Which expression shows the distance on the number line between −7 and 16?
a) |−16−(−7)|
b) |−7+16|
c) |7−16|
d) |−7−16|
Final answer:
The correct expression to find the distance on the number line between -7 and 16 is |16 - (-7)|, which equals 23 units. The distance is always a positive number.
Explanation:
The expression that shows the distance on the number line between −7 and 16 is |16 - (-7)|.
To find the distance between two points on a number line, subtract one point from another and take the absolute value of the result. This ensures the distance is positive, as distance cannot be negative. Hence, the correct expression is:
|16 - (-7)| = |16 + 7| = |23| = 23
So, the distance between the points is 23 units.
-4(3 - 2x) + 2x = 2x - 8
Please Help!
Due to fire laws, no more than 720 people may attend a performance at Metro Auditorium. The balcony holds 120 people. There are 32 rows on the ground floor, each with the same number of seats. Write an inequality to find the number of people that can sit in a ground floor row if the balcony is full. Identify what your variable represents.
Landon and Keira are preparing refreshments for a party. To make fruit punch, they will mix 2 gallons of grape juice with 1 cup of lemonade and 6 ounces of pineapple juice. How many ounces of punch will they make?
Help please
Match each point with one of the following fractions
3/4,1/4,7/16,5/8
A=5/8,B=1/4,C=3/4,D=7/16
A=1/4,B=5/8,C=7/16,D=3/4
A=3/4,B=1/4,C=5/8,D=7/16
A=1/4,B=7/16,C=5/8,D=3/4
A fraction is a way to describe a part of a whole. The correct option is D.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
To arrange the given fraction simply the given fraction as shown below.
3/4 = 0.75
1/4 = 0.25
7/16 = 0.4375
5/8 = 0.625
Since it can be seen that the points are arranged on the number line, therefore, the first point will have the least value, while the last point will have the maximum value.
Therefore, each point can be written in the fraction form as,
A = 0.25 = 1/4
B = 0.4375 = 7/16
C = 0.625 = 5/8
D = 0.75 = 3/4
Hence, A=1/4,B=7/16,C=5/8,D=3/4.
Learn more about Fraction here:
https://brainly.com/question/1301963
#SPJ2
A Number sentence that shows two expressions with the same value is a?
The term given to a number sentence with expresses the equality between two expressions is called an equation.
Word problems are usually solved Mathematically by converting problems in a given scenario into a number sentence. When a number sentence is written such that the expression on the right and left hand side are seperated by an equality sign, then the expression is reffered to as an equation. For instance ; 2a + 8 = 15 is an equation.Therefore, two expressions seperated by an equality sign is called an equation.
Learn more : https://brainly.com/question/18112348
Is this situation possible? <WXY and <WXZ are supplementary, and <YXZ is a right angle.
Will give brainliest for correct answer! easy algebra
The probability of an outcome that lies within 68% of the mean is a good indicator that it lies in which standard deviation? A. There is a probability that the outcome is within 3 standard deviations of the mean. B. Standard deviations are not reliable, so the probability cannot be determined. C. There is a probability that the outcome is within 2 standard deviations of the mean. D. There is a probability that the outcome is within 1 standard deviation of the mean.
Answer:
D. There is a probability that the outcome is within 1 standard deviation of the mean.
Step-by-step explanation:
The correct answer is an option (D) There is a probability that the outcome is within 1 standard deviation of the mean.
What is standard deviation?"It is a measure of the amount of variation of a set of values from is mean."
What is mean?"It is the average of all the set of values."
What is empirical rule?"It is a statistical rule which states that - For a normal distribution, the observed data will fall within three standard deviations of the mean.""This rule predicts that 68% of observations falls within the first standard deviation.""95% of observations falls within the first two standard deviations.""99.7% of observations falls within the first three standard deviations."For given question,
According to empirical rule,
The probability of an outcome that lies within 68% of the mean is a good indicator that it lies in the first standard deviation.
Therefore, the correct answer is an option (D) There is a probability that the outcome is within 1 standard deviation of the mean.
Learn more about the empirical rule here:
https://brainly.com/question/16849830
#SPJ2
a triangle with angles X(-6,1), Y(4,0), Z(1,3) is translated left 9 and up 12 . What are the new coordinates of the triangle
kelly is knitting a scarf for her brother. it took her 1/3 hour to knit 3/8 foot of the scarf. How fast is Kelly's knitting speed, in feet per hour?
Answer:
[tex]\frac{9}{8}[/tex] feet per hour fast is Kelly's knitting speed
Step-by-step explanation:
Unit rate defined as the rates are expressed as a quantity 1 such as 4 meter per seconds or 4 miles per hour.
As per the statement:
Kelly is knitting a scarf for her brother. it took her 1/3 hour to knit 3/8 foot of the scarf.
She took /3 hour to knit 3/8 foot of the scarf.
Then by definition of unit rate we have;
[tex]\text{Unit rate per hour} = \frac{\frac{3}{8} }{\frac{1}{3} } =\frac{3}{8} \cdot 3 = \frac{9}{8}[/tex] feet
Therefore, [tex]\frac{9}{8}[/tex] feet per hour fast is Kelly's knitting speed.
For the bake sal, Sandra baked 4 trays of cookies, with 12 cookies on each tray. Teo baked 6 pans of brownies and divided each pan into 8 piece. How many items will Sandra and Teo have for sale in total? Write a mathematical question (order of operations), hen solve your expression to find the answer.
Plz help, u will be awarded 20 points if u help.
Sandra and Teo will have a total of 96 items for the bake sale. We find this by first multiplying the number of trays Sandra baked by the number of cookies per tray, then multiplying the number of Teo's brownie pans by the pieces per pan, and finally adding our two results together.
Explanation:The subject of the question is Mathematics, specifically it is an arithmetic problem involving multiplication and addition. It is a middle school grade level question.
To solve it, we need to multiply the number of trays Sandra baked by the number of cookies on each tray. So, 4 (trays) * 12 (cookies) = 48 cookies.
Next, multiply the number of brownie pans Teo baked by the number of pieces each pan was divided into. That is, 6 (pans) * 8 (pieces) = 48 brownies.
Finally, to find the total number of items for the bake sale, we simply add our two results: 48 (cookies) + 48 (brownies) = 96 items.
Learn more about multiplication and addition here:https://brainly.com/question/35900808
#SPJ2
Is that correct? Algebra 2
Andrei has a glass tank. First, he wants to put in some marbles, each of which has a volume of 0.4 liters. Then, he wants to fill the tank with water until it's completely full. If he uses 50 marbles, he will have to add 33 liters of water.
What is the volume of the tank?
Andrei has exactly 20 liters of water. How many marbles does he need so the tank is full?
The volume of Andrei's tank is 53 liters. To fill the tank with 20 liters of water, Andrei needs 82 marbles, as marbles and water together must reach the tank's total volume.
Explanation:To find the volume of the glass tank that Andrei has, we need to calculate the total volume of marbles and water that fills the tank. Since each marble has a volume of 0.4 liters and he uses 50 marbles, the total volume of the marbles is:
0.4 liters/marble × 50 marbles = 20 litersWith 33 liters of water needed to fill the tank after the marbles are added, the total volume of the tank is:
20 liters (marbles) + 33 liters (water) = 53 litersTo determine how many marbles Andrei can add if he has exactly 20 liters of water, we set up the equation with the unknown number of marbles (represented by 'x'):
0.4 liters/marble × x marbles + 20 liters (water) = 53 liters (total volume)From the equation, we solve for x:
0.4x + 20 = 530.4x = 33x = 33 / 0.4x = 82.5 marblesSince Andrei cannot use a fraction of a marble, he'll need to use 82 marbles to fill the tank with 20 liters of water.
Learn more about Tank Volume Calculation here:https://brainly.com/question/36958228
#SPJ3
On a certain day 1 US dollar is equivalent in value to 90 Japanese yen. Lucy is going on a trip to Japan. She has $900 to spend. How many yen is this?
a group of hikers climbed from salt flats (elevation-55.03 ft) to talon bluff (elevation 620.75 ft). what is the difference between talon bluff and salt flats?
To calculate the elevation difference between Talon Bluff and Salt Flats, you subtract the elevation of Salt Flats from the elevation of Talon Bluff, resulting in a total ascent of 675.78 feet
The question asks about the elevation difference between two points, Salt Flats and Talon Bluff. To find the difference in elevation, you simply subtract the elevation of Salt Flats from the elevation of Talon Bluff. Therefore, the difference is
Elevation of Talon Bluff - Elevation of Salt Flats = 620.75 ft - (-55.03 ft) = 675.78 ft.
This means that the hikers ascended a total of 675.78 feet in elevation from the Salt Flats to Talon Bluff
The average human body temperature is 98.6 far Fahrenheit.Write 98.6 as a mixed number in simplest form.
Want 25 points and brainliest?Answer these 5 tough or easy math questions.Warning they're extremely annoying.
1.Solve: (h/4) + 9 = 6 h = _____
2.Solve: (m/-3) + -2 = 11 m = _____
3.Solve: (r/-5) - -6 = 10 r = _____
4.Solve: (z/-4) + -5 = -12 z = _____
5. Solve: (t/-8) - -4 = -6 t = _____
Rhosanda is downloading a file from the Internet. The size of the file is 7.45 MB. The file is downloading at the rate of 0.095 MB per second. How many seconds will it take to download the entire file? Round your answer to the nearest second.
Answer/Step-by-step explanation:
7.45/0.095 = 78 seconds
the sum of two numbers is 55 and the difference is 9. what are the numbers?
4,024 ÷68 with remainder
geometry homework please help
Dr. Sandoval, a farm veterinarian, just weighed a particular pig and found out it is 96 kilograms. The last time she checked, the pig weighed 100 kilograms. What percent lighter is the pig now?
Basher collected 4 1/3 basket of peaches and Orchard if each basket holds 21
peaches how many peache did he collect in all
The ratio of number of cars to the number of vans is 5:1. The ratio of number of vans to number of motorcycle in the same car park is 3:2 if there are 30 cars in the park how many motorcycle are there
which algebraic expresion is a polynomial with a degree of 2
The perimeter of a regular quadrilateral is 12 inches. What is its area?
plz help !!!
The required area of the regular quadrilateral is 9 square inches.
Given that,
The perimeter of a regular quadrilateral is 12 inches. What is its area is to be determined.
A quadrilateral is a four-sided shape, regular or nonregular.
Examples:- square, rectangle parallelogram etc.
Here,
A regular quadrilateral is a square.
the perimeter of the rectangle = 4 × side
12 = 4 × side
side = 12 / 4
Side = 3 inch
Area of the square = side²
Area of the square = 3²
Area of the square = 9 square inches
Thus, the required area of the regular quadrilateral is 9 square inches.
Learn more about quadrilateral here: https://brainly.com/question/13805601
#SPJ2
Evaluate the expression, using the given value of the variable. z ÷ 2 – 4z + 3(z – 3) when z = 8 A. –17 B. –13 C. –7 D. –1
Helppppppp me please if your good at math let me know willl be greatful
Joseph says that in the number 9,999,999,all the digits have the same value?Is Joseph correct? explain
Joseph is not correct.
What is place value?- Any number formed from some digits, each digit has a place value.
- For example : 1,234 this number formed from 4 digits
The place value of 4 is ones ⇒ 5
The place value of 3 is tens ⇒ 40
The place value of 2 is hundreds ⇒ 300
The place value of 1 is thousands ⇒ 2,000
1,234= 1,000 + 200 + 30 + 4
Now the given number is 9,999,999
Now the place value of each digit is given as,
∵ The number formed from 7 digits
- The place value of the leftmost digit is millions
- The place value of the digit before the million is hundred thousands
- The place value of the digit before the hundred thousands is
ten thousands
- The place value of the digit before the ten thousands is thousands
- The place value of the digit before thousands is hundreds
- The place value of the digit before hundreds is tens
- The place value of the digit before tens is ones
∴ 9,999,999 = 9,000,000 + 900,000 + 90,000 + 9,000 + 900
+ 90 + 9
∴ Each digit from the leftmost digit is ten times the digit before it
Hence, Joseph is not correct.
More about place value :
https://brainly.com/question/27733929
#SPJ2