Answer:
b(a+c)
Step-by-step explanation:
Due to ab and bc sharing b as a factor, we take that out and get b(a+c).
Hope this helped!
Tommy goes swimming every 12 days and hiking every 5 days. He did both today, how many days from now will he do both again? How many times in a year does he do both?
How much is the annual tax for the plot ? HELP PLEASE ❤️ !!!
Answer:
it's 50 look at the height and look at the width
find the value of x and y on the following triangles given that aabc axyz 2 14.4 y x b 12 13 yx c x=y=
Suppose that you have 12 identical balls and 3 empty boxes. You randomly put every ball into some box. What is the probability that none of the boxes have more than 6 balls?
Answer:
the probability that none of the boxes have more than 6 balls is 0.3077
Step-by-step explanation:
Given that;
12 balls are put into 3 boxes randomly, without ay condition
so we will be using the multinomial formula;
⇒ [ 12 + 3 - 1 [ 14
3 - 1 ] = 2 ] = 91
now, assuming that one of the box has more than 6 balls that is at least 7 balls
x + y + z = 12
x + y + z = 7
therefore
x + 7 + y + z = 12
x + y + z = 5
therefore the number of the solution here computed as;
⇒ [ 5 + 3 - 1 [ 7
3 - 1 ] = 2 ] = 21
Hence, the probability that none of the boxes have more than six (6) balls will be;
= (91 - (3 × 21)) / 91
= (91 - 63) / 91
= 28 / 91
= 0.3077
Therefore the probability that none of the boxes have more than 6 balls is 0.3077
16. Devon answered 23 out of 25 problems on a math test correctly. What percent of the problems did Devon answer correctly?
Answer:
92%
Step-by-step explanation:
100/25= 4
4 x 23 = 92
Solve the equation 10x+14= - 2x+38 explaining all the steps of your solution.
Answer:
x=2
Step-by-step explanation:
10x+14 = -2x+38 add 2x to both sides
10x +2x +14 = -2x +2x +38
10x +2x +14 = 38 subtract 14 from both sides
10x +2x +14 -14 = 38 -14
10x +2x = 38 -14 combine like terms
12x = 24 divide both sides by 12
12x/12 = 24/12
x =2
Answer:
x = -2
Step-by-step explanation:
10x + 14 = -2x + 38
Subtract 14 from both sides:
10x + 14 - 14 = -2x + 38 - 14
10x = -2x - 24
Add 2x to both sides
10x + 2x = 2x - 2x - 24
12x = -24
Divide both sides by 12
12x/12 = -24/12
x = -2
I need help
please help me
Answer:10
Step-by-step explanation:
because it takes 10 to get to each 5 for example to get to negative 5 to positive 5 you need 10.
The slope of the line that passes through the points (-6, w) and (-10, 4) is 1/4.
What is the value of w?
Can someone help me and explain how to do it.
Answer:
uhhhhhhh you have to figure out what x is then choose wether it is the other variable a dependent variable, and explanatory variable, or a response variable
Step-by-step explanation:
easy as that
Question 1)k = 6
O A x = 6y
О В 6 = ух
O C y = 6x
O D y = 1/6x
Answer:
If the given equation is
[tex]y = 6x[/tex]comparing with [tex]y = kx[/tex]
so k = 6Therefore, the option [tex]C[/tex] is correct.
Step-by-step explanation:
Given
k=6We know when [tex]y[/tex] varies directly with [tex]x[/tex], means that when x increases, y increases by the same factor
i.e.
y ∝ x
[tex]y = kx[/tex]
where k is the 'constant of proportionality.
[tex]k\:=\:\frac{y}{x}[/tex]
If the given equation is
[tex]y = 6x[/tex]comparing with [tex]y = kx[/tex]
so k = 6
Therefore, the option [tex]C[/tex] is correct.
quadrilateral army is rotated 90° about the origin
A student reads 56 pages in 4 hours. How many pages will the student read in 7 hours? Do these
quantities (number of pages read and time) vary directly or inversely? Find the constant of
variation.
Answer:
98
Step-by-step explanation:
the time taken is directly proportional and so we multiply 7 by 56 and the divide the answer by 4 to get 98
1) Tanx + Tan2x + Tan3x = Tanx.Tan2x.Tan3x
3
Answer:
[tex]x = \frac{2}{3}n\pi[/tex]
Step-by-step explanation:
Given
[tex]Tanx + Tan2x + Tan3x = Tanx.Tan2x.Tan3x[/tex]
Required
Find x
Equate the given expression to 0
[tex]Tan\ x + Tan\ 2x + Tan\ 3x - Tan\ x\ .Tan\ 2x\ .Tan\ 3x = 0[/tex]
Factorize:
[tex]Tan\ x + Tan\ 2x + Tan\ 3x(1 - Tan\ x\ .Tan\ 2x) = 0[/tex]
Subtract both [tex]Tan\ 3x(1 - Tan\ x\ .Tan\ 2x)[/tex] from both sides
[tex]Tan\ x + Tan\ 2x + Tan\ 3x(1 - Tan\ x\ .Tan\ 2x) - Tan\ 3x(1 - Tan\ x\ .Tan\ 2x) = 0 - Tan\ 3x(1 - Tan\ x\ .Tan\ 2x)[/tex]
[tex]Tan\ x + Tan\ 2x = - Tan\ 3x(1 - Tan\ x\ .Tan\ 2x)[/tex]
Divide both sides by: [tex](1 - Tan\ x\ .Tan\ 2x)[/tex]
[tex]\frac{Tan\ x + Tan\ 2x}{(1 - Tan\ x\ .Tan\ 2x) } = - Tan\ 3x[/tex]
In trigonometry:
[tex]Tan(3x) = Tan(x + 2x) = \frac{Tan\ x + Tan\ 2x}{(1 - Tan\ x\ .Tan\ 2x) }[/tex]
So,
[tex]\frac{Tan\ x + Tan\ 2x}{(1 - Tan\ x\ .Tan\ 2x) } = - Tan\ 3x[/tex]
is equivalent to:
[tex]Tan\ 3x = - Tan\ 3x[/tex]
Collect Like Terms
[tex]Tan\ 3x+Tan\ 3x = 0[/tex]
[tex]2Tan\ 3x = 0[/tex]
Divide through by 2
[tex]Tan\ 3x = 0[/tex]
In trigonometry:
If
[tex]Tan\ x= 0[/tex] ,
Then [tex]x=2n\pi[/tex]
Where [tex]n \ge 0[/tex]
So, in this case:
[tex]3x = 2n\pi[/tex]
[tex]x = \frac{2}{3}n\pi[/tex]
If twelve juice boxes cost $4.20, how much would fifteen juice boxes cost?
Answer:
12=$4.20
15=x$ crisscross
12*(x$)/15*$4.20
= 15*4.2/12=x
x=5.25$
Answer:
Step-by-step explanation:
12=4.20
15=x
x=15*4.20/12
x=63/12
x=5.25
At the beginning of year 1, Bode invests $250 at an annual simple interest rate of 3%. He makes no deposits to or withdrawals from the account. Which explicit formula can be used to find the account's balance at the beginning of year 14? What is the balance?
Answer:
A(n)=250+(n-1)(0.03*250);$347.50
The required explicit formula that represent the account's balance at the beginning of year 14 is given as Amount = 250(1 + 0.03(n - 1)).
Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.
Here,
Balance after 1 year of deposit is given by,
Amount = principal(1 + r%)
Amount = 250(1 + 0.03)
Now,
at the end of the n years, Amount is given as,
Amount = 250 ( 1 + 0.03n)
Now. At the starting of the nth year, amount is given as,
Amount = 250(1 + 0.03(n - 1))
Now, put n = 14 in above formula,
Amount = 250(1 + 0.03(14 - 1))
Amount = 4347.5
Thus, The required explicit formula that represent the account's balance at the beginning of year 14 is given as Amount = 250(1 + 0.03(n - 1)) ,
Learn more about simple interest here:
https://brainly.com/question/26457073
#SPJ2
a. use the appropriate formula to find the value of the annuity
b. find the interest
periodic deposit:
$120 at the end of every six months
rate: 5.5% compounded semiannually
time: 25 years
Answer:290390
Step-by-step explanation:
if anybody can anwser this, please!
Answer:
33
Step-by-step explanation:
Just add the outside numbers that go around the shape
Answer:
Hi!
The answer is 33
Step-by-step explanation:
All you have to do is add up the numbers on the outside.
Hop this helps! Good Luck!!
Anna has an online checking account at Garden City Bank. Her balance at the beginning of February was $5,195.65. During the month, she made deposits totalling
$6,873.22, wrote checks totalling c dollars, was charged a maintenance fee of $15, and earned $6.05 in interest. Her balance at the end of the month was $4,200.00. What is
the value of c?
Answer:
7,859.92
Step-by-step explanation:
Add up the additions starting with what she started off with in the bank and subtract 4,200.00
-8.+2 look at the pic
Answer:
-16
Step-by-step explanation:
-8 X positive 2
Answer:
-16
Step-by-step explanation:
When you multiply a negative number with a positive number, the result would be a negative number.
-8 × -2 = -16
2.50p+3b=358 Solve for p.
Answer:
p=143.2-1.2b
Step-by-step explanation:
Subtract 3b; 2.5p=358-3b
divide by 2.5; 143.2-1.2b
Help me pleeeeeasssseeeeeeee
Answer:
she gives her sister 6
1/4 of 16 is 4
16-4 is 12
12/2 is 6
help it’s due in 10 min the second question not the first one
30 POINTS!! my back hurts
Answer:
which questions do you want to ask
Step-by-step explanation:
sorry but I didn't know
A kite 100 ft above the ground moves horizontally at a speed of 5 ft/s. At what rate (in rad/s) is the angle (in radians) between the string and the horizontal decreasing when 200 ft of string have been let out?
Answer: [tex]= 0.013 rads^{-1}[/tex]
Step-by-step explanation:
given data:
speed of kite = 5 ft/s
height of the kite = 100 ft above the ground.
decrease = 200 ft
Solution:
[tex]\frac{dy}{dx} = 5 ft/s\\\\\\[/tex]
θ = [tex]arcsin \frac{100}{200}[/tex]
next we relate θ and x with respect to time t.
[tex]\frac{x}{100} =[/tex] cot θ
[tex]0.01\frac{dx}{dt} =-csc^{2}[/tex] θ[tex]\frac{d}{dt}[/tex]
[tex]\frac{d}{dt} = \frac{0.01\frac{dx}{dt} }{-csc^{2} \frac{\pi }{6} }[/tex]
[tex]= \frac{0.01(5)}{-csc^{2}\frac{\pi}{6} }[/tex]
[tex]= \frac{0.05}{-2^{2} }[/tex]
[tex]= 0.013 rads^{-1}[/tex]
Which number is a factor of 51?
07
11
17
26
Answer:(C) 17
Step-by-step explanation:(c) after some research its what I've seen people say
best of luck!
name of devices is used for drawing curves which can't be drawn by a compass
James is two years older than his brother Tom and three years younger than his sister Sharon. The sum of their ages is 70. What are the ages of the three siblings?
Answer: James is 23. Tom is 21. Sharon is 26
Step-by-step explanation:
now you can compare the functions in each equation what do the slope and y-intercept represent in the terms of situation
Answer:
The slope represents the amount of weight the puppy gains each week. The y-intercept represents the puppy's starting weight.
Step-by-step explanation:
Camille's puppy:
slope: 0.5
y-intercept: 1.5
Camille's puppy started at 1.5 pounds and gains 0.5 pound every week.
Olivia's puppy:
slope: 1
y-intercept: 4
Olivia's puppy started at 4 pounds and gains 1 pound every week.
Determine the equation of the line that has an x intercept of 5 and y intercept of 7
Answer:
y = −1.4x + 7
Step-by-step explanation:
There are 3 steps to find the Equation of the Straight Line
1. Find the slope of the line
2. Put the slope and one point into the "Point-Slope Formula"
3. Simplify
What is the percent of decrease from 65 to 0?
Answer
100%
Explanation
To get from 65 to 0, you subtract 65.
65 is 100% of 65, so there is a 100% decrease.
The percent of decrease from 65 to 0 is 100% because 65 completely becomes zero and percent is the ratio of two numbers expressed in the fraction of 100.
What is the percentage?It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.
We know the percent in increase can be evaluated by:
[tex]\rm Percent \ decrease= \frac{Old \ value - New \ value}{Old \ value}\times100[/tex]
[tex]\rm Percent \ of \ decrease = \frac{65-0}{65} \times100[/tex]
Percent of decrease = 100%
Thus, the percent of decreased from 65 to 0 is 100% because 65 completely becomes zero and percent is the ratio of two numbers expressed in the fraction of 100.
Learn more about the percentage here:
brainly.com/question/8011401
#SPJ2
