Answer:
B
Step-by-step explanation:
If the pizza is cut into 6 slices, then 4/6 of a pizza is 4 slices. If each person eats one slice, 4 persons can be fed.
Calvin's credit card computes finance charges using the daily balance method. His card has a billing cycle of 30 days and an APR of 14.75%. The following table details Calvin's transactions in the month of September. Date 9/1 Amount ($) Transaction 716.54 Beginning balance 84.94 Purchase 977 9/12 Purchase 15.69 200.00 9/20 Payment What will Calvin's starting balance be next month? a. $617.17 b. $624.74 c. $625.91 d. $623.52
Answer:
c. 625.91
Step-by-step explanation:
took the quiz an got 100%
The starting balance is $625.91 if the card has a billing cycle of 30 days and an APR of 14.75%. Option (C) is correct.
What is APR?The full name of APR is the annual percentage rate. It is defined as the percentage rate applied on the borrowing money in the form of interest, but APR has applied annually.
We have:
His card has a billing cycle of 30 days and an APR of 14.75%.
Here the list data is not mentioned, clearly. Transactions with the amount.
As we know, the APR is the annual percentage rate, which is 14.75%.
Monthly percentage rate = 14.75/12 = 1.22%
But we can calculate the new balance with the formula:
Previous Balance + Finance Charge + New Purchases - (Payments + Credits) = New Balance
Thus, the starting balance is $625.91 if the card has a billing cycle of 30 days and an APR of 14.75%. Option (C) is correct.
Learn more about the APR here:
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An apple pie is divided into eight equal slices with each slice being 280 calories. How much calories are in the entire pie
Answer:
2240
Step-by-step explanation:
280*8= 2240
What is the density of Iron Ore (Hematite)? Mass = 30g: Volume = 3.02
cubic cm. Round to TWO decimal places.
Answer:
9.93g/cb cm
Step-by-step explanation:
Density = mass/volume
= 30g/3.02cb cm
= 9.93g/cb cm
Write the standard form of the line that passes through (-1,-3) and (2,1).
Answer:
Step-by-step explanation:
[tex]\mathrm{Line\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Find\:the\:line\:}\\\mathbf{y=mx+b}\mathrm{\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Compute\:the\:slope\:}\left(-1,\:-3\right),\:\left(2,\:1\right):\quad \\m=\frac{4}{3}\\\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-1,\:-3\right),\:\left(x_2,\:y_2\right)\\\left\\[/tex]
[tex]\\m=\frac{1-\left(-3\right)}{2-\left(-1\right)}\\\\Refine\\\\m=\frac{4}{3}\\\\\mathrm{Compute\:the\:}y\mathrm{\:intercept}:\quad b=-\frac{5}{3}\\\\y=\frac{4}{3}x-\frac{5}{3}\\[/tex]
Convert equation to standard form
[tex]y - \frac{4}{3} x + \frac{5}{3} = 0\\\\Multiply \:through\: by\: 3;\\\\3\times (y - \frac{4}{3} x + \frac{5}{3} )=0\\\\3y -4x+5 = 0\\Arrange\:n\:form\:of \:;\\Ax +By = C\\\\-4x +3y =-5[/tex]
357,335 rounded to the nearest ten
Answer:
357,340
35 is the tens place, and if it is 5 or larger we round up to in this case, 40
Answer:
357340
Step-by-step explanation:
Suppose LCM(a,b) = 20160, a=60. Find the smallest possible value of b.
Answer:
see below
Step-by-step explanation:
given:
LCM(a,b) = 20160, a=60
find:
smallest possible value of b
solution;
60, b = 20,160
b = 20,160 / 60
b = 336
60 x 336 = 20,160
= 2⁶ x 3² x 5 x 7
= (2² x 3 x 5) x (2⁴ x 3 x 7)
= (60) x (336)
LCM(60,336) = 1680
consider the 2² x 3 to get the prime number:
= 336 x 12
= 4032
therefore,
LCM(60,4032) = 20160
The smallest possible value of b is 336.
What is Prime Factorization?Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.
We have been given that
LCM(a,b) = 20160 and a = 60
We have to determine the smallest possible value of b
Since the product of two numbers equals the product of their HCF and LCM.
⇒ 60 × b = 20,160
⇒ b = 20,160 / 60
⇒ b = 336
⇒ 60 × 336 = 20,160
We need to write 20160 as the product of its prime factors, which is 20160.
⇒ 2⁶ × 3² × 5 × 7
⇒ (2² × 3 × 5) x (2⁴ × 3 × 7)
⇒ (60) × (336)
⇒ LCM(60,336) = 1680
Therefore, the smallest possible value of b is 336.
Learn more about the Prime Factorization here:
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Convert 4 meters to inches
Answer:
157.48
Step-by-step explanation:
1 metre = 39.37 inches(Approx.)
=> So, 4 metres= 4 * 39.37 = 157.48
Answer:
158in
Step-by-step explanation:
1m = 39.37
So,
4m = 4*39.37
= 157.48 = 157.5 = 158in
Combine like terms
3x + 2x + 11y - 7y
Help
Answer:
5x + 4y
Step-by-step explanation:
3x + 2x = 5x
11y - 7y = 4y
The sum of 2 times a number and 4 is equal to 8
Answer:
2x + 4 = 8
Step-by-step explanation:
This is the answer because:
1) 2 times a number is representing 2 multiplied with an unknown number, so we can use a variable (x) to represent the number
2) "and" is representing adding. Therefore, 2x + 4 is what is representing the sentence "The sum of 2 times a number and 4"
3) Finally, "equal to 8" is representing how the expression: 2x + 4 is eual to 8
Therefore, the correct equation is 2x + 4 = 8
Hope this helps!
10 Two factory workers win the in-house raffle with a prize of £240. Monika and Robert share the prize money in a ratio of
3:5. How much does Monika get?
(a) £120
(b) £200
(c) £60
(d) £90
Answer:
(d) £90
Step-by-step explanation:
Total raffle prize = £240
Ratio of sharing
Monika : Robert
3 : 5
The amount Monika get is calculated as
3/(3 + 5) × £240
= 3/8 × £240
= 3 × 30
= £90
Therefore, the amount Monika gets is £90
Simplify 6(1/4+5/2)-2
Answer:
14 1/2 or 29/2
10x + 36 = 8x -36
What is x?
Answer:
x= -36
Step-by-step explanation:
Hope this helps.
Answer:
[tex]x = -36[/tex]
Step-by-step explanation:
Solve for [tex]x[/tex] :
[tex]10x + 36 = 8x - 36[/tex]
-Subtract [tex]8x[/tex] from [tex]10x[/tex] :
[tex]10x - 8x + 36 = 8x - 8x - 36[/tex]
[tex]2x + 36 = -36[/tex]
-Subtract both sides of the equation by [tex]36[/tex] :
[tex]2x + 36 - 36 = -36 -36[/tex]
[tex]2x = -72[/tex]
-Take [tex]2x[/tex] divide it on both sides:
[tex]\frac{2x}{2} = \frac{-72}{2}[/tex]
[tex]x = -36[/tex]
So therefore, the value of [tex]x[/tex] is [tex]-36[/tex].
Find two consecutive integers whose product is 12.
Last week, Benjamin spent $82.80 on groceries and $132.48 on bills. The amount he spent on groceries
was 15% of his paycheck. What percent of his paycheck did Benjamin spend on bills?
Answer:
amount spend on groceries = 82.80
percent spend in groceries = 15%
let total paycheck be x
15%of x= 82.80
x=552
percent spend on bills = 132.48/552 = 24%
Step-by-step explanation:
Select all the statements that are true.
Answer:
Sqrt(7) is irrational because 7 is not a perfect square.
7.1234... is irrational because it is a nonterminating nonrepeating decimal.
Step-by-step explanation:
A rational number is a number that can be expressed in terms of fractions which result in terminating decimals, repeating decimals, or integer values.
An irrational number is a number that cannot be expressed in terms of fractions resulting in nonrepreating nonterminating decimals.
All options other than the two selected do not make sense. Pi is irrational because it is a nonrepeating nonterminating decimal.
Cheers.
Gabby bought 5.15 kg of apples and 1.6 kg of oranges how much fruit did she buy in all
Answer:
6.75kg of fruit
Step-by-step explanation:
5 + 1 = 6
.15 + .6 = .75
6 + .75 = 6.75
Answer:
6.75
Step-by-step explanation:
Add 5.15 and 1.60
5.15
1.60
6.75
Round to the nearest cent.
$24.373
Answer:
$24.400
Step-by-step explanation:
it means you should round to hundredth place
$24.37
It is 2.1 km from Mary's house to the nearest mailbox. How far is it in meters?
It is 2.1 km from Mary's house to the nearest mailbox.
To Find:How far is it in metres.
Conversion:1 km = 1,000 m
2 km = 2 × 1,000 = 2,000 m
Solution:2.1 km = ( 2,000 + 100 ) m = 2,100 m
Answer:2,100 m
Therefore, It is 2,100 metre far away from Mary's house.
Lila works 40 hours a week and earns $9 an hour . Her baby stays with a sitter during the hours Lila works . Lila pays the sitter $5 an hour . After paying the sitter , how much of her paycheck does Lila have left
Answer: $160
Step-by-step explanation: If she works 40 hours a week, than that is $360 a week, if she pays the sitter $5 a week, then that means she pays the sitter $200 a week. Subtract and you get $160.
A recipe says that 2 cups of dry rice will serve 6 people. How many cups of rice are needed to serve 45 people?
(Please Help)
Answer:
7.5 cups pf rice
Step-by-step explanation:
45 divided by 6
Lucas ran 9 miles in 3/4 of an hour. He took a break then returns by traveling that same 9 miles in 2/3 of an hour. How many more miles can lucas run per hour with his new rate
Answer:
He can run more 4.5 miles [total 13.5 miles in one hour]
Step-by-step explanation:
check the attachment for explanation
The Cubs have won
7 out of their last 11
games. What's the
ratio of games lost to
games played?
First you need to figure out the games the Cubs lost. 11-7=4, so they lost 4 games.
Now you must plug in the ratio of games lost to games played. You know they lost 4 games and played 11, so the ratio would be 4:11.
I hope you find this helpful :)
What is This Math Problem Equal To? 2×10+80÷2?
it is equal to 60 using pemdas
can you help me please!!!!
please!!!! :)
Answer:
Qn.1
{4,5,6,7,8,9,12,15,16}is ans of 1
{8,9}is ans of 2
{4,5,6,7,8,9,18,20}is ans of 3
{}Is the ans of 4
{8,9,12,15,16,18,20}is ans of 5
{}is ans of 6
{4,5,6,7,8,9,12,15,16,18,20} is ans of 7
{8,9,12,15,16} is ans of 8
Qn.2
{0,12}is ans of 9
{0,2,10,12}is ans of 10
{0,4,6,8,12}is ans of 11
{2,4,6,8,10}Is ans of 12
{}is ans of 13
{0,12}is ans 14
{0,12} is ans 15
{0,2,10,12} is ans of 16
{0,12} is ans of 17
{0,12} is ans of 18
{2,10} is ans of 19
{4,6,8} is ans of 20
I haven't made the symbol of union and intersection because i don't how to make.
it may help you at your work
The temperature at 7:00 a.m. was -5°F. By 4:00 p.m., the temperature had risen 9
degrees and by 10:00 p.m. the temperature dropped 11 degrees. What was the
temperature at 10:00 pm?
4°F
- 16°F
O
-7°F
25°F
Answer:
The answer is -7 degrees. :)
Step-by-step explanation:
-5+9-11=7
Answer:
I would say -7 degrees
Step-by-step explanation:
Mickey used these calculations to find how much he would spend on 7 cartons of eggs, if 12 cartons of eggs cost $22.20. Describe his error. 12 cartons(÷22.20) $22.22(÷22.20) Unit price = $0.54 $0.54(7) = $3.78
Answer:
Sample student response: Mickey set up the equivalent rate wrong. The cartons of eggs should be in the denominator, because you need to find the unit price for 1 carton of eggs.
Step-by-step explanation:
Sample student response: Mickey set up the equivalent rate wrong. The cartons of eggs should be in the denominator, because you need to find the unit price for 1 carton of eggs.
Answer:
Mickey set up the equivalent rate wrong. The cartons of eggs should be in the denominator, because you need to find the unit price for 1 carton of eggs.
what the facters of 18
☽------------❀-------------☾
Hi there!
~
[tex]1, 2, 3, 6, 9, 18[/tex]
The factor pairs of 18 are:
[tex]1 \times 18 = 18\\2 \times 9 = 18\\3 \times 6 = 18[/tex]
❀Hope this helped you!❀
☽------------❀-------------☾
Answer:
1, 2, 3, 6, 9, 18
Step-by-step explanation:
1*18=18
2*9=18
3*6=18
There are no other factors, Hope this helps!!
This is due tonight and I am struggling with a couple of questions. This is one. Please help
Answer:
x = 4.2
Step-by-step explanation:
72 + 10x = 114
10x = 114 - 72
10x = 42
x = 42/10
x = 4.2
Answer:
x = 4.2
Step-by-step explanation:
x is equal to 4.2 because ∠PQR and ∠RQS have a sum of 114° so if you subtract 72 from 114 you get 42. Now if you simply divide 42 by 10 you get 4.2.
Add parentheses to the equation below so that x = 90. 3 + 2^2 /4 - 10 = x
Answer:
(3+2)²*4-10=x
Step-by-step explanation:
If it was a typo and is actually times 4, not divided by 4, then here is the answer:
(3+2)²*4-10=x
5²*4-10=x
25*4-10=x
100-10=x
90=x
If it actually was divided by 4, I don’t see any way it can be done.
Answer:
B
Step-by-step explanation:
(3+2)²*4-10=x
Izzy is calculating the amount of time it takes a rocket to get to the moon. The moon is around 239,000 miles from Earth. How many hours would it take a rocket that can travel at 500
miles per minute to travel to the moon? Round to the nearest hour
8 hours
20 hours
478 hours
28,680 hours
Answer:
478 hours
Step-by-step explanation:
You would divide 239,000 by 500.