write the sentence as a proportion
5 is to 7 as 15 is to X
9 is to 3 as X is to 12
g is to 9 as 16 is to 12
6 is to 18 as y is to 3
Chords AC and BD intersect at the center of circle ABCD. If the length of CP = 8, which is the length of PB?
B. if the two surge protectors are arranged in parallel, what is the probability that a voltage surge will not damage the television?
Thad and his four family members are going to the fair. Admission to the fair costs $8. Books of ride tickets are $15. THad has 200$. How much will he have for food and souvenirs?
Part 1: Define your variables and write an inequality that models the situatio.
Part 2: After paying for all family members to get into the fair, Thad buys books of ride tickets for 3 of them. Use the in equality from Part 1 to solve for the amount of money Thad has left for food and souvenirs. Show your work.
Answer:
Given,
Total number of members = 5,
Also, admission to the fair costs $8,
So, the total fair cost = $ 40
Part A: Let x represents the number of people who ride, and y represents the amount ( in dollars ) needed for food and souvenirs,
Since, ride cost for each person = $ 15,
So, the total ride cost = 15x dollars,
Thus, the total spending = ( 40 +15x + y ) dollars
According to the question,
The budget is of $ 200,
That is, total spending can not exceed $ 200,
⇒ 40 +15x + y ≤ 200
⇒ 15x + y ≤ 160
Which is the required inequality that represents the given situation,
Part B : If x = 3
15(3) + y ≤ 160
45 + y ≤ 160
y ≤ 115
Hence, $ 115 would left for food and souvenirs.
A weather forecast predicts that the temperature in antarctica will decrease 8 degrees fahrenheit each hour for the next 6 hours. write and solve an inequality to determine how many hours it will take for the temperature to drop at least 36 degrees fahrenheit
It will take at least 5 hours for the temperature to drop by 36 degrees Fahrenheit.
To determine how many hours it will take for the temperature in Antarctica to drop at least 36 degrees Fahrenheit, you can set up an inequality. Let's call the number of hours it takes for the temperature to drop x.
Given that the temperature decreases 8 degrees Fahrenheit each hour, you can represent the temperature drop as:
8x
Now, you want this temperature drop to be at least 36 degrees Fahrenheit, so you can write the inequality:
8x ≥ 36
To solve for x, divide both sides of the inequality by 8:
x ≥ 36 / 8
x ≥ 4.5
So, it will take at least 4.5 hours for the temperature in Antarctica to drop by at least 36 degrees Fahrenheit.
Since time is typically measured in whole hours, it will take at least 5 hours for the temperature to drop by 36 degrees Fahrenheit.
Learn more about Inequality click;
https://brainly.com/question/20383699
#SPJ12
It will take at least 4.5 hours for the temperature in Antarctica to drop at least 36 degrees Fahrenheit.
Explanation:To determine how many hours it will take for the temperature in Antarctica to drop at least 36 degrees Fahrenheit, we can write and solve an inequality:
Let x be the number of hours it takes for the temperature to drop.
The temperature decreases 8 degrees Fahrenheit each hour for the next 6 hours:
8x ≥ 36
Divide both sides of the inequality by 8:
x ≥ 4.5
Therefore, it will take at least 4.5 hours for the temperature to drop at least 36 degrees Fahrenheit.
The information below represents the cost of Cody's home ownership. What is his average monthly expenditure related to his home?
mortgage $1,255 per month
● taxes $2,881 per year
● insurance $156 per month
● HOA fees $320 per year
● utilities $475 per month
Answer:
Cody's average monthly expenditure related to his home is $2,152.75
Step-by-step explanation:
Since the question is asked for monthly expenditure. Thus our first work is to convert all given expenditure for per monthly.
Mortgage = $1,255
Taxes = $240.08
Insurance = $156
HOA fees = $26.67
Utilities = $475
Thus, Cody's average monthly expenditure related to his home is: 1,255 + 240.08 + 156 + 26.67 + 475 = $2,152.75
A ball is dropped from a height of 10 meters. Each time it bounces, it reaches 50 percent of its previous height. The total vertical distance the ball has traveled when it hits the ground the fifth time is meters.
If a data set has an even number of data, is it true or false that the median is never equal to a value in the data set? explain.
The median is never equal to a value in the data set when the data set has an even number of data points.
The statement is true - if a data set has an even number of data points, the median will never be equal to a value in the data set. The median is the middle value in an ordered set of data. When there is an even number of points, there are two middle values, so the median is the average of those two values.
For example, if we have the data set (2, 4, 6, 8), the median would be (4 + 6)/2 = 5. As you can see, the median is not equal to any of the values in the data set.
In conclusion, the median is never equal to a value in the data set when the data set has an even number of data points.
Learn more about Median here:https://brainly.com/question/32773662
#SPJ3
Find four consecutive even integers such that if the sum of the first and the third is multiplied by 5 the result is 12 less than 9 times the fourth
Zach is 23 years old. Zach's age is 3 years older than twice Maya's age. Let m represent Maya's age.
Which equation can be used to solve for Maya's age?
23 = 2m + 3
23 = 3m + 2
23 = m + 3
23 = 2m
Answer:
The correct option is A) [tex]23=2m+3[/tex].
Step-by-step explanation:
Consider the provided information.
Zach is 23 years old. Zach's age is 3 years older than twice Maya's age.
Let m represent Maya's age.
Twice of Maya's age can be written as:
[tex]2m[/tex]
3 years older than twice Maya's age can be written as:
[tex]2m+3[/tex]
It is given that Zach is 23 years old and Zach's age is 3 years older than twice Maya's age.
Thus, the above expression equal to 23.
[tex]23=2m+3[/tex]
Hence, the correct option is A) [tex]23=2m+3[/tex].
What is the measure of angle ABD in trapezoid ABCD?
A. 24°
B. 40°
C. 64°
D. 92°
Answer:
The answer is B.40
Step-by-step explanation:
What is the relationship between 5.34×105 and 5.34×10−2 ?
Answer:
5.34×105 and 5.34×10−2
Step-by-step explanation:
the first is greater than the scoend and the second is less then
Point M is the midpoint of AB. What are the coordinates of B if A is (-8, 3) and if M is (-4, 2).
John and Mary Billings own a condominium with an acid value of 110000 if the tax rate is 25 meals per dollar off the valuation how much tax do they pay
The product of numbers on the diagonal when comparing two ratios
What is the conversion factor used to convert inches to yards a.12 inches in 1 yard b.24 inches in 1 yard c.3inches in 1 yard d.36 inches in 1 yard
The conversion-factor used to convert inches to yards is : (d) 36 inches in 1 yard.
This means that for every 36 inches, there is 1 yard. By dividing the number of inches by 36, you can obtain the equivalent length in yards.
Conversion-Factors are ratios that express the relationship between different units of measurement.
In this case, using the conversion factor of 36 inches in 1 yard allows for a direct-conversion from inches to yards. It is derived from the information that there are 12 inches in a foot and 3 feet in a yard, giving a total of 36 inches in 1 yard.
Therefore, the correct option is (d).
Learn more about Conversion Factor here
https://brainly.com/question/175066
#SPJ6
The given question is incomplete, the complete question is
What is the conversion factor used to convert inches to yards
(a) 12 inches in 1 yard,
(b) 24 inches in 1 yard,
(c) 3 inches in 1 yard,
(d) 36 inches in 1 yard.
WILL GIVE 20 POINTS
Write the expression 44(4–7)(4) using a single exponent.
A) 4^–28
B) 4^–4
C) 4^–3
D) 4^–2
Answer:
D) 4^-2
Step-by-step explanation:
Given: 4^4*4^-7*4
If the base is the same, we can add the powers.
a^m * a^n = a^(m + n)
4^4*4^-7*4 = 4^(4 - 7 + 1)
= 4^(5 - 7)
= 4^-2
Answer: D) 4^-2
Hope this will helpful.
Thank you.
Which parking lot is less expensive if Mr. Lujan returns after 2 days and 3 hours?
explain how you can use a straightedge and a protractor to show that each angle you formed by a bisector is one-half the original angle
Shaylee is determining if 6 is the solution to the equation.
42 ÷ w = 7 for w = 6
First, Shaylee must substitute ( ) for ( ).
To simplify, Shaylee must divide ( ) by ( ) .
First, Shaylee must substitute (6) for (w)
To simplify,Shaylee must divide (42) by(6)
:)
6 is the solution of the equation 42 ÷ w = 7.
What is Division?A division is a process of splitting a specific amount into equal parts.
Given that Shaylee is determining if 6 is the solution to the equation
42 ÷ w = 7 for w = 6
Forty two divided by w equal to seven for w equal to six.
First, Shaylee must substitute 6 for w.
To simplify, Shaylee must divide 42 by 6
42/6=7
So 6 is the solution of the equation.
Hence, 6 is the solution of the equation 42 ÷ w = 7.
To learn more on Division click:
https://brainly.com/question/21416852
#SPJ3
Destiny combines 6.42 liters of red paint with 6.87 liters of blue paint to make purple paint. she pours the paint equally into 3 containers, and has 2.64 liters of paint left over. how many liters of paint are in each container?
Quantity of paint in each container will be 3.55 liters
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Quantity of red paint = 6.42 liters
Quantity of blue paint = 6.87 liters
And, she pours the paint equally into 3 containers, and has 2.64 liters of paint left over.
Now,
Total quantity of paint = 6.42 + 6.87
= 13.29 liters
Thus, The quantity in each container = 13.29 - 2.64 / 3
= 10.65 / 3
= 3.55 liters.
Therefore, Quantity of paint in each container will be 3.55 liters
Learn more about the division method visit:
https://brainly.com/question/917110
#SPJ5
This diagram of airport runway intersections shows two parallel runways. A taxi way crosses both runways. How are 6 and 2 related?
a)corresponding angles
b) alternate interior angles
c)same side interior angles
d) none of these
Explain how knowing 5 divided by 8 = 0.625 helps you write the decimal for 4 5/8
how is the decimal 2.4 written as a mixed number in its simplest form
The mixed number in their simplest form can be represented as
[tex]2\dfrac{2}{5}[/tex]
What are real numbers?Real numbers are defined as the value of a continuous quantity that can represent a distance along a line a real number in mathematics. Rational and irrational numbers are both real numbers. Rational numbers such as integers (-7, 0, 4), fractions(5/2,7/2, 4.2), and irrational numbers such as √5, π, etc., are all real numbers.
we have to determine the decimal 2.4 written as a mixed number in its simplest form.
Given that the decimal as:
⇒ 2.4
⇒ 2 + 0.4
Convert decimals into a fraction.
⇒ 2 + 4/10
⇒ 2 + 2/5
Thus, mixed number in their simplest form is
[tex]2\dfrac{2}{5}[/tex]
Learn more about the Numbers here :
brainly.com/question/17429689
#SPJ2
What is the product written in scientific notation? (5.91×10^−3)⋅(8.7×10^10)
a) 14.61 × 10^−30
b) 5.1417 × 10^8
c) 14.61 × 10^7
d) 5.1417 × 10^7
The product written in scientific notation will be; 5.1417 × 10^8
How do scientific notations work?Scientific notations have some of the profits as Better readability due to compact representation. Its value in terms of the power of 10 is known, which helps in the easy comparison of quantities differing by a large value.
We have been given that (5.91 × [tex]10^{-3}[/tex])⋅(8.7 × [tex]10^{10}[/tex])
Required to find the product written in scientific notation;
(5.91 × [tex]10^{-3}[/tex])⋅(8.7 × [tex]10^{10}[/tex])
(5.91 x 8.7) ( [tex]10^{-3}[/tex]× [tex]10^{10}[/tex])
51.417 × [tex]10^7[/tex]
which is the same as; 5.1417 × [tex]10^8[/tex]
Hence, the product written in scientific notation will be; 5.1417 × [tex]10^8[/tex]
Learn more about scientific notation here:
https://brainly.com/question/3112062
#SPJ5
Consider 7 x 10 to the third power. Write a pattern to find the value of the expression
Arrange the complex numbers in order according to the quadrant in which they appear, starting with the first quadrant.
1. 3 − 4i
2. -1 − 3i
3. 4 + i
4. -2 + 2i
Answer:
The previous answer was correct
Step-by-step explanation:
What property of multiplication do we use to find equivalent fractions?
The equivalent fractions for 2/3 are 6/9, 10/15, and 12/18; the multiplicative identity is a feature of multiplication which is used to find equivalent fractions.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
Given that 2/3 by multiplying by 3/3, 5/5, and 6/6.
= (2/3)(3/3)
= 6/9
= (2/3)(5/5)
= 10/15
= (2/3)(6/6)
= 12/18
The multiplicative identity is a feature of multiplication which is used to find the equivalent fractions.
Hence, the equivalent fractions for 2/3 are 6/9, 10/15, and 12/18; the multiplicative identity is a feature of multiplication which is used to find equivalent fractions.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ5
"More than 60% of the students scored below the mean on the last test." Can this statement be true? Why or why not?
Form the intersection for the following sets.
R = {10, 15, 20}
S = {20, 25}
R ∩ S =
A.{ }
B.{10, 15, 25}
C.{20}
D.{10, 15, 20, 25}