The common denominator between both the numbers is = 5.
What are numbers?A number is a fundamental building block of mathematics.
Numbers are used for indexing, counting, measuring, and a variety of other tasks.
According to their characteristics, there are various sorts of numbers, including natural numbers, whole numbers, rational and irrational numbers, integers, real numbers, complex numbers, even and odd numbers, etc.
The resultant number can be calculated by using the fundamental arithmetic operations for integers.
Tally marks were formerly used before numbers.
Numbers are a crucial aspect of our daily lives, from the number of rounds we run around the race track to the number of hours we sleep at night, and much more.
According to our question-
A.The reciprocal of 18/5
=5/18
5/18*27/5
135/90
B.18/5*5/18
90/90
1
C.3/2 reciprocal=2/3
2/3*3/2
1
Hence, The common denominator between both the numbers is = 5.
learn more about numbers click here:
https://brainly.com/question/17200227
#SPJ1
1,2,3,4,5 what is probability that an even number will be chosen?
Answer:
Step-by-step explanation:
step 1
100%/the total number = percent for one probability
100/5 = 20%
2 and 4 is even.
total even number * percent for one probability = total percent for even number
20% * 2 = 40%
therefore total even number is 40%
The probability is:
2/5Step-by-step explanation:
Remember the formula for probability:
\(\boxed{\!\!\boxed{\bold{Probability=\frac{Favourable~outcome}{total~outcomes}\quad}}\!\!}\)
In this case, the favourable outcome (an even number) is 2, because there are only 2 even numbers in the set.
As for the total outcomes, there are 5 of them, because we have 5 numbers total.
So the probability of choosing an even number is 2/5.
Find the mystery number. It is a common multiple of 2,5 and 7. It has 3 digits. The sum of the digits is 10. The number is less than 500
The number is 280
In mathematics, Least Common Multiple is referred to by its entire name, whereas Highest Common Factor is its complete name. The L.C.M. defines the least number that is exactly divisible by two or more numbers, whereas the H.C.F. describes the biggest factor existing between any given pair of two or more numbers. LCM is also known as the Least Common Multiple (LCM), and HCF is also known as the Greatest Common Factor (GCF).
Two key techniques—the division method and the prime factorization approach—can be used to determine H.C.F. and L.C.M.
So we need to find the LCM of 2,5 and 7. Furthermore, we need to find multiply the LCM with a number which can make its sum of digits equal to 10.
LCM of 2,5 and 7 is 70
70 x 4 = 280
Sum of digits of 280 is 10, which is also less than 500
To learn more about HCF and LCM , refer to https://brainly.com/question/26431349
#SPJ9
The diagram shows a hexagon-shaped tile used for flooring. Each hexagon tile has an area of 18V3 in? Find x.
Select the graph for the solution of the open sentence. Click until the correct graph appears. |x| + 3 > 3
The correct graph of the inequality ( |x| + 3 > 3) is attached accordingly.
Here is how the above was solvedRecall that the absolute value (or modulus) of a real number x is its non-negative value regardless of its sign. For example, 5 has an absolute value of 5, and 5 has an absolute value of 5.
A number's absolute value can be conceived of as its distance from zero along the real number line.
So, given |x| + 3 > 3
Add minus three to both sides
|x| + 3 + (-3) > 3 + (-3)
|x| > 0
Thus, the absolute value of x is
x > 0 or x < -0
put in the form of inequality, we have
x > 0 or x < 0
Learn more about absolute value;
https://brainly.com/question/20383699
#SPJ1
Is 44 a perfect square?
Answer:
yes
Step-by-step explanation:
it's amazing, beautiful, incredible, show stopping, ect.
8 Annexure A RESEARCH TOOL: CAMPAIGN(S) IN THE COMMUNITY Name of a campaign: Position of the interviewee(s) at the Centre: ** Respond to the following questions/statements by placing a tick (✓) where appropriate and also by filling in the spaces below. 1. Does the Campaign pursue it's aims? YES/NO Elaborate
In the provided text is a questionnaire or form related to a research tool for assessing a campaign in the community.
The first question asks whether the campaign pursues its aims, with the options of answering "YES" or "NO." The respondent is then instructed to elaborate on their answer.
What is a questionnaire?A questionnaire is a research tool used to collect data by presenting a series of questions to respondents,typically in a written format.
Questionnaires are an important research tool as they allow researchers to gather large amounts of data from a large number of participants in a standardized and efficient manner.
They provide a structured approach to collecting information,allowing for easy analysis and comparison of responses.
Questionnaires can be used in various research settings and are particularly useful for collecting quantitative data,measuring attitudes, opinions, behaviors, and gathering demographic information.
Learn more about Research Tool at:
https://brainly.com/question/28982692
#SPJ1
You are buying a new car. There are 7 body styles, 3 colors, and 7 models. How many different choices of car are there?
Answer:
147 different choices.
Step-by-step explanation:
(7)(3)(7) = 147
Hope this helps
please answer fully///////////////
Answer:
14
Step-by-step explanation:
(4+(16-1)/5)*2
(4+15/5)*2
(4+3)*2
7*2
14
what is the variable "d" equal to in the equation 2d + 13
Answer:
d=-6.5
Step-by-step explanation:
2d+13=0
2d=-13
d= -13/2
d=-6.5
At a local health centre two doctors were on duty in the weekend. Dr. Makaila spent 91 minutes to consult 7
patients and Dr. Andrea spent 72 minutes to consult 6 patients. Which doctor spent the longest time with
patients, on average; and how much time did they spend with patients, on average?
Doctor
spent the longest time with patients. They spent
minutes
with their patients, on average.
Answer:
makaila
Step-by-step explanation:
1350 + 100 - 399 ......
Answer:
1,051
Step-by-step explanation:
1350 + 100 = 14501450 - 399 = 1051I hope this helps!
Answer:
1051
Step-by-step explanation:
1350+100-399
1051
The water usage at a car wash is modeled by the equation W(x) = 5x3 + 9x2 − 14x + 9, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. The amount of decrease in water used is modeled by D(x) = x3 + 2x2 + 15, where D is the amount of water in cubic feet and x is time in hours. Write a function, C(x), to model the water used by the car wash on a shorter day. C(x) = 5x3 + 7x2 − 14x − 6 C(x) = 4x3 + 7x2 − 14x + 6 C(x) = 4x3 + 7x2 − 14x − 6 C(x) = 5x3 + 7x2 − 14x + 6
0=-16r^2-50
algebra question
\(r=\frac{5i\sqrt{2} }{4}, -\frac{5i\sqrt{2} }{4}\) or simply just say ± \(\frac{5i\sqrt{2} }{4}\).
Hope this helps!
Answer:
\(r=\dfrac{5\sqrt{2}}{4}}\:i\:,\quad \;\;r=-\dfrac{5\sqrt{2}}{4}}\:i\)
Step-by-step explanation:
To solve the given equation, rearrange the equation to isolate r.
Given equation:
\(0=-16r^2-50\)
Add 16r² to both sides of the equation:
\(0+16r^2=-16r^2-50+16r^2\)
\(16r^2=-50\)
Divide both sides of the equation by 16:
\(\dfrac{16r^2}{16}=\dfrac{-50}{16}\)
\(r^2=-\dfrac{25}{8}\)
\(\textsf{For\;\:}x^2=f\left(a\right)\textsf{\:the\:solutions\:are\:\:}x=\pm\sqrt{f\left(a\right)}\)
\(r=\pm\sqrt{-\dfrac{25}{8}}\)
\(\textsf{Apply\;the\:radical\:rule:}\;\:\sqrt{-a}=\sqrt{a}\sqrt{-1}\)
\(r=\pm\sqrt{\dfrac{25}{8}}\sqrt{ -1}\)
\(\textsf{Apply\;the\:imaginary\:number\:rule:}\;\:\sqrt{-1}=i\)
\(r=\pm\sqrt{\dfrac{25}{8}}\:i\)
\(\textsf{Apply\;the\:radical\:rule:}\:\:\sqrt{\dfrac{a}{b}}=\dfrac{\sqrt{a}}{\sqrt{b}},\:\quad \:a\ge 0,\:b\ge 0\)
\(r=\pm\dfrac{\sqrt{25}}{\sqrt{8}}\:i\)
Simplify the numerator and denominator of the fraction:
\(r=\pm\dfrac{5}{2\sqrt{2}}\:i\)
Rationalise the denominator by multiply the numerator and denominator by √2:
\(r=\pm\dfrac{5\cdot\sqrt{2}}{2\sqrt{2}\cdot \sqrt{2}}\:i\)
\(r=\pm\dfrac{5\sqrt{2}}{4}}\:i\)
Therefore, the solutions to the given equation are:
\(r=\dfrac{5\sqrt{2}}{4}}\:i\:,\quad \;\;r=-\dfrac{5\sqrt{2}}{4}}\:i\)
the length of a rectangle is four times it's width.if the perimeter is 70cm. Calculate the length and area of the rectangle
Answer:
length=28 cm
the area = 196 cm²
Step-by-step explanation:
length = 4 × width
2×(4w+w) = 70
2×5w=70
10w=70
w= 7 cm
length = 4×7 = 28 cm
the area = 28 ×7 = 196 cm²
A fish swims 4 feet directly above a scuba diver. The fish suddenly dives to double its depth under the surface of the ocean. The fish dives to a depth of −34 feet.
What is the position of the scuba diver relative to sea level?Choose from the drop-down menu to correctly complete the statement.
The scuba diver is
Choose... 13,21,64,72
feet
Choose... above or below
sea level.
Answer:
21 above is the answer
Step-by-step explanation:
A. y - 1/2x+10
B. y = 2x+ 13
C. y = -2x-5
D.y-1/2x+8
Answer: B. y = 2x+ 13
Step-by-step explanation:
A car traveled at a constant speed for 4 hours and covered 144.6 miles. It used 12 gallons of gas to travel this distance. How far did the car go in 1 hour? How far did the car travel on 1 gallon of gas? The car traveled miles in 1 hour. The car traveled miles on 1 gallon of gas.
Answer:
36.15 miles, 12.05 miles on one gallon
Step-by-step explanation:
4hours=144.6 miles
1 hour= x
Therefore it traveled 36.15 miles per hour.
12 gallon = 144.6 miles.
1 gallon = x
12.05 miles on one gallon
In a function, the relationship between the dependent and independent variables is represented by a/an________________.
In a function, the relationship between the dependent and independent variables is represented by a "mathematical rule or equation". This rule defines how the value of the dependent variable changes based on the value of the independent variable.
The mathematical representation of this relationship is typically expressed as y = f(x), where "y" represents the dependent variable, "x" represents the independent variable, and "f" denotes the function.
The function provides a systematic way to determine the value of the dependent variable for any given value of the independent variable. It establishes a mapping between the two variables, where each input value of the independent variable corresponds to a unique output value of the dependent variable.
The function can take various forms, such as linear, quadratic, exponential, logarithmic, or trigonometric, depending on the nature of the relationship between the variables.
Functions play a fundamental role in mathematics, science, and various fields of study. They allow us to analyze and model real-world phenomena, make predictions, and understand the behavior of systems.
By examining the function's properties, such as its slope, intercepts, and shape, we can gain insights into how the dependent variable changes in response to changes in the independent variable.
For more such questions on dependent variable
https://brainly.com/question/25223322
#SPJ8
solve as a fraction -2 1/3 - (-5) = ?
Answer:
-2 1/3 - (-5) = -2 1/3 + 5
To add these two numbers, we need to find a common denominator. The common denominator of 3 and 1 is 3.
-2 1/3 can be written as -7/3 using the rule that a mixed number is equal to the sum of the whole number and the fraction.
So, we have:
-7/3 + 5
To add these two fractions, we need to find a common denominator. The common denominator of 3 and 1 is 3.
-7/3 can be written as -7/3 x 1/1 = -7/3.
So, we have:
-7/3 + 15/3 = 8/3
Therefore, -2 1/3 - (-5) = 8/3.
“Find the values of x and y when the smaller triangle here has the given area! “
I'm really confused can someone just show me how to complete one of these problems? I just need one example not all of them, thank you!!!
A bowl contained 59.16 grams of salt. Then, Omar poured in another 13.2 grams. How much salt does the bowl contain now?
Answer: 72.36
Step-by-step explanation:
To find the total amount of salt in the bowl after Omar poured 13.2 grams, we need to add the initial amount of salt in the bowl to the amount of salt Omar added.
The initial amount of salt in the bowl was 59.16 grams.
Omar added 13.2 grams of salt to the bowl.
To find the total amount of salt in the bowl now, we add these two amounts: 59.16 + 13.2 = 72.36
Therefore, the bowl contains 72.36 grams of salt now.
Fill in the missing numbers below.
5 feet + 12 inches = blank
yard(s)
Blank inches = 1 foot + 1 yard
Blank feet = 3 feet + 24 inches
Answer:
5 feet + 12 inches = 2 yards
48 inches = 1 foot + 1 yard
5 feet = 3 feet + 24 inches
Step-by-step explanation:
To help solve these equations, you must know how to convert feet to inches, inches to yards, etc. Use the information below:
1 feet = 12 inches
3 feet = 1 yard
To solve 5 feet + 12 inches = blank yard(s), convert 5 feet & 12 inches to yards. Since 5 feet would be complicated to convert, let's convert 12 inches to feet first.
12 inches = 1 feet
Instead of 12 inches, we can substitute it as 5 feet + 1 feet = blank yard(s). That would be 6 feet = ? yards. 3 feet = 1 yard, which tells us we must divide both sides by 3. Thus, 5 feet + 12 inches = 2 yards.
Blank inches = 1 foot + 1 yard
To find the # of inches in a yard, you must first know that 3 feet = 1 yard. If there are 12 inches in a foot, we must multiply 3 by 12, getting us 36. You add 12 inches (1 foot), getting us 48 inches in total. Thus 48 inches = 1 foot + 1 yard.
Blank feet = 3 feet + 24 inches
Since 3 feet is already feet, we do not need to convert it. If 12 inches is 1 foot, we must divide 24 inches by 12. So, there is 2 feet in 24 inches. 2 + 3 is 5. Thus, 5 feet = 3 feet +24 inches.
Please help me with this question:)!
Answer:
i think so option b is the correct option.
Step-by-step explanation:
because 3+7=10 not 11.
What is the answer to 7x-7=12x+13
Answer:
x = − 4
Step-by-step explanation:
Answer:
x = -4
Step-by-step explanation:
First, add 7 to both sides:
7x - 7= 12x + 13
7x = 12x + 20
Subtract 12x from both sides:
-5x = 20
Divide each side by -5:
x = -4
So, the answer is x = -4
This diagram is a scale drawing of a store. To the nearest 50 square feet, what is the area of the actual store
Answer:
2500 ft²
Step-by-step explanation:
The missing area at lower right in the diagram has dimensions ...
(4 -2 1/4) by (3 -1 3/4) = (1 3/4) by (1 1/4)
Then the area of that "missing" space is ...
(1.75)(1.25) = 2.1875 . . . . square inches.
The area of the enclosing rectangle is ...
(4 in)(3 in) = 12 square inches
Then the area in the diagram representing the store is ...
12 in² -2.1875 in² = 9.8125 in²
__
Each square inch on the diagram represents an actual area of ...
(1 in)×(1 in) ⇒ (16 ft)×(16 ft) = 256 ft²
Then the actual store area is ...
9.8125(256 ft²) = 2512 ft²
Rounded to the nearest 50 ft², this is 2500 ft².
find the slope and y-intercept of the line x+y=-10
slope:
y-intercept:
Answer:
re arranging the equation
y = -x-10
the slope is -1
and the intercept is -10
Final Answer:
slope: 1y-intercept: -10In-depth explanation:
Hi! The question is asking us to find the slope & the y-intercept of the following line:
\(\bf{x+y=-10}\)First, we will rearrange this equation and write it in slope-intercept form.
Subtract x from both sides:
\(\bf{y=-10-x}\)
You can also rearrange the terms, like this:
\(\bf{y=-x-10}\)
_____________________
Now, what is the slope and y-intercept of this line? To find the slope, we recall that the slope is the number before x. In this case it's 1.
As for the y-intercept, it's the constant term, or -10 in this case.
Can someone please help
Answers:
Lateral Area = No lateral area (choice D)Surface Area = 25.97 square inches (choice E)Volume = 12.44 cubic inches (choice A)============================================
Explanation:
Lateral area only applies to prisms and cylinders. Spheres do not have lateral sides, so there is no lateral area.
-----------------------
The radius is 1 & 7/16
Let's convert this to decimal form
1 & 7/16 = 1 + (7/16)
1 & 7/16 = 1 + 0.4375
1 & 7/16 = 1.4375
The radius is r = 1.4375 inches.
-----------------------
SA = Surface area the sphere
SA = 4*pi*r^2
SA = 4*pi*(1.4375)^2
SA = 25.9672267773281
SA = 25.97 square inches (choice E)
-----------------------
V = Volume of the sphere
V = (4/3)*pi*r^3
V = (4/3)*pi*(1.4375)^3
V = 12.4426294974698
V = 12.44 cubic inches (choice A)
At a local play production, 490 tickets were sold. The ticket prices varied on the seating arrangements and cost $8, $10, or $12. The total income from ticket sales reached $4600. If the combined number of $8 and $10 priced tickets sold was 6 times the number of $12 tickets sold, how many tickets of each type were sold?
PRICES COUNTS COSTS
8 e 8e
10 420-e-t 10(420-e-t)
12 t 12t
420 3920
system%28e%2B420-e-t=5t%2C8e%2B10%28420-e-t%29%2B12t=3920%29
First equation gives highlight%28t=70%29.
Second equation simplifies to e-t=140.
Substitution gives highlight%28e=210%29.
Quantity of $10 tickets by difference, highlight%28140%29
Of the eggs produced by salmon,80% hatch, and of those, 25% survive to migrate to the ocean. How many eggs are needed to produce 100 salmon that migrate to the ocean?
Answer:
500 eggs are needed
Step-by-step explanation:
so 1/4 or the 80 percent make it to the ocean so 20 percent of total salmon make it to the ocean.
so total number of eggs x
1/5x=100
x=500
if my answer helps please mark as brainliest.
Answer:
Step-by-step explanation:
25% of (80% of eggs) = 0.25 × 0.80 × eggs = 100
Eggs = 100/(0.25 × 0.80) = 500
500 eggs are needed to produce 100 salmon.
Which property was used to simplify the expression?
O distributive property
O commutative property
O associative property
O inverse property
4(b+2)=4b+8
The expression is
4(b+2)=4b+8See
4(b)+4(2)4b+8Its distributive property which states that
a(b+c)=ab+acOption A