The ratio of keepers to animals in the city zoo is 2 : 7. The table shows the current numbers of animals and keepers in the zoo. If 21 more animals are added, how many total keepers are needed to maintain the ratio of keepers to animals?

City Zoo
Number of Keepers Number of Animals
12 42

Answers

Answer 1

Answer:

18

Step-by-step explanation:

42+12= 63

63/7=9

9*2=18

Answer 2

Answer:

18

Step-by-step explanation:

plato/edmentum


Related Questions

One triangle has an angle of 81 degrees and the corresponding angle of the other triangle is 2x - 5 degrees, find the value of x?

Answers

Answer:

[tex]x=43[/tex]

Step-by-step explanation:

Corresponding angles are equal. It is implied that the two angles referred to in the triangles are equal, otherwise they should not be labelled as corresponding.

Therefore, we can set both equations equal to each other:

[tex]2x-5=81^{\circ}[/tex]

Add 5 to both sides:

[tex]2x=86[/tex]

Divide both sides by 2:

[tex]x=\frac{86}{2}=\boxed{43}[/tex]

Through any two points there is exactly one _____

space.

plane.

line.

point.

Answers

Answer:

C. Line

Is the correct answer

The amount (mass) of Carbon in a 24 gram sample of Methane is 18 grams. Find the percent of carbon in the sample.

Answers

The percent of carbon in the 24 gram sample of methane is 75%.

To find the percent of carbon in the sample of methane, you can use the formula:

Percent of Carbon = (Mass of Carbon / Total Mass of Sample) * 100

Given that the mass of carbon in the sample is 18 grams and the total mass of the sample is 24 grams, we can substitute these values into the formula:

Percent of Carbon = (18 grams / 24 grams) * 100

Percent of Carbon = (0.75) * 100

Percent of Carbon = 75%

Therefore, the percent of carbon in the 24 gram sample of methane is 75%.Mass of Carbon: The problem states that the mass of carbon in the sample of methane is 18 grams. This means that out of the total mass of the sample, 18 grams is specifically attributed to carbon.

Total Mass of Sample: The total mass of the sample is given as 24 grams. This represents the combined mass of all the elements present in the sample, including carbon and hydrogen.

Percent Calculation: To find the percentage of carbon in the sample, we use the formula: (Mass of Carbon / Total Mass of Sample) * 100. This formula calculates the fraction of carbon relative to the total mass of the sample and converts it to a percentage.

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What is the value of a+b?
A) 110
B) 125
C) 135
D) 145

Please help!!!!

Answers

To find a you divide 90 by 2 which equals 45. So a=45
A circle has 360 degrees. So you add 90 and 110 together and get 200 degrees. So to find the rest you subtract 200 from 360.

360-200=160 degrees.

To find b we divide 160 by 2 and that equals 80. So b=80.

a+b=45+80=125.

The answer is B

If EC = 10cm what must AC be if ABCD is a parallelogram?
5
10
or 20?

Answers

Answer:

it is 20 vecause I say so yeah hey guts

What are the units of the area of the figure?
C5
millimeters
4 mm
cubic millimeters
square centimeters
O square millimeters
6 mm

Answers

Answer:

the answer is square millimeters

Difference between DIRECT and INDIRECT ratio?​

Answers

Step-by-step explanation:

In a direct proportion, the ratio between matching quantities stays the same if they are divided. (They form equivalent fractions). In an indirect (or inverse) proportion, as one quantity increases, the other decreases.  In an inverse proportion, the product of the matching quantities stays the same.

Answer:

Both direct and indirect proportion are a comparison between two quantities (usually with different units).

In a direct proportion, as one quantity increases, the other also increases.

Examples would include:

If you buy more packets, it will cost more money.

If you have further to travel it will take more time.

If more people are to be fed, more food will be need.

If more people are to be transported, more cars/buses are needed.

More petrol is needed for longer distances.

Bigger area of floor will require more tiles/paint/wood.

A longer distance will need more paces to cover.

More dresses to be made will require more material.

In a direct proportion, the ratio between matching quantities stays the same if they are divided. (They form equivalent fractions).

k

=

x

y

In an indirect (or inverse) proportion, as one quantity increases, the other decreases.

If more people share a task, it will be done in less time.

Travelling at a faster speed means a trip will take less time.

If sugar is packed in smaller packets, more packets will be needed for the same mass.

For the same amount of money, a small parcel can be sent further than a bigger parcel.

If more people are being fed, food will be used up quicker.

For a fixed amount of money, as the price of presents increases, fewer can be bought.

Walking with longer strides means fewer paces are needed.

In an inverse proportion, the product of the matching quantities stays the same.

k

=

x

×

y

A hyperbola is the graph of inverse proportion.

Step-by-step explanation:

, .

Any help is appreciated!!!!

Answers

Answer:

D

Step-by-step explanation:

because 3x - 12y = 15 has only numbers that are divisible by 3 leaving just one single x term, and the other terms simply reduce their used numbers to still integer numbers (4 and 5).

this makes it easier to be used in the other equation.

Can someone help me with this math homework please!

Answers

Answer:

250 + 200h = 300 + 180h

200h – 180h = 300 – 250

20h = 50

H = 2.5 credit hours

Step-by-step explanation: Hope this helps and good luck :))


[tex]2 ^{2x + 1} - 9.2 ^{x} + 4 = 0[/tex]
pleas I need this answer. I want to submit it now.​

Answers

[tex]\displaystyle\bf 2^{2x+1}-9\cdot 2^x+4=0 \quad ; \qquad \boxed{ 2^x=t \; ; \; 2^{2x}=t^2} \\\\2t^2-9t+4=0 \\\\D=81-32 =49 \\\\ t_1=\frac{9+7}{4} =4 \\\\ t_2=\frac{9-7}{4} =\frac{1}{2} \\\\1) \ 2^x=4 \Longrightarrow x_1=2 \qquad 2) \ 2^x=2^{-1}\Longrightarrow x_2=-1 \\\\Answer: \boxed{x_1=2 \quad ; \quad x_2=-1}[/tex]

Dave and Ellen are newly married and living in their first house. The yearly premium on their homeowner's insurance policy is $450 for the coverage they need. Their insurance company offers a 5 percent discount if they install dead-bolt locks on all exterior doors. The couple can also receive a 2 percent discount if they install smoke detectors on each floor. They have contacted a locksmith, who will provide and install dead-bolt locks on the two exterior doors for $50 each. At the local hardware store, smoke detectors cost $7 each, and the new house has two floors. Dave and Ellen can install them themselves.

Answers

Answer:

A. 4.44years

B. 1.5years

C. Yes

Step-by-step explanation:

a. Calculation to determine how many years will it take Dave and Ellen to earn back in discounts the cost of the dead-bolts

First step is to determine the Annual discount for dead-bolts using this formula

Annual discount for dead-bolts=Discount percent × Annual premium

Let plug in the formula

Annual discount for dead-bolts=0.05 × $450

Annual discount for dead-bolts=$22.50

Now let determine the Recovery period using this formula

Recovery period=Cost of dead-bolts / Annual discount for dead-bolts

Let plug in the formula

Recovery period= (2 × $50)/ $22.50

Recovery period=$100/$22.50

Recovery period= 4.44years

Therefore Assuming their insurance rates remain the same, how many years will it take Dave and Ellen to earn back in discounts the cost of the dead-bolts will be 4.44years

b. Calculation to determine How many years will it take Dave and Ellen to earn back in discounts the cost of the smoke detectors

First step is to calculate the Annual discount for smoke alarms using this formula

Annual discount for smoke alarms=Discount percent × Annual premium

Let plug in the formula

Annual discount for smoke alarms=0.02 × $450

Annual discount for smoke alarms=$9.00

Now let determine the Recovery period using this formula

Recovery period=Cost of smoke alarms / Annual discount for smoke alarms

Let plug in the formula

Recovery period=(2 × $7) / $9.00

Recovery period=$14/$9.00

Recovery period= 1.5 years

Therefore How many years will it take Dave and Ellen to earn back in discounts the cost of the smoke detectors will be 1.5years

C. YES, Based on the information I WOULD recommend Dave and Ellen to invest in the SAFETY ITEMS, if they plan to stay in that house for about 5 years reason been that a home that is equipped with HOME SAFETY ITEMS can help to prevent UNFORESEEABLE ACCIDENTS that may occur, which is why SAFETY ITEMS is vital for every home regardless of the recovery period.

It is a special kind of segment, ray, or line that intersects a given segment at a 90∘ 90 ∘ angle, and passes through the given segment's midpoint.

Answers

Answer:

Perpendicular bisector

Step-by-step explanation:

Given

The above statement

Required

What describes the given statement?

The term that describes the given statement is the perpendicular bisector.

This is so because:

- The perpendicular bisector passes through midpoints

- The point of intersection is at the [tex]90^o[/tex]

Find the volume of this cylinder. Use 3 for .
V = 7r2h
14 cm
2
V = T[?]?
28 cm
Hint: Plug in the value of the
radius for r. The radius is shown
directly in the diagram.

Answers

Step-by-step explanation:

V = πr²h

V = 3 × 14² × 28

v = 16464cm³


[tex]factorise : - \\ \\ 4x {}^{2} - 56x + 196 \\ \\ please \: help \: [/tex]

Answers

The answer will be:))))

[tex]\large\bold{\underline{\underline{ 4( {x - 7})^{2} }}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]4x {}^{2} - 56x + 196[/tex]

Take [tex]4[/tex] as the common factor.

[tex] = 4( {x}^{2} - 14x + 49)[/tex]

[tex] = 4( {x}^{2} - 7x - 7x + 49)[/tex]

Taking [tex]x[/tex] as common from first two terms and [tex]7[/tex] from last two terms, we have

[tex] = 4 \: [ x(x - 7) - 7(x - 7) ][/tex]

Taking the factor [tex](x-7)[/tex] as common,

[tex] = 4(x - 7)(x - 7)[/tex]

[tex] = 4( {x - 7})^{2} [/tex]

[tex]\bold{ \green{ \star{ \red{Mystique35}}}}⋆[/tex]

Which of the following statements is true?
A) All squares are rectangles.
B) All parallelograms are rectangles.
C) All rhombuses are squares.
D) All rectangles are squares. (D is Not the answer)

Answers

a) all squares are rectangles.

all sides are equal, opposite sides are equal, opposite sides are parallel, angles are equal, opposite angles are equal, and the sum of two adjacent angles is 180 degrees

Weiling took part in a Mathematics quiz which consist of 60 questions. For every correct answer, 3 marks would be awarded. For every wrong answer, 2 marks would be deducted. Weiling answered all the questions and scored a totał of 140 marks for the quiz. How many questions did she answer correctiy?

Answers

Answer:

Right answer = 52

Wrong answers = 8

Step-by-step explanation:

Every correct answer = + 3

Every wrong answer = - 2

Number of correct answers = x

Number of wrong answers = y

x + y = 60 - - - (1)

3x - 2y = 140 - - - (2)

From (1) :

x = 60 - y

Put x = 60 - y into (2)

3(60 - y) - 2y = 140

180 - 3y - 2y = 140

180 - 5y = 140

-5y = 140 - 180

-5y = - 40

y = 8

x = 60 - y

x = 60 - 8

x = 52

Right answer = 52

Wrong answers = 8

8.a. Simplify: 10a+46-(3a+2b)​

Answers

The answer is 7a+46-2b

10a+46-(3a+2b)

= 10a + 46 - 3a - 2b

= 7a - 2b + 46

£410 is divided between Gordon, Malachy & Paul so that Gordon gets twice as much as Malachy, and Malachy gets three times as much as Paul. How much does Malachy get?

Answers

Answer:

malachy got 123 euros

Step-by-step explanation:

if i m right than give me brainliest

.
Serenity has a points card for a movie theater.
She receives 80 rewards points just for signing up.
She earns 11.5 points for each visit to the movie theater.
She needs 195 points for a free movie ticket.
.
.
Write and solve an equation which can be used to determine v, the number of visits
Serenity must make to earn a free movie ticket.

Answers

11.5v + 80 = 195

11.5v - 80 = 195 - 80

11.5v = 115

divide each side by 11.5 and you should get v=10 (10 visits )

Identify the coefficient, variable, and exponent of the monomial: 4y3​

Answers

Answer:

The variable is y since it is a letter and is meant to hold value

The coefficient is 4 since in this equation 4 is multiplied by y

The exponent is 3 since it is after the variable

Hope This Helps!!!

Answer:

The coefficient is 4

The base and variable is y

The exponent is 3

Step-by-step explanation:

4y^3

The coefficient is 4

The base and variable is y

The exponent is 3

Drag numbers to the table so it shows a proportional relationship between x and y.

Answers

Answer:

7.5         30

45         180

Step-by-step explanation:

The given line has x = 1.25 and y = 5.

y/x = 5/1.25 = 4

x is multiplied by 4 to get y since 1.25 * 4 = 5.

That means the equation is

y = 4x

For a proportional function, every value of x must be multiplied by 4 to get y.

x = 7.5

y = 4x = 4(7.5) = 30

7.5          30

We need to find the values for the last line.

11 * 4 = 44

There is no 44

13.75 * 4 = 55

There is no 55.

17.5 * 4 = 70

There is no 70

30 * 4 = 120

There is no 120.

45 * 4 = 180

There is a 180.

45         180

Answer:

7.5         30

45         180

Describe fully the transformation that maps triangle a onto triangle B

Answers

Answer:

The transformation that maps Triangle A onto Triangle B is a reflection of Triangle A across the axis "y=-1".

Step-by-step explanation:

The transformation that maps triangle A to triangle B is a reflection over the line y = -1.

Given are two triangles A, we need to determine the transformation performed to get the image of triangle A, i.e., triangle B.

The coordinates of the triangle A are:
(1, -5), (1, -2) and (3, -2)

The coordinates of the triangle B are:

(1, 3), (1, 0) and (3, 0)

By comparing the corresponding vertices, we can observe that the x-coordinates remain the same while the y-coordinates change.

The transformation that maps triangle A to triangle B is a reflection over the line y = -1.

This reflection flips the triangle across the line, resulting in the change of sign for the y-coordinates while leaving the x-coordinates unchanged.

Hence the transformation performed to obtain triangle B from triangle A is a reflection over the line y = -1.

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Help me please im struggling I will mark as brainliest

Answers

Answer:

In picture

Step-by-step explanation:

Brainliest please ~

Answer: y = [tex]\frac{5}{3}x +5[/tex]

Step-by-step explanation:

This is how you find the slope: [tex]slope=\frac{rise}{run}=\frac{y1-y2}{x1-x2}[/tex]

Find two coordinate points. Let's use (-3,0) and (0,5). Based on this, we know that y1 is 0, y2 is 5, x1 is -3, and x2 is 0. Plug these into the formula:

[tex]\frac{0-5}{-3+0} =\frac{-5}{-3} =\frac{5}{3}[/tex]

So, the slope is [tex]\frac{5}{3}[/tex]

The y intercept is where the line hits the y graph. We can see that the y intercept is 5 (or (0,5))

Slope intercept form: y = mx + b, m = slope, b = y intercept

Plug everything in:

y = [tex]\frac{5}{3}x +5[/tex]


The pie chart shows how 36 pupils travel to school.
Use the pie chart to complete the table.
Bike
Walk
Travel to
school
Number
of pupils
Walk
9
120°
Car
Bus
Bus
Car
Bike
Total
36

Answers

Answer:

[tex]Bike = 7[/tex]

[tex]Car = 8[/tex]

[tex]Walk = 9[/tex]

[tex]Bus = 12[/tex]

Step-by-step explanation:

Given

[tex]Bus = 120^o[/tex]

[tex]Walk = 90^o[/tex]

[tex]Car = 80^o[/tex]

[tex]n = 36[/tex] --- pupils

Required

Determine the number of students in each category

This is calculated by dividing the measure of each category by 360; then multiply the result by the number of pupils:

So, we have:

[tex]Bus = \frac{120}{360} * 36 = \frac{1}{3} * 36 = 12[/tex]

[tex]Walk = \frac{90}{360} * 36= \frac{1}{4} * 36 = 9[/tex]

[tex]Car = \frac{80}{360} * 36 = \frac{80}{10} = 8[/tex]

To calculate the number of students that travel by bike, we have:

[tex]Car + Bike + Walk + Bus= n[/tex]

Substitute values

[tex]8 + Bike + 9+ 12= 36[/tex]

Collect like terms

[tex]Bike = 36 - 8 - 9 - 12[/tex]

[tex]Bike = 7[/tex]

Answer:

Look at picture

Step-by-step explanation:

A self-serve frozen yogurt shop has 8 candy toppings and 4 fruit toppings to choose from. How many ways are there to top a frozen yogurt?

hint.. correct answer is 4096

Answers

4096 ways : 8 candy toppings plus 4 fruit toppings is 12. Then 2^12 (2 different types of toppings and the 12 of total toppings) = 4096

what is the y-coordinate of the red point?

Answers

The y-coordinate of the red point is -3.


Each side of a square office is 3 meters long. It will cost $44.14 per square meter to replace
the carpet in the office. What would be the total cost to replace the carpet?

Answers

Answer:

3*3*44.14$

That's the answer

Use a calculator

13. Evaluate the function rule for the given value.
y = 4.2X for x = -6
Btw the x is the small exponent

Answers

Answer:

-25.2

Step-by-step explanation:

by replacing -6 on the place of x we get4.2(-6)=-25.2

What is the y-intercept of the line y = -3x + 7?
O A. -7
O B. 3
O C. 3
O D. 7

Answers

Answer:

Answer would be

D: 7

It’s D which is positive 7

To solve the equation t? - t = 12 by factoring, you would use
t(t - 1) = 12
Ott - 1) - 12 = 0
(t - 4)(t + 3) = 0

Answers

the answer is : t= 4 , -3

Answer:

it is what it is

Step-by-step explanation:

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