Answer:
30
Step-by-step explanation:
We can start by writing an equation:
2 + x / 5 = 8
We are adding 2 since we are asking for two more than the quotient, and it is set equal to 8 as given by the problem.
We can subtract 2 from both sides to isolate the x term:
2 + x / 5 = 8
-2 -2
x / 5 = 6
Now, we can multiply by 5 to cancel out the division by 5:
x / 5 = 6
* 5 * 5
x = 30
So, the number is 30.
The requried number is 30, and the equation model is x/5 + 2 = 8.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
In the question, we have given a statement, and using that we have to model an equation,
To model an equation 1 step is to assign a variable.
So let the number be x.
According to the quesiton,
Two is more than the quotient of a number and 5 is equal to 8
x/5 + 2 = 8
x/5 = 8 - 2
x /5 = 6
x = 5 × 6
x = 30
Thus, the requried number is 30, and the equation model is x/5 + 2 = 8.
Learn more about models here:
https://brainly.com/question/29216499
#SPJ2
If a cylinder has a radius of 10 cm and a surface area of 1800 cm2, what is its height?
ALSO
Why do you need to know the height of a cylinder to figure out its surface area?
Answer:
18.65 cm
Step-by-step explanation:
the surface area of a cylinder is the combination of the two circles (1 at the top, 1 at the bottom) and the area of the side wall or "mantle".
so, two equally sized circle areas and the side area.
this side area is nothing else than a rectangle that is bent around and connected to the circumference of both circles. therefore, the side lengths of this rectangle must be the cylinder height and the length of the circumference of the circles.
that is also why we need the cylinder height to get its surface area (and also volume by the way).
circle area : pi × r²
rectangle area : length × width
cylinder surface area = 2 circle areas + side rectangle area
=> 1800 = 2 × (pi×r²) + (2×pi×r)×h = 2×pi×100 + 2×pi×10×h
=> 1800 = 200×pi + 20×pi×h
=> (1800 - 200×pi) = 20×pi×h
=> (1800 - 200×pi) / (20×pi) = h = 18.65 cm
i need help with geometry
9514 1404 393
Answer:
C. 26
Step-by-step explanation:
The two marked angles are "vertical angles." They are congruent.
x +20 = 3x +8 . . . . . congruent angles have the same measure
12 = 2x . . . . . . . . . subtract x+8 from both sides
6 = x . . . . . . . . . divide by 2
∠PTQ = (x+20)° = (6+20)° = 26°
Answer:
Solutions given:
we have
<RTS=PTQ[vertically opposite angle are equal]
so
3x+8=x+20°
3x-x=20-8
2x=12
x=12/2=6
x=6
m<PTQ=6+20=26°
option c.26.
The area of the base of a rectangular prism is 40 squared inches. If the length of the prism is 4 inches, and the height of the prism is 5 inches, what is the total surface area of the rectangular prism
Answer:
220
Step-by-step explanation:
Pls help I’ll give brainliest if you show ur work
Answer:
DB = 20 cm
Step-by-step explanation:
Given:
║AB = 12 cm (represented by 'a' leg)
║AD = 16 cm (represented by 'b' leg)
║DB = x cm (hypotenuse represented by 'c' leg)
These formulas are used to solve for a missing side length:
║a = [tex]\sqrt{(c^2 - b^2)}[/tex]
║b = [tex]\sqrt{(c^2 - a^2)}[/tex]
║c = [tex]\sqrt{(a^2 + b^2)}[/tex]
Because we are solving for side length c, we will be using the third formula.
║c = [tex]\sqrt{(a^2 + b^2)}[/tex]
║c = [tex]\sqrt{(12^2 + 16^2)}[/tex]
║c = [tex]\sqrt{(144 + 256)}[/tex]
║c = [tex]\sqrt{400}[/tex]
║c = 20
Therefore, the value for side length DB should be:
║DB = 20 cm
If your car gets 22 miles per gallon of gasoline, how far
could you drive if your car has 10 gallons of gas in it?
Help I need help I don’t understand
Answer:
a) 0
b)2
Step-by-step explanation:
a) Basically, the question is asking what the x value is when the y value is at 4, which would be 0.
b) Same thing here, but with the x value is when the y value is -2.
PLEASE HELP ME I AM BEING TIMED, I WILL MARK BRAINLIEST FOR WHOEVER GETS THIS RIGHT, WITH AN EXTRA 10 POINTS.
Answer:
43.98
Step-by-step explanation:
did some quick maths
c=2
[tex]c = 2 \times \pi \times r[/tex]
I need help with 13 ABCD
Answer:
a. n (table) : 1 2 3 4 5 6
s (students):4 6 8 10 12 14
b. Arithmetric, since it is adding and corresponding with the numbers
d. 32
not sure about c though. hope this helped.
A cyclist cycles a distance of 60 miles in a time of 6 hours.
What is her average speed?
Answer: 10 mph
Step-by-step explanation:
Sebastian's Bagel Shop recorded how many bagels it recently sold in each flavor.
plain bagels6
onion bagels 6
poppy seed bagels 4
What is the experimental probability that the next bagel sold will be a poppy seed bagel?
Write your answer as a fraction or whole number.
P(poppy seed bagel)
CAN YOU ALSO EXPLAIN HOW YOU DID IT PLEASE
Answer:
16
Step-by-step explanation:
add
Answer:
1/4
Step-by-step explanation:
I know this may seem annoying, but how did you get 13/3 and 4/4 from 3 1/4 and 3/4?
"A processing machine crushes 3 1/4 kilograms of dried fruits in 3/4 minutes.
What is the rate, in kilograms per minute, at which the machine crushes dried fruits?"
All you're doing here is finding the unit rate at which the machines crushes the fruit. This boils down to dividing the amount it can crush (3 + 1/4 kg) by the time it takes to do the crushing (3/4 min):
(3 + 1/4 kg) / (3/4 min)
We can omit the units, just remember everything is measured in kilograms per minute. So we want to simplify the expression,
(3 + 1/4) / (3/4)
Write the numerator as an improper fraction:
3 + 1/4 = 12/4 + 1/4 = 13/4
(since 12 = 3*4)
Then
(3 + 1/4) / (3/4) = (13/4) / (3/4)
Multiply this by 1 = 4/4. In other words, multiply both the numerator and denominator by 4. This eliminates the fractions in either part, and you get the answer:
(13/4) / (3/4) * 4/4 = (13/4 * 4) / (3/4 * 4) = 13/3
So in one minute, the machine can crush 13/3 kg ≈ 4.333 kg of dried fruit.
A triangular piece of wood is being installed on a front porch. The piece of wood is shown below. Find its area. Round to the nearest tenths place.
Answer:
102.9
Step-by-step explanation:
Area of a triangle is A=(1/2)(h)(b) where h is the height and b is the base.
7.35 is the height and 28 is the base
A=(1/2)(7.35)(28)
A=102.9
I’m not 100% sure on this
Answer:
it's D I think
Step-by-step explanation:
..........
Answer:
D
Step-by-step explanation:
A line segment is a straight line that ends , the arrows mean the the ray or line dont end
4. Justin is training for his black belt in Tae Kwon Do, and needs to be able to
complete 100 pushups on his test. He has set up a practice schedule to
build up his strength. When he begins he is able to complete 30 pushups, but
intends to train daily and increase his pushups by 3 each week. How many
full weeks will Justin need to train in order to be ready for his black belt test?
(Only an algebraic solution will receive full credit)
Answer:
24 full weeks needed
Step-by-step explanation:
30 + 3x = 100
3x = 70
x = 23.333
24 weeks needed
A can of tomato sauce has a volume of 903 cm3 and a height of 11.5 cm. What is the diameter of the can? Group of answer choices 7 cm 5 cm 2.5 cm 10 cm
Answer:
10 cm
Step-by-step explanation:
the can is shaped like a cylinder
first step is to find the radius and then multiply the figure by 2
volume of a cylinder = nr^2h
n = 22/7
r = radius
903 = 11.5 x r^2 x 3.14
r^2 = 903 / (3.14 x 11.5)
r = 5 cm
diameter = 10cm
Find the value of one of the variables. Help
Answer:
x=10.21463052 y= 8.755647273
Step-by-step explanation:
i suggest u round.
answer this if you know no links or ill report
5√5+6×∛5∞±√5
Answer:
52
Step-by-step explanation:
Answer:
idrk i'm just going to take ur points because my other account got banned for 24 hrs like bru.h ig :/
Step-by-step explanation:
Find the amount of time.
I=$10, P=$100, r=2%
Carlos needs to paint the outside of the shed in his backyard, including its roof but not including its floor.
A rectangular prism with a length of 8 feet, width of 5 feet, and height of 6 feet.
What is the total area of the surfaces that he needs to paint?
214 feet squared
230 feet squared
300 feet squared
350 feet squared
What is the equation in point-slope form for the line parallel to y=-8x - 5 that contains j(-2, 9)
Answer:
y - 9 = -8(x + 2)
Step-by-step explanation:
What is the equation in point-slope form for the line parallel to y=-8x - 5 that contains j(-2, 9)
Step 1
y intercept =
y = mx + b
y=-8x - 5
m = -8, b = -5
Point slope form
y - y1 =m( x - x1)
We are given coordinates:
j(-2, 9) = (x1, y1) where ,
x1 = -2
y1 = 9
Hence, our point slope form equation is:
y - 9 = -8(x -(-2))
y - 9 = -8(x + 2)
Please answer correctly I’ll mark you brainlist!
Answer: 5 cm
Step-by-step explanation:
since the last step in finding area of a triangle is divide by 2, multiply the area by 2 to get the original number
30 x 2 = 60
area/base = height
60/12 = 5
Use technology to find the line of best fit for the following data.
(−7,1), (2,9), (0,7), (−3,5), (−8,−2), (−1,2), (−6,−1), (−5,0), (0,5), (1,7), (−4,2), (3,7)
When the equation of the line is in the form y=mx+b, what is the value of m?
Enter your answer as a decimal rounded to the nearest tenths place, like this: 42.5
Answer:
m=0.9
Step-by-step explanation:
hey what's the answer !!
[tex] \sqrt{25 \times 3 \times 27} [/tex]
(~‾▿‾)~
Answer:
[tex] \sqrt{25 \times 3 \times 27} [/tex]
[tex] \sqrt{5²×9²} [/tex]=±[5×9]=±45
Step-by-step explanation:
hope it is helpful to you (｡◕‿◕｡)➜(｡◕‿◕｡)➜
50 POINTS HELP PLEASE MATH BE RIGHT
A box without a top is to be made to hold copious bags of candy. It is made
from a rectangular piece of cardboard, with dimensions: width choose a number
between 1.5 ft and 3.5 ft _______ and length choose a number between 4 ft and 6ft
_______, by cutting out square corners with side length
x
and folding up the sides.Unit 7 Test, Part 2:
Modeling with Geometry
Total score: 15 points
Answer the following questions, showing all of your work. Submit your work to the
assignment box.
NOTICE how the points are broken down above each problem.
This lets you know what information is mandatory to give me in your answer.
(5 total points - 1 point correct equation for volume, 1 point correct value for x; 1
point explanation for finding x; 2 points explanation of what x- and y- coordinates
represent)
1)
A box without a top is to be made to hold copious bags of candy. It is made
from a rectangular piece of cardboard, with dimensions: width choose a number
between 1.5 ft and 3.5 ft _______ and length choose a number between 4 ft and 6ft
_______, by cutting out square corners with side length
x
and folding up the sides.
(a)
Write an equation for the volume
V
of the box in terms of
x
.
(b)
Use Desmos to graph and estimate the value of
x
,
to the nearest tenth
, that
gives the greatest volume. Explain your process. Post a snapshot of your graph
with your work.
(c)
Explain what the x- and y-coordinates represent in your eqution
Let the length of the side of the square being cut out equal x
The length of the box would be 4.5 - 2x
The width of the box would be 3 -2x
Volume = (4.5 -2x) * (3-2x) * x
Simplify to:
V = 4x^3 - 15x^2 + 13.5x
B See picture: The greatest volume would be the point of the highest curve.
x = 0.589 y = 3.565, Rounded to the nearest tenth x = 0.6
Process: entered the equation from A into Desmos. The Y value would be the volume, so found where the volume was the highest and then found the related x value.
C) X is the side length of the corner squares being cut out, which would also be the height of the box. The Y value is the volume of the box.
Need help ASAP PLEASE AND SHOW WORk DUE SOON !!!
Answer: Wrong formula, forgot to input the radius instead
Step-by-step explanation:
Formula is pie times radius^2
Find radius by dividing the diameter by half then multiplying it by pi (3.14)
PLEASE HELP THIS IS OVERDUE!!
Answer:
It is y=2x+4.
Step-by-step explanation:
Alright, so with this question, the slope and y-intercept is needed. First, lets get the y-intercept.
The y-intercept value would be 4 as this is the y value for where the line crosses over this intercept, being the coordinate (0,4).
Next, with the slope, look at where the line crosses over when the x value is 1, the y value is 6, (1, 6).
From this, we can find the slope. What is the climb/fall in the line after moving forward an x value forward? It is going up 2 y values, from 4 to 6. Therefore, the slope is 2.
With this, we can plug in the parts we need to get the final answer:
y = (2 Slope) x + (4 Y-Intercept)
y=2x+4
Answer:
[tex]y=2x+4[/tex]
Step-by-step explanation:
Written in the form [tex]y=mx+c[/tex]
The constant c is where the line intercepts the y-axis.
From the graph we can determine that c is equal to 4.
m is the slope of the line. To find it we can do [tex]\frac{dy}{dx}[/tex] where dy is the difference in y-coordinates between two points and dx is the difference between the x-coordinates.
From the graph we can pick out 2 points that lie on the line:
Point 1 (0,4)
Point 2 (1,6)
So the slope is [tex]\frac{4-6}{0-1} =\frac{-2}{-1}=2[/tex]
Now let's rewrite it in the form [tex]y=mx+c[/tex].
[tex]y=2x+4[/tex]
The Friendly Car Rentals rents cars for $35 a day. In addition to the car rental fees, there is a one time $9 fuel charge.
Answer:
What is the question to this?
please answer make your answer clear please
What is the vertex of the graph of
y = x + 12 -10?
Answer:
y=x+12-10
Step-by-step explanation:
0=x+12-10
-x=2
x=-2
please help me I’ll give brainliest if correct
Answer:
I would say the first one
Step-by-step explanation:
The others don't make any sense, and that is the only one that mentions 2 x and 5 1s.
Answer:
number 4
Step-by-step explanation:
count onn me