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2 years ago

Evaluate 10b + 3c, if b=3 and c = 11.

Mathematics

1 answer:

kozerog [31]2 years ago

4 0

Answer:

Step-by-step explanation:

10 × 3 = 30

3× 11 = 33

30 + 33 = 63

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Your friend uses the equation c=50p to find the total cost c for the number of people p internal local amusement park create a t

AnnZ [28]

We are given equation c=50p.

c is the total cost and p is the number of people.

Let us take number of people by groups of 10, 20, 30,40 people.

Note: We can take any positive integer for number of people in a group.

Now, we need to plug p=10, 20, 30,40 one by one in given function c=50p to find the costs c.

Plugging p=10, we get

c= 50*10 = 500.

Plugging p=20, we get

c= 50*20 = 1000.

Plugging p=30, we get

c= 50*30 = 1500.

Plugging p=40, we get

c= 50*40 = 2000.

So, we can create a table as.

Number of people (p) Total cost (c)

--------------------------------------------------------------------

10 500

20 1000

30 1500

40 2000

4 0

3 years ago

The first two terms of an arithmetic sequence are 7 and 4. Find the 7th term.

kobusy [5.1K]

EXPLANATION

If the first two terms of an arithmetic sequence are 7 and 4, then we know that an arithmetic sequence has a constant difference d and is defined by

$a_n=a_1+(n+1)d$

Check wheter the difference is constant:

Compute the differences of all the adjacent terms:

$d=a_{n+1}-a_n$

Replacing terms:

4-7 = -3

The difference between all of the adjacent terms is the same and equal to

d = -3

The first element of the sequence is

$a_1=7$ $a_n=a_1+(n+1)d$

Therefore, the nth term is computed by

d= -3

$a_n=7+\text{ (n-1)}\cdot(-3)$

Refine

d= -3 ,

$a_n=-3n+10$

Now, replacing n=7

$a_7=-3\cdot7+10\text{ = -11}$

So, the answer is -11.

8 0

1 year ago

Which values are solutions to the inequality below? √x ≤ 5

Romashka [77]

$\sqrt{x} \leq 5$

Find the real region for $\sqrt{x}$

$\sqrt{x}$ is real for $x \geq 0$

$= x \geq 0$

$\sqrt{x} \leq 5$

Square both sides:

$( \sqrt{x} )^2 \leq 5^2$

$5^2 = 5*5 =25$

Refine:

$x \leq 25$

Answer D

hope this helps!

5 0

2 years ago

The expression c(16x + 14) is equivalent to 32x + d.

pychu [463]

Answer:

c = 2

d = 28

Step-by-step explanation:

Please see the attached file for explanation

7 0

2 years ago

1. Paula has x cups of food in a container to feed her dogs. She pours 1.5 cups of food into their bowls. There is now 5.25 cups

kifflom [539]

1.D
2.C
3.B
If you need to know the amount let me know.

4 0

2 years ago