3. A tomato sauce company currently sells tomato sauce in a
cylindrical can that has a radius of 5 cm and a height of 12 cm.
They have plans to use larger cans to sell tomato sauce in bulk.
The new cylindrical cans are to be similar to the original cans
and have a height of 60 cm.
If the original can holds 1487 cm³ of tomato sauce,
how much tomato sauce will the new can hold?
√x cm³
V=
Tomato sauce will the new can hold is 743[tex]cm^{3[/tex]
let take us take,
V = Sh
[tex]S_{1} =S_{2}[/tex]
[tex]h_{1[/tex] = 12 cm
[tex]h_{2}[/tex] = 60 cm
[tex]\frac{V_{1} }{V_{2} } = \frac{h_{1} }{h_{2} }[/tex]
[tex]\frac{1487}{v_2} } = \frac{12}{60}[/tex]
= 743[tex]cm^{3[/tex]
What is Height?Height means the vertical distance, either between the top and bottom of something or between the bottom and the thing above it. height refers to being tall or short as measured vertically.
Height is a way of measuring someone or something from the bottom to the top or from the head to the feet. In other words, height indicates how tall someone or something is. We can compare how tall we will be when we grow up. We often compare the average height of men and women in different countries.
To learn more about height, refer;
https://brainly.com/question/10726356
#SPJ13
The gas mileage m(x) (in mpg) for a certain vehicle can be approximated by m(x) = -0. 028x² + 2. 688x – 35. 012, where x is the speed of the vehicle in mph. A. Determine the speed at which the car gets its maximum gas mileage. B. Determine the maximum gas mileage
The speed for maximum car mileage will be 48 mph. The maximum gas mileage will be 29.5 mpg.
We are provided with an equation for mileage of car as
m(x) = -0.028x² + 2.688x -35.012
here , variable 'x' is the speed of the car.
Now
for the maximum speed of the car we have to first take the derivative of m(x) and then for the boundary value condition by putting the derivative equal to zero.
comparing to the equation ax² + bx + c , if the value of
'a' is positive, then we have minimum value at 1st derivative = 0
'a' is negative we have maximum value .
in this case a = -0.028 ( -ve) so we will have a maxima at 1st derivative.
so, dm/dx = -0.056x + 2.688
putting the 1st derivative = 0 , we have
x = 48
therefore , car gets maximum gas mileage at speed of 48 mph.
Also , putting this value in equation (1) we will get max. mileage.
so max. mileage = -0.028 (48)² + 2.688 x 48 - 35.012
= -64.512 + 129.024 - 35.012
= 29.5
so the maximum gas mileage will be 29.5 mpg .
learn more on speed and mileage here :
https://brainly.com/question/13444557
#SPJ4
beth wants to paint a circular tabletop that has a radius of 3 feet. a small can of paint covers 15 square feet. how many cans will beth need to buy?
To paint the circular table top Beth need to buy 2 cans of paint .
In the question ,
it is given that ,
the radius of the circular table top is = 3 feet
So , the area of the circular table top is = π*r² = π*(3)²
= 9π
= 28.26
also given that
area covered by 1 small can of paint = 15 sq. feet
So , the number of cans needed to paint the table top is = (area of table top)/(area covered by 1 small can of paint)
On substituting the values , we get
number of cans needed to paint the table top is = 28.26/15
= 1.884
≈ 2
Therefore , To paint the circular table top Beth need to buy 2 cans of paint .
Learn more about Area here
https://brainly.com/question/28967039
#SPJ1
Dominoes region seven manager projects a net income of $725,000 the net income typically represents 30% of total annual sales based on his projections what will be the annual sales
We were informed that the net income will be $725,000, since that value represents 30% of the total annual sales we can apply a rule of three to solve the problem. We do that by making 30% represent $725,000 in the same proportion that 100% represents the total anual sales, x. We have:
[tex]\frac{30}{100}\text{ }\frac{\text{ \%}}{\text{ \%}}=\frac{725000}{x}[/tex]We can cross multiply to find the value of "x".
[tex]\begin{gathered} 30\cdot x=100\cdot725000 \\ x=\frac{72500000}{30} \\ x=2416666.667 \end{gathered}[/tex]The total annual sale on this year will be approximately $2,416,666.667.
Please help me please I’m begging I WILL GIVE YOU BRAINLEST 1-8
Answer: have you tried m a t h w a y
Step-by-step explanation:
Here is a polygon.
Draw a scaled copy of the polygon with scale factor 3.
Scaled copy of the polygon with scale factor 3 is given below.
What is a polygon?A polygon is a closed polygonal chain made up of a finite number of straight line segments and is a type of planar figure in geometry. A polygon is a region that is bounded by a bounding circuit, a bounding plane, or both.
A polygonal circuit's segments are referred to as its edges or sides. A polygon is a geometric object with two dimensions and a finite number of sides. A polygon's sides are made up of segments of straight lines that are joined end to end.
Polygons include shapes like triangles, quadrilaterals, pentagons, and hexagons. The shape's number of sides is indicated by the name. A quadrilateral has four sides, whereas a triangle has three.
To learn more about polygon from given link
https://brainly.com/question/26583264
#SPJ9
A rectangle has an area of 40 square units. The length is
6 units greater than the width.
Mark this and return
What are the dimensions of the rectangle?
O 8 by 5
O 10 by 4
O11 by 9
O 13 by 7
Save and Exit
Next
Submit
The dimensions of the rectangle will be equal to 10 by 4.
A rectangle may be defined as the closed figure having four sides with the interior angles equal to 90°. it has two dimensions the length and the width. The area of a rectangle may be defined as the product of its length and width. According to the question the area of the rectangle is given as 40 square units. Let us assume the length as 'l' units and width as 'b' units. It is given that length is 6 units greater than the width that is l = (b + 6).
Now, the area of the rectangle = l×b
40 = (b + 6)×b
40 = b² + 6b
=> b² + 6b - 40 = 0
=> b = [-6 ± √(36 + 160)]/2
=> b = (-6 ± 14)/2
=>b = 4 units, since width cannot be negative.
Now, length = b + 6 = 10 units.
Learn more about Area at:
brainly.com/question/11359378
#SPJ9
give two examples of each of linear equations
Answer:
(2x + 5)/(x + 4) = 1
and
6x - 19 = 3x - 10
Step-by-step explanation
Linear euqations are the equation for the straight line. When graphed both equations will be straight lines.
Hope this helps you!
x^2 - xy = 14
y^2 +xy = 60
The answer is
x = 7, -7, √2, -√2
Add the two equations to get
x2 + y2 = 74
Eliminate y from the first by solving for y and using that result:
(x2 − 14) = x√74 - x2
square both sides, then condense:
x4 − 51x2 + 98 = 0
These ready factors:
(x−7)(x+7)(x−√2)(x+√2)=0
I'll let you handle it from there, but keep in mind that if we square all sides, we might find roots that need to be pulled out afterward.
Therefore,
x = 7, -7, √2, -√2
Let's learn more about the functions of Equations
https://brainly.com/question/2983725
Idil is deciding between two different movie streaming sites to subscribe to. Plan A costs $18 per month plus $1 per movie watched. Plan B costs $8 per month plus $3 per movie watched. Let AA represent the monthly cost of Plan A if Idil watches x per month, and let B represent the monthly cost of Plan B if Idil watches x movies per month. Write an equation for each situation, in terms of x, and determine which plan would be cheaper if Idil plans on watching 6 movies each month.
The cheaper plan here would be plan A. The equation that is written in terms of the plans on movies is 0 < x < 5
How to solve the equationFor the plan A, we would have the function to be given as
A = 1x + 18
This is due to thge fact that this plan is said to cost $18 per month plus $1 per movie watched.
For plan B the function would have to be:
B = 3x + 8
The equation that we would have here would be
1x + 18 < 3x + 8
= x - 3x < 8 - 18
= -2x < -10
x < 5
Hence we would have the equation as 0 < x < 5
Cheaper plan
1x6 + 18 = 24
3x 6+ 8 = 18 + 8 = 26
Plan A id cheaper
Read more on equations here:
https://brainly.com/question/19025219?referrer=searchResults
#SPJ1
Kelly drove 238 miles on 6 1/6 gallons of gasoline. Calculate how many miles per gallon she gets in her vehicle.
Kelly gets 38.59 miles per gallon of gasoline
Miles drove by Kelly = 238 miles
Gasoline used by the car = 6 1/6 gallons
Gasoline used in the car in improper fraction = 37/6 gallons
Average fuel economy: Average fuel economy of a car gives the distance covered by the car in one gallon of gasoline. This is an important factor to consider while buying or using a car as it is a major source of expenditure for the car.
To calculate miles per gallon we use the following formula:
Miles per gallon = Miles driven/ Gasoline used in the car
= 238/(37/6)
= 238*6/37
= 38.59
Miles per gallon = 38.59
Learn more about fuel economy:
https://brainly.com/question/28695767
#SPJ1
A right pyramid has a surface area of 258 cm2. A right cone has a base radius of 4 cm. The cone and pyramid have equal surface areas. What is the height of the cone to the nearest tenth of a centimetre?
The height of the cone to the nearest tenth of a centimeter is 17.40 cm.
From the given information provided in the question, we can solve this problem by following a few steps.
The surface area of a right pyramid is 258 cm² according to the question.
The surface area of the cone is equal to the surface area of the right pyramid. Therefore the surface area of the cone is also 258 cm².
The surface area of a cone is denoted as ( πrh + πr² ).
Where h is denoted as the height and, r is denoted as the radius of the cone which is 4 cm.
Hence the surface area of the cone is,
SA = (π× 4× h+ π× 4² ) cm²
Now, we can generate an equation, as both represent the value of the surface area of the cone.
(π× 4× h+ π× 4² ) = 258
Or, (12.56h + 39.44) = 258 [ The value of π is 3.14 ]
Or, 12.56h = 258 - 39.44 [ subtracting 39.44 from both sides ]
Or, 12.56h = 218.56
Or, h = 218.56/12.56 [ dividing both sides by 12.56]
Or, h = 17.40
Now, we can conclude that the height of the cone is 17.40 cm.
To know more about surface area visit,
https://brainly.com/question/2835293?referrer=searchResults
#SPJ9
The function -2x^2-8x+42 represents the approximate height of an object (x seconds) after it is thrown off the top of a building. How many seconds does it take for the object to hit the ground?
The function is given to be:
[tex]-2x^2-8x+42[/tex]The object hits the ground when the function is equal to zero:
[tex]-2x^2-8x+42=0[/tex]Solving the equation by factorization, we have:
[tex]\begin{gathered} 2(-x^2-4x+21)=0 \\ -x^2-4x+21=0 \\ -x^2-7x+3x+21=0 \\ -x(x+7)+3(x+7)=0 \\ \therefore \\ (-x+3)(x+7)=0 \\ Hence \\ x=3,x=-7 \end{gathered}[/tex]Since the time cannot be negative, then the time will be 3 seconds.
Therefore, it will take 3 seconds for the object to hit the ground.
the product x squared and y increased by 4
PLEASE HELP!!!!! It’s algebra
Answer:
k=3/10
Step-by-step explanation:
8y=12x+6 >>>>(÷8) both sides
y= (3/2)x+(3/4)
if x=0, y=3/4
4y=k(3x+10) >>> plug in (0, 3/4)
4(3/4)= k(0+10)
3= 10k >>> (÷10) both sides
k=3/10
i don't know non of this and i need help pls
By using the fact that ∠4 and ∠5 add up to 180° and ∠5 = ∠7, we conclude that the measures of the angles are:
∠5 = ∠7 = 56°.
How to find the measures of the angles?For angles formed by the interception between lines meet the following property.
If the angles are one next to the other, the measures add up to 180°.
If not, then the two angles have the same measure.
This means that:
∠5 = ∠7
∠8 = ∠6
And so on.
If the two horizontal lines are parallel, then:
∠5 = ∠1
And we know that:
∠4 + ∠1 = 180°
124° + ∠1 = 180°
∠1 = 180° - 124° = 56°
Then we get that:
∠5 = ∠7 = 56°.
Learn more about angles:
https://brainly.com/question/25716982
#SPJ1
Please help!! It’s geometry and I just need the answer quick
Answer:
4.5
Step-by-step explanation:
May you guys/girls please help me I have to submit this before midnight and I do not fail because my parents will get me , so may y'all please help me out!?
Answer:
Slope = 1/2 or 0.5
Step-by-step explanation:
Picking two integer points on the line, (any)
(-3, 2) and (-1, 3)
We can find the slope
(3-2)/(-1-(-3)
=1/2
:]
26 = -12u - 9 + 7u solve for u and simplify as much as possible
Answer:
u = -7
Step-by-step explanation:
26 = -12u - 9 + 7u
combine u terms on right side:
26 = -5u - 9
add 9 to both sides:
26 + 9 = -5u - 9 + 9
35 = -5u
divide both sides by -5:
35/-5 = -5u/-5
u = -7
simplify 0.027^2/3 PLEASE
Answer:
Hope the picture will help you
Answer:
2.718
Step-by-step explanation:
let x = .027^2/3
x=.027^.67
applying natural log on both sides
lnx = ln.027^.67
lnx = .67ln.027
lnx = 2.42004
applying antilog on both sides
x = e^2.42004
x = 2.718
thus, .027^2/3 = 2.718
7.
In the given image, the measure of 2x is
Only enter the number.
P
N
142°
90°
X
* REQUIRED
M
U
Answer:
Angle LMN = 180 - 142
= 38° (sum of angles on a straight line=180)
x = 180 - 90 - 38
= 52° (sum of angles in triangle=180)
1. A trapezoid is pictured on the right. Its bottom base a is not changing while its top base b is increasing at the rate of 3 inches per second while its height h is decreasing at the rate of 0.5 inches per second. How fast is the area of the trapezoid changing, measured in square inches per second, at this moment?
A) -2.5
B) -.75
C) 1
D) 2
(Please explain)
Answer:
the answer is A...
Step-by-step explanation:
Calculate Area (A):
The area formula for a square is denoted below:
A = s2
Taking the square root of both sides, we get:
s = √A
s = √3
s = 1.7320508075689
can someone please help me answer this im really confused. Thank you so much if you help!!
Answer:
y=2X - 6
Step-by-step explanation:
find the slope using the 2 points
m = 8-2/7-3 = 2
substitute 4,2 in the equation y=mx+b and solve for b.
2 = 2x4+b
b=-6
y = 2x - 6
Answer:
Slope intercept formula: y = 2x -6
Point Slope formula y = 2x-6
Step-by-step explanation:
1) Find the slope
2) Choose a point and plug it into the equation y = mx+b
3) Solve for b
4) Plug-in new slope (m) and new y-intercept (b) into equation y = mx+b
Solving:
4 = x1
2 = y1
7 = x2
8 = y2
to find slope with slope formula:
m = y2-y1/x2-x1 = 8-2/7-4 = 6/3 = 2
now plug in,
y = 2x+b
to find b, take any one of the pair
(i will choose (4,2) )
2 = 2(4) + b
now solve for b,
2 = 8+b
b = -6
Slope intercept formula: y = 2x -6
for point slope: y-y1 = m(x-x1)
as we know our slope is 2 and points are (0,-6) where 0 is x1 and -6 is y1
now we plug in,
y-(-6) = 2(x-0)
y+6 = 2x
Point Slope formula y = 2x-6
Hope this helps! Please like!!
:)
The half-life of a certain medication is 2 hours, and a patient takes a single 400-milligram dose of the medication.
After 6 hours, there will be X milligrams of medication left in the patient's body.
After 7 hours, there will be X milligrams of medication left in the patient's body. Round your answer to the nearest hundredth.
After 8 hours, there will be X milligrams of medication left in the patient's body.
The number of milligrams of medication medication left after 6 hours is; 50 milligrams.
The number of milligrams of medication medication left after 7 hours is; 35.36 milligrams.
The number of milligrams of medication medication left after 8 hours is; 25 milligrams.
What amount of medications is left in the body after each of the given time intervals?It follows from the task content that the amount of medications left in the patient's body be determined in each case.
Recall the formula for the amount of substance remaining for half life situations is as follows;
A = N (1/2)^(t/half-life)
Since half life = 2 hours and N = 400 milligrams;
Hence;
At t = 6hrs; A = 400(1/2)^(6/2) = 400(1/2)³ = 50millograms.At t = 7hrs; A = 400(1/2)^(7/2) = 400(1/2)^(3.5) = 35.36 millograms.At t = 8hrs; A = 400(1/2)^(8/2) = 400(1/2)⁴ = 25 millograms.Read more on half-life;
https://brainly.com/question/25750315
#SPJ1
Nathan eats the same amount of lunch meat everyday. If Nathan eats 2 pounds of lunch meat in 8 days, he eats pound(s) of lunch meat per day
Using fraction, He consumes 1/4 pound of lunch meat each day.
Describe fraction.A fraction, expresses a piece of a whole, a fraction, such as one-half, eight-fifths, or three-quarters, specifies the number of components of a respective size.
Given,
He consumes 2 pounds of beef in 8 days.
We need to determine how much meat he consumes each day.
To ascertain:
He consumes 2/4 of a pound of beef in a day.
= 1/4
He thus consumes 1/4 pound or less of lunch meat every day.
To learn more about Fraction click on the link
https://brainly.com/question/78672
#SPJ9
keisha's basketball team must decide on a new uniform. the seventh-graders will pick the color of the shorts (black or gold) and the eighth-graders will pick the color of the jersey (black, white, or gold), but the two groups of players will not confer together. if, for both garments, each possible color is equally likely to be chosen, what is the probability that the shorts will be a different color than the jersey? express your answer as a common fraction.
The probability that the shorts of the basketball team will be of a different color than the jersey is 2/3.
Probability can be found using the following formula;
probability = number of favorable outcomes or events ÷ total number of outcomes or events
In order to calculate the probability that the shorts will be of a different color than the jersey, we first determine the total number of combinations that are possible;
1- Black-Black
2- Black-White
3- Black-Gold
4- Gold-Black
5- Gold-White
6- Gold-Gold
Hence there are a total of 6 possible combinations of shorts and jerseys out of which 2 are the same and 4 are different.
Therefore the probability that the shorts will be of a different color can be calculated as follows;
probability = number of favorable outcomes or events ÷ total number of outcomes or events
probability = 4 ÷ 6
probability = 2/3
Hence, 2/3 is the probability that the shorts will be of a different color than the jersey.
To learn more about probability, click here:
https://brainly.com/question/24756209
#SPJ4
I need help with this can someone please help?
HG is the answer.
hope this helps
The first one is GH Segment.
Both shapes are similar. The figure on the right is a scaled version of the figure on the left. The VU edge in the left figure corresponds to the GH edge in the right figure.
The second one is %[tex]150[/tex].
As can be seen, the VU edge is [tex]2[/tex] units long while the GH edge is [tex]3[/tex] units long. By proportioning these edges and multiplying by [tex]100[/tex], we find the scaling factor. It is [tex]\frac{3}{2}[/tex].
PLEASE HELP WHAT IS THE ANSWER
Triangle DAC is isosceles.
The correct option; Angle BAD is congruent to angle BCA, is requited to show ΔDBA ≅ ΔCBA by side-angle-side congruence theorem.
What is meant by congruence of triangles?If all 3 corresponding sides are equal as well as all 3 corresponding angles seem to be equal in measure, two triangles are said to be congruent.
These triangles could be moved, rotated, flipped, and turned to look exactly the same. They coincide if they are repositioned. ' is the symbol of congruence.side-angle-side congruence theorem: By SAS rule, two triangles are said to be congruent if any two sides and the angle would include between the sides with one triangle are equivalent to a corresponding two sides and also the angle would include here between sides of the second triangle.
For the given triangles;
ΔDBA and ΔCBA
Side AC = Side AD
Side AB = Side AB (common)
Thus, to make both triangles congruent the angles falling in between these two triangles must be equal.
Thus, Angle BAD is congruent to angle BCA,
To know more about congruence of triangles, here
https://brainly.com/question/3999145
#SPJ13
Referring to the image how does 2 become 8?
Answer:
see explanation
Step-by-step explanation:
each term inside the parenthesis is raised to the exponent outsie, that is
(2xy)³
= 2³ × x³ × y³ ← 2³ = 2 × 2 × 2 = 4 × 2 = 8
= 8x³y³
If you earn $7.50 per hour at your job how much will you earn if you work 25 hours?
Answer:
$187.5
Step-by-step explanation:
.
Answer:
187.50
Step-by-step explanation:
7.5(25)=187.50
hope this helped
have a good day^^