What does x equal? 2x-8=2x+6+x
Mrs.Gee has 24 carpet squares how should she arrange them so that she has the smallest perimeter
Mrs. Gee should arrange the 24 carpet squares in a rectangle of 6 by 4 squares to achieve the smallest perimeter of 20 units.
Arranging Carpet Squares with the Smallest Perimeter
To minimize the perimeter when arranging 24 carpet squares, Mrs. Gee should create a shape that is as close to a square as possible. Since 24 is not a perfect square, we look for dimensions that are factors of 24 that are closest to each other, which are 6 and 4. This would create a rectangle that is 6 squares long and 4 squares wide. Arranging the carpet squares in this manner results in a perimeter of:
(6 + 4) x 2 = 20 units
This is the smallest possible perimeter for 24 squares with whole number side lengths.
Andy brought a computer. The length of the computer is 32 inches and the width is 14 inches. Find the area of the computer.
A pelican dives from 50.7 feet above the ocean and catches a fish 5.6 feet under the water. How far did the pelican travel?
each team in the league has five starters and two alternates if there are 30 starters in all how many alternates?
a certain tree can grow 0.45 meters in one year at that rate how much can the tree grow in 3 years
18 3/4 divided by 1 1/2
A number has the digit 2,5,and4. To the nearest 100, the number rounds to 200. What is the number?
The number with digits 2, 5, and 4 rounds to 200 when rounded to the nearest hundredh is 245.
What is rounding off of numbers?We round off numbers to make them easier to remember and it also keeps their value approximately to the place it has been rounded off.
To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.
Given, A number has the digits 2, 5, and 4. To the nearest 100, the number rounds to 200.
Now if it rounds to 200 the first digit must be 2 so the number is either
254 Or 245.
254 rounds to 300 and 245 rounds to 200.
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solve for y please
3+4[y+1]=159
Find each percent of change. Round to the nearest whole percent if necessary. State weather the percent of change is an increase or decrease.
1. Original: 150
New: 175
2. Original: 225
New: 180
3. Original: 15
New: 25
Using elimination solve 2x+7y=1 and 2x-4y=12
The solution to the system 2x + 7y = 1 and 2x - 4y = 12 is (- 1, 4).
What is the elimination method?In the elimination method of solving two or more than two equations, we make one variable of both equations the same by multiplying or dividing and then we add or subtract them.
Given, 2x + 7y = 1 and 2x - 4y = 12.
If we subtract (2x + 7y = 1) - (2x - 4y = 12) we'll have,
7y + 4y = 1 - 12.
11y = - 11.
y = - 1.
Now putting the value of y in any one of these equations we get,
2x + 7(-1) = 1.
2x - 7 = 1.
2x = 8.
x = 4.
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A laptop computer is purchased for $1500 . After each year, the resale value decreases by 35% . What will the resale value be after 4 years?
If 217 over 300 is written as a decimal, how many digits repeat?
1. Write 2.96 as a mixed number or fraction in simplest form? 2. During a soccer game, Erin scored 1 out of 2 goals attempted. Lauren scored 6 out of 8 goals attempted. Write the fracton that represents each and compare, who was the most successful?
13 snakes 11 lizards 7 turtles and 8 Tortoises How many more snakes and lizards than turtles are at the zoo? 2nd grade question
Mrs. O'Neill has 9 times as many markers as colored pencils. The total number of markers ans colored pencils is 110. How many colored pencils does Mrs. O'Neill have?
There are 11 colored pencils and 99 markers.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Mrs. O'Neill has 9 times as many markers as colored pencils.
Total number of markers and colored pencils = 110.
let the number of colored pencils be x.
Then, number of markers = 9x
Thus x+ 9x = 110
10x =110
x= 11
So, there are 11 colored pencils and 99 markers.
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Final answer:
Mrs. O'Neill has 11 colored pencils.
Explanation:
To solve the problem of how many colored pencils Mrs. O'Neill has, let's denote the number of colored pencils as x. According to the information given, Mrs. O'Neill has 9 times as many markers as she has colored pencils, so the number of markers is 9x.
The total number of markers and colored pencils is 110, represented by the equation x + 9x = 110.
Solving this equation will help us find the value of x:
Combine like terms: x + 9x becomes 10x.Divide both sides by 10 to isolate x: 110 / 10 = 11.Therefore, x, the number of colored pencils, is 11.Mrs. O'Neill has 11 colored pencils.
The area of a circle is 50.24 square centimeters what is the diameter
Answer:
it is 8 feet
Step-by-step explanation:
80,680 to the nearest thousand
Write a compound inequality that each graph could represent . Picture below.
square root of 1682/20000 and not a decimal plz
The ratio of blue tacks to red tacks on the bulletin board is 3 to 5. there are 50 red tacks. how many blue tacks are on the board?
On a map, 1/2 inch represents 4/5 mile. What distance on the map represents 1 mile?
0.625 inches on the map represents 1 mile.
To find how much distance on the map represents 1 mile when [tex]\frac{1}{2}\ inch[/tex] represents [tex]\frac{4}{5}\ mile[/tex], set up a proportion.
If [tex]\frac{1}{2}\ inch = \frac{4}{5} \ mile[/tex], then we can set up the equation:
x inches = 1 mile
First, we recognize that:
[tex]\frac{4}{5} \ mile = 0.8\ mile[/tex][tex]\frac{1}{2}\ inch = 0.5\ inch[/tex]Next, using the proportion, we can set up and solve for x:
[tex]\frac{0.5\ inch}{0.8\ mile} =\frac{x\ inch}{1\ mile}[/tex]
Cross-multiplying gives:
0.5 * 1 = 0.8 * x
0.5 = 0.8x
Solving for x:
[tex]x = \frac{0.5}{0.8}[/tex]
x = 0.625 inches
Therefore, 0.625 inches on the map represents 1 mile.
A group of 72 students went on a field trip . The students traveled in vans , with an equal amount of boys and girls in each van . If 42 boys went on the trip ,how many vans were there?
On a scale drawing of a house, a rectangular bedroom has a length of 8 inches and a perimeter of 30 inches. the scale is 0.5 inch = 1 foot. what is the actual width in feet of the bedroom.
A. 7 feet
B. 14 feet
C. 15 feet
D. 22 feet
Describe and correct the error in writing 39/40 as a percent 39/40= 0.975 = 9.75/100=9.75%
This graph shows the water level in a bathtub, in inches, over time, in minutes.
After the tub started to drain, how many minutes did it take for the tub to drain completely?
Enter your answer below
? Min
Hello! I know somebody might have already answered this question, but I figured I could add more to it. In order to help you know whenever a question shows up like this again, I'll make an ordered situation for you.
Let's go ahead and make the situation!
The Situation: Let's call the person trying to figure this problem out by Alison. Alison turns on the water and allows it to run in the tub for about 9 minutes. She then turns the water off while she runs to answer the front door. She soon comes back and allows water to run into the tub for a couple more minutes before she takes a short bath. After the bath, Alison allows the water to completely drain from the tub. That's how the problem would've went, but your question.
When you're asking the question you're also trying to figure out how it would've gone. So, since you tried following the paragraph I made for the picture/problem I can show how'd it help you comprehend it better. After Alison turns on the water, turns it back off then comes back to run the water AGAIN.. She finally drains it from the tub, which is what the picture exactly shows. BUT when did she turn it off?!!!
Look at the problem, at the point where the Water level(in) starts decreasing. We know that we end with the Water level(in) at 0, but how'd it get there? The point at 12 in time is when it starts decreasing! But, from there it continues until it's at 15(min)
THE FINAL ANSWER: At 12(min) it decreases until it hits 15(min) which is when the tub is empty. So, if you do common math 15(min) - 12(min) is 3(min) So, it took 3(min) to empty the tub when it was the most full.
Sean collects trading cards. The number of cards that he owns is given by the fiction y=10x+25, where is x is the time of months since he began collecting.
which is the BEST interpretation of the constant term in this function?
A. the number of cards that he had when he started his collection
B. the number of new cards that he gets each month
C. the number of cards he has currently
D. the cost of a new pack of trading cards
The constant term in the function y=10x+25, representing the number of trading cards Sean has, is 25. This term is best interpreted as the number of cards Sean had when he started his collection, which corresponds to Option A.
Explanation:The function y=10x+25 represents the number of trading cards Sean has over time, where y is the number of cards and x is the time in months since he began collecting. The constant term in this linear equation (the number 25) is the y-intercept, which is the value of y when x is zero. This term represents the number of cards that he had when he started his collection. It shows us that before any months have passed (when x=0), Sean already had 25 cards. Therefore, the best interpretation of the constant term in this function is Option A: the number of cards that he had when he started his collection.
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A student reads 2⁄5 of a book in 45 minutes. How much of the book will be read if the student reads at the same speed for 70 minutes? Write your answer as a fraction of a book
Answer:
[tex]\frac{28}{45}[/tex] of the book student read in 70 minutes
Step-by-step explanation:
A student reads 2⁄5 of a book in 45 minutes.
In 45 minutes the student reads 2/5 of a book
In 1 minute the student reads 2/5 divide by 45
[tex]\frac{\frac{2}{5}}{45} = \frac{2}{225}[/tex]
In 1 minute the student reads [tex]\frac{2}{225}[/tex]
In 70 minutes the student reads [tex]70* \frac{2}{225}[/tex]
[tex]\frac{140}{225}[/tex]
Now simplify the fraction
divide both sides by 5
[tex]\frac{28}{45}[/tex]
what is long divisoin for 6,250÷5
Final answer:
The long division for 6,250 ÷ 5 results in 1,250. By dividing each place value by 5 methodically, you arrive at the total step by step.
Explanation:
Performing Long Division
To perform the long division for 6,250 ÷ 5, you divide 6,250 by 5. Here’s the step-by-step process:
First, you look at the thousands place. 6,000 divided by 5 gives you 1,200. So you write 1,200 above the division bar.
Next, since you accounted for 5,000 of the 6,250, you have 1,250 left. Then divide 1,000 by 5 to get 200, and write this under the 1,200.
Now you have accounted for 6,000 and only 250 remain. You divide 250 by 5 to get 50 and write this under the 200.
Add the totals above the division bar: 1,200 + 200 + 50 to get 1,250.
The answer to 6,250 ÷ 5 is 1,250. This is how you use long division to solve this problem.
what is the product of a number and its reciprocal
The product of a number and its reciprocal is always 1, because multiplying a number by 1 divided by itself simplifies to 1.
The product of a number and its reciprocal is always 1. This is because a reciprocal is defined as 1 divided by the number. For any non-zero number x, the reciprocal is [tex]\frac{1}{x}[/tex]. Therefore, when you multiply a number by its reciprocal, x × [tex]\frac{1}{x}[/tex], you are essentially multiplying the number by 1 divided by itself, which simplifies to 1.
For example, the reciprocal of 2 is [tex]\frac{1}{2}[/tex], and when you multiply 2 by [tex]\frac{1}{2}[/tex], the product is 2 × [tex]\frac{1}{2}[/tex] = 1. This concept is crucial in mathematics, as it underlies the operations of division and multiplication, where division by a number is the same as multiplying by its reciprocal.