Mathematics High School

At the zoo, Peter saw 9 animals. Some are kangaroos and some are
elephants. There are 30 legs in all. How many of each animal are there?

Answers

Answer 1

Answer:

6 elephants and 3 kangaroos in the zoo.

Step-by-step explanation:

Number of animals = 9

Number of legs seen = 30

But an elephant has 4 legs, while a kangaroo has 2 legs.

Let the number of elephant be represented by E, and the number of kangaroo by K.

So that,

E + K = 9 .................. 1

4E + 2K = 30 ............. 2

Multiply equation 1 by 2 to have

2E + 2K = 18 ............ 3

Subtract equation 3 from 1

2E = 12

E = 6

Substitute the value of E in equation 1

E + K = 9

6 + K = 9

k = 3

Thus, there were 6 elephants and 3 kangaroos in the zoo.

Related Questions

Multiply.

−3/7xy(−35x^3y^2)



Enter your answer in the box.

Answers

Answer:

[3] / [(245)(x^4) (y^3)]

Step-by-step explanation:

Jose paid $4.98 in sales tax on an item that cost $62 before tax. At that rate, how much would he pay in sales tax for an item that costs $28.00 before tax?

Answers

Answer:

net price is without  tax

gross with tax

Which of the following is an equation with ONE solution?

A
2x = 2x + 18

B
2x - 10 = 2(x - 5)

C
5(x + 3) + x

D
2x + 5= 11 - 4x

Answers

D is the answer. I hope this helps!

Alicia purchased h half gallons of ice cream for 3.50 each p packages of ice cream cones for 2.50 each she purchased 14 items and spent 43$ which system of equations could be used to determine how many of each item Alicia purchased

Answers

Answer:

H + P = 14

3.50H + 2.50P = 43

Step-by-step explanation:

Given that

H denotes half gallons of ice cream

P denotes packages of ice cream cones

Now  

H + P = 14

And,  

3.50H + 2.50P = 43

So, the systems of equations would be

H + P = 14

3.50H + 2.50P = 43

Teresa has made 124 bags of treats. Each person was able to take 2 bags home. If there were 40 people, how many extra bags were left?

Answers

Answer:

31

Step-by-step explanation:

Answer:

the answer to your question would be 44

What is 234475 x 45678 =?

Answers

what i got for the answer is 1.07103e10

help please! im really confused and stuck

Answers

To find the area of a circle, use the following formula; A = πr^2

The radius of a circle is half the diameter.

So;


4.) 18/2 = 9

Radius = 9


(3.14)9^2

9(9) = 81(3.14)

254.34 is the area of figure #4.


5.) 12/2 = 6

A = (3.14)(6)^2

A = (3.14)(36)

113.04(2) Because there are two pizzas.

226.08



Number 4 gives the most amount of pizza. So, one 18 in. pizza.

The drama club is selling gift baskets to raise money for new costumes. During the fall play, they sold a combined 18 regular gift baskets and 19 deluxe gift baskets, earning a total of $1,158. During the spring musical, they sold 15 regular gift baskets and 12 deluxe gift baskets, earning a total of $804. How much are they charging for the different sized gift baskets?

Answers

Answer:

The cost of

Regular baskets = x = $20

Deluxe baskets = y = $42

Step-by-step explanation:

The drama club is selling gift baskets to raise money for new costumes.

Let us represent:

The cost of

Regular baskets = x

Deluxe baskets = y

During the fall play, they sold a combined 18 regular gift baskets and 19 deluxe gift baskets, earning a total of $1,158.

Hence:

18x + 19y = 1158....... Equation 1

During the spring musical, they sold 15 regular gift baskets and 12 deluxe gift baskets, earning a total of $804.

15x + 12y = 804...... Equation 2

Combining them two Equations

18x + 19y = 1158....... Equation 1

15x + 12y = 804...... Equation 2

Multiplying Equation 1 by 15 and Equation 2 by 18 to Eliminate x

270x + 285y = 17370..... Equation 3

270x + 216y = 14472...... Equation 4

We Subtract Equation 4 from Equation 3.

69y = 2898

y = 2898/69

y = $42

Solving for x

18x + 19y = 1158....... Equation 1

18x + 19 × 42 = 1158

18x + 798 = 1158

18x = 1158 - 798

18x = 360

x = 360/18

x = $20

Therefore,

The cost of

Regular baskets = x = $20

Deluxe baskets = y = $42

what is the answer for 2x+6y+7x

Answers

Answer:

9x + 6y

Step-by-step explanation:

The answer should be Y= -3/2x

whats 2÷1 to the 2nd power​

Answers

Answer: its going to be 2

Step-by-step explanation: simplify 1 to the second power would be 1*1 and 2 divide by 1 is 2 hope this helps :D

Answer:

4

Step-by-step explanation:

PLEASE HELP ME!!!!
what is the first quartile of the set of data shown below? 16,23,25,39,45,78,95

Answers

Answer:

23

Step-by-step explanation:

Hey guys again please I suck at math

Answers

Answer:

the correct answer is number 2

Step-by-step explanation:

X3 - 4x - 16x-24

Answer:

the answer is B

Step-by-step explanation:

X3-4x2-16x+24

each unit cube measured 1 inch3. what is the maximum volume of the prims

Answers

Answer:

1 x 3 x 1 = 3

Step-by-step explanation:

What is the lateral surface area of the square pyramid represented by this net?

Enter your answer in the box

__ft² ​

Answers

Answer:

If you know the answer to this just put it down below

Step-by-step explanation:

Zoom in to view well
Thanks

Answers

Answer:

the answer is c. ........

Answer:

C.

Step-by-step explanation:

Mary has 36 flower pots. She plants daisies in 2/3 of her flower pots. In how many flower pots does Mary plant daisies?

Answers

Answer:

24

Step-by-step explanation:

36 Divided by three times 2 = 24 since fractions are division problems

Answer:

24 pots have daisies in them.

Step-by-step explanation:

36÷3= 12 and 12×2=24

WILL MARK YOU BRAINLIEST

Answers

Answer:

because JKML is a parallelogram

=> JK // ML

=> KJM + LMJ = 180⁰

<=> 3x + 20 + 5x - 8 = 180⁰

<=> 8x = 168

<=> x = 21

with x = 21 => L = 4.21 - 1 = 84 - 1 = 83⁰

Gabriel is at the grocery store, and wants to figure out his total cost before he gets to the register. He bought 2.5 pounds of apples that are x dollars a pound and 2 bags of lettuce for y dollars each. Gabriel remembers he has a coupon for $2 off his bill.

Gabriel has $30 to pay for the groceries. What simplified expression would represent the amount of change he should receive

Answers

Answer:

32 - 2.5x - 2y

Step-by-step explanation:

He bought 2.5 pounds weight of apples for x dollars a pound. Thus, cost is 2.5x.

He bought 2 bags of lettuce for y dollars each. Thus, cost is 2y

Total bill cost = 2.5x + 2y

We are told he has a coupon for $2 off his bill.

This means the amount he will pay will now be;

2.5x + 2y - 2

Gabriel has $30 to pay for the groceries.

Thus, his change will be;

30 - (2.5x + 2y - 2)

This gives;

32 - 2.5x - 2y

Answer:

D

Step-by-step explanation:

Tim is constructing a triangle with sides measuring 3 inches and 6 inches. Which could not be the length of the third side? A 2 in. B 4 in. C 6 in. D 8 in.

Answers

The answer is A 2.

The third side must be > A - B or 6 - 3 = 3.

The third side must be > 3 so only 2 does not fit.

Subtract equation two 3 digit numbers with different hundreds digits and a difference of less than 100

Answers

Answer:

690 - 595

Step-by-step explanation:

As we know that representation of a 3 digit number = xyz

where x [tex]\neq[/tex] 0

z is at ones place

y is at tens place

x is at hundred place

As, we have to subtract two 3 digits numbers with different hundred digits

So, Let

The hundred digit of first number be 6

The hundred digit of second number be 5

∴

Assume first number with hundred digit 6

Let the number be - 690

Now,

Assume second number with hundred digit 5

Let the number be - 595

Now,

We will check that the difference between both the numbers are less than 100 or not

Now,

690 - 595 = 95 < 100

It satisfies the condition

So, the equation becomes 690 - 595

Another customer calls you wanting to know how much fence they should install around the circumference of their circular garden if they bought 204 feet² of topsoil. Assume the customer created a circle out of the soil and calculate the circumference in linear feet. Remember you’ll need to calculate the radius first, then use it to calculate the circumference.

Answers

Answer- 50.63

A= πr^2
A is 204 so 204= πr^2
Make are R the subject and the answer of the radius will be 8.06.
The equation for circumference is 2 πr and now we have R so just substitute it into the equation and the answer is 50.63

HELP PLEASE!! is math 20 points

Answers

Answer:

0x = 0y

0

0x = 2y

x = 2y/0 = 0

2x = 2y

x = 2y/2 = y

4x = 3y

x = 3y/4

HOPE THIS HELPS YOU

Follw me = 10 thanks

Mark as brainliest = 10 thanks

1 thanks to me = 2 thanks

Multiply the following binomials using an area model (x+3)(x-3)*

Answers

Answer:

0

Step-by-step explanation:

what is the circumference of a circle that that is d=23 ft.

Answers

72.26 is the answer I think

Answer:

72.26ft

Step-by-step explanation:

The average depth of a certain ocean is 10,938 feet below the surface of the ocean.

Answers

Answer:

-10,938

Step-by-step explanation:

Since it is below sea level then it’s negative.

Hope this help!


Christian and Jaida are summer interns at a state park .They are helping to plant trees in an area where there was a forest fire .Christian’s uncle owns a tree nursery and is willing to donate a 3-foot tall tree that will grow 1.5 feet per year. Jaida goes to another nursery ,but is only able to get tree seeds donated according to the seed package the trees will grow 1.75 feet per year.

I NEED HELP WITH THE CHARTS!!!

Answers

Answer:

Step-by-step explanation:

okay hopefully i could explain it fast for you but

christian tree             jaida's tree

0 0                               0   0

1  1.5                              1  1.75

6  9                               6  10.5

11  16.5                          11  19.25

12   18                             12  21

13   19.5                           13  22.75

j /-2 + 7 = -12. what is the value of j
​

Answers

Answer:

j = 38

Explanation:

ʲ⁄₋₂ + 7 = -12

Subtract 7 From Both Sides

ʲ⁄₋₂ + 7 - 7 = -12 - 7

Simplify

ʲ⁄₋₂ = -19

Multiply Both Sides By -2

(-2) ʲ⁄₋₂ = -19 (-2)

j = 38

Answer:

38

Step-by-step explanation:

HELP PLS ASAP!!!!!!!!!!!!!!!!!!!!!!!! MATH! HELP! (BRAINLISYT) PLEASE HELP IM BEGGING YOU!!



What is the measure, in degrees of an angle that represents 50/360 of a circle?

90º


50º


360º

310º

Answers

Answer:

Step-by-step explanation:

360(50/360)=50

2x + y <-6
Graph the inequality above

Answers

Answer:

y<-6-2x

Step-by-step explanation:

3.02 x 10-1 =
A = 30.2

Answers

Answer:

3.02

x 10

-------

000

+302x

______

30.20

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