15 - 3k = 10(k-5)
Can someone please answer this
Answer:
k = 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
15 - 3k = 10(k - 5)
Step 2: Solve for k
Distribute 10: 15 - 3k = 10k - 50Add 3k to both sides: 15 = 13k - 50Add 50 to both sides: 65 = 13kDivide 13 on both sides: 5 = kRewrite: k = 5Step 3: Check
Plug in k into the original equation to verify it's a solution.
Substitute in k: 15 - 3(5) = 10(5 - 5)Subtract: 15 - 3(5) = 10(0)Multiply: 15 - 15 = 0Subtract: 0 = 0Here we see that 0 does indeed equal 0.
∴ k = 5 is a solution of the equation.
Answer:
k=5
Step-by-step explanation:
1. Apply distributive property: 15-3k=10k-50
2. Bring all variables to one side: 15-3k=10k-50
+3k +3k
15=13k-50
3. Isolate K by bring the term in it's way to the other side: 15=13k-50
+50. +50
65=13k
4. Isole your variable by divide by 13: 65=13k
65/13 13/13
5=k
Until the scale was changed in 1995, SAT scores were based on a scale set many years ago. For Math scores, the mean under the old scale in the 1990s was 470 and the standard deviation was 110. In 2013 the mean was 515 and the standard deviation was 116. Gina took the SAT in 1994 and scored 500 on the Math test. Her cousin Colleen took the SAT in 2013 and scored 530 on the Math test. Who did better relative to their peers, and how can you tell? Group of answer choices Colleen—she scored 30 points higher than Gina. Gina—the standard deviation was bigger in 2013. Gina—her standardized score is higher than Colleen’s. Colleen—her standardized score is higher than Gina’s.
Answer:
Gina—her standardized score is higher than Colleen’s.
Step-by-step explanation:
Until the scale was changed in 1995, SAT scores were based on a scale set many years ago.
We solve this question using z score formula also know as standardized score formula which is given as:
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
For Gina
Gina took the SAT in 1994 and scored 500 on the Math test.
For Math scores, the mean under the old scale in the 1990s was 470 and the standard deviation was 110.
x = 500
μ = 470
σ = 110
Hence, the z score is given as:
z = 500 - 470/110
z = 0.27273
Gina's z or standardized score is 0.27273
For Colleen
Her cousin Colleen took the SAT in 2013 and scored 530 on the Math test.
In 2013 the mean was 515 and the standard deviation was 116.
x = 530
μ = 515
σ = 116
Hence, the z score is given as:
z = 530 - 515/116
z = 0.12931
Colleen's z or standardized score is 0.12931
The person who did better relative to their peers is Gina and this is because her standardized score is higher than Colleen’s.
The ratio of boys to girls in Ms. Alper’s math classes is 5 ∶ 7. If there are 60 boys in all of her classes, how many girls are there ?
Plz help im so dumb ;-;
Answer:
I think it's 80 I'm sorry if I'm wrong
Answer:
the person above is incorrect I think it may or may not be 75
please help... please need help!!!
Answer:
2 gallons maybe?
Step-by-step explanation:
Kim decides to give her old toys to her younger cousins. She gives her cousin Sarah 2/3. Then, she gives her cousin Ryan 2/5 of the remaining toys. She has 6 toys left. How many toys did Kim have to begin
Answer:
30
Step-by-step explanation:
Work backwards:
6 is 3/5 of a number, and that number is 1010 is 1/3 of a number, and that number is 30Check your work:
2/3 of 30=20 toy to Sarah30-20=10 toys left2/5 of 10=4 toys to Ryan10-4=6 toys leftSam scored 10 points. This was double the number of points he scored in the first game. Which equation can be used to find, x, the number of points Sam scored in the first game?
a.x−2=10
b.2x = 10
c.x + 2 = 10
d.x/2=10
Answer:
b is the answer of this puestion
Superman needs to save Lois from the clutches of Lex Luthor. After flying for 7 seconds, he is 1708 meters
from her. Then at 11 seconds he is 1484 meters from her.
What is Superman's average rate?
meters per second
How far does Superman fly every 13 seconds?
meters
How close to Lois is Superman after 24 seconds?
meters
Step-by-step explanation:
1) rate = ( 1484 - 1708) ÷ ( 11 - 7) = - 56 m/ s
2) rate × 13 = - 56 × 13 = - 728 m per 13 s
3) rate = - 56
t = 24 s
d = - 56 × 24 = 1344 m
whole distance = 2100
7 × 56 = 392
and he flay till 1708 then whole distance = 392 + 1708
so the remaining distance between him and her
2100 - 1344 = 756 m
It takes Mark 1 hour to get to work each day. Mark drives from home 20 minutes to the train station at a constant rate of 42 mph. He then takes the train, traveling at a constant 60 mph, the remaining distance to work. How far does Mark live from his work place? A. 108 mi. B. 80 mi. C. 62 mi. D. 54 mi.
PLEASE HELP QUICK
Answer:D.54
Step-by-step explanation: it takes 20 minutes in the car which is 1/3 of an hr so 42/3= 14 then that leaves 40 minutes left for the train which is 2/3 of 60 and 60/3=20 and 20x2= 40 so 40+14=54
Answer:
D. 54
Step-by-step explanation:
Give the guy above brainliest
2. In the linear equation y = -3x + 2, the value
(-3) represents which of the following?
a. the slope of the
line
b. the y-coordinate
of the y-intercept
c. the x-coordinate
of the y-intercept
d. the quadrant in
which the line lies
Answer:
C
Step-by-step explanation:
In the form y=mx+x, m is the x coordinate of the y intercept.
Dorian decided his favorite food is Sour Patch Kids,and that was going to eat them every day.He eats 20 Sour Patch Kids in half a day. What is the constant of proportionality?
Answer:
The constant of proportionality is 40 sour patch kids per day
Step-by-step explanation:
Here, we want to find the constant of proportionality
From the question, we are told that he eats 20 sour patch kids in half a day
what this mean is that he will eat 20 * 2 = 40 sour patch kids in a day
The constant of proportionality is thus 40 sour patch kids per day
Please Help Me with this Step by step:
12-(3x+13)=0
8 divided by 32.16?
I need help with this, please answer as fast as possible!!
For a new customer, a video store charges $10 for a rental card plus $2 per movie. Using the linear equation (y=mx+b) you wrote, find the cost for a new customer to rent 6 movies.
Given:
Charges for rental card = $10
Charges for movie = $2 per movie
To find:
The linear equation for given situation and find the cost to rent 6 movies.
Solution:
Let y be the total cost for x number of movies.
Cost of one movie = $2
Cost of x movies = $2x
Total cost = Charges for rental card + Charges for x movies
[tex]y=10+2x[/tex]
Put x=6 to find the cost of 6 movies.
[tex]y=10+2(6)[/tex]
[tex]y=10+12[/tex]
[tex]y=22[/tex]
Therefore, the total cost for a new customer to rent 6 movies is $22.
f(0) = 3 and f(1) = 15.
Answer:
Step-by-step explanat
Given=F(0) = 3 and f(1) = 15.
So f(X)=12x+3
When X=0, f(0)=12x0+3=3
When X=1, f(1) = 12x1+3= 15
So f(X)=12x+3 is the solution o
Help pls! A room is 12 feet long and 10.5 feet wide. A scale model of the room is 3.5 feet wide. What is the area of the scale model?
A. 10.3 square feet
B. 14 square feet
C. 122.5 square feet
What is 1,035 divided by 38
Answer:
27.2368421053
Step-by-step explanation:
John's dog slept for 3 hours. If the dog snored every 13 1 3 13 1 3 of an hour, how many times did he snore? Play media comment. Group of answer choices 9 times 1 time 12 times
Answer:
9 times
Step-by-step explanation:
A dog snores 1/3 of an hour
60 minutes = 1 hour
Hence,
1/3 of 60 minutes = 20 minutes
Hence, every 20 minutes, the dog snores
This means in 1 hour, the dog snores 3 times
The dog slept for 3 hours
Hence,
1 hour = 3 times
3 hours = x
Cross. Multiply
x = 3 × 3 times
x = 9 times
The dog snores 9 times
9 A book publishing company selected 30 out of 50 books submitted for publishing.
What decimal is equivalent to the fraction of books selected for publishing?
Answer:
Step-by-step explanation:
30/50= 3/5= 0.6
In the figure tw =3x+5 wx =10 and tx =5x-9
Answer:
Value of x = 12 unit
Step-by-step explanation:
Given:
tw = 3x+5
wx = 10
tx = 5x-9
Find:
Value of x
Computation:
tw + wx = tx
3x + 5 + 10 = 5x - 9
3x + 15 = 5x - 9
2x = 24
x = 12
Value of x = 12 unit
Crew car wash is offering their unlimited “Works” package for 20% off the normal price of $720 per year . What is the annual cost of the unlimited works package with the discount?
Answer:
144
Step-by-step explanation:
It should be. I don't really know if there are answer choices or not.
HELP ME PLEASE!!!!!!!!!!!!
Answer: linear
Step-by-step explanation: cus when u connect the points it forms a straight line
PLEASE PLEASE PLEASE PLEASE HELPP!!what is The function f(x) = 4x – 8 reflected across the y-axis on a coordinate plane
Evaluate 9/12 × 6/9 Give your answer in its simplest form.
Answer:
1/2
Step-by-step explanation:
reduce 12 with 6 and 9 with 9 and your equation is now 1/2 x 1/1
you now multiply ur franction, which gives you 1/2
hope this helped :)
Simplify square root of 5 multiplied by the cube root of 5 . (10 point)
Group of answer choices
5 to the power of 7 over 6
5 to the power of 2 over 3
5 to the power of 5 over 6
5 to the power of 1 over 6
[tex] \sqrt{5} \times \sqrt[3]{5} [/tex]
[tex] {5}^{ \frac{1}{2} } \times {5}^{ \frac{1}{3} } [/tex]
[tex] {5}^{ \frac{1}{2} + \frac{1}{3} } [/tex]
[tex] {5}^{ \frac{3}{6} + \frac{2}{6} } [/tex]
[tex] {5}^{ \frac{5}{6} } [/tex]
[tex] \sqrt[6]{ {5}^{5} } [/tex]
What is the Awnser to this?
plsss look at the picture and answer the questions
Answer:
1A 60. B 100. C. 80. 2. 84 / 75 / 77
Micah's Family ate some of the two pies that he baked. which number represents the amount of pies that is left
Answer:
The answer is 6/8
Step-by-step explanation:
6/8 is the only logical answer because you need to have an answer that is less than one, 8/6 evens out to 1 1/3, 6/2 evens out to 3, and 8/4 evens out to 2. 6/8 is the only fraction that is less than one.
Answer:
its 6/8
Step-by-step explanation:
please help me this question
Answer:
[tex]C) 1210m^2[/tex]
Step-by-step explanation:
Initial Length of the rope (r) = 12 m
Final length of the rope (R) = 23 m
[tex]Additional\ area\ acquired\ = Final Area- Initial Area\\=\pi R^2- \pi r^2\\=\pi (R^2-r^2)\\=\pi (23^2-12^2)\\=\pi (529-144)\\=\pi (385)\\=385\pi \\\\As\ \pi = \frac{22}{7} \\\\Hence,\\385\pi \\=385 * \frac{22}{7} \\=55*22\\=1210 m^2[/tex]
Earth travels 30 kilometers each second as it revolves around the Sun. How many miles does Earth travel in 1 second? Round to the hundredths if necessary.
9514 1404 393
Answer:
18.64 miles
Step-by-step explanation:
There are 1.609344 km per mile, so the distance traveled in 1 second is ...
(30 km)(1 mi)/(1.609344 km) ≈ 18.64 mi
The Earth travels around the Sun at the rate of about 18.64 miles per second.
Answer:
18.64 if rounded
Step-by-step explanation:
First you need to know how many miles is 1 kilometer. That would be approximately 0.62137 miles. Multiply this by 3 and you would get 1.86411. Now multiply this by 10 to make it 30 kilometers worth of miles and not 3 kilometers. You would get 18.6411 which rounded to the hundredths place would be 18.64.
$24 lunch and 15% tip
Answer:
Total: 24.00
Tip: 3.60
Total: 27.60
Answer:
Step-by-step explanation:
27.60