Mathematics College

#3
Determine whether the ratios are equivalent.
5:2 and 30: 12
o equivalent
not equivalent

Answers

Answer 1

Answer:

yes

Step-by-step explanation:

Ratios are equivalent if they are multiples or divisors of each other.

5 : 2 ( multiply both sides by 6 )

= 30 : 12

or

30 : 12 ( divide both sides by 6 )

= 5 : 2

Thus 5 : 2 and 30 : 12 are equivalent ratios

Answer 2

Answer:

equivalent

Step-by-step explanation: 5 x 6 = 30      2 x 6 = 12

Related Questions

Please answer this mathematical problem.

Answers

x = total amount of gumballs

let's start subtracting the balls she's giving away

[tex]\stackrel{total}{x}-\stackrel{\textit{to jaysen}}{\cfrac{x}{2}}\implies \stackrel{\textit{what's left}}{\cfrac{x}{2}}~\hfill \stackrel{\textit{half of what's left to Marinda}}{\cfrac{~~ \frac{x}{2}~~}{2}\implies \cfrac{x}{4}} \\\\\\ \stackrel{\textit{what was left minus Marinda's}}{\cfrac{x}{2}-\cfrac{x}{4}\implies \stackrel{\textit{what's left}}{\cfrac{x}{4}}}~\hfill ~\hfill \stackrel{\textit{a third of what's left to Zack}}{\cfrac{~~ \frac{x}{4}~~}{3}\implies \cfrac{x}{12}}[/tex]

[tex]\stackrel{\textit{what was left minus Zack's}}{\cfrac{x}{4}-\cfrac{x}{12}\implies \stackrel{\textit{what's left}}{\cfrac{x}{6}}}~\hfill \stackrel{\textit{her sister gets 5 balls of what's left}}{ \cfrac{x}{6}-5 }[/tex]

and we also know that after all that has been subtracted, she's only left with 5, so we can say that

[tex]\stackrel{\textit{what's finally left}}{\cfrac{x}{6}-5}~~ = ~~\stackrel{\textit{what's finally left}}{5}\implies \cfrac{x}{6}=10\implies \boxed{x = 60}[/tex]

if you help me with this i’ll mark you brainlest if you are the first to answer.

Answers

Answer:

m∠1 = 97

m∠2 = 83

m∠3 = 97

m∠4 = 83

Answer:

m∠1 = 97°

m∠2 = 83°

m∠3 = 97°

m∠4 = 83°

Step-by-step explanation:

180 - 97 = 83°

180 - 83 = 97°

BRAINLIEST & 25 POINTS PLEASE HELP URGENT DUE IN 10 MINUTES.
A movie theater charges $8.00 for adults and $5.00 for children. If there were 40 people altogether and the theater collected $272.00 at the end of the day, how many
of them were adults?
A. 29 adults
B. 16 adults
C. 24 adults
D. 10 adults

Answers

Answer:

C) 24 adults

Step-by-step explanation:

Let A be the number of adults and C be the number of children.

If a ticket costs $8 per adult, we can express this as 8A

If a ticket costs $5 per child, we can express this as 5C

Combining the two expressions, we can write 8A+5C=272 as our first equation since the total amount of money collected is $272.

Our second equation would be A+C=40 since there are 40 people.

Now, we can take the second equation and write it as C=40-A so we can substitute the value of C into the first equation as 40-A so we only have to deal with one variable, the amount of adults that went to the theater.

The first equation now becomes 8A+5(40-A)=272 and is much easier to solve:

8A+5(40-A)=272

8A+200-5A=272

3A+200=272

3A=72

A=24

Therefore, there are 24 adults

Piper is located at (3, -12) on a map. Bobbi is located at
(3, 2). How far apart are they?

Answers

Check the picture below.

Expand & simplify
(x +3) (x-3)

Answers

Answer:

x^2 - 9

Step-by-step explanation:

Multiply parenthesis

x × x = x^2

x × -3 = -3x

3 × x = 3x

3 × -3 = -9

x^2 - 3x + 3x - 9

= x2 - 9

Henlo, wutt comes next?
a=6a+6-1
a=6a+5
=?

Answers

Step-by-step explanation:

[tex] - 6a + a = 5 \\ a + a = \frac{ - 5}{6} \\ 2a = \frac{ - 5}{6} \\ a = \frac{ - 5}{6} \div 2 \\ a = - \frac{5}{12} [/tex]

$12,500 is invested, part at 9% and the rest at 5%. If the interest earned from the amount invested at 9% exceeds the interest earned from the amount invested at 5% by $486.00, how much is invested at each rate?

Answers

Answer:

$1,538.00

Step-by-step explanation:

Help fast !!! I have like 5 minutes left

Answers

Answer:

y-intercept = (0,3)

Step-by-step explanation:

Help me please I'm stuck on this question​

Answers

Answer:

n= 2.9

1:2.9

Step-by-step explanation:

Divide by 15 on both sides

15 divided by 15 is 1

43 divided by 15 is 2.8666666666=>

It states "Give any decimals in your answer to 1 d.p.

Mean we round it to one decimal place

so it is 2.9

Thus the answer for n is 2.9

Hope this helps!

45% of the members in a council are female
there are 72 female council
(a) the total number of council members
(b) the number of male council members

Answers

Answer:

45% are female -> 72

100% are total -> x

x= 72• 100/45

x= 7200/45

x= 160

total= male+female

160= male + 72

male= 88

If you will subtract 5.789 from 56.1, what is the difference?

Answers

Answer:

50.311

Step-by-step explanation:

I need to know the area of this triangle and I would like to have an explanation because I dont know how to do it I know the formula just not how to get the height

Answers

(-2,1)(4,3)(-2,-5)

Area

[tex]\\ \tt\longmapsto \dfrac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|[/tex]

[tex]\\ \tt\longmapsto \dfrac{1}{2}|(-2)(3+5)+(4)(-5-1)+(-2)(1-3)|[/tex]

[tex]\\ \tt\longmapsto \dfrac{1}{2}|-16-24+4|[/tex]

[tex]\\ \tt\longmapsto \dfrac{1}{2}|-36|[/tex]

[tex]\\ \tt\longmapsto 18units^2[/tex]

2. Which will help you answer, "To what power must a student raise the number 5 to have an answer of 625?"

Answers

Answer:

125

Step-by-step explanation:

The power of 4. Powers are numbers multiplied by themselves. 5 to the fourth power is really 5x5x5x5 which equals 625

Evaluate the following expression [(15+1)/2-4]*6

Answers

Answer:

24

Step-by-step explanation:

By BODMAS rule,

[ ( 15 + 1 ) / 2 - 4 ] * 6

= [ 16 / 2 - 4 ] * 6

= [ 8 - 4 ] * 6

= 4 * 6

= 24

Based on the information given, the value of the equation will be -48.

From the information given, the expression is given as:

= (15+1)/2-4]*6

We'll solve the bracket first.

= (15+1)/2-4]*6

= (16 / 2 - 4) × 6

= (16/-2) × 6

= -8 × 6

= -48

In conclusion, the value of the equation will be -48.

Learn more about equations on:

https://brainly.com/question/13802812

Karen wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She randomly selects a sample of 60 cookies and finds that the number of chocolate chips per cookie in the sample has a mean of 15.9 and a standard deviation of 1.8. What is the 99% confidence interval for the number of chocolate chips per cookie for Big Chip cookies? <μ<

Enter your answers accurately to one decimal place.

Answers

Sample mean : \overline{x}=10.6x=10.6

Standard deviation : s=1.7s=1.7

Significance level : \alpha:1-0.95=0.05α:1−0.95=0.05

Critical value : z_{\alpha/2}=1.96

Hence the 95% confidence interval for the number of chocolate chips per cookie for big chip cookies= (10.1989,\ 11.0011)(10.1989, 11.0011)

Help help help math math math

Answers

Answer:

x=12

Step-by-step explanation:

[tex](4x + 15) + (x + 5) = 180 \\ 5x + 20 = 180 \\ 5x = 60 \\ x = 12[/tex]

Answer:

12

Step-by-step explanation:

Can somebody please find the value of x for me

Answers

Use midpoint theorem :- The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also 'half of the length of the third side'.

So,

2x = ½ (x + 9)

2x = ½(x) + ½(9)

2x - ½x = 9/2

3/2x = 9/2

x = 9/3

x = 3

____

Hope it helps ⚜

A sample of 400 large companies showed that 130 of them offer free health fitness centers to their employees on the company premises. If one company is selected at random from this sample, what is the probability that this company offers a free health fitness center to its employees on the company premises? What is the probability that this company does not offer a free health fitness center to its employees on the company premises? Do these two probabilities add up to 1.0? If yes, why?

Answers

One percent of all individuals in a certain population are carriers of a particular disease. A diagnostic test for this disease has a 90$\%$ detection rate for carriers and a 5$\%$ detection rate for noncarriers. Suppose the test is applied independently to two different blood samples from the same randomly selected individual. (a) What is the probability that both tests yield the same result? (b) If both tests are positive, what is the probability that the selected individual is a carrier?

The angle of elevation to a nearby tree from a point on the ground is
measured to be 38°. How tall is the tree if the point on the ground is 77 feet from the tree? Round your answer to the nearest tenth of a foot if necessary.

Answers

Answer:

Step-by-step explanation:

tan 38 = opp/adj = h/77

h = 77tan38

h = 60.1589932...

h = 60.2 ft

PHOTO ATTACHED PLEASEEEE HELPPPP!!!!!!!!!!

Answers

Answer:

15x^2-3x-1

Step-by-step explanation:

All we have to do is collect like terms and calculate! Hope this helps!

The graph shows the relationship between time
and the number of soda bottles a machine can
make. Use the points (2,48) and (7,168) to find
the number of soda bottles the machine can make
each minute.

Answers

Answer:

24

Step-by-step explanation:

The number of soda bottles the machine can make  each minute is the unit rate, slope. To find slope using those two points, use the formula:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Identify the points: (2,48)  (7,168)

[tex]y_2=168[/tex]

[tex]y_1=48[/tex]

[tex]x_2=7[/tex]

[tex]x_1=2[/tex]

Plug these into the formula then solve:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{168-48}{7-2}[/tex]

[tex]=\frac{120}{5}[/tex]

[tex]=24[/tex]

The slope is 24, and therefore the unit rate. Hence, the machine can make 24 soda bottles each minute.

Simple way

Where you see the point at 48 and 2, it means [tex]\frac{48}{2}[/tex]. So divide

48 ÷ 2 = 24.

6. Kendrick bought 4 bags of bagels. Every bag had a dozen bagels. How many bagels did Kendrick buy?​

Answers

Answer:

Kendrick bought 48 bagels.

Step-by-step explanation:

For this question, you would simply have to multiply 4 by 12.

Dozen means 12.

4x12=48

48 bagels.

1. Which calculation best matches the expression 3y + 2?
A. 3 times 2, plus y
B. 3 times y, plus 2
C. 3 times the sum ofy and 2
D. 3 times the difference of y and 2

Answers

the answer is "B" (3 times y, plus 2). we know this bc 3y just means 3(y), and then you add 2. we also know can use process of elimination. "A" would be written as 3(2)+y, "C" would be written as 3(y+2), and "D" would be written as 3(y-2). hope this helped :)
The answer is: B - 3 times y, plus 2.

Graph (y=-2x+5)

Plz have it answered in 5 min.
It is on Khan Academy

Answers

Answer:

eeeeee

Step-by-step explanation:

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The area of a rectangular dog run can be no more than 120 square feet. The length is 15 feet. What is the width of the dog run.

Answers

Answer:

Length x width= answer

so 15 x 8 = 120

Step-by-step explanation:

Three more than the product of 24 and Matt's height

Answers

Answer:

24m + 3 or (24 × m) + 3

Step-by-step explanation:

product = multiplying

matts height = variable

more than = addition

add together and that's your algebraic expression hope this helps :)

Help me pls thank you so much

Answers

Answer: the second one

Step-by-step explanation:

Determine whether f(x) = 5x^2-20x+ 3 has a maximum or a minimum value and find that value.
PLEASE HELP I’ll mark brainliest

Answers

Answer:

Answer in the attachment, as it wasn't letting me answer it, saying rude words.

evaluate the expression when b=3/10 and x= -2/15
3x-b

Answers

Answer:

3x - b

3 (-2/15) - 3/10

-6/15 -3/10

-60/150 - 45/150

- 105/150

Answers plz fast ????? :D

Answers

Ans

Step-by-step explanation:

Other Questions
The Mystery of Loch NessBy Kayden MitchellOf all the mysteries in the world, none has been as popular as that of the Loch Ness Monster. Perhaps the biggest mystery is whether it is convincing evidence or a simple desire to believe that keeps the myth alive.Loch Ness is a lake in Scotland. The loch, or lake, is known for sightings of a mysterious monster. Most who see this monster, known as Nessie, describe something with a long neck and several humps above the water. Sometimes the "monster" is moving in these sightings, and sometimes it is still. Many have suggested that Nessie might be a plesiosaur (plea-see-a-soar), an aquatic dinosaur that was trapped in the loch after the last ice age.The plesiosaur theory presents several problems. First, the plesiosaur is an air breather. Such a creature would need to surface often and, therefore, be seen more frequently. Second, it's unlikely that the same creature has lived in the loch since the last ice age. Today's creature would have to be the offspring of an original plesiosaur trapped long ago. This would suggest multiple creatures in the loch (needed to produce offspring). Again, sightings would be more frequent if this were the case.So from a purely logical stand point, the existence of such a large and ancient creature is unlikely. But assume for a minute that it is possible. What would a plesiosaur need to live in an enclosed lake?Tropical waters: Scientists believe plesiosaurs were warm-blooded. Like crocodiles and alligators, plesiosaurs would need to live in warm waters. The loch is very cold with temperatures averaging about 40 degrees Fahrenheit (4.4 Celsius).Food: Like other warm-blooded creatures, plesiosaurs would need a large quantity of food. If there is a group of Nessies, then even more food would be needed. Because the loch is full of silt (underwater dust) not much light gets into the deepest areas. So the food chain, which would depend on plankton, is very weak at its base. As a result, there is probably not enough food to support such a large creature.However, the plesiosaur theory is not the only one. Many other ideas attempt to explain the sightings and "photographs." But two separate sonar surveys of the loch have not found any evidence of a creature larger than a salmon. The last survey,1 completed in 2007 by the British Broadcasting Company (BBC), involved 600 different sonar beams. Using satellite navigation systems, the team made sure every inch of the loch was searched. The team found nothing.With cell phones and digital cameras, one would think that sightings of Nessie would increase. This has not happened. The BBC team believes the legend of Nessie has endured because people see what they want to see. To prove this, the team used a fence post, raising it before groups of tourists. Afterwards several of the tourists asked to draw pictures of what they had seen drew pictures of a monster's head.Based on the text, what is the main result of scientists having studied the plesiosaur?A. The people who claim to have seen Nessie can be proven to have been dishonest.B. The sightings have decreased rapidly since the studies were released. C. We can conclusively rule out the existence of modern plesiosaurs. D.We know enough to rule out a plesiosaur as a likely Nessie creature. Which nutritional class absorbs vitamins and sustains the immune system?fatswaterproteinscarbohydrates What do protoplanets eventually grow into? Write the percent as a fraction or mixed number in simplest form. 72.5 This is an image of a satellite traveling around Earth. Explain what are the two forces that are keeping the satelite around Earth without flying off or hitting the ground. Taylor Swift estimates the cost of a new Tesla model S to be $85,000. The actual cost is $100,690. What is the percent error in Taylor's estimate? Round your answer to the nearest whole percent. A look at this quote from Thomas Paine's Common Sense:"Society in every state is a blessing, but government, even in its best state, is but a necessary evil; in its worst state an intolerable one . . ."These words by Thomas Paine were used to . . .1.encourage colonists to declare independence.2. encourage colonists to dump tea into the Boston Harbor.3. encourage colonists to make peace with Great Britain.4. encourage colonists to pay their taxes. Which of these is most likely to cause legal trouble for a 19-year-old Can someone please help me on this?Correct Answer = 15 pts and Brainliest Find the value of x .KM(2x 10) (2x + 40)-N What is it!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Y= 3x 5 what is the slope and y-intercept PLEAS ASAPi wanna sleepim young30 POINTS how do you solve 9-3(5-4x) HELP ME WITH THIS PLEASEEE ! He does not like basketball.He does not like football too.(rewrite using neither)? Solve[tex]\frac{a-1}{a-3} =\frac{a+1}{a-4}[/tex] After heating up in a teapot, a cup of hot water is poured at a temperature of 203F.The cup sits to cool in a room at a temperature of 72F. Newton's Law of Coolingexplains that the temperature of the cup of water will decrease proportionally to thedifference between the temperature of the water and the temperature of the room, asgiven by the formula below:T = Ta +(T. -T.)e-ktTo = the temperature surrounding the objectTo = the initial temperature of the objectt = the time in minutesT = the temperature of the object after t minutesk=decay constantThecup of water reaches the temperature of 183F after 2.5 minutes. Using thisinformation, find the value of k, to the nearest thousandth. Use the resultingequation to determine the Fahrenheit temperature of the cup of water, to thenearest degree, after 5 minutes. How are liverworts and hornworts different? I need help. please look at the image below and let me know I need this by 7:20 am pst.