Answer: 2.75N = 80
Step-by-step explanation:
Let the the number of times that Ben can ride the train each month be represented by N.
Since Ben rides the train to work he spends $2.75 per ride and his monthly budget for riding the train is $80, this will be represented in an equation as:
2.75N = 80
N = 80/2.75
N = 29 times
A Cinema has 240 seats. 144 seats were sold for the current movie. What percent of seats are empty?
Avery has a points card for a movie theater. She receives 75 rewards points just for signing up. She earns 6.5 points for each visit to the movie theater. She needs 140 points for a free movie ticket. How many visits must Avery make to earn a free movie ticket?
Answer:
10 times
Step-by-step explanation:
After signing up she received 75 points, so the number of points he needs to get a free ticket : 140 - 75 = 65
If she earns 6.5 points or each visit, she would have to visit 65/6.5 times to get a free ticket
65/6.5 = 10
Answer:
10 times bud.
Step-by-step explanation:
Hope this helps!
2
Expand and simplify
6(a+3) - 4(1 – 3a)
Answer:
(6a + 18)+(-4 +12a)
6a +12a + 18 -4 = 18a + 14
18a +14 = 0
18a = -14
a = -0/7 ~ -0/8
Please help me lol!!!!!!
Answer:
A
Step-by-step explanation:
when 2(3/5 x + 2/3 y - 1/4 x -1 1/2 y + 3 )is simplified, what is the resulting expression?
Answer:
Simplifying the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex] we get [tex]\mathbf{42x-100y-360}[/tex]
Step-by-step explanation:
We need to simplify the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex]
First we will solve terms inside the bracket
[tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex]
Converting mixed fraction [tex]1\frac{1}{2} y[/tex] into improper fraction, we get: [tex]\frac{3}{2}y[/tex]
Replacing the term:
[tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-\frac{3}{2}y +3)[/tex]
Now, taking LCM of: 5,3,4,2 we get 60
Now multiply 60 with each term inside the bracket
[tex]2(\frac{3}{5}x\times60+\frac{2}{3}y\times60-\frac{1}{4}x\times60-\frac{3}{2}y\times60 +3\times60)\\2(3x\times12+2y\times20-1x\times15-3x\times30-3\times60)\\2(36x+40y-15x-90y-180)[/tex]
Now, combine like terms
[tex]2(36x-15x-90y+40y-180)\\2(21x-50y-180)[/tex]
Now, multiply all terms with 2
[tex]42x-100y-360[/tex]
So, Simplifying the expression: [tex]2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)[/tex] we get [tex]\mathbf{42x-100y-360}[/tex]
help me plez There are 100 bolts in 5 bookcases.
What is the unit rate in bolts per bookcase?
2 bolts per bookcase
20 bolts per bookcase
50 bolts per bookcase
200 bolts per bookcase
Answer:
20 bolts per bookcase
Step-by-step explanation:
PLEASE HELLPPP MEEEEE
Answer:
2x - 3y = 24
Step-by-step explanation:
You use the formula Ax ± By = C.
This is the standard linear equation form.
In Mr. Layden's class, three students
brought in their baseball card
collections. For their three
collections, the mode was 126 and
the range was 26. What are two
possibilities for the number of cards
in each student's collection?
Answer: 126, 126, 152
or
100, 126, 126
Step-by-step explanation:
PLEASE HELP! WILL MARK BRAINLIEST
what is x ? pleasee help !!!
Answer:
It is an unknown number but add 16 + 32 degrees and you get 48x degrees then multiply 48 X 72 degrees and you get 336 degrees.
Step-by-step explanation:
13q-30q =
Please show work
Identify the perimeter and area of a square with diagonal length 24in. Give your answer in simplest radical form!!!
242‾√ in; 288 in2
482‾√ in; 288 in2
242‾√ in; 144 in2
482‾√ in; 144 in2
Answer:
Perimeter: [tex]48\sqrt{2} \: \mathrm{inches}[/tex]
Area: [tex]288\mathrm \: \mathrm{square \: inches}[/tex]
Step-by-step explanation:
If the diagonal of the square is 24 inches, the side length of the square is [tex]12\sqrt{2}[/tex] inches ([tex]2x^2=24^2[/tex]). The perimeter of this square is then [tex]4 \cdot 12\sqrt{2}=\fbox{$48\sqrt{2}\: \mathrm{in}$}[/tex] and the area [tex](12\sqrt{2})^2=\fbox{$288\: \mathrm{in^2}$}[/tex].
The area of the square is 288 in.² and the perimeter is 48√2 in.
Given to us,
Diagonal of the square = 24 in.
We know that for a square,
[tex]\bold{(Diagonal)^2 = 2\times (side)^2}[/tex]
substituting the values,
[tex]{(Diagonal)^2 = 2\times (side)^2}\\24^2 = 2\times (side)^2}\\side = 12\sqrt {2}[/tex]
Also, the area of a square is given by (side)², and, perimeter by (4 x side).
[tex]\bold{Area = (12\sqrt2)^2 = 288 in.^2}[/tex]
[tex]\bold{Perimeter= (4\times 12\sqrt2) = 48\sqrt 2 in.}[/tex]
Hence, the area of the square is 288 in.² and the perimeter is 48√2 in.
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Jenn wants to measure the height of a tree. She walks exactly 125 feet from the base of the
tree and looks up. The angle of elevation from the ground to the top of the tree is 33º. How
tall is the tree? Which equation would be used to solve this problem?
Answer:
[tex]81.2\:\mathrm{ft}[/tex]
Step-by-step explanation:
We can form a right triangle and use basic trig for a right triangle to solve this problem:
[tex]\tan33^{\circ}=\frac{h}{125}[/tex], where [tex]h[/tex] is the height of the tree.
Solving, we get:
[tex]h=125\cdot \tan 33^{\circ},\\h\approx \fbox{$81.2\:\mathrm{ft}$}[/tex].
help please it’s for a project and please show work if you helping me out i appreciate anywho who takes the time out and actually helps me
Answer:
B ($905)
Step-by-step explanation:
Plug in $17 for the h value in the equation, and you get this:
c = 50 (17) + 55
c = 850 + 55
c = 905
So the answer is $905 for 17 hours of work (plus the service fee)
Solve for x !!!!!!!!
robert gets a loan from his bank.
he agrees to borrow £6000 at a fixed annual simple interest rate of 7%.
he also agrees to pay the loan back over a 10 year period.
how much money in total will he have paid back at the end of 10 years?
Answer:
the total amount that should be paid back at the end of 10 years is £10,200
Step-by-step explanation:
The total amount that should be paid back at the end of 10 years is shown below:
= Borrowed amount + simple interest
= £6000 + (£6000 × 0.07 × 10)
= £6000 + £4,200
= £10,200
Hence, the total amount that should be paid back at the end of 10 years is £10,200
2 equivalent rations for 6/5 ? please help !!!
The sum of 5 times one number, x, and 4 times a second number, y, is 87. If the sum of the two numbers is 20, find the two numbers. Pls hurry need it before schools is over
(hint will mark brainiest)
Step-by-step explanation:
We have 5x + 4y = 87 and x + y = 20.
=> 5x + 4y = 87 and 4x + 4y = 80.
5x + 4y = 87
- (4x + 4y = 80)
=> x = 7
Therefore (7) + y = 20, y = 13.
The answers are x = 7 and y = 13.
What is the equation of the line that has a slope of 1/3 and goes through the point (6,−2)?
A. y = 1/3x − 4
B. y = 1/3x + 4
C. y = 1/3x − 8
D. y = 1/3x
Answer: A) y = 1/3x − 4
Step-by-step explanation:
Find the Equation Using Point-Slope Formula
slope: 1/3
point: (6, −2)
Use the slope 1 and a given point (6, −2) to substitute for [tex]x_1[/tex] and [tex]y_1[/tex] in the point-slope form
y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex]), which is derived from the slope equation m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
y − (−2) = 1/3 ⋅ (x − (6))
Simplify the equation and keep it in point-slope form.
y + 2 = 1/3 ⋅ (x − 6)
Solve for y.
1/3 ⋅ (x − 6).
Apply the distributive property.
y + 2 = 1 /3 x + 1 /3 ⋅ − 6
Combine 1/3 and x.
y + 2 = x/3 +1/3 ⋅ −6
Cancel the common factor of 3.
y + 2 = x /3 − 2
Move all terms not containing y to the right side of the equation.
Subtract 2 from both sides of the equation.
y = x/3 − 2 − 2
Subtract 2 from −2. x
y = x/3 − 4
Reorder terms.
y = 1/3x − 4
List the equation in different forms.
Slope-intercept form:
y = 1/3x − 4
Point-slope form:
y + 2 = 1/3 ⋅ (x − 6)
A scuba diver descends 80 feet, rises 25 feet, descends 12 feet, and then
rises 52 feet where he will do a safety stop for five minutes before surfac-
ing. At what depth did he do his safety stop?
Answer: That would be 15ft
A bear cub walks
5/6 miles in 5/12
age
hours. What is its
speed in terms of miles per hour?
Answer:use math(way
Step-by-step explanation
It help
Answer: 2 miles per hour
Step-by-step explanation: Reduce the common factor which would be 5 and then you divide and you get 2
Paul volunteered at the senior center for 3 9/10 hours on Saturday and 5 1/6 hours on Sunday. How many hours did Paul volunteer at the senior center on both days?
Answer:
Saturday 3 9/10 hours = 60/10 = 6, 6 X 9 =54
3 hours 54 mins
Sunday 5 1/6 hours = 60/6 = 10, 10 X 1 = 10
5 hours 10 mins
3 hrs 54 mins + 5 hrs 10mins = 9 hrs 4 mins
Answer:9 4/10
Step-by-step explanation:
omg someone do these for me and ill give brainliest please im rushing
1. 74 tens
2. 3, 7, 11
3. 4 2 5
4. 23
5. 560
6.440
7. Sum
8. 1 dollar and 40 cents
9. 84 cents
Hope this helps plz mark brainly :)
Answer:
1. 74
2. 3, 7, and 11
3. 4, 2, and 5
4. 20.2307692308
5. 560
6. 440
7. sum
8. Chloe
9. 84 cents
does this graph represent a function? if yes why?
Dakota received a mark of 68% on his math test.
The test had 25 questions.
How many questions did Dakota answer correctly?
Answer:
17 right
Step-by-step explanation:
68 percent of 25 is 17
PLEASE MARK ME AS BRAINLIEST!!!!!<3
What is the surface area of a right cylinder which has a base with radius 9 units and has a height of 12 units
оооо
508.7 units squared
678.2 units squared
1,186.9 units squared
1,256.0 units squared
Which property best describes the congruence statement below?
ДАВС = ДАВС
A. Symmetric property
OB. Reflexive property
OC. Commutative property
O O O
D. Transitive property
Answer:
I think B.Reflexive property
The property best describes the congruence statement is
Symmetric property.
What is Congruence?Congruent means same shape and same size. So congruent has to do with comparing two figures, and equivalent means two expressions are equal. So to say two line segments are congruent relates to the measures of the two lines are equal.
We know,
The Symmetric Property states that for all real numbers
if x = y then y=x
and, Transitive Property
The Transitive Property states that for all real numbers
if x = y and y = z then z=x.
and, Reflexive Property
for any x, x = x.
Here, the property used is Symmetric.
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Jim invested $4,000 in a bond at a yearly rate of 4.5%. He earned $540 in interest.How long was the money invested?
Answer:
3 years
Step-by-step explanation:
540 = 4000 x 0.045x
540 = 180x
x = 3
Can some one help (8 grade math)
Answer:
A
Step-by-step explanation:
V = pie x r*2 x h
ben jogged 4 1/2 miles in 1 1/4 hours at a constant rate. how far did ben jog in one hour
(the answer on top)
Answer:
b is the answer
Step-by-step explanation:
4 1/2 divided by 1 1/4 = 3 3/5
The distance Ben jogged in one hour is 3 3/5 miles. The correct option is B. 3 3/5 miles
Distance, Rate, and TimeFrom the question, we are to determine how far Ben jogged in one hour. That is, how far he jogged per hour.
This means we should determine the rate
Using the formula,
Rate = Distance / Time
From the given information,
Distance = 4 1/2 miles
Time = 1 1/4 hours
∴ Rate = 4 1/2 ÷ 1 1/4
Rate = 3 3/5 miles/hour
Hence, the distance Ben jogged in one hour is 3 3/5 miles. The correct option is B. 3 3/5 miles
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