Answer:
Actual dimension of the field = 42 ft × 21 ft
Equation : [tex]y=\frac{7}{2}x[/tex]
Step-by-step explanation:
Scale for the drawing of a rectangular playing field is,
2 inches = 7 feet
Or 1 inch = 3.5 feet
If length of the playing field on drawing = 12 in
Then actual length of the field = 12×3.5 = 42 feet
And width on the drawing = 6 inches
Therefore, actual width of the field = 6×3.5 = 21 feet
If 'x' is the dimension of a scale drawing and 'y' be the corresponding dimension of the actual field,
[tex]\frac{x}{y}=\frac{2}{7}[/tex]
[tex]y=\frac{7}{2}x[/tex]
Peter drove at a constant speed and covered 576 miles in 12 hours. How many miles would Peter cover in 14
hours?
Answer:
672 miles
Step-by-step explanation:
576/12= 48
every hour he drove 48 miles
48 x 14 = 672 miles
Which property is illustrated by the statement 6 • 4 = 4 • 6? *
Answer:
Commutative Property of Multiplication
Step-by-step explanation:
A committee consisting of 3 boys and 4 girls is to be formed from a group of 10 boys and 12 girls. How many different committees can be formed from the group?
Answer:
3 different committees
Step-by-step explanation:
after 3 committees are formed there will be one extra boy however without any more girls another committee cannot be formed.hope this helps!!!
Number of committees of 3 boys and 4 girls formed from the group of 10 boys and 12 girls = 59400
What is combination?The combination is defined as “An arrangement of objects where the order in which the objects are selected does not matter.” The combination means “Selection of things”, where the order of things has no importance.
Number of combinations of taking x items out of total n items
ⁿCₓ = n!/x!(n-x)!
Given,
Number of girls in group = 12
Number of boys in group = 10
Selecting 3 boys from the group
= ¹⁰C₃
= ¹⁰C₃
= 10!/3!(10 - 3)!
= 10!/3!×7!
= (10 × 9 × 8 × 7!)/(3 × 2 × 1 × 7!)
= 10 × 3 × 4
= 120
Selecting 4 girls from group
= ¹²C₄
= 12!/4!(12 - 4)!
= 12!/4!×8!
= (12 × 11 × 10 × 9 × 8!)/(4 × 3 × 2 × 1 × 8!)
= 3 × 11 × 5 × 3
= 495
Total number of committees of 3 boys and 4 girls formed from the group
= ¹⁰C₃ × ¹²C₄
= 120 × 495
= 59400
Hence, 59400 different committees can be formed from the group.
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Plzzzz answer
Quick I’m almost at a time
Answer:
200 would be the answer! :)
Step-by-step explanation:
hope this helped!
Answer:200
Step-by-step explanation:
Its higher than a 5 which turns it into a 10
In what 3 forms can probability be written?
Answer:
unlikely,likely,and certain
Step-by-step explanation:
The probability of an event can only be between 0 and 1 and can also be written as a percentage. The probability of event A is often written as P ( A ) P(A) P(A)P, left parenthesis, A, right parenthesis.Probability. Probability is the likelihood or chance of an event occurring. For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½ .Examples of Probability. ... Probability can be expressed in a variety of ways including a mathematically formal way such as using percentages. It can also be expressed using vocabulary such as "unlikely," "likely," "certain," or "possible." Explore several probability examples.And an event is one or more outcomes of an experiment. Probability formula is the ratio of number of favorable outcomes to the total number of possible outcomes. Measures the likelihood of an event in the following way: - If P(A) > P(B) then event A is more likely to occur than event B.
Hope that was helpful.Thank you!!!
Зх(х2 + 4)?
What’s the answer ?
Answer:
3x^3 + 12x
Step-by-step explanation:
Use the distributive property and multiply 3x across all the terms inside the parentheses, and you'll end up with 3x^3 + 12x.
Hope this helps!
Zelda has 8 rabbits with which to start an animal farm. If the rabbit population doubles each month, in how many months will the rabbit population be 5,800?
Answer:
9.5 months
Step-by-step explanation:
We would be using the expression
y = abⁿ
Where
a = starting number = 8 rabbits
b = rate of change = the number of rabbits doubles = 2
n = number of time intervals that has passed = unknown = number of months
y = rabbit population = 5800
y = abⁿ
5800 = 8 × 2ⁿ
Divide both sides by 8
5800 ÷ 8 = 2ⁿ
725 = 2ⁿ
n = 9.5 months.
Therefore, the number of months in which the rabbit population would reach 5,800 is 9.5 months
x + 23 2x + 4 what’s the value of x
X+23=2X+4
X-2X=4-23
-x=-19
X=19
You didn’t not show what is the relation between the expressions so I assumed it’s equall
Factor -6x^2+26x+20 completely.
P.s. Need answers soon!
Answer:
-2(3x+2)(x-5)
Step-by-step explanation:
Which set of side lengths is a Pythagorean triple?
M
1, 3, 10
4,5, 9
9, 40, 41
16, 30, 44
Answer:
9, 40, 41.
Step-by-step explanation:
We can derive this by simply analyzing all of the answer choices and eliminating those that do not work using the Pythagorean formula: a²+b²=c²
1²+3²≠10²
4²+5²≠9²
9²+40²= 41²
16²+30²≠44²
When these are plugged into the calculator, we can see that only answer 3 satisfies the formula, making it a Pythagorean triple.
Answer:
9,40,41 is a Pythagorean triple
Step-by-step explanation:
Pythagorean triples are integers that're all positive and they don't have a common divisor larger than 1
There are 12 red marbles and 8 green marbles in a bag. What is the probability of selecting a red
marble, not replacing it, and then selecting a green marble from the bag?
Answer:
The probability of selecting a red marble, not replacing it, and then selecting a green marble from the bag is 24/95
Step-by-step explanation:
Number of red marbles = 12
Number of green marbles = 8
Total number of marbles = 12+8 = 20
Probability of selecting red marble =[tex]\frac{12}{20}[/tex]
Since it is the case of no replacement
Remaining marbles = 20-1 = 19
Number of red marbles = 12-1=11
Number of green marbles = 8
Probability of selecting green marble =[tex]\frac{8}{19}[/tex]
So, the probability of selecting a red marble, not replacing it, and then selecting a green marble from the bag =[tex]\frac{12}{20} \times \frac{8}{19}=\frac{24}{95}[/tex]
Hence the probability of selecting a red marble, not replacing it, and then selecting a green marble from the bag is 24/95
2x/8 +5=3
what is x equal to
Answer:
-8
Step-by-step explanation:
2x/8 + 5 = 3
x/4 = -2
x = -8
Evaluate the expression when x=-7.
x² + 4x-5
Answer:
72
Step-by-step explanation:
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.
Answer:
The volume of the sphere is 14m³
Step-by-step explanation:
Given
Volume of the cylinder = [tex]21m^3[/tex]
Required
Volume of the sphere
Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;
Using the volume formula of a cylinder
The formula goes thus
[tex]V = \pi r^2h[/tex]
Substitute 21 for V; this gives
[tex]21 = \pi r^2h[/tex]
Divide both sides by h
[tex]\frac{21}{h} = \frac{\pi r^2h}{h}[/tex]
[tex]\frac{21}{h} = \pi r^2[/tex]
The next step is to solve for the volume of the sphere using the following formula;
[tex]V = \frac{4}{3}\pi r^3[/tex]
Divide both sides by r
[tex]\frac{V}{r} = \frac{4}{3r}\pi r^3[/tex]
Expand Expression
[tex]\frac{V}{r} = \frac{4}{3}\pi r^2[/tex]
Substitute [tex]\frac{21}{h} = \pi r^2[/tex]
[tex]\frac{V}{r} = \frac{4}{3} * \frac{21}{h}[/tex]
[tex]\frac{V}{r} = \frac{84}{3h}[/tex]
[tex]\frac{V}{r} = \frac{28}{h}[/tex]
Multiply both sided by r
[tex]r * \frac{V}{r} = \frac{28}{h} * r[/tex]
[tex]V = \frac{28r}{h}[/tex] ------ equation 1
From the question, we were given that the height of the cylinder and the sphere have equal value;
This implies that the height of the cylinder equals the diameter of the sphere. In other words
[tex]h = D[/tex] , where D represents diameter of the sphere
Recall that [tex]D = 2r[/tex]
So, [tex]h = D = 2r[/tex]
[tex]h = 2r[/tex]
Substitute 2r for h in equation 1
[tex]V = \frac{28r}{2r}[/tex]
[tex]V = \frac{28}{2}[/tex]
[tex]V = 14[/tex]
Hence, the volume of the sphere is 14m³
Answer:
14 m³Step-by-step explanation:
We have:
[tex]Cylinder:\\\R-\text{radius}\\H=2R-\text{height}\\V_C-\text{volume};\ V_C=21m^3\\\\\text{the formula of a volume of a cylinder:}\ V=\pi R^2H\\\\V_C=\pi R^2(2R)=2\pi R^3[/tex]
[tex]Sphere:\\\R-\text{radius}\\V_S-\text{volume}\\\\\text{the formula of a volume of a sphere:}\ V=\dfrac{4}{3}\pi R^3[/tex]
[tex]Let's\ transform\ V_C:\\\\2\pi R^3=21\qquad\text{divide both sides by 2}\\\\\pi R^3=\dfrac{21}{2}\qquad\text{multiply both sides by}\ \dfrac{4}{3}\\\\\dfrac{4}{3}\pi R^3=\dfrac{21}{2}\cdot\dfrac{4}{3}\to V_S=\dfrac{(21:3)\cdot(4:2)}{(2:2)\cdot(3:3)}=\dfrac{7\cdot2}{1\cdot1}=\dfrac{14}{1}=14\ (m^3)[/tex]
Please answer this question
5. yes
6. yes
7. no
8. no
A map has a scale 1 inches : 10 miles. Use the given map distance to find the actual distance.
1. 3 in 2. 7.5 in 3. 1 ft
Answer:
1) [tex]x = 30\,in[/tex], 2) [tex]x = 75\,mi[/tex], 3) [tex]x = 31\,mi[/tex]
Step-by-step explanation:
The actual distances are computed below:
1) The actual distance is:
[tex]x = \frac{3\,in}{1\,in}\times 10\,mi[/tex]
[tex]x = 30\,in[/tex]
2) The actual distance is:
[tex]x = \frac{7.5\,in}{1\,in}\times 10\,mi[/tex]
[tex]x = 75\,mi[/tex]
3) The actual distance is:
[tex]x = \frac{3.1\,in}{1\,in}\times 10\,mi[/tex]
[tex]x = 31\,mi[/tex]
To find the actual distance, multiply the map distance by the scale factor. The scale factor is the ratio of the actual distance to the map distance.
Explanation:To find the actual distance using the given map scale, you need to multiply the map distance by the scale factor. The scale factor is the ratio of the actual distance to the map distance. In this case, the scale factor is 10 miles per inch.
For 3 inches, the actual distance would be 3 inches * 10 miles/inch = 30 miles.For 7.5 inches, the actual distance would be 7.5 inches * 10 miles/inch = 75 miles.For 1 ft, you need to convert feet to inches. There are 12 inches in a foot, so 1 foot = 12 inches. The actual distance would be 12 inches * 10 miles/inch = 120 miles.Learn more about Finding actual distance using a map scale here:https://brainly.com/question/34970123
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135% of what number is 81
Answer:
60
Step-by-step explanation:
Of means multiply and is means equals
Let n be the unknown number
135% * n = 81
Change to decimal form
1.35 n = 81
Divide each side by 1.35
1.35n/1.35 = 81/1.35
n =60
a game show host offers to give you one penny on the first day, 2 pennies on the second day, 4 pennies the third day, and so on for the next 25 days.
Is this geometric or arithmetic?
How much money will you have at the end of the 25 days?
Answer:
It's geometric
Step-by-step explanation:
Geometric series are multiplied to get the next number in the sequence
arithmetic are added to get the next number in the sequence
You are running late, but still have a chance to make it to that important meeting on time. It normally takes 24 seconds to get from the first floor to your normal third floor, but you have to get to the fourteenth floor. You have 3 minutes to get there. Will you get there on time? How many minutes early or late will you be? (Round to the nearest hundredth if necessary.)
Answer:
3+11+ 14
24x11=264
264sec=4.4 minutes
youll be late by 1min 40 sec
Given that it takes 12 seconds to reach each floor, you will reach the 14th floor in 156 seconds. Compared to the total time available (180 seconds), you will be 24 seconds (or 0.4 minutes) early to your meeting.
Explanation:To solve this problem, we need to determine how long it takes for you to reach each floor. If it takes you 24 seconds to reach the 3rd floor from the 1st floor, we can infer that it takes you 12 seconds to reach each floor (24 seconds/2 floors). Therefore, to reach the 14th floor from the first, it would take 12 seconds times 13 floors which equals 156 seconds.
Then, we need to convert the time given to get to the meeting, which is 3 minutes, into seconds (3 minutes * 60 seconds/minute = 180 seconds).
Subtract the required time to reach the 14th floor (156 seconds) from the total time available (180 seconds), and you will be 24 seconds early for your meeting (or 0.4 minutes, rounding to the nearest hundredth, if the time is converted back into minutes).
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Multiply: 6√x * 4√y^3
Rewrite the expression using rational exponents
with a common denominator.
Answer: it's option b.
Step-by-step explanation:
[tex]x^{\frac{2}{12} } y^{\frac{8}{12}}[/tex] is the expression using rational exponents with a common denominator of [tex]\sqrt[6]{x} \sqrt[4]{y^{3} }[/tex]
What is Number system?A number system is defined as a system of writing to express numbers.
The given expression is [tex]\sqrt[6]{x} \sqrt[4]{y^{3} }[/tex]
The square root is nothing but power of 1/2
So we can write these as
[tex]\sqrt[6]{x} \sqrt[4]{y^{3} }[/tex]
[tex]x^{\frac{1}{6} } y^{3}^{\frac{1}{4} }[/tex]
As we need to write the exponents as common denominator.
[tex]x^{\frac{2}{12} } y^{\frac{8}{12}}[/tex]
Hence, [tex]x^{\frac{2}{12} } y^{\frac{8}{12}}[/tex] is the expression using rational exponents with a common denominator of [tex]\sqrt[6]{x} \sqrt[4]{y^{3} }[/tex]
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i put the kitttycakes in the oven at 1:10 and they were done at 1:40.How long did the kittycakes bake?
Answer:
30 min
Step-by-step explanation:
Sebastian has 3 whole apples. He cuts each whole into fourths. Sebastian gives away 4 4 of the apples. Which is the number of fourths Sebastian has left as a fraction?
Answer: He now has eight-fourths of the apples left.
Step-by-step explanation: If Sebastian has three whole apples and now decides to cut each apple into fourths, that is four parts, then the total number of fourths he has left can be derived as follows;
1 apple = 4 parts
3 apples = 3 x (4 parts)
3 apples = 12 parts
If Sebastian gives away four of the apples, we can now express this as;
Remainder = 12 parts - 4 parts
Remainder = 8 parts
What Sebastian had was fourths and no longer whole apples, hence from our calculation, Sebastian has eight-fourths (8 quarters, or 8 fourths) left as a fraction of his apples.
Final answer:
Sebastian cuts 3 apples into fourths, giving him 12 pieces. He gives away 4 pieces, leaving him with 8 fourths of an apple. The number of fourths left expressed as a fraction is 8/4.
Explanation:
Sebastian starts with 3 whole apples and cuts each into fourths, resulting in 3 x 4 = 12 pieces. After giving away 4 fourths of the apples, we subtract 4 from the original 12 pieces to answer the question: Which is the number of fourths Sebastian has left as a fraction?
To find out how many fourths are left, we compute 12 - 4 = 8 fourths. This can be simplified to the fraction 8/4, which equals 2 whole apples. However, since the question asks for the answer in the form of a fraction representing the fourths, we should write our final answer as 8/4.
If we were to simplify the fraction to show the number of whole apples instead of fourths, we would say that Sebastian has 2 whole apples left.
Y’all better answer my question please
Which one is keisha’s mistake?
Answer:
D
Step-by-step explanation:
According to the assignments she didnt make no mistake every thing is correct! :))
9 passengers in 3 cars = passengers per car
Which statements best describe the box plot or histogram? Check all that apply.
Using the information in the box plot, the total number of students surveyed is 70 - 25, or 45.
Using the information in the histogram, the total number of students surveyed is 4 + 4 + 6 + 4 + 2 = 20.
Referring to the box plot, the median of the data is 50.
Referring to the histogram, the median of the data is 49.5.
The range of the data can be found using the box plot.
- The range of the data can be found using the histogram
Answer:
2,3 and 5
Step-by-step explanation:
Answer:
B, C, and E. or 2, 3 and 5.
Step-by-step explanation:
I got it correct on edge 2021.
How many solutions can be found for the linear equation?
4(x + 5) - 5 = (4x + 1)
no solutions
one solution
two solutions
infinitely many solutions
Answer:
no solution
Step-by-step explanation:
4x + 20 - 5 = 4x + 1
= 20 - 5 = 1 (The 4x cancels each other out)
= 15 ≠ 1
15 is not equal to 1, so the linear equation has no solution
A rectangular baking pan is 12 inches long, 6 inches wide, and 2.5 inches tall. If 1 cubic inch of cake mix is approximately 0.55 ounces, how much cake mix can the pan hold?
Answer:
Amount of cake mix baking pan can hold is 99 ounces
Step-by-step explanation:
Here we have the size of the baking pan is given by the following relation
Volume of baking pan = Length × Width × Height
Volume of baking pan = 12 in. × 6 in. × 2.5 in. = 180 in.³
Mass of 1 cubic inch of cake mix = 0.55 ounces, therefore, the mass of cake mix that the 180 in.³ baking pan can hold is found as follows;
Amount of cake mix baking pan can hold = Volume of baking pan × Mass per cubic inch of cake mix
Amount of cake mix baking pan can hold = 180 in.³ × 0.55 ounce/in.³ = 99 ounces.
Si n es un número entero de dos dígitos, en que el dígito de las decenas es X
y el de las unidades es Y, el antecesor de n es:
Answer:
((X*10)+Y)-1
Step-by-step explanation:
1244.416666666 rounded to the nearest hundred