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2 years ago

A pen costs p cents. Write down a formula for the cost, C cents, for n pens.

Mathematics

1 answer:

Aleks [24]2 years ago

6 0

Answer:

n x p = c

Step-by-step explanation:

n is the amount of pens so we time it by the cost of 1 pen which is p and the final answer is c as the cost of all the pen.

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The expression d/t can be used to find the average speed of an object that travel a distance d in time t. What is sc cars averag

Firlakuza [10]

You just divide the distance travelled by the time like so: 145mi/2.5h and get 58mph. You can convert the 145mi into meters and 2.5h into seconds (145mi is approximately 233345m; 2.5h is 9000 seconds) and get an approximate speed of 26m/s if you want to convert to SI units.

4 0

3 years ago

20 POINTS AND BRAINLIEST!! Write an exponential function in the form y=ab^x

Rudik [331]

Answer:

$y=13(4)^x$

Step-by-step explanation:

We have the exponential function of the form:

$y=ab^x$

And it goes through the points (0, 13) and (3, 832).

Hence, when we substitute in 0 for x, we should get 13 for y. Therefore:

$13=ab^0$

Since anything to the zeroth power is 1, this yields:

$a=13$

So, we determined that the value of a is 13.

So, our function is now:

$y=13b^x$

We will need to determine b. We know that y equals 832 when x is 3. Hence:

$832=13(b)^3$

Divide both sides by 13:

$b^3=64$

Take the cube root of both sides:

$b=4$

Hence, our b value is 4.

Therefore, our entire equation is:

$y=13(4)^x$

3 0

3 years ago

A class of 40 students elected a class president. There were 12 votes for Candidate A, and 18 votes for Candidate B.

Helen [10]

Hey there, Bulgogi!

The correct answer will be the first one since [I'm assuming] you know that to calculate the percentage of something, it's the amount of that something divided by the total amount but since only 30 students voted [12+18] multiplied by 100.

So, we are calculating the percentage on votes and 12 students voted for Candidate A so our Numerator will be 12 and our Denominator will be the total amount of student who voted, so 30 [or 12+18]

Once put into a fraction, we will get $\frac{12}{12+18}$ which would be equals to 2/5 or 0.4. Now we multiply by 100 and we get a total of 40% for Candidate A.

Thank you for using Brainly.
See you soon!

4 0

3 years ago

To two decimal places, find the value of k that will make the function f(x) continuous everywhere. f of x equals the quantity 3x

Fiesta28 [93]

Given function is

$f(x)=\left\{\begin{matrix}3x+k & x\leq -4 \\ kx^2-5 & x> -4\end{matrix}\right.$

now we need to find the value of k such that function f(x) continuous everywhere.

We know that any function f(x) is continuous at point x=a if left hand limit and right hand limits at the point x=a are equal.

So we just need to find both left and right hand limits then set equal to each other to find the value of k

To find the left hand limit (LHD) we plug x=-4 into 3x+k

so LHD= 3(-4)+k

To find the Right hand limit (RHD) we plug x=-4 into

$kx^2-5$

so RHD= $k(-4)^2-5$

Now set both equal

$k(-4)^2-5=3(-4)+k$

$16k-5=-12+k$

$16k-k=-12+5$

$15k=-7$

$k=-\frac{7}{15}$

k=-0.47

<u>Hence final answer is -0.47.</u>

7 0

3 years ago

Liam is making barbecue ribs over a fire. The internal temperature of the ribs when he starts cooking is 40°F. During each hour

Soloha48 [4]

Answer: You need to wait at least 6.4 hours to eat the ribs.

t ≥ 6.4 hours.

Step-by-step explanation:

The initial temperature is 40°F, and it increases by 25% each hour.

This means that during hour 0 the temperature is 40° F

after the first hour, at h = 1h we have an increase of 25%, this means that the new temperature is:

T = 40° F + 0.25*40° F = 1.25*40° F

after another hour we have another increase of 25%, the temperature now is:

T = (1.25*40° F) + 0.25*(1.25*40° F) = (40° F)*(1.25)^2

Now, we can model the temperature at the hour h as:

T(h) = (40°f)*1.25^h

now we want to find the number of hours needed to get the temperature equal to 165°F. which is the minimum temperature that the ribs need to reach in order to be safe to eaten.

So we have:

(40°f)*1.25^h = 165° F

1.25^h = 165/40 = 4.125

h = ln(4.125)/ln(1.25) = 6.4 hours.

then the inequality is:

t ≥ 6.4 hours.

4 0

3 years ago

A pen costs p cents. Write down a formula for the cost, C cents, for n pens.​

A pen costs p cents. Write down a formula for the cost, C cents, for n pens.