Answer:
Answer: 45ft x 45ft
Step-by-step explanation:
we know that
Perimeter = 2(Length) + 2(Width)
180 = 2L + 2W
90 = L + W
90 - L = W
Area = Length *Width
= L(90 - L) → = 180L - L²
There are 2 different methods for solving (depending on which math course you are taking).
Calculus: find the derivative, set it equal to zero, and solve for L.
= 90L - L² → 0 = 90 - 2L → 2L = 90 → L = 45
Algebra: find the vertex.
= - L² + 90L → L = -b/2a → L = -90/2(-1) → L = 45
insert L it into the Perimeter equation to solve for W:
90 - L = W → 90 - 45 = W → W = 45
Answer: 45ft x 45ft
It takes Andre 4 minutes to swim 5 laps How many minutes per lap is that?
Answer:
It takes him 1 minute and 25 seconds
Step-by-step explanation:
5 ÷ 4 = 1.25
The number of laps per minute is 1.25 laps.
Given that, time = 4 minutes and the number of laps = 5.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Here,
Number of laps per minute = Total number of laps/Number of minutes
= 5/4
= 1.25 laps
Therefore, the number of laps per minute is 1.25 laps.
To learn more about the unitary method visit:
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3x + 4y = –23
X=3y+1
A survey found that 75% of guitar players recommend starting with the acoustic guitar if you are a beginner. Out of 40 guitar players, how many guitar players would you expect to recommend the acoustic guitar?
***USE PENCIL AND PAPER TO SOLVE THE PROBLEM!!!
20%
15%
30%
80%
Answer:
15
Step-by-step explanation:
I can't do it on paper, so I'll type it up for you so you can copy it down.
'Percent (%)' means 'out of one hundred':
75% = 75 'out of one hundred',
p% is read p 'percent',
75% = 75/100 = 75 ÷ 100.
'Percentage' is obtained by multiplying 20 by 75%.
75% × 20 =
(75 ÷ 100) × 20 =
(75 × 20) ÷ 100 =
1,500 ÷ 100 =
15;
The answer is 15.
Hope this helped!
Answer:
15
Step-by-step explanation:
Find three consecutive odd integers such that the sum of the second and third is five less than three times the first.
what is the equivalent decimal to 3/16
Answer:
0.1875 :)
Step-by-step explanation:
Answer:
3/16 = 0.1875
Step-by-step explanation:
-4(12 - 6b) = -12(b + 4)
Answer:
b=0
Step-by-step explanation:
-4(12 - 6b) = -12(b + 4)
-48 + 24b = -12b - 48
24b = -12b
b=0
If the mean GPA among students is 3.25 with a standard deviation of 0.75, what is the probability that a random sample of 300 students will have a mean GPA greater than 3.30
Answer:
The value is [tex]P(X > 3.30) = 0.12405[/tex]
Step-by-step explanation:
From the question we are told that
The mean GPA is [tex]\mu = 3.25[/tex]
The standard deviation is [tex]\sigma = 0.75[/tex]
The sample size is n = 300
Generally the standard error of mean is mathematically represented as
[tex]\sigma_{\= x} = \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]\sigma_{\= x} = \frac{0.75}{\sqrt{300} }[/tex]
=> [tex]\sigma_{\= x} = 0.0433[/tex]
Generally the probability that a random sample of 300 students will have a mean GPA greater than 3.30 is mathematically represented as
[tex]P(X > 3.30) = P(\frac{X - \mu}{\sigma_{\= x}} > \frac{3.30 -3.25}{ 0.0433} )[/tex]
[tex]\frac{\= X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ \= X )[/tex]
[tex]P(X > 3.30) = P(Z> 1.155 )[/tex]
From the z table the probability of (Z > 1.155 ) is
[tex]P(Z> 1.155 ) = 0.12405[/tex]
[tex]P(X > 3.30) = 0.12405[/tex]
Divide. Express your answer in simplest form.
2 1/2 divided by 2 1/6
Answer:
15/13
Step-by-step explanation:
Convert to improper fractions: 5/2 divided by 13/6
Multiply the first term by reciprocal: 5/2 * 6/13 = 30/26
Simplify: 30/26 can become 15/13
[tex] = 2 \frac{1}{2} \div 2 \frac{1}{6} [/tex]
[tex] = \frac{5}{2} \div \frac{13}{6} [/tex]
[tex] = \frac{5}{2} \times \frac{6}{13} [/tex]
[tex] = \frac{30}{26} [/tex]
[tex] = \frac{30 \div 2}{26 \div 2} [/tex]
[tex] = \frac{15}{13} [/tex]
[tex]\color{hotpink} = 1 \frac{2}{13} [/tex]
[tex]\therefore\color{olive}2 \frac{1}{2} \div 2 \frac{1}{6} = \color{hotpink} \frac{15}{13}\color{olive} (or) \color{hotpink}1\frac{2}{3} [/tex]
A committee consists of 8 men and 11 women. In how many ways can a subcommittee of 4 men and 7 women be chosen
Answer:
23100 ways
Step-by-step explanation:
We have 8 men and 11 women
Number of ways of choosing a subcommittee of 4 men and 7 women
8C4 x 11C7
8!/(8-4)!4! x 11!/(11-7)!7!
= 8!/4!4! x 11!/4!7!
= (40320/24*24) x (39916800/24x5040)
= (40320/576) x (39916800/120960)
=70 x 330
= 23100 ways
We can select a subcommittee of 4 men and 7 women in 23100 ways.
Pick two sentences that use ratios to describe the number of eyes and legs in this picture.
"A hippopotamus with 2 eyes and 4 legs and a giant turtle with 2 eyes and 4 legs."
Group of answer choices
The ratio of legs to eyes is 8 to 4.
There are 2 legs for every eye.
There are 4 legs for every 4 eyes.
The ratio of eyes to legs is 8 : 4 .
Answer:
its d
Step-by-step explanation:
Find the ordered pairs for the x- and y-intercepts of the equation 3x − 2y = 18 and select the appropriate option below. (5 points)
The x-intercept is (3, 0); the y-intercept is (0, –2).
The x-intercept is (6, 0); the y-intercept is (0, –9).
The x-intercept is (0, 6); the y-intercept is (–9, 0).
The x-intercept is (0, 3); the y-intercept is (–2, 0).
Answer:
The correct answer is (second option):
The x-intercept is (6, 0); the y-intercept is (0, –9).
Step-by-step explanation:
Intercepts of a real function
Given a function y=f(x), the x-intercepts of f are those values of x that make y=0. The y-intercepts are those values of y that make x=0.
Our function is:
3x - 2y = 18
To find the x-intercept(s), we set y=0:
3x - 2(0) = 18
3x = 18
Solving:
x = 18 / 3 =6
The x-intercept is the point (6,0)
Now for the y-intercept(s), we set x=0:
3(0) - 2y = 18
-2y = 18
Solving:
y = 18 / (-2) = -9
The y-intercept is the point (0,-9)
The correct answer is (second option):
The x-intercept is (6, 0); the y-intercept is (0, –9).
The x-intercept is (6, 0); the y-intercept is (0, –9).
Arthur is building a rectangular sandbox for his son. The area of the sandbox is 17 square feet. If the length of the sandbox is 3 feet, what is the width of the sandbox?
Answer:
17/3 feet
Step-by-step explanation:
Area of a rectangle is length times width
The length is 3, so the width is area over length=17/3
Answer:
The answer is 5 1/4.
Step-by-step explanation:
You have to divide 17 23/32 from 3 3/8 to get 5 1/4. Hope this helps!
5. Kylie is decorating cards with ribbon. She uses 25 centimeters of ribbon on each card. Kylie has 1
meter of ribbon. What is the total number of cards Kylie can decorate? *
Answer:
4
Step-by-step explanation:
Forty-seven students go on a field trip. The students are divided into groups of 6 students. How many groups of 6 will there be?
Answer:
7 kids per group
Step-by-step explanation:
47 students
6 kids per group
47 divided by 6 = 7.83
You can split 1 kid, so round down to a whole number.
7 kids per group
Answer:
47dividedby6equals7.833333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
Step-by-step explanation:
google.
3 1/4 quarts in pints
6.5 pints.
3.25 x 2 = 6.5 (There are 2 pints in a quart)
Find the rate of ounces of water needed for each packet of flavoring
Answer:
24 ounces/ 2 packets = 12 ounces/ packet
Step-by-step explanation:
23 (12 ounces/packet) = 276 ounces of water
The the rate of ounces of water needed for each packet of flavoring would be 12.
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.equation modelling : Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis and results of the given problemGiven is the packets of flavoring added to an specific amount of water to make soup.
Now, for 24 ounces of water, 2 packets of flavoring are needed.
Then, for 1 packet of flavoring, (24/2) or 12 ounces of water is needed.
For 5 packets of flavoring, (12 x 5) or 60 ounces of water is needed.
So, the rate of ounces of water needed for each packet of flavoring would be -
r = (60 - 24)/(5 - 2)
r = 36/3
r = 12
r = 12
Therefore, the the rate of ounces of water needed for each packet of flavoring would be 12.
To solve more questions on functions, expressions and polynomials, visit the link below -
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Can you guys answer this quick please!
A line has a slope of zero.Which of the following points could this line pass through.
A.(12,9) and (12,6)
B.(3,-6) and (7,-6)
C.(1,4) and 2,5
D. -9,7 and 9,-7
Answer:
B. (3,-6) and (7,-6)
Step-by-step explanation:
because when the slope is zero the y's should be the saem, for it's a straight horizontal line.
On a farm there are 50 sheep and a farmer how many feet are there in total
Answer:
200 sheep legs and 2 farmer legs, or 202 legs in total.
Step-by-step explanation:
One sheep has 4 legs. and there are 50 sheep. So, we have to multiply 50*4 to get 200. Then, we have to add the two legs the farmer has. 200 + 2 = 202. Therefore, there are 202 legs on the farm.
3^2 x 5 ÷ 3
1. 16
2. 15
3. 20
4. 12
Answer:
Step-by-step explanation:
9 x 5 ÷ 3
= 45 ÷ 3
= 15
Answer:
2. 15
Step-by-step explanation:
The length of a side of a square is 3x plus 4 ft. If its a perimeter is 100 ft, what is the value of x?
Answer:
x=7
Step-by-step explanation:
4 (3x+4)= 100 ft (Perimeter = sum of all 4 sides)
12x + 16 =100 ft (Multiply length of one side by 4, which is number of side on a square)
12x = 84 (This is what is left after subtracting 16 form both sides of the equation making the equation still true)
x = 7 (84 divided by 7 to let X stand alone and get the value of x)
2/21 into a decimal for pasted do work
Answer:
0.0952381
Step-by-step explanation:
you divide 21 from 2 (2/21)
Sally consumed 2.5 gallons of water in one day. How many milliliters are equal to 2.5 gallons
Answer:
9463.53 milliliters
Step-by-step explanation:
Answer:
9,462.5 option c
Step-by-step explanation: I did this and got 100%
Which of the following is a continuous random variable?
a. The number of goals scored in a hockey game
b. The number of correct answers on a multiple-choice test
c. The heights of children in a preschool
d. The number of houses for sale in a city
Answer:
The correct answer is:
c) The heights of children in a preschool
Step-by-step explanation:
Continuous variables are variables that can take on any value in a measuring series and scale. There is no limit to the possibilities of the data in a continuous variable. In this example, the heights of children can take on an infinite number of values, it may be 0.5m, 0.43m, 0.33m, etc.
Discrete variables, on the other hand, are variables that are obtained by counting. There is a limit to the possibilities that the values in this category can take on. For example, when counting the number of goals in a hockey game, it can be 2 goals, 10 goals 20 goals, but you cannot count 15.5 goals or 22.2 goals, the number is a whole discrete number. Hence options a, b and d are discrete variables.
Consider the expression 5a + (-2b), where a < 0 and b < a.
Is the sum always positive, always negative, or does it vary?
Support your answer.
Answer:
positive
Step-by-step explanation:
Mr. Watson ran 8 miles in 48 mins. How many miles can he run in 60 mins?
I REALLY NEED HELP PLZ!!!
7.5 you just have to divide 60 by 8
Which number has exactly 3 factors?
2-4-6-8
Answer:
4
Step-by-step explanation:
the factors are 1,2,4
A train is traveling at a constant speed and goes 7.5 kilometers in 6 mins. At that rate how far does the train go in 100 mins?
Answer:
125 kilometers
Step-by-step explanation:
7.5/6 = 1.25
1.25 x 100 = 125
20 POINTS AND BRAINLIEST!!!! PLEASE HELP!!!
Explain how the Distributive Property can be used to eliminate the fractions in the equation 15x+8=110x+9.
Answer:
x= -1/95
Step-by-step explanation:
Step 1: Subtract 110x from both sides.
15x+8−110x=110x+9−110x
−95x+8=9
Step 2: Subtract 8 from both sides.
−95x+8−8=9−8
−95x=1
Step 3: Divide both sides by -95.
−95x
−95
=
-1/95
x=
−1/95
Using distributive property the solution of the equation is x= −1/95
What is distributive property?The distributive property states that an expression of the form A(B + C) can be solved by a multiplication over addition operation that is
A(B + C) = AB + AC
This property is known by distributive law and applies to subtraction also.
Given that the equation; 15x + 8 = 110x + 9.
Step 1: Subtract 110x from both sides.
15x + 8 − 110x = 110x + 9 − 110x
−95x + 8 = 9
Step 2: Subtract 8 from both sides;
−95x + 8 − 8 = 9 − 8
−95x = 1
Step 3: Divide both sides by -95;
x= −1/95
Hence, Using distributive property the solution of the equation is x= −1/95
Learn more about the distributive property here;
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Find the value of x.
Answer:plug in all the numbers and equal them to 180. The rest is just simple math
Step-by-step explanation:
(2 1/3 x+7)−( 2/3 x+5)
Answer:
=19/3x+2
Step-by-step explanation:
