2=3mph
distance= 1.25
time t=?
speed= distance/time
distance=speed*time
1.25=8*t-3*t
1.25=8t-3t
1.25=5t
t=1.25/5
t=0.25hours
In minutes it is 15min
the graph of linear function g is shown on the grid. What is the zero of g? (-8,3) (-3,-4.5)
Answer:
Zero of the function = (-6, 0)
Step-by-step explanation:
Let the equation of the function given in the graph is,
y = mx + b
where m = slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
b = y-intercept of the line
From the graph attached,
Slope of the line passing through (-8, 3) and (-3, 4.5) = [tex]\frac{-4.5-3}{-3+8}[/tex] = -1.5
y - intercept 'b' = -9
Therefore, equation of the line will be,
y = -1.5x - 9
Function representing this line will be,
g(x) = -1.5x - 9
Zeros of the given function will be,
g(x) = 0 Or x-intercept
-1.5x - 9 = 0
x = -6
Therefore, zero of the given function is (-6, 0).
State the domain of the following mapping
Answer:
where's the map
Step-by-step explanation:
You are given $893 in one, five, and ten dollar bills. There are 165 bills. There are twice as many five dollar bills as there are ones and tens combined. How many bills of each type are there?
Given:
You are given $893 in one, five, and ten dollar bills.
There are 165 bills.
There are twice as many five dollar bills as there are ones and tens combined.
To find:
How many bills of each type are there?
Solution:
Consider the number of bills of one dollars, five dollars and ten dollars are x, y and z respectively.
According to the question,
Number of bills : [tex]x+y+z=165[/tex] ...(1)
Total amount : [tex]1x+5y+10z=893[/tex] ...(2)
Condition : [tex]y=2(x+z)[/tex] ...(3)
Equation (3) can be written as
[tex]\dfrac{y}{2}=x+z[/tex] ...(4)
Substituting [tex]x+z=\dfrac{y}{2}[/tex] in (1), we get
[tex]\dfrac{y}{2}+y=165[/tex]
[tex]\dfrac{3y}{2}=165[/tex]
[tex]3y=330[/tex]
[tex]y=110[/tex]
Substituting y=110 in (4), we get
[tex]x+z=\dfrac{165}{2}[/tex]
[tex]x+z=55[/tex]
[tex]x=55-z[/tex] ...(5)
Substituting y=110 and x=55-z in (2), we get
[tex](55-z)+5(110)+10z=893[/tex]
[tex]55-z+550+10z=893[/tex]
[tex]9z+605=893[/tex]
[tex]9z=893-605[/tex]
[tex]9z=288[/tex]
Dividing both sides by 9, we get
[tex]z=32[/tex]
Substituting z=32 in (5), we get
[tex]x=55-32[/tex]
[tex]x=23[/tex]
Therefore,
One dollar bills = 23
Five dollars bills= 110
Ten dollars bills = 32
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Julie bought 3 tomatoes for a price of $0.60 each. Using the key, create a
model to represent how much Julie can expect to pay for the tomatoes.
Then write an equation that matches your model.
KEY
- 1 dollar
Answer:
y=.60x
Step-by-step explanation:
where y is the amount of money Julie can expect to pay
where x is the amount of tomatoes she is buying
i dont understand what the key means, but this would be the appropriate model for this problem
Can i get brainliest please?
What is the difference between 71.27 and38.86?
Answer:
32.41Step-by-step explanation:
72.21 - 38.86 = ?
32.41Hope this helps! <3
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer......
7 1 . 2 7
_- 3 8 . 8 6___
3 2 . 4 1
---> 32.41
Hope it helps you,
mark me as the brainliest.....
Follow me.......
PLEASE HELP I HAVE TO GET THIS DONE
Answer: so the answer is A
Step-by-step explanation: -3/2
if you ever have a question like that again go to Math-way it is every helpful and easy.
X+ 2 = 5 and y-3 = 2
Answer:
x=3
y=5
because 5-2=3 so 3 is x
and 2+3 is 5 so y is 5
Answer:
X = 3, Y =
Step-by-step explanation:
This is because 2+3=5,
and5-3=2
w(t) = 3t – 1; t = 5
Calculate.
(2x105)(4.3x109)
Write your answer in scientific notation.
Answer:
9.8427x10⁴
Step-by-step explanation:
Answer:
98427x^2
9.8427x10^4
Step-by-step explanation:
In the number 65.784, what place is the 7 in?
Answer: tenths
Step-by-step explanation:
Answer:
TENTHS
Step-by-step explanation:
What is the value of y?
B
60°
12
12
ro
60°
А
12 to 60
answer 60°
solve:180°-(60°+60°)
180°-120°
60°##
Simplify (-4/5)divided by (3/-2). -8/15 -6/5 6/5 8/15
Answer:
8/15
Step-by-step explanation:
-4/5 ÷ -3/2
Copy dot flip
-4/5 * -2/3
Multiply the numerators
8
Multiply the denominators
15
Put the numerator over the denominator
8/15
Answer: 8/15
Step-by-step explanation: (-4/5)divided by (3/-2) is 8/15.
A cashier worked an 8-hour day, and earned $58.00. The double number line shows the amount she earned for working different numbers of hours. For each question, explain your reasoning.
How much does the cashier earn per hour?
How much does the cashier earn if she works 3 hours? pls help me!!
Answer:
The cahier earns 7.25 an hour
and in three hours she will have 21.75
Answer:
Step-by-step explanation: IT Is The cashirs earns $7.25 each hour.She will have 21.7$
what is 8 times 0.9 equal
Answer:
7.2
Step-by-step explanation:
Perform the indicated operation
3/4 divided by 1/3
Answer:
2 1/4
Step-by-step explanation:
3/4 ÷ 1/3 = ?
(to divide fractions faster you flip the second fraction so:)
3/4 x 3/1 = 2 1/4
Joe makes $3.50 per hour working at a convenience store. If he gets a bonus of $25 this
week, how many hours must he work to make at least $165?
Answer:
40
Step-by-step explanation:
Working backwards, he has to get 140 from working hours alone. 140/3.5=40. He has to work 40 hours to get at least 165
what is the answer for 14x divided by 7x
Answer:
2x
Step-by-step explanation:
You're dividing 14 multiplied by a number by 7 multiplied by a number. So you'd get 2 multiplied by a number.
Brandon is deciding between two truck rental companies. Company A charges an initial fee of $75 for the rental plus $2 per mile driven. Company B charges an initial fee of $35 for the rental plus $3 per mile driven. Let AA represent the amount Company A would charge if Brandon drives xx miles, and let BB represent the amount Company B would charge if Brandon drives xx miles. Write an equation for each situation, in terms of x, and determine which company would be cheaper if Brandon needs to drive 45 miles with the rented truck.
Answer:
-Equations:
AA=75+2x
AA=75+2x
-Company A would be cheaper.
Step-by-step explanation:
-Company A: The equation would indicate that the amount the company would charge is equal to the initial fee for the rental plus the cost per mile driven for the number of miles driven:
AA=75+2x
AA=75+2(45)
AA=75+90
AA=165
-Company B: The equation would indicate that the amount the company would charge is equal to the initial fee for the rental plus the cost per mile driven for the number of miles driven:
BB=35+3x
BB=35+3(45)
BB=35+135
BB=170
According to this, if Brandon needs to drive 45 miles with the rented truck, Company A would charge $165 and Company B would charge $170 which means that Company A would be cheaper.
70 + x + 55 + 30 = 180
Answer:
x=25
Step-by-step explanation:
First, we add all like terms. Then, we solve for x.
[tex]70+x + 55 + 30 = 180\\x+70 + 55 + 30 = 180\\x+155=180\\x=25[/tex]
We can rearrange some things because order does not matter with addition. Next, we just use basic equation solving techniques.
Answer:
25. Hope this helps :)
Step-by-step explanation:
180-70=110
110-55=55
55-30=25
Your missing answer would be 25
X=25
When five times a number is decreased by 9, the result is 11. What is the number?
Answer
4
Step-by-step explanation:
Add 9 to 11, then divide that by 5.
Answer:
4
Step-by-step explanation:
work backwards 11+9 is 20. Divide 20 by 5 = 4
ok so if someone needs 2 1/4 cups of water for 1 cup of rice then if they use 1/3 cup of rice how much water would they need
You would need 3/4 cups of water.
What is the solution to the system shown here?
x + y 25
x + y = 5
Answer:
no solution (parallel lines )=1/1=1/1=5/1
Step-by-step explanation:
Blood pressure: High blood pressure has been identified as a risk factor for heart attacks and strokes. The proportion of U.S. adults with high blood pressure is 0.4. A sample of 39 U.S. adults is chosen. Use the TI-84 Plus Calculator as needed. Round the answer to at least four decimal places. Part: 0 / 60 of 6 Parts Complete Part 1 of 6 Is it appropriate to use the normal approximation to find the probability that more than 43% of the people in the sample have high blood pressure? It ▼(Choose one) appropriate to use the normal curve, since =np ▼(Choose one)10 and =n−1p ▼(Choose one) 10.
Answer:
Yes it appropriate to use the normal approximation to find the probability that more than 43% of the people in the sample have high blood pressure
Step-by-step explanation:
From the question we are told that
The population proportion is p=0.4
The sample size is n = 39
The sample proportion is [tex]\^ p = 0.43[/tex]
Generally for normal approximation to be used
[tex]np > 10[/tex]
so np = 39 * 0.4 = 15.6 > 10
and [tex]n(1- p) > 10[/tex]
so n(1-p ) = 39(1-0.4) = 23.4 >10
Given that the both condition is meet it mean that it appropriate to use the normal approximation to find the probability that more than 43% of the people in the sample have high blood pressure
rewrite the equation 10=1,000 with an exponet that makes it true .
Answer:
[tex]10^3=1,000[/tex]
Step-by-step explanation:
The expression 10=1,000 is obviously false, but we can make it true by rewriting it with an exponent.
Note that 1,000=10*10*10
Or, equivalently:
[tex]1,000=10^3[/tex]
Thus, if we modify the original false expression and add an exponent 3 to the base 10, then it would be true:
Original:
10=1,000 => false
Rewritten true:
[tex]\boxed{10^3=1,000}[/tex]
Willa Schaefer deposited $3,000 in a savings plan with her credit union. The credit union savings plan pays 3% interest compounded semiannually. If she makes no other deposits or withdrawals: what is the amount in the account after 2 1/2years?
Answer:
225776
Step-by-step explanation:
Trust me i got it right.