Which is the largest ratio?
5/36, 2:9, 3 to 18, 1:3
5/36
2:9
3 to 18
1:3
Answer: The largest ratio is (d) 1 : 3.
Step-by-step explanation: We are given to select the larges ratio among the given options.
The first ratio is
[tex]\dfrac{5}{36}.[/tex]
The second ratio is
[tex]2:9=\dfrac{2}{9}=\dfrac{2\times 4}{9\times 4}=\dfrac{8}{36}.[/tex]
The third ratio is
[tex]3\textup{ to }18=\dfrac{3}{18}=\dfrac{3\times 2}{18\times 2}=\dfrac{6}{36}.[/tex]
The fourth ratio is
[tex]1:3=\dfrac{1}{3}=\dfrac{1\times 12}{3\times 12}=\dfrac{12}{36}.[/tex]
Arranging all the ratios in ascending order, we have
[tex]\dfrac{5}{36},~\dfrac{6}{36},~\dfrac{8}{36},~\dfrac{12}{36}\\\\\\\Rightarrow \dfrac{5}{36},~\dfrac{3}{18},~\dfrac{2}{9},~\dfrac{1}{3}.[/tex]
Thus, the largest ratio is (d) 1 : 3.
a block of gold with a mass of 4,830 kilograms has a volume of 0.25 cubic meters. what is the density of the gold?
If the volume of a chunk of gold with a mass of 4,830 kg is 0.25 cubic meters. The gold will have a density of 19,320 kg/m.
What is density?It is defined as the mass-to-volume ratio. The density indicates the object's density and is represented by the symbol. The density is measured in kilograms per cubic meter. While volume is a three-dimensional space enclosed by an object or thing.
It is given that, a block of gold with a mass of 4,830 kilograms has a volume of 0.25 cubic meters.
We have to find the density of the gold.
Density = mass/volume
Density = 4,830 / 0.25
Density = 19,320 kg/m
Thus, if the volume of a chunk of gold with a mass of 4,830 kg is 0.25 cubic meters. The gold will have a density of 19,320 kg/m.
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what percent of 92 is 23
Pilar wanted to use estimation to solve a decimal addition problem. She correctly used estimation to rewrite the problem as 12 + 3 + 5 + 6. What could her original problem have been?
The expression 12 + 3 + 5 + 6 is rewrite as 26. The original problem will be 26.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Pilar wanted to use estimation to solve a decimal addition problem.
She correctly used estimation to rewrite the problem as 12 + 3 + 5 + 6.
Then the original problem will be
⇒ 12 + 3 + 5 + 6
⇒ 26
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Natalie runs at a rate of 5/8 miles in 1/6 of an hour at this rate how long will it take her to run 2 1/2 miles
Biff earned $45 working at happy days drive-in. He spent 1/3 of the money on gas for his car and 1/5 of it on the flowers for his girlfriend. How much money does he have left for the big date? I know what the answer is but I do not know how to show my work or explain it. Please show me how you got the answer thank you very much I will make the points on this problem go up!
Answer:
Sorry I don't really know how to explain it but he would have $21 left
Step-by-step explanation:
Jessica can do 60 Jumping Jacks in 2 minutes Dale can do 150 Jumping Jacks in 5 minutes are these rates equivalent and can you explain why
Solve for n.
11(n – 1) + 35 = 3n
n = –6
n = –3
n = 3
n = 6
Which of the following is a way to describe the number 358 ?
First the surface area of the cube. Round to the nearest whole number and the next one after that pllzzzzz
The surface area of the cube is approximately 396, and the next whole number after that is 397.
17/7 as a repeating decimal is approximately 2.428571.
To find the surface area of a cube, you need to multiply the side length of the cube by itself, and then multiply the result by 6.
In this case, the side length of the cube is 65/8 cm. To simplify this fraction, you can divide the numerator and denominator by their greatest common divisor, which is 1 in this case. Therefore, the simplified fraction is still 65/8.
To find the surface area, you'll need to calculate (65/8)^2 and then multiply the result by 6.
To square the fraction, you need to square the numerator and the denominator separately.
(65/8)^2 = (65^2)/(8^2) = 4225/64
Now, multiply this result by 6:
(4225/64) * 6 = 25350/64
To round this fraction to the nearest whole number, you divide the numerator by the denominator and round to the nearest whole number.
25350/64 ≈ 396.09375
Rounding this to the nearest whole number, you get 396.
The next whole number after 396 is 397.
Therefore, the surface area of the cube is approximately 396, and the next whole number after that is 397.
Now, let's move on to the next question:
To write the fraction 17/7 as a repeating decimal, you need to perform long division.
Divide 17 by 7:
2.428571...
-14
------
30
-28
------
20
-14
------
60
-56
------
40
-35
------
50
-49
------
10
The division repeats after the first decimal place, with the digits 428571 repeating indefinitely. Therefore, 17/7 as a repeating decimal is approximately 2.428571.
When y = 0, the equation becomes 0 = 230 – 45x. Solve this equation for x. What does the solution represent?
Sam was still finishing his breakfast when his brother Leo left for school. Sam started to run after Leo when Leo was already 100 meters away. How soon will Sam catch up, if he is running at a speed of 105 meters per minute while Leo is walking at a speed of 65 meters per minute?
Answer:
Sam will catch up his brother in 2.5 minutes
Step-by-step explanation:
Two equations can be written to represent the problem.
Sam: y1 = 105*t
Leo: y2 = 100 + 65*t
where y represent position, in meters, and t is time in minutes. That is, after 1 minute after Sam started to run, Sam will be at 105 meters of distance from the house, and Leo will be at 165 meters of distance from the house.
When Sam catch up Leo, the distance travelled by both equals:
y1 = y2
105*t = 100 + 65*t
105*t - 65*t = 100
40*t = 100
t = 100/40
t = 2.5 minutes
30 POINTS Ivan is saving money to buy a computer with. He started wih $225 in his savings account and the first week he added $75, the second week he added $200, the third week he unfortunately had to take out $50 and the fourth week he added $125. How much more money does he need to save if the computer cost $895?
Show your work.
A) $220
B) $320
C) $420
D) $575
started with 225 added 75
225 +75 = 300 then added 200
300 +200 = 500, took 50 out
500-50 = 450 then added 125
450 +125 = 575
895-575 = 320
Answer is B $320
Answer:
Answer is B $320
Step-by-step explanation:
A store is having a sale where movies are 15% off their original price. A movie originally cost $25. how much money will be saved by purchasing the movie on sale?
Function f is an exponential function.
x −4 −2 0 2 4
f(x) 316 34 3 12 48
By what factor does the output value increase as each input value increases by 1?
Answer:
The output value increased by factor 2.
Step-by-step explanation:
The general form of the exponential function is
[tex]f(x)=ab^x[/tex]
Where, a is initial value and b is growth factor.
From the given table it is noticed that at x=0, the value of f(x) is 3. It means the initial value is 3.
[tex]a=3[/tex]
The another value of f(x) is 12 at x=2.
[tex]f(3)=ab^2[/tex]
[tex]12=(3)b^2[/tex]
[tex]4=b^2[/tex]
[tex]b=2[/tex]
The required function is
[tex]f(x)=3(2)^x[/tex]
Since the growth factor is 2, therefore the output value increased by factor 2.
HELP PLEASE ILL GIVE BRAINLIEST
how many 1/4 cups are there in 3/4 cup?
There are 3 cups of 1/4 cups in 3/4 cups.
What is ratio and proportion?explanation;
3/4 is equal to 3 times 1/4. 3 times
⇒ 1/4 implies 3×1/4 = 3/4.
A ratio is an ordered pair of numbers a and b, written a / b in which b does no longer identical zero. A proportion is an equation wherein ratios are set equal to each other. The share components is used to depict if two ratios or fractions are same. we can find the lacking fee by dividing the given values. the proportion formula can be given as a: b::c : d = a/b = c/d wherein a and d are the acute terms and b and c are the mean phrases.
The quantitative relation among two quantities showing the number of times one cost consists of or is contained inside the other. The indicated quotient of two mathematical expressions. b : the connection in quantity, quantity, or size among or more matters.
A ratio can be defined as the connection or assessment among two numbers of the same unit to check how larger is one variety than the alternative one. as an instance, if the quantity of marks scored in a take a look at is 2 out of 5, then the ratio of marks received to the total range of marks is written as 2:5.
The ratio is the relationship or evaluation among two quantities of the identical unit to check how bigger is one variety than the alternative one. it is written as a/b or a: b in which b isn't always identical to zero. A share is an equality of ratios. Proportions are used to write down equal ratios which helps to resolve the unknown quantities. The numbers in a ratio can be quantities of any type, along with counts of people or objects, or along with measurements of lengths, weights, time, and so on. In maximum contexts, both numbers are confined to be fine.
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Simplify the numerical expression: -4.2 + 8.1 x ( -1.9)
There are (10^8)^2 ⋅ 10^0 candies in a store. What is the total number of candies in the store?
Answer Choices:
A:1
B:10^10
C:10^16
D:10^17
What is log "small two" (x+2)+log "small two again" (27)
Rearrange formula A=r2 For r
Adult and student tickets to the high school basketball game are sold each week. For every two adult tickets, seven student tickets are sold. How many total tickets were sold if 92 adult tickets were sold?
The total number of tickets sold wer2 414 tickets.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given that, for every two adult tickets, seven student tickets are sold.
So, the ratio is 2:7
Here, 2+7 =9
The number of adult tickets sold were 92.
Let the total number of tickets be x.
Now, number of student tickets
2/9 ×x=92
2x=92×9
2x=828
x=414
Therefore, the total number of tickets sold wer2 414 tickets.
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What is the rate of change?
Gradient = rise/run
= 4/1
So, rate of change is 4
Hope this helps!
What is another to refer to coincident lines?
estimate the quotient for 49 / 311
What is the common ratio for the geometric sequence?
24,−6,32,−38,...
Enter your answer in the box.
The common ratio, r of the geometric sequence
24,−6,32,−38,... is -1/4
How to find common ratio of a geometric sequenceFirst term, a = 24Second term, = -6nth term of a geometric sequence = ar^(n-1)
n = number of termsCommon ratio, r = second term ÷ first term
= -6/24
= -1/4
r = -38/32
= -18/16
= -9/8
It seems the third and fourth term, 32 and -38 do not correspond with the given ratio.
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If Jason spends 2 2/3 hours more at the camp, he will complete 7 hours of camp counseling. How many hours has he worked so far? EXPLAIN
The number of hours Jason has worked so far is [tex]4\frac{1}{3}[/tex] hours.
What is subtraction of fractions?Subtracting fractions include the subtraction of two or more fractions with the same or different denominators. Like fractions can be subtracted directly but for unlike fractions we need to make the denominators same first and then subtract them.
Given that, Jason spends [tex]2\frac{2}{3}[/tex] hours more at the camp, he will complete 7 hours of camp counseling.
Now, 7- [tex]2\frac{2}{3}[/tex]
= 7-8/3
= (21-8)/3
= 13/3
= [tex]4\frac{1}{3}[/tex]
Therefore, the number of hours Jason has worked so far is [tex]4\frac{1}{3}[/tex] hours.
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How to simplify the expression by combining like terms
Kathleen had a bag of candy-coated chocolates. Of the 55 candies in the bag, 20% were red, 30% were orange, 30% were green, and 20% were blue. Of the blue ones, 20% had a damaged candy coating. Approximately how many of the blue ones had a damaged candy coating?
simplify √50 can someone help me ??