Answer:
$8.75
Step-by-step explanation:
Divide $43.75 by 5 to get the cost of ONE movie ticket like so:
$43.75 / 5 movie tickets = $8.75 per ticket.
Therefore, ONE ticket costs $8.75.
Given the perimeter of a rectangle and either the length or width, find the unknown measurement using the appropriate formula.
The perimeter is 70ft . and the width is 16ft .
Answer:
Step-by-step explanation:
Givens
P = 2*L + 2*W
P = 70
w = 16
Solution
70 = 2L + 2*16
70 = 2L + 32
70-32 = 2L
38 = 2L
38/2 = 2L/2
L = 19
The ratio of students who made
the honor roll to the total number
of students is 1:50. If there are
500 students in total, how many
made the honor roll?
Answer:
10 is the answer. 1:50 is 10:500 simplified
Step-by-step explanation:
500÷50=10.
Five times the sum of a number n and seven
Hint- you need parenthesis
The equation of the problem is [tex]5(n+7)[/tex]
The sentence is asking 5 times the sum of n+7, so you are multiplying (n+7) by 5.
Six students are working to simplify the expression shown 4y+13x-5+6y-x
Answer:12x+10y-5
Step-by-step explanation:
Answer:
Step-by-step explanation:
Sarah arrives at the bus station at 8:25 and can catch either bus A or B. How long does she wait for the next bus?
Bus A runs every 6 mins
Bus B runs every 8 mins
What bus can she catch and what time?
Answer:
every 8 mins
Step-by-step explanation:
bus b
At the ski shack, customers can rent,skis, snowboards, boots, and poles by the day Mrs.Alvarez is renting skis and poles she has a 18$ coupon off
which expression represents the total cost for Mrs.Alvarez to rent skis for s days and poles for p days
Answer:
48s plus 12p - 18
Step-by-step explanation:
Answer:
Add 48 + 12 and Subtract the sum from 18 (14+12-18)
Step-by-step explanation:
Sorry if I'm confusing you ;(
HELP ASAP DUE TOMORROW!!!
On a family outing, Tyler bought 5 cups of hot cocoa (x)
and 4 pretzels (y) for $18.40. Some of his family members
would like a second serving, so he went back to the same
food stand and bought another 2 cups of hot cocoa (x) and
4 pretzels (y) for $11.20.
Answers:
x = 2.40
y = 1.60
This means 1 hot cocoa costs $2.40 and 1 pretzel costs $1.60
=======================================
Work Shown:
x = cost of 1 cup of hot cocoa
y = cost of 1 pretzel
5x = cost of 5 cocoas
4y = cost of 4 pretzels
5x+4y = cost of 5 cocoas+4 pretzels
5x+4y = 18.40
----------------
2x = cost of 2 cocoas
4y = cost of 4 pretzels
2x+4y = cost of 2 cocoas+4 pretzels
2x+4y = 11.20
----------------
The system of equations we have is
[tex]\begin{cases}5x+4y = 18.40\\2x+4y = 11.20\end{cases}[/tex]
Note how 4y shows up twice. This is handy to be able to get rid of the y terms completely.
How? By subtracting the equations straight down
The x terms subtract to 5x-2x = 3x
The y terms subtract to 4y-4y = 0y = 0 and they go away
The right hand sides subtract to 18.40 - 11.20 = 7.20
After those three separate subtractions, we have this new equation:
3x = 7.20
Divide both sides by 3 to isolate x
3x/3 = 7.20/3
x = 2.40
Each hot cocoa costs $2.40
Now use this x value to find y. You can pick any equation you want as long as it has x,y in it. I'll pick the first equation
5x+4y = 18.40
5(2.40)+4y = 18.40
12+4y = 18.40
4y = 18.40-12
4y = 6.40
y = 6.40/4
y = 1.60
Each pretzel costs $1.60
If we picked on the second equation, we should get the same y value
Let's find out
2x+4y = 11.20
2(2.40)+4y = 11.20
4.80+4y = 11.20
4y = 11.20-4.80
4y = 6.40
y = 6.40/4
y = 1.60
We get the same result as before.
To check the answers, you need to plug those values back into the two original equations and simplify. You should get the same thing on both sides.
Can someone please
Help w this?
a mercury thermometer records a temperature of 8 degrees fahrenheit at 10 a.m. if the temperature drops by 3 degrees fahrenheit every hour what will be the temperature by 2 p.m. of the same day
Answer:
-4 Degrees Fahrenheit
Step-by-step explanation:
Given
[tex]Initial\ Temperature = 8[/tex] ---- at 10am
[tex]Difference = -3[/tex]
Required
Determine the final temperature at 2pm
First, we need to determine the hour from 10am to 2pm (Both inclusive)
[tex]Interval = 2pm - 10am + 1hr[/tex]
[tex]Interval = 4hr + 1hr[/tex]
[tex]Interval = 5hr[/tex]
To solve further, we make use of the following Arithmetic Progression formula:
[tex]T_n = a + (n - 1)d[/tex]
Where
[tex]a = 8[/tex] --- Initial
[tex]d = -3[/tex] --- difference
[tex]n = 5[/tex] -- 5th term
[tex]T_n[/tex] --- Final temperature at 2pm
So: we have:
[tex]T_n = 8 + (5 - 1) * -3[/tex]
[tex]T_n = 8 + (4) * -3[/tex]
[tex]T_n = 8 + 4 * -3[/tex]
[tex]T_n = 8 -12[/tex]
[tex]T_n = -4[/tex]
Hence:
The temperature is -4 Degrees Fahrenheit
What is 7/8 x 4/5 divided by 7/20
Answer: 2
Step-by-step explanation: First, multiply 7/8 by 4/5 which equals to 7/10. Then, divide 7/10 by 7/20. Finally, you should end up with a result of 2.
The product of a number and is 3 Find the number.
Your answer
what are the other ways two straight lines could intersect in the coordinate plane? How many solutions would each of these options have?
Answer:
what are the other ways two straight lines could intersect in the coordinate plane How many solutions would each of these options haver
Answer:
Step-by-step explanation:
On the 2nd equation, turn the slope the -3x. This creates two parralel lines.
Two linear equations will always be parallel and never intersect if their y-intersect is different and their slope is the same.
What is the QUOTIENT of 16.8 and 4.4 ?
Answer:
3.81
Step-by-step explanation:
Chloe was given a box of assorted chocolates for her birthday. Each night, Chloe treated herself to some chocolates. There were originally 30 chocolates in the box and after 2 nights, there were 24 chocolates remaining in the box. Write an equation for C, in terms of t, representing the number of chocolates remaining in the box t days after Chloe's birthday.
Answer:
C=-3t+30
Step-by-step explanation:
URGENT! 10 points
Solve for x then find DE
Answer:
14
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
x+7+7=4x+2 simplify
What equation is graphed in this figure?
y-4= = -⅓(x+2)
y-3= ⅓(x + 1)
y+ 2 = -3(x - 1)
y - 5 = 3 (x - 1)
Answer:
y - 5 = 3(x - 1)
Step-by-step explanation:
Let the equation of the line passing through a point (x', y') and slope 'm' is,
y - y' = m(x - x')
Since slope of a line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is represented by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through (0, 2) and (1, 5) is,
m = [tex]\frac{5-2}{1-0}[/tex] = 3
Now equation of the line passing through a point (1, 5) and slope = 3 will be,
y - 5 = 3(x - 1)
Option (4) is the answer.
Answer:
y−5=3(x−1)
Step-by-step explanation:
-2/5x=-5 What is this?
Answer:
25/2 or 12 1/2 or 12.5
Step-by-step explanation:
What is an equation for the line that passes through (6,-5) and (-8,16)
Answer:
y=mx
Step-by-step explanation:
i think thats the equation am pretty sure tho
The right triangle ABC, shown below is reflected over the line y = -x. Where will the point C' be located?
Answer:
(4, -3)
Step-by-step explanation:
It says my answers need to be at least 20 characters long so I had to write this.
Use the distance formula to find the distance, to the nearest tenth, from S(5, −4) to W(−3, 7).
Answer:
185
Step-by-step explanation:
distance formula is d=√((x_2-x_1)²+(y_2-y_1)²
so it would be d=[tex]\sqrt{(-3-5)^{2} + (7-(-4))^{2} }[/tex]
where we see [tex](7-(-4))^{2}[/tex] will turn into [tex](7+4)^{2}[/tex]
[tex](-3-5)^{2} =64[/tex]
[tex](7+4)^{2} =121[/tex]
64+121= 185
Hope this helps...sorry if i'm wrong.
ASAP ,HELP ME PLS
Find the slope given these points:
(2,-4) & (3,1)
A. 5
B. -3
C. 3
D. -5
Answer:
A.
Step-by-step explanation:
*
ate: Find 8% of 40.
nt)
Carlos buys a box of frozen flavored ice sticks. 2/5 of the ice sticks are blue raspberry. Of the remaining ice sticks, 1/3 are grape, and the rest are cherry. If there are 48 blue raspberry and cherry flavored ice sticks altogether, how many ice sticks total are in the box?
Given:
[tex]\dfrac{2}{5}[/tex] of the ice sticks are blue raspberry.
Of the remaining ice sticks, [tex]\dfrac{1}{3}[/tex] are grape, and the rest are cherry.
There are 48 blue raspberry and cherry flavored ice sticks altogether.
To find:
The total number of ice sticks.
Solution:
Let x be the total number of ice sticks.
[tex]\dfrac{2}{5}[/tex] of the ice sticks are blue raspberry.
Blue raspberry [tex]=\dfrac{2}{5}x[/tex]
Remaining raspberry [tex]=x-\dfrac{2}{5}x[/tex]
[tex]=\dfrac{3}{5}x[/tex]
Of the remaining ice sticks, [tex]\dfrac{1}{3}[/tex] are grape, and the rest are cherry.
Grape [tex]=\dfrac{1}{3}\times \dfrac{3}{5}x[/tex]
[tex]=\dfrac{1}{5}x[/tex]
Cherry [tex]=\dfrac{3}{5}x-\dfrac{1}{5}x[/tex]
[tex]=\dfrac{2}{5}x[/tex]
There are 48 blue raspberry and cherry flavored ice sticks altogether.
[tex]\dfrac{2}{5}x+\dfrac{2}{5}x=48[/tex]
[tex]\dfrac{4}{5}x=48[/tex]
[tex]x=48\times \dfrac{5}{4}[/tex]
[tex]x=60[/tex]
Therefore, the total number of ice sticks is 60.
sum n=3 ^ infty (2n+5)
find the series shown
=====================================================
Explanation:
We're adding terms in the form (2n+5)
The first term is when n = 3, so
2n+5 = 2*3+5 = 6+5 = 11
The next term is when n = 4, so
2n+5 = 2*4+5 = 8+5 = 13
The next term is when n = 5, so
2n+5 = 2*5+5 = 10+5 = 15
And so on
This means,
[tex]\displaystyle \sum_{n=3}^{\infty} (2n+5) = 11+13+15+17+\ldots[/tex]
which matches with choice C. The three dots indicates the pattern goes on forever.
-------------------
Choice B does not have these dots, so that's why choice B is not the answer. If we replaced the infinity symbol with 7, then choice B would be the answer.
I.e,
[tex]\displaystyle \sum_{n=3}^{7} (2n+5) = 11+13+15+17+19[/tex]
An animal reserve has 24,000 elks. The population increases by 12% a year. How long until the population is equal to 96,000,000
Answer:33,325,000
Step-by-step explanation:95,976,000÷2.88=33,325,000
The product of a number x minus 5 and three less than twice x
Answer:
(x-5)(2x-3)
Step-by-step explanation:
key words:
product = multiplication
minus - subraction
x-5
and = first phrase times next phrase
less than = a number minus the number before the 'less than'
twice = 2 times a number
if we put it together we get x-5 times 2x-3. we put parenthesis because we dont want to multiply only 5 and 2x so our answer is (x-5)(2x-3).
i hope this helped :))
How much time will Alex need to walk to his school, which is 2 1/ 4 miles away from his house, if he would walk with the speed of …
3 mph
Please help!!!!
Answer:
Alex needs to walk for 45 minutes.
Step-by-step explanation:
2.25 / 3 = 0.75 hours
0.75 hours = 45 minutes
Please help!!!!!!!!!!!
Find the measure of the exterior angle
Answer:
Im not sure but go with 24
exterior angle = sum of its opposite interior angles
Which means :-
[tex]x + 21 + 63 = 3x[/tex]
[tex]21 + 63 = 3x - x[/tex]
[tex]21 + 63 = 2x[/tex]
[tex]84 = 2x[/tex]
[tex]2x = 84[/tex]
[tex]x = 84 \div 2[/tex]
[tex]x = 42°[/tex]
Therefore , the correct option is :-
c) 42°Which point is an example of a y intercept?
A. (-2, 8) B. (3, 4)
C. (0, -4)
D. (5,0)
Use the distributive property
to expand -4(-2/5+3x)
Which is an equivalent expression?
Answer:
8/5-12x
Step-by-step explanation:
-4(-2/5+3x)
Multiply each term inside the parentheses by -4
-4 * -2/5 + -4 * 3x
8/5-12x
Answer:
-1.6+12x
Step-by-step explanation:
First you do -4*2/5 + -4*3x. Which will give you -1.6+ 12x