Answer:
5:6
Step-by-step explanation:
The entire class is 11/11.
Girls: 5/11 of the class.
Boys: 11/11 - 5/11 = 6/11
Ratio of girls to boys:
5/11 / 6/11 = 5/11 × 11/6 = 5/6
Answer: 5:6
A rectangular wall measures 15 ft along the floor. The area of
the wall is 180 ft². What is the height of the wall?
Answer:
The height is 12ft
Step-by-step explanation:
In order to find the height, you have to divide the area by the width which is 180ft divided by 15ft, you get 12ft, and if you double-check 15 x 12 gets you 180, which is the area.
30 points for this one man like that is a lot of points
Answer:
it is a subset where you are going to make sets from that one set
Rewrite as a simplified fraction.
Answer: 23/100
Step-by-step explanation: You would automatically just round it to .23. With any fraction you put it over 100. 23/100 then divide by a factor but for this one there is no simplified fraction so 23/100
(A) find the perimeter of triangle BCF, to the nearest hundredth
(B) find the area of triangle BCF
Perimeter of triangle BCF is 19.24 units. Area of triangle BCF is 15 [tex]units^{2}[/tex].
Distance formula = [tex]\sqrt{(x1-x2)^{2}+(y1-y2)^{2} }[/tex]
Perimeter = a + b + c
Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
s = [tex]\frac{a+b+c}{2}[/tex]
Given, B(3,2), C(1,-2), F(-3,5).
BC = a = [tex]\sqrt{(3-1)^{2} +(2+2)^{2} }[/tex]
= [tex]\sqrt{2^{2} +4^{2} }[/tex]
= [tex]\sqrt{4+16}[/tex]
= [tex]\sqrt{20}[/tex]
= 4.47 units
CF = b = [tex]\sqrt{(1+3)^{2} +(-2-5)^{2} }[/tex]
= [tex]\sqrt{4^{2} +7^{2} }[/tex]
= [tex]\sqrt{16+49}[/tex]
= [tex]\sqrt{65}[/tex]
= 8.06 units
BF = c = [tex]\sqrt{(3+3)^{2} +(2-5)^{2} }[/tex]
= [tex]\sqrt{6^{2} +3^{2} }[/tex]
= [tex]\sqrt{36+9}[/tex]
= [tex]\sqrt{45}[/tex]
= 6.71 units
Perimeter = a + b + c
= 4.47 + 8.06 + 6.71
= 19.24 units
s = [tex]\frac{a+b+c}{2}[/tex]
= [tex]\frac{19.24}{2}[/tex]
= 9.62
Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
= [tex]\sqrt{9.62(9.62-4.47)(9.62-8.06)(9.62-6.71)}[/tex]
= [tex]\sqrt{9.62*5.15*1.56*2.91}[/tex]
= [tex]\sqrt{224.91}[/tex]
= 14.99
≈ 15 [tex]units^{2}[/tex]
Hence, perimeter is 19.24 units and area is 15 [tex]units^{2}[/tex].
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What is the image point of (2,0)(2,0) after the transformation D_{\frac{1}{2}}\circ R_{270^{\circ}}D
2
1
∘R
270
∘
The image of point (2,0) after the transformation involving the dilation and the rotation is given as follows:
(0, -1).
What are the transformations applied to the point?The first transformation applied to the point is a dilation, which multiplies the coordinates of the point by the scale factor.
The point has these following coordinates:
(2,0).
The scale factor of the dilation is:
k = 1/2 = 0.5.
Then each coordinate of the point is multiplied by 0.5, hence:
2 x 0.5 = 1.0 x 0.5 = 0.Hence the coordinates are:
(1,0).
The rule for a rotation of 270º clockwise around the origin is:
(x,y) -> (y,-x).
Then:
x = 1, -x = -1.y = 0.Thus the coordinates of the image are given as follows:
(0, -1).
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Construct a rational function that has a vertical asymptote at x = 3 and a removable discontinuity at x = -2. Explain how you determined your answer.
WILL GIVE BRAINLYIST
The rational function is (x + 2)/(x - 3)(x + 2) which has a vertical asymptote at X = 3, and a removable discontinuity at x = -2.
Function
The function is referred as a mathematical expression that defines a relationship between one variable and another variable.
Given,
Here we need to construct a rational function that has a vertical asymptote at x = 3 and a removable discontinuity at x = -2.
Through the given question, we have been given that the rational function that has a vertical asymptote at x = 3, and a removable discontinuity at x = -2.
Here the x = 3 is a vertical asymptote.
So the one factor in the denominator is (x - 3),
And the discontinuity at x = - 2 can be removed, so the another common factor in the numerator and denominator is x+2.
Therefore, the rational function would be :
f(x) = (x + 2)/(x - 3)(x + 2)
So, the rational function would be (x + 2)/(x - 3)(x + 2).
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Identify the domain and range of the relation, and determine whether the relation is a function.
{(0, 3),(-1/3,0),(-5, 2),(1/3,4)}
A number cube with faces labeled from 1 to 6 will be rolled once.
The number rolled will be recorded as the outcome.
Give the sample space describing all possible outcomes.
Then give all of the outcomes for the event of rolling a number greater than 3.
If there is more than one element in the set, separate them with commas
The Sample space for number greater than 3= {4, 5, 6}
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
A number cube with faces labeled from 1 to 6 will be rolled once.
so, Sample Space = { 1, 2, 3, 4, 5, 6}
sample space for number greater than 3= {4, 5, 6}
Thus, the probability is 3/6 or 1/2.
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The box plot shows the times for sprinters on a track team.
(A horizontal number line starting at 40 with tick marks every one unit up to 59. The values of 44, 48, 50.5, 53, and 56 are all marked by the box plot. The graph is titled Sprinters' Run Times, and the line is labeled Time in Seconds.)
What is the value of the upper quartile?
The five number from the box plot is presented as follows:
Minimum value: 44.First quartile: 48.Median: 50.5.Third quartile: 53.Maximum value: 56.What does a box-and-whisker plot shows?A box and whisker plot shows five things of a distribution, listed as follows:
The data set's lowest value.The value that 75% of the measures are larger than is found in the first quartile, which is the median of the data set's lowest 50% of measurements.
50% of the data set is less than the median and 50% is more than the median, which is the midpoint value of the data set.The third quartile, which is the median of the data set's top 50% of measurements, is the value that 75% of the measures fall below.The data set's maximum value.
These numbers, which make up the five number summary, are the values highlighted on the box plot from left to right, from the minimum value to the greatest value, passing through the first quartile, the median, and the third quartile.
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Each of 7 students reported the number of movies they saw in the past year. Here is what they reported. 14,10,16,15,7,15,18
Find the number of movies that the students saw. If necessary, round your answer to the nearest tenth
The total number of movies that the students saw is 105.
I got the answer by adding all of the values that the students saw. So I add 14,10,16,15...etc. which gives me the total of 105.
SOMEONE HELP ASAP PLEASE!!!!! Allie deposited $5,000.00 into a new savings account that earns 11% interest compounded
monthly. How long will it take for the balance to grow to $6,407.00?
Round your answer to the nearest month.
The time taken for the balance to grow is 2.3 years.
What is compound interest?
Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
"Interest on interest,
Given, compound interest =6.407
principal = 5,000
rate = 11%
to find the time
we know compound interest = principle(1+rate)^t
6407= 5000(1+11/100)^t
6407/5000= (1.11)^t
1.28 = (1.11)^t
taking log
log (1.28)= log(1.11)^t
0.24/0.104 =t
t = 2.3
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I need help with this question anyone?
Answer:
B; 14 cents/1 ounce
Step-by-step explanation:
So you were given the information that there is 140 cents per 10 ounces. Now, we have to get that into a unit rate, which is a number over 1. It would have to be B because the info. was cents/ounces and typically money is over amount.
So you do 140/10
That equals out to 14/1
So it is 14 cents/1 ounce.
Hope this helps!!! :)
In order to start a small business, a student takes out a simple interest loan for $4000.00 for 6 months at a rate of
9.75%.
a. How much interest must the student pay?
b. Find the future value of the loan.
Answer:
a. $195
b. $4,195
Step-by-step explanation:
Use the equation A = P(1 + rt)convert rate into decimal (0.0975)convert time into years to make things easier (0.5 years)Solve: A = 4000(1 + (0.0975 × 0.5)) = 4195A = $4,195.00Interest: $4,195 - $4,000 = $195
Select the correct answer. Maria donates a fixed amount, a, to a charity each month. If she donates $300 in 12 months, what is the equation for a? A. a + 300 = 12 B. a × 300 = 12 C. a × 12 = 300 D. a + 12 = 300 E. a + 32 = 100
Answer: C
she donates a for 12 months, the 12 in the a * 12=300. the a is the fixed amount, meaning she will donate a 12 times in a year.
5. On a cattle farm, the ratio of beef cattle to dairy cattle is 4:3.
3
(a) Interpret the ratio: For every
beef cattle, there are
cattle.
dairy
(b) If there are 24 dairy cattle, how many
beef cattle would there be? Show your
work.
For every 4 beef cattle there is 3 dairy cattle. For 24 dairy cattle there will be 32 beef cattle as per the given ratio of 3:4.
What is ratio?An ordered pair of numbers a and b, written as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could write the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls). The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two things.
Here,
a. No for every 4 beef cattle there is 3 dairy cattle.
b. 4/3=x/24
x=4*24/3
x=32 beef cattle
There are 3 dairy cattle for every 4 beef cattle. According to the stated ratio of 3:4, there will be 32 beef cattle for every 24 dairy cattle.
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calculate the arithmetic mean of the numbers 7 and 17, 1/3 and-2/5, -12 and 7, -121 and 49, -16, -9, and 4
47 POINTSSSSSSSSSSSS
The arithmetic mean of the numbers is -6 11/15
What is arithmetic mean?Arithmetic mean is often referred to as the mean or arithmetic average. It is calculated by adding all the numbers in a given data set and then dividing it by the total number of items in that set.
therefore, arithmetic mean= sum of items/ no of items
The average of numbers,7, 17, 1/3 ,-2/5, -12 ,7, - 121, 49,-16,-9and 4 is obtained by adding the numbers to together and dividing the result by the total frequency.
The sum of the numbers is 7 +17 +1/3-2/5 -12+7 - 121+ 49-16-9+ 4= -1111/15
the total number of items in the set is 11
therefore arithmetic mean = -1111/15÷ 11
= -1111/15×1/11
=-101/15
= -6 11/15
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HELP PLEASE ILL DO ANYTHING ONE MCRIB BURGER
The solutions for the graphed linear inequality are (-4, 0), (-1, 4), (0, 0), and (-2, 0). The correct options are A. (-4, 0), B. (-1, 4), C. (0, 0), and E. (-2, 0)
Determining the solutions of a linear inequality from a graphFrom the question, we are to determine all of the solutions for the linear inequality whose graph is given
To do this, we will find the points that fall in the solution region (shaded portion of the graph)
A. (-4, 0)The point (-4, 0) falls in the solution region. Thus, it is a solution for the linear inequality.
B. (-1, 4)The point (-1, 4) falls in the solution region. Thus, it is a solution for the linear inequality.
C. (0, 0)The poi0nt (0, 0) falls in the solution region. Thus, it is a solution for the linear inequality.
D. (4, -1)The point (4, -1) does not fall in the solution region. Thus, it is not a solution for the linear inequality.
E. (-2, 0)The poi0nt (-2, 0) falls in the solution region. Thus, it is a solution for the linear inequality.
F. (0, -2)The point (0, -2) does not fall in the solution region. Thus, it is not a solution for the linear inequality.
Hence, the solutions are (-4, 0), (-1, 4), (0, 0), and (-2, 0).
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Which equation is equivalent to the given equation
x = x² - 20
A) x^2 - x-20=0
B) x^2 +x -20 =0
C) x^2-x+20=0
D) x^2+x+20=0
A cube has an edge measuring 7 inches.
What is the volume of the cube, in inches?
If you throw exactly two heads in three tosses of a coin you win $41. If not, you pay me $29. If you played this game 713 times how much would you expect to win or lose?
Two heads in three tosses is 3/8, 3/8x713=267.375. 267.375×41=10,962.375.
5/8x713=445.62, 445.62×29=12,923.125
So 10,962.375-12,923.125=-1960.75
Therefore if you played this game, you would statistically lose $1960.75
Susie is visiting the U.S. from Mexico. One day she stopped by a market and found a stall selling tomatoes for 0.83 dollars per pound. If 1 peso was worth 0.053 dollars that day, how much did the tomatoes cost in pesos per kilogram?
First fill in the two blanks on the left side of the equation using two of the ratios. Then write your answer rounded to the nearest hundredth on the right side of the equation.
The value of given ratio is 34.45 peso/kg as the given ratio are : 1 peso/0.053 dollar, 0.053 dollar/1 peso, 1 kg/2.2 lbs, 2.2 lbs/1 kg, 0.83 dollar/1lbs.
What is ratio?An ordered pair of numbers a and b, written as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could write the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls). The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two things.
Given ratio,
1 peso/0.053 dollar
0.053 dollar/1 peso
1 kg/2.2 lbs
2.2 lbs/1 kg
0.83 dollar/1lbs * 2.2 lbs/1 kg* 1 peso/ 0.053 dollar = 34.45 peso/kg
The value of the given ratio is 34.45 pesos per kilogram because the ratios are 1 peso/0.053 dollar, 0.053 dollar/1 peso, 1 kg/2.2 lbs, 2.2 lbs/1 kg, 0.83 dollar/1lbs.
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A family has two cars. During one particular week, the first car consumed 30 gallons of gas and the second consumed 40 gallons of gas. The two cars drove a combined total of 1600 miles, and the sum of their fuel efficiencies was 45 miles per gallon. What were the fuel efficiencies of each of the cars that week?
If the fuel efficiencies of each of the cars that week is 20 gallons of gas and 25 gallons of gas.
How to find the efficiencies?Let x represent the gallons consumed by car 1
Let y represent gallons consumed by car 2
Formulate an equation:
30x+40y = 1600 equation 1
x+y = 45 equation 2
Substituting equation 2 into equation 1,
30x+40(45-x) = 1600
30x+ 1800-40x = 1600
-10x+1800 = 1600
-10x = -200
Divide both side by -10x
x = -200/-10
x = 20
Substitute value of x into equation 2
x+y = 45
20+y = 45
y = 25
Hence,
Car 1 consumes 20 gallons of gas and Car 2 consumes 25 gallons of gas.
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y = 3x + 6
What is the gradient?
What is the y-intercept?
Answer: Gradient: 3. y-intercept: 6
Step-by-step explanation:
Johnny is 5 years younger than twice Bobby's age. If the sum of thier ages is over 66 years.
What is the Johnny's minimum age?
The minimum age of Johnny is 21 as calculated by linear inequality.
Let Johnny 's age be x.
hence bobby's age = (x+5)/2
Now the sum of their ages is over 66 years.
So we will set an inequality to find the minimum age of Johnny.
x + (x+5)/2 > 66
or, 2x + x + 5 > 66
or, 3x > 61
or, x > 20 1/3
Therefore age cannot be fraction hence the minimum age of Johnny is 21 years.
In mathematics, an inequality is a connection that makes an unequal comparison between two numbers and maybe other mathematical expressions. On that number line, size comparisons between two numbers are typically done. Different notations can be used to represent various kinds of inequalities, including:
A is smaller than b, as shown by the symbol a < b.
When the expression a > b is employed, it means that a is greater than b.
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What is the slope of a line that is perpendicular to y = 6/7x + 2 and passes through point (−2, 3)?
The slope of the line that is perpendicular to y is m=6/7.
What do you mean by slope?
A number used to define a line's direction and steepness in mathematics is called the slope or gradient of the line.
The slope is denoted by m,
m = slope
According to the data in the given question:
We have to determine the slope of line that is perpendicular to y,
y=6/7x+2
For the slope, we need follow this equation, where m is slope,
y=mx+b............(1)
In the given question,
m=6/7
Therefore, the slope of the line is m=6/7.
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If the nth term of a number sequence n2-3 find the first 3 terms
Answer:
-1,-2,0
Step-by-step explanation:
n(2-3)
1st term=n(2-3)
substitute value
1(2-3)=-1
2nd term=2(2-3)=-2
3rd term=3(3-3)=0
WILL GIVE BRAINLIEST !!
What does the slope of a position vs. time graph tell you? What does the slope of a velocity vs. time graph tell you?
Answer:
a) velocity
b) displacement
The animals at a safari park include camels,
kangaroos and meerkats.
There are 12 more kangaroos than there are
camels.
There are 3 times as many meerkats as there
are camels.
There are the same number of kangaroos as
there are meerkats.
How many camels are there at the safari park?
Number of camels are there at the safari park are 6 unit.
The animals at a safari park include camels, kangaroos and meerkats.
Let kangaroos are represented as K and Camels are represented as C and Meerkats are represented as M.
There are 12 more kangaroos than there are camels which means
K = C + 12.
There are 3 times as many meerkats as there are camels which means
M = 3C.
There are the same number of kangaroos as there are meerkats which means
K = M
If K = M
therefore,
3C = C + 12
2C = 12 ,
C = 6 unit.
So, K = 6 + 12 = 18
Or M = 18
Therefore number of camels, kangaroos and meerkats at the safari park are 6 , 18 and 18 respectively.
Number of camels are there at the safari park are 6 unit.
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rewrite each expression (2+g)8
Answer:
8×2+8×g
Step-by-step explanation:
An online electronic store's sales are currently increasing at a rate of 2.7% monthly. If they had $65,000 in sales for this month, what will their sales be in 1 year?
The Sales of the electronic store in 1 year is 66,776.88
Applications of Compound interest:
Compound interest is an interest that is calculated on the principal and the interest accumulated over the previous period. The concept of compound interest can be used in different types of situations like an Increase in population or a decrease in population, Depreciation, or increasing the value of an item, etc.
The formula for compound interest is given by
Total amount, A = P(1 + r/n)^nt
where P = initial amount
r = rate of increase
n = number of compounds in year
t = time period in years
Here we have,
The rate of increase in sales r = 2.7% (per monthly)
=> r = 2.7/100 = 0.027
Here sales are increased monthly
then the number of compounds per year = 12
Sales in this month, P = 65000
From above formula
Sales in 1 year, A = 65000(1 + 0.027/12)¹²
= 65,000(1 + 0.00225)¹²
= 66,776.88
Therefore,
Sales of the electronic store in 1 year = 66,776.88
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