Answer:
a. the number of minutes jessica walked
Step-by-step explanation:
because it doesnt necessarily tell us how much minutes she walked.
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⋅1Step 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
If eight balls can be purchased for $48, what is the unit rate?
Answer:
I think the unit rate is 6$
i divided 48 by 8 and got 6
Which statement describes a unit rate?
A.
Joan played 1 game.
B.
Joan wrote 6 letters and 2 postcards.
C.
Joan threw the ball at 40 miles per hour.
D.
Joan has 3 candy bars and 1 pack of gum.
Answer:
c
Step-by-step explanation:
Which of the following represents 24 = 4 × 6?
A.
4 is 6 times as many as 24
B.
24 is 4 times as many as 6
C.
24 is 2 times as many as 12
D.
6 is 4 times as many as 24
Answer:
4 is 6 times as many as 24
Step-by-step explanation:
2 hr 47 min 50 s
+ 3 hr 34 min 45 s
Answer:
6 hours, 21 min, 35 sec
Step-by-step explanation:
hours: 2+3=5 hours
minutes: 47+34= 81 minutes= 80-60(one hour)=20 min leftover
seconds: 50+45=95 sec= 95-60(one min)= 35 sec leftover
6 hours, 21 min, 35 sec
Line m is perpendicular to lines l and n. Line n is parallel to line p. All four lines are coplanar. Which of the following statements is true?
A. line l is perpendicular to line p
B. line m is parallel to line p
C. line l is perpendicular to line n
D. line l is parallel to line p
Answer: Answer B
Step-by-step explanation:
Please help me thank you and show work
Answer:
m=-18
Step-by-step explanation:
6m=-108
m=-108/6
m=-18
Answer:
okay so the answer is -18
Someone help me with this please
2(3u-8)= 38
6u-16=38
take 16 on the other side..
6u = 38 +16
6u = 54
u = 9
Answer:
u=9
Step-by-step explanation:
Divide both sides by 2
3u-8=19
Add 8 to both sides
3u=27
divide both sides by 3
u=9
The length of the longer leg of a right triangle is 4ft more than twice the length of the shorter leg. The length of the hypotenuse is 6ft more than twice the length of the shorter leg. Find the side lengths of the triangle.
a. Find the length of the shorter side
b. Find the length of the longer side
c. Find the length of the hypotenuse
d. Find the side lengths of the triangle.
Answer: Shorter side = 10 feet
Longer side = 24 feet
Hypotenuse = 26 feet
The side lengths of the triangle are 10ft, 24ft and 26ft.
Step-by-step explanation:
Let the length of the shorter leg be x.
The length of the longer leg of a right triangle is 4ft more than twice the length of the shorter leg. This will be: = 2x + 4
The length of the hypotenuse is 6ft more than twice the length of the shorter leg. This will be: = 2x + 6
Note that the square of the hypothenuse will be equal to the square of the other two sides. This will be:
x² + (2x + 4)² = (2x + 6)²
x² + (2x + 4)(2x + 4) = (2x + 6)(2x + 6)
x² + 4x² + 8x + 8x + 16 = 4x² + 12x + 12x + 36
x² + 4x² + 16x + 16 = 4x² + 24x + 36
5x² + 16x + 16 = 4x² + 24x + 36
Collect like terms
5x² - 4x² + 16x - 24x + 16 - 36 = 0
x² - 8x - 20 = 0
x² - 10x + 2x - 20 = 0
x(x - 10) + 2(x - 10) = 0
Therefore, x - 10 = 0
x = 10
a. length of the shorter side = 10ft
b. Length of the longer side = 2x + 4 = 2(10) + 4 = 20 + 4 = 24ft
c. length of the hypotenuse = 2x + 6 = 2(10) + 6 = 20 + 6 = 26ft
d. The side lengths of the triangle are 10ft, 24ft and 26ft.
Answer:
egg
Step-by-step explanation:
yes
Harper and Sadie collected 282 pieces of garbage from the park. Sadie collected twice as many pieces of garbage as Harper. Enter the number of pieces of garbage that Sadie collected.
Answer:
141
Step-by-step explanation:
282 devided by 2=141
141*2=282
Step-by-step explanation:
sorry I don't know this answer please please please please please please please please please please please please please please please please please please please please
eff traveled at an average speed of 65 miles per hour for 2.5 hours and then traveled at an average speed of 70 miles per hour for 1.5 hours. What was the total distance in miles that Jeff traveled during this time?
A. 272.5 miles
A. 272.5 miles
B. 267.5 miles
B. , 267.5 miles,
C. 270 miles
C. 270 miles
D. 337 miles
Answer:
267.5 miles
Step-by-step explanation
65×2.5=162.5
70×1.5=105
162.5+105=267.5
267.5I need help I'm in 5th grade
Answer:
C. 3 5/18
Step-by-step explanation:
What we know:
Joel purchased 5 7/9 lb of grapes, while Jim purchased 2 1/2 lb.
What we need to find out:
How many more pounds of grapes does Joel have than Jim.
What we need to do:
Subtract 2 1/2 from 5 7/9.
But first, we need a common denominator.
2 and 9 don't have any common factors so multiply normally.
2 * 9 = 18
5 7/9 becomes 5 14/18, and 2 1/2 becomes 2 9/18.
Now to subtract.
(5 - 2) + ((14-9)/18)
3 + ((14-9)/18
3 + 5/18
Joel has 3 5/18 more pounds of grapes than Jim, so the answer is C.
Answer:
C
Step-by-step explanation:
5 7/9 - 2 1/2 = 5 14/18 - 2 9/18 = 3 5/18
Please help me with acellus
Answer:
2x+1=4x-19
20=2x
x=10
A group of students shared 4 jars of paint equally. If each student got 1 3 of a jar of paint, how many students were in the group? Explain.
There is/are _______ student(s) in the group, because there is/are _______ one-third part(s) in 4 whole jars.
Answer:
12 people in the group.
Step-by-step explanation:
1 jar of paint = 3 people
which shapes go with which name?
Answer:
Can someone please help me on my last question
Sorry bro I’m desperate
Step-by-step explanation:
Answer:
first one a square , secound a rectangle , third a quadrilateral, fourth a rhombus, fifth is p
Step-by-step explanation:
Do you know this please
Answer:
the fraction is 70/100 and the decimal is 0.70 and the percent is 70%
Step-by-step explanation:
because the thing is showing 7 lines filled in so you count by tens til you get 70 out of 100
Answer:
the fraction is seventy over humdred
The radius of a circle is 11.4 find the circumference to the nearest tenth
Answer:
71.6
Step-by-step explanation:
c= 2(pi)r
c= 2(3.14)(11.4)
c=71.592
c= 71.6
The manager of a night club in Boston stated that 85% of the customers are between the ages of 21 and 27 years. If the age of customers is normally distributed with a mean of 24 years, calculate its standard deviation.
Answer:
The standard deviation of the age of the customers was of 2.08 years.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
[tex]\mu = 24[/tex]
85% of the customers are between the ages of 21 and 27 years.
Since the normal distribution is symmetric, this means, for example, that 27 is the 50 + (85/2) = 92.5th percentile, that is, when [tex]X = 27[/tex], Z has a pvalue of 0.925. So when [tex]X = 27, Z = 1.44[/tex]. We use this to find [tex]\sigma[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.44 = \frac{27 - 24}{\sigma}[/tex]
[tex]1.44\sigma = 3[/tex]
[tex]\sigma = \frac{3}{1.44}[/tex]
[tex]\sigma = 2.08[/tex]
The standard deviation of the age of the customers was of 2.08 years.
The product of two consecutive numbers is 1295, find the numbers.
Answer:
36.49 and 35.49
Step-by-step explanation:
Let the two consecutive number be x-1 and x
If their product is 1295, then;
x(x-1) = 1295
x² - x = 1295
x²-x - 1295 = 0
x = 1±√(-1)²-4(-1295)/2
x = 1±√1+5180/2
x = 1±71.98/2
x = 72.98/2
x = 36.49
x - 1 = 35.49
Hence the two numbers are 36.49 and 35.49
Brayden has 342 marbles in bags. If there are 9 marbles in each bag, how many bags of marbles does Brayden have If Brayden gives away 15 of his bags of marbles, how many bags does he have left
What additional information is obtained by measuring on an interval scale compared to an ordinal scale?
Answer:
Step-by-step explanation:
From the given information.
An ordinal scale measurement does not give room to know the actual difference that coexists between the two measurements in a variable but in an interval scale of measurement, it is possible to deduce the actual difference that coexists between the two measurements in a variable.
Similarly, the ordinal scale only shows the rank of observations as per size and magnitude but in case of interval scale, it consists of classes with equal size, differentiated into direction and magnitude.
Find the x intercept
Point a is located at (2,6) and D is located at (-4, 10)
pls look at this picture and answer
Answer:
625
Step-by-step explanation:
k+2 ≥ 5 i need the answer pls
Answer: dont know
Step-by-step explanation:
what is 3.6+ 52.3 = to
Answer:
3.6+52.3= 55.9
Step-by-step explanation:
Answer: Hope this helps :)
Step-by-step explanation:
3.6 + 52.3 = 58.9
The triangle is rotated 90° clockwise around the point (0,0).
What will be the coordinates of the image of point L after the rotation?
Answer:
(2, 6)
Step-by-step explanation:
You can see visually that if the point (-6, 2) is rotated 90° clockwise, the resulting position will be (2, 6)
The school population for a certain school is predicted to increase by 80 students per year for the next 14 years. If the current enrollment is 800 students, what will the enrollment be after 14 years?
Answer: If im not wrong it should be 1920
Step-by-step explanation:
Which statement describes how to determine if a relation given in a table is a function?
If none of the output values are repeated, the relation is a function.
If none of the input values are repeated, the relation is a function.
If any of the input values are equal to the output values, the relation is a function.
If all the output values are paired with the same input value, the relation is a function.
Answer:
If none of the input values are repeated, the relation is a function.
Step-by-step explanation:
When all outputs have a different input, its a function.
Answer:
B
Step-by-step explanation:
Did it on edge 100%
helllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllp
Answer:
y + 6 = 3/5(x - 4)
Step-by-step explanation:
Point-slope is the general form y-y₁=m(x-x₁)
y1 = -6, x1 = 4
y - (-6) -> y +6
y +6 = 3/5(x - 4)
Estimate the square root to the nearest (a) integer and (b) tenth.
[tex]\sqrt{27/4}[/tex]
a.neartest integer:____
b.nearest tenth:_____
Answer:
√(27/4) = 2.6
=> a.neartest integer: 2
b.nearest tenth: 6
Step-by-step explanation: