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3 years ago

14

To determine how much you should budget for food each month, take the average of the expense over the last several months. If ov

er the last four months you spent $120, $137, $82, and $57 on groceries, how much should you budget for food this month?
please show work

1 answer:

san4es73 [151]3 years ago

6 0

To find the average add all the amounts together then divide by the number of amounts:

120 + 137 + 82 + 57 = 396

Average = 396 / 4 = 99

Budget = $99

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If (5,-12) is a point on the terminal side of an angle θ, find the value of sin⁡θ, cos⁡θ, and tan⁡θ.

Bezzdna [24]

Answer:

Given point (5,-12) falls into IV quadrant

<u>The right triangle with legs of 5 and -12, and hypotenuse is:</u>

√5² + (-12)² = √25+144 = √169 = 13

<u>Value of sin⁡θ, cos⁡θ, and tan⁡θ:</u>

sin⁡ θ = -12/13
cos ⁡θ = 5/13
tan⁡ θ = -12/5

5 0

3 years ago

Let a4+a8+a12+a16=224. Find the sum of first 19 term in sequence.

Tomtit [17]

Without knowing anything about the sequence, this is impossible to answer. But suppose the sequence is arithmetic, in which case each term differs by some constant $k$ :

$a_2=a_1+k$

$a_3=a_2+k=a_1+2k$

$a_4=a_3+k=a_1+3k$

$\ldots$

$a_n=a_{n-1}+k=a_1+(n-1)k$

Then we can write

$a_4+a_8+a_{12}+a_{16}=4a_1+36k=224\implies a_1+9k=56$

and from the formula above, we see this means the 10th term in the sequence is $a_{10}=56$ . But that's all the specific info we can gather about such an arithmetic sequence. If we set the first term to be some unknown $a_1=a$ , then the sum of the first 19 terms in the sequence would be

$\displaystyle\sum_{n=1}^{19}a_n=\sum_{n=1}^{19}\big(a+(n-1)k\big)=19a+k\sum_{n=1}^{18}n=19a+171k$

If we knew one more term in the sequence, we could determine the value of $k$ and derive the value of $a$ (if the first term $a_1$ is not immediately given), and then go on to find an exact numeric value for the sum.

7 0

3 years ago

It is roughly 8100 miles to fly from California to Australia. If it takes the plane 15 hours to reach its destination, how fast

Bad White [126]

Answer:

Answer is 540 mph (miles per hour)

Step-by-step explanation:

by diving 8100 by 15, you get a quotient of 540

5 0

4 years ago

Match the ones that are highlighted please:(

vivado [14]

The answers are 2. B, 3. D, 4. C, and 5. A.

Step-by-step explanation:

Step 1:

For question 2. $4+4n = -12.$

We subtract both sides by 4 to get

$4+4n-4 = -12-4, 4n = -16, n = -4$

For question 3. $4n=-12$ .

We divide the entire equation by 4 to get

$\frac{4n}{4} = \frac{-12}{4} , n = -3.$

Step 2:

For question 4. $\frac{n}{4} = -12.$

We multiply both sides by 4 to get

$\frac{n}{4} (4)= -12(4).$

$n = -48.$

For question 5. $\frac{n}{4} -4 = -12.$

We add 4 to both sides to get

$\frac{n}{4} -4 +4= -12+4, \frac{n}{4} = -8.$

$n = -32.$

So the answers are 2. B, 3. D, 4. C, and 5. A.

5 0

3 years ago

?? Y’all know what to put

marissa [1.9K]

B. b(x) = (50x) - 150

C. f(x) was moved down 150 units

I hope this helps!

6 0

3 years ago