Answer:
To find the probability of picking two boys, we need to first know how many different ways she can pick the 7th and 8th grader.
There are 12 7th-graders and 8 8th-graders. So the total number of ways she can pick is:
12
×
8
=
96
To get two boys picked, there are 5 boys in the 7th-grade class and 4 in the 8th-grade class, so there are:
5
×
4
=
20
ways
Which gives us the probability of:
20
96
=
5
24
≅
21
%
Step-by-step explanation:
The base of a 14-foot ladder is 5 feet from a building, If the ladder reaches the flat roof, how tall is the building?
The height of the wall of the building is 13.067 feet.
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Given that the base of a 14-foot ladder is 5 feet from a building. The height of the building will be calculated as below:-
Applying the Pythagorean theorem to calculate the height of the building.
H² = P² + B²
14² = P² + 5²
P² = 14² - 5²
P = √171 = 13.07 feet
Therefore, the height of the wall of the building is 13.067 feet.
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The sum of six times a number and six is equal to the difference of the number and nine. FIND THE NUMBER ROUND YOUR ANSWER TO THE NEAREST INTEGER IF Necessary
Let the number be x
6a+6= a-9
collect the like terms
5a=-15
a= -3
6(-3) +6= -3 -9
-12= -12
The number is -3
solve in Equal Value Method.
1. y= -x+4
y=2x+1
Step-by-step explanation:
i guess that is the answer
The daily consumption C (in gallons) of diesel fuel on a farm is modeled by C = 30.3 + 21.6 sin(2Ď€t/365 + 10.9) where t is the time (in days), with t = 1 corresponding to January 1. What is the average daily fuel consumption? Which term of the model did you use? Explain.
The question is an illustration of the sine function.
The average daily fuel consumption is 30.3The vertical shift represents the average daily fuel consumptionThe function is given as:
[tex]\mathbf{C = 30.3 + 21.6\sin(\frac{2\pi t}{365} + 10.0)}[/tex]
A sine function is represented as:
[tex]\mathbf{y = a\sin(bx - c) + d}[/tex]
Where d represents the vertical shift.
In this case, d represents the average rate
So, the average daily fuel consumption is 30.3
The term that represents the average daily fuel consumption is the vertical shift of the sine function.
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PLEASE HELP, THE ONES THAT ARE IN GRAY ARE THE ANSWER CHOICES.
Answer:
C.140
Step-by-step explanation:
If half of the circle equals 70 students. Then one half of that would be 35 students. Since there are 2 sections that are 25% each piece is equal to 35 students. If we add the total number of students together. (70+35+35) We get 140 students.
1. 5 + x = -2
2. 8m = 48
Solve this problems giving brainliest
Answer: 1. x=-7 2. m=6
Step-by-step explanation:
1. 5 + x=-2
to get the x by itself, you need to subtract 5 from both sides
5-5 +x = -2-5
there for 0 + x = -7 which means x=-7
2. to get 8m to just m, you need to divide 8m by 8. and what you do to one side of the equation, you need to do to the other. therefore 8m/8=48/8 and 48/8=6. therefore m=6
Answer:
1. 5+x=-2
x=-2-5
x= -7
2. 8m=48
m= 48/8
m= 6
Please Mark BRAINLIEST as promised!
At a local print shop, 10 copies can be made for $4. At this rate, how how many copies
could be made for $34?
Fill out the table of equivalent ratios until you have found the value of x.
Answer:
85 copies
Step-by-step explanation:
use the comparison method
no. of copies. $
10 4
x. 34
4x = 34×10
x= 340/4
x= 85
the value of x is 85
Answer:
85 copies
Step-by-step explanation:
Number of copies for $4 = 10
Number of copies for $1 = 10 ÷ 4
Number of copies for $34 = [tex]\frac{10}{4}*34[/tex]
= 5*17
= 85 copies
ANSWER THE QUESTION CLEARLY PLZZ !!!
Likened :
8 h 45 min = 0845
0615 + 0845
= 1460
= 1500
It was the afternoon, so the day he leave Mbabane is Friday
#LearnWithEXO
Answer:
2hrs 30 mins on Friday or 2:30 in the afternoon on Friday
Step-by-step explanation:
it took the aero plane 8 h 45 minutes to travel
it reached its destination at 6 : 15 on Friday
to find the time and day it started, we just subtract the time it used to travel from the time and day it landed
which is;
8 45
-6 15
=2 30
that is 2hrs 30mins on Friday
3. Simplify the expression (x3 - 532 +7X - 12) = (x – 4) using long division. Show your work.
Answer.
Answer:
(3x+7x-532-12)=(x-4)
(10x-520)=(x-4)
10x-x=-4+520
9x=516
9x/9=516/9
x=57.333333
32 450 to nearest hundred
Answer:
32,500
Step-by-step explanation:
Explain or show work to prove that the following equation is true.6 x 8 = 3 x 2 x 2 x 2 x 2
Answer:
see explanation
Step-by-step explanation:
To prove the equation id true, solve both sides and if they are equal then the equation is true.
left side = 6 × 8 = 48
right side = 3 × 2 × 2 × 2 × 2
= 6 × 2 × 2 × 2
= 12 × 2 × 2
= 24 × 2
= = 48
Since both sides are equal then the equation is true
When x = 4, what is the value of y in the equation 3x - 2y = 6?
Answer:
The answer is 3
Step-by-step explanation:
Set up a proportion round to the nearest tenths. 26 is 380% of Wat number?
Answer:
10 percent is the answer
Which statement is correct
Answer:
statement B is correct.........
Which statement comparing |−12| and |8| is true?Which statement comparing |−12| and |8| is true?
Answer:
The second one
Step-by-step explanation:
Help me solve this evaluating expression
[tex] - 1 - 2(9) = - 1 - 18 = - 19[/tex]
pls help will give brainliest
Consider the function f(x) = 3x + 1 and the graph of the function g(x) shown below.
The graph g(x) is the graph of f(x) translated
units
, and g(x) =
.
Answer:
The graph g(x) is the graph of f(x) translated 2 units, Right and g(x)=f(x-2)
Step-by-step explanation:
Took the test got it right.
(Also I came here to get the answer, but I gave it instead.)
Subtract.
-3-6-(-1)
Plot the solution on the number line.
Answer:
-8
Step-by-step explanation:
Start by putting a dot on the number line at -3. As we are to subtract 6, start at -3 and move 6 units to the left, arriving at -9. Finally, recognizing that -(-1) = +1, move 1 unit to the right from -9, ending up at -8.
Given the system of equations, what is the solution?
2x + y = 7
2x - 3y = -1
Answer:
[tex](\frac{5}{2}, 2)[/tex]
Step-by-step explanation:
Hi there!
We are given this system of equations:
2x + y = 7
2x - 3y = -1
And we want to find the solution
There are multiply ways to solve systems of equations, but let's solve this one by elimination, where we will add the two equations together to clear one of them, solve for the un-cleared variable, and then use the value of the un-cleared variable to solve for the cleared one
Before clearing a variable, we need to make sure that the signs on the variables are opposites; for example, -3 and 3, which will add together to get 0
We can multiply the equations beforehand if needed in order to manipulate the numbers.
For example, we can multiply the second equation by -1 in order to switch the signs of each number in that equation:
-1(2x-3y=-1)
-2x+3y=1
Now the signs in front of x are 2 and -2, so we can add the equations together to clear them:
2x + y = 7
-2x + 3y = 1
Add the equations together
4y = 8
Divide both sides by 4
y=2
Now let's use 2 as y to solve for x
In the first equation, substitute 2 for y:
2x + 2 = 7
Subtract 2 from both sides
2x = 5
Divide both sides by 2
[tex]x=\frac{5}{2}[/tex]
As a point, the answer is [tex](\frac{5}{2}, 2)[/tex]
Hope this helps!
WILL MARK BRAINLIEST
Translate into expression
One-half the difference of thrice a number and four
Answer:
[tex]3x - 4[/tex] ÷ [tex]\frac{1}{2}[/tex]
What is the slope of the line x = -2?
Answer:
Since x=−2 is a vertical line, there is no y-intercept and the slope is undefined.
Step-by-step explanation:
eight hundred thirty four thousandths in decimal form:
The given number can be written as 0.834 in decimal form.
What is a decimal form?"Decimals are the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point."
Given number is eight hundred thirty four thousandth.
Here, thousandth is represented as [tex]\frac{1}{1000}[/tex].
Therefore, in decimal form the given number can be written as
[tex]\frac{834}{1000} \\= 0.834[/tex]
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Help please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
2(x+7)=72 no, because this only changes the value on the right side. so this equation is not about the same equality anymore.
x+7=18 yes, because both sides were transformed by the same operation (division by 2). the equality is still maintained.
2x+7=36 no, because 2x+7 is NOT equal to 2(x+7). resolving 2(x+7) is 2x+14.
x+14=36 no, because again, x+14 is NOT equal to 2(x+7).
(2×x) + (2×7) = 36 yes, because the left side is a valid transformation of 2(x+7).
2x+14=36 yes, because the left side is a valid transformation of 2(x+7).
Help me I need help on problem 6
Answer:
Mega-cleaner
Step-by-step explanation:
cleaner per quart. Per means to divide.
Solve for clean-all
[tex]1 \frac{1}{2} \div 2[/tex]
convert from a mixed number to an improper fraction. 2 x 1 + 1 = 3/2. make 2 a fraction 2/1
[tex] \frac{3}{2} \div \frac{2}{1} [/tex]
keep chang flip
[tex] \frac{3}{2} \times \frac{1}{2} [/tex]
multiply
[tex] \frac{3}{4} [/tex]
Mega -cleaner
[tex]3 \frac{1}{2} \div 4[/tex]
make an improper fraction and make 4 a fraction
[tex] \frac{7}{2} \div \frac{4}{1} [/tex]
keep change flip
[tex] \frac{7}{2} \times \frac{1}{4} [/tex]
multiply
[tex] \frac{7}{8} [/tex]
compare 3/4 and 7/8. find common denominators which is 8. change 3/4 to 8ths by multiplying by 2
[tex] \frac{3}{4} \times \frac{2}{2} = \frac{6}{8} [/tex]
7/8 is bigger than 6/8
solve for x
2x-y=r
(Show solving steps please)
Answer:
x=r/2+y/2
Step-by-step explanation:
2x-y=r
you want x all by itself, move y first by adding y
2x = r + y
divide both r and y by 2 to leave x all by itself.
2x/2 = r/2 + y/2
2/2 = 1 so it's really 1x
x= r/2 + y/2
What is the y-intercept:
7x + y = 10
Answer:
10
Step-by-step explanation:
7(0)+y=10
y=10
Answer: (0, 10)
Step-by-step explanation:
The given expression is in the standard form of linear equations: Ax + By = C, where A and B are constants.
The definition of y-intercept is the point that intersects with the y-axis, meaning that the [x] value of the point will be zero.
To find the y-intercept of an equation, substitute the [x] variable with 0, as mentioned above, the [x] value of a y-intercept is 0.
[tex]7x+y=10\\[/tex]
[tex]7(0)+y=10[/tex]
[tex]0+y=10[/tex]
[tex]y=10[/tex]
As we find the [y] value is 10, while the given [x] value is 0, therefore, the y-intercept of [tex]7x+y=10[/tex] is [tex]\boxed{(0,10)}[/tex].
Hope this helps!! :)
Please let me know if you have any questions
What is 30 Divided by 2.42
Answer: 12.3966942149
Step-by-step explanation: Just use the calculator next time, hope this helps.
Answer:
12.39669421
Step-by-step explanation:
30/2.42=12.39669421
Connie Hamm demonstrates microwave ovens at a home décor center . She is paid $35.00 per demonstration for the first 10 demonstrations and $ 45.00 for each demonstration over 10. Also , for every microwave sold , she earns $ 20.55 . What is Hamm's commission on a day in which she makes 12 demonstrations and 4 sales ?
Manuel wants 30 liters of a mixture of water and 10% lemon juice. He has a mixture of 8% lemon juice and a mixture of 20% lemon juice. How many liters of the 8% and 20% mixtures should he mix to get what he wants?
Manuel needs 20 liters of the 8% and 5 liters of 20% mixtures to be mixed so as to get 30 liters of a mixture of water and 10% lemon juice.
Let x represent the amount of 8% lemon juice in liters and y represent the amount of 20% lemon juice in liters.
Since Manuel wants to produce a 30 liters mixture from 8% lemon juice and 20% lemon juice, hence:
x + y = 30 (1)
Also, Manuel wants 30 liters of a mixture of water and 10% lemon juice, hence:
8% of x + 20% of y = 10% of 30 liters
0.08x + 0.2y = 3 (2)
Solving equation 1 and 2 simultaneously; multiply equation 1 by 0.2 and subtract equation 2 from the result:
0.12x = 3
x = 25 liters
x + y = 30
25 + y = 30
y = 5 liters
Manuel needs 20 liters of the 8% and 5 liters of 20% mixture
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A project calls for three pieces of wood. The longest piece must be twice the length
of the middle-sized piece. The shortest piece must be 10 in. shorter than the middle-
sized piece. If a board 70 in. long is to be used, how long can each piece be?
Answer:
70,35,25
Step-by-step explanation:
Let longest piece = a = 70
Let medium piece = b = 35
Let shortest piece = c = 25
a=2b
70=2b
35=b
c+10=b
c+10=35
c=25
