write the ratio as a fra tion in the lowest term
8. Teacher-to-student ratio in a school is
8 teachers to 160 students.​

Answers

Answer 1
Ratio - 8:160
Fraction - 8/160 reduces to 1/20

Related Questions

The table shows how a leading automobile dealer plans to spend its advertising dollars for this year. If this company plans to increase its budget by 5% next year, approximately how much will it spend on social media ads? Advertising Budget: $81,000 48.5% Television 23% Magazines 20% Newspapers 7% Radio 1% Billboards 0.5% Social Media $405 $20 $425 $4,250

Answers

Answer:

$425

Step-by-step explanation:

Answer:

the answer is c, $425

Step-by-step explanation:

just did the quiz

the sum of two consecutive integers is one less than three times the smallest integer. find the two integers

Answers

Answer:

n + (n+1) = 3n -1

n = 2

the integers are 2 and 3

Step-by-step explanation:

What is 1/4 * 4x + 8

Answers

X+2 is the correct answer

Kelly has a rock garden with a length of 6 feet. She constructs a scale model of the rock garden using
the scale 1 inch:2 feet.
What is the length of the garden in her model? Show your work, including your proportion.
If the width is 5 inches for the scale model and the scale is still 1 inch to 2 feet, will her scale
model drawing fit on a piece of paper that is 8.5 inches by 7 inches? Why or why not?
Answer:

Answers

Answer:

3 inches

It will fit in the paper.

Step-by-step explanation:

In the scale drawing the 2 feet original length is converted to 1 inch drawing length as Kelly constructs a scale model of the rock garden using the scale 1 inch  : 2 feet.

Now the proportion is 1 inch : (2 × 12) inches = 1 : 24 {Since 1 foot is equivalent to 12 inches}

Now, maintaining that scale ratio the 6 feet original length of the garden will be converted to [tex]\frac{1}{24} \times (6 \times 12) = 3[/tex] inches in the drawing.

It is also given that the width of the garden in the scale model is 5 inches and the scale is still 1 inch : 2 feet.

Therefore, the dimensions of the garden in the model is 3 inches by 5 inches and this will fit on a piece of paper that is 8.5 inches by 7 inches. (Answer)

it cost $45.75 for 5 apple pies. give the point of the unit rate

Answers

It is $9.15 cents per pie
45.75 divided by 5 = 9.15, each apple pie is $9.15

find the x-intercepts and y-intercepts of 10x+6y=-4

Answers

The x intercept is [tex](\frac{-2}{5}, 0)[/tex]

The y intercept is [tex](0, \frac{-2}{3})[/tex]

Solution:

Given equation is:

10x + 6y = -4

The x intercept is the point where the line crosses the x axis

The y intercept is the point where the line crosses the y axis

Find x intercept:

Substitute y = 0 in given equation

10x + 6(0) = -4

10x = -4

[tex]x = \frac{-4}{10}\\\\x = \frac{-2}{5}[/tex]

Thus the x intercept is [tex](\frac{-2}{5}, 0)[/tex]

Find y intercept:

Substitute x = 0 in given equation

10(0) + 6y = -4

[tex]6y = -4\\\\y = \frac{-4}{6}\\\\y = \frac{-2}{3}[/tex]

Thus the y intercept is [tex](0, \frac{-2}{3})[/tex]

On a certain hot​ summer's day, 391 people used the public swimming pool. The daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $752.75. How many children and how many adults swam at the public pool that​ day?

Answers

Final answer:

there were 127 children and 264 adults.

Explanation:

To solve this problem, we use a system of equations. Let's denote the number of children as C and the number of adults as A. We know two facts: the total number of people is 391, and the total amount of money collected is $752.75. Therefore, we have the equations:

C + A = 3911.25C + 2.25A = 752.75

To solve this system, we first multiply the first equation by 1.25 to align the coefficient of C with the second equation:

1.25(C + A) = 1.25(391)1.25C + 1.25A = 488.75

Next, we subtract this result from the second equation to eliminate C, leaving an equation in terms of A only:

2.25A - 1.25A = 752.75 - 488.75

A = (264) / 1 = 264

Substituting the value of A into the first equation, we find the value of C:

C + 264 = 391

C = 127

Therefore, there were 127 children and 264 adults who swam at the public pool that day.

Solve the equation for the variable
X/2+1=6

Answers

X = 10 because if you multiply everything by 2 you get x + 2 = 12. X = 12- 2 which is 10

Russell randomly surveys seventh-graders in his school and finds that 6 of 30 attend summer camp. If there are 200 seventh-graders in his school, about how many are expected to attend summer camp? Enter your answer in the box.
----------eighth -graders

Answers

Answer:

40

Step-by-step explanation:

6 of 30 is the ratio 6 to 30 or 6/30.

6/30 reduces to 1/5

The survey shows that 1/5 of the students attend summer camp.

1/5 of 200 = 1/5 * 200 = 40

if sin theta = cos theta then find the value of theta

Answers

Step-by-step explanation:

[tex] \because \sin \theta = \cos \theta \\ \\ \therefore \: \sin \theta = \sin(90 \degree - \theta) \\ \\ \therefore \: \theta = 90 \degree - \theta \\ \\ \therefore \: \theta + \theta= 90 \degree \\ \\ \therefore \: 2\theta = 90 \degree \\ \\\therefore \: \theta = \frac{90 \degree }{2} \\ \\ \huge \orange{\boxed{\therefore \: \theta = 45 \degree}}\\ \\[/tex]

in Eduardo’s collection, the number of butterflies is 12 more than twice the number of moths. If there are x moths, write an expression to represent the number of butterflies he has.

Answers

Answer:

An expression to represent the number of butterflies he has is  y = 12 + 2x

Step-by-step explanation:

Let the number of butterflies in Eduardo’s collection be  y

Then according to the question

The number of moths = x

The number of butterflies y = 12 + twice the number of moths---------(1)

Twice the number of moths = [tex]2 \times \text{number of moths}[/tex]

Twice the number of moths = 2x -----------------------(2)

Substituting equation (2) in (1)

The number of butterflies y = 12 + 2x

brainliest and 100 pts!!!!!!!!!!!!!!!!!!!

Natalie's coach has a stopwatch that records times to the nearest thousandth of a second. Natalie ran a given distance in 25.453 seconds.

What is Natalie's time rounded to the nearest tenth of a second?

Enter your answer in the box.

___s

Answers

The answer is 25.6 seconds

Answer:

25.5

Step-by-step explanation:

Consider the formula
d
=
m
V
d=
V
m

d, equals, start fraction, m, divided by, V, end fraction, where
d
dd represents density,
m
mm represents mass and has units of kilograms
(kg)
(kg)left parenthesis, start text, k, g, end text, right parenthesis, and V
Represents volume and has units of cubic meters
(m3)
(m
3
)start text, left parenthesis, m, end text, cubed, right parenthesis.
Select an appropriate measurement unit for density.

Answers

Option C:

[tex]$\frac{\text{kg}}{\text{m}^3}}[/tex]

Solution:

Given data:

[tex]$\text{d}=\frac{\text{m}}{\text{V}}[/tex]

where "d" represents density

"m" represents mass

"V" represents volume

The unit of mass is kilogram (kg).

The unit of volume is cubic metres [tex](\text{m}^3)[/tex].

To find an appropriate measurement unit for density:

[tex]$\text{d}=\frac{\text{m}}{\text{V}}[/tex]

Substitute kg and [tex](\text{m}^3)[/tex] in mass and volume respectively.

[tex]$\text{d}=\frac{\text{kg}}{\text{m}^3}}[/tex]

Option C is the correct answer.

An appropriate measurement unit for density is [tex]$\frac{\text{kg}}{\text{m}^3}}.[/tex]

Answer:

option b Kg/m3

Step-by-step explanation:

same as other answer

Rafeal wants to know if there is a single transformation that will move trapezoid JKLM onto trapezoid PQRS Below

Which Statement is true?
A. A 90 counterclockwise roation of trapezoid JKLM about the origin will move angle L onto angle R
B. A 180 rotation of trapezoid JKLM about the origin will move angle J onto angle R
C. A reflection of trapezoid JKLM across the y-axis will move angle K onto angle R
D. There is no transformation Rafael can use because trapezoids JKLM and PQRS are not congruent

Answers

A. A 90° counterclockwise rotation of trapezoid JKLM about the origin will move angle L onto angle R.

Step-by-step explanation:

Since both the trapezoids, trapezoid JKLM and PQRS are congruent, we can do any transformation, may be rotation, reflection and translation.

A 90° counterclockwise rotation of trapezoid JKLM about the origin will move angle L onto angle R is the true statement others are incorrect statements.

When the Preimage is rotated 90° counterclockwise rotation, then its coordinates (x,y) changed into (-y,x)  

a reflection through what line will move P(-4, 5) to P'(4,5)?
r __________

Answers

Step-by-step explanation:

Reflection through y-axis.

Answer:wait

Step-by-step explanation:

The value of y varies directly as the square of x and y=36 when x=3. What is y when x=4?

Answers

Answer: y = 64

Step-by-step explanation:

y <> x² ----------------------- 1

y = kx² ----------------------- 2

36 = 3²k

36 = 9k

K = 36/9

= 4.

To find y when x = 4, we substitute for x in equation 2

y = kx²

y = 4²k

y = 16 x 4

y = 64

Final answer:

The value of y, which varies directly as the square of x, is determined by first identifying the constant of variation from the given values, in this case, y = 36 when x = 3. The constant is found to be 4. Using this constant (k), when x is 4, y will be 64.

Explanation:

The value of y varies directly as the square of x, which is represented mathematically as y = kx², where k is the constant of variation. Using the given that y = 36 when x = 3, we can determine k by substituting these values into the equation. Thus, k = y/x² = 36/9 = 4. Now, having the value for k, we can find y when x = 4 by substituting these values into the equation: y = kx² = 4×16 = 64. Therefore, y equals 64 when x equals 4 in the given relation.

Learn more about Direct Variation here:

https://brainly.com/question/9775007

#SPJ2

Roxy has some necklaces. Kelly has 4 times more rings than Roxy. Together they have 35. How many necklaces does Roxy have?

Answers

Answer:

Roxy has 7 necklaces.

Step-by-step explanation:

35 = n + 4n

35 = 5n

5  =   5

n = 7

Final answer:

The problem is a simple algebra problem related to ratios. By setting up an equation according to the given information, we find that Roxy has 7 necklaces.

Explanation:

This is a math problem concerning ratios and simple algebra. Let's denote the number of necklaces that Roxy has as R. Then, Kelly has 4 times more rings, which is 4R. Together they have 35. So, the equation can be set up as:

R + 4R = 35

Combine like terms, you get:

5R = 35

Then, you can solve for R by dividing both sides by 5:

R = 35/5 = 7

So, Roxy has 7 necklaces.

Learn more about Simple Algebra:

https://brainly.com/question/22399890

#SPJ12

What is 3/4(121+8) in distributive property

Answers

Answer:

387/4

Step-by-step explanation:

121+8=129

3/4(129)=387/4

The soda can is a cylinder with a diameter of 2 inches and a height of 5 inches. What is the area

Answers

Answer:

?

Step-by-step explanation:

Area of a rectangle is 100 sq ft. The length is 10 ft longer than twice it’s width. What is the length and the width.

Answers

The length of the rectange is 20ft and width of the 5ft.

Step-by-step explanation:

Let us consider a rectangle and its area is known to be 100 sq ft.

We are given the information that the length of the rectangle is 10ft longer than twice its width.

⇒Length l = 2w+10.

Where w is the width of the rectangle.

The formula for area of the rectangle A = length × width.

A= (2w+10)×w.

100 = [tex]2w^2+10w[/tex].

0=[tex]2w^2+10w-100[/tex].

Thus it forms an quadratic equation we have to solve for the solution.

0=(2w-10)(w+10).

2w-10=0.    w+10=0.

2w=10.        w=-10. (negative value cannot be choosed.)

w=[tex](\frac{10}{2} )[/tex].        

w=5ft.

Thus width is is 5 ft.

Length = 2(5)+10.

=10+10.

=20ft.

Thus the length is 20ft.

The deepest part of a swimming pool is 12 feet deep the shallowest part of the pool is 3 feet deep. what is the ratio of the depth of the deepest part of the pool to the depth of the shallowest part of the pool?

Answers

Answer:

12 : 3

Step-by-step explanation:

You put the depth of the deep before the depth of the shallowness to get the ratio.  The ratio could be written like,

12 : 3

12 / 3

12 to 3

Answer:

the answer to the question is 12:3

Prime factor of 2080

Answers

Answer:

2 x 2 x 2 x 2 x 2 x 5 x 13

Step-by-step explanation:

The Prime Factorization is:

2 x 2 x 2 x 2 x 2 x 5 x 13

In Exponential Form:

25 x 51 x 131

CSV Format:

2, 2, 2, 2, 2, 5, 13

The prime factors of 2080 are 2, 2, 2, 2, 5, and 13.

Divide 2080 by the smallest prime number, which is 2:

2080 ÷ 2 = 1040

Continue dividing by 2:

1040 ÷ 2 = 520

Continue dividing by 2:

520 ÷ 2 = 260

Continue dividing by 2:

260 ÷ 2 = 130

Continue dividing by 2:

130 ÷ 2 = 65

Now, 65 is not divisible by 2.

Move to the next prime number, which is 5:

65 ÷ 5 = 13

13 is a prime number.

So, the prime factors of  2080 are 2, 2, 2, 2, 5, and 13. In exponential form, this can be written as 24 * 5 *13.




Question text

If x − 2 = 1/3, then what is the value of x to the power of 2 − 4x + 4?

Answers

Answer: 1/9

Step-by-step explanation:

Leah wrote 2 different fractions with the same denominator.Both fractions were less than 1. Can their sum equal 1? Can their sum be greater than 1? Explain.

Answers

Answer:

1. Yes

2. Yes

Step-by-step explanation:

Leah wrote 2 different fractions with the same denominator. Both fractions were less than 1.

1. Can their sum equal 1?

Let Leah fractions be [tex]\dfrac{6}{7}[/tex] and [tex]\dfrac{1}{7}.[/tex] Both these fractions have the same denominators and are less than 1. Find their sum:

[tex]\dfrac{6}{7}+\dfrac{1}{7}=\dfrac{7}{7}=1[/tex]

2. Can their sum be greater than 1?

Let Leah fractions be [tex]\dfrac{6}{7}[/tex] and [tex]\dfrac{5}{7}[/tex]. Both these fractions have the same denominators and are less than 1. Find their sum:

[tex]\dfrac{6}{7}+\dfrac{5}{7}=\dfrac{11}{7}=1\dfrac{4}{7}>1[/tex]

Two fractions with the same denominator can sum to 1 if their numerators add up to the denominator, or they can sum to more than 1 if their numerators together exceed the denominator. This is based on the concept of adding fractions where only the numerators are summed.

Leah wrote two different fractions with the same denominator, and both were less than 1. Can their sum equal 1? Can their sum be greater than 1? The answer to both questions depends on the value of the numerators. Fractions represent parts of a whole. For two fractions with the same denominator to have a sum of 1, the numerators must add up to the denominator. If their sum is greater than the denominator, then the total sum would be greater than 1.

For example, if we have fractions ½ and ¾, their sum is ½ + ¾ = ¾ which is less than 1. However, if we have ¾ and ¾, the sum equals 6/4, which reduces to 1½, a sum greater than 1.

In conclusion, two fractions with the same denominator and each less than 1 can sum to 1 if the numerators total the denominator, or can sum to greater than 1 if the numerators together exceed the denominator. An important aspect of adding fractions is that we only add the numerators and never the denominators.

Fill in the table using this function rule. y=-3x+5

Answers

The missing values are 11, 8, 5 and 2 respectively.

The picture of the question in the attached figure

we have

y=-3x+5

Substitute the different values of x in the linear equation, to obtain the

different values of y in the table

For x-2-> y=-3(-2)+5=11

For x=-1-> y=-3(-1)+5=8

For x-0->9=-3(0)+5=5

For x-1->y=-3(1)+5=2

For more questions on values here:

https://brainly.com/question/30236354

#SPJ3

Which of the following expressions are equivalent to -8 -(-1)-5

Answers

Answer:

Step-by-step explanation:

-8 -(-1)-5

Opening bracket

= -8 + 1 - 5

= -12

The student's expression -8 -(-1)-5 simplifies to -8 + 1 - 5, which is equal to -12 after performing the addition and subtraction sequentially.

The expression in question is -8 -(-1)-5. To solve this, we need to recognize that subtracting a negative number is the same as adding its positive equivalent. So, the expression simplifies to -8 + 1 - 5.

Now, we perform the addition and subtraction in the order they appear:

First, we add 1 to -8, which gives us -7.Then, we subtract 5 from -7, which gives us -12.

Therefore, the expression -8 -(-1)-5 is equivalent to -12.

How many times does 7 go into 52

Answers

Answer:

7.43

Step-by-step explanation:

52/7 = 7.4285714...

that can be shortened to 7.43

7.43

Step-by-step explanation:

52/7 = 7.428

4.) Mr. Souders purchased a car priced at $9800. He paid $500 down and
agreed to a monthly payment of $250 per month for 48 months.
Including the down payment, what is the total cost of the car?
Please show your work.

Answers

Answer:

The total cost of the car including the down payment  = $12,500

Step-by-step explanation:

The Original price of the car  = $9800

The amount paid for down payment  = $500

Also, the monthly payment  amount  = $250

Now, the number of months, the amount is paid  = 48 months

So, the TOTAL amount paid in 48  months

= 48 x ( Amount paid each month)   = 48 x ( $250)

= $12,000

So, the TOTAL PRICE of CAR paid  = Total amount paid in 48 months  + The amount paid for down payment

= $12,000 +  $500

= $12,500

Hence, the total cost of the car including the down payment  = $12,500

HELP NOW BRANLIEST AND 15 points

Answers

Answer: C A L C U L A T O R probably on calculator soup

Step-by-step explanation:

Answer:

look at the picture shown

Ella and her children went into a bakery and where they sell cookies for $0.50 each and brownies for $2.25 each. Ella has $15 to spend and must buy a minimum of 9 cookies and brownies altogether. If Ella decided to buy 5 cookies, determine the maximum number of brownies that she could buy. If there are no possible solutions, submit an empty answer.

Answers

Answer: 5 brownies

Step-by-step explanation:

cookies = 5 x $0.50 = $2.5

$15 - $2.5 = $12.5

$12.5 divided by $2.25 = $5.555

so at the most ella can buy 5 brownies if she buys 5 cookies

Answer:

If each cookie is .50 and she wants to buy 5 cookies @ .50= $2.50

Than subtract $2,50 from $15.00 (which she has to spend you have $12.50

Then divide 2.25 into $12.5 and you get an answer of 5 brownies with a $1.30 extra to spend

Step-by-step explanation:

Other Questions
Can someone pleaseeee answer this !!!!!! If the volume of one drop is 0.031 mL according to Stu Dents measurement, approximately what volume would 22 drops be? Answer with two significant digits and units of mL. A bag holds 11 beads. 7 are red, the rest are white. Two beads are taken at random from the bag. What is the probability that one bead of each colour is taken? You must show your working. Got 2/4 marks for 14/55 what kingdom does penelope and odysseus rule The safe load for a certain horizontal beam used to hold up part of a building varies inversely as the length between thesupports.TrueFalse plz help im in 5th grade 20 times 2 Which expression is not equivalent to cos 150 A) sin 240 degreesB) cos 210 degrees C)cos 60 degrees D) -sin 60 degrees if 48 men have ration for 16 days how long will the food last if a reinforcement of 16 men arrived For Other Than One And Two Family Dwellings, When Building A New Electrical Service At Least One 125 Volt, Single Phase, 15 Or 20 Ampere Rated Receptacle Outlet Shall Be Located Within At LEAST ________ Feet Of The Electrical Service Equipment. Question 5 of 151 PointHere are events in a story of how people have interacted with a landscape.Put them in chronological order.1Dense forest with large trees on steep hillsMechanized logging throughout hillsErosion fills lakes with siltHand logging near lakes The tension in the Cold War was increased by the space race. Who actually put the first man made satellite into space In the george miller's happy feet who.was the characters?asap po pa help f the earth's average surface temperature were to increase, the amount of radiation emitted from the earth's surface would __________ and the wavelength of peak emission would shift toward __________ wavelengths. A criminal investigator must determine whether a crime has, in fact, been committed, and if so, who committed it. This process is often aided by knowing the usual habits or patterns of criminals, that is, their_____. Haley's age is 6 years less than half her mother'sage. If Haley is 16 years old, what is an equationthat can be used to determine her mother's age? Noah says to find 20% of a number he divides the number by 5. Does Noah method always work? A strategic vision for a company__________ a. concerns management's view of how to transition the company's business model from where it is now to where it needs to be. b. spells out how the company is going to get from where it is now to where it wants to go and when it is expected to arrive. c. consists of thinking through what it will take to make the chosen strategy work as planned. d. involves how fast to pursue the chosen strategy and reach the targeted levels of performance. e. describes "where we are going" by delineating the course and direction management has charted for the company's future product-customer-market-technology focus. An oblique rectangular prism with a square base has a volume of 539 cubic units. The edges of the prism measure 7 by 7 by 14 units. How many units longer is the slanted edge length of the prism, 14, compared to its perpendicular height? Consider a three-phase generator rated 300 MVA, 23 kV, supplying a system load of 240 MVA and 0.9 power factor lagging at 230 kV through a 330 MVA, 23 D/ 230 Y-kV step-up transformer with a leakage reactance of 0.11 per unit a) Neglecting the exciting current and choosing base values at the load of 100 MVA and 230 kV, find the phasor currents IA, IB, and IC supplied to the load in per unit b) By choosing the load terminal voltage VA as reference, specify the proper base for the generator circuit and determine the generator voltage V as well as the phasor currents IA, IB, and IC, from the generator. (Note: Take into account the phase shift of the transformer.) c) Find the generator terminal voltage in kV and the real power supplied by the generator in MW d) By omitting the transformer phase shift altogether, check to see whether you get the same magnitude of generator terminal voltage and real power delivered by the generator.no-load speeds possible with this motor? Which of the following best describes nativism in the 1800s?