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
If three times a number is increased by 4, the result is -8. Determine the number.
Answer:
Step-by-step explanation:
let the number is x
3x+4=-8
3x=-8-4
3x=-12
x=-4
Find the value of m divided 9 when m=72
Answer:
8
Step-by-step explanation:
72/9 = 8
like wise
8 times 9 is 72
Given m=-2 and b = 6, write the equation
in Slope intercept form
Answer:
M= -2 , В = 6/5
Step-by-step explanation:
how many students passed if the passing percentage is 50%
Answer:
167
Step-by-step explanation:
from 50-60 we have 30 students
60-70. 50 students
70-80. 45 students
80-90. 27 students
90-100. 15 students
30+50+45+27+15= 167
167 students passed
Answer:
167
Step-by-step explanation:
30+50+45+27+15=167
.
Juan is 5 feet tall. Which equation can be used to determine h, Juan's height in centimeters, if 1 inch is equal to 2.54 centimeters?
1. h = 2.54 times 5
2. h = 1 over 2.54 times 5 times 12
3. h = 2.54 times 5 times 12
4. h = 1 over 2.54 times 5
Answer:
152.4 cm
Step-by-step explanation:
multiply the length value by 30.48
SOMEONE PLEASE HELP ME THIS IS ALMOST DUE AND I NEED THE RIGHT ANSWER PLZ!!!
Answer:
i am pretty sure it is the first oneHelp i ran out of answers to sseeee PLZ COMMENT
Tucker was asked to solve the equation 5x + 3 = 6x + 1. He did not know if his first step should be to add 5 negative x-tiles, or 1 negative unit tile, to both sides. What advice would you give Tucker to help him decide on his first step? Explain.
Answer:
Subtract 5x
Step-by-step explanation:
Cause then you would only get one x in the equation instead of 6x and 5x. Hope this helps!
Answer:
this is what i used as my answer on the advice i would give tucker for what to do as his first step.
Step-by-step explanation:
i would tell tucker to add 5 negative x-tiles because then he would be isolating the x variable and that would help him with not getting confused when gets to the part where he has to isolate the variable if he was to add 1 negative unit tile to both sides as his first step.
Which did you include in your response?:Either first step will isolate the variable.
Help please with both of these questions :(
Simplify the expression: 16k + 8 - (6k + 3)
Answer:
Step-by-step explanation:
16k +8 -(6k+3)
= 16k +8 -1(6k+3)
= 16k + 8 -6k -3
= 10k +5
I hope this is self-explanatory. If any question, please let me know.
Thanks, hope this will help you:)
Answer:
k=-1/2
Step-by-step explanation:
16k+8-(6k+3)
16k+8-(6k+3)=0
16k+8-6k-3=0
16k-6k+8-3=0 ( rearrange)
10k+5=0
10k= -5
k= -5/10( simplify)
k -1/2
check the answer again
omg sryyy that's not the answer I thought we had to find the value of k ....I cant delete it really sry
.25 x .22
what is the answer
Answer:
.055
Step-by-step explanation:
(BRAINLIEST) and more in the description.
Confession: I'm bad at math
Description and benefits: The person with the correct answer will be given 30 points, brainliest, five-star rating, and a thanks. If you answer incorrectly just to get rewards you will be reported to Brainly and your answer will be deleted to give someone else a chance.
Answer:
77.3
Step-by-step explanation:
V=lwh
4.6*4.2*4.0=77.28
77.28 to the nearest tenth is 77.3
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
What's 54 plus eight.
Answer:
62
Step-by-step explanation:
u serious?
Answer:
62
Step-by-step explanation:
change the plus eight to number
54+8=62
Add the expression. Write the sum in simplest form 3 /x+2 + x+1 / x^2 + 5x + 6
Answer: ?
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]\frac{3}{x+2} +\frac{x+1}{x^2+5x+6} \\=\frac{3}{x+2} +\frac{x+1}{x^2+3x+2x+6} \\=\frac{3}{x+2} +\frac{x+1}{x(x+3)+2(x+3)} \\=\frac{3}{x+2} +\frac{x+1}{(x+3)(x+2)} \\=\frac{3(x+3)+x+1}{(x+3)(x+2)} \\=\frac{3x+9+x+1}{(x+3)(x+2)} \\=\frac{4x+10}{(x+3)(x+2)} \\=\frac{4x+10}{x^2+5x+6}[/tex]
[tex]=\frac{2(2x+5)}{(x+3)(x+2)}[/tex]
4x - 20 =-44 I need the answer ASAP
Answer:
x=8
Step-by-step explanation:
44-20=24
24/4=8
Please help I’ll mark you as brainliest if correct
Answer:
Step-by-step explanation:
The second one is perimeter, not area. The first one is correct.
Which system of equations is represented by the graph?
10
8
(4.0)
-10-8
-6 -4 -2
8
1D
(-1,-571
y = x +4
X+4
y =
X+2
y = x - 4
X+4
y =
X+2
y = x + 4
X-4
y =
X+2
y = x - 4
X-4
y =
X+2
Answer:
-6
Step-by-step explanation:
is it
please anyone help i really need help it’s due please!!
What fraction of 6 is 2 1/4 ?
Answer:
13 1/2
Step-by-step explanation:
this is surely the answer. 13.5
the weight of a person of average build varies directly with the cube of that person's height. use a person 6 feet tall who weight's 200 pounds to find the equation of variation
Answer:
24356475869708-9
Step-by-step explanation:
i-3= 47
I’ll give the first person to answer brainiest
simplify
[tex] \sqrt{324} [/tex]
A. 16
B. 17
C. 18
D. 19
Answer: C) 18
Step-by-step explanation:
Your problem → Simplify square root of 324
First find factors of 324
2 324
2 162
3 81
3 27
3 9
3 3
1
324=2×2×3×3×3×3
324 = 2^2 × 3^4
Taking squareroot
∴√324=√2^2 × 3^4
=2 × 3^2
=18
∴ 324 is a perfect square
Graph this function.
f(t) = -1/3x + 8
Graph this function.
f(t) = -1/3x + 8
Find the asymptotes
Vertical Asymptotes:
[tex]x = 0[/tex]
Horizontal Asymptotes:
[tex]y = 8[/tex]
No oblique asymptotes
HopeItHelps you
#CarryOnLearning
A box contains balls of four different colors. There are 5 red balls, 7 green balls, 2 blue balls and 6 yellow balls. If you pick a ball at random, the probability it will be yellow is
a. 1
b. 1/4
c. 6
d. 6/20
e. 6/14
Answer:
d. 6/20
Step-by-step explanation:
There are 5 red, 7 green, 2 blue, and 6 yellow, with a total of 20. Since there are 6 yellow, you have a probability of 6/20.
A national charity contacted 100 randomly selected people by phone, and 7 percent of those contacted made a donation to the charity. The population proportion of those who make a donation when contacted by phone is known to be p=0.05. For samples of size 100, which of the following best interprets the mean of the sampling distribution of the sample proportion of people who make a donation when contacted by phone?
a. For all random samples of 100 people contacted by phone, the sample proportion of those who make a donation will be 0.05.
b. For all random samples of 100 people contacted by phone, the sample proportion of those who make a donation will be 0.07.
c. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.
d. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.07.
e. The probability that the mean of the sampling distribution of sample proportions is greater than 0.07 is 0.05.
Answer: c. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.
Step-by-step explanation:
Mean of the sampling distribution of the sample proportion = p (Population proportion.)
Here, the population proportion of those who make a donation when contacted by phone is known to be p=0.05.
Then, Mean = p = 0.05
Hence, the correct option is
c. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.
This question is based on the concept of statistics. Hence, the correct option is (c) The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.
Given:
A national charity contacted 100 randomly selected people by phone, and 7 percent of those contacted made a donation to the charity. The population proportion p=0.05. For samples of size 100.
According to the question,
Mean of sampling distribution of the sample proportion = p (Population proportion.)
It is given that, the population proportion of those who make donation when contacted by phone is known to be p=0.05.
Thus, Mean = p = 0.05
Hence, the correct option is (c) The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.
For more details, prefer this link:
https://brainly.com/question/10211620
A. Convert to the indicated unit of measure
1. 708 mm = ______m
2. 15.6 km = ______ dam
3. 108 cc = ______mL
4. 8 tbsp = ______ mL
5. 16.5 L = _____ gal
6. 3,569 sec = _____days
7. 4 score = ______ mo.
8. 299 K = _______0C
9. 2000F = ______0C
10. 10,866 mg = ______kg
ASAP :)
9514 1404 393
Answer:
0.708 m1560 dam108 mL118.3 mL (rounded)4.36 gal (rounded)0.04131 days (rounded)960 mo25.85 °C93 1/3 °C0.010866 kgStep-by-step explanation:
The conversions between SI prefix values can be found in any table of those prefixes. Other conversions needed are ...
1 tbsp = 14.7876478125 mL . . . . commonly rounded to 15 mL
1 gal = 3.785411784 L
1 day = 86,400 s
__
F = 9/5C +32 . . . . . formulas for conversion between temperature scales
K = C +273.15
_____
Applying the necessary conversions, we have ...
1. 708 mm = 0.708 m . . . 1000 mm = 1 m
2. 15.6 km = 1560 dam . . . 100 dam = 1 km
3. 108 cc = 108 mL . . . 1 cc = 1 mL
4. 8 tbsp ≈ 118.3 mL . . . using the above conversion
5. 16.5 L ≈ 4.36 gal . . . using the above conversion
6. 3,569 s ≈ 0.04131 days . . . using the above conversion
7. 4 score = 960 mo . . . 1 score = 240 months
8. 299 K = 25.85 °C
9. 200 °F = 93 1/3 °C
10. 10,866 mg = 0.010866 kg . . . 1,000,000 mg = 1 kg
_____
Additional Comment
For conversions other than temperature, the conversion factor used is one that is equivalent to 1. That is, the numerator has the same value as the denominator—only the units are different. The conversion in general looks like ...
[tex]nn\text{ units you have}\times\dfrac{A\text{ units you want}}{B\text{ units you have}}=\dfrac{nn\cdot A}{B}\text{ units you want}[/tex]
where the conversion factor is ...
A units you want = B units you have
Find the values of x and y.
2x 28 4y 28
Answer:
y=7
x°=15°
Step-by-step explanation:
First we see that there is a equilateral triangle (all angles and also sides should be equal to each other) meaning that 4y=28, which simplifies to y=7
Additionally, we can see that one of the acute angles of the equilateral triange is complementary with the 2x° angle, so 2x°+(the acute angle)=90°
Since the triangle is equilateral each angle must be equivalent and since there is only 180° in a triangle each angle is 180°/3=60°
so 2x°+(60°)=90°
simplify for x°
2x°=30°
x°=15°
The point P is on the unit circle. Find P(x, y) from the given information. The x-coordinate of P is 12 13 , and the y-coordinate is negative.
This question is incomplete, the complete question is;
The point P is on the unit circle. Find P(x, y) from the given information. The x-coordinate of P is 12/13 , and the y-coordinate is negative.
Answer: P( x, y ) = ( -5/13, 12/13 )
Step-by-step explanation:
Given that;
p( x, y ) is on the unit circle,
Radius of the circle must be 1
so the equation x² + y² = r²
x = 12/13 and r = 1
(12/13)² + y² = 1²
y² = 1 - (12/13)²
y = √ [ 1 - (12/13)² ]
y = ±5/13
since the y-coordinate is negative y = -5/13
Therefore, P( x, y ) = ( -5/13, 12/13 )
How many words per minute can Shania type? words per minutes
Answer:
57
Step-by-step explanation:
eliana is coolll
Jake created a scale drawing of an airplane. In the scale drawing, the length of the airplane was 15 inches. The length of the actual airplane is 75 feet. What scale did Jake use to create the scale drawing of the airplane? A. 1 inch represents 15 foot A. 1 inch represents 1 over 5.... , foot, B. 1 inch represents 5 feet B. , 1 inch represents 5 feet, , , C. 5 inches represents 1 foot C. , 5 inches represents 1 foot , D. 5 inches represents 15 foot
Answer:
B. 1 inch represents 5 feet.
Step-by-step explanation:
15 X 5= 75