Final answer:
To fill in the table for the equation y=5x+7, integer values for x are chosen and substituted into the equation to find the corresponding y values. The (x, y) pairs are then recorded in the table and can be plotted on a graph.
Explanation:
Filling in a Table for a Linear Equation
To fill in the table for the linear equation y=5x+7, let's choose integer values for x and calculate the corresponding y values. Here's how you do it step by step:
Pick an integer value for x (e.g., -1, 0, 1, 2, etc.).
Substitute this value of x into the equation to solve for y.
Record the (x, y) pair in the table.
For example:
If x = -1, then y = 5(-1)+7 = 2, so the point is (-1, 2).
If x = 0, then y = 5(0)+7 = 7, so the point is (0, 7).
If x = 1, then y = 5(1)+7 = 12, so the point is (1, 12).
If x = 2, then y = 5(2)+7 = 17, so the point is (2, 17).
Remember, the dependence of y on x represents the fact that y changes when x changes, according to the equation of the line. After calculating several points, you can plot these points on a graph, and they should form a straight line because they belong to a linear equation.
Sasha hikes into a canyon. She takes a break at the rest stations every 2/3 of a mile. If she started at sea level and has hiked down to the fourth rest station, what is Sasha’s elevation now? Select all that apply.
a. -8/3
b. -4 2/3
c. 14/3
d. 2 2/3
e 4/3
Answer:
a. -8/3 miles below sea level.
Step-by-step explanation:
Sasha started at sea level and has hiked down to the fourth rest station.
Now sea level is 0.
Sasha takes a break at the rest stations every 2/3 of a mile.
This means she is down to 4 rest points means 4 times 2/3
This becomes = [tex]4\times(\frac{2}{3} )=\frac{8}{3}[/tex]
But the answer will be in negative as she is below 0.
So, correct answer is: a. -8/3 miles below sea level.
Shasha's elevation at the fourth rest station is 2 2/3
Position of rest station = 2/3 of a mile
Sea level = 0
The 4th rest station will be located at :
4 × 2/3 = 8/3
Therefore, the position of the fourth rest station from Shasha's starting position is (0 + 8/3) = 8/3
Since, she's hiking upward her position will be 8/3 = 2 2/3
Therefore, Shasha's elevation is
[tex]2 \frac{2}{3} [/tex]
Learn more : https://brainly.com/question/18796573
Which lists these numbers in order from least to greatest?
–14.6, 159, 1.07, –1.295, 24.6
A.
1.07, –14.6, 159, 24.6, –1.295
B.
1.07, –1.295, –14.6, 24.6, 159
C.
–1.295, –14.6, 1.07, 24.6, 159
D.
–14.6, –1.295, 1.07, 24.6, 159
The correct answer is option D –14.6, –1.295, 1.07, 24.6, 159.
Given numbers: –14.6, 159, 1.07, –1.295, 24.6.
To order the numbers from least to greatest, we consider their values:
–14.6 (negative and smallest)–1.295 (negative and larger than –14.6)1.07 (positive and the smallest positive number in this list)24.6 (positive and larger than 1.07)159 (positive and largest)so,Order from least to greatest is:
–14.6–1.2951.0724.6159The correct answer is option D –14.6, –1.295, 1.07, 24.6, 159.
Is 500 an underestimate or overestimate for the product of 12 and 53
The number 500 is underestimate for the product of 12 and 53.
We need check whether 500 an underestimate or overestimate for the product of 12 and 53.
What is product of numbers?The product of two numbers is the result you get when you multiply them together.
Now, the product of 12 and 53 is 12 × 53 = 636
An underestimate is an estimate that is less than the actual answer to a problem.
So, the number is underestimated.
Therefore, the number 500 is underestimate for the product of 12 and 53.
To learn more about the product of numbers visit:
https://brainly.com/question/28062408.
#SPJ5
There are (108)2 ⋅ 100 candies in a store. What is the total number of candies in the store?
To find the total number of candies, square 108 and then multiply by 100. The steps result in a total of 1,166,400 candies in the store.
Calculating the Total Number of Candies
The expression provided is (108) 2 × 100. To calculate this, first square 108, which means you multiply 108 by itself, and then multiply the result by 100. So the calculation will look like this: 108 × 108 × 100.
To carry out this multiplication, the steps are:
Square 108: 108 × 108 = 11,664.
Multiply the result by 100: 11,664 × 100 = 1,166,400.
Therefore, the total number of candies in the store is 1,166,400.
To find the total number of candies in the store given the expression [tex](108)^2[/tex] times 100, you first square 108 to get 11,664 and then multiply that by 100, resulting in 1,166,400 candies.
The student's question asks for the total number of candies in a store given the expression [tex](108)^2[/tex] times 100.
To find the total, we need to calculate the square of 108 and then multiply the result by 100.
First, 1082 equals 11,664 (108 multiplied by itself).
Next, we multiply 11,664 by 100 to find the total number of candies, which gives us 1,166,400 candies.
Hence, there are 1,166,400 candies in the store.
Step-by-Step Solution:
Calculate the square of 108: 108 x 108 = 11,664.Multiply the result by 100: 11,664 x 100 = 1,166,400.Therefore, the store has 1,166,400 candies in total.
149 x 5 multiply using partial products
can -60 be a fraction?
Two integers, a and b, have a product of 24. What is the least possible sum of a and b?
What property is being used in the equation 3a+0=3a
What is the mode of the following data set
Hello There!
Mode: Number that occurs most often in a set of numbers
-The mode would be 3-
The number 3 is the only number that occurs 5 times in the set of data. No other numbers appear more than that so our mode is 3.
the difference of a positive integer and its inverse is 15/4. find the integer
Betty had $70. She bought a necklace for $9 and a ring for $7. Which expression correctly shows the total money Betty has left? A $70 − (−$9) + (−$7) B $70 + (−$9) + (−$7) C $70 − (−$9) − (−$7) D $70 + (−$9) − (−$7) A B C D???
PLZZ HELP ASAP
The answer would be B!
What's a name for 7 over 8
What do I write for my problem. Reply quickly please
what is 11.4 divided by 19
I will give brainliest to whoever got the right answer first, so please get it right, help me do number 25, number 26, and number 27, remember and please, READ THE DIRECTIONS.
workout 3(-a + 2a - 4)= -5
(-4x^2+3xy-y^2)/-(-7x^2-xy+6y^2)/(x^2+4xy-2y^2)
Answer:
7x+x^-16x+
Step-by-step explanation:
An architect is designing a house in which a 104-square-foot room and a 130-square-foot room share a wall. What is the greatest possible integer length of the shared wall?
What is 485 times 34
4 3/2
-
3 1/4
________
What is 12-(3-1/2)? I NEED ASAP!! THANK YOU
how much more is 3/8 gallon than 1/4 gallon?
After a 5% sale discount, the price of an item became $38.00. What was the original price?
What is 53,806 in expanded form using exponents
what is the solution to log2(9x)-log2^3=3?
Answer:
[tex]x = \frac{8}{3}[/tex] is the solution to [tex]\log_2 9x - \log_2 3 = 3[/tex]
Step-by-step explanation:
Using the logarithmic rules:
[tex]\log \frac{m}{n} = \log m -\log n[/tex]
if [tex]\log_b x = a[/tex] then;
[tex]x = b^a[/tex]
Given the equation:
[tex]\log_2 9x - \log_2 3 = 3[/tex]
Solve for x:
Apply the logarithmic rules:
[tex]\log_2 \frac{9x}{3} = 3[/tex]
⇒[tex]\log_2 3x = 3[/tex]
Apply the logarithmic rules;
[tex]3x = 2^3[/tex]
⇒[tex]3x = 8[/tex]
Divide both sides by 3 we have;
[tex]x = \frac{8}{3}[/tex]
Therefore, the solution for the given equations is, [tex]x = \frac{8}{3}[/tex]
Answer: B or option two on edg
X = 8/3
Step-by-step explanation:
Number c is really difficult
Francine and Cheryl received equal scores on a test made up of multiple choice questions and an essay. Francine got 34 multiple choice questions correct and received 14 points for her essay. Cheryl got 30 multiple choice questions correct and received 22 points for her essay. How many points was each multiple choice question worth? Enter your answer in the box. 5 points
34x +14 = 30x +22
34x = 30x + 8
4x =8
x = 8/ = 2
each question was worth 2 points
Help!! what is -2r-1= -11
Steve washed 15 cars in 3 hours.how many cars can he Wash in 7 hours?
Steve washed 15 cars in 3 hours and can wash 35 cars in 7 hours.
We have given that Steve washed 15 cars in 3 hours.
We have to determine if the cars can be Washed in 7 hours.
What is the condition given?
15/3 = x/7.
Use cross products and multiply 15*7
= 105/3
= 35.
He can wash 35 cars in 7 hours
To learn more about hours visit:
https://brainly.com/question/25870256
#SPJ2
What value of H makes the equation true
−1/8 x (2H + 4) + 1/2= −7/4
A 7
B 25/16
C 7/16
D 25