The ratio of boys to girls in Simplest form is [tex]\frac{7}{8}[/tex] or 7:8 .
Ratio is defined as the term that is used to compare two or more numbers.
It is denoted by a:b and ":" is read as "is to" .
For Example , In a mixture of 10liter there 9 liter of milk and 1 liter of water ,
So the ratio of milk to water in the mixture will be 9:1 or [tex]\frac{9}{1}[/tex].
In the given question
Total members = 30
Number of Boys =14
Number of Girls = 30-14=16
The ratio of boys to girls =[tex]\frac{14}{16} =\frac{7}{8}[/tex] or 7:8 .
Therefore , the ratio of boys to girls in simplest form is 7:8.
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Andre Marshall is paid 10$per hour for a 40 hour work week
Answer:
$400???
Step-by-step explanation:
If, thats the whole question.
the 1560 members of the temecula community church have a method of quickly notifying members. the pastor and his secretary each call 3 members each of whom then call 3 other members, each of whom then calls 3 more members, and so on. how many rounds of calls are needed before all 1560 members are called
Using an exponential function, it is found that 7 rounds are needed before all 1560 members are called.
What is an exponential function?An exponential function is modeled as follows:
[tex]y = ab^x[/tex]
In which:
a is the initial value.b is the rate of change.Considering that initially one person knows the method, and then each person will call 3 other people, the parameters are given as follows:
a = 1, b = 3.
Hence the number of people that are called after x rounds is given by:
[tex]y = 3^x[/tex]
The number of rounds that will take for the 1560 members to be called is found as follows:
[tex]3^x = 1560[/tex]
[tex]\log{3^x} = \log{1560}[/tex]
[tex]x\log{3} = \log{1560}[/tex]
[tex]x = \frac{\log{1560}}{\log{3}}[/tex]
x = 6.69.
Rounding up, as at the end of the 6th call not all members will have been called, 7 rounds are needed before all 1560 members are called.
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Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unknown endpoint. Apply the midpoint formula, and solve the two equations for x and y.)
midpoint (20,21), endpoint (19,12)
(-1, 2))
You just to make use of the Midpoint Formula to solve for the missing coordinate
Midpoint Formula
((x1 + x2)/2, (y1 + y2)/2)
Midpoint (0,-1) end point (1,-4)
Let x1 = 1, the x coordinate of the endpoint
Let x2 = the x coordinate of the unknown endpoint
Let y1 = -4, the y coordinated of the endpoint
Let y2 = the y coordinated of the unknown endpoint
Just plug in the values and do the calculations
For the x coordinate of the unknown endpoint
(x1 + x2)/2
(1 + x2)/2 = 0
1 + x2 = 0
x2 = -1
For the y coordinate of the unknown endpoint
(y1 + y2)/2
(-4 + y2)/2 = -1
-4 + y2 = -2
y2 = -2 + 4
y2 = 2
So the coordinates of the other endpoint are (-1,
What is the approximate value of 8–√ ?
The value of 8-√5 is approximately 5.76 which is calculated by rounding the square root of 5 to 2 decimal places.
A number y whose square (the outcome of multiplying the number by itself, or y × y), is x (y² = x) is said to be the square root of a number x.
For instance, since 4² = (4)² = 16, 4 and -4 are the square roots of 16.Every nonnegative real number x has a singular nonnegative square root, denoted by √n where the symbol √ is known as the radical sign or radix, which is known as the primary square root.For instance, we write to indicate that the primary square root of √9 is 3. The radicand is the phrase (or integer) whose square root is being analyzed. The quantity or phrase that appears beneath the radical sign is known as the radicand.Now the given expression is of the form ( 8 - √5 )
We know that √5 = 2.2360... ≈ 2.24 (rounded to 2 decimal places.)
∴ 8 - √5
= 8 - 2.24
= 5.76
Hence the value of the expression is approximately 5.76 .
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Disclaimer: The complete question is:
What is the approximate value of 8–√5 ?
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A law clerk has earned no less than $25,000 since being hired.
Answer:
A. s ≥ 25,000
Hope this helps :)
The law clerk can earn $25,000 or more since being hired.
How many liters of water should be evaporated from 60 liters of a 28% salt solution so that the remaining solution contains 32% salt?
7.5 liters
8.4 liters
43.2 liters
52.5 liters
Answer:
7.5 liter
Step-by-step explanation:
That is right 7.5 liters
Answer:
7.5 liters
its hard to explain for me because i don't know some other English words.
Out of the incoming freshman at a collage 2,268 of them are female. how many incoming freshman are there if 58% are male?
When out of the incoming freshman at a collage 2,268 of them are female and 58% are male then the total number of freshman is 5400
Given,
Number of females = 2268
Consider the total number students as x
Percentage of male = 58%
Then the equation will become
x-2268= x×[tex]\frac{58}{100}[/tex]
x-2268=0.58x
x-0.58x=2268
0.42x=2268
x=5400
Hence, when out of the incoming freshman at a collage 2,268 of them are female and 58% are male then the total number of freshman is 5400
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please help it’s about finding the mean
The mean of the data is 16 cm and the absolute mean deviation is 1.4 cm.
Given we have the data set values.
Total number of data set values = 10
to find the mean we need to find the sum of the data set values and then divide it by the total number of data set values.
Therefore, mean = 13₊14₊14₊16₊16₊16₊16₊18₊18₊19 / 10
mean = 160/10
mean = 16 cm
To find the absolute mean deviation we need to find the deviation from the mean, from that the absolute mean deviation.
Data value Deviation from mean Absolute mean deviation
13 13 ₋ 16 = ₋3 I ₋3 I = 3
14 14 ₋ 16 = ₋2 I ₋2 I = 2
14 14 ₋ 16 = ₋2 I ₋2 I = 2
16 16 ₋ 16 = 0 0
16 16 ₋ 16 = 0 0
16 16 ₋ 16 = 0 0
16 16 ₋ 16 = 0 0
18 18 ₋ 16 = 2 2
18 18 ₋ 16 = 2 2
19 19 ₋ 16 = 2 3
Now the total of the absolute mean deviation is 14
divide it by 10
= 14/10
= 1.4 cm
Hence we get the mean and the absolute mean deviation as 16 cm and 1.4 cm.
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The end points of AB are A (-7.7)and B (10.5). Find the coordinates of mid point M
The midpoint becomes Midpoint M is 3/2, 6.
According to the statement
We have to find that the midpoint.
So, For this purpose, we know that the
Midpoint is the the point on a line segment or an arc that is equidistant, when measured along the line or the arc, from both endpoints.
From the given information:
The end points of AB are A (-7,7)and B (10,5).
Then
Midpoint M = Midpoint of A, Midpoint of B
Then
Midpoint M = -7+10 /2, 7+5/2
Midpoint M = 3/2, 12/2
Midpoint M = 3/2, 6.
Then the midpoint of the AB becomes the 3/2, 6. which represent the 3/2 is the x coordinates and the y coordinates is a 6.
So, The midpoint becomes Midpoint M is 3/2, 6.
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Please answer ASAP Due in 4 hours
Answer:
+6
Step-by-step explanation:
3s≤ 19;s=-6
Tell whether the value is a solution of the inequality.
Yes , s = - 6 is the solution of the given inequality 3s ≤ 19 .
When two real numbers or algebraic expressions are related by the symbols '>', '<', '≥', '≤', the relationship is called an inequality. In algebra, an inequality is a mathematical statement that uses the inequality symbol to show the relationship between two expressions. A solution set is a set of values that satisfy a given inequality. This means that all values in the solution set satisfy the inequality and other values do not.If s = - 6 is the solution of given inequality 3s ≤ 19 ...... (1) then , it must satisfy the inequality.
Putting s = - 6 in equation (1) , we get
[tex]3(-6)\leq 19\\-18\leq 19[/tex]
As the above condition is true so , s = - 6 is the solution of given inequality.
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Write the equation of the parabola in vertex form.
vertex(4,4) , (3,2)point?
please help me with this question
The equation of the parabola in vertex form is y=-2(x-4)²+4.
Given that the vertex point is (4,4), (3,2).
The equation of a parabola in vertex form is y=a(x-h)²+k where a is called stretch coefficient and the point (h,k) is the vertex of the parabola.
A parabola with its vertex at the point (4,4), therefore h=4,k=4 and we can write
y=a(x-4)²+4
To find the value of a we use the point (3,2). Substituting on the equation we get:
y=a(x-4)²+4
2=a(3-2)²+4
2=a(1)²+4
2=a+4
2-4=a
-2=a
Then the equation of the parabola in vertex form is y=-2(x-4)²+4.
Hence, the equation of the parabola in vertex form from the given point (4,4), (3,2) is y=-2(x-4)²+4.
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A recipe called for using 5 1/8 cups of flour before baking and another 8 7/9 cups after baking. What is the total amount of flour needed for the recipe?
Answer:
13 65/72 is your answer.
Step-by-step explanation:
Answer:
13 65/72
Step-by-step explanation:
(PLS HELP I NEED THIS ITS DUE IN 30 MIN) The perimeter of the quadrilateral is 120 feet and BA = x + 30, BC = 2x + 10, and CD = x + 20. Determine the length of the sum of the smallest side and the largest side.
The length of the sum of the smallest value and the largest value is 105 feet.
Given data
BA = x + 30
BC = 2x + 10
CD = x + 20
Perimeter = 120 feet
How to find the length of the sum of the smallest side and the largest side.The perimeter refers to the sum of all the dimensions which is given as 120 feet. We sum the dimensions given to find the value of x.
This is done as follows:
Perimeter = BA + BC +CD
120 = x + 30 + 2x + 10 + x + 20
120 = x + 2x + x + 30 + 10 + 20
120 = 4x + 60
4x = 120 - 60
4x = 60
x = 60 / 4
x = 15
plugging in x = 15 into the dimensions given we have
BA = x + 30
BA = 15 + 30
BA = 45
BC = 2x + 10
BC = 2 * 15 + 10
BC = 30 + 40
BC = 70
CD = x + 20
CD = 15 + 20
CD = 35
Hence we can say that the smallest value is 35 and the largest value is 70.
sum of the values
70 + 35 = 105
The sum of the smallest value and the largest value is 105 feet.
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m
=
11
x
+
1
,
DCH
m
=
8
x
,
and
DCB
m
=
172
°
.
Find
DCH
m
.
The value of the angle DCH is 72 degrees
How to determine the value of the angle DCH?The given parameters are
m = 11x+1,
DCH = 8x,
DCB = 172°.
The above means that:
11x + 1 + 8x = DCB
This gives
11x + 1 + 8x = 172
Evaluate the like terms
19x = 171
Divide both sides by 19
x = 9
Substitute x = 9 in DCH = 8x,
DCH = 8 * 9
Evaluate
DCH = 72
Hence, the value of the angle DCH is 72 degrees
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whats the answer to 1.17-0.07+ (3.92a)
Answer:
3.92a + 1.1
Step-by-step explanation:
remove the parentheses
1.17 - 0.07 + 3.92a
subtract
1.17 - 0.07 = 1.1
= 3.92a + 1.1
Cuánto es 22=5(y–8)????????
Answer:12.4
Step-by-step explanation:
22=5(y-8) Use the distribution property
22=5y-40 Add 40 to both sides
62=5y Divide 5 from both sides
12.4 = y
Answer:
y=62/5
Step-by-step explanation:
mueva los términos
22=5y-40
calcule
-5y=-40-22
multiplique ambos lados
-5y=-62
y=62/5
One side of a cube is 3 cm long. Its mass is 110 g. What is the density of the cube?
The density of the cube is 4.1g/cm³
How to calculate the density of the cube ?
The first step is to calculate the volume
Volume= area³
= 3³
= 27
The density can be calculated as follows
= mass/volume
= 110/27
= 4.1
Hence the density of the cube is 4.1gram/cm³
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Select the correct answer. what is the value of the third quartile of the data set represented by this box plot? a box plot with lower quartile, median and upper quartile values as 21, 26, and 29, respectively. the whiskers on both the ends end at 19 (minimum) and 33 (maximum). a. 19 b. 21 c. 26 d. 29
Answer:
D. 29
Step-by-step explanation:
just did the test and got it correct. Edmentum, Plato.
1 What is the domain of the following function?
A -4
B 4≤x≤1.5
C -5
D -5≤y≤6
The domain of the function is -4 ≤ x ≤ 1.5. The correct answer is option B.
What is Domain ?
A domain is the possible independent variable value of a function. In a two dimensional graph, the independent variable is x - axis.
From the given graph, tracing the line of the equation to the x - axis, the independent variable value span from x = -4 to x = 1.5.
So, we can say that the domain of the function is -4 ≤ x ≤ 1.5
Therefore, the correct answer is option B.
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One roofer can put a new roof on a house three times faster than another. working together they can roof a house in 5 days. how many days would it take the faster roofer to put a new roof on a house working alone? round the answer to the nearest tenth. (assume the roofs of the houses are similar sizes.)
According to the given statement the quicker roofer can finish a house's roof in around 6.7 days when working alone.
How do you rounding off ?In a given base, a round number is a number that ends including one or more "0s." So, 590 is more round than 592, but less round than 600. A round number is frequently interpreted in both technical and casual language to stand for something like a value or values close to the nominal value represented.
According to the given data:If the faster roofer takes t, the slowest one will take 3t.
Their total daily charges for roofing are
1/t + 1/(3t) = 1/5
4/(3t) = 1/5
multiply by 5t
t = 5(4/3)
= 20/3
= 6.7
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Find the product of 4.5 x 1012 and 5.12 x 109. write the final answer in scientific notation. 23.04 x 1021 23.04 x 1022 2.304 x 1021 2.304 x 1022
Answer: 4.5 x 1012 = 4554x
Step-by-step explanation:
5.12 x 109 = 558.08
TEMPERATURE The temperature on a thermometer dropped from a reading of 25°to -8°. Find the midpoint of these temperatures.
Answer:
8.5°
Step-by-step explanation:
25 + (-8)
=25 - 8
=17 ÷ 2
= 8.5°
If m< EBC = 3y+10 and m< ABE = 2y-20, find m< EBF.
By applying the supplementary angle theorem, the magnitude of angle EBF (m<EBF) is equal to 60°.
What is a supplementary angle?A supplementary angle can be defined as two (2) angles or arc whose sum is equal to 180 degrees.
Mathematically, a supplementary angle can be calculated by using this formula:
Q + R = 180
Where:
Q and R are measure of the angles subtended.
Substituting the given parameters into the formula, we have;
m<EBC + m<ABE = 180
3y + 10 + 2y - 20 = 180
5y - 20 = 180
5y = 180 + 20
5y = 200
y = 200/5
y = 40
Now, we can determine the magnitude of angle EBF (m<EBF) based on the given diagram:
m<ABE = m<EBF
m<EBF = 2y - 20
m<EBF = 2(40) - 20
m<EBF = 80 - 20
m<EBF = 60°
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choose the four variables that are most important to control in an experiment about the rate at which bread turns moldy.
Four variables that are most important to control in an experiment about the rate at which bread turns moldy are:
(A) Humidity.(C) Age of bread.(D) Type of bread.(H) Type of storage container.What do we mean by experiment?An experiment is a procedure that is carried out to support or refute a hypothesis, or to determine the efficacy or likelihood of something that has never been tried before. Experiments shed light on cause-and-effect relationships by demonstrating what happens when a specific factor is changed. Experiments vary greatly in goal and scale, but they all rely on repeatable procedures and logical results analysis. Natural experimental studies are also available.So, the variables that are most important in an experiment about the rate at which bread turns moldy are:
Humidity.Age of bread.Type of bread.Type of storage container.Therefore, four variables that are most important to control in an experiment about the rate at which bread turns moldy are:
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The correct question is given below:
Choose the four variables that are most important to control in an experiment about the rate at which bread turns moldy.
a. humidity
b. B time of day
c. age of bread
d. type of bread
e. shape of bread
f. height of observer
g. type of shelf surface
h. type of storage container
If it takes 3 seconds to fill up a 16 ounce
jar, how many seconds will it take to fill up a
100 ounce bucket?
Answer:
18,000
Step-by-step explanation:
write out the form of the partial fraction decomposition of the function (as in this example). do not determine the numerical values of the coefficients. (a) x − 30 x2 x − 30 (x−5)b (x 6)a (x−5)(x 6) (b) x2 x2 x 30
The partial fraction decomposition of the given expression can be written as
[tex]\frac{(x-30)}{x2+x-30} = \frac{A}{(x-5)} +\frac{B}{(x+6)}[/tex]
What is the partial fraction and quadratic equation?
The expression which is in the form of a rational equation can be converted to multiple fractions by performing factors of the denominator equation. And later split the fraction expression into two or more simpler fractions which form a partial fraction.
A quadratic expression is a second degree polynomial equation whose coefficients are real numbers. It comes from the word “quad” which means “square”. And that is why the degree of a quadratic equation is two.
According to the question, the factors of the denominator expression which is quadratic in nature:
[tex](x^{2} +x-30)=(x-5)(x+6)[/tex]
Now, the factors of the given expression are possible. The the partial fraction can be written as:
[tex]\frac{(x-30)}{x2+x-30} = \frac{A}{(x-5)} +\frac{B}{(x+6)}[/tex]
The factors of the second equation are not possible.
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To conserve water, many communities have developed water restrictions. the water utility charges a fee of $29, plus an additional $1.41 per hundred cubic feet (hcf) of water. the recommended monthly bill for a household is between $54 and $82 dollars per month. if x represents the water usage in hcf in a household, write a compound inequality to represent the scenario and then determine the recommended range of water consumption. (round your answer to one decimal place.) 54 ≤ 1.41x 29 ≤ 82; to stay within the range, the usage should be between 17.7 and 37.6 hcf. 54 ≤ 1.41x 29 ≤ 82; to stay within the range, the usage should be between 17.7 and 58.2 hcf. 54 ≤ 1.41x − 29 ≤ 82; to stay within the range, the usage should be between 38.2 and 78.7 hcf. 54 ≤ 1.41x − 29 ≤ 82; to stay within the range, the usage should be between 58.9 and 78.7 hcf.
Answer: The answer is "54 ≤ 1.41x + 29 ≤ 82; To stay within the range, the usage should be between 17.7 and 37.6 HCF."
I took the test.
please help!!!!!!! i really need the answer
Answer:
When you will take a money.
How many times per year
a robot encounters a bunch of coins spread out on the ground. it examines each coin and, if the coin is heads, turns it to tails with 100% probability. if the coin is tails, it turns it to heads with 50% probability. he examines each coin once per cycle. if you have the robot cycle through the coins a very large number of times, what will eventually happen to the proportion of heads and the proportion of tails?
The proportion of heads and the proportion of tails p(H) + p(T) = 1.
Let p(H) represent the long-term probability that the coin will land on heads, and p(T) represent the long-term probability that the coin will land on tails.
Keep in mind that we must be at a tail and transition with a probability of 0.5 in order to get a head. So, p(H) = 0.5p(T).
Noting that we can either be at a head and transition to a tail with a probability of 1, or at a tail and transition to a tail with a probability of 0.5, we can obtain a tail. p(T) therefore equals 0.5 * p(T) + p(H).
Note that p(T) = 2 p is the result of the first two equations (H). We obtain p(H) = 1/3 and p(T) = 2/3 by substituting into p(H) + p(T) = 1. So, eventually, we'll have two-thirds of the coins with heads and one-third with tails.
What is the probability of finding three heads if there are five coins?The probability of finding three heads is 1/4. We should find the probability of finding three heads in five tosses with the help of the following formula:
p(x) = (x+1) C x-1 p(3 Heads)
p(x) = (5+1) C 4 -1p(3 Heads) = 7/8.
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