Answer:
Let x = the number of adult tickets sold
Let x + 61 = the number of student tickets sold
x + x + 61 = 761
2x = 700
x = 350
x + 61 = 411
Answer:
i could meane that only the adults bought 768 totel
Step-by-step explanation:
Write the mixed number as an improper fraction.
3 3/5
Answer:
3 3/5 as an improper fraction = 18/5
Answer:
18/5
Step-by-step explanation:
To find the improper fraction change the whole number into a fraction:
3 *5/5 = 15/5 which is the same as 3
then add the remaining 3/5 to the fraction
15/5 + 3/5
= 18/5
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
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
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:
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
https://brainly.com/question/31941585
#SPJ2
Can someone Help pls!!!
Answer:
{0, infinity)
Step-by-step explanation:
range is always the y coords
Write the equation of the line that passes through the point (7,-1) that has a slope of 0.
Answer:
y=0x-1
Step-by-step explanation:
y=0(x)+c
-1=0(7)+c
-1=0+c
C=-1
Is 70.24 greater or less then 70.240
Answer:
They're both the same
Answer:
70.24 is less then 70.240
Step-by-step explanation:
please follow me
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:
Terry’s investment of
$2,200 in the stock market earned
$528 in two years. Find the simple
interest rate for this investment.
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
The expression 5(2x - 1) - 3x(2x - 1) when factorized fully is equal to
my name is jeff Step-by-step explanation:
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
onyango wishes to fence a rectangular research plot using 100 m of wire .one end of the plot has a wall already erected .calculate the maximum area that he can fence
Answer:
1250 m²
Step-by-step explanation:
Let x and y denote the sides of the rectangular research plot.
Thus, area is;
A = xy
Now, we are told that end of the plot already has an erected wall. This means we are left with 3 sides to work with.
Thus, if y is the erected wall, and we are using 100m wire for the remaining sides, it means;
2x + y = 100
Thus, y = 100 - 2x
Since A = xy
We have; A = x(100 - 2x)
A = 100x - 2x²
At maximum area, dA/dx = 0.thus;
dA/dx = 100 - 4x
-4x + 100 = 0
4x = 100
x = 100/4
x = 25
Let's confirm if it is maximum from d²A/dx²
d²A/dx² = -4. This is less than 0 and thus it's maximum.
Let's plug in 25 for x in the area equation;
A_max = 25(100 - 2(25))
A_max = 1250 m²
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
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:
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.
does anyone think they can explain how to do this?
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
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
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
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 :)
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
Which diagram best shows that 14x2 + 21x in factored form is 7x(2x + 3)?
Answer: B
Step-by-step explanation:
Fourth diagram represent the 14x²+21x in factored form is 7x(2x + 3)
What is Number system?A number system is defined as a system of writing to express numbers.
The given expression is 14x²+21x
Fourteen x square plus twenty one times of x.
x is the variable and plus is the operator.
14x²+21x
We need to take 7x as common from two terms.
When the quadratic expression is a product of two factors where each one is a linear expression, this is called the factored form.
Seven x is product of two times of x plus three.
7x(2x+3)
The fourth diagram represent the 14x²+21x in factored form is 7x(2x + 3)
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ2
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
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
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 !
