Answers
Related Questions
42 students and 6 faculty members at Byrd Middle school chose to retake their school pics .these #'s represent 1/12 of the students and 1/6 of the fuculty .what is the combined # of students and faculty members
Answers
Let s = # of students and f = # of faculty. We want to find s + f.
(1/12)s = 42. Mult. both sides by 12, we get s = 504.
(1/6)f = 6. Mult. both sides by 6, we get f = 36.
Then the total # of faculty and students combined is 504+36 = 540 (ans.)
Order the numbers from least to greatest. 2.1,−6/10,−9/4,−0.75, 5/3
Answers
-9/4, -0.75, -6/10, 5/3, 2.1
This is because -9/4 is equivalent to -2 1/4, which is less than all of the other numbers. -6/10 (-0.6) is greater than -0.75. 5/3 is less than 2, so it is not greater than 2.1.
If you pick a card at random from a well shuffled deck, what is the probability that your card is NOT a spade or a king
Answers
52
Now subtract the
13spades + 3 kings = 16
what is left
36 left
want 36
_____ ---------
total 52
answer: 36/52
The probability that a card randomly drawn from a well-shuffled 52-card deck is not a spade or a king is approximately 0.846 or 44 out of 52.
Explanation:In a well-shuffled deck of 52 cards, there are four spades and four kings. Therefore, there are 4 + 4 = 8 cards that could be a spade or a king. The probability that a randomly chosen card is a spade or king can be calculated as the number of favorable outcomes divided by the total number of outcomes. So, the probability is 8/52 or approximately 0.154.
However, the question asks for the probability that the card is not a spade or king. To find this, we calculate 1 minus the probability of drawing a spade or king. Therefore, the probability that a card randomly drawn from a well shuffle deck is not a spade or a king is 1 - 0.154 = 0.846 or 44/52.
Learn more about probability here:https://brainly.com/question/32117953
#SPJ3
Pre-Cal Help!! (Image Attached)
Answers
Check the picture.
For the moment let [tex]\displaystyle{ \cos\theta= \frac{8}{17} [/tex] (we make it positive since we are modeling using a triangle.)
Using the Pythagorean theorem, the length of the side opposite to angle [tex]\theta[/tex] is found to be 15 units.
We can see that the sine of theta is [tex]\displaystyle{ \sin\theta= \frac{opposite \ side}{hypotenuse}= \frac{15}{17} [/tex].
In the third quadrant, both sine and cosine of an angle are negative, so the actual values of the sine and cosine of theta are, eventually:
[tex]\displaystyle{ \sin\theta=- \frac{15}{17} [/tex], [tex]\displaystyle{ \cos\theta=- \frac{8}{17} [/tex].
Recall the double-angle identities (formulas):
[tex]\sin 2\theta=2\sin\theta\cos\theta[/tex], [tex]\cos2\theta=cos^2(\theta)-sin^2(\theta)[/tex].
Using these identities and the ratios found above, we have:
[tex]\displaystyle{ \cos2\theta=cos^2(\theta)-sin^2(\theta)=(- \frac{8}{17})^2-(- \frac{15}{17})^2=\frac{64}{289}-\frac{225}{289}=\frac{-161}{289}[/tex]
Similarly, applying the double angle formula for the sine we have:
[tex]\displaystyle{ \sin 2\theta=2\sin\theta\cos\theta=2\cdot(- \frac{8}{17})(- \frac{15}{17})=\frac{240}{289}[/tex]
[tex]\displaystyle{ \tan2\theta= \frac{\sin 2\theta}{\cos 2\theta}= \frac{\frac{240}{289}}{\frac{-161}{289}}= -\frac{240}{161} [/tex]
Answer:
[tex]\displaystyle{\cos2\theta=\frac{-161}{289}[/tex]
[tex]\displaystyle{ \tan2\theta= -\frac{240}{161}[/tex]
What comes next simplify 31/50,17/25,37/50,4/5,...
Answers
43/50
31/50=0,62
17/25=0,68(0,06 more)
37/50=0,74(0,06 more)
4/5=0,8(0,06 more)
43/50=0,86(0,06 more)
Next decimal should be 0,86
You need to find a fraction from the decimal 0,86
0,86=86/100=43/50
Simplify 4x^2+36/4x multiply 1/5x
Answers
------------
5
29x^2 / 5
Estimated tax on tires that cost $498 with a 6.25% sales tax
Answers
0.0625($498) = answer
Translate the expression into a word phrase. k + 12 A. a number less than 12 B. 12 more than a number C. the product of a number and 12 D. the quotient of a number and 12 im sucky ;-;
Answers
when you use the word "more than" it means addition. when you use the word "less than" it means subtraction. when you use the word "product of" it means multiplication. when you use "quotient of" it mean division.
hope that helps, God bless!
Which expression is a factor of 18x^2-15x+2 a) 3x-2 B) 9x-1 C) x-2 D)2x-1
Answers
= 6x(3x - 2) - 1(3x - 2)
= (6x - 1)(3x - 2)
The answer is a) 3x - 2
The expression (3x - 2) is a factor of the given expression 18x² - 12x - 3x + 2. The correct answer would be an option (A).
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The expression is given in the question, as follows:
18x² - 12x - 3x + 2
We have to determine the factor of the given expression.
As per the question, we have
18x² - 12x - 3x + 2
Factor out the above expression, and we get
6x(3x - 2) - 1(3x - 2)
(6x - 1)(3x - 2)
Thus, the expression (3x - 2) is a factor of the given expression.
Learn more about Expressions here :
brainly.com/question/21751419
#SPJ6
Write each number in standard form
9.03 x 10²
7.89 x 10³
4.115 x 10⁵
Answers
7.89x1000
4.115x100000
Which number is not in scientific notation? 1.10 ⋅ 103 4.0 ⋅ 1016 7.03 ⋅ 10−2 350 ⋅ 102
Answers
7 + 5r + 3 + 5 = 1 + 7r
Answers
15+5r=1+7r
-5r=-5r
15=1+2r
-1=-1
14=2r
7=r
15+5r=1+7r
14=2r
r=7
what is the absolute value of -5
Answers
Answer: +5
Explanation: When a problem is asking us to find the absolute value of a number, it's really asking us how far is that number from zero.
So the absolute value of -5 is really asking us
how far is -5 away from zero on a number line.
I have drawn a number line below and you can see that -5
is 5 units to the left of zero which means its 5 units from zero.
So the absolute value of -5 is +5.
A rectangular swimming pool has a volume of 2160 cubic feet. Water is being added to pool at a rate of about 20 cubic feet per minute. Use an equation in point-slope form to determine about how long it will take to fill the pool completely if there were already about 1200 gallons of water in the pool. Use the fact that 1 cubic foot of space holds about 7.5 gallons of water.
Answers
-> there is already 160 cubic ft. of water
y=20x+160
-> this is the equation
2160=20x+160
2000=20x
100=x
you need 100 cubic ft. more to finish filling the pool
A stone is thrown upward from ground level. With what minimum speed should the stone be thrown so as to reach a height of 49 feet?
Answers
[tex]v^2=u^2-2gs[/tex]
At maximum height, v = 0, we assume [tex]g = 32 ft/s^2[/tex] then we have:
[tex]0=u^2-2(32)(49)\\ \\u^2=3,136\\ \\ u= \sqrt{3,136} =56[/tex]
Therefore, the minimum speed that the stone should be thrown so as to reach a height of 49 feet is 56 feet per second.
The amount or money you earn at your job varies directly with the number of hours you work. How many hours will you need to work to earn $145 if you earn $21.75 for 3 hours?
Answers
If money you earn at your job varies directly with the number of hours you work. Then 20 hours will you need to work to earn $145 if you earn $21.75 for 3 hours
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
Amount or money you earn at your job varies directly with the number of hours you work
One can earn $21.75 for 3 hours
We need to find how many hours taken to earn $145.
To find this we form an equation.
Let x be the number of hours to earn 145
21.75/3=145/x
Apply cross multiplication
21.75x=3×145
21.75x=435
Divide both sides by 21.75
x=20
Hence, it took 20 hours to earn $145.
To learn more on Ratios click:
https://brainly.com/question/13419413
#SPJ2
Ninety-one students signed up for the skating club. Coach Link wants to form teams with the same number of members on each team, but says that is impossible: the only teams he can make are 91 teams of 1 or 1 team of 91. Is coach link correct?
Answers
Answer: he is not right
Nina wants to download games for her video game console. Older games cost $500 points and new releases cost 2000 points. Nina has 20,000 points to use. The equation 500a+2000b=20,000, where a is the number of older games and b is the number of new releases, models the situation. How many older games can she download if she downloads one new game? Four games?
Answers
(20000-2000)/500=36
(20000-8000)/500=24
what property allows you to conclude that 5x+7x=12x
Answers
Hope this helps
Evaluate (1/4)^—2-(5^0x 2)x1^-1
Answers
Also, your x 2 should be written x^2 (the square of x).
But maybe that's not what you meant!
Your apparent use of "x" to indicate "multiply" makes things harder and more confusing. Please use " * " ONLY to denote multiplication.
Let's try again. Here's what I think I see:
(1/4)^(-2) - 1*2*1^(-1) and here is the evaluation:
16 - 2 = 32
Practice typing in expressions like these and then try to get some critique from your teacher regarding where you are correct and where you are not.
if fifty cents is divided equally among three friends there will be some cents left how many cents will be left
Answers
This can be solved by dividing 50 by 3 (the amount of friends, you're spiting the money with.)
50/3=16.6667
We have to round down in order to get a whole number: 16
16*3=48
50-48=2
If 50 cents is divided equally among three friends, each would get 16 cents and there would be 2 cents left over.
Hope this helps.
-Benjamin
the absolute value of a negative number is 2.78 what is the distance on the number line between the number and it's absolute value
Answers
What is 69,000 rounded to the nearest hundred
Answers
Hope this Helps
What is 69,000 rounded to the nearest hundred?
To round to the nearest hundred, you need to know whether the number next to hundred's place is greater than 5 or lesser than 5. If its greater than 5, you need to round up. If its lesser than 5, you need to round down.
69,000 → The number 0 is in the hundred's place. Zero has no value so thus you will be rounding down.
69,000 ≈ 69,000.
Hope I helped (:
Have a great day!
what is the product (8 x 10^2) x (2.5 x 10^2)
a.2 x 10^2
b.2 x 10^3
c.2 x 10^4
d.2 x 10^5
Answers
Answer:
D) 2*10^5
Step-by-step explanation:
the question is in the picture below
Answers
A change in x of 2 from one row to the next gives a change in y of 6. For example, changing x from -3 to -1 gives a change in y from -8 to -2. Then the slope is
... slope = ∆y/∆x = 6/2 = 3 . . . . . the coefficient of x
Now, you can pick any row of the table to determine what the intercept value must be. For example, choosing x = 1, we have
... 4 = 3×1 + intercept
... 1 = intercept . . . . . . . subtract 3 from both sides of the equation
Now, you know your equation is
... y = 3x + 1
_____
Since this is a linear equation, the y-intercept at x=0 will be halfway betweeen the value of y at x=-1 and the value of y at x=1. That is (-2+4)/2 = 1, in agreement with our calculation above.
How many pounds are there in 2 and 3 over 4 tons? (1 ton = 2000 pounds)
Answers
2000
x
3
-6000 1/4 of 2000= 500 6000
+
500
________________
6500Lbs
Answer:
The correct answer is C ( 5500 )
Step-by-step explanation:
I pressed that on my test it was correct and the only options were
(A) 4075 ^_______________ \
(B) 5000 /
(C) 5505 <------------------------------------------------------ /
(D) 5575
THAT IS THE CORRECT ANSWER
A number is42,300 when you multiplied by 10. Find the product of this number and 500
Answers
I need to know how to write this as a decimal with all the steps and everything plzz
Answers
What percent of 300 is 0.6
Answers
Some things to ask yourself:
- How many hundreds are in 300?
- What do I need to multiply that number by to get 0.6?
There are 15 puppies in a photograph, and 11 of them have their eyes open. How many puppies have their eyes closed?
11 – c = 15
c – 11 = 15
15 + c = 11
11 + c = 15
Answers
The puppies have their eyes closed, 11 + c = 15.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Total puppies= 15
Puppies who opened their eyes = 11
let the number of puppies who have not open-end their eyes be c.
so, puppies have their eyes closed
c= 15 - 11
or, 11 + c = 15
Learn more about Equation here:
https://brainly.com/question/29538993
#SPJ2