Answer:
12 studentsStep-by-step explanation:
Below numbers are divisible by the number of students:
28 - 4 = 2439 - 3 = 36Lets find GCF of 24 and 36:
24 = 2*2*2*336 = 2*2*3*3GCF(24,36) = 2*2*3 = 12The largest possible number of students is 12
I need help please. I do not understand this.
Answer:
B
Step-by-step explanation:
Okay, so we know they can run 1/4 a mile in 25 seconds. Now we want to know how far they can run in a minute ( 60 sec.). Because there is 25 seconds in 60 seconds 2.4 times, we multiply 1/4 by 2.4. We get 0.6. We know that there is 60 minutes in an hour, so we multiply 0.6 by 60. Now we know they can run 36 miles in an hour/ 36 miles per hour. So that eliminates C and D.
Anyways, B is correct because if you divide 1/4 by 25 you get 0.01. Multiply that by 60 to get a minute. (Because there is 60 seconds in a minute) Which is 0.6. Then multiply it again by 60 for an hour( because there is 60 minutes in an hour), and you get 36 hours.
if m<6=×,m<7=×-20,and m<11=80,thenx=
Four tomatoes and eight avocados cost $10. Six tomatoes and fourteen avocados cost $17.
Part A: Determine the price for a single tomato and a single avocado.
Part B: Analyze your results to determine if they are feasible.
Answer:
(a)
A single avocado costs $1
A single tomato costs $0.5
(b)
An avocado costs twice as much as a tomato
Step-by-step explanation:
Represent the tomatoes with T and the avocados with A.
So, we have:
[tex]4T + 8A = 10[/tex] --- (1)
[tex]6T + 14A = 17[/tex] --- (2)
Solving (a): The price of each
Multiply (1) by 1.5
[tex]1.5(4T + 8A = 10)[/tex]
[tex]6T + 12A = 15[/tex] --- (3)
Subtract (3) from (2)
[tex](6T + 14A = 17) - (6T + 12A = 15)[/tex]
[tex]6T - 6T + 14A - 12A = 17 - 15[/tex]
[tex]14A - 12A = 17 - 15[/tex]
[tex]2A = 2[/tex]
Divide both sides by 2
[tex]A = 1[/tex]
Substitute 1 for A in (1)
[tex]4T + 8A = 10[/tex]
[tex]4T + 8(1) = 10[/tex]
[tex]4T + 8 = 10[/tex]
Make 4T the subject
[tex]4T = 10 - 8[/tex]
[tex]4T = 2[/tex]
Divide both sides by 4
[tex]T = \frac{2}{4}[/tex]
[tex]T = 0.5[/tex]
Solving (b): Analysis
In (a), we have:
[tex]T = 0.5[/tex]
[tex]A = 1[/tex]
We can say that an avocado costs twice as much as a tomato
g a club of 12 people would like to choose a person for each office of president, a vice president, and a secretary. How many different ways are there to select the officers so that only one person holds each office
Answer:
220 possible ways
Step-by-step explanation:
Given
[tex]n = 12[/tex] --- people
[tex]r = 3[/tex] -- posts [tex](President, Vice\ President\ and\ Secretary)[/tex]
Required
Determine the number of selection
Since there is no condition attached, the number of selection is:
[tex]Selection = ^nC_r[/tex]
Substitute values for n and r
[tex]Selection = ^{12}C_3[/tex]
Apply combination formula
[tex]Selection = \frac{12!}{(12-3)!3!}[/tex]
[tex]Selection = \frac{12!}{9!3!}[/tex]
[tex]Selection = \frac{12*11*10*9!}{9!*3*2*1}[/tex]
[tex]Selection = \frac{12*11*10}{6}[/tex]
[tex]Selection = \frac{1320}{6}[/tex]
[tex]Selection = 220[/tex]
Hence, there are 220 possible ways
Can someone Help pls!!!
Answer:
{0, infinity)
Step-by-step explanation:
range is always the y coords
(x²+x+1)+(-2x² 3x+5)
Step one: (((x2)+x)+1)+((0-(2x23•x))+5)
Step two: Check for a perfect cube. 2.1 -2x24+x2+x+6 is not a perfect cube.
2.2 Factoring: -2x24+x2+x+6
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: x+6
Group 2: -2x24+x2
Pull out from each group separately :
Group 1: (x+6) • (1)
Group 2: (2x22-1) • (-x2)
The groups have no common factor and can not be added up to form a multiplication.
So the answer would be, -2 (x24) + (x2) ++ 6.
What is the value of x?
Answer:
x in all equations just normally means 1
Step-by-step explanation:
x is always 1
The expression 5(2x - 1) - 3x(2x - 1) when factorized fully is equal to
my name is jeff Step-by-step explanation:
Alice is buying a house with 625K. She is making 20% deposit. And get a mortgage on the balance.A bank offers her two options.
1) 30 year term, fixed interest rate 4%.
2) Pay $10,000 upfront fee to buy down the rate. Still 30 year term, but at 3.75%
Explain your reason.
Answer:
By opting for the second option, Alice would save $ 15,740.00 in total mortgage cost
Step-by-step explanation:
In order to determine the better of the two options available, we need to determine the total cost under each option as follows:
Option 1:
cost of house=$625,000
loan amount=$625,000-(20%*$625,000)=$500,000
loan amount=monthly payment*(1-(1+r)^-n/r
monthly payment is the unknown
r=monthly interest rate=4%/12=0.33333333%
n=number of monthly payments in 30 years=30*12=360
500,000=monthly payment*(1-(1+0.33333333% )^-360/0.33333333%
500,000=monthly payment*(1-0.301795869 )/0.003333333
500,000=monthly payment*0.698204131 /0.003333333
monthly payment=500,000*0.003333333 /0.698204131
monthly payment=$ 2,387.08
total monthly payments=$ 2,387.08*360=$859,348.80
Option 2:
upfront fee=$10,000
loan amount=monthly payment*(1-(1+r)^-n/r
monthly payment is the unknown
r=monthly interest rate=3.75%/12=0.3125%
n=number of monthly payments in 30 years=30*12=360
500,000=monthly payment*(1-(1+0.3125% )^-360/0.3125%
500,000=monthly payment*(1-0.325222459 )/0.003125
500,000=monthly payment*0.674777541 /0.003125
monthly payment=500,000*0.003125 /0.674777541=$2,315.58
Total cost=total monthly payments+upfromt fee
total cost=($2,315.58 *360)+$10,000=$843,608.80
savings by opting for the second option=$859,348.80-$843,608.80
PLEASE HELP ME WILL GIVE BRAINLIEST TO THE RIGHT ANSWER HELP ASAP!!!!!
Using the new scale and starting from the origin, where will point A be?
Answer:
A will be at 6,6
Step-by-step explanation:
I think this because the graph is the same so it most likely will be the at the same position. Hope this is right !
I need help with this
Answer:
Step-by-step explanation:
((((((.5 mile = .25 hour<<<<<<<<<<<<<<<<<<<<<<<<<<
Multiply both sides by 4, because there are 4 quarters in 1 hour
(4)(.5) = (.25)(4)
2 miles =1 hr
Multiply both sides of the original equation by 3 to figure out how far in 3/4 of an hour
(3)(.5) = (3)(.25)
1.5 miles = 3/4 of an hour
now add the two answers together to figure out that the person walked 3.5 miles in 1 3/4 hours
***You also could have multiplied both sides of the original equation by 7, recognizing that that there are 7 quarters in 1.75 hours.
A pail contains a certain amount of water. After Peter used it to fill a 1.5 liter can, a 750 milliliter bottle, and a 2 liter 250 milliliter tin, he realized that he had a liter of water left in the pail. How much water was in the pail at first? Write your answer in liters and milliliters. Show your work.
Answer:
Let the amount of water at beginning be x
x-1.5-0.750-2.250=1
x=5.5 litre
Step-by-step explanation:
Therefore there was 5 litre 5 mililters of water in the pail.
Answer:5500 ml or 5.5 liters
Step-by-step explanation:
First, we should note that there are 1000 milliliters in 1 liter of liquid.
So, in milliliters, Peter filled three containers with 1500 ml, 750ml, and 2250 ml with 1000ml left over.
To find the total amount, we find the sum of all the milliliters:
1500 + 750 + 2250 + 1000 = 5500 ml
Again, we know that there are 1000 milliliters in 1 liter of liquid, so:
= 5.5 liters
The ratio of the number of Claire's stamps to the number of John's
stamps is 2:3. If John has 24 stamps, how many stamps does Claire have?
Answer:
Claire has 16 stamps
Step-by-step explanation:
Proportions
If two variables are proportional, their ratio is constant. For example, the distance traveled by car is proportional to the time it travels at a constant speed. We write it as d:t=constant.
It's known the number of Claire's stamps to the number of John's stamps is 2:3 and John has 24 stamps.
This means the following relation must stand:
[tex]\displaystyle \frac{C}{J}=\frac{2}{3}[/tex]
Where C is the number of stamps of Claire and J is the number of stamps of John. We know J=24, thus:
[tex]\displaystyle \frac{C}{24}=\frac{2}{3}[/tex]
Solving for C:
[tex]\displaystyle C=24\cdot\frac{2}{3}[/tex]
C = 16
Claire has 16 stamps
6. m A = 8x - 2, m B = 2x - 8, and m2 C = 94 - 4x. List the sides of A ABC in order from shortest to
longest.
AC: AB: BC
AC :BC: AB
AB: AC : BC
BC: AC : AB
Given:
In triangle ABC, m∠A=(8x-2)°, m∠B=(2x-8)° and m∠C=(94-4x)°.
To find:
The sides of the triangle ABC in order from shortest to longest.
Solution:
In triangle ABC,
[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex] (Angle sum property)
[tex](8x-2)^\circ+(2x-8)^\circ+(94-4x)^\circ=180^\circ[/tex]
[tex](6x+84)^\circ=180^\circ[/tex]
[tex]6x+84=180[/tex]
[tex]6x=180-84[/tex]
[tex]6x=96[/tex]
Divide both sides by 6.
[tex]x=\dfrac{96}{6}[/tex]
[tex]x=16[/tex]
Now,
[tex]m\angle A=(8(16)-2)^\circ[/tex]
[tex]m\angle A=(128-2)^\circ[/tex]
[tex]m\angle A=126^\circ[/tex]
Similarly,
[tex]m\angle B=(2(16)-8)^\circ[/tex]
[tex]m\angle B=(32-8)^\circ[/tex]
[tex]m\angle B=24^\circ[/tex]
And,
[tex]m\angle C=(94-4(16))^\circ[/tex]
[tex]m\angle C=(94-64)^\circ[/tex]
[tex]m\angle C=30^\circ[/tex]
In a triangle the smaller angle has shorter opposite side and larger angle has longer opposite side.
[tex]24^\circ<30^\circ<126^\circ[/tex]
[tex]m\angle B<m\angle C<m\angle A[/tex]
[tex]AC<AB<BC[/tex]
List the sides of triangle ABC in order from shortest to longest is AC:AB:BC.
Therefore, the correct option is A.
The sum of all the interior angles in a triangle is blank degrees. Please HELP
Answer:
180º
Step-by-step explanation:
All the interior angles add up to 180º degrees.
Answer:
180 degrees
Step-by-step explanation:
In a Euclidean space, the sum of angles of a triangle equals the straight angle
For the function
g(x) = 1/3x-2, find g(3a – 6)
Answer:
g(3a – 6) = a - 4
Step-by-step explanation:
g(x) = 1/3x - 2
g(3a – 6) = 1/3(3a – 6) - 2
= a - 2 - 2
= a - 4
Answer:
g(3a - 6) = a - 4
Step-by-step explanation:
If you start with g(x) = 1/3 x - 2
Then whatever x = on the left, must take on the value on the right.
g(3a - 6) = 1/3 (3a - 6) - 2 Notice the x is gone and 3a - 6 has taken it's place.
Now you must distribute the 1/3 for both 2a and 6
g(3a - 6) = 1/3 * 3a - 1/3 * 6 - 2
g(3a - 6) = a - 2 - 2
g(3a - 6) = a - 4
does anyone think they can explain how to do this?
A pair of shorts cost $32. If the shorts were on sale for 25% off, how much will they cost
Answer:
Step-by-step explanation:
$8.75
hope it helps
Answer:
24
Step-by-step explanation:
half 32 and half it again u get 8 then u do 32-8
I need help pls:(
Pls
Pls
Pls pls
Pls
The answer is b bbbbbbbbbbbbbbb
Answer:
The answer is B
Step-by-step explanation:
I hope this helps! :D
When Ms. Wilson calls to place her order, the store informs her that the delivery fee has increased by $4, but the price of the topsoil remains the same. Write an equation to represent the new situation. Explain.
Answer:
I need a picture or something else to give answer
Step-by-step explanation:
33 folders cost \$2.91$2.91dollar sign, 2, point, 91.
Which equation would help determine the cost of 222 folders?
Choose 1 answer:
Answer:
The answer is 646.02 tell me if you need an explaination
Tyler’s game piece landed on space 30 while playing a board game. On his next turn, he moved his piece 17 spaces backward. Which expression can be used to find which space Tyler’s piece was on after his turn?
Answer:
30+(−17) is the answer
Step-by-step explanation:
State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used. The triangles are not drawn to scale.
8
64
T
32
200
19
S
R
16
O ASRQ - AVTU: SAS.
O AQRS - AVTU; SAS.
O ARSQ - AVUT:ASA.
The triangles are not similar
Answer:
Step-by-step explanation:
ΔSRQ and ΔVTU are similar Triangle.
What is the congruent triangle?Triangles are said to be congruent if, under a correspondence, two of a triangle's sides and the angle that connects them are equal to two of another triangle's sides and the angle that connects them.
Given two triangles, ΔRQS and ΔVUT such that,
RS = 16, QR= 64 and VT = 8, UT = 32
If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.
From the above condition since,
∠R = ∠T
and
[tex]\frac{QR}{SR} = \frac{UT}{VT} = \frac{4}{1}[/tex]
Thus,
ΔSRQ and ΔVTU are similar from the congruency property of SAS.
Learn more about congruent triangles here:
https://brainly.com/question/22062407
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Emilio spent half of his savings to buy a video game. The video game cost $63.75. How much was Emilio’s savings? Define a variable and write an equation for this real-world problem. 6. In Austin, Texas, the State Capitol Building has a height of 308 feet. This is 274.4 feet higher than the Alamo located in San Antonio, Texas. What is the height of the Alamo? Define a variable and write an equation for this real-world problem.
Answer:
1) Emilio's total saving - $127.5
2) 33.6ft
Step-by-step explanation:
1) $63.75 x 2 = $127.5
2) 308ft - 274.4ft = 33.6ft
Please help me please! It would be amazing if you can!
Answer:
A- Brady multiplied the first equation by 5 and the second equation by 3.
B- He can use elimination for his next step. 15y and -15y will cancel each other out, 20x-18x is 2x...50-48 is 2 so 2x=2 divide and x is 1
C- x=1 y=2
Step-by-step explanation:
Arrange the following set of decimal numbers.
1.Least to Greatest-
6.134 , 8.015 , 3.98
2.Greatest to Least-
0.541 , 0.314 , 0521
3.Greatest to Least-
19.6 , 19.006 , 19.06
4.Least to Greatest-
714.4 , 0.7134 , 7.134
5.Greatest to Least-
509.107 , 590.817 , 5,190.18
Answer:
1. 3.98 , 6.134 , 8.0152. 0.541 , 0.521 , 0.3143. 19.006 , 19.06 , 19.64. 0.7134 , 7.134 , 714.45. 590.817 , 5,190.18 , 509.107Step-by-step explanation:
I HOPE IT HELPS :)
Need help with this khan academy question. Plus minus square root of negative nine equals plus or minus
Answer:
3i
Step-by-step explanation:
3i x 3i = -9
-3i x -3i = -9
Therefore the square root of -9 is 3i or -3i
The simplified radical expression ±√(-9) is ±3i
The expression ±√(-9) involves finding the square root of a negative number. In the real number system, this is not possible, as no real number multiplied by itself will result in a negative value. To overcome this limitation, mathematicians introduced the concept of imaginary numbers. The imaginary unit, denoted by 'i,' is defined as √(-1).
Now, let's simplify the expression ±√(-9) step by step:
Step 1: Begin by recognizing that √(-9) is the square root of -9.
Step 2: Since √(-1) is 'i,' we can rewrite √(-9) as √(9) * √(-1).
Step 3: The square root of 9 (√9) is 3.
Step 4: Replace √(-1) with 'i.'
Step 5: The final result is 3i.
Therefore, the simplified form of ±√(-9) is ±3i.
To know more about radical here
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Michael has7 dimes in his pocket how much money does Michael have ( make sure your answer has a unit)
Answer:
70 units
Step-by-step explanation:
Terry’s investment of
$2,200 in the stock market earned
$528 in two years. Find the simple
interest rate for this investment.
7. In a triple batch of a spice mix, there are 6 teaspoons of garlic powder and 15 teaspoons
of salt. Answer the following questions about the mix. If you get stuck, create a double
number line.
2 teaspa
a. How much garlic powder is used with 5 teaspoons of salt?
b. How much salt is used with 8 teaspoons of garlic powder?
u
c. If there are 14 teaspoons of spice mix, how much salt is in it?
d. How much more salt is there than garlic powder if 6 teaspoons of garlic powder are
used?
Answer:
I am not sure about this question but u guess its c