Tina solved an equation incorrectly, as shown below:Step 1: 8x = 24
Step 2: x = 24 − 8
Step 3: x = 16

Which statement best explains why Step 2 is incorrect in Tina's solution?

She did not divide 24 by 8.
She did not add 8 to 24.
She did not multiply 24 by 8.
She did not multiply 24 eight times

Answers

Answer 1

Answer: Step 1: 8x = 24
Step 2: x = 24 − 8
Step 3: x = 16

Step 2 should be: x = 24 / 8
Step 3 would result to: x = 3

She did not divide 24 by 8.

Answer 2

Answer:

Answer:

She did not divide 24 by 8.

Step-by-step explanation:

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Convert 53 grams to kilograms.

530 kg
53,000 kg
0.053 kg
5.3 kg

Answers

0.053 kg would be your answer cause 1 gram is 0.001

There are 1000 grams in a kilo gram so you do 53/1000. That is 0.053 so the answer is c.

In an A.P,the sum of first ten terms is -150 and the sum of next 10 terms is -550.Find the A.P

Answers

S10 = -150;
the sum of next 10 terms = S20 - S10 => -550 = S20 + 150 => S20 = -700;
S10 = -150 => 2a1 + 9r = -30;
S20 = -700 => 2a1 + 19r = -70;
Then 10r = -40 => r = -4 , and, 2a1 -36 = -30 => 2a1 = 6 => a1 = 3;

The data in which table represents a linear function that has a slope of zero?

Answers

Answer:

the first option

Step-by-step explanation:

if you were to plot those points they make a straight horizontal line

Answer:

The first one.

Step-by-step explanation:

(x,y)

(-5,5)

(-4,5)

(-3,5)

(-2,5)

(-1,5)

y is the same for all the x's which will give you a horizontal line. Horizontal lines have a slope of 0.

in a standard deck of t2 playing cards, there are 4 aces, 4 kings, 4 queens, and 4 Jacks. All other cards have number values. the kings, queens, and Jack's are called face cards. You are dealt 2 cards in a sequence. calculate the probability of being dealt a 3 and then a 10. write your answer as a decimal to the nearest hundredth

Answers

Answer:

0.01

Step-by-step explanation:

Assuming the deck is the national playing deck with 52 cards.

Your probability of getting a 3 from the entire deck is 4/52. This number is the same for 10.

To get the probability of pulling a 3 and a 10 afterwards, you must multiply these two fractions (you're expecting a lower percentage).

$4/52 * 4/52 = 0.0059$

In 1990 retail sales at bookstores were about $7.4 billion. In 1997 retail sales at bookstores were about $11.8 billion. Write a linear model for retail sales s (in billions of dollars) at bookstores from 1990 through 1997. Let T represent the number of year since 1990. Then estimate the retail sales at bookstores in 2012.

Answers

hopefully this helps you and gives you insight in how to solve the problems from now on (:

= $11.8 + (2012-1997)([$11.8-$7.4][1997-1990])

= $11.8 + 5 ($4.4/7)

= $11.8 4/5 + $22/7

= $59/5 + $22/7

= $413/35 + $110/35

= $523/35 or $14 33/35

answer : SALES IN 2012 WOULD BE $14 33/35 BILLION OR $14.9 3/7

Final answer:

A linear model representing retail sales at bookstores from 1990 through 1997 is s(T) = 0.63T + 7.4. The estimated sales at bookstores in 2012 would be approximately $21.46 billion.

Explanation:

To solve this problem, we need to create a linear model. A linear model is a mathematical representation expressed as y = mx + b, where m is the slope, and b is the y-intercept.

To determine the slope (m), we subtract the ending value of retail sales from the starting value and divide by the number of years. So, subtract $7.4 billion (sales in 1990) from $11.8 billion (sales in 1997) and divide by 7 (the number of years from 1990 to 1997): (11.8 - 7.4) / 7 = 0.63. So, m = 0.63.

The y-intercept (b) is the value of y when x = 0. In this model, this corresponds to the sales in 1990, because x is the number of years since 1990, and 'x = 0' therefore corresponds to the year 1990. So, b = $7.4 billion.

The final linear model for retail sales at bookstores from 1990 through 1997 is s(T) = 0.63T + 7.4.

To estimate the retail sales at bookstores in 2012, we plug T = 22 (because 2012 is 22 years after 1990) into our linear model: s(22) = 0.63*22 + 7.4 ≈ $21.46 billion. So, the estimated retail sales in bookstores in 2012 were about $21.46 billion.