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3 years ago

Need help can somebody answer this question for me

Mathematics

1 answer:

nata0808 [166]3 years ago

8 0

Answer:

f ≥ 40

d ≤ 200

Step-by-step explanation:

We have to write inequalities to represent the situation given:

a) The first condition is given as the vehicle's fuel efficiency is no less than 40 miles per gallon.

That means the vehicle's fuel efficiency is greater than or equal to 40 miles per gallon.

If we represent f as the vehicle's fuel efficiency ( in miles per gallon ), we can write the inequality as

f ≥ 40 (Answer)

b) The second condition is given as the distance to the nearest exit door is at most 200 feet.

That means the distance to the nearest exit door is less than or equal to 200 feet.

Therefore, if we represent d ( in feet ) as the distance to the nearest exit door, then we can write the inequality as

d ≤ 200 (Answer)

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Select all ratios equivalent to 15:5. 9:3 6:2 3:1

natali 33 [55]

Answer:

All three.

Step-by-step explanation:

All three of these ratios are equivalent to 15:5. Here's how:

Let's look at the first ratio, 9:3. Did you notice something common? 3 x 3 = 9. 9/3 = 3. 5 x 3 = 15. 15/3 = 5. Both of these numbers are divisible by 3, so these ratios are equivalent.

Second. 6:2. 2 x 3 = 6. 6/3 = 2. 5 x 3 = 15. 15/3 = 5. See the similarity? The same applies to the next problem, number three, although it does slightly differentiate.

Third, 3:1. See, here, since the ratio is smaller than the problem, we can't multiply, since this ratio is smaller than the original number. But, it's still the same thing. A ratio is a number that compares a value to another value. This means that 3:1 is 3 compared to one. Now, let me clarify. 15:5. 3:1. These are the exact same values, except they are just written in a different form, and simplified. Since 5 x 3 = 15, we know that we can divide 15 evenly by 5, which makes it 3, and divide 5 evenly by 5, which equals one. So here we have our answer for the third problem. 5:1.

Ratios are basically division, except simplified. Every single ratio problem works this way. Once you get the hang of it, it's immensely easy. Hope this helped!

6 0

3 years ago

Find the derivative of 3e^y+x=y

Sindrei [870]

You have the following function:

$y=3e^y+x$

Derivate implictly the previous expression, as follow:

$y^{\prime}=3e^yy^{\prime}+1$

Where you have used that:

$(e^y)^{\prime}=e^yy^{\prime}$

Then, the implicit derivative of the given expression is:

$y^{\prime}=3e^yy^{\prime}+1$

Next, solve for y' as follow:

$\begin{gathered} y^{\prime}-3e^yy^{\prime}=1 \\ (1-3e^y)y^{\prime}=1 \\ y^{\prime}=\frac{1}{1-3e^y} \end{gathered}$

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1 year ago

can somebody please write what are the rules for multiplying integers and the rules for dividing integers in a short answer?

arsen [322]

Answer:

Negative + Negative = Positive

Negative + Positive = Negative

Positive + Negative = Negative

Positive + Positive = Negative

The rules are the same for division.

Step-by-step explanation:

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3 years ago

Madelyn has x nickels and y dimes, having a maximum of 15 coins worth no

aliina [53]

9514 1404 393

Answer:

2 nickels, 9 dimes

Step-by-step explanation:

When there are a number of overlapping shaded areas on the graph, I find it convenient to use the reverse of the inequalities. That makes the unshaded area the solution space. Here, the vertices of the triangular solution space are ...

(2, 9), (2, 13), (6, 9)

Any of the grid points within (or on) this triangle is a possible solution. One of them is (2, 9) corresponding to 2 nickels and 9 dimes.

Three solutions are shown:

(x, y) = (2, 9), (3, 10), (4, 11)

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3 years ago

Given C is the midpoint of BD.

Nataly_w [17]

Answer:definition of midpoint, angle BCA is congruent to angle DCA

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3 years ago