Express the ratio below in its simplest form.


3 and 1 half :4.5

Answers

Answer 1
Answer:
3 1/2 : 45 = 7 : 90

Solution:
Change values to whole numbers.

Convert any mixed numbers to fractions.

Convert 3 1/2
3 1/2 = 7/2

We now have:
3 1/2 : 45 = 7/2 : 45

Convert the whole number 45 to a fraction with 1 in the denominator.

We then have:
3 1/2 : 45 = 7/2 : 45/1

Convert fractions to integers by eliminating the denominators.

Our two fractions have unlike denominators so we find the Least Common Denominator and rewrite our fractions as necessary with the common denominator

LCD(7/2, 45/1) = 2

We now have:
3 1/2 : 45 = 7/2 : 90/2

Our two fractions now have like denominators so we can multiply both by 2 to eliminate the denominators.

We then have:
3 1/2 : 45 = 7 : 90

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 7 and 90 is 1

Divide both terms by the GCF, 1:
7 ÷ 1 = 7
90 ÷ 1 = 90

The ratio 7 : 90 cannot be reduced further by dividing both terms by the GCF = 1 :

Therefore:
3 1/2 : 45 = 7 : 90

Answer 2

Answer:

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is 1 number to the right of the decimal point, place the decimal number over 101 (10)

. Next, add the whole number to the left of the decimal.

4 5/10

Reduce the fractional part of the mixed number.

4 1/2

Reduce the fraction.

9/2

Step-by-step explanation:


Related Questions

On Sunday the temperature was 52 degrees and on Tuesday it was -10 degrees. What was the difference in temperature from Sunday to Tuesday?

Answers

The difference was 62 degrees.
52 - (-10) = 62

Answer:

62

Step-by-step explanation:

The answer is 62.

Here's an example.

52 - ( -10 ) = 62

So, the difference in temperature from Sunday to Tuesday is 62.

Just to let you know.

( -10 ) - 52 = -62 ( This is not the answer )

Remember that 62 is the answer.

Hope this helps! <3

pls help pls help pls helppp

Answers

Answer:

2/1

Step-by-step explanation:

Rise over run

Find the distance from point A(15,−21) to the line 5x+2y = 4. Round your answer to the nearest tenth.

Answers

Answer:

5.8

Step-by-step explanation:

If done on graph, just subtract x value of point A with x value of the line when its y value is -21.

If done algebraic, then plug in -21 into the y value for 5x+2y=4, then take the answer to x value (in our case 9.2) and subtract that from 15.

Happy new year yall

i hope this one is better than the last for all of us

(´▽`ʃ♡ƪ)

Answers

Happy New Years to you as well! Stay safe

Answer:

happy late new year!

Step-by-step explanation:

~evita

What is this? Please answer with an explanation

Answers

Yes if you plug in -7 for x the answer comes out to be -5

The random variable KK has a geometric distribution with mean 16. Which of the following is closest to the standard deviation of random variable KK ?
A. 0.0625
B. 0.9375
C. 4
D. 15.49
E. 240

Answers

Answer:

E 240

Step-by-step explanation:

Geometric Distribution mean = (1- p) / p

16 = (1 - p) / p

16p = 1 - p  ;  17p = 1 ; p = 1/17 = 0.058  

Standard Deviation = (1 - p) / p^2

= (1 - 0.058) / (0.058)^2

0.942 / 0.003364

= 280 , closest to 240

What is corollary to triangle sum theorem?

Answers

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. Triangle Angle-Sum Corollaries: The acute angles of a right triangle are complementary. Corollary: a theorem in which the proof follows directly from another theorem.

Answer:

A corollary to a theorem is a statement that can be proved easily by using the theorem. A useful corollary to the Triangle Sum Theorem involves exterior angles of a triangle. ... The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.

Solve the following system: (5 points)
y = x + 3 4x + y = 18
(6, 3)
(3, 6)
(−3, 6)
(3, −6)

Answers

Answer:
(3,6)

Explanation:
The answer I think is 3,6

pls help asap no trolls!!

Answers

Answer:

The answer to this is SAS

Construct a Stem-and-Leaf Display?

Answers

Answer:

Hey mate here's your answer⤵️

A stem and leaf plot is a way to plot data where the data is split into stems (the largest digit) and leaves (the smallest digits). ... The stem and leaf plot is used like a histogram; it allows you to compare data. While a histogram uses bars to represent amounts, the leaves of the stemplot represent amounts.

Hope it was helpfulll

The hourly wages of a sample of 130 system analysts are given below.

mean=90
mode= 103
median =104
range =18
variance= 729

Find the coefficient of variation.

a. 0.30%
b. 30%
c. 8.1%
d. 81%

Answers

Answer: b. 30%

Step-by-step explanation:

A measure of relative variability is known as coefficient of variation. It is the ratio of the standard deviation to the mean.

i.e. [tex]CV=\dfrac{\sigma}{\mu}[/tex]

Given: mean =  [tex]\mu=90[/tex]

Variance = [tex]\sigma^2 = 729[/tex]

[tex]\sigma=\sqrt{729}=27[/tex]

Now, [tex]CV=\dfrac{27}{90}=0.3[/tex]

in percent , [tex]CV= 0.3\times100\%= 30\%[/tex]

Hence, correct option is  b. 30%.

Based on the information given the coefficient of variation is b. 30%.

Coefficient of variation

Using this formula

Coefficient of variation=√Variance/Mean

Let plug in the formula

Coefficient of variation=√729/90

Coefficient of variation=27/90

Coefficient of variation=0.3×100

Coefficient of variation=30%

Inconclusion the coefficient of variation is b. 30%.

Learn more about coefficient of variation here:https://brainly.com/question/12327871

A company wants to evaluate its attrition rate, in other words, how long new hires with the company. Over the years, they have established the following probability distribution.
Let X = the number of years a new hire will stay with the company.
Let P(x) = the probability that a new hire will stay with the company x years.
1. Complete Table using the data provided.
x p(x)
0 0.12
1 0.18
2 0.30
3 0.15
4
5 0.10
6 0.05
2. P(x = 4) = _________
3. P(x ≥5) = __________
4. On average, how long would you expect a new hire to stay with the company?

Answers

Answer:

2.) 0.10 (3.) 0.10 (4.) 2.43

Step-by-step explanation:

Given that:

x p(x)

0 0.12

1 0.18

2 0.30

3 0.15

4

5 0.10

6 0.05

X : __0__ 1 ___ 2 ___ 3 _____ 4 ____ 5 ____ 6

p(x):0.12_0.18_0.30_0.15__0.10___0.10 ___0.05

Σ of p(x) = 1

(0.12 + 0.18 + 0.30 + 0.15 + x + 0.10 + 0.05) = 1

0.9 + x = 1

x = 1 - 0.9

x = 0.1

2.)

P(x = 4) = 0.10

3.)

P(x = 5) = 0.10

4.)

Σ(x * p(x)) :

(0*0.12) + (1*0.18) + (2*0.3) + (3*0.15) + (4*0.1) + (5*0.1) + (6*0.05) = 2.43

Help Me Plz I Really Need It!!!!

Answers

Answer:

x = 4

Step-by-step explanation:

[tex] \sin \: 45 \degree = \frac{x}{4 \sqrt{2} } \\ \\ \frac{1}{ \sqrt{2} } = \frac{x}{4 \sqrt{2} } \\ \\ \sqrt{2} \: \: x = 4 \sqrt{2} \\ \\ x = \frac{4 \sqrt{2} }{ \sqrt{2} } \\ \\ x = 4[/tex]

a mail courtier charges a base fee of $6.95 plus $9.50 per package being delievered. If x represents the number of packages delievered, which of the following equations could be used to find y, the total cost of mailing packages?

Answers

Awnser/The fixed fee is represented by "5.75".
Step-by-step explanation:
In this function, the part that represents the fixed fee is the "5.75", this part is called interception or origin, which is a value that stays the same regardless of the number of pounds. Unlike the "4.99X" part, which is going to change depending on the number of pounds. The "5.75" part is never changing, it's a value that always will be charged to the payment.

Find the equation of the line tangent to the graph of
y = sin^-1 (x/5) at x = 5/2. Show your work.

Answers

Answer:

[tex]\displaystyle y=\frac{2\sqrt{3}}{15}x+\frac{\pi-2\sqrt{3}}{6}[/tex]

Step-by-step explanation:

We want to find the equation of the line tangent to the graph of:

[tex]\displaystyle y=\sin^{-1}\left(\frac{x}{5}\right)\text{ at } x=\frac{5}{2}[/tex]

So, we will find the derivative of our equation first. Applying the chain rule, we acquire that:

[tex]\displaystyle y^\prime=\frac{1}{\sqrt{1-\left(\dfrac{x}{5}\right)^2}}\cdot\frac{1}{5}[/tex]

Simplify:

[tex]\displaystyle y^\prime=\frac{1}{5\sqrt{1-\dfrac{x^2}{25}}}[/tex]

We can factor out the denominator within the square root:

[tex]\displaystyle y^\prime =\frac{1}{5\sqrt{\dfrac{1}{25}\big(25-x^2)}}[/tex]

Simplify:

[tex]\displaystyle y^\prime=\frac{1}{\sqrt{25-x^2}}[/tex]

So, we can find the slope of the tangent line at x = 5/2. By substitution:

[tex]\displaystyle y^\prime=\frac{1}{\sqrt{25-(5/2)^2}}[/tex]

Evaluate:

[tex]\displaystyle y^\prime=\frac{1}{\sqrt{75/4}}=\frac{1}{\dfrac{5\sqrt{3}}{2}}=\frac{2\sqrt{3}}{15}[/tex]

We will also need the point at x = 5/2. Using our original equation, we acquire that:

[tex]\displaystyle y=\sin^{-1}\left(\frac{1}{2}\right)=\frac{\pi}{6}[/tex]

So, the point is (5/2, π/6).

Finally, by using the point-slope form, we can write:

[tex]\displaystyle y-\frac{\pi}{6}=\frac{2\sqrt{3}}{15}\left(x-\frac{5}{2}\right)[/tex]

Distribute:

[tex]\displaystyle y-\frac{\pi}{6}=\frac{2\sqrt{3}}{15}x+\frac{-\sqrt{3}}{3}[/tex]

Isolate. Hence, our equation is:

[tex]\displaystyle y=\frac{2\sqrt{3}}{15}x+\frac{\pi-2\sqrt{3}}{6}[/tex]

what is the final cost of a book priced at $10.00 with a tax rate of 5%?

Answers

Answer:

10.50

Step-by-step explanation:

5% of 10 is 0.5

0.5+10=10.50

Answer:

The answer is $10.50

Step-by-step explanation:

5% of $10 is 50cents so you add .50 to 10 and get $10.50

in a art class, there are 48 pencils to 56 crayons. what is the ratio of pincels to total written as a fraction in simplest form​

Answers

Answer: 48:104

Step-by-step explanation: 48 is the amount of pencils 48+56=108 is the total

Barry's deck of cards contains 40 blue cards and 70 red cards Max deck of cards contains the same number of blue cards but the ratio of blue cards to red cards is not 8.9 how many total cards does Max deck of cards contain

Answers

Answer:

95

Step-by-step explanation:

If the ratio is

8 :  9

and you know that there are 40 blue cards, than multiply the ratio by 5

8  ⋅  5 : 9  ⋅  5

40  :  45

If Max has 40 blue cards, he will have 45 red cards. Therefore, he has  40  +  45  =  95  cards in total.

4/5+5/50

helllppppp pleaseeee

Answers

Answer:

9/10

Step-by-step explanation:

you can only add fractions when the denominator is the same, so u either have to multiply or divide a fraction. In this case, we'll multiply 4/5 with 10/10 so that the denominator will be the same as 5/50, and so that the value, 4/5(10/10), would still equal 4/5

4/5(10/10) + 5/50

40/50 + 5/50

45/50

simplify it

9/10

6. 1350 = 5 = find the quotient ​

Answers

Answer:

this question is of high school or collage

A right triangle with a leg 3mi and hypotenuse 5mi

Answers

the other side is 4 bc it’s a special right triangle
i wish you a merry christmas and a happy new year rudolph the red now reindeer had a great

Jessica is selling books during the summer to earn money for college. She
earns a commission on each sale but has to pay for her own expenses.
After a month of driving from neighborhood to neighborhood and walking
door-to-door, she figures out that her weekly earnings are approximately a
linear function of the number of doors she knocks on.
She writes the equation of the function like this: E() = 10x- 35, where xis the
number of doors she knocks on during the week and E(x) is her earnings for
the week in dollars.
What does the slope of Jessica's function represent?

Answers

Answer:

A you can check it by substituting values into x like 5 and 6 then compare the E(X) value

The solution is :

The slope represents the rate of change of earnings in a week for every unitary change in number of doors knocked. For Jessica's function, her earnings change by +7 units for every unit of door she knocks.

What is slope?

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

The slope of any linear function tells us the rate of increase in Y given 1 unit increase in X

[note the equation as y = mx+b ].

Here, m is the slope.

Jessica's weekly earning function is:

E(x) = 7x - 25

Where,

E(x) is her weekly earnings

x is the number of doors she knocks

So, when comparing this to the meaning of slope stated above, we can say that the slope of Jessica's function represents the rate of change of earnings in a week for every unitary change in number of doors knocked.

To learn more on slope click:

brainly.com/question/3605446

#SPJ7

#5 Test question 7th grade math

Answers

Answer:

0.85p and p - 0.15p are right

choose the numerical expression that represents multiplying the sum of 159 and 833 by 6​

Answers

Answer:

(159+833)*6 = 5952

Step-by-step explanation:

(159 + 833) * 6

= 992*6 = 5952

Ben, Mingli and Samy shared $180. Ben received $45, Mingli received $63 and Samy received the rest. What percentage of the money did
Samy receive?

Answers

Samy received $72 and 72/180 is 40% i believe

Don't steal points
its not cool
i WILL report
and also
answer this and u could have a chance to get brainliest
ill be asking 10 questions
whoever has the best answer in any of these ill give brainliest :D

Answers

Answer:

1, 2, 3

Step-by-step explanation:

Solve the inequality for n.

Divide both sides by 4.

4n < 16

4n/4 < 16/4

n < 4

Any number less than 4 is a solution. Now we look at the numbers in the set.

The numbers 1, 2, 3 are solutions.

The equation y = 10x describes the amount of money Serena earns, where x is the number of hours she works and y is the amount of money she earns.
The table shows the amount of money Christine earns for different numbers of hours
worked.

Christine's Earnings
Time (h):
3 5 8 10
Money earned:
60 100 160 200

(a) How much money does Christine earn per hour? Show your work.

(b) Who earns more per hour? Justify your answer.

(c) Draw a graph that represents Christine's earnings over time in hours. Remember
to label the axes.

I WILL GIVE BRAINLIEST IF THEY ARE CORRECT AND ALL ANSWERS WERE ANSWERED!!!

Answers

Answer : Answer:

a) $10 per hour

b) Sandra

Step-by-step explanation: he equation y 10x describes the amount of money Sandra earns, where x is the number of hours she  works and y is the amount of money she earns

The table shows the amount of money Susan cams for different numbers of hours worked

Susan's Earnings

Time (h)           Money Earned

5                              40

8                              64                

10                             80

(a) How much money does Sandra eam per hour? Show your work

(b) Who earns more per hour? Justify your answer

Answer:

a)

y = 10x is sandra's equation. To find her hourly rate, we need to find how much she earns in "1" hour. Since x is hours, we plug in x = 1 and find y (which is her pay).

y = 10x

y = 10(1)

y = 10

$10 is Sandra's hourly rate.

b)

To find who earns more per hour, we need to find the hourly rate of Susan as well from the table. Then compare.

5 hours = $40 so per hour is 40/5 = 8

8 hours is 64, so per hour 64/8 = 8

10 hours is 80, so 80/10 = 8

The table is justified at $8 per hour.

We know Sandra earns $10/hr and Susan earns $8 per hour. So Sandra earns more per hour.

A student wants to find point C on the directed line segment from A to B on a number line such that the segment is partitioned in a ratio of 3:4. Point A is at –6 and point B is at 2. The student’s work is shown.

C = (three-fourths) (2 minus (negative 6)) + (negative 6)
C = (three-fourths) (8) minus 6
C = 6 minus 6
C = 0
Analyze the student’s work. Is the answer correct? Explain.

No, the student should have added 3 + 4 to get the total number of sections, and used the fraction Three-sevenths instead of Three-fourths.
No, the student should have subtracted 2 from –6 to find the distance.
No, the student should have added 2 at the end to add to the starting point.
Yes, the student’s answer is correct

Answers

Answer:

Answer is A

Step-by-step explanation:

Took on Edge 2020

The student should have added 3 + 4 to get the total number of sections, and used the fraction three-sevenths instead of three-fourths.

Given the segment partitioned in a ratio of 3:4, the total ratio is expressed as:

Total = 3 + 4  = 7

If point C is on the line segment AB, hence the point C on the line will be expressed as:

[tex]C = \frac{3}{3+4} \cdot (2-(-6)+(-6))\\C= \frac{3}{7} \cdot (2+6-6)\\C= \frac{3}{7} \cdot (8-6)\\C=\frac{3}{7} \=(2)\\C=\frac{6}{7}[/tex]

Based on the calculation, we can conclude that the student's answer is incorrect. The student should have added 3 + 4 to get the total number of sections and used the fraction three-sevenths instead of three-fourths

Learn more on midpoint here: https://brainly.com/question/5566419

Tony and Ricky spend a certain amount of money from their accounts each week at a pet shelter.

The table shows the relationship between the amount of money (y) remaining in Tony's account and the number of weeks (x):

Function 1:
Number of Weeks
(x) Amount Remaining (dollars)
(y)
1 30
2 24
3 18
4 12

The equation shows the relationship between the amount of money, y, remaining in Ricky's account and the number of weeks, x:

Function 2:
y = −7x + 30

Which statement states and explains which function shows a greater rate of change?

a. Function 1, because Tony spends $6 each week and Ricky spends −$7 each week

b. Function 2, because Ricky spends $7 each week and Tony spends $6 each week

c. Function 1, because Tony spends $18 each week and Ricky spends $23 each week

d. Function 2, because Ricky spends $30 each week and Tony spends $18 each week

Answers

Answer:

No its not a

Step-by-step explanation:

what is the answer because a is not right. I did the quiz and got it wrong

Answer:

it is answer b.  

What is the sum of the fractions? Use the nurnber line and equivalert fractions to help find the answer.
o-1
o

Answers

Answer:

-3/4

Step-by-step explanation:

-5/4 + 2/4 = -3/4

Hope this helps :)

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