Among the given options, statement D, which says 'For every man who likes running, 7 men like playing golf,' is the correct statement based on the numbers provided.
Explanation:In order to determine which statement is correct, we would need to relate the numbers given in the question. So let's take a look.
We have 14 men who like playing golf and 2 men who like running. So for each man that likes running, there are 14/2 = 7 men who like playing golf.We have 6 women who like playing golf and 18 women who like running. So for each woman that likes running, there are 6/18 = 1/3 women who like playing golf. This does not match either statement A or B. So we can rule them out.With this comparison, we can conclude that the correct statement is D. For every man who likes running, 7 men like playing golf.
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The correct statement is option B: for every woman who likes running, 3 women like playing golf.
Explanation:In order to determine which statement is correct, we would need to relate the numbers given in the question. To determine which statement is correct, we need to compare the ratio of women who like running to women who like playing golf.
There are 18 women who like running and 6 women who like playing golf.
Therefore, the correct statement is option B, which states that for every woman who likes running, 3 women like playing golf.
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(20 points!) Delisa is designing a website that will be viewable on both computers and mobile devices, so the website as it is seen on a mobile device is proportional to the website as it is seen on a computer. The diagonal of Delisa's computer monitor is 21 inches, and the diagonal of Delisa's tablet is 9.7 inches.
If an image is 16 centimeters wide on the website when it's displayed on Delisa's computer, how wide should the image be on the tablet? Round to the nearest tenth of a millimeter, if necessary.
To determine the image width for Delisa's tablet, the width on the computer is divided by the ratio of the diagonals of the devices. The calculated width on the tablet is 7.4cm (74.0mm) when rounded to the nearest tenth of a millimeter.
Explanation:Delisa is tasked with ensuring that the website is proportional on both computers and mobile devices.
Given the diagonal of her computer monitor (21 inches) and tablet (9.7 inches), we know that the scale of the image on the tablet should be in the same ratio as the diagonals.
Since the image is 16 centimeters wide on the computer, we can calculate the width on the tablet using the ratio of the diagonals.
The ratio of the tablet size to the computer size is 9.7/21.
To find the width of the image on the tablet, we use the proportionality:
Width on computer / Width on tablet = Diagonal of computer / Diagonal of tablet
We can then solve for the unknown width on the tablet:
16cm / Width on tablet = 21 / 9.7
By cross-multiplying and solving the equation, we get:
Width on tablet = 16cm * (9.7 / 21)
Width on tablet = 7.390476 cm
Rounded to the nearest tenth of a millimeter, the width on the tablet will be approximately 7.4cm or 74.0mm.
Final answer:
The width of the image on the tablet is calculated using a proportion based on the diagonal screen sizes of the computer and tablet. After converting the image width from centimeters to inches, and using the ratio of the diagonals (9.7 inches to 21 inches), the width on the tablet is determined and then converted back to centimeters, rounded to the nearest tenth of a millimeter.
Explanation:
Delisa is designing a website and wants to ensure that an image displayed on different devices remains proportional. The diagonal of her computer monitor is 21 inches, and the diagonal of her tablet is 9.7 inches. When scaled down, the image width on the tablet should maintain the same proportion to the tablet's screen size as the image on the computer does to the computer's screen size.
To find the proportional width of the image on the tablet, we use the ratio of the diagonals of the two devices. The ratio is the diagonal of the tablet (9.7 inches) to the diagonal of the computer (21 inches), which simplifies to 9.7/21. Since we know the width of the image on the computer is 16 centimeters, we can set up a proportion:
(Width on tablet / 9.7 inches) = (16 cm / 21 inches)
To solve for the width on the tablet, we cross-multiply and divide:
Width on tablet = 16 cm × (9.7 inches / 21 inches)
Before solving, we need to convert 16 cm to inches, since the diagonal measurements are in inches. There are approximately 2.54 cm in an inch, so:
16 cm ÷ 2.54 cm/inch = 6.2992 inches
Now, we can calculate the width for the tablet:
Width on tablet = 6.2992 inches × (9.7 inches / 21 inches)
Performing the multiplication gives us the width on the tablet in inches. To convert back to centimeters, we multiply the result by 2.54 cm/inch. Finally, we round the answer to the nearest tenth of a millimeter.
I NEED HELP DUE TONIGHT!!
Answer:
(-2 , -2)
Step-by-step explanation:
Solution of the system of equations is where the lines intersect
So they intersect at x = - 2 and y = -2
Answer (-2 , -2)
Answer:
(-2, -2) ⇒ x = -2 and y = -2Step-by-step explanation:
The solution of the system of equations is the point of the intersection of a lines.
Of the 300 students in a home room, 120 play a school sport. What percent of students play a school sport?
Equation:
Solution:
Answer:
40%
Step-by-step explanation:
120/300 is 0.4 convert to percentage it is 40%
Use the net to find the approximate surface area of the cylinder to the nearest square meter.
Radius=5
Height=9
Answer:
S.A. = 440 m²Step-by-step explanation:
Look at the picture.
We have the rectangle 2πr × h and two circles.
Therefore the formula of a Surface Area is:
[tex]S.A.=2\pi rh+2\pi r^2[/tex]
We have r = 5m and h = 9m. Substitute:
[tex]S.A.=2\pi(5)(9)+2\pi(5^2)=90\pi+50\pi=140\pi\ m^2[/tex]
[tex]\pi\approx3.14\to S.A.\approx(140)(3.14)\approx440\ m^2[/tex]
Final answer:
To calculate the surface area of the cylinder, use the formula 2π(radius)(height) + 2π(radius)², with radius = 5m and height = 9m. The answer is approximately 440 square meters when rounded to the nearest square meter.
Explanation:
To find the approximate surface area of the cylinder, we can use the formula: Surface area = 2π(radius)(height) + 2π(radius)². Given a radius of 5 meters and a height of 9 meters, we can plug these values into our formula.
The area of the two circular bases is 2π(radius)² = 2π(5)² = 2π(25) = 50π square meters.
The area of the side (the rectangular part when the cylinder is unrolled) is 2π(radius)(height) = 2π(5)(9) = 90π square meters.
Adding both of these areas together gives us the total surface area:
50π + 90π = 140π square meters.
Using 3.14159 as an approximation for π, we get 140π = 140(3.14159) ≈ 439.8226 square meters, which can be rounded to the nearest square meter as 440 square meters.
Write a fraction that is equivalent to 8
8/1 or 16/2 or 24/3 or 32/4 or 40/5
I got these wrong help needed plz !!
tiene que sacar la raiz nena
Answer: π and √5
Step-by-step explanation:
π is irrational
√5 is irrational
0.3333 is rational (repeating decimal)
√-4 is imaginary (equal to 2i) so is not a Real Number
1/9 is rational (repeating decimal) equal to 0.11111
Translate this sentence into an equation. The product of Mabel's score and 6 is 90 . Use the variable m to represent Mabel's score.
product is the answer to a multiplication problem mx6=90
The sentence 'The product of Mabel's score and 6 is 90' translates into the equation 'm * 6 = 90' in mathematics, where m represents Mabel's score.
Explanation:The sentence provided can be translated into an equation. In mathematics, the phrase 'the product of' means to multiply. Here, Mabel's score is represented by the variable m. The 'product of Mabel's score and 6' is the same as saying 'm multiplied by 6'. This is said to be equal to 90. Therefore, the equation that represents this sentence is m * 6 = 90.
To translate the sentence 'The product of Mabel's score and 6 is 90' into an equation using the variable m to represent Mabel's score, we can write:
6m = 90
This equation states that the product of Mabel's score (m) and 6 is equal to 90.
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Find the area of triangle AOB
Answer:
9√3 unit^2.
Step-by-step explanation:
The area = 1/2 6^2 sin 60
= 1/2 * 36 * √3/2
= 9√3
The area is [tex]9\sqrt{3}un^2.[/tex]
Note that: triangle AOB is an equilateral triangle because:
OA = OB (both are radius)
So ∠OAB = ∠OBA
Given that ∠AOB=60 degree.
The sum of three angles of a triangle is 180 degrees.
So,
∠OAB + ∠OBA + ∠AOB = 180
∠OAB + ∠OBA + 60 = 180
∠OAB + ∠OBA = 120
∠OAB + ∠OAB = 120
2∠OAB = 120
∠OAB = 60
It means ∠OAB = ∠OBA =60.
Since all the angles of these triangle is 60 degree, so triangle AOB is an equilateral triangle.
Given: side length = a = 6.
The area of the triangle is: [tex]\frac{\sqrt{3}}{4}a^{2}=\frac{\sqrt{3}}{4}\left(6^{2}\right)=\frac{\sqrt{3}}{4}\left(36\right)=9\sqrt{3}[/tex]
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help on 8, 9, and 12?
Answer:
8.) x = 15
Step-by-step explanation:
8.) divide 40 by 2 = 20 to only find half the triangle..
20^2 + b^2 = 25^2
400 + b^2 = 625
-400 -400
√b^2 = √225
b = 15
find the slope of the line shown
Answer:
The slope m = -1Step-by-step explanation:
Look at the picture.
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the graph we have the points (-5, 2) and (-3, 0). Substitute:
[tex]m=\dfrac{0-2}{-3-(-5)}=\dfrac{-2}{2}=-1[/tex]
Find the exact circumference of a circle with the given radius. x/2 miles C =
¼x miles x miles 2x miles
Answer:
[tex]\pi[/tex] x miles
Step-by-step explanation:
Circumference, C= 2[tex]\pi r[/tex]
r=radius = x/2
C= 2×[tex]\pi[/tex] × x/2
C=[tex]\pi[/tex] x
Answer:
πx miles
Step-by-step explanation:
Given in the question,
radius of a circle = x/2 miles
To find circumference of a circle we will use following formula
2π * r
where π is constant = 3.14
r is radius of circle
Plug values in the formula
2(3.14)(x/2)
2 will cancel out
So we are left with 3.14x miles or πx milesQUICKKK
What is the image of (-1,-6) after a reflection over the x-axis ?
Answer:
I don't actually have an image but i think the coordinate point is (-6,1)
I hope this helps
what fraction is equal .20%
Answer: 1/5
Step-by-step explanation:
Answer:
1/500
Step-by-step explanation:
if you add a %, multiply the number by 100 (or move to the right 2 decimal places)
if you remove the %, divide the number by 100 (or move to the left 2 decimal places)
example .5 to a percent is .5(100) = 50%
to make this a fraction, first change the number to a decimal, then divide by 100, or multiply by 1/100.
.20 is the fractional number of two tenths or 2/10%.
(2/10)(1/100) = 2 / 1000 this can reduce to 1/500
Which ordered pair represents a solution to f(x)=-5 if f(-1)?
A. (-1, -6)
B. (-4, -1)
C. (-1, -5)
D. (-6, -1)
Answer:
C
Step-by-step explanation:
Given
f(x) = - 5
This will result in a value of - 5 for any value of x, hence
f( - 1) = - 5
Thus (- 1, - 5) ← represents a solution
Can you help me find the answer for number 2
Here is the work along with the answer to the problem.
3 A classroom is arranged with 8 seats in the front row, 10 seats in the middle row, and 12 seats in the back row. The teacher randomly assigns seats to students as they enter the classroom. What is the probability that the first student who enters the classroom will be assigned a seat in the front row? 2 5 A 2 3 B 4 11 4 15
Answer:
0.266
Step-by-step explanation:
Total No of seats in class = 8+10+12 = 30
probability that first student will be assigned first row will be: 8/30 = 0.266
because there are 8 front row seats and total seats are 30.
The probability that the first student who enters the classroom will be assigned a seat in the front row is; Option D; 4/15
We are told;
Number of front row seats = 8 seats
Number of middle row seats = 10 seats
Number of back row seats = 12 seats
Thus;
Total number of seats in classroom = 8 + 10 + 12
>> 30 seats
Now, we want to find the probability that the first student who enters the classroom will be assigned a seat in the front row.
Thus;
P(1st student sits in front row) = 8/30
This can be reduced to get;
P(1st student sits in front row) = 4/15
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The button on Monica's shirt has a radius of 1 centimeter. What is the button's diameter?
Final answer:
To find the diameter of Monica's shirt button with a radius of 1 centimeter, we multiply the radius by 2, resulting in a diameter of 2 centimeters.
Explanation:
The question asks to determine the diameter of a button given its radius. The radius of Monica's shirt button is 1 centimeter. In geometry, the diameter of a circle is defined as twice the radius. Therefore, to find the button's diameter, you simply multiply the radius by 2.
Formula: Diameter = 2 × Radius
Calculation: Diameter = 2 × 1 cm = 2 cm.
Thus, the diameter of Monica's shirt button is 2 centimeters
Angelina drew a net of a container in the shape of a triangular pyramid. The base is an isosceles triangle with sides measuring 24 cm, 20 cm, and 20 cm.Which statement about the area of the pyramid is true?
A. The base cm is 384cm
B.The Lateral area is 692cm
C.The surface area is 740cm
D. The area of each congruent face is 264cm
Answer:
Option B. The Lateral area is 692 cm2
Step-by-step explanation:
Verify each statement
case A) The area of the base is 384 cm2
The statement is False
Because
The area of the base is
[tex]B=\frac{1}{2}(24)(16)=192\ cm^{2}[/tex]
case B) The Lateral area is 692 cm2
The statement is True
Because
we know that
The lateral area is equal to the area of its three triangular lateral faces
so
[tex]LA=2(\frac{1}{2}(20)(22))+ \frac{1}{2}(24)(21)=692\ cm^{2}[/tex]
case C) The surface area is 740 cm2
The statement is False
we know that
The surface area is equal to the lateral area plus the area of the base
so
[tex]SA=LA+B[/tex]
we have
[tex]LA=692\ cm^{2}[/tex]
[tex]B=192\ cm^{2}[/tex]
substitute
[tex]SA=692+192=884\ cm^{2}[/tex]
case D) The area of each congruent face is 264 cm2
The statement is False
The area of each congruent face is equal to
[tex]A=\frac{1}{2}(20)(22)=220\ cm^{2}[/tex]
Ray Company received a shipment of 25 cartons of stereos. In each carton were five stereos. Each stereo sells for $80 and has a $30 cost to Ray. Assuming Ray sells all the stereos, what would the company's profit be?
A. $2,560 B. $560 C. $6,250 D. $625
Answer:
C ($6,250)
Step-by-step explanation:
25 cartons with 5 stereos per carton=125 stereos total
profit for one stereo=80-30=50
125*50= 6250
After selling all the stereos, the company's profit will be $ 6250.
What is Profit?Profit is considered as the gain amount from any business activity. Whenever a shopkeeper sells a product, his motive is to gain some benefit from the buyer in the name of profit.
Here, Ray have 25 cartons with 5 stereos per carton
So total Ray have, 25 X5 = 125 stereos
profit on one stereo = 80 - 30 = $50
Total profit on 125 stereos = 125*50= $ 6250
Thus, after selling all the stereos, the company's profit will be $ 6250.
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How to do multiplication
To do multiplication is to take (usually) two sets on numbers and put them together to make them one.
For example: let’s say you want to multiply 5 and 3
This means you do 5➕5➕5
Your answer would be 15.
5✖️3= 15
Now let’s say you want to multiply a two digit number
10✖️12
This means you add 10 together 12 times.
10. First do 0✖️2 which is 0 so put it at the bottom. Then 1✖️2 which is 2
x 12. Then do 1✖️0 and 1✖️1
——————
20
➕11x. You put a place holder in this case (x) which equals 0
———————
120
Then you are left with your answer
Hope this helps! :3
Multiplication is like adding but with less work.
For example 9x9 is equal to
9+9+9+9+9+9+9+9+9.
Another example would be 15x3
which is equal to
15+15+15
Or
3+3+3+3+3+3+3+3+3+3+3+3+3+3+3z
prove that there are real numbers a and b such that square root of a + square root of b equals square root of a + b
Answer:
Lets firts mention that the rule presented in the question does not apply for all real numbers
But, we can see that in some cases it might be true.
Let
a = 1
b = 0
√1 + √0 = 1 + 0 = 1
Likewise,
√(1 + 0) = √(1) = 1
And we see that the result is the same.
PLEASE HELP ME I WILL MARK YOU BRAINLIEST!!!!!
Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil. Jason decides to test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. What is the probability that the land has oil and the test predicts it?
A. 0.09
B. 0.11
C. 0.36
D. 0.44
Answer: A. 0.09
Step-by-step explanation:
So if you subtract 45% from 80% and thats when you get 0.09
You and another person are sunbathing on the beach near a lifeguard station. The other person chooses a spot that is the same distance from the shoreline but 11 feet closer to the station than you. The angles of elevation from you and the other person to the top of the lifeguard station are 36 degrees and 46 degrees, respectively. Estimate the height of the lifeguard station to the nearest tenth of a foot.
Answer: 26.8 feet
Step-by-step explanation:
In the figure attached you can see two right triangles triangle ABD and a triangle ACD.
You are located at point B and the other person at point C.
The approximate height of the lifeguard station is x.
Keep on mind that:
[tex]tan\alpha=\frac{opposite}{adjacent}[/tex]
Therefore:
For the triangle ABD:
[tex]tan(36\°)=\frac{x}{DC+11}[/tex] [EQUATION 1]
For the triangle ACD:
[tex]tan(46\°)=\frac{x}{DC}[/tex] [EQUATION 2]
Solve from DC from [EQUATION 2]:
[tex]DC=\frac{x}{tan(46\°)}[/tex]
Substitute into [EQUATION 1] and solve for x:
[tex]tan(36\°)=\frac{x}{(\frac{x}{tan(46\°)}+11)}\\tan(36\°)(\frac{x}{tan(46\°)}+11)=x\\11*tan(36\°)=x-\frac{xtan(36\°)}{tan(46\°)}\\7.991=0.298x[/tex]
[tex]x=26.81ft[/tex]≈26.8ft
What is the measure of angle 4
Answer:
35 degress
Step-by-step explanation:
Answer: 108 degress
Step-by-step explanation:
State 1 positive and 1 negative coterminal angle for 1250 degrees
Answer:
[tex]\large\boxed{530^o\ and\ -190^o}[/tex]
Step-by-step explanation:
[tex]\text{Coterminal angle with}\ \alpha:\\\\\alpha+360^o\ and\ \alpha-360^o.\\\\\text{Firs\ step}\\\\1250^o:360^o=3\ and\ 170^o\ rest\\\\1250^o=170^o\\\\170^o+360^o=530^o\\\\170^o-360^o=-190^o[/tex]
In the Stoneridge apartment complex, 35% of apartments have one bedroom. If there are 49 one-bedroom apartments, what is the total number of apartments at Stoneridge?
Answer:
140
Step-by-step explanation:
35/ 100 = 49/?
49 times 100 equals 4900
4900/35 is 140
Answer:71 Apartments
Step-by-step explanation: 35/49=x/100
49x=3500
x=71
How many 1 3 ounce servings are available in 6 ounces? A) 10 servings B) 14 servings C) 18 servings D) 24 servings
Answer:
Step-by-step explanation:
the answer is 18
A rectangular prism has a height of 8 meters and a volume of 640cubic meters. What is the area of the base of the prism?
Find the volume of the cylinder. Use 3.14 for (π Pi) 34 m on top and 27 m down on the right.
Is 34 the diameter or radius?
What is the sum of the geometric sequence 1,3,9.. if there are 12 terms?
Answer:
The sum of terms 12 the geometric sequence 1,3,9... = 265720
Step-by-step explanation:
Formula:-
Sₙ = a₁(1 - rⁿ)/(1 - r)
Where Sₙ - sum of n terms in the GP
a - First term of GP
r - Common ratio
n - Number
It is given the geometric sequence 1,3,9....
To find the sum of 12 terms
Here a = 1, r = 3 and n = 12
Sₙ = a₁(1 - rⁿ)/(1 - r) = 1(1 - 3¹²)/(1- 3) = 265720
Answer:
The sum of the 12 terms = 265720
Step-by-step explanation:
* Lets study the geometric sequence rule
- If a1 = a , a2 = ar , a3 = ar² , a4 = ar³ , .........................
∴ an = a[(r)^(n-1)]
- Where a is the first term and r is the common ratio and
n is the position of the term in the sequence
- The rule of the sum of some terms is Sn = [a(1 - r^n)]/(1 - r)
- Where n is the number of terms we want to add
* Lets check our terms in the sequence
- The terms are 1 , 3 , 9 , ..........
- To find the common ratio divide the 2nd term by 1st term
∵ the second term is 3 and the first term is 1
∴ 3/1 = 3
∴ The common ratio is 3
∵ n = 12 and a = 1
* Lets substitute the values of a , r , n in the rule of the sum to
find the sum of the 12 terms
∴ S12 = [1(1 - 3^12)]/(1 - 3) = (1 - 3^12)/-2 = 265720
* The sum of the 12 terms = 265720