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?

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.

Copy and insert two pairs of brackets to make the equation true. 1 + 2 x 3 + 4 x 5 +6 x 7+ 8 x 9 = 505

The are of this triangle is 40cm squared. Find the value of Y

here you go:) [(-2/3, 7/2]. 3x-8y = 1. * 16x+2y=1114. + 24x+8y=44. 27y=45. (2x-5y=-472. 4x+3y=5. - 4x70y=8. 13y=13. 27 27. (5x-2y=-15 )s. [ 7x+3y=18 ) 2.

Which method is best to use to solve the equation 4x2−29=0?(1 point)

quadratic formula

completing the square

factoring

Square Root Property

2Is the quadratic formula the most efficient method for solving x2−x−42=0? Explain.(1 point)

No, completing the square is the most efficient method because the equation begins with x2.

No, factoring is the most efficient method because the expression on the left is factorable.

Yes, the quadratic formula is the most efficient method because it provides the fewest calculations.

Yes, the quadratic formula is the most efficient method because it provides the correct answer.

3.Which is the most efficient method to use when solving 3x2+5x+1=0?(1 point)

completing the square

quadratic formula

factoring

Square Root Property

4.Speculate which solution method is the most appropriate for solving the equation, then solve.

x2−3x−10=0

(1 point)

quadratic formula; x=2, −5

quadratic formula; x=−2, 5

factoring; x=−2, 5

factoring; x=2, −5

5.A quadratic equation has coefficients a=4, b=−8, and c=4. Which method is the most efficient way to solve for x?(1 point)

completing the square

factoring

Square Root Property

quadratic formula

What expression can be used to determine the total cost of buying "a" pounds of almonds for ​$4.45 per pound and "f" pounds of flour for ​$0.85 per​ pound?

3 cups of tea and 4 cups of coffee costs £3.45 in total.
4 cups of tea and 1 cup of coffee costs £2.65 in total.
How much would it costs to buy one cup of each in total?​

8(g+–4)+5g
answer
this
please-

If a man walks 150m down the street, stops to ask for directions, then walks 1 point
another 30m to his destination, what is his total distance walked? *
150m
120m
180m

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PLEASE HELP

The table shows values for functions f(x) and g(x)
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enlarge the triangle by scale factor -1.5 with centre of enlargement (3,6)

I need help with this. Please!

6 ft
3 ft
6 ft
15 ft
Find the area of the figure above.

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A.3/7
B.3/4
C.8/5
D.7/4

Witch one would you pick


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Susie is 5 years old and her mother is 29. In how many years will Susie be
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4

The width of a rectangle is 3x − 7. The length of the rectangle is 4x + 5. Find the area of the rectangle. Justify your result

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The daily special at the House of Pies offers one of three featured pies and your
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Is 7.9 greater less than or equal to 6.964

<><><><>Simple true and false math<><><><>

Can anyone help me with this question Please .

There are eight employees on the Game Shop's sales teams. Last month, they sold a total of g games. One of the sales teams members, Chris, sold seventeen fewer games than what the team averaged per employee. How many games did Chris sell?

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Todoroki's training practice starts at 9:45 A.M and ends at 12:35 P.M. How long is Todoroki's training practice?

(5x + 45 to the 6th power.)4



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3(m + 3) =
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