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guapka [62]
2 years ago
11

At the zoo there were 3 times as many monkeys as lions how many monkey were there

Mathematics
1 answer:
Radda [10]2 years ago
7 0
Does it say how many lions there are?
Take the amount of lions and times it by three.
So 3x (X being the amount of lions).
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Solve pls brainliest
kvasek [131]

Answer:

7.5 < 7.5061 < 7.56 < 9.213

Step-by-step explanation:

5 0
3 years ago
The equation Ax+By=10 goes through the coordinates (6,5) and (-2,-5).What are the values of A and B
wolverine [178]

Given:

The equation Ax+By=10 goes through the coordinates (6,5) and (-2,-5).

To find:

The values of A and B.

Solution:

We have,

Ax+By=10

It goes through the coordinates (6,5) and (-2,-5). It means these points will satisfy the equation.

A(6)+B(5)=10

6A+5B=10       ...(i)

A(-2)+B(-5)=10

-2A-5B=10       ...(ii)

Adding (i) and (ii), we get

(6A+5B)+(-2A-5B)=10+10

4A=20

Divide both sides by 4.

A=5

Put A=5 in (i), we get

6(5)+5B=10

30+5B=10

5B=10-30

5B=-20

Divide both sides by 5.

B=-4

Therefore, the values of A and B are 5 and -4 respectively.

3 0
2 years ago
The area of a rectangular wall of a barn is 140 square feet. Its length is 6 feet longer than twice its width. Find the length a
Lubov Fominskaja [6]
Do you need to graph it?

3 0
2 years ago
Special right triangles.
Oliga [24]

QUESTION 9

The given right angle triangle has its two legs equal to x\:cm and the hypotenuse is 2\:units.


Using the Pythagoras theorem, we have

x^2+x^2=2^2


This implies that;

2x^2=2^2


2x^2=4


x^2=2


x=\sqrt{2}


x=1.414


x\approx1.4\:units


QUESTION 10


The given right angle triangle has its two legs equal to x\:units and the hypotenuse is 7\:units.


Using the Pythagoras theorem, we have

x^2+x^2=7^2


This implies that;

2x^2=7^2


2x^2=49


x^2=24.5


x=\sqrt{24.5}



x=4.95\:units


QUESTION 11

Sam divided the square backyard into two sections along the 40ft diagonal.

Let one of the sides of the garden be x\:units, then the other side of the garden is also  x\:units since it was a square backyard.


The diagonal is the hypotenuse which is 40ft and the two legs are  x\:units each.


Applying the Pythagoras Theorem, we have;

x^2+x^2=40^2


2x^2=1600


x^2=800


\Rightarrow x=\sqrt{800}


\Rightarrow x=28.28


The length of one side of the garden is approximately 28cm.


QUESTION 12

The hypotenuse of Nicole's right triangular support is 92cm long.


It was given that the two lengths of the triangular support are of equal length.


Let the two lengths of the triangular support be l\:cm each.


We then apply the Pythagoras theorem to obtain;

l^2+l^2=92^2


\Rightarrow 2l^2=8464


\Rightarrow l^2=4232


\Rightarrow l=\sqrt{4232}


\Rightarrow l=65.05cm


Therefore Nicole needs l+l=65.05cm+65.05cm\approx130cm of wood to complete the support.

The correct answer is A.


QUESTION 13

A 45-45-90 triangle is an isosceles right triangle.


Let the length of the two legs be m\:inches each.

It was given that the hypotenuse of this triangle is 12\:inches.


Applying the Pythagoras Theorem, we have;

m^2+m^2=12^2


\Rightarrow 2m^2=144


\Rightarrow m^2=72


\Rightarrow m=\sqrt{72}


\Rightarrow m=8.49


The length of one leg of the hypotenuse is approximately 8.5 inches to 1 decimal place.


QUESTIONS 14.

It was given that the distance from home plate to first base is 90 feet.


Since the baseball field form a square, the length of the baselines are all 90ft.

We want to calculate the distance from home plate to 2nd base,which is the diagonal of the square baseball field.

Let this distance be d\:ft, then using the Pythagoras theorem;

d^2=90^2+90^2


d^2=8100+8100


d^2=16200


\:d=\sqrt{16200}


\:d=127.279


Therefore the distance from home plate to second base is 127 ft to the nearest foot.


QUESTION 15.

The distance from third base to  first base is also 127 ft to the nearest foot.


The reason is that the  diagonals of a square are equal in length.


3 0
3 years ago
Please help i put max points for u!!
jek_recluse [69]

Answer:

Equation: y = \frac{7}{4} x

21/2 cups of water

Step-by-step explanation:

Plug in 7 as y and 4 as x

7 = 4k

Find k

k = 7/4

Then plug k into th equation

y = 7/4 x

For the second part of the question:

Plug in x which is 6 into the bolded equation.

y = (7/4)(6) = 42/4 = 21/2 (simplified form)

21/2 cups of water

5 0
3 years ago
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