Ask question

Ask question

All categories

Ray Of Light [21]

4 years ago

10

Tommy and his wife went to the store and bought groceries. Their subtotal was $143.50. If the sales tax was 8%, what was the tot

al amount they paid for groceries?

1 answer:

Taya2010 [7]4 years ago

7 0

1184.00 i think is the answer

You might be interested in

A u.s. social security number is a nine-digit number. the first digit(s) may be 0. how many have exactly one didgit equal to 8

strojnjashka [21]

Think of the SS numbers as being a collection of digits. If any of the digits (say the first one for example) are 8 then all the remaining digits can be anything but 8, meaning there are 9 choices for each remaining digit. This effectively becomes an 8 digit number with the constraint that there can only be 9 choices for a digit. This means for the first digit being 8 we have 9⁸ remaining possible numbers. Since we will do this for each of the remaining digits (they each get to be 8 then we count their 9⁸ configurations) we end up with 9(9⁸) or 9⁹≈3.8742E8

5 0

4 years ago

If a and b are integers such that a2 − b2 = 100, what is the greatest possible value of a?

tatyana61 [14]

Answer:

26

Step-by-step explanation:

Question says that 'a' and 'b' are integers that implies we cannot have 'a' and 'b' in the form of decimals.

Now, lets expand the given equation:

$a^2-b^2=100$

$(a+b)(a-b)=100$

Lets say: $(a+b)=p$ , $(a-b)=q$

Let us consider the factor pairs of 100.

$(1 \times 100), (2 \times 50), (4 \times 25), (5 \times 20), (10 \times 10), (20 \times 5), (25 \times 4), (50 \times 2), (100 \times 1)$

Only factor pair $(2,50)$ gives us the integer values of 'a' and 'b'.

$a+b=50$ ....equation (1)

$a-b=2$ ........ equation (2)

adding equation 1 and 2, we get:

$2a=52$

$a=\frac{52}{2}=26$

$a-b=2$

Plugging the value of 'a' in the equation 2

$26-b=2$

$b=24$

So the greatest possible value of 'a' is 26.

5 0

4 years ago

Match each statement in the proof with the correct reason.

Masteriza [31]

Answer:

See explanation

Step-by-step explanation:

<u>Definition of parallelogram:</u> Parallelogram is a quadrilateral with two pairs of parallel sides.

<u>Definition of transversal (diagonal):</u> A line that cuts across two or more (usually parallel) lines.

<u>Definition of the same side interior angles:</u> These angles are located exactly as their name describes. They are "interior" (between the parallel lines), and they are on the same side of the transversal (diagonal).

<u>The same-side interior angles theorem</u> states that when two lines that are parallel are intersected by a transversal line, the same-side interior angles that are formed are supplementary

Statement Reason

1. ABCD is a parallelogram - Given

2. $\overline{AB}\parallel \overline {CD}$ - Definition of parallelogram

3. $\overline{AD}$ is a diagonal of $\overline{AB}$ and $\overline{CD}$ - Definition of diagonal

4. $\angle A$ and $\angle D$ are the same side interior angles - Definition of same-side interior angles

5. $\angle A$ is supplementary to $\angle D$ - Same-Side Interior Angles Theorem

5 0

3 years ago

Please help!!!!! <br><br><br> Split using partial fraction decomposition

Rama09 [41]

Answer:

11

Step-by-step explanation:

11

6 0

3 years ago

Tell whether x and y show direct variation. Explain your reasoning. x/y=20

Lelechka [254]

Yes because b/c it only has constan term and it is 20

8 0

4 years ago