Answer:
x = 1851851.851....
Step-by-step explanation:
Given statement:
2.7% of x equals 50,000.
When we convert the statement into an equation, we get;
⇒ 2.7% × x = 50,000
A percentage is always written as (Percent)/100 in fraction form. Thus;
⇒ 2.7/100 × x = 50,000
Using cross multiplication:
⇒ 2.7 × x = 50,000 × 100⇒ 2.7 × x = 5,000,000To determine the value of x, we need to isolate it. This can be done by dividing the cooeficient of x both sides.
Divide both sides by 2.7
⇒ (2.7 × x)/2.7 = 5,000,000/2.7⇒ x = 1851851.851....Answer:
Percent in decimal form:
[tex]\sf 2.7\% = \dfrac{2.7}{100} = 0.027[/tex]
Therefore:
27% of X = 50000
[tex]\sf \implies 0.027 \cdot X=50000[/tex]
[tex]\sf \implies X=\dfrac{50000}{0.027}[/tex]
[tex]\sf \implies X=\dfrac{50000 \times 1000}{0.027 \times 1000}[/tex]
[tex]\sf \implies X=\dfrac{50,000,000}{27}\quad \textsf{(as a fraction)}[/tex]
[tex]\sf \implies X=1,851,852\quad \textsf{(nearest whole number)}[/tex]
The cost of buying a small piece of land in a remote village since the year 1990 is represented by the following table: Time (years) Cost (thousands of dollars) 0. 30 36.9 44.1 51.1 57.9 65.1 21 4 6 8 10
which modle for C(t), the cost of the piece of land t years since 1990, best fits the data?
C(t) = 30 × (1.23)^t
C(t) = 30 + 7t
C(t) = 30 + 3.5t
C(t) = 30 × (1.12)^t
Answer:
Step-by-step explanation:
C(t)=30+3.5t
hope this help yw and can i get brainly pls
What is the following product?
3 StartRoot 2 EndRoot (5 StartRoot 6 EndRoot minus 7 StartRoot 3 EndRoot
On Saturday, the fruit and juice bar was selling 21 glasses of fruit punch an hour. By 4 p.m., they had sold 126 glasses. If their goal was to sell more than 252 glasses of fruit punch, find the number of hours, h, they must stay open to make their goal.
A.
h > 12
B.
h > 8
C.
h > 6
D.
h > 14
Answer:
option C, 6
Step-by-step explanation:
If we subtract 252 - 126
we get 126 then divide by 21 to get 6.
therefore 6 hours
edit: If you liked my answer Brainlist Please.
= $3500
= $4750
What is the value of each?
Answer:
The boat is 2000 and the bird is 750.
Step-by-step explanation:
1. 750+750=1500
1500+2000=3500
2. 2000+2000=4000
4000+750=4750
A cone has a height of 6 inches and a radius of 7 inches. What is the volume? Keep your answer in terms of pi.
Answer:
V≈307.88in³
Step-by-step explanation:
V=πr2h
3=π·72·6
3≈307.87608in³
Answer:
[tex]98\pi[/tex]
Step-by-step explanation:
The formula of the volume of a cone is given by [tex]V=\frac{\pi r^2h}{3}[/tex], which, applying the values yields [tex]V=\frac{\pi 7^26}{3} = 98\pi[/tex]
PLEASE HELP I WILL GIVE 40 pts
Answer:
option C is the answer
Step-by-step explanation:
I think it will help you
A two-variable inequality is shown in the graph.
Which point is not included in the solution set for the inequality?
(–1, 3)
(0, 4)
(1, 5)
(2, 4)
The point which is not included in the solution set for the inequality of the two-variable inequality shown in the graph is (-1,3).
How to graph the inequality?Inequality of a graph is represented with the greater then(<), less then(>) or with the other inequity signs. The inequality line on the graph is represented with the dotted lines.
A two-variable inequality is shown in the graph. It is a parabola. The vertex form of parabola is the equation form of quadratic equation which is used to find the coordinate of vertex points at which the parabola crosses its symmetry.
The standard equation of the vertex form of parabola is given as,
[tex]y=a(x-h)^2+k[/tex]
Here, (h, k) is the vertex point. In the graph, vertex points are (1,2). Thus, the equation become,
[tex]y=a(x-1)^2+2\\[/tex]
By the point of graph (0,3), find the value of a,
[tex]3=a(0-1)^2+2\\3=a+2\\a=3-2\\a=1[/tex]
Thus, the equation become,
[tex]y=1(x-1)^2+2\\y=x^2-2x+1+2\\y=x^2-2x+3\\[/tex]
The graph of this line is attached below. In this graph only point (-1,3), does not fall hence, does not satisfy the equation.
Thus, the point which is not included in the solution set for the inequality of the two-variable inequality shown in the graph is (-1,3).
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Answer:
Its (-1,3)
Step-by-step explanation:
Help Me On This!!
[tex] \\ \\ \\ [/tex]
Answer:
First Find the Radius of Cake by dividing 40/2
Now Find Area of the cake of Bottom
And Then Use the Formula to calculate volume of Circle
Cross Section Area=π Square
Bole of Circle 4/3π× radius cube
Answer:
24,727.5 cm³
Step-by-step explanation:
Information to keep in mind
r₁ = 20 cm (bottom layer)r₂ = 20/2 = 10 cm (middle layer)r₃ = 10/2 = 5 cm (top layer)h (of each layer) = 15 cmFormula of a cylinder
V = πr²hVolume (total)
V = πr₁²h + πr₂²h + πr₃²hV = πh (r₁² + r₂² + r₃²)V = 3.14 x 15 ([20]² + [10]² + [5]²)V = 47.1 (400 + 100 + 25)V = 47.1 (525)V = 24,727.5 cm³A caterpillar moves at a constant speed of 1/2 inches per second. Let x represent the time travel in seconds and y represent the distant travel in inches. I Really need help with this!
Step-by-step explanation:
Expression = 1/2x = y
Easy algebraic expression
~Done~
Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.
Answer:
the answer is in the picture
3. Find the probability that a point chosen randomly inside the rectangle is in each given shape. Round to
the nearest hundredth.
Answer:
20% probability
Step-by-step explanation:
First, we need to calculate the area of all the figures inside the rectangle.
Area of triangle= 1/2 BH
So, 3x2=(6)
Area of Square= L^2
3x3=(9)
Area of rectangle= LxW
=60.
60+9+6= 75.
75 is the total area.
Now, lets find the added area of only the triangle and square.
9+6= 15
The probability will be 15/75=
Convert into percent form
= 20%
Hope this helps and please mark me brainliest :)
Answer:
20% probability
Step-by-step explanation:
20% probability
20% probability
20% probability
20% probability
Which graph represents an exponential function?
Answer:
The first one
Step-by-step explanation:
As x increases, the value of y approaches infinity. As x decreases, the value of y approaches 0.
Hope it helps
you build a two-person tent, as shown. How many square feet of material is needed to make the tent, assuming the tent has a floor?
The material is needed to make the tent, assuming the tent has a floor would be equal to 36/√3.
What is a triangular prism?Connect three rectangles edge to edge. Now close their triangular mouths from both ends. That shape is called a triangular prism.
Let the tent width be w and the given Length is 6 feet.
[tex]tan\theta = \dfrac{opposite }{adjecent} \\\\tan60 = \dfrac{h}{w/2} \\\\\sqrt{3} = \dfrac{6}{w/2} \\\\\sqrt{3} = \dfrac{12}{w} \\\\w = \dfrac{12}{\sqrt{3} }[/tex]
[tex]sin60 = \dfrac{opposite }{hypotenuse} \\\\sin60 = \dfrac{6}{x}\\\\x = \dfrac{6}{\sqrt{3}/2 }\\\\x = \dfrac{12}{\sqrt{3} }[/tex]
The area of the front tent =
[tex]\dfrac{1}{2} \times base \times height\\\\\dfrac{1}{2} \times w\times h\\\\\\\dfrac{1}{2} \times 12/\sqrt{3} \times 6\\\\\dfrac{36}{\sqrt{3} }[/tex]
The area of the back tent is also the same.
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Ms. King wants to add a triangular deck in
the yard behind her house. Each side is to be
18 feet long. Find the length of the railing
that will fit completely around the deck.
Then find the area of the deck.
The length of the railing that will fit completely around the deck is 54 feet. The area of the triangular deck is approximately 164.25 square feet.
To find the length of the railing that will fit completely around the triangular deck, we need to calculate the perimeter of the triangle. The perimeter of a triangle is the sum of the lengths of all three sides.
Since each side of the triangular deck is 18 feet long, the perimeter (P) can be calculated as:
P = 18 feet + 18 feet + 18 feet
P = 54 feet
So, the length of the railing that will fit completely around the deck is 54 feet.
Next, let's find the area of the triangular deck. The area of a triangle can be calculated using the following formula:
Area (A) = (1/2) * base * height
Since the triangle is equilateral (all sides have the same length), any side can be considered as the base, and the height can be drawn from any vertex to the midpoint of the opposite side.
Let's consider one of the sides (18 feet) as the base. Now, to find the height, we can draw a perpendicular line from the vertex to the midpoint of the base, creating two right-angled triangles.
The height (h) of one right-angled triangle can be found using the Pythagorean theorem:
[tex]h^2 = (18 feet / 2)^2 + (18 feet)^2\\h^2 = 9 feet^2 + 324 feet^2\\h^2 = 333 feet^2\\[/tex]
h ≈ √333 feet
h ≈ 18.25 feet (rounded to two decimal places)
Now, we can find the area (A) of the triangular deck:
A = (1/2) * base * height
A = (1/2) * 18 feet * 18.25 feet
A ≈ 164.25 square feet (rounded to two decimal places)
So, the area of the triangular deck is approximately 164.25 square feet.
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Given: r(x) = x3 - 7, k(x) = 5 ln (2x) Find: (k ○ r) (x)
The value of (k ○ r) (x) from the given parameters in the task content is; 5 ln(2x³ -14)
What is (k ○ r) (x) from the task content?If follows from the task content that;
r(x) = x³ - 7 and k(x) = 5 ln (2x)It therefore follows that;
(k ○ r) (x) = k(r(x)) = 5 ln (2(x³-7)).
On this note, the expression which represents (k ○ r) (x) is; 5 ln(2x³ -14).
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Each member of a 5-member cross-country team runs a course. Their individual times are as follows:
2 hours 17 minutes
2 hours 48 minutes
1 hour 53 minutes
2 hours 19 minutes
1 hour 38 minutes
The team’s overall score is the average number of minutes it takes for its members to complete the course. What is this team’s score?
Step-by-step explanation:
the average is the sum of all data points divided by the number of data points (5).
2 hours 17 minutes
2 hours 48 minutes
1 hour 53 minutes
2 hours 19 minutes
1 hour 38 minutes
------------------------------
8 hours 175 minutes
175 minutes = 2 hours 55 minutes
so, we need to add this to the 8 hours and get
10 hours 55 minutes
this we need to divide by 5 for the average time
(10 hours 55 minutes) / 5 = 2 hours 11 minutes =
= 2×60 + 11 = 120 + 11 = 131 minutes.
so, their score is 131.
Let assume "M" is the midpoint of the segment AB. Find AM. AM= x+7 MB=2x A. 7 B. 14 C. 12 D. 9
The length of the line segment AM, which is a part of line segment AB when it is divided into two equal parts by Midpoint M is 14 units.
What is midpoint?For a line segment, mid-point is the middle point of it which divides the line segment into the two equal parts.
Let assume "M" is the midpoint of the segment AB. The value of has to be found out. It is given that,
[tex]AM= x+7 \\MB=2x[/tex]
In this line segment AB, M is midpoint. Thus, it divide the line segment into two equal parts of AM and MB. Thus,
[tex]x+7=2x\\2x-x=7\\x=7[/tex]
Put the value of x in AM,
[tex]AM=x+7\\AM=7+7\\AM=14\rm\; units[/tex]
Thus, the length of the line segment AM, which is a part of line segment AB when it is divided into two equal parts by Midpoint M is 14 units.
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combine the like terms to create an equivalent expression
-3z - z
Answer:
Coefficient 1.2. Exponent 1.3. Variable or Base
Step-by-step explanation:
Please Help!!!!
Using the slope formula, find the slope of the line through the given points. (12,0) and (2,-5)
Answer: The slope is 1/2
Step-by-step explanation:
Calculate the rise (change in y-component) divided by the run (change in x-component).
rise = 0 - (-5) = 5
run = 12 - 2 = 10
slope = 5/10 = 1/2
help me please what is 5y – 4n
Answer:
8
Step-by-step explanation:
y = 4 and n = 3
5y - 4n = 5(4) - 4(3)
= 12
Answer:
−4n+5y
Step-by-step explanation:
Solve cos 0 = 1 for 0, where 0º = 0 < 90°.
A) 60°
B) 0°
C)90
D)30
Answer:
to you in 1980 is the lol in lol1234in lol to you in the kids in the lero girl
Find the determinant of this matrix:
[tex]\left[\begin{array}{ccc}0&1\\1&0\end{array}\right][/tex]
Answer:
-1
Step-by-step explanation:
Formula to the determinant is:
[tex]\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] = ad-bc[/tex]
0(0)–1(1)
0-1
-1
Answer:
-1
Step-by-step explanation:
Formula: ad-bc
0(0) - 1(1)
0-1
-1
dan makes pizza. he puts 6 pepperoni on each pizza. he makes 7 pizzas.
how many pepperonis does he use?
if he has 6 pepperoni and he puts them on 7 pizzas
6x7=42
At a Harare swimming club, there are 35 girls and 25 boys. . In a Bulawayo swimming club, there are 22 girls and 14 boys. Which swimming club has the greatest proportion of girls? Explain how you worked out your answer.
Answer:
Bulawayo
Step-by-step explanation:
Proportions can be compared numerous ways. Here, we find it convenient to look at the difference between girls and boys relative to the number of boys.
__
HarareWith 35 girls and 25 boys, there are 10 more girls than boys. 10 is less than half of the number of boys, so the ratio of girls to boys is less than 1.5.
BulawayoWith 35 girls and 15 boys, there are 8 more girls than boys. 8 is more than half of the number of boys, so the ratio of girls to boys is more than 1.5.
Comparision"More than 1.5" is greater than "less than 1.5", so Bulawayo has the greatest proportion of girls.
_____
Additional comment
As a fraction of the total, the proportions of girls are ...
Harare: 35/(35+25) = 35/60 = 7/12 = 21/36
Bulawayo: 22/(22+14) = 22/36 . . . . . . greater than 21/36.
Larry owns an automobile dealership. Last week, he received a shipment of 160 automobiles.
He now has 938 automobiles for sale. How many automobiles did Larry have before the
shipment?
Larry had 778 automobiles before he had the shipment.
50 points please help
The ceiling of Stacy's living room is a square that is 22 ft long on each side. Stacy knows the diagonal of the ceiling from corner to corner must be longer than 22 ft, but she doesn't know how long it is.
Solve for the length of the diagonal of Stacy's ceiling in two ways:
(a) Using the Pythagorean Theorem.
(b) Using trigonometry.
Round each answer to the nearest whole number and make sure to show all your work. (Hint: the answers should be the same!)
#a
H²=P²+B²P and B are sides of square
H²=22²+22²H²=484+484H²=968H≈22√2ftH≈31ft#b
Apply cosines
cos45=22/H1/√2=22/HH=22√2ft=31ftThe speed of the jet Alyssa flew on from Boston to London was 480 mph. On her return flight, the speed of the jet was 600 mph with a tail wind. What was Alyssa's average speed on the round trip? Round your answer to one decimal place.
Answer:
533.3mph
Step-by-step explanation:
What is the surface area of this design?
400in
256in
640in
384in
Answer:
I don’t know
Step-by-step explanation:
BRAINLIEST +STARSS!!!
Question 1 (6 points) Retake question ✓ Saved
Anthony's sink is shaped like a half-sphere, and it has a volume of 512n cubic inches.
It is completely full of water, and he has two different cylindrical cups he can use to
scoop it out.
The blue cup has a diameter of 4 in. and a height of 8 in., and the green cup has a
diameter of 8 in. and a height of 8 in.. How many cupfuls of water will it take for him
to empty his sink using each cup?
In your answer, give the number of cupfuls it will take to empty the sink using each
cup, and then explain how you calculated it.
Answer:
The green would take 4 and the blue would take 16 times respectivly. I did it by finding the volumes of the cups in terms of pi, then dividing it by the volume of the sink.
Step-by-step explanation:
So the volume of the whole half sphere is 512pi.
Now we have to find the volumes of the cup.
Equation: [tex]\pi r^2h[/tex]
Blue cup:
[tex]\pi 2^2(8)\\\pi 4(8)\\\pi 32[/tex]
It would take 16 times to drain it completly.
Green cup:
[tex]\pi 4^2(8)\\\pi 16(8)\\\pi 128[/tex]
It would take 4 times to drain it completly.
Which of the following scenarios MUST represent two independent events?
P(blue) = 20%, P(green) = 60%, P(blue and green) = 13%
P(blue) = 40%, P(green) = 30%, P(blue and green) = 13%
P(blue) = 70%, P(green) = 30%, P(blue and green) = 21%
P(blue) = 80%, P(green) = 20%, P(blue and green) = 18%
Answer: C) P(blue) = 70%, P(green) = 30%, P(blue and green) = 21%
Step-by-step explanation:
Given probabilities P(A) AND P(B) are independent, the probability that both events to occur is given by:
P(A)∩P(B)
thus from the example, independent events will be:
P(blue)=70%, P(green)=30%, P(blue and green)=21%
Because:
P(blue)∩P(green)=0.7×0.3=0.21=21%