Answers
Answer:
Step-by-step explanation:
They are alike because both involve steps for multiplication and addition but part b uses factoring in its estimation to solve the problem while part c dosesn't.
Related Questions
Find the remainder when f(x) = 2x3 − 12x2 + 11x + 2 is divided by x − 5.
Answers
Answer: I couldn’t find your answer to this mathematics question, try a different question to this mathematics answer so I can get it.
Step-by-step explanation:
Answer:
Its 7 pls brainliest
Step-by-step explanation:
Sam had $300 saved to buy a computer. The computer cost $750. If he works for 3 months, how much does he need to earn every month to
buy the computer? The amount he would earn every month will be the same.
a
Ob
$150
$250
Ос
$250
Answers
Answer:
$150 every month
Step-by-step explanation:
750
-300
$450/3
=$150
Determine which expression is equivalent to 15a + 6. (5 points)
a
3(5a + 6)
b
3(5a + 2)
c
5(3a + 6)
d
5(3a + 2)
Question 2 (5 points)
(03.01 LC)
Excellence Middle School charges $6.25 for students from all grade levels to attend the school dance. If s represents the number of seventh grade students who came to the dance and g represents the number of eighth grade students at the dance, which expression best represents the total money collected for attending the dance. (5 points)
a
6.25s + g
b
6.25(s + g)
c
13.50(s + g)
d
13.50s + g
Question 3 (5 points)
(03.01 LC)
Ken and Paul have been mowing lawns to earn extra money. Their jobs earn $65 per week. Ken worked for x weeks and earned an extra $18. Paul worked for y weeks. From the expressions below, select one that determines the total amount that Ken and Paul earned mowing lawns. ? (5 points)
a
83x + 65y
b
65x − 18 + 65y
c
60x + 83y
d
65x + 18 + 65y
Question 4 (5 points)
(03.02 MC)
Michelle and her friends wondered who had the most pop albums in their music collection. She recorded the information below:
Music Collection Survey
Name Number of Pop Albums Total Number of Albums in the collection
Michelle 33 60
Sasha 36 78
Kat 40 89
Monica 24 59
Based on the survey, which friend had the greatest percentage of pop albums? (5 points)
a
Michelle
b
Sasha
c
Kat
d
Monica
Question 5 (5 points)
(03.02 MC)
Lynne was wondering which game was more popular so she aksed her friend which they liked to play more, FortNite or Among Us. She found that of the 80 people who responded, 0.55 of them preferred FortNite, and 30% of them preferred Among Us. How many more of her friends prefer FortNite than Among Us? (5 points)
a
30
b
20
c
44.45
d
5
Question 6 (5 points)
(03.02 MC)
Hulk, Iron Man, Thor, and Captain America together clean out evil from 60 cities. Hulk cleaned up 0.25 of the cities, Iron Man cleaned up 12 of the 60 cities, Thor cleaned 35% of the cities, and Captain America cleaned up the the remaining cities. Who cleaned up the most cities? (5 points)
a
Hulk
b
Iron Man
c
Thor
d
Captain America
Question 7 (5 points)
(03.04 MC)
Solve for x: (5 points)
a
12
b
−12
c
-35
d
35
Question 8 (5 points)
(03.04 MC)
Clark Kent needs to buy some new glasses. He has $70 to spend and the glasses that he wants only costs $30. He wants to spend the remainder of his money on new capes. Each cape costs $8. Which inequality represents the number of capes he can purchase? (5 points)
a
x ≥ 5
b
x ≤ 11
c
x ≤ 5
d
x ≥ 11
Question 9 (5 points)
(03.04 LC)
Find the equation that can represent the situation if the sum of two numbers is 32. We also know that the greater number is 5 more than the smaller number. (5 points)
a
x + (x + 5) = 32
b
x − (x + 5) = 32
c
x(x + 5) = 32
d
x(x − 5) = 32
Question 10 (5 points)
(03.05 MC)
SpongeBob needs $44 to buy a new pair of rectangle pants. He has already been able to save $9 and plans to work as a cook where he can earn $7 per hour. Which inequality shows the minimum number of hours, n, that SpongeBob will have to work as a cook to earn enough to buy the rectangle pants? (5 points)
a
9 + 7n ≤ 44, so n ≤ 5
b
9 + 7n ≥ 44, so n ≥ 5
c
7n ≥ 44 + 9, so n ≥ 7.8
d
7n ≤ 44 + 9, so n ≤ 7.8
Question 11 (5 points)
(03.05 MC)
Jesse sells clothes in the Yee Haw! Western Clothing store and earns $40 per day. She earns an extra $5 for each lasso she sells. If Jesse wants to earn at least $70 per day, which inequality shows the minimum number of lasso, n, that she would need to sell? (5 points)
a
40 + 5n ≤ 70, so n ≤ 6
b
40 + 5n ≥ 70, so n ≥ 25
c
40 + 5n ≤ 70, so n ≤ 25
d
40 + 5n ≥ 70, so n ≥ 6
Question 12 (5 points)
(03.05 MC)
Defne was looking online and saw some some cakes that looked delicious. Each cake costs $10.01 and has a shipping cost of $9.96 per order. If Defne wants to spend no more than $50 for the cakes, which inequality shows the maximum number of cakes, c, Defne can buy?(5 points)
a
9.96p − 10.01p ≤ 50, so p ≤ 1
b
9.96p + 10.01p ≤ 50, so p ≤ 2
c
9.96 − 10.01p ≤ 50, so p ≤ 3
d
9.96 + 10.01p ≤ 50, so p ≤ 4
I NEED HELP (ASAP)
Answers
Answer:
1. [tex]Expression: 3(5a + 2)[/tex]
2. [tex]Total\ charges = 6.25(s+g)[/tex]
3. [tex]Total = 65x + 18 + 65y[/tex]
4. Michelle
5. 20 friends
6. Thor
8. [tex]x\leq 5[/tex]
9. [tex]x + x + 5 = 32[/tex]
10. [tex]7n + 9 \leq 44[/tex] so: [tex]n \leq 5[/tex]
11. [tex]40 + 5n \leq 70[/tex] So: [tex]n \leq 6[/tex]
12. [tex]10.01 p + 9.96 \leq 50[/tex] so [tex]p \leq 4[/tex]
Step-by-step explanation:
1. Given
[tex]Expression: 15a + 6[/tex]
Required
Determine the equivalent expression
[tex]Expression: 15a + 6[/tex]
Expand:
[tex]Expression: 3 * 5a + 3 * 2[/tex]
Factorize:
[tex]Expression: 3(5a + 2)[/tex]
Hence, the equivalent expression of the given expression is [tex]3(5a + 2)[/tex]
2.
Given
[tex]Charges = \$6.25[/tex]
s = seventh grade students
g = eight grade students
Required
Determine the total charges
First, we need to calculate the total number of charges:
[tex]Total=s+g[/tex]
[tex]Total\ charges = Charges * Total[/tex]
[tex]Total\ charges = 6.25(s+g)[/tex]
3. Given
Ken
[tex]Duration = x\ weeks[/tex]
[tex]Extra\ Earnings = \$18[/tex]
[tex]Weekly\ Earnings = \$65[/tex]
Paul
[tex]Weekly\ Earnings = \$65[/tex]
[tex]Duration = y\ weeks[/tex]
Ken's total charges is:
[tex]Weekly\ Earnings * Duration + Extra\ Earnings[/tex]
[tex]65 * x + 18[/tex]
[tex]65x + 18[/tex]
Paul's total charges is:
[tex]Weekly\ Earnings * Duration[/tex]
[tex]65 * y[/tex]
[tex]65 y[/tex]
[tex]Total = Ken + Paul[/tex]
[tex]Total = 65x + 18 + 65y[/tex]
4.
To calculate the percentage, we simply divided the number of pop albums by the total number of albums.
For Michelle.
[tex]\%Pop = \frac{33}{60} * 100\%[/tex]
[tex]\%Pop = \frac{3300\%}{60}[/tex]
[tex]\%Pop = 55\%[/tex]
For Sasha
[tex]\%Pop = \frac{36}{78} * 100\%[/tex]
[tex]\%Pop = \frac{3600\%}{78}[/tex]
[tex]\%Pop = 46.2\%[/tex]
For Kat:
[tex]\%Pop = \frac{40}{89} * 100\%[/tex]
[tex]\%Pop = \frac{4000\%}{89}[/tex]
[tex]\%Pop = 44.9\%[/tex]
For Monica:
[tex]\%Pop = \frac{24}{59} * 100\%[/tex]
[tex]\%Pop = \frac{2400\%}{59}[/tex]
[tex]\%Pop = 40.7\%[/tex]
From the calculation above, Michelle has the highest percentage of Pop music
5.
[tex]People = 80[/tex]
[tex]Fortnite = 0.55[/tex]
[tex]Among\ Us = 30\%[/tex]
Required
Determine number of friends that prefer fortnite more than among us
First, we need to calculate the number of people that prefer Fortnite.
[tex]Fortnite = 0.55 * 80[/tex]
[tex]Fortnite = 44[/tex]
Next, we need to calculate the number of people that prefer Among Us.
[tex]Among\ Us = 30\% * 80[/tex]
[tex]Among\ Us = 24[/tex]
The difference is:
[tex]Difference = 44 - 24[/tex]
[tex]Difference = 20[/tex]
Hence, 20 more people preferred Fortnite to Among Us
6.
[tex]Hulk = 0.25[/tex]
[tex]Iron\ Man = 12[/tex]
[tex]Thor = 35\%[/tex]
Captain America cleaned the rest
[tex]Total = 60[/tex]
Number of cities by each is:
[tex]Hulk = 0.25 * 60[/tex]
[tex]Hulk = 15[/tex]
[tex]Iron\ Man = 12[/tex]
[tex]Thor = 35\%[/tex]
[tex]Thor = 35\% * 60[/tex]
[tex]Thor = 21[/tex]
[tex]Captain\ America = 60 - 15 -12 - 21[/tex]
[tex]Captain\ America = 12[/tex]
By comparison, Thor cleaned the highest number of cities
7. This question is not clear
[tex]Total = \$70[/tex]
[tex]Glass = \$30[/tex]
[tex]Each\ Cape = \$8[/tex]
Let the number of cape be x.
We have that:
[tex]8 * x + 30 \leq 70[/tex]
[tex]8 x +\leq 70 - 30[/tex]
[tex]8 x +\leq 40[/tex]
[tex]x\leq 5[/tex]
9.
Let the first number be x and the second be y
[tex]x + y = 32[/tex]
[tex]y = x + 5[/tex]
Substitute x + 5 for y in the first equation
[tex]x + x + 5 = 32[/tex]
10.
[tex]Savings = \$9[/tex]
Earnings = $7 per hous
Total = $44
The inequality is:
[tex]7 * n + 9 \leq 44[/tex]
[tex]7n + 9 \leq 44[/tex]
[tex]7n \leq 44 - 9[/tex]
[tex]7n \leq 35[/tex]
[tex]n \leq 5[/tex]
11.
Earnings = $40
Extra = $5 per lasso
Total Earnings = At least $70 daily
The inequality is:
[tex]40 + 5n \leq 70[/tex]
[tex]5n \leq 70 - 40[/tex]
[tex]5n \leq 30[/tex]
[tex]n \leq 6[/tex]
12.
[tex]Each\ Cake = \$0.01[/tex]
[tex]Shipping = \$9.96[/tex] per order
[tex]Available = \$50[/tex] --- maximum
The inequality is:
[tex]10.01 * p + 9.96 \leq 50[/tex]
[tex]10.01 p + 9.96 \leq 50[/tex]
[tex]10.01 p \leq 50 - 9.96[/tex]
[tex]10.01 p \leq 40.04[/tex]
[tex]p \leq 4[/tex]
13) The sum of two numbers is 90. If one of the numbers is x, express the other number in
terms of x. (Use the 1-2-3 Magic method to help you. Use a table!)
Answers
Answer:
y = 90 - x
Step-by-step explanation:
x + y = 90
y = 90 - x
35% of Mr. Chen's class loves the new Gym. He has 80 students in his class. How many of Mr. Chen’s students did not like the gym?
Answers
65% did not like the gym class.
So 65% of 80 is 52.
Answer:
52
Step-by-step explanation:
35% of 80= 28
28 people loves gym
80-28=52
52 people doesn't love the gym
Avery biked 6 miles on Tuesday, 4 miles on Wednesday, and 8 miles on Saturday. If she hopes to bike a total of 25 miles for the week, how many miles should Avery bike on Sunday?
Answers
Answer:
25-6-8-4=7miles
Step-by-step explanation:
7 miles should Avery bike on Sunday.
What is Distance?Distance is a measure of how much path is covered by an object in motion.
Given that, Avery biked 6 miles on Tuesday, 4 miles on Wednesday, and 8 miles on Saturday, she hopes to bike a total of 25 miles for the week.
The distance Avery already covered = 6+4+8 = 18 miles
Distance yet to cover = 25 - 18 = 7 miles
Hence, 7 miles should Avery bike on Sunday.
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PLEASE HELP ME!!! ASAP!! ITS ALMOST DUE!!
Answers
Answer:
I'm pretty sure it's the first one. If i'm wrong i am terribly sorry
Step-by-step explanation:
Answer:
Y-intercept is -6 and the slope is 1
Step-by-step explanation:
You can use Y2-Y1/X2-X1 to find the slope. Then, you can use y=mx+b to find the y-intercept.
3 If the function f(x)=2x-3 and g(x)=x+1 then which of the following is a true statement? 2 (1) f(0)>g(0) (3) f (8)=g(8) (2) f(2)=g(2) (4) g(4)< f(4)
Answers
Answer:2(1)
Step-by-step explanation:
Which expression could be used to represent the following situation? A hiker is moving down a mountain 24 feet every
hour for 3 hours
A 3 x 24
B- 3 x 24
C-24 x 3
D-24 x -3
Answers
Answer:
A
Step-by-step explanation:
between which two consecutive whole numbers does the square root 72 lie?
Answers
Answer:
8 and 9
Step-by-step explanation:
8 squared is 64
9 squared is 81
since 72 lies between 64 and 81, then the square root must lie between 8 and 9
Lila has $35.55. She buys a magazine for $3.15, a cookie for $2.20, and a shirt for $14.99. She also gets $5 from a friend. How much money does she have after the above transactions?
A)$10.21
B)$14.61
C)$16.51
D)$20.21
Answers
Answer:
$20.21
Step-by-step explanation:
$35.55 - $3.15 = $32.40
$32.40 - $2.20 = $30.20
30.20 - $14.99 = $15.21
$15.21 + $5.00 = $20.21
The answer is D
$35.55 - $3.15 = $32.4 $32.4 - $30.2 $30.2 - $14.99 = $15.21 $15.21 + $5 = $20.21
Four movie tickets cost $30.00. Five concert tickets cost $36.50. Does the
movie or the concert cost less per ticket? How much less?
Answers
Answer:
The Concert Tickets are less. Concert Tickets cost 7.30 per ticket and is 20cents different from the movie tickets.
Step-by-step explanation:
Movie Tickets : 4
30.00/4 = 7.50$
Concert Tickets : 5
36.50/5 = 7.30$
Hope this helps <3
Answer:
. Concert Tickets cost 7.30
Step-by-step explanation:
Can sum1 hurry and give me the answers to theses pls !!
Answers
Answer:
i dont understand what you want us to do lol?
Step-by-step explanation:
Answer:
Step-by-step explanation:
do u have an actual pictrue of problem 8 & 10 ?
The formula for the area of a rhombus is A= 1/2d1d2, where d1 and d2 are the length of the diagonals
Answers
Answer:
Didn't you mean A = (1/2)d1d2 ?
If so, clear out the fraction by mult. both sides of the eqn by 2:
2A = d1*d2
Now isolate d1 by div. both sides of this result by d2:
2A
------ = d1 (answer)
d2
Step-by-step explanation:
Evaluate 2/g + 2h + 5 when g=3 and h=6
Answers
Answer:
17 2/3
Step-by-step explanation:
2/g + 2h + 5 when g = 3 and h = 6
~Substitute
2/3 + 2(6) + 5
~Simplify
2/3 + 12 + 5
~Add
12 2/3 + 5
~Add
17 2/3
Best of Luck!
Which point on the number line could represent Negative 2 and one-fourth?
Answers
Answer:B
Step-by-step explanation:
compare the fraction 3/5 to 1/2
Answers
Answer:
1 / 2 is smaller than 3 / 5.
Step-by-step explanation:
Compare 1/2 and 3/5. 1 / 2 is smaller than 3 / 5. Steps for comparing fractions. Find the least common denominator or LCM of the two denominators: LCM of 2 and 5 is 10; For the 1st fraction, since 2 × 5 = 10, 1 / 2 = 1 × 5 / 2 × 5 = 5 / 10; Likewise, for the 2nd fraction, since 5 × 2 = 10, 3 / 5 = 3 × 2 / 5 × 2 = 6 / 10 Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
a cook has 6 1/2 cups of sliced carrots
how many 3/4 cup servings of carrots is this
Answers
8 2/3 cup servings of carrot.
Explanation
Divide 61/2 by 3/4
Answer:8 2/3
Step-by-step explanation:
Which expression is equivalent to 20y - 5
A. 4(5y-1)
B. 20(y-5)
C. 5(4y-1)
D. y(20-5)
Answers
9514 1404 393
Answer:
C. 5(4y-1)
Step-by-step explanation:
The answer choices are all factored forms. The only common factor in 20y-5 is 5, so the factored form with 5 as a factor is the appropriate one:
5(4y -1)
answer choices are
A B C D
if you could, please add an explanation.
Answers
Answer:
d
Step-by-step explanation:
In the past year Rita watched movies 48 that she thought were very good. She watched 60 movies over the whole year. Of the movies she watched, what percentage did she rate as very good?
Answers
Answer:
80%
Step-by-step explanation:
Divide 48 by 60
48/60
(PLS HELP!!)
You notice a hot air balloon ascending. The elevation h (in feet) of the balloon is modeled by the function h (x) = 6x + 90, where x is the time (in seconds) since you first noticed the hot air balloon.
Graph the function and specify its domain and range. Then interpret the slope and intercept of the
graph.
Answers
Answer:r
Step-by-step explanation:
ty
The slope of the line will be 6 and its [y] - intercept will be 90. Refer to the graph attached for more clearance.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation y = Kx also represents direct proportionality. Here, K is called constant of proportionality. It is same as slope.
Given is the elevation [h] (in feet) of the balloon which is modeled by the function h(x) = 6x + 90, where [x] is the time (in seconds) since you first noticed the hot air balloon.
We have the following equation -
y = 6x + 90
Refer to the graph attached.
The line passes through the points (-15, 0) and (0, 90). So, the slope of the line will be -
m = 90/15
m = 6
AND
[y] - intercept will be 90.
Domain → (0, ∞) and range → (0, ∞) for ideal situations.
Therefore, the slope of the line will be 6 and its [y] - intercept will be 90.
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Sandy has one year of college left and she'll need a loan for $6,600 to finish her degree. She uses the following formula to determine her monthly payment with a 6% annual interest rate for 3 years. P=6600⋅0.061−(1+0.06)−36
Answers
what is the rate and unit rate of 13 inches of snow in 7 hours
Answers
Answer:
1 6/7 inches of snow in 1 hour
Step-by-step explanation:
13 divided by 7 is 1 6/7
m(p + q); use m = 2, p = 6, and q = 1
Answers
m(p+q)
2(6+1)
2(7)
14
Answer: 14
Step-by-step explanation:
If they say that m(p+q) = 2(6+1) then we take what is in the parenthasis first (6+1) then we get (7). After that take m=2 times 7= 14
el señor y la señora la señora mostaza tiene 6 hijas cada uno tiene un hermano Cuántos son en total en la familia
Answers
Queremos ver cuantos miembros hay en la familia, veremos que son 10 en total.
Primero conocemos al señor y la señora Mostaza, es decir, tenemos dos personas.
Luego se nos dice que tienen 6 hijos, entonces ahora tenemos:
6 + 2 = 8 personas en total.
Finalmente, sabemos que tanto el señor Mostaza como la señora Mostaza tienen un hermano, es decir, sumamos otras 2 personas para obtener:
8 + 2 = 10 personas en total.
Así podemos concluir que hay 10 personas en la familia.
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Consider the equation 2y - 4x = 12
Which equation, when graphed with the given equation, will form a system with Infinitely many solutions?
-y-2x = 6
-y=2x = 12
y=2x+6
y=2x + 12
Answers
Answer:
y = 2x + 6 and 2y-4x=12 are the same line, so have infinitely many solutions.
Step-by-step explanation:
2y - 4x = 12
This is the same as y = 2x + 6
The solution is Option C.
The value of the equation is y = 2x + 6
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
2y - 4x = 12 be equation (1)
On simplifying the equation , we get
Adding 4x on both sides of the equation , we get
2y = 4x + 12
Divide by 2 on both sides of the equation , we get
y = 2x + 6
Hence , the equation is y = 2x + 6
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The populations P (in thousands) of a certain town in North Carolina, from 2006 through 2012 can be modeled by
P = 5.5e^kt,
where t is the year, with
t = 6
corresponding to 2006. In 2008, the population was 7000.
Find the value of k for the model. Round your result to four decimal places.
Use your model to predict the population in 2018. (Round your answer to the nearest person.)
Answers
Answer:
k= 0.8936P = 53198890Step-by-step explanation:
In 2008
t = 8P= 7000As per equation, P = 5.5e^kt
7000 = 5.5e^(8k)e^(8k) = 7000/5.5e^(8k) = 1272.7272ln e^8k = ln 1272.72728k = 7.14891k= 7.14891/8k= 0.8936In 2018, t= 18, k= 0.8936
P = 5.5e^(18*0.8936)P = 53198890Use <,>, or = to compare the value.
0.4______ 1/4
Answers
Answer:
>
Step-by-step explanation:
Answer: >
Step-by-step explanation: Because 1/4 as a decimal is .25 and you can change the 0.4 to 0.40; they are the same thing. And .40 is greater than .25
ASAP pls help need help
Answers
Answer:
one point five hundred sixteen thousandths
Step-by-step explanation: