Answers
Question 1: Option B: [tex]\frac{10}{14}=\frac{5}{7}[/tex]
Question 2: Option C: [tex]\frac{12}{18}=\frac{4}{6}[/tex]
Solution:
Question 1:
Given ratio is [tex]\frac{10}{14}[/tex].
To find the equivalent ratio of [tex]\frac{10}{14}[/tex].
10 and 14 have the common factor 2.
So divide both numerator and denominator by the common factor 2.
[tex]$\frac{10}{14}=\frac{10\div2}{14\div 2}[/tex]
[tex]$=\frac{5}{7}[/tex]
[tex]$\frac{10}{14}=\frac{5}{7}[/tex]
Hence option B is the correct answer.
Question 2:
Given ratio is [tex]\frac{10}{14}[/tex].
To find the equivalent ratio of [tex]\frac{12}{18}[/tex].
12 and 18 have the common factor 3.
So divide both numerator and denominator by the common factor 3.
[tex]$\frac{12}{18}=\frac{12\div3}{18\div 3}[/tex]
[tex]$=\frac{4}{6}[/tex]
[tex]$\frac{12}{18}=\frac{4}{6}[/tex]
Hence option C is the correct answer.
Related Questions
What is square root of 42 to the nearest tenth
Answers
Answer: 6.48 or 6.5 rounded up!
Step-by-step explanation: hope i can help please give brainliest!
just try my answer its
6.48 or 6.5 rounded up!
Gradpoint-What is the value of y?
25
35
50
100
Answers
Answer:
35
Step-by-step explanation:
60 x 70 ÷ 50 yyyyyygsgsgsvsvshsh
Three persons EB and C work together on a job and finish it finish it in 18 days if E and be working together can finish the job in 45 days find how long C working alone would take to complete it
Answers
Answer: 30 days
Step-by-step explanation:
Working together, E & B get 1/45 of the job done per day
Working alone, C gets 1/x of the job done per day
Working together, E, B, & C get 1/18 of the job done per day.
[tex]EB:\dfrac{1}{45}\qquad C: \dfrac{1}{x}\qquad EBC:\dfrac{1}{18}\\\\\\\\EB+C=EBC\\\\ \dfrac{1}{45}\ +\dfrac{1}{x}=\dfrac{1}{18}\\\\\\(45\cdot 18\cdot x)\bigg(\dfrac{1}{45}+\dfrac{1}{x}=\dfrac{1}{18}\bigg)\\\\\\.\qquad \qquad 18x+810=45x\\\\.\qquad \qquad \qquad 810=27x\\\\.\qquad\qquad \qquad \large\boxed{30=x}[/tex]
What is the slope of the line that passes through the points (4, -2) and (24, -17)?
Write your answer in simplest form.
Answers
-3/4
EXPLANATION
rise over run.
(Rise is the y value)
From -2 to -17 is -15
From 4 to 24 is 20
Therefore the slops is -15/20
please help me on this
Answers
Answer:
mean= 15.16
2/53
Step-by-step explanation:
addition of all the figures plus the next student divided by 6
a line goes through the points. (3,-5) and (5,-1)
Answers
Answer:
9+10 equals 21
Step-by-step explanation:
Just bc im big brain
how to write 137% as a fraction and decimal
Answers
Answer: 1.37 and 137/100
Step-by-step explanation:
hope this help make me brainliest plest thanks
Final answer:
137% can be written as the fraction 137/100, which is already simplified. To convert 137% to a decimal, divide 137 by 100 to get the decimal 1.37.
Explanation:
To write 137% as a fraction, you should consider that percent means 'per hundred.' Therefore, 137% can be written as a fraction with a denominator of 100: 137/100, which is already in its simplest form.
To express 137% as a decimal, you divide the numerator by the denominator. In this case, you would divide 137 by 100. This gives you the decimal 1.37, which is the decimal equivalent of 137%.
Understanding these conversions is crucial when working with percentages, and they can often simplify calculations in various mathematical problems.
I need help with this question
Answers
The answers are 15 guests, 7 tables, 24 guests, and 10 tables respectively.
Step-by-step explanation:
Step 1: Find relation between the number of tables and guests. Given that for every 6 guests, Maya uses 2 tables.2 tables ⇒ 6 guests
1 table ⇒ 6/2 = 3 guests
Step 2: Find number of guests for 5 tables.5 tables = 5 × 3 = 15 guests
Step 3: Find number of tables for 21 guests.Number of tables = 21/3 = 7 tables
Step 4: Find number of guests for 8 tables.Number of guests = 8 × 3 = 24 guests
Step 5: Find number of tables for 30 guests.Number of tables = 30/3 = 10 tables
Angles 1 and 3 are directly across from each other.
They are called vertical angles. They share only a
vertex. They always measure the same. Therefore,
if angle 1 measures 27 degrees, angle 3 will
measure
degrees.
Answers
The measure of angle 3 is 27 degrees.
Step-by-step explanation:
The angles 1 and 3 are vertical angles and share same vertex.Therefore, the measure of the angle 1 and angle 3 are equal.Given,
angle 1 = 27°
Since angle 3 is same as angle 1, the measure of angle 3 is also 27 degrees
angle 3 = 27°.
there i s 15 boys and 13 girls what is the probability that she will pick a boy
Answers
Answer:
54% or 15/28
Step-by-step explanation:
You find the sum of 15 and 13 to get 28. 15/28 = 53.5 If you round you get 54%.
Order the numbers from least to greatest 3\7,0.44,42%
Answers
Answer:
42%, 3/7, .44
Step-by-step explanation:
what i would do is turn them all into decimals
3/7 is .4285
.44 is already a decimal
42% is .42
Kiran and 3 of his friends are going to split the lunch bill of $24.48 how much will each person pay
Answers
To split a $24.48 lunch bill between Kiran and 3 friends ,,divide the total by 4, resulting in each person paying $6.12.
Kiran and 3 of his friends want to split the lunch bill of $24.48 evenly. Since there are 4 people in total, we simply divide the total bill by 4 to find out how much each person will pay. Here's the step-by-step calculation:
Find the total number of people: 1 (Kiran) + 3 friends = 4 people.Divide the total bill by the number of people: $24.48 ÷ 4.Perform the division to find the amount per person: $24.48 ÷ 4 = $6.12.Therefore, each person will pay $6.12 to split the lunch bill of $24.48 equally.
-5y=-5
7x+6y=7
Is (5,1) a solution to the system?
Answers
no for the last problem but yes for the first if u plug in everything
Step-by-step explanation:
I plugged everything in and go the same answer on both sides for the first in but the last one i didn't, so that's a question you should ask your teacher if there is one near you
Find the area.
8 ft
7 ft
14 ft
Answers
Answer:
784
Step-by-step explanation:
I’m pretty sure I did this right I just multiplied them
Explanation : 8 x 7 = 56
56 x 14 = 784
1 3/4+z= 2 2/3
Wat is z
Answers
Answer:
11/12 is Z
Step-by-step explanation:
Do you need the explanation?
The required value of z is 11/12 in the given equation.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
The equation is given in the question as:
1 3/4 + z = 2 2/3
We have to determine the value of z in the given equation,
As per the question, we have
⇒ 1 3/4 + z = 2 2/3
Convert the mixed numbers into fractions,
⇒ 7/4 + z = 8/3
Rearrange the terms in the above equation,
⇒ z = 8/3 - 7/4
Take LCM in the term of fractions,
⇒ z = (32 - 21)/12
⇒ z = 11/12
Therefore, the required value of z is 11/12 in the given equation.
Learn more about the fractions here:
brainly.com/question/10354322
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Solve x+8y/4=9y for x
Answers
Answer:
x = 7y
Step-by-step explanation:
x+8y/4=9y
Multiply each side by 4 to get rid of the fractions
4(x+8y/4)=9y*4
Distribute
4x +8y = 36y
Subtract 8y from each side
4x +8y-8y = 36y-8y
4x = 28y
Divide each side by 4
4x/4 = 28y/4
x = 7y
x+8y/4=9y
Multiply each side by 4
4(x+8y/4)=9y*4
=>4x +8y = 36y
Subtract 8y from each side
=>4x +8y-8y = 36y-8y
=4x = 28y
Divide each side by 4
=>4x/4 = 28y/4
x = 7y
Find the surface area of a rectangular prism with base 4 m by 5 m and height 8 m.
Answers
Answer:
Step-by-step explanation:
surface area=area of sides +area of top and bottom
=2(4+5)×8+2×(4×5)
=2[(9×8)+20]
=2[72+20]
=2×92
=184 m²
The total surface area of the given rectangular prism is square meters.
How to calculate the surface area of a rectangular prism?The surface area of a rectangular prism can be calculated by adding the areas of all its faces.
Given that a rectangular prism with a base 4 m by 5 m and a height 8 m,
The surface area can be calculated as follows:
The surface area = area of sides + area of top and bottom
The surface area = 2(4+5)×8+2×(4×5)
The surface area = 2[(9×8)+20]
The surface area = 2[72+20]
The surface area = 2 × 92
The surface area = 184 m²
Therefore, the total surface area of the rectangular prism is 184 square meters.
Learn more about the rectangular prism here:
https://brainly.com/question/14987814
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Serenity Spa charges $59 for a one hour massage. They charge $0.95 per minute for each additional minute over an hour. If
x represents the number of minutes over one hour, which of the following functions represents the cost of a massage?
Answers
Answer:
D. y = 0.8x + 79
Choices:
A.
y = 79x + 0.8
B.
y = -0.8x + 79
C.
y = 79.8x
D.
y = 0.8x + 79
The following functions represent the cost of a massage as: Cost = 59 + 0.95x
What is the Linear function?A linear function is defined as an equation in which the highest exponent of the variable is always one.
A one-hour massage at Serenity Spa costs $59 USD. They charge $0.95 per minute for every minute over an hour.
The cost of a massage can be represented by the function:
Cost = 59 + 0.95x
This function states that the cost of the massage is equal to the base cost of $59 plus an additional charge of $0.95 for each minute over an hour (represented by the variable x).
For example, if the massage lasts for 70 minutes (10 minutes over an hour), the cost would be calculated as:
Cost = 59 + 0.95(10) = 59 + 9.5 = $68.50
Learn more about the Linear functions here:
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5. A standard-size volleyball court has an
area of 1,800 square feet. The length of the
court is 60 feet. What is the width of the
court?
Answers
Answer: The width of the court is 30 feet.
Step-by-step explanation:
We know that the area of a rectangle is given by :-
Area = length x width (1)
Given : A standard-size volleyball court has an area of 1,800 square feet.
The length of the court is 60 feet.
To find : The width of the court.
According to (1) , we have
[tex]1800 = 60\times \text{width}[/tex]
Then,
[tex]\text{Width}=\dfrac{1800}{60}=30[/tex]
Hence, the width of the court is 30 feet.
Final answer:
The width of a standard-size volleyball court, with an area of 1,800 square feet and a length of 60 feet, is calculated to be 30 feet using the formula for the area of a rectangle.
Explanation:
To find the width of a standard-size volleyball court with an area of 1,800 square feet and a length of 60 feet, we need to use the formula for the area of a rectangle, which is Area = length × width. Since we know the area and the length, we can solve for the width.
Let the width be w feet.
Then, 1,800 sq ft = 60 ft × w ft,
So, w = 1,800 sq ft / 60 ft,
Therefore, w = 30 feet.
The width of the volleyball court is 30 feet.
Please answer ASAP! Due today, thank you in advance and remember to wash your hands with antibacterial soap for 1 minute.
Answers
Answer:
1/2x15(30+40)
Step-by-step explanation:
Just put this in your calculator
y = x -5x + 1 y= 3x - 2
is ( 3 , 8 ) a solution of the system ?
Answers
i was watching mineHUB in lesson and the Bluetooth was not on and everyone heard what should i do i have been sent out of class
Answers
Answer:
act like you dont care next time keep the volume down
Step-by-step explanation:
Determine whether the given function has a maximum or a minimum value. Then, find the maximum or minimum value
of the function.
fx) = x2 - 6x + 5
Answers
Answer:
(3,-4)
Step-by-step explanation:
minimum is shown if you were to graph it,
i dont really know how else to explain it, its sorta self explanatory.. :)
Answer:
Since the leading coefficient of x^2 is positive. Therefore, it is a minimum.
The value of the minimum is: (3, -4)
The weight of a package is at least 1.5 pounds. Write an inequality to represent this situation. (Show work please)
Answers
Answer:
W ≥ 1.5lb
W = weight of package
Step-by-step explanation:
The key words at least show more than or equal to.
Divide 5x2 − 7x − 6 by x − 2.
5x − 5
5x + 3
x − 5
x + 3
Answers
Answer:
5x+3
Step-by-step explanation:
**A rock dropped from a 100 foot tower.
The height of the rock as a function of time
can be modeled by the equation: h(t) =
- 16t2 + 10t + 100. How long does it take
for the rock to reach the ground?
Answers
Final answer:
The rock takes approximately 2.032 seconds to reach the ground.
Explanation:
The height of the rock can be modeled by the equation h(t) = -16t² + 10t + 100, where h(t) is the height of the rock and t is the time in seconds. To find the time it takes for the rock to reach the ground, we need to solve the equation when h(t) is equal to zero. We can do this by setting the equation equal to zero and using the quadratic formula.
Using the quadratic formula, we get: [tex]t = (-b \± \sqrt(b^2 - 4ac))/(2a)[/tex]
Plugging in the values of a, b, and c from the equation, we get: [tex]t = (-10 \± \sqrt{10^2 - 4(-16)(100)/2(-16)[/tex]
Simplifying, we get: [tex]t = (-10 \± \sqrt{100 + 6400/(-32)[/tex]
Continuing to simplify, we get: [tex]t = (-10 \± \sqrt{6500/(-32)}[/tex]
So, it takes approximately 2.032 seconds for the rock to reach the ground.
Luis made a $150 bank deposit using $5 bills and $10 bills. He gave the teller a total of 24 bills. How many $10 bills were in the deposit?
Answers
Answer:
100 10's
Step-by-step explanation:
Answer: 6 10$ bills
Step-by-step explanation:
18 (5$) times 6 (10$) = $150
18 + 6 = 24 bills in total ^
Identify the vertex of each graph. Tell whether it is a minimum or a maximum.
Answers
Answer: Minimum
Step-by-step explanation:
Answer:1,-6 minimum
Step-by-step explanation:Minimum vertex will look like a smiley face and a maximum will look somewhat like a frown. As for the vertex just follow the lines the x and y are on.
Original Price: $125
Discount: ?
Sale Price: $81.25
Answers
Answer:
The discount is 43.75 dollars.
Step-by-step explanation:
125 - 81.25 = 43.75
Final answer:
The discount percentage applied to reduce the original price of $125 to the sale price of $81.25 is 35%.
Explanation:
A student is trying to find out the discount percentage that was applied to an item originally priced at $125 to have a final sale price of $81.25. To calculate the discount, one can use the formula: Discount percentage = ((Original Price - Sale Price) / Original Price) imes 100%. Applying this to the given values: ($125 - $81.25) / $125 imes 100% = $43.75 / $125 imes 100% = 35%. Thus, the discount percentage applied is 35%.
Solve the equation log (x + 20) = 3
Answers
Answer:
Step-by-step explanation:
[tex](x+20)=3\\ -20 -20\\x=-17[/tex]
Hope this helps please give brainliest!