Answer:
34992.66
Step-by-step explanation:
nice to know!
3/4 of girls in sss1 play basketball and 4/7 play volleyball. Every girl plays at least one of these games. if 27 play both games how many girls are in the class
Answer:
84
Step-by-step explanation:
1/4 of class don't play basketball but do play volleyball
so 9/28 of class play both since 4/7 - 1/4 = 9/28
9/28 of class = 27
1/28 of class = 3
class = 3*28
There are 84 girls in the class.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Girls who plays basketball = (3/4)x
Girls who plays volleyball = (4/7)x
Girls who plays both games = 27
Now, Let us consider total girls in the class = x
So we can write it as mathematical equation as;
⇒ (3/4)x +(4/7)x - 27 = x
By taking L.C.M. -
⇒ (21x+16x)/28 - (27) = x
⇒ 37x/28 = x + 27
⇒ 37x = 28x + (27×28)
⇒ 9x = 27×28
⇒ x = (27×28)/9
⇒ x = 3×28
⇒ x = 84
So, There are total 84 girls in the class.
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1929 concert tickets were sold for a total of $31,062. If students paid $13 and nonstudents paid $20, how many student tickets were sold?
Answer:
answer is attached in the figure below hope it helps please mark it as brainlist
Your bill at the restaurant has total of 23.50. You received fantastic service from your server and would like to leave a 20% tip
Answer:
28.2
Step-by-step explanation:
Answer:
20% is 4.70
New total with tip = 28.20
Step-by-step explanation:
23.50 x .20
4.70
Simplify.
12 + 15 : 3x6 - 4
Answer:
Step-by-step explanation:
Divide the numbers
12+153⋅6−412+153⋅x6−412+315⋅x6−412+56−412+5x6−4 12+5x6−4
Andrea runs a fruit store. She started Sunday with 20 cherries in stock. During the day, she sold 17 cherries and got a shipment of fresh cherries. The shipment contained 4 times as many cherries as she started the day with. How many cherries does Andrea have in stock at the end off the day?
answer:
example
Answer:
Um.
Step-by-step explanation:
Could you give an example of what? Or no.?
Use a matrix to solve the system:
Answer:
(2.83 , 1 , 4)
Step-by-step explanation:
[tex]2x+2y-z=4\\4x-2y-2z=2\\3x+3y-4z=-4\\[/tex]
Rewrite these equations in matrix form
[tex]\left[\begin{array}{ccc}2&2&-1\\4&-2&-2\\3&3&-4\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\[/tex]
we can write it like this,
[tex]AX=B\\X=A^{-1}B[/tex]
so to solve it we need to take the inverse of the 3 x 3 matrix A then multiply it by B.
We get the inverse of matrix A,
[tex]A^{-1}=\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right] \\[/tex]
now multiply the matrix with B
[tex]X=A^{-1}B\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}7/15&1/6&-1/5\\1/3&-1/6&0\\3/5&0&-2/5\end{array}\right]\left[\begin{array}{ccc}4\\2\\-4\end{array}\right] \\\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}2.83\\1\\4\end{array}\right] \\[/tex]
Solve for x: 1/3 (x-22) = 4x
x = -2
x = 34
x = 2
x = -10
Answer:
x=-2
Step-by-step explanation:
cos(0)=square root 3/3, sin 0<0. what is the value of sin0
Answer:
sin θ = [tex]\frac{\sqrt{6} }{3}[/tex]
Step-by-step explanation:
Given that,
cos θ = [tex]\frac{\sqrt{3} }{3}[/tex]
From the trigonometric functions,
cos θ = [tex]\frac{adjacent}{hypotenus}[/tex]
⇒ adjacent = [tex]\sqrt{3}[/tex], and the hypotenuse = 3
Let the opposite side be represented by x, applying the Pythagoras theorem we have;
[tex]/hyp/^{2}[/tex] = [tex]/adj/^{2}[/tex] + [tex]/opp/^{2}[/tex]
[tex]/3/^{2}[/tex] = [tex](\sqrt{3} )^{2}[/tex] + [tex]x^{2}[/tex]
9 = 3 + [tex]x^{2}[/tex]
[tex]x^{2}[/tex] = 9 - 3
= 6
x = [tex]\sqrt{6}[/tex]
Thus, opposite side = [tex]\sqrt{6}[/tex]
So that,
sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
= [tex]\frac{\sqrt{6} }{3}[/tex]
Therefore,
sin θ = [tex]\frac{\sqrt{6} }{3}[/tex]
Each of four test scores in Connie’s class is to be weighted equally. On the first three tests, Connie scored 80%, 90% and 95%. What percent must she score on her fourth test to have an overall average of exactly 90%?
Answer:
95%is the answer
Step-by-step explanation:
Answer:
95%
Step-by-step explanation:
We can use the balancing method to do this.. first what is the total below 90?
The total is 10% because 90-80 which was the only percentage below 90 is 10%. Then, what is the total above 90?
The total is 5% because the only percentage above 90 is 95 and 95-90 is 5%
Now we use the balancing method to get from 5-10.
Using the balancing method we get 95%
Solve for y: 18x + 3y = 24
Answer: y=8-6x
Step-by-step explanation:
7x+8y=-23
3x - 16y= 29
Answer:
(-1, -2)
Step-by-step explanation:
Kaitlyn is sharpening a pencil that is 19 cm. Each time she sharpens it goes down 2.5 cm. If she sharpens her pencil 4 times. How many centimeters of pencil does she have left?
Answer:
9 cm
Step-by-step explanation:
2.5x4=10
What is the answer to this?
Answer:
65 reaminder 85
Step-by-step explanation:
u divided it and theres a big remainder so i did the two first reinders i found
How would you write 0.7 repeated as a fraction
Answer:
7/9
Step-by-step explanation:
7/9 = 0.777777777777777777...
0.7 repeated can be written as a fraction [tex]\frac{7}{9}[/tex].
What are Fractions?Fractions are defined as a part or portion in a whole. There are two parts for a fraction, numerator which is the upper part and the denominator, which is the lower part.
Fractions are generally written in the form [tex]\frac{p}{q}[/tex], where p and q are real numbers. Here, the number p is called the numerator and the number q is called the denominator.
Fractions can be simplified as decimals.
We have to find the fraction representing the number 0.7 repeated.
0.7 repeated is actually the number 0.77777.....
The quotient of 5/8 = 0.625
The quotient of 6/7 = 0.857...
The quotient of 7/9 = 0.777.......
The quotient of 7/100 = 0.07
So, the quotient of 7/9 is the required number.
Hence the fraction which on simplification gives 0.7 repeated is 7/9.
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If f(x)=|x−5|+2, find f(3)
Answer:
f(3) = 4
Step-by-step explanation:
The absolute value, |X|, is defined as the magnitude of a number without regard to its sign. For example, absolute value of 1 is 1 and absolute value of -1 is 1.
Thus, based on the function:
f(x)=|x−5|+2
f(3) = |3−5|+2
f(3) = |-2|+2
-Absolute value of -2 = 2-
f(3) = 2+2
f(3) = 4Given the equation [tex]\sqrt[2]{x-5} = 2[/tex], solve for x and identify if it is an extraneous solution.
x = 6, solution is not extraneous
x = 6, solution is extraneous
x = 11, solution is not extraneous
x = 11, solution is extraneous
Answer:
x = 6, solution is not extraneous
Step-by-step explanation:
If you go and plug in 6 then the equation works well and there are no extraneous solutions.
The amount of change that goes up
Answer:
rates of change, positive or negative
Step-by-step explanation:
which of the following is a quadratic function?
Answer:
A
Step-by-step explanation:
Y = ax2 +bx + c
6a) Choose yes or no to tell whether the GCF of 9 and 15 is 3.
Yes
Or
No
I will give brainliest
Find x and y, there is no given info, and the line that is 8 units long is not a midsegment, but it is parallel to the line that is ten units long
Answer:
x = 1.25
y = 1.75
Step-by-step explanation:
Since, the line that is 8 units long is parallel to the line that is ten units long.
Therefore, both the triangles are similar by AA postulate.
Corresponding sides of of the similar triangles are in proportion.
Therefore,
[tex] \frac{5}{x + 5} = \frac{7}{y + 7} = \frac{8}{10} \\ \\ \implies \frac{5}{x + 5} = \frac{8}{10} \\ \\ 5 \times 10 = 8(x + 5) \\ \\ 50 = 8x + 40 \\ \\ 50 - 40 = 8x \\ \\ 10 = 8x \\ \\ \frac{10}{8} = x \\ \\ x = 1.25 \\ \\ \\ \frac{7}{y + 7} = \frac{8}{10} \\ \\ 7 \times 10 = 8(y + 7) \\ \\ 70 = 8y + 56 \\ \\ 70 - 56 = 8y \\ \\ 14 = 8y \\ \\ \frac{14}{8} = y \\ \\ y = 1.75[/tex]
Find – 8-(-3). -8-(-3) =
Answer:
-5.5
Step-by-step explanation:
trapped in a cell that contains 3 doors. The first door leads to a tunnel that returns her to back tothe cell after 2 days of travel. The second door leads to a tunnel that returns her back to the cell after 4days of travel. The third door leads her freedom after 1 day of travel. If it is assumed that Ally will alwaysselect doors 1, 2, and 3 with probabilities 0.5, 0.3, and 0.2 (respectively), what is the expected number ofdays until she reaches freedom
Answer:
The expected number of days until prisoner reaches freedom is 12 days
Step-by-step explanation:
From the given information:
Let X be the random variable that denotes the number of days until the prisoner reaches freedom.
We can evaluate E(X) by calculating the doors selected, If Y be the event that the prisoner selects a door, Then;
E(X) = E( E[X|Y] )
E(X) = E [X|Y =1 ] P{Y =1} + E [X|Y =2 ] P{Y =2} + E [X|Y =3 ] P{Y =3}
[tex]E(X) = (2 + E[X])\dfrac{1}{2}+ (4 + E[X])\dfrac{3}{10}+ 1 (\dfrac{2}{10})[/tex]
[tex]E(X) = (2 + E[X])0.5+ (4 + E[X])0.3+ 0.2[/tex]
Solving for E[X]; we get
E[X] = 12
Which function could be represented by the graph on the
coordinate plane?
Answer:
f(x)=(x-8)^2 -6
Step-by-step explanation:
What is the prime factorization of 48?
Answer:
2x2x2x2x3
Step-by-step explanation:
Which value is equivalent to the expression 45?
Answer:
what value are you talking about
Step-by-step explanation:
Answer:
It's 1024
Step-by-step explanation:
5. [Statistical independence] Consider a month consisting of exactly 28 days, split into four weeks of seven days each, such that the first of the month is a Monday. One of the 28 days will be selected uniformly at random (so that each day has probability 1/28 of being selected). Event A is that the selected day is a Monday or Wednesday. Event B is that the selected day falls either in the first or third weeks of the month. Are A and B independent or not? Show your work.
Answer:
They are independent events
Step-by-step explanation:
For independent events;
Pr(A & B) = Pr(A) × Pr(B)
Given that:
A = day is Monday or Wednesday
Since we have four weeks and each week will have one Monday and Wednesday each,
Pr(A) = (8/28)
B = day falls in the first or third week
Since, first and the third week has a total of 14 days,
Pr(B) = 14/28
Therefore;
Pr(A) × Pr(B) = 8/28 * 14/28
Pr(A) × Pr(B) = 1/7
Now, A and B = day is either Monday or Wednesday, and it is in the first or third week
There are four such days, Thus Pr(A and B) = 4/28 = 1/7
Since, Pr(A and B) = Pr(A) * Pr(B),
A and B are independent events
A meteorologist predicted that there would be 1.0 inches of rainfall from a storm. Instead, there were 2.2 inches of rainfall. Which statements are true?
a
The prediction was off 35%
b
The percent error of the prediction was about 55%.
c
If the percent error should be less than 20%, the prediction was acceptable.
d
The difference between the predicted and the actual rainfall was 1.2 inches
Answer:
pls write the question clearly
Step-by-step explanation:
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The statements that is true: B. The percent error of the prediction was about 55%.
D. Difference between the predicted and actual rainfall was 1.2 inches.
What is the percentage error?Percentage error can be calculated using this formula;
Percentage error = Actual value observed - Expected value /Expected value
The Percentage error is;
= 2.2 - 1.0 / 2.2
Percentage error = 1.2 /2.2
Percentage error = 0.545 × 100
Percentage error = 55% (Approximately)
Since Difference between the predicted and actual rainfall;
Difference = Actual rainfall - Predicted rainfall
Difference = 2.2 -1.2
Difference = 1.2 inches.
Hence the correct statement is option B and D.
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2 3/4 2 11/12 in simplist form
Answer:
2 9/12 and 2 11/12
Step-by-step explanation:
if that is what u are asking. simplist form is 2 3/4 and 2 11/12.
Hope that helps and good luck :)
Plz help plz I’m begging I will give brainliest
Answer:
B is the answer.
Step-by-step explanation:
Answer:
The second one
Step-by-step explanation:
-2 and 1/4 is the same as -9/4 bec -9/4 is just in the improper form.
(can i get brainliest now)
just say something so that you can have my points :)
Answer:
thanks !!
Step-by-step explanation: have a wonderful day :)
Answer:
Thank you!!
Step-by-step explanation:
Have a great day:)