Answer:
x = 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
4x + 9 = 2x + 15
Step 2: Solve for x
Subtract 2x on both sides: 2x + 9 = 15Subtract 9 on both sides: 2x = 6Divide 2 on both sides: x = 3Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 4(3) + 9 = 2(3) + 15Multiply: 12 + 9 = 6 + 15Add: 21 = 21Here we see that 21 does indeed equal 21.
∴ x = 3 is the solution to the equation.
The manager of a clothing store purchased 40 pairs of jeans for $500. She plans to sell each pair of jeans for $19.99. By what percent did she mark up the price?
A.
60%
B.
12.5%
C.
10%
D.
7.5%
Answer:
60%
Step-by-step explanation:
Formula: Markup Percentage = Selling Price Per Unit - Cost Price Per Unit over Cost price per unit. times 100
$19.99 - 12.5
------------------- times 100
12.5
Follow PEMDAS
7.49 / 12.5 = 0.5592 (100) = 59.92
Round to the nearest whole number. So about 60%
HELP I'LL GIVE BRAINLIEST TO THE CORRECT ANSWER!!! THIS IS TIME PLZ HELP!!!
(look at the screenshot)
Ruby is visiting San Francisco. From her hotel she walks 2 blocks east and 4 blocks north to a coffee shop. Then she walks 6 blocks west and 5 blocks north to a museum. Where is the museum in relation to her hotel? SHOW YOUR WORK!!!
The museum is __ blocks(s) __ (east or west) and __ block(s) (north or south) of her hotel.
Answer:
2 blocks west and 5 steps north
Step-by-step explanation:
A parking lot is constructed in the shape of a parallelogram. A construction company needs to pave the parking lot, which will cost $3 per square foot. What is the total cost to pave the parking lot.
Answer:
[tex]\$3A[/tex]
[tex]A[/tex] denotes area of a parallelogram
Step-by-step explanation:
Given: A parking lot is in the form of a parallelogram. Per square foot cost to pave the parking lot is [tex]\$3[/tex].
To find: Total cost to pave the parking lot
Solution:
Let [tex]A[/tex] denotes area of a parallelogram.
Also,
Per square foot cost to pave the parking lot is [tex]\$3[/tex].
So,
Total cost to pave the parking lot [tex]=\$3A[/tex]
How many choices are in the sample space of drawing a club out of a deck of 52 cards?
A. 13 choices
B. 52 choices
C. 26 choices
D. 12 choices
Answer:
A. 13
Step-by-step explanation:
Tamika wants to predict the outcome of next Tuesday’s game, between the Nets and the Warriors.
She believes that the Warriors will score 19 points less than the Nets. Tamika also predicts that the total amount of points scored for both teams will be 207 points.
How many points does Tamika think that the Warriors will score? How many points will the Nets score?
Step-by-step explanation:
Let x be the Warriors' score. Then from Tamika's prediction, (x + 19) is the Nets' score.
Toal score = x + (x + 19) = 2x + 19 = 207.
Therefore 2x = 188 and x = 94.
Hence Tamika thinks that the Warriors will score 94 points and the Nets will score 94 + 19 = 113 points.
Lucy has to run two errands. She starts from home and
travels 3 miles south to the post office. From the post
office, she travels 4 miles east to the gas station. Then,
from the gas station, she travels 5 miles to return home.
The entire trip forms a triangle.
What was the smallest angle made in her trip?
Answer:
My answer is at the gas station. I hope my answer helped.
When Lucy traveled to the post office and then to the gas station the angle was 90 degrees, at the post office. Then when Lucy was traveling back home from the gas station the angle was a 45 degree. So the smallest angle made during her tip was at the gas station.
Step-by-step explanation:
1) Slope =-1, y-intercept = 0
3.
1
A) y =
B) y=-1
4
4
ID) -
1
C) y = -x
D) y = -x +
4
Answer:
1. C 2.D 3.D 4.A
Step-by-step explanation:
The first one would be C because the slope is -1, which can also be -x and the y-intercept is 0, meaning you don't need to add or subtract anything.
The second one is D because the slope is -3, meaning it's -3x, and the y-intercept is positive, meaning you add 5.
The third one is D because the slope is 5/4, which is 5/4x and the y-intercept is positive 3, meaning you add 3.
And the fourth one is A because there is no slope, so y would just equal 3.
Rob is saving money for a down payment on a house. He opens a savings account at his local bank and deposits $1000. He models his savings plan with the equation y=400x+1000
based on his current income and monthly savings rate. What is the meaning of the y-intercept in the equation?
Answer:
x=-5/2
Step-by-step explanation
y=0
0=400x=1000 divide both sides
x=-5/2
Answer:
The Answer is D: Starting amount in his savings account
Step-by-step explanation:
The y-intercept represents the starting amount in his savings account.
x = 0 for the y-intercept.
y = 400x + 1000
y = 400(0) + 1000
y = 1000
What is the compound interest when £1200 is invested for 8 years at a rate of 3.2% compound interest p.a.?
Answer:
the Compound interest is £1,543.90
Step-by-step explanation:
The computation of the compound interest is shown below:
As we know that
Compound interest is
Amount = Principal × (1 + rate of interest)^number of years
= £1,200 × (1 + 0.032)^8
= £1,200 × 1.286582318
= £1,543.90
hence, the Compound interest is £1,543.90
We simply applied the above formula so that the correct value could come
And, the same is to be considered
What is 27 times 30 to the power of 2?(“real” question)
Answer:
24300
Step-by-step explanation:
first find the square for 30 * 30
then multiply!
helpppppp plssssssss
Answer:
d
Step-by-step explanation:
I THINK
Write 12 1/ 3 as an improper fraction.
Answer:
37/3
Step-by-step explanation:
we start with 12 1/3 multiply the whole number-12 with the denominator-3 that make 36 add the numerator-1 this makes 37, this is your new numerator
Find the two square roots of 144.
Answer:
The square root function
sqrt(144) or √144 produces a single positive value, 12.
However if you have an equation
x² = 144, then you have two possible values for x, 12 and -12.
Two ways to look at it.
x² - 144 = 0
Difference of two squares
(x+12)(x-12) = 0
x = -12, 12
x² = 144
x = ±√144
x = ±12
x = -12, 12
Answer:
12 and -12
Step-by-step explanation:
144 is a perfect square which means that a number multiplies to it with the same number. In this instance both 12 and -12 equal 144.
12 x 12 = 144
-12 x -12 = 144 (two negatives equal a positive)
Tom fed the dog 3 times as many times as her sister last week. His sister walked the dog 9 times. Max said he could multiply 4 times 9 to find out how many more times he walked the Dog than his sister. Is Tom correct?
Answer:
No
Step-by-step explanation:
The calculation that Tom is trying to do would be to calculate how many times he walked the dog if he had walked the dog 4 times as many times as his sister, who in this scenario walked the dog a total of 9 times. Since, in this scenario there is no mention of how many times Tom walked the dog then this calculation cannot be made and I would say that Tom is not correct.
Answer: nope
Step-by-step explanation: it’s just obvious
The following cards are used in a game.If each of the cards is turned over and shuffled
Answer:
than that means the cards are not turned over
im sorry i didnt really get you question
Step-by-step explanation:
There is 1/2 of a greater chance in drawing a spade over drawing a 7
How to determine the probability?From the complete question added as an attachment, we have the following parameters:
n(Spade) = 4n(7) = 1Total = 6The probability of getting a spade is:
P(Spade) = 4/6
The probability of getting a 7 is:
P(7) = 1/6
The difference between both probabilities is:
Difference = 4/6 - 1/6
Evaluate
Difference = 3/6
Simplify
Difference = 1/2
Hence, there is 1/2 of a greater chance in drawing a spade over drawing a 7
Note that the question is incomplete, and the missing part of the question can be found online
Read more about probability at:
https://brainly.com/question/251701
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Solve the following equation for I. A = 2nr + nrl. Explain each step please
Solve for N!! Please
Answer:
18
Step-by-step explanation:
[tex]\frac{6}{5} =\frac{N}{15} \\N=\frac{6}{5} \times 15=18[/tex]
I WILL GIVE BRAINLIEST PLEASE.
After an interview, Manahil reached her home at 1305 hrs. If she stopped at the petrol station for 10 mins and then later for 25 mins at Cocochan to pick up some lunch, exactly how long was her journey?
Answer:
well i think add everything up like add 1,305 to 25 and 10 you should hopefully get your answer not quite sure what subject you are on but hope this works.
Will give brainliest (Don't copy from the internet please)
You have gone out to eat with a couple of friends. One is your friend Jamal and the other is your friend Marek. At the end, you get the check, and you decide to split it in two parts. You will pay for yourself and Jamal, while Marek will pay for 1/3 of the total amount. You end up paying $16.00 for your part of the meal. Later, you can’t remember how much the total bill was, but you are sure you can figure it out.
1. Write a system of equations to represent this situation, and solve the system to find out how much the total cost of the meal was (including your part as well as Marek’s part). Show all of your work.
2. How much did Marek pay for his part of the meal? Again, show all of your work.
3. Was this a fair way to split up the check? What might be a more fair way to split up the check?
find the solution to following system using substitution or elimination
y = -x + 10
y = 7x + 2
A. (1,9)
B. ( 3/2 , 17/2)
C. (9,65)
D. (1, -1/7)
Answer:
the answer is (1,9)
Step-by-step explanation:
Math question can you please help and can you breakdown how you got your answer
Answer:
8
Step-by-step explanation:
AB=DC
BC=AD
BA=CD
CB=DA
If three cards are drawn at random from a standard deck of 52 cards, what is the probability that they will all be queens?
Answer:
0.01809955% or about 0.018%
Step-by-step explanation:
You do the multiplication of 4/52 by 3/51 by 2/50
5. Write an equivalent expression for (2x + 4)(x-5)
[tex]2x^{2} -10x +4x -20[/tex]
I'm not sure if you need to simplify
I need help finding the circled ones
#12 is 17, #3 is 59, #8 is 28, #22 is 78, #32 is 90, #10 is 59, #21 is 26
Can sides of a triangle have lengths 3,4,9
Answer:
yes
Step-by-step explanation:
No, the lengths 3, 4, and 9 cannot form the sides of a triangle.
What is Triangle Inequality?The triangle inequality is a fundamental geometric principle that states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
We have sides as 3, 4 and 9.
For a triangle to be valid, the sum of the lengths of any two sides must be greater than the length of the third side.
In this case, let's check if this condition is satisfied:
3 + 4 = 7
7 is less than 9
Therefore, these lengths do not satisfy the triangle inequality theorem, and a triangle cannot be formed with side lengths 3, 4, and 9.
Learn more about triangle inequality theorem here:
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Review my example on how to find the rate of change for a given set of data. Let (x, y) = (11, 12) and (x', y') = (15, 16). The formula to find the rate of change for the two order pairs is: (y' - y) / (x' - x) = rate of change, so (16 - 12) / (15 - 11) = 4/4 = 1, therefore, the rate of change is 1 *
I would have labeled the points as
(x1,y1) = (11,12)
(x2,y2) = (15,16)
then used the formula
m = (y2-y1)/(x2-x1)
However, your idea works as well. I don't see any errors with your steps. Nice work.
If x = 4 and y = -2, the value of 3 xy?
Answer:
-24
Step-by-step explanation:
Answer: -24
Step-by-step explanation:
3xy
3(4)(-2)
12(-2)
-24
what is the answer to 36 divided by 48
Answer:
0.75
Step-by-step explanation:
Answer: 36 = dividend
48 = divisor or if ur doing other way 0.75
Step-by-step explanation:
A line passes through the points (2, -4) and (4, 2). What is the equation of this line in slope-intercept form?
Answer:
A:y=3x-10
Step-by-step explanation: the rise and run is 6/2 and the y intercept is -10
Please help!!!! Will give Brainliest!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
1. after 7 hours, you watch 1 movie
2. after 0 hours, youve watched 0 movies
3. after 14 hours, you have watched 2 movies