The local newspaper has letters to the editor from 20 people. If this number represents 4% of all of the newspaper's readers, how many readers does the newspaper have?
Answer:
500
Step-by-step explanation:
25 x 20 = 500
It takes 45 minutes or 45 over 60 of an hour to cook a chicken? How many fourths of an hour is that?
A. 1
B. 2
C. 3
D. 4
Answer:
3
Step-by-step explanation:
Divide 60 by 4 and get your answer of 15.
Now, divide 45 by 15 to get 3.
It takes 3 fourths of 60 to cook a chicken.
Therefore, 3 would be your answer.
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what is 0.468 divided by 6.5
0.072. is 0.468 divided by 6.5.
What is divide?divide in math is the operation of breaking a number up into equal parts, and finding out how many equal parts can be made.
To determine 0.468 / 6.5
first we change into fraction from
0.468 = 468 * 1/1000
6.5 = 65 * 1/10
468 /1000 * 65 /10
= 0.072.
Therefore, the final answer is 0.072.
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Give the slope of y - 3 = 4 ( x + 8 ) and a point on the line.
Answer:
Slope of the line is 4 and the point on the line is (-8,3)
Step-by-step explanation:
The equation of the line is given by [tex]y-3=4(x+8)[/tex]
The point slope form of a line is
[tex]y-y_1=m(x-x_1)[/tex]
Here, m is the slope of the line
And the point [tex](x_1,y_1)[/tex] lies on the line.
On comparing the given equation with the point slope form of the line
[tex]m=4,x_1=-8,y_1=3[/tex]
Therefore, the slope is 4 and the point on the line is (-8,3)
The slope of the equation is 4, and a point on the line is (0,35)
The equation is given as:
[tex]y - 3 = 4(x + 8)[/tex]
Open the bracket
[tex]y - 3 = 4x + 32[/tex]
Add 3 to both sides
[tex]y = 4x + 35[/tex]
A linear equation is represented as:
y = mx + b
Where m represents the slope
So, by comparison:
The slope of the equation is 4
Set x = 0
y = 4 * 0 + 35
y = 35
Hence, a point on the line is (0,35)
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Harry goes on a canoe trip with his scout troop.They will canoe a total of 75 miles and want to travel 8 miles each day .How many days will they need to travel the entire distance? Interpret the remainder.
Write an expression for the calculation 5 times the number 25 and then subtract the quotient of 14 and 7
How can the properties of operation be used to solve problems involving integers and rational numbers?
To solve problems with integers and rational numbers, one should apply operations' properties such as commutativity, associativity, and distributivity, which streamline calculations and assist in combining numbers in an order that simplifies the process.
Integers and rational numbers are essential elements of algebra that allow for diverse mathematical operations. Integers are the set of whole numbers including zero, and their negative counterparts (e.g., -1, 0, 1), while rational numbers are ratios of integers (e.g., 2/1, 3/4) that can represent fractions and decimals that terminate or repeat. When solving problems, it is crucial to remember the properties of operations, which include commutativity associativity , distributivity, the additive inverse and the multiplicative inverse.
For example, when adding fractions with different denominators, you find a common denominator and use commutativity and associativity to combine these fractions. A problem involving multiplication of a negative integer and a fraction may require both the distributive property and understanding of the multiplicative inverse. Mastering these properties provides a foundation for solving algebraic expressions and equations, ensuring accuracy whether the numbers are complex, real, rational, or integers.
Aubrey and Charlie are driving to a city that is 120 mi from their house. They have already traveled 20 mi, and they are driving at a constant rate of 50 mi/h. Complete the function that models the distance they drive as a function of time. Then complete a reasonable domain for this situation.
The distance function for Aubrey and Charlie's trip is d(t) = 20 + 50t, accounting for an initial 20 miles already traveled. The reasonable domain for time t in this situation is from 0 to 2 hours since they are traveling at 50 miles per hour and have 100 miles remaining.
Aubrey and Charlie have already traveled 20 miles and are continuing to travel towards a city that is 120 miles away from their start at a constant rate of 50 miles per hour. To complete the function that models the distance they drive as a function of time, we use the formula distance traveled is velocity imes time. With a start of 20 miles, the function can be written as:
d(t) = 20 + 50t
Where d(t) represents the distance traveled at time t in hours. For the domain, since they have already traveled 20 miles, the remaining distance is 100 miles. At a rate of 50 miles/hour, the maximum time needed to cover the remaining distance is 2 hours. Hence, the reasonable domain for time t is 0 ≤ t ≤ 2.
Kelly is saving money to buy a concert ticket. Her savings y for x days can be represented by the equation y=x+10. Graph the solutions of the equations?
Answer:
among us codes!
Step-by-step explanation:
TDGNQQ
Graph the function y = 2x3 – x2 – 4x + 5. To the nearest tenth, over which interval is the function decreasing?
(1, ∞)
(–∞, –0.7)
(–0.7, 1)
(–1, 0.7)
Answer:
Option 3 - (-0.7,1)
Step-by-step explanation:
Given : Function [tex]y=2x^3-x^2-4x+5[/tex]
To find : Over which interval is the function decreasing?
Solution :
First we plot the graph using graphing calculator.
Refer the attached figure below.
Now, Examining the graph
From [tex]-\infty[/tex] to (-0.667,6.63) the graph is increasing as the curve is increasing.
From (-0.667,6.63) to (1,2) the graph decreasing as the curve is decreasing.
From (1,2) to [tex]\infty[/tex] the graph is increasing as the curve is increasing.
So, The interval in which the function is decreasing is given by (-0.667,1)
Round to nearest tenth, (-0.7,1)
Therefore, Option 3 is correct.
Write this as an equation the product of 7 and j is 91?
Answer 7j = 91
Step-by-step explanation: Whenever it says "the product of", that's when you know you need to multiply. Since we already have the solution we need to divide 91 and 7 to get j. 91 divided by 7 is 13. So j=13
Jon invested 6,200 for 6 years at 3%.Calculate the simple interest.
0.770000 in scientific notations
find the error sienna used base-ten blocks to find 45÷3 .explain her error
Final answer:
To spot Sienna's error in using base-ten blocks for dividing 45 by 3, we need to verify the even distribution of tens and ones among three groups. The correct result should be 15, with each group receiving 1 ten block and 5 ones blocks.
Explanation:
To find the error made by Sienna in dividing 45 by 3 using base-ten blocks, we need to visualize the process. The number 45 consists of 4 tens (which are blocks representing the number 10) and 5 ones (single blocks representing the number 1). Since she is dividing by 3, Sienna should group the blocks into 3 equal groups to find the quotient, which should be the same number in each group when the blocks are divided evenly.
If Sienna were to correctly divide the blocks to find 45 ÷ 3, she would need to distribute the 4 tens blocks evenly among 3 groups, which would give each group one ten blocks, with one ten blocks remaining. These remaining ten blocks should then be exchanged for ten one's blocks, which, added to the existing five one's blocks, makes a total of fifteen one's blocks. These fifteen blocks can then be evenly distributed, giving each group five blocks. In the end, each group will have one ten-block and five blocks, meaning the quotient is 15.
Therefore, the error that Sienna could have made could include not exchanging a remaining tens block for ones blocks, or not distributing the ones blocks correctly after exchanging. It’s important to keep track of remainders and ensure even distribution among the groups to find the correct quotient in division with base-ten blocks.
Ulysses is spending his vacation in South Carolina. He rents a car and is offered two different payment options. He can either pay $25.00 each day plus $0.15 per mile (option A) or pay $10.00 each day plus $0.40 per mile (option B). Ulysses rents the car for one day.
Write an inequality representing the number of miles where option A will be the cheaper plan. (set up the inequality and then step by step how to solve)
How many miles will Ulysses have to drive for option A to be the cheaper option?
Please show step by step work
Which is greater 7 1/8 or 7.025
Simplify. 25√+35√−5√
Answer:
4√5
Step-by-step explanation:
i did the quiz
Answer:
4√5
Step-by-step explanation:
the perimeter of each face of a rubik's cube is 22.2 centimeters. What is the length of an edge of a Rubiks cube?
The edge length of a Rubik's cube, given a face perimeter of 22.2 cm is 5.55 cm.
Explanation:The question asks for the length of an edge of a Rubik's cube, given that the perimeter of each face of the cube is 22.2 cm. A Rubik's cube is a square based cube, meaning each face of the cube is a square.
In a square, all sides have equal length and the perimeter is four times the length of one edge. Therefore, to find the length of one edge, you divide the perimeter of the square by four. Using the provided perimeter of 22.2 cm, the length of an edge would be 22.2 ÷ 4 = 5.55 cm
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Mrs. Gibbs goes to the store to buy AA and 9V batteries. She needs at least 6 AA batteries. In all, she wants to buy at least 20 batteries. The store has 12 AA batteries and 15 9V batteries in stock.
The graph shows the feasible region, where x represents the number of AA batteries and y represents the number of 9V batteries.
Which ordered pairs meet all the constraints and make sense in the context of the situation?
Select each correct answer.
(7, 13)
(8,11)
(10,16)
(12,12)
Let
x------> represents the number of AA batteries
y------> represents the number of 9V batteries
we know that
The constraints are
[tex]x\geq 6[/tex]
[tex]x\leq 12[/tex]
so
[tex]6\leq x\leq 12[/tex] --------> inequality A
[tex]y\leq 15[/tex] --------> inequality B
[tex](x+y)\geq 20[/tex]
[tex](x+y)\leq 27[/tex]
so
[tex]20\leq (x+y) \leq 27[/tex]-----> inequality C
The solution of the system of inequalities is the shaded area in the attached figure
If a ordered pair meet all the constraints and make sense in the context of the situation, then the ordered pair is a solution of the system of inequalities
let's check each of the ordered pairs
case A) point [tex](7,13)[/tex]
[tex]x=7\ y=13[/tex]
Verify inequality A
[tex]6\leq 7\leq 12[/tex]--------> is true
Verify inequality B
[tex]13\leq 15[/tex] -------> is true
Verify inequality C
[tex]20\leq (7+13) \leq 27[/tex]
[tex]20\leq (20) \leq 27[/tex]------> is true
The ordered pair [tex](7,13)[/tex] meets all restrictions, therefore the ordered pair is a solution of the system of inequalities
case B) point [tex](8,11)[/tex]
[tex]x=8\ y=11[/tex]
Verify inequality A
[tex]6\leq 8\leq 12[/tex]--------> is true
Verify inequality B
[tex]11\leq 15[/tex] -------> is true
Verify inequality C
[tex]20\leq (8+11) \leq 27[/tex]
[tex]20\leq (19) \leq 27[/tex]------> is not true
The ordered pair [tex](8,11)[/tex] does not meet all the restrictions, therefore the ordered pair is not a solution of the system of inequalities.
case C) point [tex](10,16)[/tex]
[tex]x=10\ y=16[/tex]
Verify inequality A
[tex]6\leq 10\leq 12[/tex]--------> is true
Verify inequality B
[tex]16\leq 15[/tex] -------> is not true
Verify inequality C
[tex]20\leq (10+16) \leq 27[/tex]
[tex]20\leq (26) \leq 27[/tex]------> is not true
The ordered pair [tex](10,16)[/tex] does not meet all the restrictions, therefore the ordered pair is not a solution of the system of inequalities.
case D) point [tex](12,12)[/tex]
[tex]x=12\ y=12[/tex]
Verify inequality A
[tex]6\leq 12\leq 12[/tex]--------> is true
Verify inequality B
[tex]12\leq 15[/tex] -------> is true
Verify inequality C
[tex]20\leq (12+12) \leq 27[/tex]
[tex]20\leq (24) \leq 27[/tex]------> is true
The ordered pair [tex](12,12)[/tex] meets all restrictions, therefore the ordered pair is a solution of the system of inequalities
the answer is
[tex](7,13)[/tex]
[tex](12,12)[/tex]
One lap of a high-speed automobile race is 2.60 miles. A driver completes 35 laps traveling at 182 miles per hour.
Explain how you can use the equation d=rt to find the time it takes to complete the laps.
Final answer:
To calculate the time it takes for a race car to complete 35 laps at 182 miles per hour, multiply the number of laps by the lap distance to get the total distance, then divide by rate to get time, resulting in 0.5 hours or 30 minutes.
Explanation:
To find the time it takes to complete 35 laps in a high-speed automobile race using the equation d = rt, where d is distance, r is rate, and t is time, follow these steps:
First, calculate the total distance traveled by multiplying the number of laps (35) by the distance per lap (2.60 miles), which equals 91 miles.Next, use the race driver's speed (182 miles per hour) as the rate in the equation.Finally, rearrange the equation to solve for time: t = d/r. The time is the total distance (91 miles) divided by the rate (182 miles per hour).Performing the calculation, the time to complete the laps is 0.5 hours or 30 minutes.
I don't get this I need help
If the original quantity is 8 and the new quantity is 6, what is the percent decrease?
Answer:
25%
Step-by-step explanation:
How to solve this?help!
1. On a construction site, the workers excavated 30,000 cubic feet of dirt. How many cubic meters did they excavate? A. 84.9 B. 1,050 C. 849 D. 105
Answer:
Step-by-step explanation:
Alright, lets get started.
Since we know,
[tex]3.28084 feet = 1 meter[/tex]
So,
[tex]1 feet = \frac{1}{3.28084} meter[/tex]
[tex]1 cubic feet= \frac{1}{3.28084} *\frac{1}{3.28084}* \frac{1}{3.28084}cubic meters[/tex]
Hence
[tex]1 cubic feet = 0.0283168 cubic meters[/tex]
So, 30000 cubic feet = [tex]30000*0.0283168 = 849.5[/tex] cubic meters
hence the answer is 849 cubic meters. : Answer
Hope it will help :)
How do you solve 2 tenths + 11 hundredths
(03.05) A coal car on a train weighs 30 tons plus 1 ton per cubic yard of coal x that it carries. The total weight of a coal car is: f(x) = x + 30. How will the graph of this function change if the coal car weight is changed to 26 tons? (1 point)
The line will shift vertically up by 4 tons.
The line will shift vertically up 26 tons.
The line will shift vertically down by 4 tons.
The line will shift vertically down by 26 tons.
The line will shift vertically down by 4 tons.
Point M is the midpoint of segment QR. If QM = 16 + x and MR = 2(x + 2), find the length of QR. QR = 12 QR = -12 QR = 28 QR = 56
Liam is setting up folding chairs for a meeting. If he arranges the chairs in 6 rows of the same length, he has 7 chairs left over. If he arranges the chairs in 4 rows of that same length, he has 19 left over. How many chairs does Liam have?
sherry has five times as many computer games as jay . Nairan has three times as many computer games as jay. sherry has 16 computer game's more than Nairan has .hiw many games does jay have?
Answer:
Jay has 8 computer games
Step-by-step explanation:
Let
x -----> the number of computer games Sherry has
y -----> the number of computer games Jay has
z -----> the number of computer games Nairan has
we know that
[tex]x=5y[/tex] ----> equation A
[tex]z=3y[/tex] ----> equation B
[tex]x=z+16[/tex] ----> equation C
Substitute equation A and equation B in equation C and solve for y
[tex]5y=3y+16[/tex]
[tex]5y-3y=16[/tex]
[tex]2y=16[/tex]
[tex]y=8[/tex]
therefore
Jay has 8 computer games
what can you conclude about the product of 7/8 and 8
Final answer:
The product of 7/8 and 8 is the multiplication of a fraction by a whole number, leading to the simplified result of 7. This is because multiplying by 8/8 (which equals 1) does not change the original numerator of the fraction.
Explanation:
When we talk about the product of 7/8 and 8, we are performing a multiplication between a fraction and a whole number. To do this, you can multiply the numerator of the fraction by the whole number and leave the denominator unchanged. Since 7/8 multiplied by 8/1 is the same as 7/8 times 8, you can simplify the equation by multiplying 7 by 8, which gives you 56, and then divide that by the denominator, which is 8. So, the product is 56/8, which simplifies to 7. This is because 8/8 is essentially 1, and multiplying by 1 doesn't change the value of the number, thus the product of 7/8 and 8 is the same as the numerator 7.