Answer slope
Step-by-step explanation:
A coffee shop sells a coffee refill mug for $6.75. Each refill costs $1.25. Last month Kim spent $31.75 on a mug and refills. Write an equation you can use to find the number of refills Kim bought. How many refills did Kim buy?
Answer:
equation: x(1.25) + 6.75 = 31.75 refills: 20
Step-by-step explanation:
The mug costs $6.75, and you aren't buying multiple cups, so that number stays the same. The number of refills is "x" since we do not know the amount. Next to "x" we multiply 1.25 for the cost of each refill. So now we have "x(1.25)" then we add $6.75 to the equation, for the mug price. Along with the total at the end. To which we now have "x(1.25) + 6.75 = 31.75"
Now we solve the equation. First, subtract 6.75 from each side
x(1.25) + 6.25 = 31.75
-6.25 -6.25
Now we have "x(1.25) = 25" So we have to divide each side by 1.25
x(1.25/1.25) = 25/1.25
x = 20
Therefore, Kim bought 20 refills. To check our work we can replace x with 20 in the original equation.
20(1.25) + 6.75 = 31.75
25 + 6.75 = 31.75
31.75 = 31.75
I'm not the best at explanations, but I hope this helped! :)
-6(-2x -y + 4)
It also says to use the distributive property
Answer:
The answer is 12x+6y-24
Step-by-step explanation:
Answer:
12x + 6y -24
Step-by-step explanation:
how many times larger is 4.5 times 10^6 than 4.5 times 10^4
Answer:
100 Times larger.
Step-by-step explanation:
4500000/45000=100
A road is inclined at an angle of 6°. After driving 5,440 feet
along this road, find the driver's increase in altitude. Round to
the nearest foot.
The driver's increase in
altitude is ____ ft.
A. 5,410
B. 569
C. 52,043
D. 572
========================================================
Work Shown:
sin(angle) = opposite/hypotenuse
sin(6) = a/5440
5440*sin(6) = a
a = 5440*sin(6)
a = 568.634840176034
a = 569 feet, which shows why choice B is the answer.
This value is approximate. Make sure your calculator is in degree mode. One way to check is to compute sin(30) and you should get 0.5
side note: 569 feet is roughly equal to 0.1078 miles.
The driver's increase in altitude is 569 feet.
Given that,
A road is inclined at an angle of 6°.
After driving 5,440 feet along this road,
We have to determine,
The driver's increase in altitude?
According to the question,
A road is inclined at an angle of 6°.
After driving 5,440 feet along this road,
The inclination is determined by using the sin angle.
Therefore,
The driver's increase in altitude is,
[tex]\rm Sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\\[/tex]
Where Perpendicular = a, angle = 6 degree and hypotenuse = 5,440ft.
Substitute all the values in the formula,
[tex]\rm Sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\\\rm Sin6 = \dfrac{a}{5440}\\\\\rm 0.104= \dfrac{Perpendicular}{5440}\\\\Perpendicular = 5440 \times 0.104\\\\Perpendicular = 569 \ feet[/tex]
Hence, The driver's increase in altitude is 569 feet.
For more details refer to the link given below.
https://brainly.com/question/11280532
What is 4 divided by 888
Answer:
0.0045045045
Step-by-step explanation:
Have a good day I hope this helps! :)
I need Help!!!! Fast!!
Answer:
second one just se that cuse I think it is it a fuse fore me
What radius help me ! Help !
In a lab experiment, 830 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 28 hours. How many bacteria would there be after 13 years, to the nearest whole number?
Answer:
1145
Step-by-step explanation:
830(2) 28/13
^ do that ok??????? plug it in!!!!!!!!
then do u know what u will get? u will get this !!!!!! y = 1145.09631989
round 2 da whole numba and den boom shakalaka B ) i got my question wrong so that i could put the right answer here. bye yall
The number of bacteria doubling every 28 hours will be 1145 after 13 hours.
What is the formula for exponential growth and exponential decaying function?The formula for exponential growth is y = y₀.e^(kt).
The formula for exponential decay is y = y₀.e^(-kt).
In the case of doubling the growth of bacteria, we can use the formula,
[tex]y_f = y_0\times2^{\frac{t_r}{t}[/tex], where [tex]y_f[/tex] represents the final population, [tex]y_0[/tex] is the initial population, [tex]t_r[/tex] is the time we are required to determine, and [tex]t[/tex] represents the time rate growth.
Therefore from the given information, the number of bacteria after 13 hours will be,
[tex]y_f = 830\times2^{\frac{13}{28}[/tex].
[tex]y_f = 830\times1.38[/tex].
[tex]y_f = 1144.86[/tex] or 1145 bacterias.
Q. In a lab experiment, 830 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 28 hours. How many bacteria would there be after 13 hours, to the nearest whole number?
learn more about bacteria growth problems here :
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The length of the 135˚ arc below is 15/4 π. Find the radius of the circle. Please explain the answer.
Answer:
The radius of the arc is 5
Step-by-step explanation:
An arc is a part of the circumference of a circle that has been cut out. It can be best understood as an incomplete circle. The length of the arc is how long the arc is.
The formula relating how long the arc is with its radius is
length of arc = [tex]\frac{\theta}{360} \times 2 \pi R[/tex]
where R is the radius we are looking for.
Θ = 135 which can be seen as the arc angle
[tex]R =\frac{l \times 360}{\theta \times 2 \pi} =\frac{(15 \pi /4) \times 360 }{135 \times 2 \pi}=5[/tex]
The radius of the arc = 5
A remote control airplane with an original price of $85 is on sale for $76.50. What is the percent of the discount?
Answer:
10% dicount
Step-by-step explanation:
76.50 / 85.00 = .9
The airplane cost 90% of its original value, meaning you have a 10% discount
10% of 85 = .1 x 85 = 8.50
85.00 - 8.50 = 76.50
Miranda owes max $120.00. She pays back 30% of what she owes. How much does she have left to pay back?
Answer:
I’m pretty sure the answer is $84
Step-by-step explanation:
An 18-feet ladder is leaning against the side of a building. The angle between the ladder and the ground is 30°.
How high up on the building, from the ground, is the top of the ladder?
9514 1404 393
Answer:
9 feet
Step-by-step explanation:
The sine relation applies.
Sin = Opposite/Hypotenuse
sin(30°) = height/(18 ft)
height = (18 ft)sin(30°) = (18 ft)(1/2)
height = 9 ft
The ladder extends 9 feet up the side of the building.
Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. For what number of shirts would the cost be the same?
What are the variables, equations, and how do you solve?
i don't know what ur say can u be more specif sorry
F is directly proportional to a.
If F = 28 when a = 7 find,
F when a = 10
Answer:
Step-by-step explanation:
a=10
Step-by-step explanation:
The question can be interpreted as
F∝a
If we introduce proportionality constant k, we have
F= k.a
28= k. 7
k= 28/7
k= 4
Then the equation can be written as
F= 4.a
To find, a when F = 40?
F= 4.a
40=4 × a
a= 40/4
a= 10
Answer:
F = 40
Step-by-step explanation:
Given F is directly proportional to a then the equation relating them is
F = ka ← k is the constant of proportion
To find k use the condition F = 28 when a = 7 , then
28 = 7k ( divide both sides by 7 )
4 = k
F = 4a ← equation of proportion
When a = 10, then
F = 4 × 10 = 40
Can you add 4√10 and 4√6 together? If so, what is the answer?
Answer:
No, because the radicands are not the same
Step-by-step explanation:
I NEED THE ANSWERS ASAP PLEASE HELP!!!!!
Answer:
x = 10
y = [tex]10\sqrt{2}[/tex]
Step-by-step explanation:
Let me know if you want an explanation.
What is an anticodon?
x/12=-2 solve for x please
Answer:
-24
Step-by-step explanation:
Answer:
−24
Step-by-step explanation:
the graph shows how much you and your friend each earn while mowing lawns
Answer:
what graph ? i do not see one
Step-by-step explanation:
due tomorrow i need help
Write the slope-intercept form of an equation of the line that passes through the given
point and is parallel to the graph of each equation.
(3, 2), y = x + 5
Answer:
The slope will be y=x-1 because it parallels to y=x+5 and hits point (3,2)
Step-by-step explanation:
Hope This Helped
If you subtract 27 from the product of a number and 8, you get 1789.
Translate the statement to equation
Answer:
8 x X - 27 = 1789
Step-by-step explanation:
Is your expression.
Answer:
8x-27=1789
Step-by-step explanation:
HELP PLS Last year 15 students earned an A in math class. If I had 128 students, what percent of students did NOT earn an A?
Answer:
88%
Step-by-step explanation:
128-15=113
113/128=.882
88%
HELP DUE IN 15 MINS!
Reason 2:
-Division Property of Equality
-SAS Postulate
-AA Postulate
-Reflexive property of Congruence
-Given
-Vertical Angle Theorem
-SSS Postulate
-Prove
Answer:
Missing reasons:
1. Given (the ratios of corresponding sides)
2. Reflexive property of Congruence (same angle K)
3. SAS Postulate (two sides are similar and the included angle congruent)
A person standing on level ground is 3020 feet away from the foot of a building. If the height of the building is 2534 feet, find the angle of elevation formed at the point where the person is standing to the nearest degree
Answer:
40°
Step-by-step explanation:
Base length, b = adjacent = 3020 feets
Height of building, h = opposite = 2534 feets
The angle of elevation formed :
Using the trigonometry relation:
Tan θ = opposite / Adjacent
Tan θ = 2534 / 3020
Tan θ = 0.8390728
θ = tan^-1(0.8390728)
θ = 39.999
= 40°
PLEASE HELP ME ASAP!
The difference between three times a number and the sum of twelve squared plus ninety-two equals five hundred fourteen.
Answer:
Number = 250
Step-by-step explanation:
Let x = "a number"
Difference means subtraction:
3x - (12^2 + 92) = 514
3x = "three times a number"
12^2 + 92 = "the sum of twelve squared and ninety two"
Solve from there.
3(x+5) - 3 = 2(3x + 1) - 3
how many solutions does this equation have?
Answer:
Step-by-step explanation:
1 solution: x=13/3
please help due in one hour
Bob wants to order some books from an online bookstore. Each book costs 16.50 and shipping for the entire order is a flat rate of 25.03. Bob can spend no more than 78.00
Answer:
x ≤ 3.210
Bib can buy no more Than 3 books
Step-by-step explanation:
Given that:
Cost per book = 16.50
Total shipping = 25.03
Total budgeted amount = 78
The number of books, x that can be ordered can be represented by the inequality :
16.50x + 25.03 ≤ 78
16.50x ≤ 78 - 25.03
16.50x ≤ 52.97
x ≤ 52.97 / 16.50
x ≤ 3.210
Bib can buy no more Than 3 books
Last year, a computer store sold 200 laptops at the price of $1,000 per laptop. The store manager is planning for the upcoming year. She creates the graph
shown below of the projected revenue from the sales of laptop computers for next year depending on the price increase per laptop.
Answer:
The maximum revenue of $225,000 occurs when the laptops are priced at $1,250.
Step-by-step explanation:
The vertex of the parabola shows that; maximum revenue of $225,000 occurs when the laptops are priced at $1,250.
What does the vertex of the parabola represent?We are given a graph titled projected laptop revenue based on price with price increase per laptop on the x-axis and total revenue from laptop sales on the y-axis.
Now, the vertex of the parabola is the peak of the parabola and from the coordinates on the graph, we can conclude that maximum revenue of $225,000 occurs when the laptops are priced at $1,250.
Read more about parabola vertex at; https://brainly.com/question/17987697