An integer that represents the situation is -100.
What are integers?
Any positive or negative number without fractions or decimal places is known as an integer, often known as a "round number" or "whole number."
Integers are positive and negative whole numbers.
In this case, we are given a situation where a treasure chest is located 100 meters below sea level.
The sea level can be considered as zero, so anything below sea level would be negative.
Therefore, we use a negative integer to represent this situation, and the negative integer that represents 100 meters below sea level is -100.
To learn more about the integers;
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Which is the best definition of a square? A. a 4-sided polygon with all sides equal B. a parallelogram with all sides equal and all angles equal C. a combination of a rectangle and a trapezoid D. a 4-sided polygon with all angles equal
Find the value of side A on the right triangle, given that side B = 12 cm and side C = 15 cm
Five years ago, Tim’s mom was three times Tim’s age today. Now their combined ages are 45. How old is Tim’s mom today?
Answer:
35 years
Step-by-step explanation:
45 = t + (3t + 5)
45 = t + 3t + 5
45 = 4t + 5
40 = 4t
10 = t
3*10=30,
30+5=35
There are 50 dimes in a roll of dimes, 40 nickels in a roll of nickels, and 40 quarters in a roll of quarters. Rob has 12 rolls of coins with a total value of $70.00. He has 3 more rolls of nickels than dimes. How many rolls of each coin does he have?
Who topping covers more of the pizza 2/8 or 5/8
Ella used 1/4 yard of red ribbon. Fill in each box with a number from the list to show equivalent fractions for 1/4
Answer:
To find fractions equivalent to a given fraction, the process of amplifying the numerator and the denominator of that fraction must be performed. Specifically, each element is amplified by multiplying it by a positive integer. Thus, fractions equivalent to 1/4 are:
(1x2) / (4x2) = 2/8
(1x3) / (4x3) = 3/12
(1x4) / (4x4) = 4/16
(1x5) / (4x5) = 5/20
(1x6) / (4x6) = 6/24 ... Successively.
Step-by-step explanation:
Which of these distance measures would you most likely find on a walking tour map of downtown Paris, using the metric system?
A. Kilo feet
B. Millimeters
C. Centimeters
D. Meters
Answer:meters
Step-by-step explanation:
Billy is creating a rectangular patio in his backyard using square cement tiles. The length of the patio, in feet, is represented by the function l(x) = x + 5, and the width of the patio is represented by the function w(x) = x + 3. Write the standard form of the function which describes the total area of the patio, a(x) in terms of x, the side length of each tile.
To find the function for the total area of Billy's patio, a(x), we multiply the length function, l(x) = x + 5, by the width function, w(x) = x + 3. Expanding this multiplication gives us the standard form a(x) = x² + 8x + 15.
Billy is creating a rectangular patio in his backyard using square cement tiles. The function for the length of the patio is l(x) = x + 5, and the function for the width is w(x) = x + 3. To find the function that describes the total area of the patio, a(x), in terms of x, we can multiply the length function by the width function.
First, let's define the area of a rectangle as the product of its length and width: a = l x w. Substituting our functions in, we get:
a(x) = (x + 5) x (x + 3)
Now we will expand this to write it in standard form:
a(x) = x² + 3x + 5x + 15
a(x) = x² + 8x + 15
Therefore, the standard form of the function describing the total area of the patio in terms of x, the side length of each tile, is a(x) = x² + 8x + 15.
Rules for multiplying and dividing by 1 and 0
In a group of 25 factory workers, 20 are low-risk and five are high-risk. two of the 25 factory workers are randomly selected without replacement. calculate the probability that exactly one of the two selected factory workers is low-risk.
(−4)−(−2)–{(−5)–[(−7)+(−3)–(−8)]}
Final answer:
To solve the complex expression involving negative numbers, the order of operations must be followed, dealing with the innermost brackets first and proceeding outward to determine the final answer is 1.
Explanation:
The expression given by the student is a mathematical expression involving negative numbers and the order of operations. To solve the expression (−4)−(−2)–{(−5)–[(−7)+(−3)–(−8)]}, we need to follow the order of operations, also known as PEMDAS or BODMAS, which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Start by solving the innermost brackets: (−7) + (−3) – (−8) = −10 – (−8) = −2.Next, address the curly brackets by subtracting the result from step 1 from (−5): (−5) – (−2) = −3.Finally, solve the outermost expression by subtracting (−2) from (−4) and then subtracting the result of step 2: (−4) − (−2) – (−3) = −2 – (−3) = 1.Therefore, the final answer to the expression is 1.
Mike used a rectangular prism and two cubes to create a model bench for his class project as shown below.
What is the surface area of the model bench?
A. 850 sq in
B. 800 sq in
C. 750 sq in
D. 700 sq in
which describes the correlation shown?
The correlation that is shown in the scatter plot is:
Strong positive.
Step-by-step explanation:From the scatter plot we see that with the increase of one variable the second variable also increases.
Hence, the association is positive.
Also, if we draw a trend line that best represents the scatter plot then not all the points will lie above the line but all the data points are either over the line or very close to the line this means that the correlation coefficient is close to 1 but not exactly equal to 1.
Hence, the correlation is:
Strong positive.
( For perfect positive all the data points should lie above that line i.e. correlation coefficient must be equal to 1)
Answer:
Option C) Strong positive
Step-by-step explanation:
Correlation
Correlation is a technique that help us to find or define a relationship between two variables. It is a measure of linear relationship between two quantities. A positive correlation means that an increase in one quantity leads to an increase in another quantity A negative correlation means with increase in one quantity the other quantity decreases.Looking at the graph it could be said that the variables are strongly positively correlated as with a small increase in one variable, the other variable increases.
It is not a perfect positive relation as change in one variable does not lead to equal change in other variable.
It cannot be negative relation as well.
if a + b = -5 and x + y = -5, what is 6y + 6x - b - a
Decide whether the sequence is arithmetic geometric or neither 5,-10,20, -40
The perimeter of a rectangle is 80 feet. Find the demensions if the length is 5 feet longer than four times the width. Then find the area of the rectangle.
-Show All Work!-
A square pyramid has a base length of 6 inches and a height of 8 inches. What is the volume of this pyramid? Enter your answer in the box. in³
Final answer:
The volume of the square pyramid with a base length of 6 inches and a height of 8 inches is 96 cubic inches.
Explanation:
To find the volume of a square pyramid, you can use the formula V = (1/3) × base area × height, where the base area is the area of the square base. Since the base length is 6 inches, the area of the base is 6 in. × 6 in. = 36 in.². The height of the pyramid is 8 inches. So, the volume of the pyramid can be calculated as follows:
V = (1/3) × 36 in.² × 8 in. = 96 in.³
Therefore, the volume of the square pyramid is 96 cubic inches.
A jar contains 26 fluid ounces of spaghetti sauce. How many cups of spaghetti sauce do 4 jars have
A car traveled at an average rate of 51 miles per hour on one highway. It then traveled at an average rate of 71 miles per hour on a second highway. If the car traveled a total of 508 miles in 8 hours, how many miles were driven on the first highway?
A carton has a length of fraction 2 and 2 over 3 feet, width of fraction 1 and 1 over 8 feet, and height of fraction 1 and 1 over 5 feet. What is the volume of the carton?
Answer:
V = 3.6 ft³Step-by-step explanation:
The formula of a volume of rectangular prism:
[tex]V=lwh[/tex]
l - length
w - width
h - height
We have
[tex]l=2\dfrac{2}{3}\ ft=\dfrac{(2)(3)+2}{3}\ ft=\dfrac{8}{3}\ dt\\\\w=1\dfrac{1}{8}\ ft=\dfrac{(1)(8)+1}{8}\ ft=\dfrac{9}{8}\ ft\\\\h=1\dfrac{1}{5}\ ft=\dfrac{(1)(5)+1}{5}\ ft=\dfrac{6}{5}\ ft[/tex]
Substitute:
[tex]V=\left(\dfrac{8}{3}\right)\left(\dfrac{9}{8}\right)\left(\dfrac{6}{5}\right)=\dfrac{432}{120}=3.6\ ft^3[/tex]
Answer:
3 3/5
Step-by-step explanation:
covert mixed fractions to improper fractions
2 2/3 becomes 8/3
1 1/8 becomes 9/8
1 1/5 become 6/5
then you multiply across will give you 432/120
since the numerator os greater than the demoninator, you have to divide 432
into 120 which then will give you 3 72/120. When you simplify the fraction the final answer is 3 3/5.
what is one fourth of 7?
How many ways are there to pick 8 balls from large piles of (identical) red, white, and blue balls plus 1 pink ball, 1 lavender ball, and 1 tan ball?
One kilometer equals 0.62 miles. How many kilometers equal 16 miles? Round the answer to the nearest tenth. 2.6 kilometers
9.9 kilometers
25.8 kilometers
99.2 kilometers
Answer: 25.8 kilometers
Step-by-step explanation:
Given: One kilometer = 0.62 miles
Then, [tex]1\text{ mile}=\dfrac{1}{0.62}\text{ kilometers}[/tex]
Then to find the number of kilometers in 16 miles, we need to multiply 16 to [tex]\dfrac{1}{0.62}[/tex], we get
[tex]\text{ 16 miles =}16\times\dfrac{1}{0.62}=25.806451612\approx25.8\text{ kilometers}[/tex]
Hence, 25.8 kilometers equals to 16 miles.
What is 2/7 = 2x what would be the answer
According to the south carolina department of mental health web site, for every 200 u.s. women, the average number who suffer from anorexia is one. a group of 600 u.s. women is randomly chosen. part (a) correct: your answer is correct. part (b) correct: your answer is correct. part (c) how many are expected to suffer from anorexia
Tom weighs 168.5 pounds. His son weighs 33.7 pounds. How many times as much as his son does Tom weigh
Javier buys 12 bagels for $2.50. At this rate how many bagels could Javier buy for $6.25?
A. 18
B. 30
C. 31
D. 48
Suppose that you have a goal to drive two miles at an average rate of 60 miles per hour (mph). during the first mile you travel at a rate of 30 mph. how fast would you need to travel during the second mile in order to reach your goal of 60 mph for the total two mile distance? (hint: remember that rate is found by taking distance divided by time.)
The line plot shows the measurement of a certain liquid (in milliliters) in nine beakers. If you combined the liquids and then put an equal amount of liquid in each beaker, how much liquid would be in each beaker?
A)
1/8 ml
B)
1/2 ml
C)
7/29 ml
D)
1/4 ml
The base of a 6-inch long ice cream cone with a diameter of 2 inches, is cut 0.25 inches from the base. This cut creates two shapes, one is a cone, and the other one resembles a cylinder since it was cut so close to the base. What is the BEST estimate for the volume of the shape that resembles a cylinder?