Answer:
10 guests
Step-by-step explanation:
Step one:
Desmond bought 7 1/2 pints of ice cream
each guest gets a 3/4 pint
Required
The number of guests that Desmond can serve
Step two:
let us convert 7 1/2 to a simple fraction
= 15/2
The number of guests to be served is
=15/2/3/4
multiply the numerator by the inverse of the denominator
=15/2*4/3
=60/6
=10 guests
The population of a town is 20.000. It decreases at a rate of 9% per year. In about how many years will the population be fewer than 13,000?
It will take approximately four years for the population to be fewer than 13,000.
What is the rate?A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.
The population of the town is 20.000. It decreases at a rate of 9% per year.
The population of the town decreases by 20,000 × 9% = 1,800 people per year.
To determine how many years it takes for the population to fall below 13,000, you can use the formula:
= (20,000 - 13,000) / 1,800
= 3.88 ≈ 4 years
So, it will take approximately 4 years for the population to be fewer than 13,000.
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PLEASE HELP ME!
100 POINTS!
A cylinder has a volume of 20x®y4 units cubed. If the base of the cylinder has an area of
5x"y2 units squared, which of the following expressions represent the height of the cylinder?
(Hint: V = Bh)
O 100x®y
O 15wy?
o 4x®y?
O 4xy?
Answer:
100xy
Step-by-step explanation:
The height of the cylinder is 4x³y² unit.
The correct option is A.
What is a cylinder?A cylinder is a 3D solid form made up of two bases that are parallel and identical and are connected by a curving surface. These bases resemble spherical disks. The axis of the cylinder form is a line drawn through the center or connecting the centers of two circular bases.
Given:
A cylinder has a volume of 20x⁶y⁴ units cubed.
The base of the cylinder has an area of 5x³y² units squared.
And the volume of the cylinder V = Base area x height.
So, 20x⁶y⁴ = 5x³y² (height).
The height of the cylinder = 20x⁶y⁴/ 5x³y²
The height of the cylinder = 4x³y²
Therefore, 4x³y² is the height of the cylinder.
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The complete question is given in the attached image.
I need help with math homework algebra #4
Answer:
A. (-5, 0) and (1, -3)
B. Slope (m) = -½
C. y + 3 = -½(x - 1)
D. y = -½x - ⁵/2
E. ½x + y = ⁵/2
Step-by-step explanation:
A. Two points on the line from the graph are: (-5, 0) and (1, -3)
B. The slope can be calculated using two points,(-5, 0) and (1, -3):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 0}{1 -(-5)} = \frac{-3}{6} = -\frac{1}{2} [/tex]
Slope (m) = -½
C. Equation in point-slope form is represented as y - b = m(x - a). Where,
(a, b) = any point on the graph.
m = slope.
Substitute (a, b) = (1, -3), and m = -½ into the point-slope equation, y - b = m(x - a).
Thus:
y - (-3) = -½(x - 1)
y + 3 = -½(x - 1)
D. Equation in slope-intercept form, can be written as y = mx + b.
Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.
y + 3 = -½(x - 1)
2(y + 3) = -1(x - 1)
2y + 6 = -x + 1
2y = -x + 1 - 6
2y = -x - 5
y = -x/2 - ⁵/2
y = -½x - ⁵/2
E. Convert the equation in (D) to standard form:
y = -½x - ⁵/2
½x + y = ⁵/2
What is the simple interest earned when the principal is $500 at a rate of 10% held in the ban for 8 months?
S.I= PRT /100
where,
P = price $500
R = rate 10%
T = time =8months
= $500*10*8/100
= $40,000/100
S.I = $400
GIVING BRAINLIST Use the number line to answer the question. Each tick represents 1 unit.
Which of the following points represents the largest number?
P
M
J
H
Solve this system of equations using elimination. Write your answer as an ordered pair,
5x-2y = 10
4x + 2y = 8
Answer:
Solving the system of equations using elimination method, we get x=2, y=0
The ordered pair is: (2,0)
Step-by-step explanation:
We need to solve the system of equations using elimination method.
[tex]5x-2y = 10\\4x + 2y = 8[/tex]
Let:
[tex]5x-2y = 10--eq(1)\\4x + 2y = 8--eq(2)[/tex]
Add both equations to eliminate y and find value of x
[tex]5x-2y = 10\\4x + 2y = 8\\------\\9x=18\\x=\frac{18}{9}\\x=2[/tex]
We get value of x=2
Now, finding value of y by putting value of x in eq(1)
[tex]5x-2y=10\\Put\:x=2\\5(2)-2y=10\\10-2y=10\\-2y=10-10\\-2y=0\\y=0[/tex]
We get value of y= 0
Solving the system of equations using elimination method, we get x=2, y=0
The ordered pair is: (2,0)
Answer:
the answer is C
Step-by-step explanation:
The population of a city is estimated to decline according to the model P(t)=197000e^-0.014t, where t is the number of years present. What does the model predict the population will be in 13 years?
Find the degree measure of the angle with the given radian measure. (Round your answer to one decimal place.)
Answer:
108 degrees
Step-by-step explanation:
Since we are not given the radian measure. Let the radian measure be 3π/5 rad;
Using the conversion;
πrad = 180°
3π/5 rad = x
Cross mulriply;
π * x = 180 * 3π/5
x = 180 * 3/5
x = 36 * 3
x = 108 degrees
Hence the degree measure is 108 degrees
Note that the same conversion can be used to convert other values in radians
Find the distance from San Antonio to El Paso.
633 mi
344 mi
558 mi
261 mi
Answer:
558
Step-by-step explanation: I just took the quiz!
Distance from San Antonio to El Paso in Miles is 558 miles
Find:Distance from San Antonio to El Paso in Miles
Computation:
We know that
Distance from San Antonio to El Paso is 888 km
So,
1 km = 0.621371 miles
Distance from San Antonio to El Paso = 888 × 0.621371
Distance from San Antonio to El Paso in Miles = 558 miles
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Simplify 8x + 9d + 3x -5d
Please Do Show Your Work Explanation
Answer:
The answer is =4d+11x
Step-by-step explanation:
8x + 9d + 3x -5d
=9d-5d+8x+3x
=4d+11x
Answer:
putting in arranged and sum the like terms
8x+3x+9d-5d
11x+4d
Acellus help slope intercept
Greetings.
The answer is y = 2x + 7.
Explanation:
If you are an expert in graph then you are able to find the slope without calculating. (Rise over Run by looking at the graph.)
We can also find the slope by calculating m-value.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] ---> Rise Over Run
But how are we gonna calculate if we don't have any two given ordered pairs?
The answer is, we can just pick two ordered pairs that are part of the graph, or rather say that the graph passes through.
The graph passes through (-3,1) and (-2,3).
Then we can calculate the slope by using rise/run.
[tex]m=\frac{3-1}{-2-(-3)}\\m=\frac{2}{-2+3}\\m=\frac{2}{1}\\m=2[/tex]
Thus, the slope is m = 2.
However, we are not done yet. We just only found out the slope. We need to find the y-intercept too.
From Linear Function - [tex]y=mx+b[/tex]
Where m = slope and b = y-intercept.
Since b = y-intercept, we don't need to calculate/substitute x = 0. We simply find which number the graph has y-intercept at.
Which is (0,7), the y-intercept.
Then we substitute b = 7 as y-intercept.
Thus the answer is [tex]y=2x+7[/tex]
What is |-8|?
-16
-8
08
16
Answer:
it's 8
Step-by-step explanation:
lol girl I did this in the first day of school in 6th and I got the same answer , -8 is a negative, your supposed to put it back to a non negative when something is negative change it back to positive it's 8!
There are 125 people on a mountain trail. If 55 people on the trail are children, what percentage of the people on the trail are children?
Answer:
44%
Step-by-step explanation:
.44 x 125 equals 55 n
Answer:
The percentage of people who were children = 44%
Step-by-step explanation:
Total people = 125Children on the trail = 55We need to determine the percentage of the people on the trail who are children.
All we need is to divide 55 by the total number of people i.e. 125 and then multiply the result by 100.so
Children percentage = 55 / 125 × 100
= 0.44 × 100
= 44%
Therefore, the percentage of people who were children = 44%
Verify experimentally that the angle opposite to the longer side is greater than
the angle opposite to the shorter side in any triangle (at least two figures are
necessary)
Answer:
If two sides of a triangle are unequal, the angle opposite to the longer side is larger (or greater). You may prove this theorem by taking a point P on BC such that CA = CP.
Step-by-step explanation:
That's how you can prove which side is bigger
Find the inverse: f(x) = -3 -4/3 x
Answer:
3+4/3x
Step-by-step explanation:
A T-shirt company charges a design fee of $25 and then sells the shirts for $10 each. The total cost y can be represented by the equation y = 10x + 25, where x represents the number of T-shirts. The graph of the equation is shown. Describe what the slope and y-intercept represent.
Answer:
y-intersept is the design fee
bölenin 8,bölümün 68 olduğu bir bölme işleminde bölünen sayı en fazla kaç olur
Cevap:
68 bölü 8, bundan çıkardığım şey, yanılıyorsam cevabımı sil. Ancak 68 bölü 8 = 8,5
Three concert tickets cost $27. At this rate, what is the cost per ticket?
Hello.
To find this, divide the cost per amount.
In this case, the cost of the tickets is $27, and the amount is 3.
Divide 27 by 3.
27 / 3 = 9
Each ticket costs $9.
Answer:
$9 per ticket
Step-by-step explanation:
all you do is divide 27 by 3 and get 9
Plz help me I’m stuck plz
Answer:
ok step bro are you stuck let me help
Find the value of the power 6 to the -4th
Answer:
6 to the -4th is 7.716 x 10^-4
Step-by-step explanation:
given: 2c=d-2b, c=a-b, d=a+b prove: a=b
Answer:
D
Step-by-step explanation:
Lucy rides her bicycles 240 feet. A wheel of her bicycle turns 40 times as the bicycle travels this distance. What is the diameter of the wheel?
Two pounds of cashews cost $19, and 8 pounds cost $76.
Number of pounds 2 3 8
Cost ($) 19 28.50 76
Is the relationship between the cost and the number of pounds of cashews a proportional relationship? Explain.
How can you use your equation to find the cost of 6 pounds of cashews?
Would it be possible to prove this is proportional or not proportional without the table? Explain how you know.
Please reply quickly thanks : )
Answer:
Yes there is a proportinal relationship because when I did 19 divided by 2 I got 9.5 and when I do 76 divided by 8 I got 9.5 so its proportinal. Yes I can find how much money 6 pounds is its 57. And yes I can do it without a table because all you have to do is divide the 19 and 2 and the other 2 numbers and if there the same then its proportinal.
Step-by-step explanation:
BRAINLIEST MAYBE???
I don't get this find all missing angles what does it mean how do I do it
First, you can find angle 1 by using the triangle angle formula, stating that all angles add up to 180 deg. Thus, angle 1 is equal to 180-72-57= 51 deg.
Next, you can find angle 2 by using the right angle shown. This means that angle 2 plus 72 deg = 90 deg. Thus, angle 2 is equal to 90-72= 18 deg.
For angle 3, notice that it is bordering the other angle on a straight line. A straight line is equal to 180 deg. This means that angle 3 + 57 deg = 180 deg. Thus, angle 3 is equal to 180-57= 123 deg.
Angle 4 can be found by using the triangle angle formula used for angle 1. In this case, angle 2+3+4 will equal 180 deg. Thus, angle 4 is equal to 180-18-123= 29 deg.
Answer:
1= 51
2= 18
3= 123
4= 39
Step-by-step explanation:
First you must know that all triangles equal 180. From there you can add and subtract the known numbers to get your answers. For example with angle 1, because you are give 72 and 57 you must add them together to get 129 then subtract that from 180 to get 51. You can do similar steps for all the angles to receive the answers.
please answer to the above question
Answer:
b
Step-by-step explanation:
I did this assignment and got the highest grade
i need help with this question please
Answer: it C
Step-by-step explanation: if it not incorrect sorry for the wrong answer
Write an equation for the n th term of the arithmetic sequence 56, 48, 40, 32, ....
Answer:
-8n+64
Step-by-step explanation:
14) The value of y varies directly with x, and y = 3.6 when x = 6. Find y when x= 48.
Please and thank you. I needed now. Please help
Answer: y = 28.8
Step-by-step explanation:
By using ratios
if the values vary with each other, then they will increase the same amount. 6x8 is 48. So 3.6 x 8 is your answer, 28.8
6. Lars walks his dog 4 times farther than Michelle
walks her dog. Michelle walks her dog 0.23 mile.
How far does Lars walk his dog?
Answer:
0.92
Step-by-step explanation:
4x^2-9×-9=0 solve using quadratic equation