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

.Any number that has 9 as a factor also
has 3 as a factor. Why is this

Answers

Answer:

9 is divisable by 3.

A number that has 9 as a factor can be divided by 9 so it can also be divided by 3.

look at pic below please and figure out inverse tables

Answers

Answer:

a  -1

b 1

c 3

d 2

no

Step-by-step explanation:

Rearrange x= 3g + 2 to make g the subject

Answers

x = 3g + 2
3g + 2 = x
3g = x - 2
g = (x - 2)/3

Answer:

g = 1/3 x - 2/3

Step-by-step explanation:

x =3g + 2

Switch sides:

3g + 2 = x

Take away 2 from both sides:

3g = x - 2

Divide both sides by 3:

g = 1/3 x - 2/3

Lynn is making a snack. The recipes call for 38 cup of water for oats and 14 cup of water for dried fruit. She only has 1 cup of water. Does she have enough to make her snack? Explain. No. Both recipes call for more than 1 cup, so the recipes will use more than 2 cups altogether. No. Both recipes call for more than half a cup, so the recipes will use more than 1 cup altogether. Yes. Both recipes call for exactly 1 cup, so the recipes will use exactly 1 cup altogether. Yes. Both recipes call for less than half a cup, so the recipes will use less than 1 cup together

Answers

Answer:

3.4/6

Step-by-step explanation:

No, Lynn do not have enough water to make her snack.

What is the fraction?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that, the recipes call for 3/8 cup of water for oats and 1/4 cup of water for dried fruit.

You need to add up the quantities of water needed first. That will then tell if she has enough water.

Convert the fractions to decimals then add them up:

3/8 = 0.375

1/4 = 0.25

= 0.25 + 0.375

= 0.625 cups of water is required.

This is less than the 1 cup she has so she has enough water to make the snack.

No, Lynn do not have enough water to make her snack.

To learn more about the fraction visit:

brainly.com/question/1301963.

#SPJ2

"Your question is incomplete, probably the complete question/missing part is:"

Lynn is making a snack. The recipes call for 3/8 cup of water for oats and 1/4 cup of water for dried fruit. She only has 1 cup of water. Does she have enough to make her snack? Explain

Find the equation of the line shown.​

Answers

I’m pretty sure it’s y=.5 and x=-2 so just put that into slop intercept form

Bill makes a conjecture that the sum of an odd integer and itself is always an even
integer. Which choice is the best proof of his conjecture?

Answers

Answer:

Step-by-step explanation:

How do I find the length of SU?

Answers

Answer:

itll be WU multiplied by 2.

Step-by-step explanation:

this is because TV is the bisector, so WU and SW are the same length. just multiply it by 2.

please help, thank u​

Answers

Answer:

B and C

Step-by-step explanation:

What’s 2/10 closest to 0,1/2 or 1

Answers

Answer:

0

Step-by-step explanation:

2/10 is 2/10 away from 0, 2/10 is 3/10 away from 1/2, and 2/10 is 8/10 away from 1

0 is the answer because 5/10=1/2 and 10/10=1

13. SOLVE FOR X
21)
18
21
x+ 13
A) 8
C) 7
28
B) 11
D) 6

Answers

Well first go to 'Add Attachments' when your asking a question.

Click whatever file/photo that you wanna show us, and click done.

See?

Ta da~

A triangle has side lengths of 21 cm and 17 cm. What is the range of values possible for the 3rd side?

Answers

Answer:

[tex]4 < x < 38[/tex]

Step-by-step explanation:

[tex]21 - 17 = 4[/tex]

[tex]21 + 17 = 38[/tex]

The range of 3rd side is in between 4 to 38.

[tex]4 < side 3 < 38[/tex]

A triangle has side lengths of 21 cm and 17 cm

side 1 = 21 cm

side 2 = 17 cm

What is the relation between side of triangle?

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Therefore,

length of side 3

[tex]21-17 < side 3 < 21+17[/tex]

[tex]4 < side 3 < 38[/tex]

Therefore the range of 3rd side is in between 4 to 38.

[tex]4 < side 3 < 38[/tex]

To learn more about the side of triangle visit:

https://brainly.com/question/20734777

What are the angles measures of triangle ABC?​

Answers

Answer:

∠A = 90°

∠B = 60°

∠C = 30°

How do I figure this out?

Answers

Answer:

0.75 : 1

Step-by-step explanation:

Age was given instructions to create a rectangular garden that had an area of 45 ft^2. he was told that the length of the garden must be 1 ft less than twice the width. Find the length and width of the garden.

Answers

Answer:

width = 5 ft

length = 9 ft

Step-by-step explanation:

Here, we want to get the length and width of the garden

length is 1 ft less than twice the width

if width = w

length = 2w-1

The product of the two is 45

so, we have it that;

w(2w-1) = 45

2w^2 - w = 45

2w^2 - w -45 = 0

2w^2 - 10w + 9w -45 = 0

2w(w-5) + 9(w-5) = 0

(2w + 9)(w-5) = 0

2w + 9 = 0

or w -5 = 0

w = 5 or-9/2

w cannot be negative, so we = 5

l = 2(5) -1 = 10 - 1 = 9 ft

all you need is in the photo please ​

Answers

Answer:

i don't know how to answer

Step-by-step explanation:

True and false math question

Answers

Answer:

I'm thinking it's false

Step-by-step explanation:

however, I would wait for another's opinion as well

Answer:

false

Step-by-step explanation:

just my opinion but if you think I'm wrong it's okay

NEED ANSWER ASAP! ON A TIMED TEST!

Four chords are drawn in the figure below, creating a quadrilateral with every vertex on the circle.

Using the special properties of this figure, determine m

Answers

Answer:

21°

Step-by-step explanation:

<DCB = 3x + 8°

< DAB = 5x + 4°

Now

<DCB + <DAB = 180° { being opposite angles of cyclic quadrilateral }

3x + 8° + 5x + 4° = 180°

8x + 12° = 180°

8x = 180° - 12°

8x = 168°

x = 168° / 8

Therefore x = 21°

Hope it will help :)

Q1. What is the ratio of 4 weeks 3 days to 6 weeks.
Q2. What is the ratio of 3 dozen eggs to 8 eggs.
Q3. How far can a bus travel in 8 litres of diesel if it can travel 144 km in 6 litres of diesel
Answer in all steps and answer quick gotta help somebody.

Answers

Answer:

Q1: 28 : 3

Q2: 36 : 3

Step-by-step explanation:

Q1 EXPLANATION:

theirs 7 days in a week and theirs four weeks

4 x 7 = 28, theirs 3 days

            28 : 3

Q2 EXPLANATION:

Theirs 12 in a dozen and theirs 3 dozens

3 x 12 = 36, theirs 3 eggs

           36 : 3

Q3 EXPLANATION:

8 litres is 144 km

divide both by 4

2 litres is 36 km

then times both by 3

6 litres is 108 km

Solve: 5x=-6x+9
A: x= -9
B: x= -9/11
C: x= 9
D: x= 9/11

Answers

Answer:

x = 9/11

Step-by-step explanation:

5x = -6x + 9

Add 6x to both sides

11x = 9

Divide both sides by 11

x = 9/11

Answer:
X Equals 9/11

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable. So X will equal 9/11, which in decimal form is 0.81.

x + 3 = 15
Solve the equation and check for the solution

Answers

Answer:

x=12

Step-by-step explanation:

move the 3 to the other side to get x by itself.

check: 12 + 3 = 15

Answer:

(Not sure)

x = 12

Step-by-step explanation:

x + 3 = 15

CLT

X = 15-3

× = 12

What is the value of x?

Enter your answer in the box.

x =
in.

Answers

Answer:

15 I think

Step-by-step explanation:

Pls dont quote that tho sry

24in. If I did it right you should have just multiplied both numbers by 3

Write an equation in slope intercept form for the graph of the line. ​

Answers

y= 2/1 + 1 (i think. it’s been awhile so i’m not too sure)

4x = 44

PLease help UNDEN

Answers

Answer:

x= 11

Step-by-step explanation:

Factor the expression
27 - 9x + 15y

Answers

Simple,

factor out a 3...

3(9-3x+5y)

Thus, your answer

Answer:

-3(3x-5y-9)

Step-by-step explanation:

Add (y + 2x + 5) + (3y - 3x +1)

Answers

Answer:

4y-x+6

Step-by-step explanation:

Answer:

3y-x+6is answer.good luck

Step-by-step explanation:

(y + 2x + 5) + (3y - 3x +1)

y + 2x + 5+3y - 3x +1

y+2y+2x-3x+5+1

3y-x+6

Two students were shopping for school supplies. They need spirals which cost x dollars and pens which cost y dollars. One student bought 2 spirals and 3 pens for $8.66. Another student bought 4 spirals and 5 pens for $15.20. Find the unit cost of a spiral.

Answers

Answer:

x=1.15

y=2.12

Step-by-step explanation:

look at the picture ..........

Q2 - With decimals
Work these simultaneous equations out
on paper and write down your answers.
The cost of 8 CDs and 7 DVDs is
$113.50.
The cost of 12 CDs and 8 DVDs is
$153.
a =
10a + 3b = 31
15a + 4b = 45
b =
m =
4m + 10n = 83
9m + 6 = 96
n =
p =
8p + 59 = 27
12p + 40 = 51
All the CDs are the same price and
all the DVDs are the same price.
q=
Find the cost of one of each.
6S + 7t = 42
S =
1 CD is $
8s + 3t = -1
t =
[8]
[4]
1 DVD is $

Answers

Answer:

Simplify the following algebraic expressions.

- 6x + 5 + 12x -6

2(x - 9) + 6(-x + 2) + 4x

3x2 + 12 + 9x - 20 + 6x2 - x

(x + 2)(x + 4) + (x + 5)(-x - 1)

1.2(x - 9) - 2.3(x + 4)

(x2y)(xy2)

(-x2y2)(xy2)

Solution

Group like terms and simplify.

- 6x + 5 + 12x -6 = (- 6x + 12x) + (5 - by

Solution

Use rules of exponential to simplify the numerator first.

(a b2)(a3 b) / (a2 b3) = (a4 b3) / (a2 b3)

Rewrite as follows.

(a4 / a2) (b3 / b3)

Use rule of quotient of exponentials to simplify.

= a2

Rewrite as follows.

(21 x5) / (3 x4) = (21 / 3)(x5 / x4)

Simplify.

= 7 x

(6 x4)(4 y2) / [ (3 x2)(16 y) ]

Multiply terms in numerator and denominator and simplify.

(6 x4)(4 y2) / [ (3 x2)(16 y) ] = (24 x4 y2) / (48 x2 y)

Rewrite as follows.

= (24 / 48)(x4 / x2)(y2 / y)

Simplify.

= (1 / 2) x2 y

Factor 4 out in the numerator.

(4x - 12) / 4 = 4(x - 3) / 4

Simplify.

= x - 3

Factor -5 out in the numerator.

(-5x - 10) / (x + 2) = - 5 (x + 2) / (x + 2)

Simplify.

= - 5

Factor numerator and denominator as follows.

(x2 - 4x - 12) / (x2 - 2x - 24) = [(x - 6)(x + 2)] / [(x - 6)(x + 4)]

Simplify.

= (x + 2) / (x + 4) , for all x not equal to 6

Solve for x the following linear equations.

2x = 6

6x - 8 = 4x + 4

4(x - 2) = 2(x + 3) + 7

0.1 x - 1.6 = 0.2 x + 2.3

- x / 5 = 2

(x - 4) / (- 6) = 3

(-3x + 1) / (x - 2) = -3

x / 5 + (x - 1) / 3 = 1/5

Solution

Divide both sides of the equation by 2 and simplify.

2x / 2 = 6 / 2

x = 3

Add 8 to both sides and group like terms.

6x - 8 + 8 = 4x + 4 + 8

6x = 4x + 12

Add - 4x to both sides and group like terms.

6x - 4x = 4x + 12 - 4x

2x = 12

Divide both sides by 2 and simplify.

x = 6

Expand brackets.

4x - 8 = 2x + 6 + 7

Add 8 to both sides and group like terms.

4x - 8 + 8 = 2x + 6 + 7 + 8

4x = 2x + 21

Add - 2x to both sides and group like terms.

4x - 2x = 2x + 21 - 2x

2x = 21

Divide both sides by 2.

x = 21 / 2

Add 1.6 to both sides and simplify.

0.1 x - 1.6 = 0.2 x + 2.3

0.1 x - 1.6 + 1.6 = 0.2 x + 2.3 + 1.6

0.1 x = 0.2 x + 3.9

Add - 0.2 x to both sides and simplify.

0.1 x - 0.2 x = 0.2 x + 3.9 - 0.2 x

- 0.1 x = 3.9

Divide both sides by - 0.1 and simplify.

x = - 39

Multiply both sides by - 5 and simplify.

- 5(- x / 5) = - 5(2

What is the y intercept of the line - 4 x + 6 y = - 12?

Solution

Set x = 0 in the equation and solve for y.

- 4 (0) + 6 y = - 12

6 y = - 12

y = - 2

y intercept: (0 , - 2)

What is the x intercept of the line - 3 x + y = 3?

Solution

Set y = 0 in the equation and solve for x.

- 3 x + 0 = 3

x = -1

x intercept: (-1 , 0)

What is point of intersection of the lines x - y = 3 and - 5 x - 2 y = - 22?

Solution

A point of intersection of two lines is solution to the equations of both lines. To find the point of intersection of the two lines, we need to solve the system of equations x - y = 3 and -5 x - 2 y = -22 simultaneously. Equation x - y = 3 can be solved for x to give

x = 3 + y

Substitute x by 3 + y in the equation - 5 x - 2 y = -22 and solve for y

-5 (3 + y) - 2 y = - 22

-15 - 5 y - 2 y = - 22

-7 y = - 22 + 15

-7 y = - 7

y = 1

Substitute x by 3 + y in the equation -5 x - 2 y = - 22 and solve for y

x = 3 + y = 3 + 1 = 4

Point of intersection: (4 , 1)

For what value of the constant k does the line - 4 x + k y = 2 pass through the point (2,-3)?

Solution

For the line to pass through the point (2,-3), the ordered pair (2,-3) must be a solution to the equation of the line. We substitute x by 2 abd y by - 3 in the equation.

- 4(2) + k(-3) = 2

Solve the for k to obtain

k = - 10 / 3

What is the slope of the line with equation y - 4 = 10?

Solution

Write the given equation in slope intercept form y = m x + b and identify the slope m.

y = 14

It is a horizontal line and therefore the slope is equal to 0.

What is the slope of the line with equation 2 x = -8?

Solution

The above equation may be written as

x = - 4

It is a vertical line and therefore the slope is undefined.

Find the x and y intercepts of the line with equation x = - 3?

Solution

The above is a vertical line with x intercept only given by

(-3 , 0)

Find the x and y intercepts of the line with equation 3 y - 6 = 3?

Solution

The given equation may be written as

y = 3

The above is a horizontal line with y intercept only given by

(0 , 3)

What is the slope of a line parallel to the x axis?

Solution

A line parallel to the x axis is a horizontal line and its slope is equal to 0.

What is the slope of a line perpendicular to the x axis?

Solution

A line perpendicular to the x axis is a vertical line and its slope is undefined

Step-by-step explanation:

y = -22 and solve for y

-5 (3 + y) - 2 y = - 22

-15 - 5 y - 2 y = - 22

-7 y = - 22 + 15

-7 y = - 7

y = 1

Please help me with this
Brainiest answer to who ever is correct

Answers

Answer:

y=-2x-3

Step-by-step explanation:

Answer:

so slope or gradient is -2

Step-by-step explanation:

y=-2x-3

Define the opposite and the absolute value of -8.
O The opposite of -8 is -8. The absolute value of -8 is 8.
O The opposite of -8 is -8. The absolute value of -8 is -8.
O The opposite of -8 is 8. The absolute value of -8 is 8.
O The opposite of -8 is 8. The absolute value of -8 is -8.

Answers

Answer:

The opposite of -8 is 0 and the absolute value in 8

Step-by-step explanation:

Answer:

The opposite of -8 is 8. The absolute value of -8 is 8.

Step-by-step explanation:

Combine like terms.
9y2 + 9(7y2-5) =
I need this for now please

Answers

Answer:

72y2-45

Step-by-step explanation:

9y2 + 9(7y2 - 5)

you multiply the 9 by the stuff in the parentheses

9y2 + 63y2 - 45

72y2-45

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