5 female giraffes have a mean weight of x kg
7 male giraffes have a mean weight of y kg
Write down an expression, in terms of x and y, for the mean weight of all the giraffes.

Answers

Answer 1

Step-by-step explanation:

Weight of all female giraffes = 5x kg

Weight of all male giraffes = 7y kg

Mean weight of all giraffes

[tex] = \frac{5x + 7y}{5 + 7} \\ \\ = \frac{5x + 7y}{12} \: kg[/tex]

Answer 2

The mean weight of all the giraffes, in terms of x and y, is calculated by adding the total weights of both female and male giraffes and then dividing by the total number of giraffes. The expression for the mean weight is (5x + 7y) / 12.

To find the mean weight of all the giraffes in terms of x and y, we must first calculate the total weight of female and male giraffes separately and then combine these totals to find the overall mean.

For the 5 female giraffes: Total weight = 5 × x = 5x kg

For the 7 male giraffes: Total weight = 7 × y = 7y kg

Then, we add these together to get the combined total weight: Combined total weight = 5x + 7y kg

Since there are 5 + 7 = 12 giraffes in total, we then divide the combined weight by the number of giraffes to find the overall mean weight.

Overall mean weight = (5x + 7y) / 12


Related Questions

How many ice creams can be made with Three ice cream flavors three syrup flavors at three types

Answers

answer: you can get 27 different combinations

If you had 12 pieces of licorice to share equally among 5 people, how much licorice would each person get? Be sure to show your thinking clearly.

Answers

Answer:

Each person will be getting [tex]2\frac{2}{5}[/tex] pieces  of licorice

Step-by-step explanation:

If we have 12 pieces of licorice

To divide it equally among 5 people following formula will be used

Pieces to be given to each person = [tex]\frac{total\, pieces}{total\,people}[/tex]

                                                           = [tex]=\frac{12}{5} \\2.4\\[/tex]

So

Each person will be getting [tex]2\frac{2}{5}[/tex] pieces  of licorice

Keywords: Algebra

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A businessman bought a fairly used radio set for 950 dollars and spent 250 dollars for repairing it before selling it for 1500 dollars. what is the percentage profit?​

Answers

I believe it's a 25% profit.

950+250= 1200

1500-1200= 300

300/1200= 0.25

0.25 x 100= 25%

Answer:

I want to say 20% I could be wrong

Step-by-step explanation:

$950 + $250 = 1,200

1,200 ÷ 1500 = 0.8

0.800 > 80.0

80%

100% - 80% = 20%

Net Profit Margin = 20%

Net Profit =$300

Profit Percentage = 25%

The speed of a boat in still water is 50km/h. It takes the same time for the boat to
travel 10km upstream as it does to travel 20km downstream. Find the speed of the
current.​

Answers

The speed of a boat in still water (b) is 50km/h. It takes the same time (t) for the boat to travel 10km (x) upstream as it does to travel 20km (y) downstream. Find the speed of the current.​

upstream speed (u) = speed in still water (b) - stream speed (s) = b-s = 50-s

downstream speed (d) = speed in still water (b) + stream speed (s) = 50+s

time (t) = x/u = y/d

10/(50-s) = 20/(50+s)

10(50+s) = 20(50-s)

500 + 10s = 1000 - 20s

30s = 500

stream speed (s) = 500/30 = 16.6 km/h

5(6x - 1) - 10x + 5 = 4(x + 10) - 4x

Answers

Answer:

x=2

Step-by-step explanation:

5(6x-1)-10x+5=4(x+10)-4x

simplify both sides

30x-5-10x+5=4x+40-4x

Simplify even further

20x=40

x=2

Which of the following points is NOT a solution to the inequality: y ≥ 2x − 10?

(5,0)

(-1,1)

(4,2)

(6, -2)

Answers

the answer to this is (6,-2)

Samir, a carpenter Spent $300 on specialty tools to make toy horses for children for each horse he makes he spent $75 on supplies he charges $125 for each horse how many horses does Samir sell in order to break even ?

Answers

Assuming he spent $300 on specialty tools to make toy horses for children the number of   horses that  Samir sell in order to break even is 6 horses.

First step is to calculate his profit

Profit=$125-$75

Profit=$50

Now let determine how many horses does Samir sell in order to break even

Number of horse=$300/50

Number of horses=6 horses

Inconclusion the number of  horses that  Samir sell in order to break even is 6 horses.

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Answer:6

Step-by-step explanation:

Julie is 6 feet tall. If she stands 15 feet from the flagpole and holds a cardboard square, the edges of the square line up with the top and bottom of the flagpole. Approximate the height of the flagpole

Answers

Answer:

43.5 ft

Step-by-step explanation:

Given: Julie is 6 feet tall

           She stands 15 feet from the flagpole.

           The edges of the square line up with the top and bottom of the flagpole.

Picture drawn to show side and angle formed by Julie and flagpole.

Lets assume the height of flagpole be "h".

As given, the edges of the square line up with the top and bottom of the flagpole.

∴ Angle and base of triangle are same then ratio of corresponding sides are also equal.

Now, finding the height of flagpole by using tangent rule.

we know, [tex]tan\theta= \frac{Opposite}{adjacent}[/tex]

Remember, both the angle are equal.

∴ Ratio of opposite and adjacent leg for both right angle triangle= [tex]\frac{6}{15} : \frac{h-6}{15}[/tex]

We can put it; [tex]\frac{6}{15} = \frac{15}{h-6}[/tex]

Solving the equation now

⇒ [tex]\frac{6}{15} = \frac{15}{h-6}[/tex]

Multiplying both side by 15

⇒[tex]6 = \frac{15\times 15}{h-6}[/tex]

Multiplying both side by (h-6)

⇒ [tex]6\times (h-6) = 15\times 15[/tex]

Distributive property of multiplication

⇒ [tex]6h-36= 225[/tex]

Adding both side by 36

⇒[tex]6h= 225+36[/tex]

Dividing both side by 6

⇒[tex]h= \frac{261}{6}[/tex]

∴ [tex]h= 43.5\ feet[/tex]

Hence, the height of flagpole is 43.5 feet.

The height of the flagpole is given by the length of the hypotenuse side

formed by the right triangle Julie forms with the cardboard.

Response:

Height of the flagpole is 17.4 feet

Which method is used to calculate the height of the flagpole?

The triangle formed by the edges of square lined up with the top and

bottom of the flagpole is a right triangle.

The altitude of the right triangle formed with the height of the flagpole as the base = 15 feet

Length of a leg of the right triangle = √(15² + 6²) = 3·√(29)

The other angle formed by the right triangle = (90° - arctan(15/6))

h × sin(arctan(15/6)) = 3·√29

[tex]h = \mathbf{\dfrac{3 \cdot \sqrt{29} }{sin(arctan(15/6))} } = 17.4[/tex]

Height of the flagpole, h = 17.4 feet

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What are the solutions to the equation 3(x - 4)(x + 5) = 0?
O
O
O
x= 4 or x = 5
x= 3, x = 4, or x = -5
x= 3, x= -4, or x = 5
x = 4 or x = -5

Answers

Answer:

Step-by-step explanation:

3(x - 4)(x + 5) = 0

Dividing through by 3

(x - 4)(x + 5) = 0

(x - 4) = 0 or x + 5 = 0

x - 4 = 0 or x + 5 = 0

x = 4 or x = - 5

How many thousands are in 38,000

Answers

Answer: 38

Step-by-step explanation:

Divide 38000/1000

Answer:

Step-by-step explanation: How many 10,000 are in 200,000

Want three fractions are the same2/4 4/6 5/8 3/6 2/3 6/9

Answers

Answer:

2/4 .   4/6 .   2/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

2/4=1/4

4/6=2/3

5/8

3/6

6/9=3/6

Paul runs 4.8 km every morning. How many feet are in 4.8 km, given that 1 mile = 1.609 km and 1 mile = 5,280 feet?

1,769.90 feet
8,495.52 feet
12,437.42 feet
15,751.40 feet
plz help brainlist

Answers

Answer:

Step-by-step explanation:

1.609 km=1 mile

1 km=1/1.609 mile

[tex]4.8 km=\frac{4.8}{1.609} ~miles=\frac{4.8*5280}{1.609} \approx~15,751.40~ft[/tex]

Answer:

the answer is D 15,751.40

1 Kilometer is equal to 3,280.839895 feet which is approximately 3,281 feet.

multiply 3,281 feet by 4.8 = 15,748.8 which can be rounded to make 15,751.40.

In total making the correct answer choice D.

(SAT Prep) Find the value of x in each of the following exercises:
JIMGRANT1 CAN YOU PLEASE DO MY OTHER QUESTION AND THIS ONE.

Answers

Answer:

X=40 degrees

Step-by-step explanation:

Having trouble with RSM?

The value of angle x will be equal to 40 degrees.

What are corresponding angles?

According to the equivalent angle postulate, if a transversal meets two parallel lines, the corresponding angles must be congruent.

In other words, the corresponding angles will always be identical if a transversal intersects two parallel lines. In geometry, corresponding sides and corresponding angles of polygons are compared as part of the tests for congruence and resemblance.

In the diagram attached with the answer below apply the corresponding angle theorem to calculate the value of x.

The value of angle x by using corresponding angle theorem will be calculated as below:-

x = 180 - 65 - 75

x = 180 - 140

x = 40

Therefore, the value of angle x will be equal to 40 degrees.

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If a=2b^3 and b= -1/2c ^-2,express a in terms of c.

Answers

Answer:

Part 1) [tex]a=-\frac{1}{4c^6}[/tex]

Part 2) [tex]a=-\frac{1}{4c^{-6}}[/tex]

Step-by-step explanation:

Part 1) we have

[tex]a=2b^{3}[/tex] ----> equation A

[tex]b=-\frac{1}{2}c^{-2}[/tex] ----> equation B

substitute equation B in equation A

[tex]a=2(-\frac{1}{2}c^{-2})^{3}[/tex]

Applying property of exponents

[tex](x^{m})^{n}=x^{m*n}[/tex]

[tex]x^{-m} =\frac{1}{x^{m}}[/tex]

[tex]a=2(-\frac{1}{2}c^{-2})^{3}=2(-\frac{1}{2})^3(c^{-2})^{3}=2(-\frac{1}{8})(c^{-6})=-\frac{1}{4c^6}[/tex]

therefore

[tex]a=-\frac{1}{4c^6}[/tex]

Part 2) we have

[tex]a=2b^{3}[/tex] ----> equation A

[tex]b=-\frac{1}{2c^{-2}}=-\frac{c^{2}}{2}[/tex] ----> equation B

substitute equation B in equation A

[tex]a=2(-\frac{c^{2}}{2})^{3}[/tex]

Applying property of exponents

[tex](x^{m})^{n}=x^{m*n}[/tex]

[tex]x^{-m} =\frac{1}{x^{m}}[/tex]

[tex]a=2(-\frac{c^{2}}{2})^{3}=2(-\frac{c^{6}}{8})[/tex]

simplify

[tex]a=-\frac{c^{6}}{4}[/tex]

therefore

[tex]a=-\frac{1}{4c^{-6}}[/tex]

2. Janet baby-sat for 28 hours over two weeks. She earned $5.00 an hour. What was her gross
pay?

Answers

Answer:

$140

Step-by-step explanation:

Answer:

$140.00

Step-by-step explanation:

Gross pay is the pay before any deductions by taxes or other reason.

Simply multiply the five dollars by twenty-eight hours.

what is 2x cubed plus 2x squared simplified too

Answers

Answer:

4x^4

Step-by-step explanation:

Cubed and squared are the same thing

BRAINLESS PLS

I really need help with this math problem

Answers

Common difference = [tex]\frac{1}{5}[/tex]

Solution:

Given arithmetic sequence:

[tex]$-2,-1\frac{4}{5} ,-1\frac{3}{5} , -1\frac{2}{5} , ....[/tex]

Let us first convert the improper fraction into mixed fraction.

[tex]$-2,-\frac{9}{5} ,-\frac{8}{5} , -\frac{7}{5} , ....[/tex]

Difference between two numbers in an arithmetic sequence is the common difference.

[tex]$a_2-a_1=-\frac{9}{5}-(-2)=-\frac{9}{5}+2=\frac{1}{5}[/tex]

[tex]$a_3-a_2=-\frac{8}{5}-\left(-\frac{9}{5}\right)=-\frac{8}{5}+\frac{9}{5}=\frac{1}{5}[/tex]

[tex]$a_4-a_3=-\frac{7}{5}-\left(-\frac{8}{5}\right)=-\frac{7}{5}+\frac{8}{5}=\frac{1}{5}[/tex]

Common difference = [tex]\frac{1}{5}[/tex].

Hence the common difference of the arithmetic sequence is [tex]\frac{1}{5}[/tex].

[tex]\frac{1}{5}[/tex]

Common difference of the given arithmetic sequence is equal to [tex]\frac{1}{5}[/tex]

Explanation:

The given arithmetic sequence is in mixed numbers. Converting them into proper fractions, we get:

[tex]First\ term = t_1 = -2\\\\Second\ term = t_2 = -1\frac{4}{5} = -\frac{(5\times1)+4}{5} = -\frac{9}{5}\\\\Third\ term = t_3 = -1\frac{3}{5} = -\frac{(5\times1)+3}{5} = -\frac{8}{5}\\\\Fourth\ term=t_4 = -1\frac{2}{5} = -\frac{(5\times1)+2}{5} = -\frac{7}{5}[/tex]

The sequence can thus be rewritten as [tex]-2, -\frac{9}{5}, -\frac{8}{5}, -\frac{7}{5}[/tex]

To find the common difference of the given arithmetic sequence, subtract any two consecutive numbers of the sequence. The difference between two consecutive numbers is always a constant and is termed as the common difference.

Hence,

[tex]d_1= t_2-t_1=(-\frac{9}{5} -(-2)= \frac{-9+10}{5}= \frac{1}{5} \\\\d_2=t_3-t_2= (-\frac{8}{5} -(-\frac{9}{5} )= \frac{-8+9}{5} = \frac{1}{5}\\\\d_3=t_4-t_3= (-\frac{7}{5} -(-\frac{8}{5} )= \frac{-7+8}{5} = \frac{1}{5}[/tex]

[tex]d_1=d_2=d_3 = d[/tex]

Common difference [tex]d=\frac{1}{5}[/tex]

2.4 X 10 -1 in standard form

Answers

Answer:

Step-by-step explanation:

0.24

Kira, Bill, and Michael served a total of 134 orders Monday at the school cafeteria. Michael served 3 times as many orders as Kira. Bill served 9 more orders that Kira. How many orders did they each serve?

Answers

Answer:

Kira served 25 orders, Bill served 34 orders and Michael served 75 orders.

Step-by-step explanation:

Let Kira served x number of orders.

So, Bill served (x + 9) orders and Michael served 3x orders.

Now, it is given that Kira, Bill, and Michael served a total of 134 orders.

So, x + (x + 9) + 3x = 134

⇒ 5x + 9 = 134

⇒ 5x = 125

x = 25

Therefore, Kira served 25 orders, Bill served (25 + 9) = 34 orders and Michael served 3 × 25 = 75 orders. (Answer)

Rewrite 3/4x+2=9/10 so that it doesn’t have fractions

Answers

The equation with no fractions is:

30x + 80 = 36

Solution:

Given that the equation is:

[tex]\frac{3}{4}x+2=\frac{9}{10}[/tex]

We have to rewrite the equation such that there is no fraction

From given expression,

[tex]\frac{3}{4}x+2=\frac{9}{10}[/tex]

Simplify the left hand side of equation

[tex]\frac{3x+8}{4} = \frac{9}{10}[/tex]

Cross multiply to get a simpler equation

[tex]10(3x+8) = 9 \times 4\\\\Simplify\ the\ above\ expression\\\\30x + 80 = 36[/tex]

Thus the equation is rewritten with no fractions

Final answer:

To rewrite the equation 3/4x + 2 = 9/10 without fractions, we multiply every term by the lowest common denominator (20) to get 15x + 40 = 18. Then, we isolate x by subtracting 40 from both sides to get 15x = -22. We solve for x by dividing both sides by 15, resulting in x = -22/15.

Explanation:

The aim is to rewrite the equation 3/4x + 2 = 9/10 without fractions. To get rid of the fractions, we'll multiply each term by the lowest common denominator (LCD). In this case, the LCD is 20 because it's the smallest number both 4 and 10 can both go into. The equation thus becomes: 20*(3/4x) + 20*2 = 20*(9/10)

This simplifies to: 15x + 40 = 18

Now, to isolate x, we start by subtracting 40 from both sides:

15x + 40 - 40 = 18 - 40

So, 15x = -22. Finally, to solve for x, we divide by 15:

x = -22/15

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what is 2 3/4 - 1/3

and how did you get that answer

Answers

2 and 3/4 can be rewritten as 11/4. We want to find a common denominator to subtract the two numbers, and the smallest one would be 12. 11/4 -> 33/12, 1/3 -> 4/12. (33/12) - (4/12) = 29/12 = 2 and 5/12.

Answer:

Step-by-step explanation:

2 3/4 = 11/4

11/4-1/3

11/4x3=33/12

1/3x4= 4/12

33-4=29

2 5/12

A coffee shop offers 2 types of coffee: regular and decaffeinated; 3 types
of flavoring: vanilla, hazelnut, and caramel; and 2 choices of topping: with
or without whipped cream. How many possible choices are there?
12 choices
16 choices
14 choices
18 choices

Answers

Answer:

12 choices

Step-by-step explanation:

2*3 = 6

6*2= 12

You would have to multiply the numbers to see the number of choices.

There are 12 different choices for coffee in the shop.

How many choices are there?

First, we need to find the selections, these are:

Type of coffee.Type of flavoring.Topping.

Now we need to find the number of options for each selection:

Type of coffee: (2 options)Type of flavoring: (3 options)Topping: (2 options).

The total number of combinations is the product between the numbers of options:

C = 2*3*2 = 12

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Q(9,10) . R(-5,2) . S(-8,-2) . T (-1,2) . Parallel or Perpendicular

Answers

Answer:

Perpendicular

Step-by-step explanation:

Put all the points on a graph.

Parallel means that the lines that have the same slope and different y-intercepts. Lines that are parallel to each other will never intersect.

On the graph we made we can see that the lines will have to intersect because the points are in positions that no matter which points we chose to connect together, they would intersect with the other line.

Miranda worked Monday at her part time job and earned $71.75 for 7 hours. How much would Miranda earn after working 15 hours?

Answers

Answer:

$153.75

Step-by-step explanation:

$71.75 / 7=$10.25

$10.25 x 15 =$153.75

Solve using touch points: 620+207=

Answers

Answer:827

Step-by-step explanation:

Add 620 plus 207

Answer:827


add 620 and 207

What equation can be used to find how many fluid ounces are in 4 cups.

Answers

There are 32 fluid ounces in 4 cups

Explanation:

In order to solve this problem, you need to know some facts:

[tex]1oz=0.125cups \\ \\ 1cup=8oz[/tex]

By knowing this, we can easily solve this problem by proportion:

[tex]Let: \\ \\ x:Fluid \ ounces \\ \\ \frac{x}{4}=\frac{1}{0.125} \\ \\ x=\frac{4}{0.125} \\ \\ x=32[/tex]

So there are 32 fluid ounces in 4 cups

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complete the inequality statement. 4/13. 6/13​

Answers

Answer:

6/13 > 4/13

4/13 < 6/13

Step-by-step explanation:

An experiment consists of flipping a single coin followed by rolling a six-sided cube (a die).
What is the probability of getting a head followed by a 6?
[tex]\frac{?}{?}[/tex]

Answers

Answer:[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

Okay, first, you want to find the probability of getting a head, which would be 1/2 because there are two options and we are only looking for one out of the two. Then, the probability of getting a 6 would be 1/6 because there is only one chance of getting a 6 and there are 6 options. Next, you would have to multiply both quantities to find out what the probability would be of getting both. So it would be [tex]\frac{1}{2}[/tex] ×[tex]\frac{1}{6}[/tex]=[tex]\frac{1}{12}[/tex]

Probability of getting a head followed by a 6 is 1/12

Step-by-step explanation:

There are 2 possible outcomes of tossing a coin a head and a tail.

The probability is 1 out of 2 each for head and tail.

Probability of getting a 6 when a dice is rolled is 1 out of 6 for each face i.e 1,2,3,4,5,6

So the probability of getting a head followed by 6 is 1/2*1/6 = 1/12

It can also be understood as below.

There can be 12 possible combinations once a coin is tossed and a die is rolled. Head-1, Head-2. Head-3, Head-4, Head-5, Head-6, Tail-1, Tail-2, Tail-3, Tail-4, Tail-5, Tail-6

In the list there is 1 outcome that we need. Head-6. This again gives us the chance of getting Head-6 as 1 out of 12.

Jackie practices her piano for 1/2 an hour on Monday Wednesday and Friday she practices for 2/3 of an hour on Tuesday Thursday Saturday she practices for 1 hour on Sunday how many hours does Jackie practice her piano each week

Answers

Answer:

4 and a half hours

Step-by-step explanation:

half an hour ((60 x 1) / 2) for 3 of the days (30 x 3) is 90 so 1 and a half hours. then, 2/3's of an hour ((60 x 2) / 3) for 3 days (40 x 3) is 120 so 2 hours. then, adding the last hour 1.5 + 2 + 1 is 4.5 or 4 and a half hours.

Choose the number equal to: 2/3 divided by (-3)

A) -2
B) - 2/9
C) 2/9
D) 2

Answers

Answer:

-0.22222222222

Step-by-step explanation:

Which is (B)

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They leaped like deer on the moon. The studio ceiling was thirty feet high, but each leap brought the dancers nearer to it. It became their obvious intention to kiss the ceiling. They kissed it. And then, neutralizing gravity with love and pure will, they remained suspended in air inches below the ceiling, and they kissed each other for a long, long time. It was then that Diana Moon Glampers, the Handicapper General, came into the studio with a double-barreled ten-gauge shotgun. She fired twice, and the Emperor and the Empress were dead before they hit the floor.How does the tone shift when Diana Moon Glampers shows up?Question 8 options:The passage begins with an appreciative and admiring tone, but shifts to one of shock and sadness.The passage begins with an accusatory tone, but shifts to a celebratory tone.The passage begins with an apologetic tone, but shifts to a cynical tone.The passage begins with a disapproving tone, but shifts to an enthusiastic tone. PLEASE HELP!Suppose the radius of a circle is 8 What is its circumference? China had a $214 billion overall current account surplus in 2012. Assuming that Chinas net debt forgiveness was zero in 2012 (its capital account balance was zero), what was the net balance of Chinna's financial account balance?Instructions: Enter your answer as a whole number. If you are entering a negative number be sure to include a negative sign (-) in front of that number.$ ________ billion. The sides 5, 6, and 12 form a triangle. True or False HELP WILL GIVE BRAINLIESTa) Rewrite 0.00000296 in scientific notation. Explain.b) Write7.35x10^-5 in standard form. Explain. My biggest goal in life is... Consider this scatter plot.(a) How would you characterize the relationship between the hours spent on homework and the testscores? Explain.(b) Paul uses the function y = 8x + 42 to model the situation. What score does the model predict for 3 hof homework? Why do Woodrow Wilson contradict his beliefs with his actions? On another map the distance between saugerties and kingston is 2 inches. Whar would tge distance from saugerties to catskill be on this map Dr. Renk would like to study the "hook up" culture among college students. To be able to generalize their findings to all college students, she needs a representative sample. To obtain such a sample, Dr. Renk should? Type this word with correct spelling.m t draw the major product, including regiochemistry, for the reaction of hex-3-yne with one equivalent of HCl. Is it an E configuration, Anti addition, Z configuration, syn addition? My sister was fooling around wi her money the other night and left the coins in a pattern of four rows with four coins in each row. Each row had exactly one penny, one nickel,one dime , and one quater