2 - 6k = 5 - 3k - 12 k =
Answer:
k = 3
Step-by-step explanation:
2 - 6k = 5 - 3k -12
Add like terms at RHS
2 - 6k = -3k - 7
Add 6k to both sides
2 - 6k + 6k = -3k - 7 + 6k
2 = 3k - 7
Add 7 to both sides
2 +7 = 3k
9 = 3k
Divide both sides by 3
9/3 = 3k/3
3 = k
k = 3
There are 958 students in Central High
School. There are 50 more girls than boys.
How many boys are there?
Answer:
Step-by-step explanation:
958/2=479= half of the students
479-50=429
There are 429 boys
Order the following from least to greatest. 0.208, 0.0769, 0.546, 0.317, 0.00998
What is the denominator For these problems ?
Answer:
10, 6, 6, 12, 8, 3, respectively
Step-by-step explanation:
The denominator is the bottom number in a fraction.
(2/3)to the power of 4=16/81
how to get this answer?
3.) Yvonne's hourly wage is raised from $11.09 per hour to $12.35 per hour. She works 40 hours
per week. How much more does she earn per week at the new rate?
Answer: She earns 50.4 much than she did on her other pay per hour.
Step-by-step explanation: First multiply 11.09 by 40, you get 443.6, then multiply 12.35 by 40 you get 494.0, so then you subtract the two total paychecks, and that's how you get the answer 50.4, more money.
Hope this helps. :)
A 150 foot fence encloses a garden. What is the length of each side of the garden?
Solve for x. 6x−24=x−2
Answer:
22/5
Step-by-step explanation:
6x-24=x-2
6x-x=-2+24
5x=22
x=22/5
Find the slope of the line.
Step-by-step explanation:
_6,_3 I hope this help it like it should (_6,2) (_1,0)
4. In a right triangle, the hypotenuse is 3 times the length of the shorter leg. The longer leg is 5cm. Find the length of the hypotenuse.
Answer:
sguubztg mp and former president elect of couple of couple have started to download the books and Brave new home in school and Brave people to subscribe our own home
Bowlero Lanes charges $4.50
per game of bowling for each
person. They also charge a flat
fee of $2.25 to rent bowling
shoes. If you rented shoes and
spent a total of $20.25, how
many games did you bowl?
O 2.25x + 4,50 - 20.25
O =
2.25x + 20.25 = 4.50
O 4.50x + 2.25 = 20.25
O
4.50x -2.25 = 20.25
Answer:
4.50x + 2.25=20.25
this should be it
Answer:
4.50x+2.25=20.25
Step-by-step explanation:
4.50*4=18+2.25=20.25
x^2-7x=0 solve the equation
Answer:
x = 0, 7
Step-by-step explanation:
Step 1: Write out equation
x² - 7x = 0
Step 2: Factor out x
x(x - 7) = 0
Step 3: Find roots
x = 0
x - 7 = 0
x = 7
Answer:
x = 0, 7
Step-by-step explanation:
x²-7x = 0x(x-7) = 0x = 0 & x =7A.
Write an expression for the perimeter?
B.
Write an expression for area
C.
Write Both as equations
Answer:
A. x+2+x+2
B. 2(x)
C. x+2+x+2=p
2(x)= a
Please help.
2/3x - 4 = -2
A) -3
B) -4
C) -9
D) 3
Answer:
D) 3carollnx talk me
............ that is the correct options
Answer:
D) 3be confident to answer any questions
2. Jason wants to plant 54 carrot seeds and 27 onion bulbs. He would like to plant them so that there are the same number of plants in each row, and each row only has one type of plant. a. What is the greatest number of plants he can have in each row? SHOW YOUR WORK b. How many rows of carrots will he have? Onions? SHOW YOUR WORK
I need to change the subject to x
(x - 4y) / w = 9
Multiply both sides by w
x - 4y = 9w
Add 4y to both sides
x = 9w + 4y
Josh and Karen live 20 miles apart and at exactly 2 pm, both decide to ride their bikes towards each other's houses so that they can meet on the path somewhere in between. Josh rides at an average speed of 15 miles per hour and Karen rides at an average speed of 10 miles per hour. If Josh takes a 10 minute break after he starts to look at some birds while Karen rides the whole time, how many miles from Karen's house will they meet?
Answer:
They will meet at a distance 9 miles from Karen's house.
Step-by-step explanation:
Let the distance covered by Josh be [tex]S_{1}[/tex] and the distance covered by Karen be [tex]S_{2}[/tex]
The distance between Josh and Karen's houses is 20 miles. That is, the total distance both of them will cover is 20 miles.
Hence, [tex]S_{1} + S_{2} = 20 miles[/tex]
From the question, if Josh takes a 10 minute break after he starts while Karen rides the whole time, this means
If Karen rides for a total of [tex]t[/tex] mins, then Josh would spend [tex]t-10[/tex] mins for the journey
Also, Josh rides at an average speed of 15 miles per hour
and Karen rides at an average speed of 10 miles per hour
Now, for Josh
Distance = [tex]S_{1}[/tex]
Speed = 15 mile/hour (Covert to mile/minute); (NOTE: 1 hour = 60 mins)
Speed= 0.25 mile/min
Time spent = [tex]t - 10[/tex] mins
From
[tex]Speed =\frac{Distance}{Time}[/tex]
Distance = Speed × Time
Distance = 0.25 mile/min × (t-10) min
[tex]S_{1}[/tex] = 0.25(t-10) mile
[tex]S_{1}[/tex] = 0.25t - 2.5
t = ([tex]S_{1}[/tex] + 2.5) / 0.25 ....... (1)
For Karen,
Distance = [tex]S_{2}[/tex]
Speed = 10 mile/hour (Covert to mile/minute);
Speed= [tex]\frac{1}{6}[/tex] mile/min
Time spent = t
[tex]Speed =\frac{Distance}{Time}[/tex]
Distance = Speed × Time
Then, [tex]S_{2}[/tex] = [tex]\frac{1}{6}[/tex] mile/min × t min
[tex]S_{2}[/tex] = [tex]\frac{1}{6}t[/tex] mile
t = 6[tex]S_{2}[/tex] ......... (2)
Equating equations (1) and (2), we get
([tex]S_{1}[/tex] + 2.5) / 0.25 = 6[tex]S_{2}[/tex]
Then,
([tex]S_{1}[/tex] + 2.5) = 1.5[tex]S_{2}[/tex]
Recall that
[tex]S_{1} + S_{2} = 20 miles[/tex]
Then, [tex]S_{1} = 20 - S_{2}[/tex]
∴[tex]20 - S_{2}[/tex] + 2.5 = 1.5[tex]S_{2}[/tex]
2.5[tex]S_{2}[/tex] = 22.5
[tex]S_{2}[/tex] = 22.5 / 2.5
[tex]S_{2}[/tex] = 9 miles
This means Karen covers a total distance of 9 miles
Hence, they will meet at a distance 9 miles from Karen's house.
Greg mixes 10 cans Black paint with 16 cans of white paint to get a gray paint. How many cans of black paint will he need to mix with 96 cans of white paint to get the same gray color?
Answer:
60 cans
Step-by-step explanation:
96 divided by 16 is 6
10 time 6 is 60
M little sister needs help with a geometry problem
Answer:
Segment bisector = KL
IJ = 11⅓
Step-by-step explanation:
Segment KL cuts segment IJ into two equal parts. Therefore the segment bisector of IJ is said to be segment KL.
Length of IJ:
From the figure given, the bisector divided the IJ into two equal parts. 1 part is given as 5⅔, therefore, the 2 parts joined together will give us lenght of IJ.
Thus, IJ = 2*5⅔ = 2 * 17/3 = 34/3 = 11⅓
Segment bisector = KL
IJ = 11⅓
What is the horizontal distance between the two points (-7,-4) and (12,-4)? Remember that distance is always positive! Hint: The horizontal distance is represented by the 1st number in each coordinate. What is the difference between -7 and 12?
==================================================
Explanation:
Draw out a number line. Plot -7 and 12 on the number line. Draw in the tickmarks between them. You should find the distance from -7 to 12 is 19 units since you need to go 19 spaces from either -7 to 12, or vice versa.
You can use subtraction to get
-7-12 = -19
or
12-(-7) = 12+7 = 19
The final result is made positive since negative distance does not make sense.
So you'd have |-7-12| = |-19| = 19 or |12-(-7)| = |19| = 19.
All of this only works because the two y coordinates are the same, which makes a horizontal line through the two given points.
Is (4,1) (8,1) (8,2) (12,2) (12,3) (16,4) (20,3) a function, yes or no?!
Answer:
No, it is not a function
Step-by-step explanation:
A function is where there is no two of the same domain.
The domain is the first coordinate.
Hope This Helps :)
Answer:
it not a function
Step-by-step explanation:
Since x = 12 produces y = 2 and y = 3, the relation
(4,1),(8,1),(8,2),(12,2),(12,3),(16,4),(20,3)
is not a function.
The relation is not a function.
Hope this help
Q
100%
Laurissa rolls two number cubes, each with the numbers 1 through 6. Laurissa adds the numbers that appear on the roll.
Which two sums have an equal chance of occurring?
A. 3 and 11
B. 4 and 7
C. 5 and 8
D. 6 and 9
Answer:
Step-by-step explanation:
it’s B
7 and 4 is the only number that has a unique chance. The correct option is B.
What are permutation and combination?Combination and permutation are two different ways of grouping elements of a set into subsets in mathematics. The elements of the subset can be listed in any order in a combination. The elements of the subset are listed in a specific order in a permutation.
Let's analyze the possible sums of both dice, using the notation:
Dice₁ + Dice₂ = sum.
Also remember that we have 2 dice, with 6 options each. The total number of combinations is 6 x 6 = 36. we have 36 possible outcomes.
I will start at the extremes, the minimum that we can sum is 2, and the maximum is 12, then:
We can have 2 if:
1 + 1 = 2
Only one permutation.
and 12 if:
6 + 6 = 12
Again, only one permutation.
so 2 and 12 have the same chance (1 out of 36)
now, to have 3 we can have the:
2 + 1 = 3
1 + 2 = 3.
and to have 11
5 + 6 = 11
6 + 5 = 11
Again, 3 and 11 have the same probability (2 out of 36 options)
And now we can see a pattern.
4 and 10 will have the same chance.
5 and 9 will have the same chance
6 and 8 will have the same chance
7 is the only number that has a unique chance (and it has the largest one)
To know more about permutation and combination follow
https://brainly.com/question/17694869
#SPJ5
Twelve more than x is greater than fourteen
Answer:
x > 2
Step-by-step explanation:
12 + x > 14
x > 14 - 12
x > 2
e
rational
irrational
Answer:
irrational
Step-by-step explanation:
explain briefly what you understand by each of the following techniques of investment appraisal.
1. profitability index
Answer:
Is Calculated by dividing the present value of future cash flows that will be generated by the project by the project
Step-by-step explanation:
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What are the numerical measures of each angle?
Answer:
<1 and <3 equal 29 degrees
<2 ans <4 equal 151 degrees
Step-by-step explanation:
instructions in pic :)
a repairman works 70 hours. charges $75 plus $40 per hour. What is the y intercept
Answer:
40
Step-by-step explanation:
Find the equation of the line through (10, 4) that is parallel to the line with the equation
y = -1x + 3. Give the equation in standard form.
Answer:
x + y = 14
Step-by-step explanation:
The question asks for the final answer to be an equation in standard form. The standard form of the equation for a line is ...
ax +by = c
where a, b, c are integers with no common factors, and 'a' is positive.
__
When working with parallel and perpendicular lines, standard form is an easy form to work with. The coefficients (a and b) of parallel lines will be the same. All that is different between parallel lines is the value of 'c'.
Given this fact, it is convenient to start by putting the given equation into standard form. For that, we want the x-term on the same side of the equal sign as the y-term.
Adding x to both sides of the given equation puts it in standard form:
x +y = x +(-x) +3
x + y = 3 . . . . . simplified
__
Now that we know our equation will be of the form ...
x + y = (some constant)
we need to find the constant. We can do that by using the given point values for x and y.
For the given point (x, y) = (10, 4), the constant for the parallel line will be ...
x + y = 10 + 4 = 14
x + y = 14 . . . equation of parallel line through (10, 4)
a survey of 800 people who binge-watch were asked how many episodes is too many to watch in one viewing session. the results are displayed in the bar graph. explain how this graph is misleading
Answer:
The graph is misleading because the vertical scale is not even. It goes from 0 to 15 and then thereafter the scale reverts to a scale of 5.
This is misleading because had the graph gone in a scale of 5 from the get go, the number of people who thought 3-4 episodes were too much would have looked higher in the graph as they seem to comprise of about 5% of the sample population.
The scale should begin at 0 and then go like 5 ⇒ 10 ⇒ 15 ⇒ 20 ⇒ 25 ⇒ 30
janet has 30 classmates in her classrom 18 of those classmates are girls if there are a total of 500 students in her school how many students are girls
Answer:
11000
Step-by-step explanation:
Answer:
11000
Step-by-step explanation: