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Leto [7]
3 years ago
7

In a zoo there are 30 monkeys, some gorillas and chimpanzees. The ratio of monkeys to gorillas is 6 to 1. The ratio of monkeys t

o chimpanzees is 5 to 2. How many gorillas are there? How many chimpanzees are there?
Mathematics
1 answer:
gregori [183]3 years ago
4 0
If the ratio of monkeys to gorillas is 6:1
that means (1÷6)*30=5 gorillas

if the ratio of monkeys to chimpanzees is 5:2
that means (2÷5)*30=12 chimpanzees
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Express the trig ratios as fractions in simplest terms.
Neporo4naja [7]

Answer:

See below

Step-by-step explanation:

\cos M=\frac{adjacent}{hypotenuse}=\frac{56}{70}=\frac{4}{5}\\\\\sin L=\frac{opposite}{hypotenuse}=\frac{56}{70}=\frac{4}{5}

Hence, both ratios are equal to each other

3 0
2 years ago
Help me find the answer to this please. And also explain how to slove these problems.​
Evgen [1.6K]

Answer:

B and C

Step-by-step explanation:

Minimum and Maximum points occur when the gradient of the function is equal to 0. Graphically this looks like a bend such that the function dips from decreasing to increasing (the gradient goes form being negative to positive) and vice versa.

A minimum point occurs where all the nearby values are higher than that of the point in question.

A maximum point occurs where all the nearby points are lower than the point in question.

By looking at the graph, there is a maximum point around (4.5, 1.5) which is consistent with B but not A (since A talks about a minimum point)

By looking at the graph, there is a minimum point around (0.5, 1.5) which is consistent with C.

I've highlighted areas of interest below so hopefully that's helpful :>

6 0
3 years ago
1 substitute p=5, q=7, r = -2
lora16 [44]

1.

a.) 2q + 5r

2(7) + 5(-2)

14 - 10 = 4


b.) 3(p + 6) + q + r     Plug in the numbers

3(5 + 6) + 7 - 2   Solve inside the parentheses first

3(11) + 7 - 2

33 + 5 = 38


2.

a.) m(3m + 4n)

2(3(2) + 4(3))

2(6 + 12)

2(18) = 36


b.) n²(m + p²)

(3)²(2 + (-5)²)

9(2 + 25)

9(27) = 243


c.) 3m(8 + n) + n²

3(2) (8 + 3) + 3²

6(11) + 9

66 + 9 = 75

3 0
3 years ago
Consider the quadratic function: y = 2x^2 + 7x + 10
arsen [322]

Answer:

y-intercept: 10

concavity: function opens up

min/max: min

Step-by-step explanation:

1.) The definition of a y-intercept is what the resulting value of a function is when x is equal to 0.

Therefore, if the function's equation is given, to find y-intercept simply plug in 0 for the x-values:

y = 2x^2+7x+10 = 2(0)^2 + 7(0)+10 = 2(0) + 0 + 10 = 0 + 10 = 10

y intercept ( f(0) )= 10

2.) In order to find concavity (whether a function opens up or down) of a quadratic function, you can simply find the sign associated with the x^2 value. Since 2x^2 is positive, the concavity is positive. This is basically possible, since it is identifying any reflections affecting the y-values / horizontal reflections.

3.) In order to find whether a quadratic function has a maximum or minimum, you can use the concavity of the function. The idea is that if the function opens downwards, the vertex would be at the very top, resulting in a maximum. If a function was open upwards, the vertex would be at the very bottom, meaning there is a minimum. Like the concavity, if the value associated with x^2 is positive, there is a minimum. If it is negative, there is a maximum. Since 2x^2 is positive, the function has a minimum.

7 0
3 years ago
What number is opposite of 56
OLga [1]

Answer:

- 56

Step-by-step explanation:

The opposite of a number is its negative value

Then the opposite of 56 is - 56

4 0
3 years ago
Read 2 more answers
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