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Romashka [77]
3 years ago
13

A herd of dinosaurs made paintings in the sand with their claws. Each baby dinosaur made 1515 paintings and each adult dinosaur

made 77 paintings. The entire herd made 208208 paintings in total, and there were 33 times as many baby dinosaurs as adult dinosaurs. How many baby dinosaurs and adult dinosaurs were there?
Mathematics
1 answer:
mart [117]3 years ago
8 0

Answer:

4 adult dinosaurs and 12 baby dinosaurs.

Step-by-step explanation:

Let the number of adult dinosaurs be x.

Number of baby dinosaurs = 3x

Number of paintings made by each baby dinosaur = 15

Number of paintings made by each adult dinosaur = 7

Total number of paintings made by 3x baby dinosaurs = Number of baby dinosaurs * Number of paintings made by each baby dinosaur

= 3x * 15

= 45x

Total number of paintings made by x adult dinosaurs = Number of adult dinosaurs * Number of paintings made by each adult dinosaur

= x * 7

= 7x

Total number of paintings made by both baby and adult dinosaurs = 45x + 7x

= 52 x

Again the problem says that the total number of paintings made  = 208

So, 52x = 208

Dividing both sides by 52

\frac{52x}{52}  = \frac{208}{52}

Cancelling out the 52's from the top and bottom on the left

x = 4

So, number of adult dinosaurs = 4

Number of baby dinosaurs = 3x = 3*4 = 12

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baherus [9]
It took him 7 minutes to run each mile.

Firstly, covert the time into minutes.
3 * 60 = 180 minutes 
180 + 2 = 182 minutes

Now in order to find how long he ran each mile,
divide 182 by 26
182/26 = 7 minutes
7 0
3 years ago
Mark got 20% raise for his salary. If this salary was $1800 what is the new salary
elena-14-01-66 [18.8K]
Salutations!

Mark got 20% raise for his salary. If this salary was $1800 what is the new salary?

So lets solve this!

Mark got 20% "raise" for his salary. It clearly indicates that it is percentage of increase, so therefore, after solving out all the sum, we would be adding up 1800 to get the total of the new salary.

Lets form this into statements ----

Percentage increase = 20%

Mark's old salary = $1800

Mark's new salary = 20 × 1800/100

Cancel out the zeros to make it more logical ----

20 × 18/1

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Now, we need to add 1800 and 360 to get Mark's new salary

1800 + 360 = $2160.

Mark's new salary is $2160.

Hope I helped :D


7 0
3 years ago
Find an antiderivative F(x) with F′(x) = f(x) = 6 + 24x^3 + 18x^5 and F(1)=0.
7nadin3 [17]

Answer:

The antiderivative is F(X) = 6x + 6x^4 + 3x^6 - 15.

Step-by-step explanation:

Antiderivative F(x)

This is the integral of F^{\prime}(x)

So

F′(x) = f(x) = 6 + 24x^3 + 18x^5

Then:

F(x) = \int (6 + 24x^3 + 18x^5) dx

F(x) = 6x + \frac{24x^4}{4} + \frac{18x^6}{6} + K

F(x) = 6x + 6x^4 + 3x^6 + K

F(1)=0

F(X) = 0 when x = 1. We use this to find K.

F(x) = 6x + 6x^4 + 3x^6 + K

0 = 6 + 6 + 3 + K

K = -15

Thus

The antiderivative is F(X) = 6x + 6x^4 + 3x^6 - 15.

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3 years ago
What are the roots of the polynomial equation? x² + 7x + 12 = 0 Enter your answers in the boxes. x1= x2=
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The equation factors as
.. (x +3)(x +4) = 0
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3 0
3 years ago
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Neporo4naja [7]
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Full marks answer

8 0
2 years ago
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