-8 = m/3 + 2
Subtract 2 from both sides
-10 = m/3
Multiply both sides by 3
M = -30
Answer:
[tex]m=-30[/tex]
Step-by-step explanation:
[tex]-8=\frac{m}{3}+2[/tex] <-- Given equation
[tex]3(-8)=3(\frac{m}{3}+2)[/tex] <-- Step 1: Multiply both sides by 3 to eliminate the fraction
[tex]-24=m+6[/tex]
[tex]-24-6=m+6-6[/tex] <-- Step 2: Subtract both sides by 6 to isolate "m"
[tex]-30=m[/tex] <-- Final Solution
You are playing a board game and your playing piece begins the game at START. You roll a single number cube numbered 1 to 6 to find out how many spaces you can move. What are the possible outcomes of your first roll? 3 green spaces, 2 star spaces, 1 question mark space2 green spaces, 2 star spaces, 2 question mark spaces2 green spaces, 2 star spaces, 3 question mark spaces6 green spaces
Answer:
The answer is B.) 2 green spaces, 2 star spaces, 2 question mark spaces
Step-by-step explanation:
Just a "calculation," or rather, I did this question before.
Hope this helps!
(Can you mark me brainliest?)
Have a great day/night/afternoon!
- ❤ 7272033Alt ❤
if 7 men and 5 womean have applied for job and 3 applicants are randomly selected from the probability that 2 are men
The probability that 2 men are selected is 49/144
Probability is the likelihood or chance that an event will occur.
If 7 men and 5 women have applied for job, the total number of people that applied will be 12 people
Pr(2 men are selected) = 7/12 * 7/12Pr(2 men are selected) = 49/144Hence the probability that 2 men are selected is 49/144
Learn more on probabaility here:https://brainly.com/question/24756209
The probability for event A is 0.3, the probability for event B is 0.6, and the probability of events A or B is 0.8.
Why are the events not mutually exclusive?
A, The sum of P(A) and P(B) is less than P(A or B).
B. The product of P(A) and P(B) is less than P(A or B).
C. The product of P(A) and P(B) is not equal to P(A or B).
D. The sum of P(A) and P(B) is not equal to P(A or B).
The events are not mutually exclusive because D. The sum of P(A) and P(B) is not equal to P(A or B).
Given that
probability for event A, P(A) = 0.3. probability for event B, P(B) = 0.6.the probability of events A or B, P(A or B) = 0.8.For mutually exclusive events, P(A) + P(B) = P(A or B).
So, P(A) + P(B) = 0.3 + 0.6 = 0.9
P(A or B) = 0.8
Since P(A) + P(B) = 0.9 ≠ P(A or B) = 0.8
The events are not mutually exclusive.
So, the events are not mutually exclusive because D. The sum of P(A) and P(B) is not equal to P(A or B).
Learn more about mutually exclusive events here:
https://brainly.com/question/14660720
Answer:
C
Step-by-step explanation:
Hey mathematicians ! Can anyone help me with these problems please ! Will give brainly !
Answer:
77) YES , 78) YES , 79) NO , 80) YES
Step-by-step explanation:
77) 12/4=3 and 18/6=3 so YES
78) 30/6=5 and 40/8=5 so YES
79) 36/25=1.44 and 48/40=1.2 so NO
80) 15/5=3 and 13.8/4.6=3 so YES
Find the value of n:
(3√7)^5=7^n
The value of n in the equation (3√7)^5 = 7^n is 5.32288
How to find the value of n in the given equationIn the given equation (3√7)^5=7^n, n is solved as follows
(3√7)^5 = 7^n
= (3√7)^5 = 7^n
7.937253933^5 = 7^n
31502.96087 = 7^n
take ㏑ of both sides
㏑ 31502.96087 = n ㏑ 7
divide through by ㏑ 7
n = ㏑ 31502.96087 / ㏑ 7
n = 5.32287517
the value of n is 5.32288
Learn more about logarithm at:
https://brainly.com/question/25710806
#SPJ1
If x = 9, what is the value of 6(x - 2)?
Answer: 42
6(9-2)
= 6 * 7
= 42
Answer:
6(9-2)
=6×7
=42 ans
Step-by-step explanation:
I think it help you I also you understand it
How do you do the work on this problem I’ve been stuck in it for a couple hours now.
56.2 m
Step-by-step explanation:
We can solve for the maximum height by calculating the derivative of y with respect to time and then equating it to zero, i.e.,
[tex]\dfrac{dy}{dt} = 0[/tex]
then solve for the time t that satisfies the equation above. The expression for the height y is
[tex]y = 60t - 16t^2[/tex]
Taking the derivative of this expression, we get
[tex]\dfrac{dy}{dt} = 60 - 32t = 0 \Rightarrow t = \dfrac{60}{32} = 1.9\:\text{s}[/tex]
This means that at t = 1.9 s, the ball would have reached its maximum height. To determine this height, use this value for t in the the equation for y to get
[tex]y = 60(1.9\:\text{s}) - 16(1.9\:\text{s})^2 = 56.2\:\text{m}[/tex]
Match the description with the ratio. 1. There are four red bows out of ten bows. 6:10 2. There are three silver bows for every four red bows in a bag. 3:10 3. There are six blue bows and ten silver bows. 3:4 4. There are three black bows out of a bag of ten bows. 4:10 pls help daddy
Answer:
There are six blue bows and ten silver bows. = 6:10
There are four red bows out of ten bows. = 4:10
There are three black bows out of a bag of ten bows. = 3:10
There are three silver bows for every four red bows in a bag. 3:4
20x9 and I need help I don’t do math so can u help me
Answer:
180
Step-by-step explanation:
So you can get rid of the zero in the 20 for now and just solve 2 x 9, which is 18. Now you take the zero you got rid of earlier and put it at the end of 18 to get 180.
I hope this helps.
Answer:
180
Step-by-step explanation:
There is two ways you can do this. You can do:
20
x 9
180
This is because you multiply from right to left. 0 x 9 = 0 (anything x 0 always = 0.) And 2 x 9 = 18.
The second way takes a lot longer, but it works. You could do:
20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 = 180.
Hope this helps.
the product of seven non-zero factors. of which only three are positive. is
a) positive
B) negative
c) null
The answer is A
Step-by-step explanation: This is one of those sneaky questions where you think there is no definite answer, but don't despair. There is an answer. You have 7 numbers 3 of them are positive which means greater than 0. Let's pick them 345 = 60 That part's easy. Those 3 numbers give a plus result. Now try the other 4 numbers -3 -2 - 1-4 Do you see what's going to happen. You have -3* - 2 = 6 then you get - 1*-4 = 4 All of a sudden you get a positive result 6 * 4 = 24 60 * 24 = 1440 So the answer is any 3 plus numbers multiplied by 4 minus numbers gives a plus result.
Of 7 non-zero factors, 3 are positive, so the other 4 are negative. Multiplying two negatives gives a positive number. So on its own, the product of all the negatives is positive, and multiplying by the other 3 positive numbers makes the overall product positive.
A recipe calls for 2 tsp of oatmeal to make 7 protein bars.
How much oatmeal is needed to bake 27 protein bars?
A) 3 1/3 tsp
B) 9 tsp
C) 21 tsp
D) 81 tsp
Answer:
3 1/3 is the answer im pretty sure
Macy's is having an unbelievable sale this holiday season! All shirts are 205 off and all jeans are 25% off. How much would jeans cost after the sale if they had a price tag of $60?
Step-by-step explanation:
100% - 25% off = 75%
Here, 75% of the initial price X, is the sale price of jeans during the season which is $60.
75/100 × X = $60
75X/100 =$60
( cross multiply)
75X=100×60
75X= 6000
X=6000÷75
X= $80
Find the square (8m-7)^2
Answer:
64m^2 - 112m + 49
Step-by-step explanation:
You just do the math lol.
Answer:
64m^2 + 112m + 49
Step-by-step explanation:
I got it right in Grandpoint.
Let |u| = 10 at an angle of 45° and |v| = 13 at an angle of 150°, and w = u + v. What is the magnitude and direction angle of w?
|w| = 9.4; θ = 72.9°
|w| = 9.4; θ = 107.1°
|w| = 14.2; θ = 72.9°
|w| = 14.2; θ = 107.1°
Recall that for two vector x and y making an angle θ with each,
x • y = ||x|| ||y|| cos(θ)
If we replace y with x, we see that
x • x = ||x|| ||x|| cos(0) = ||x||² ⇒ ||x|| = √(x • x)
Using the last identity, the magnitude of w is
||w|| = √(w • w)
but since w = u + v, we have
w • w = (u + v) • (u + v)
The dot product distributes over sums and is commutative, so
w • w = (u • u) + (u • v) + (v • u) + (v • v)
… = ||u||² + 2 (u • v) + ||v||²
… = ||u||² + 2 ||u|| ||v|| cos(θ) + ||v||²
If u has a direction of 45° with the positive x-axis, v has a direction of 150°, then the angle between u and v is |45° - 150°| = 105°. So,
||w|| = √(||u||² + 2 ||u|| ||v|| cos(150°) + ||v||²)
… = √(10² + 2 • 10 • 13 cos(150°) + 13²)
… ≈ 14.2
Using the parallelogram rule for vector addition (see attached sketch), the sum of the angle between w and u and 45° is equal to the direction of w.
If φ is the angle between w and u, then
w • u = ||w|| ||u|| cos(φ)
… = 14.2 • 10 • cos(φ)
but we also have
w • u = (u + v) • u
… = (u • u) + (v • u)
… = ||u||² + ||u|| ||v|| cos(105°)
… = 10² + 10 • 13 • cos(105°)
… ≈ 66.4
Then
14.2 • 10 • cos(φ) ≈ 66.4
cos(φ) ≈ 0.467
φ ≈ 62.1°
and so the direction of w is 62.1° + 45° ≈ 107.1°.
add r to s, double the result, then multiply what you have by t
Answer:
(rs2) x t
Step-by-step explanation:
r+s=rs
rsx2=rs2
(rs2)xt
Answer:
2t(s+r)
Step-by-step explanation:
Add r to s
s+r
Double the result
2(s+r)
Multiply what you have by t
2t(s+r)
Loto begins at his back door and walk 8 yards east, 6 yards north, 12 yards east, and 5 yards north to the barn door. About how many yards less would he walk if he could walk directly from the back door to the barn door?
If he could walk directly from the back door to the barn door, he would walk 10.2 yards less.
First, let's define our coordinate axis, I will use north as the y-axis and east as the x-axis.
So let's assume that Loto begins at the point (0, 0).
Then:
He moves 8 yards east, to: (8yd, 0)He moves 6 yards north, to: (8yd, 6yd)He moves 12 yards east, to: (20yd, 6yd)He moves 5 yards north, to: (20yd, 11yd)So he walked a total of 8yd + 6yd + 12yd + 5yd = 33yd
So he just moves from (0, 0) to (20yd, 11yd), thus the displacement is:
[tex]D =\sqrt{(20yd - 0yd)^2 + (11yd - 0yd)^2} = 22.8ft[/tex]
So, if he could walk directly he would only walk 22.8 ft
The difference is:
33yd - 22.8yd = 10.2 yd.
He would walk 10.2 yards less if he could walk directly from the back door to the barn door.
If you want to learn more about displacements, you can read:
https://brainly.com/question/13271165
Solve the system of equations.
\begin{aligned} & -4x+3y = -2 \\\\ & y=x-1 \end{aligned}
−4x+3y=−2
y=x−1
Answer:
x = -1 ; y=0
Step-by-step explanation:
We plug in the y, from the second equation, in the first one. By doing so we obtain:
-4x +3(x-1) = -2
-4x + 3x - 3 =-2
-x = 1
x= -1
Now we take this value and plug it in the second equation:
y = 1-1 = 0
Solution:
(-1,0)
Mrs Ang bought k apples at 50% each from a supermarket. How much
change did she receive if she paid $10 to the cashier? Express your answer
in cents.
Answer:
The apples may have costed 0.50 cents each, and she may have bought 10, which would result in her paying 10 dollars, and receiving 5 dollars in change.
Step-by-step explanation:
Multiply 10 (the amount she gave to the cashier) by 0.50%, it equals 5, so that's how much she paid, and since she gave a 10 dollar bill, she should get 5 dollars in change.
T^T
The average annual cost (including tuition, room, board, books, and fees) to attend a public college takes nearly a third of the annual income of a typical family with college-age children (Money, April 2012). At private colleges, the average annual cost is equal to about 60% of the typical family's income. The following random samples show the annual cost of attending private and public colleges.
Private colleges: 52.8, 43.2, 45.0, 33.3, 44.0, 30.6, 45.8, 37.8, 50.5, 42.0.
Public colleges: 20.3, 22.0, 28.2, 15.6, 24.1, 28.5, 22.8, 25.8, 18.5, 25.6, 14.4, 21.8.
Required:
a. Based on your computation of the two sample means and the two sample standard deviations, find the degrees of freedom.
b. What is the point estimate of the difference between the two population means?
c. Develop a 95% confidence interval of the difference between the annual cost of attending private and pubic colleges.
Need help pls! Answer asap
Answer:
1. 50
2. 130
Step-by-step explanation:
If we number the angle opposite 2 as 3 we know that angle 3 is equal to the 130 already provided.
Therefore, resulting in number 2 being equal to angle 3.
If we know that angle 2 and 3 is 130, we should add the numbers together to get 260.
A circle has a degree of 360, so we minus 260 from the 360.
We would get 100, so we divide it by 2.
Thus, angle 1 would be equivalent to 50.
Hope this makes sense :)
Find the allowable height for the hypotenuse if the hypotenuse catheters are 4 cm and 9 cm
Answer:
L = 9.85 cm
Step-by-step explanation:
I guess you meant length for the hypotenuse. We just apply the pythagorean theorem:
L = [tex]\sqrt{(4 cm)^2 + (9 cm)^2} = \sqrt{16 cm^2 + 81 cm^2} = \sqrt{97 cm^2} = (circa) 9.85 cm[/tex]
Answer:
solutions given;
base:9 cm
perpendicular: 4 cm
hypotenuse:?
By using pythagorus law
hypotenuse^2: perpendicular^2+base^2
hypotenuse:[tex]\sqrt {4^2+9^2}[/tex]
hypotenuse:9.84cm
Is (9, –6) a solution to this system of inequalities?
17x + 12y > 19
10x + 5y > –13
Answer:
Yes
Step-by-step explanation:
( 9 , -6 )
17(9) + 12(-6) > 19
153 + (-72) > 19
81 > 19
10(9) + 5(-6) > -13
90 + (-30) > -13
60 > -13
F r e e points for people that is low on points :)
Answer:
im not low on points but thank you <3.
Step-by-step explanation:
Answer:
:) :) :) :) :) :) :) :) :) :)
Which of the following is a solution of x2+5x=-2
A.5+ √33
———-
2
B. 5+ √17
———-
2
C.-5+ √33
———-
2
D. 5+ √17
———-
2
x^2 + 5x = -2
x^2 + 5x + 2 = 0
We need to use the quadratic formula.
In the formula, a = 1, b = 5 and c = 2.
See picture for quadratic formula. Plug in the value for a, b, and c into the formula and do the math.
Jasmine is scuba diving at an elevation of −68.4 feet when her friend signals to come higher. Jasmine makes three ascents, each an equal distance, to reach an elevation of −15.6 feet, where her friend is located. What was Jasmine's elevation after her first ascent? Enter your answer as a decimal in the box.
Answer:
-35.2
Step-by-step explanation:
-68.4-(-15.6)= (-52.8)
-52.8÷3=(-17.6)
-52.8-(-17.6)=-35.2
Answer:-35.2
Step-by-step explanation:
Please help me with this
Answer:
The measure of <Y = 85 degrees
Step-by-step explanation:
you can solve this problem algebraically if you know that the sum of the interior angles of a triangle is 180 degrees.
if you add all of these angles and set them equal to 180, you can find what "a" is.
a+2a+a+10=180 so 4a+10=180 so a is 42.5 (which is equal to angle x)
then looking at all of the options, it can be seen that the first two options are incorrect because angle x is equal to 42.5 degrees.
you know that angle y is equal to 2a, so multiplying "a" by two, you can find that angle y is 85 degrees.
A permanent magnet d.c. motor has an armature resistance of 0.5 Ω and when a voltage of 120 V is applied to the motor it reaches a steady-state speed of rotation of 20 rev/s and draws 40 A. What will be (a) the power input to the motor, (b) the power loss in the armature, (c) the torque generated at that speed
Answer:
applied to the motor it reaches a steady-state speed of rotation of 20 rev/s and draws 40 A. What will be (a) the power input to the motor, (b) the power loss in the armature, (c) the torque generated at that speed
voltage of 120 V is applied to the motor it reaches a steady-state speed of rotation of 20 rev/s and draws 40 A. What will be (a) the power input to the motor, (b) the power
Equivalent ratios
6:3 X:12 18:x
[tex]2 \frac{2}{3} + 3 \frac{1}{3} + 1 \frac{2}{3} [/tex]
aaaaaaaaaadddddddd
~nightmare5474~
[tex]2\frac{2}{3} + 3\frac{1}{3} + 1\frac{2}{3} = 7\frac{2}{3} [/tex]
let's convert each mixed fraction into improper fractions. Therefore,
What are Improper fractions:Improper fractions are fractions that has the numerator bigger than the denominator.
[tex]2\frac{2}{3} = \frac{8}{3} [/tex]
[tex]3\frac{1}{3} = \frac{10}{3} [/tex]
[tex]1\frac{2}{3} = \frac{5}{3} [/tex]
Therefore,
[tex]\frac{8}{3} + \frac{10}{3} + \frac{5}{3} [/tex]
[tex] \frac{8}{3} + \frac{10}{3} + \frac{5}{3} = \frac{8 + 10 + 5}{3} = \frac{23}{3} [/tex]
Let's convert our answer back to mixed fractions
[tex]\frac{23}{3} = 7\frac{2}{3} [/tex]
learn more on fraction here:https://brainly.com/question/25412?referrer=searchResults
A bag of skittles contains 7 purple, 4 red, 6 yellow, and 5 green skittles. Randomly I will grab a skittle, eat it and then grab another to eat. What is the probability that I will get a purple and then red?
Answer:
The probability will be [tex]\frac{1}{2}[/tex], since there are a total of 11 purple and red Skittles and an overall total of 22 Skittles in the bag.