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2 years ago

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Mathematics

1 answer:

Reil [10]2 years ago

5 0

x = # of days

y = total calories

Simba = 1000 + 140x = y

Cuddles = 2650 - 190x = y

Let's set both of these equations equal to each other

1000 + 140x = 2650 - 190x

Add 190x to both sides and subtract 1000 from both sides.

330x = 1650

Divide each side by 330

x = 5

After 5 days, they will be consuming the same amount of calories.

To find out how many calories they will be consuming, let's plug 5 into our Simba equation.

1000 + 140(5) = y

Multiply 140 by 5

1000 + 700 = y

Simplify

1700 = y

They will be consuming 1,700 calories each day.

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kittens weigh about 100 grams when they are born and gain seven to 15 grams per day if a kitten weighed 100 grams at Birth and g

pickupchik [31]

100x3=300
300-100=200
200÷8= 25 days

5 0

3 years ago

If a solid has faces that consist of 2 equilateral triangles and 3 congruent rectangles, what type of solid is it?

Burka [1]

A right triangular prism is a solid that has faces that consist of 2 equilateral triangles and 3 congruent rectangles. It is also described to have two parallel faces, and 3 other faces that belong to the same place (and are not parallel to the parallel pair of faces).

7 0

3 years ago

The volume of 10 drops of a liquid is0.01 fluid ounces. What is the volume of 100 drops?

otez555 [7]

Answer:

Step-by-step explanation:

you move the decimal to the right twice, so it goes from .01 to 1.00 if that makes sense :)

7 0

3 years ago

Q.6. The equation of the ellipse whose centre is at the origin and the x-axis, the major axis, which passes

azamat

<h3>Answer:</h3>

Equation of the ellipse = 3x² + 5y² = 32

<h3>Step-by-step explanation:</h3>

<h2>Given:</h2>

The centre of the ellipse is at the origin and the X axis is the major axis

It passes through the points (-3, 1) and (2, -2)

The equation of the ellipse

<h2>Solution:</h2>

The equation of an ellipse is given by,

$\sf \dfrac{x^2}{a^2} +\dfrac{y^2}{b^2} =1$

Given that the ellipse passes through the point (-3, 1)

Hence,

$\sf \dfrac{(-3)^2}{a^2} +\dfrac{1^2}{b^2} =1$

Cross multiplying we get,

9b² + a² = 1 ²× a²b²
a²b² = 9b² + a²

Multiply by 4 on both sides,

4a²b² = 36b² + 4a²------(1)

Also by given the ellipse passes through the point (2, -2)

Substituting this,

$\sf \dfrac{2^2}{a^2} +\dfrac{(-2)^2}{b^2} =1$

Cross multiply,

4b² + 4a² = 1 × a²b²
a²b² = 4b² + 4a²-------(2)

Subtracting equations 2 and 1,

3a²b² = 32b²
3a² = 32
a² = 32/3----(3)

Substituting in 2,

32/3 × b² = 4b² + 4 × 32/3
32/3 b² = 4b² + 128/3
32/3 b² = (12b² + 128)/3
32b² = 12b² + 128
20b² = 128
b² = 128/20 = 32/5

Substituting the values in the equation for ellipse,

$\sf \dfrac{x^2}{32/3} +\dfrac{y^2}{32/5} =1$

$\sf \dfrac{3x^2}{32} +\dfrac{5y^2}{32} =1$

Multiplying whole equation by 32 we get,

3x² + 5y² = 32

<h3>Hence equation of the ellipse is 3x² + 5y² = 32</h3>

8 0

3 years ago

I know the distance from me to my destination. I ,also, know how many miles per hour, I'm going. How do I find out how long it w

MissTica

You simply need to devide the distance by the speed to get the time, so: 600÷50= 12hrs
This is only if you drive the same speed rhe whole way and do not stop. If you stopped you need to add the delay to the time.
For example: if you delayed 20 min altogether you need to add 12:00+00:20= 12:20.

6 0

3 years ago

PLZ HELP PIC INCLUDED​

PLZ HELP PIC INCLUDED