Answer:
EXAMPLE
Pete bought a shirt on sale for $
18
18, which is one-half the original price. What was the original price of the shirt?
Solution:
Step 1. Read the problem. Make sure you understand all the words and ideas. You may need to read the problem two or more times. If there are words you don’t understand, look them up in a dictionary or on the Internet.
In this problem, do you understand what is being discussed? Do you understand every word?
Step 2. Identify what you are looking for. It’s hard to find something if you are not sure what it is! Read the problem again and look for words that tell you what you are looking for!
In this problem, the words “what was the original price of the shirt” tell you what you are looking for: the original price of the shirt.
Step 3. Name what you are looking for. Choose a variable to represent that quantity. You can use any letter for the variable, but it may help to choose one that helps you remember what it represents.
Let
p
=
p= the original price of the shirt
Step 4. Translate into an equation. It may help to first restate the problem in one sentence, with all the important information. Then translate the sentence into an equation.
The top line reads:
Step 5. Solve the equation using good algebra techniques. Even if you know the answer right away, using algebra will better prepare you to solve problems that do not have obvious answers.
Write the equation.
18
=
1
2
p
18=12p
Multiply both sides by 2.
2
⋅
18
=
2
⋅
1
2
p
2⋅18=2⋅1
Step 3. Name what you are looking for. Choose a variable to represent that quantity. You can use any letter for the variable, but it may help to choose one that helps you remember what it represents.
Let
p
=
p= the original price of the shirt
Step 4. Translate into an equation. It may help to first restate the problem in one sentence, with all the important information. Then translate the sentence into an equation.
The top line reads:
Step 5. Solve the equation using good algebra techniques. Even if you know the answer right away, using algebra will better prepare you to solve problems that do not have obvious answers.
Write the equation.
18
=
1
2
p
18=12p
Multiply both sides by 2.
2
⋅
18
=
2
⋅
1
2
p
2⋅18=2⋅12p
Simplify.
36
=
p
36=pStep 6. Check the answer in the problem and make sure it makes sense.
We found that
p
=
36
p=36, which means the original price was
$36
$36. Does
$36
$36 make sense in the problem? Yes, because
18
18 is one-half of
36
36, and the shirt was on sale at half the original price.Step 7. Answer the question with a complete sentence.
The problem asked “What was the original price of the shirt?” The answer to the question is: “The original price of the shirt was
$36
$36.”
If this were a homework exercise, our work might look like this:
The top reads,
TRY IT
Step-by-step explanation:
#CarryOnLearning
is 4 1/2 equivalent to 4.5/100
Answer:
Every number in decimal form, in which either decimals terminate or certain numbers after decimal point continue to repeat endlessly, can be written as a fraction. As the given number 4.5 terminates after first deciimal it can be written as fraction. Here we have 4.5=4510=92 a fraction.
Step-by-step explanation:
hope i could help
A relay race covers a distance of 21/2 miles. Each runner on the team will run 1/4 miles how many runner needed for the team to cover the distances
Answer: 10
Step-by-step explanation:
Each mile has 4 quarter miles.
2.5 miles are covered.
4×2.5=10
What is the value of x?
O 100°
140°
O 120°
O 130°
O 150°
56°
34°
Mark this and retum
Save and Exit
Next
Submit
Answer:
ans will option 130 degree
The value of x in the given figure is 130 degrees.
What is the value of x?The first step is to determine the value of all of the angles in the quadrilateral.
First angle = 180 - 140 = 40 Second angle = 180 - 34 = 146Third angle = 180 - 56 = 124Fourth angle = 360 - (40 + 146 + 124) = 50Angle x = 180 - 50 = 130
To learn more about quadrilaterals, please check: https://brainly.com/question/16595449
The tax on a property with an assessed value of $90,000 is $1,350. Find the tax on a property with an
assessed value of $140,000.
a. $1500.00
b. $150.00
c. $2100.00
d. $210.00
e. $750.00
Answer:
0.015 or 1.5% tax
Step-by-step explanation:
90000x0.015 = 1350
Gabrielle is 12 years younger than Mikhail. The sum of their ages is 76 . What is Mikhail's age?
Answer:
48 years old
Step-by-step explanation:
Let x = Mikhail's age
then x-15 = Gabrielle's age
x + x-15 = 81
2x-15 = 81
2x = 96
x = 48 years old
Answer:
44
Step-by-step explanation:
x+(x-12)=76
2x-12=76
2x=76+12
2x=88
x=88/2
x=44
5TH GRADE LEVEL QUESTION. PLEASE LOOK AT PHOTO I NEED HELP DUE VERY SOON HANDING OUT BRAINLIEST PLEASEE HELP I BEG U.
Step-by-step explanation:
We know that the volume of a rectangular prism is the base area multiplied by its respective height.
Hence we have 24in² * 6in² = 144in³.
The volume of the package is 144 cubic inches.
need help asap please
Answer:
[tex]\displaystyle no[/tex]
Step-by-step explanation:
SR is slightly longer than TS, so with that being stated, we cannot use this theorem for this triangle.
I am joyous to assist you at any time.
Please I really need help on this one
Answer:
hope this hlp u
Step-by-step explanation:
the last one shows the radius
Answer:
figure 4 shows the radius
b. (1-4) Name two obtuse
angles in the shape
below:
Answer
ADC and BDC
Explain:
Answer:
Same like other users
Pls help extra points and mark brainlist easy reading
Answer:
sneaking
Step-by-step explanation:
please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!
(lol optional): add my sc: tealyn337
Need help fast!!
Read the problem in the box below. See if you can figure out the most logical
answer.
If Jay ran 1 mile in 6 minutes on Monday, 2 miles in 12 minutes on Tuesday,
and 3 miles in 18 minutes on Wednesday, how many miles do you think he
might run in 24 minutes on Thursday?
A. 4 miles
B. 3 miles
C. 5 miles
D. 2 miles
SUBMIT
Answer:
4 miles
Step-by-step explanation:
four times six equals 24
its the number of miles times six equals the minutes
How to graph -2,-2
does it just go vertical or horizontal?
Someone Help please with work!! 15pts
Answer:
f(5) is equal to 5.
Step-by-step explanation:
You can see this by looking at 5 on the horizontal axis, and seeing where the graph crosses vertical line for that value. If you look closely, you'll see that the x value of 5 has a y value of 5 as well.
Help please will mark brainliest!!
Pls help
Find the quotient of 4.13 × 10^−8 and 0.04 × 10^5. In two or more complete sentences, explain each step in your calculations. Include the quotient as part of your final answer.
Answer:
[tex]q=1.03\times 10^{-11}[/tex]
Step-by-step explanation:
Given that,
First number [tex]=4.13\times 10^{-8}[/tex]
Second number [tex]=0.04\times 10^{5}[/tex]
We need to find the quotient of first and the second number. It can be calculated by taking [tex]=4.13\times 10^{-8}[/tex] at numerator and [tex]=0.04\times 10^{5}[/tex] at denominator such that,
[tex]q=\dfrac{4.13\times 10^{-8}}{0.04\times 10^5}\\\\=\dfrac{4.13}{0.04}\times 10^{-8-5}\\\\=103.25\times 10^{-13}[/tex]
or
[tex]q=1.03\times 10^{-11}[/tex]
So, the final answer is [tex]1.03\times 10^{-11}[/tex]
19 ≥ 3f+1 ≥5 pls help
Answer:
Hi...u should do like this
18>3f>4
6>f>4/3
I need help ASAP please
please help me i cant under stand this
Answer:
Plot the same points that are on the table
Step-by-step explanation:
when given a table you are also given ordered pairs , so for example , the first pair on the table is (1,3) so plot that as your first point , then your second is (2,6) and so on . write these on the blank spaces aswell ! hope this helps :))))
9n - 7 = 5n - 19
What is n and why did you do that
Answer:
n=-3
Step-by-step explanation:
1) subtract 5n from both sides
2) Add 7 to both sides
3) divide both side by 4
Hope this helps
all 3 are solve for x:
24.
25.
26.
24: x= 33
25: x=21
26: x= 11
Please help quickly as possible thank you
A random variable X has a lognormal distribution if Y = ln X has a normal distribution. For this problem, assume that Y has a mean and standard deviation of 0.353 and 0.754
(a) What are the possible values X can take?
(b) What is the probability that X is between 1 and 2?
Answer:
Step-by-step explanation:
From the given information:
For X to be valid, the possible values of X should be greater than zero i.e. X > 0
If X obeys a lognormal distribution
Then; Y = In X
So,
Now,
[tex]E(X) = e^{0.353} + \dfrac{1}{2}(0.754)^2[/tex]
[tex]E(X) = 1.8913[/tex]
Also;
[tex]V(X) = e^{2 \times 0.353 + 2(0.754)^2} -e^{2\times 0.353 + (0.754)^2}[/tex]
V(X) = 2.7387
∴
SD(X) = 1.6549
[tex]P(1 < X < 2) = P(X < 2) - P(X < 1)[/tex]
= 0.108
Please see screenshot
Answer:. 151/99
Step-by-step explanation:
Take the repeating digits from the decimal equivalent, 52 and place them as the numerator of a fraction with 99 as the denominator. That is 52/99
We can verify this value by doing the long division, or enter the values as 52÷99 on a calculator.
For the improper fraction:
Convert the whole number, 1, to its equivalent, 99/99. ( If the whole number is other than 1, multiply it by the denominator and use the product as the numerator. )
Add the numerators: 52 + 99 = 151
Our improper fraction equivalent of 1.525252 is 151/99
can someone help with 9-12 please ?
Answer:
9-12 is -3
Step-by-step explanation:
Help babyyyy I need itttt
Answer:
4
Step-by-step explanation:
the speed of a ship is givin by d/3, where is d is the distance the ship travels in 3 hours. if the ship travels 48 miles in 3 hours, what is the speed of the ship
—
HELP PLEASE ITS THE LAST QUESTION!! ill give brainlist, HURRY
Answer:
Hi... U should do like this
48/3=16...
What is an angle that is adjacent to <2?
(PLEASE)
Answer:
∠3 and ∠1 are correct
Step-by-step explanation:
adjacent angles are next to each other with a common vertexand side
Find CD if C and D are midpoints segment XY and ZY respectively.
Options:8,10,12,6
Answer:
CD=8
Step-by-step explanation:
CD=1/2 of ZX
1/2 of 16= 8
Hope this helps!
Please mark me brainliest if you can. :)
Find the mean of 86, 87, 91, and 128
Answer:
98
Step-by-step explanation:
Answer:
296
Step-by-step explanation:
I hope this helps you out!
Please help!!! Will give brainliest!!!
Answer:
Solutions are x=-3, and x = 4.
Step-by-step explanation:
Factor left side of the equation
(x+3)(x-4) = 0
Set Factors Equal To Zero
x + 3 = 0 x - 4 = 0
x = -3 or x= -4