The equation of a line with a given slope and passing through a point can be found using the point-slope formula.
To find the equation of a line with a given slope (m) passing through a point (a, c), we can use the point-slope formula. The point-slope formula is given by:
y - c = m(x - a)
where (x, y) represents any point on the line. This equation represents a line with slope m passing through the point (a, c).
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The sum of two consecutive integers is 41. Find the integers
PLZ HELP ME BY TONIGHT AT 12:30 ITS DUEEE
ps/ plz answer ALLL the questions
Hailey has bottles that hold 678 pennies
each. About how many pennies does she
have if she has 6 bottles filled with pennies?
What is 540 divided by 36 using partial quotients
express 24 + 64 as a product of the GCF and another sum
Which represents the solution set of the inequality 5x-9≤21
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]5x-9\leq 21[/tex]
solve the inequality
[tex]5x\leq 21+9[/tex]
[tex]5x\leq 30[/tex]
[tex]x\leq 30/5[/tex]
[tex]x\leq 6[/tex]
The solution is the interval----------> (-∞,6]
All real numbers less than or equal to [tex]6[/tex]
The solution of the inequality is the shaded area to the left of the solid line
see the attached figure
Read the problem in the box below. Make a list to help you find the correct answer.
Rory is staying in a cabin on a hill 300 feet above sea level. She walks down the hill to the water’s edge. The equation of her average change in elevation over time is e = 300 – 10t, where t is the time in minutes since she left the cabin, and e is her elevation with regard to sea level. Which values are viable points, and what are their values in the table relating t and e?
Rory's change in elevation over time is described by the equation e = 300 - 10t. Viable points are (0, 300), (10, 200), (20, 100), and (30, 0) feet, indicating that she reaches sea level after 30 minutes.
Understanding Rory's Change in Elevation:
Rory is walking down a hill from a cabin that is 300 feet above sea level. The equation describing her elevation over time is given by e = 300 - 10t, where e represents elevation regarding sea level, and t is the time in minutes since she started her journey.
Calculating Elevation Points:
To determine the viable points, we'll plug in different values of t into the equation to get corresponding values of e:
When t = 0,
e = 300 - 10(0) = 300 feet
When t = 10,
e = 300 - 10(10) = 200 feet
When t = 20,
e = 300 - 10(20) = 100 feet
When t = 30,
e = 300 - 10(30) = 0 feet
These values suggest that at t = 30 minutes, Rory reaches sea level.
Creating a Table:
The viable points and their corresponding values of e can be summarized in the following table:
(t = 0, e = 300 feet)
(t = 10, e = 200 feet)
(t = 20, e = 100 feet)
(t = 30, e = 0 feet)
Which simplified fraction is equal to 0.17 (7 repeating)
Answer:
[tex]\frac{8}{45}[/tex]
Step-by-step explanation:
We are given that
[tex]0.1\bar 7[/tex]
We have to find the value in fraction of given rational number
Let x=[tex]0.1\bar 7[/tex]
Multiply on both side by 10 then we get
[tex]10 x=1.77...[/tex]
[tex]10x=1.6+0.1\bar 7[/tex]
Substitute the value then we get
[tex]10x=1.6+x[/tex]
[tex]10x-x=1.6[/tex]
[tex]9x=1.6[/tex]
[tex]x=\frac{1.6}{9}[/tex]
[tex]x=\frac{16}{90}[/tex]
[tex]x=\frac{8}{45}[/tex]
Hence, the fraction =[tex]\frac{8}{45}[/tex]
If an angle measures 43°, then the angle is acute.
Are the statement and its inverse true?
Both the statement and its inverse are false.
The statement is false, but the inverse is true.
Both the statement and its inverse are true.
The statement is true, but the inverse is false.
Answer:the answer is The statement is true, but the inverse is false.
Step-by-step explanation:
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125 students have volunteered to be on the prom committee. 2 of those students will be randomly chosen to win free tickets to the prom. How many different ways can the winners be chosen?
Final answer:
There are 7,750 different ways the two winners can be chosen from the 125 students volunteering for the prom committee, calculated using the combination formula C(n, k) = n! / (k!(n-k)!).
Explanation:
To determine how many different ways the two winners can be chosen from the 125 students, we need to use the concept of combinations, because the order in which we choose the winners doesn't matter. The formula for combinations is given by:
C(n, k) = n! / (k!(n-k)!)
where:
n represents the total number of items,
k represents the number of items to choose.
For this situation:
n = 125 (total students),
k = 2 (winners to choose).
Therefore,
C(125, 2) = 125! / (2!(125-2)!)
= 125! / (2! * 123!)
= 125 * 124 / (2 * 1)
= 7750
So, there are 7,750 different ways the winners can be chosen to win free tickets to the prom.
The sum of 3 consecutive even numbers is 51. What is the smallest of the set. Let n represent the smallest of number of the set. Equation or inequity?
The record high January temperature in Austin, texas, is 90°f. The record low January temperature is -2°f. Find the differences between the high and low temperature.
Express 4 8\9 as an improper fraction
The improper fraction of the given expression is [tex]\frac{44}{9}[/tex].
What is the improper fraction?A fraction with a numerator greater than or equal to the denominator is said to be improper. The denominator is the lower number, and the numerator is the top number. When you have wholeness or more than one whole, you can have improper fractions. Here are a few instances of incorrect fractions:
7/5 18/18 100/13
We can see the number of pieces we have in the numerator and the number of parts we are dividing by in the denominator. In the case of an improper fraction, like the first one mentioned above, there are seven parts, each of which is a fifth of the whole.
The improper fraction of [tex]4 \frac{8}{9}[/tex] [tex]=[/tex] [tex]\frac{(9*4)+8}{9}[/tex]
[tex]=[/tex] [tex]\frac{36+8}{9}[/tex]
[tex]=[/tex] [tex]\frac{44}{9}[/tex]
Hence, the improper fraction of the [tex]4 \frac{8}{9}[/tex] is [tex]\frac{44}{9}[/tex] .
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X + 5 = 8 Justify each step. Check the solution.
Answer:
X = 3
Step-by-step explanation:
to answer this question you must isolate the X. Meaning you must get it by itself.
To get the x by itself you must minus 5 from BOTH sides. This will get the x by itself. That will be your answer
X = 3
What is the mean of 18.1, 17.9, 16.8, 18.7, 15.1
The floor of a small foyer will be made from square tiles.Each tile has a side length of 8 inches.Ifthe detentions of the floor are 24 inches by 48 inches, how many ceramic tiles are needed?
Floor: 24 * 48 = 1152 square inches
Tile: 8^2 = 64 square inches each
1152/64 = 18
18 tiles are needed
4. Describe the number set(s) the number belongs to: −√17
The number -√17 is an irrational number and is part of the set of real numbers.
Explanation:The number -√17 belongs to the set of real numbers. However, because this number is the square root of a positive number (17) and is multiplied by negative sign, it is not a rational number, but rather an irrational number.
It is part of the real numbers because the set of real numbers includes all numbers that can be plotted on a number line, including integers, rational numbers (numbers that can be expressed as a quotient of two integers), and irrational numbers (numbers that cannot be expressed as a quotient of two integers).
It is specifically an irrational number because the square root of 17 is a non-repeating, non-terminating decimal, and when we multiply this by a negative sign, the numerical value itself does not change, only its direction on the number line.
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Karoline needs to jog 30.5 miles over the next 7 days to train for a race. She plans to jog 4.25 miles each day. Use the drop-down menus to complete the statements about her race training.Karoline will jog a total of ______ miles over the next 7 days. Therefore, she will jog______ miles than needed.
Answer:
Part 1 : 29.75
Part 2: 0.75
Part 3: less
Step-by-step explanation:
Please help! Quick!
Problem:
Solve:
5z+7=32
Please SHOW ALL YOUR WORK! (P.S. please show your work clearly, because I will need it for other problems! Thanks!)
k/4 = 3/8 solve for k.
Answer:
The answer is 1.5
Step-by-step explanation:
my paperweight has a mass of 50g and a density of 2.5g/cm3.how much space does it take up?
To find the volume of a paperweight given its mass of 50g and density of 2.5g/cm³, you can use the formula Volume = Mass/Density. After substituting the given values into the formula the result is 20 cm³.
Explanation:The question is asking to find the volume of a paperweight given its mass and density. The formula used to find the volume when mass and density are given is: Volume = Mass/Density. Given that your paperweight has a mass of 50g and a density of 2.5g/cm³, you can use this formula to find volume.
First, substitute the values into the formula:
Volume = 50g / 2.5g/cm³
This calculation gives you a volume of 20 cm³. So, your paperweight takes up 20 cubic centimeters of space.
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54 over 4 as a mixed number
If a bat and ball costs $1:10
And the bat costs $1 more than the ball
How much does the ball cost?
Write an inequality that is true only for temperatures (t) that are higher than the boiling point of water.
math question down below
Write a division problem that has a 3-digit dividend and a divisor between 10 and 20. Show how to solve it by drawing a quick picture.
Answer:
In the division problem,
The number which is divided is called dividend,
While, the number which divides, is called divisor,
Let dividend = 150 ( a three digit number ),
Divisor = 15 ( a number between 10 and 12 ),
So, the problem would be,
[tex]150\div 15[/tex]
In the below figure,
Take a grid that shows 150,
Divide this grid such that each box represents 15,
Thus, there are such 10 boxes,
That is,
[tex]150\div 15 = 10[/tex]
The National Safe Kids Campaign and Bell Sports sponsored a study that surveyed 8,159 children ages 5 to 14 who were riding bicycles. Approximately 2/5 of the children were wearing helmets, and of those, only 13/20 were wearing the helmets correctly. About how many of the children were wearing helmets correctly?
Final answer:
To find the number of children wearing helmets correctly, multiply 2/5 by 8,159 to get the number of children wearing helmets, then multiply that result by 13/20 to get the number of children wearing helmets correctly, which is approximately 2,134.
Explanation:
The student's question involves mathematical computations to determine how many children were wearing helmets correctly out of a surveyed group. The data provided indicates that 2/5 of the 8,159 children were wearing helmets, and out of those, 13/20 were wearing the helmets correctly. To calculate the exact number of children wearing helmets correctly, we should perform the following steps:
Calculate the number of children wearing helmets: (2/5) × 8,159 = 3,263.6, which we can round down to 3,263 children, since we cannot have a fraction of a child.
Calculate the number of children wearing helmets correctly: (13/20) × 3,263 = 2,134.95, which we can round down to 2,134 children wearing helmets correctly.
Therefore, approximately 2,134 children were wearing helmets correctly.
Maia's calculator displays a number as 9.125 E10. What is this number in standard form?
we know that
The number [tex]9.125*10^{10}[/tex] is equal to
[tex]9.125*10^{10}=9.125*(10,000,000,000)=91,250,000,000[/tex]
therefore
the answer is
The number in standard form is equal to
[tex]91,250,000,000[/tex]