Answer:
225.24099
Step-by-step explanation:
249.99(0.15) = 37.4985
249.99 - 37.4985 = 212.4915
212.4915(0.06) = 12.74949
212.4915 + 12.74949 = 225.24099
PLS HELP
PLSSSSSSSSSSS
Answer:
y=-15
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Working together, two ants named Aran and Beatrice can build an ant hill in 10 hours. Aran and Charlie can build the ant hill in 12 hours. Beatrice and Charlie can build the ant hill in 15 hours. How long, in hours, will it take to build the ant hill if Aran, Beatrice, and Charlie work together?
Here we have a problem of rates of work, we want to know how long will take the 3 ants to build an ant hill if they work together.
We will find that working together, they need to work for 8 hours.
----------------------------------
Let's start by defining the variables that we will use:
A = rate at which Aran worksB = rate at which Beatrice works.C = rate at which Charlie works.Now let's see the given information:
"Aran and Beatrice can build an ant hill in 10 hours"
This can be written as:
(A + B)*10 h = 1 ant hill
"Aran and Charlie can build the ant hill in 12 hours"
This can be written as:
(A + C)*12 h = 1 ant hill
"Beatrice and Charlie can build the ant hill in 15 hours"
This can be written as:
(B + C)*15 h = 1 ant hill.
Then we have 3 equations:
[tex](A + B)*10 h = 1[/tex]
[tex](A + C)*12 h = 1[/tex]
[tex](B + C)*15 h = 1[/tex]
Where for commodity, I removed the "ant hill" unit.
Now we need to solve this system of equations, to do it, we need to isolate one variable in one of the equations and then replace it on another equation.
I will isolate A in the first equation:
[tex]A = \frac{1}{10h} - B[/tex]
Now we can replace it in the second equation to get:
[tex](\frac{1}{10h} - B + C)*12h = 1[/tex]
Now we can isolate C in the last equation to get:
[tex]C = \frac{1}{15h} - B[/tex]
Replacing that in the above equation we get:
[tex](\frac{1}{10h} - B + \frac{1}{15h} - B)*12h = 1\\\\\frac{1}{6h} - \frac{1}{12h}= 2*B\\\\\frac{1}{2}*\frac{1}{12h} = \frac{1}{24h} = B[/tex]
This means that Beatrice alone would construct the hill in 24 hours.
Now that we know the value of B, we can use:
[tex]C = \frac{1}{15h} - B = \frac{1}{15h} - \frac{1}{24h} = \frac{1}{40h}[/tex]
This means that Charlie needs 40 hours to finish the hill alone.
Finally, we can use [tex]A = \frac{1}{10h} - B[/tex] to find the value of A:
[tex]A = \frac{1}{10h} - B = \frac{1}{10h} - \frac{1}{24h} = \frac{7}{120h}[/tex]
Now if the 3 ants work together, the total rate at which they work is:
[tex](A + B + C) = (\frac{7}{120h} + \frac{1}{40h} + \frac{1}{24h} ) = 0.125 h^{-1}[/tex]
This means that they need to work for the inverse of that rate
[tex]\frac{1}{0.125h^{-1}} = 8h[/tex]
Working together, they need to work for 8 hours to complete an ant hill
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Paul won 37 super bouncy balls playing hoops at county fair. At school he gave two to every student in his math class. He only had 3 remaining. How many students are in his class?
Answer:
17 students
Step-by-step explanation:
If he started with 37 and ended with 3 we have to subtract those three first so that we know how many we are actually working with so, 37-3=34. 34 balls is the amount distributed among the class. 34/2 is 17.
someone help me with this
When multiplying or dividing integers, if the signs are the same, you keep the sign for the answer.
GIVING BRAINLIST PLEASE ANSWER CORRECT!!!
False
True
Two trains, Train A and Train B, weigh a total of 381 tons. Train A is heavier than Train B.
The difference of their weights is 193 tons. What is the weight of each train?
I need this answer quick!
Answer:
Train A is 287 tons
Train B is 94 tons
Step-by-step explanation:
My method of solving it may have been a bit different from how you were taught. I divided 381 by 2 to give both trains an equal weight of 190.5 tons. I then divided the difference, 193, by 2 to get 96.5 tons. I subtracted the new difference from the weight of Train B and added it to train A. To double check, you can grab a calculator and see that their weights are equal to 381.
Find the perimeter of this semi-circle with radius,
r
= 26cm.
Give your answer as an expression in terms of
π?
Answer:
26x2,
52xπ
Step-by-step explanation:
The perimeter of this semi-circle with a radius of 26 cm will be 81.64 cm.
What is the circumference of a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
Let 'r' be the radius of the circle. The circumference of the circle will be
C = 2πr units
The radius of the semicircle is given as,
r = 26 cm
Then the circumference of the semicircle is half of the circle. Then we have
C = 1/2 x 2πr
C = πr
At r = 26 cm, then we have
C = 3.14 x 26
C = 81.64 cm
The perimeter of this semi-circle with a radius of 26 cm will be 81.64 cm.
More about the circumference of a circle link is given below.
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Plz help me I will give you brainliest and 10 points
Answer:
0.08522
Step-by-step explanation:
A spinner is shown below.
Which of the following relative frequencies match the expected probability?
What is the value of
2021
−
2223
+
2425
?
?
Answer:
2223
Step-by-step explanation:
We need to find the value of 2021-2223+2425.
Firstly subtract 2223 from 2021.
2021-2223 = -202
Now add -202 and 2425. So,
2425 +(-202) = 2223
So, the value of 2021-2223+2425 is 2223. Hence, this is the required solution.
find the common difference of the arithmetic sequence -2,-4,-6
Answer:
-2
Step-by-step explanation:
-4-(-2) = -2
-6-(-4) = -2
What was the price for one notebook?
Answer:
A notebook at the dollar store costs between 1-2 dollars
An ipod shuffle costs $99.00. The sales tax rate is 8%. What is the total cost of the ipod shuffle including tax?
What is the solution to the equation? 13 3/4+X= 7 1/ 4
Answer: x=-6 1/4
Step-by-step explanation:
in the equation x+12=30 does x=16 explain your answer
Evaluate the expression 42 + 5/9y
Jonathan is building an outdoor staircase for his deck. He uses 8 screws for every 2 steps. If there are 14 steps, how many screws does Jonathan need?
Answer:
56 screws
Step-by-step explanation:
So, first we can find how many screws he needs.
So, if he uses 2 steps for 8 screws, and has 14 steps, that means he puts screws in 7 steps ( 14÷2)
then, if he uses 8 screws, each with 8 steps, we can do 8 times 7, which is 56 screws
The screws does Jonathan need is 56 screws.
It is required to find how many screws does Jonathan need.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
Jonathan uses 8 screws for every 2 steps. If there are 14 steps.
So, first we can find how many screws he needs.
According to given question we have
So, if he uses 2 steps for 8 screws, and has 14 steps, that means he puts screws in 7 steps ( 14÷2)
then, if he uses 8 screws, each with 8 steps, we can do 8 times 7, which is 56 screws.
Therefore, the screws does Jonathan need is 56 screws.
Learn more details about arithmetic here:
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Which postulate proves that the triangles below are similar?
SSS
AA
SAS
These triangles are not similar
Answer:
AA~
Step-by-step explanation:
These triangles are similar but not congruent. One triangle is bigger than the other, meaning none of the side lengths are the same. On the triangles, two angles are given, a 53 degree and a 90 meaning that you would us the AA rule to determine if they are similar. Which they are.
The two triangles are similar triangles using AA postulate.
What are Similar Figures?Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".
Given one of the angles in both the triangles is equal to 53°, the other angle is 90°, which are also the vertical angles to each other. As shown below.
Hence, the two triangles are similar triangles using AA postulate.
Learn more about Similar Figures:
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Have to find x,y and z.
Answer:
z= 2√2
x=2
y=2√2
You brought a magazine for $3 and some candy bars for $2 each. You spent a total of $19. How many candy bars did you buy?
Answer:
8
Step-by-step explanation:
Answer:
Candy bars: $13
Step-by-step explanation:
$3 magazine + $13 total of candy bars = $19
A circle fits in a square with sides of 12 inches. What is the approximate area of the shaded region between the square and the circle? (Use 3.14 for Pi and round to the nearest whole number.)
A. 31 in squared
B. 69 in squared
C. 106 in squared
D. 125 in squared
Answer:
A
Step-by-step explanation:
If a line passes through (4,13) and (6,19) what is the slope? And can you please explain how you got your answer
Answer:
The slope is 3.
Step-by-step explanation:
The equation for slope is either [tex]\frac{y2-y1}{x2-x1}[/tex] or [tex]\frac{y1-y2}{x1-x2}[/tex]. So this should be [tex]\frac{19-13}{6-4}[/tex], which is 3.
Answer:
Slope =
6
—
2
Step-by-step explanation:
First find the rise over run
Second use the format
Y2-y1
———-
X2-x1
Using the format you will get this
19-13
——
6-4
Next solve
Which then you get
6
—
2
Graph the line with the equation y = 22 - 2.
y
10
9
8
7
6
5
4
3
2
-10 -9
-8
-7 -6
-5
-4
-3
-2
-
1
2
3
4
5 6
7
8
9 10
-1
SOMEONE DO THESE QUESTIONS FOR ME ASAP!! - GIVING BRAINLIEST
Answer:
1 Question= 26
2 Question=41
3 Question= 57
4 Question= 15
5 Question = 20
Step-by-step explanation:
Add the two expressions.
3y + 5 and y + 24
Enter your answer in the box.
Answer:
4y+29
Step-by-step explanation:
Collect like terms
3y + y = 4y
5 + 24 = 29
4y+29
1.How do you know you have a direct variation in the
relationship between two quantities?
Answer:
Say you have y=2x. That is direct variation and will always pass through the origin when graphed. When x is multiplied by a number, the y value will also be changed by that number. If you add a y-intercept and change y=2x to, for example, y=2x+2, the x and the y will no longer be related by a constant ratio.
Step-by-step explanation:
Solve by completing the square x^2-10x-24=0
Step-by-step explanation:
=x²-10x-24
=x²-4x+6x-24
=x(x-4)+6(x-4)
=(x-4)(x+6)
hope it helps.
PLLLS helpppp mee this is due now T-T
Answer:
Step-by-step explanation:
Answer:
= 2 and 5
Step-by-step explanation:
( 4 - 7x ) + ( 2x - 2 ) = 0
4 - 7x = 2x - 2 = 0
-7x -2x - 2 + 4 = 0
-5x - 2 = 0
-5 x = 0 or -2 = 0
x = 5 x = 2
PLZZZ HELP ME OUT........................ PLZZ
Answer:
a) constant of proportionality is 3/5
b) 3.5cm per 1 minute
c) 21 cm water in trough after 6 min
d) 70 cm
Step-by-step explanation:
d) 21 / 6 = x / 20
7 / 3 = x / 20
2x = 140
x = 70
One less than five times a number is fewer
than twenty-four.
Answer:
x < 5
Step-by-step explanation:
[tex]5x - 1 < 24\\5x < 25\\x < 5[/tex]
Answer:
any number under 5
Step-by-step explanation:
5(5) -1 =24
so anything under that would equal fewer than 24
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