Answer:
5 1/4 ft
Step-by-step explanation:
... Area = length × width
Dividing by length, we find width to be ...
... width = Area / length
... = (60 3/8 ft²)/(6 ft +5 1/2 ft) . . . . total length is the sum of the 2 board lengths
... = (483/8 ft²)/(92/8 ft) = 483/92 ft = 5 1/4 ft
_____
Math with Fractions
[tex]60\dfrac{3}{8}=60+\dfrac{3}{8}=60\cdot\dfrac{8}{8}+\dfrac{3}{8}\\\\=\dfrac{60\cdot 8}{8}+\dfrac{3}{8}=\dfrac{480+3}{8}=\dfrac{483}{8}[/tex]
Division with fractions can be done a couple of different ways.
"invert the denominator and multiply"make the denominators of the fractions be the same, so the quotient is the ratio of the numeratorsWe have used the second method here.
[tex]11\dfrac{1}{2}=11+\dfrac{4}{8}=11\cdot\dfrac{8}{8}+\dfrac{4}{8}\\\\=\dfrac{11\cdot 8}{8}+\dfrac{4}{8}=\dfrac{88+4}{8}=\dfrac{92}{8}[/tex]
Now we have the two numbers as improper fractions, so the division looks like ...
[tex]\displaystyle\frac{\left(\frac{483}{8}\right)}{\left(\frac{92}{8}\right)}=\frac{483}{92}=\frac{23\cdot 21}{23\cdot 4}\\\\=\frac{21}{4}=5\frac{1}{4}[/tex]
Rubber band is 3 eanch long.its stretched to 24 inches.How many times longer is the rubber band now than it was stretched?
This would be 72 Inches. Or 6 feet.
given the function f(x)=(x+2) find each if the following f(1), f(-10),f(0)
The sum of three consecutive even numbers is 174. What is the smallest of the 3 numbers?
The smallest value is 56.
First even number + second even number + third even number = 174
First even number: x
Second even number: x + 2
Third even number: x + 4
So, (x) + (x+2) + (x+4) = 174
3x + 6 = 174
3x = 168
x = 56
(56 + 58 + 60 = 174)
Final answer:
The smallest of the three consecutive even numbers whose sum is 174 is determined by setting up an equation and solving for x, which represents the smallest number. The solution reveals that the smallest number is 56.
Explanation:
The question asks for the smallest of three consecutive even numbers whose sum is 174. To find the numbers, we can set up an equation where x represents the smallest even number, x+2 represents the second number, and x+4 represents the third number. The equation will be x + (x+2) + (x+4) = 174. When we solve it, we combine like terms to get 3x + 6 = 174, then subtract 6 from both sides to get 3x = 168, and finally divide by 3 to get x = 56. Therefore, the smallest of the three consecutive even numbers is 56.
16-8y=4x function form
First you need to subtract 16 from each side.
-8y=4x-16
And divide -8 from each side
Y=4/8x-2
Reduce fraction
Y=1/2x-2
Write a system of equations with the solution (4,-3)
Answer:
y = 3x-15 and y = x-7
Step-by-step explanation:
We are asked to write a system of equations with the solution (4,-3)
It is sufficient if we find two lines passing through this point.
Let us take first line as with slope 3.
Then the equation would be of the form
y-y1 = m(x-x1)
y+3 = 3(x-4)
Or y = 3x-15 is one line
Let second line have slope 1
y+3 = 1(x-4)
y = x-7
Now we have two systems of equations as
y = 3x-15 and y = x-7
Help with this please
Answer:
1. 26:5 or
[tex]\frac{26}{5}[/tex] or
5.2 as a decimal
2. 21:26 or
[tex]\frac{21}{26}[/tex] or
0.81 as a decimal
3. 21:5 or
[tex]\frac{21}{5}[/tex] or
4.2 as a decimal
4. 5:21 or
[tex]\frac{5}{21}[/tex] or
0.24 as a decimal
Step-by-step explanation:
A ratio is a comparison of two quantities and can be written in several forms including fractions. It is most commonly written in fraction form or a:b.
To write a ratio, we count the number of each quantity we are comparing. A part to whole ratio for letters and vowels would be the part compared to the whole. For example, there are 21 consonants to 26 letters in the alphabet. We write 21:26 or [tex]\frac{21}{26}[/tex] or 0.81. We can also compare the number of vowels which is 5:26 or
A part to part ration compares a part to a part like the number of consonants is 21 with the number of vowels is 5. We write the ratio as consonants : vowels.
21:5 or
[tex]\frac{21}{5}[/tex] or
4.2 as a decimal.
We can reverse and write vowels : consonants.
5:21 or
[tex]\frac{5}{21}[/tex] or
0.24 as a decimal.
which of the following does not describe 10x?
A.)The product of 10 and x
B.)10 times x
C.)x times 10
D.)the quotient of 10 and x
The statement that does not describe 10x is the quotient of 10 and x.
Explanation:The correct answer is D.)the quotient of 10 and x. This is because 10x represents the product of 10 and x, or 10 times x. It can also be written as x times 10. However, it does not represent the quotient of 10 and x.
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kendrick can finish a 240 page book in 2 hours. how many pages does he read per minute?
He reads 2 pages per minute. So Divide 2 hours in it's minute form by 240. So like this:
240÷120=2
Kendrick can read 2 pages per minute if he can finish a 240-page book in 2 hours.
The question asks how many pages Kendrick can read per minute if he can finish a 240-page book in 2 hours. First, we need to transform the hours into minutes. Since there are 60 minutes in an hour, 2 hours equate to 120 minutes. Next, to find out how many pages Kendrick reads per minute, we divide the total number of pages by the total number of minutes.
240 pages ÷ 120 minutes = 2 pages per minute.
Therefore, Kendrick reads 2 pages per minute.
What are two other ways to write 20,000,000+6,000,000+300,000+5,000+20+6
2 * 10 to the 7th plus 6 * 10 to the 6th plus 3*10 to the 5th plus 5000 plus 20 + 6
2 * 10 to the 7th plus 6 * 10 to the 6th plus 3*10 to the 5th plus 5 * 10 to the third plus 20 + 6
Two other ways to write this equation are
1. Standard Form: 26,305,026
2. Written Form: Twenty six million, three hundred five thousand, twenty six.
Gift bags are being distributed at a birthday party. If there was a total of 140 jolly ranchers
and 60 candy bars placed into gift bags, how many different combinations can be made so that there are not any pieces of candy left over? Which combination has the most amount of bags? Explain
Answer:
Total number of jolly ranchers= 140
Total number of candy bars= 60
Now , we have to place jolly and candy into gift bags such that no pieces of candy should left.
1. Find the ratio of jolly ranchers and candy bars
= 140/60
= 7/3
So, possible combination are (7,3),(14,6),(28,12),(35,15),(70,30).
1.So,in combination (7,3), number of bags=[tex]\frac{Total candy}{(7+3)}[/tex]
=[tex]\frac{200}{10}[/tex]
=20
2. Number of Bags(14,6)=200÷20=10
3.Number of Bags(28,12)=200÷40=5
4.Number of Bags(35,15)= 200÷50=4
5.Number of Bags(70,30)=200÷100=2
Combination (1) in which there are 7 Jolly ranchers and 3 candy bars has the most amount of bags which is 20.
Uncle Percy sold t-shirts at the show. Now he only has 10% of the t/shirts now, how many did he start with?
Answer: He started with 250 t-shirts.
Step-by-step explanation:
Let the total number of shirts he start with be 'x'.
He has only 10% of the t-shirts.
Number of t-shirts he has now = 25
According to question, it becomes,
[tex]\frac{10}{100}\times x=25\\\\0.1\times x=25\\\\x=\frac{25}{0.1}\\\\x=250[/tex]
Hence, he started with 250 t-shirts.
Thus, Second option is correct.
What is the equation of this line?
Y= 1/2x - 3
Y= -1/2x - 3
Y= -2x - 3
Y= 2x - 3
answer: y = 1/2x - 3
why?: if you go 1 unit up (which is positive) and go right 2 units (which is positive). you will get 1/2 as your slope. the y-intercept would be -3 because the line passes through the y-axis on -3.
With an addition table, it asks to show row of numbers that represent sums with one addend of 10. Please help. Thx
To find the row of numbers that represent sums with one addend of 10, look at the addition table and locate the row with 10 as the first number.
Explanation:To show a row of numbers that represent sums with one addend of 10, we can look at the addition table. In this table, we find the row where the first number is 10.
The numbers in this row will be the sums with 10 as one of the addends. For example, in the row where the first number is 10, the second number will be 10+0=10, the third number will be 10+1=11, and so on.
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The requested row in the addition table consists of sums of numbers 1-10, with an addend of 10. The sums range from 11 (10 + 1) to 20 (10 + 10).
Explanation:
In mathematics, an addition table is a table used to define the operation of addition. The question is asking for a row of numbers that represent sums when one of the numbers added (one addend) is 10. So, for example, if we are adding 10 to a series of numbers 1 through 10, the row in the addition table would look like this:
10 + 1 = 11 10 + 2 = 12 10 + 3 = 13 10 + 4 = 14 10 + 5 = 15 10 + 6 = 16 10 + 7 = 17 10 + 8 = 18 10 + 9 = 19 10 + 10 = 20 Learn more about Addition here:
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Find the slope:
x-5=0
Answer:
slope is 1
Step-by-step explanation:
1 is the coefficient of x variable
so slope is 1
please solve this i dont no how. im good at English how do you fail English if you speak the language
*(Step-By-Step)*
[tex]15.8+14.9+16.7+17.6+13.4=78.4[tex] Add all numbers
[tex]78.4/5=15.68[/tex] Divide 5 which is the number of data set to 78.4
*(Answer)*= The mean is 15.68
A blueprint for a garage has a scale of 1.5 cm to 3 m. On the blueprint, the length of one wall is 8 cm. If w represents the length of the actual wall, what is w?
Answer:
16m
Step-by-step explanation:
What is the equation of this graphed line?
Enter your answer in slope-intercept form
The and would be y=-1/3x-5 because to find slope you would use the equation y2-y1 divided by x2-x1 and find the slope of -4/12 which simplifies to -1/3 and the y-int is -5 so you would just plug that in.
I will give 80 points if u anwser this.
What is the equation of this line in standard form?
7x−6y=11
6x−5y=−13
6x−7y=11
6x−7y=−11
Answer:
[tex]6x-7y=11[/tex]
Step-by-step explanation:
we know that
The equation of the line in standard form is equal to
[tex]Ax+By=C[/tex]
step 1
Find the slope m
Let
[tex]A(-3,-1), B(1/2,2)[/tex]
[tex]m=\frac{2+1}{(1/2)+3}\\ \\m=\frac{6}{7}[/tex]
step 2
The equation of the line in point-slope form is equal to
[tex]y-y1=m(x-x1)[/tex]
with the slope m and the point B find the equation of the line
[tex]y+1=\frac{6}{7}(x+3)[/tex] ------> multiply by 7 both sides
[tex]7y+7=6(x+3)[/tex]
[tex]7y+7=6x+18[/tex]
convert to standard form
[tex]6x-7y=18-7[/tex]
[tex]6x-7y=11[/tex]
HELP PLEASE!!!!!!!!!!!!!! PLEASE!!!!!! I GIVE BRAINLIST <#3
11.)
x y
75 50
175 50
x y
10. it isn't a function because an x value was repeated
11. x= 1,2,3,4
y= 125, 175, 225, 275
this is a function
Carol is given a 10% pay decrease. Her new wage is £306 per week. What would be her weekly wage if, instead, she had received a 10% pay increase?
To find Carol's weekly wage with a 10% increase, first calculate her original wage before the decrease, and then apply the 10% increase to this original wage to find the new increased wage.
Explanation:The question involves calculating Carol's original weekly wage prior to the 10% pay decrease to find out what her wage would be with a 10% pay increase instead. To calculate the original wage before the decrease, divide the current wage (£306) by 0.9 (since 10% decrease implies she's now getting 90% of her original wage). After finding the original wage, we can calculate what her wage would be with a 10% increase by multiplying the original wage by 1.10.
First, let's find the original wage: Original Wage = £306 / 0.9. Now that we have Carol's original wage, we can calculate the 10% increase: New Wage with 10% Increase = Original Wage × 1.10.
Following these steps, we can determine what Carol's wage would have been if her pay had been increased by 10% instead of decreased.
Using the figure below, identify two line segments that complete the given expression: Given: FLAG is GXYZ is XY | | Segment GF Segment AL Segment GZ Segment GX Segment FL
Answer:
Segment XY is || GZ & FL.
Step-by-step explanation:
If you look at the figure closely, you will see that the only two parallel segments are the above.
Hope this helps.
whats the answer to 2 2/8
2 2/8=10/8 22/8=2 6/8 or 2 3/4
if you are trying to make it an improper faction it would be 9/4
For any three consecutive numbers, what can you say about odd numbers and even numbers?Explain
[tex] \frac{5}{12} \div \frac{2}{11} = [/tex]
Solve. To solve this equation, you must change the divide sign into a multiplication sign.
To do so, change it into a multiplication sign, and flip the second fraction
(5/12)/(2/11) = 5/12 x 11/2
Multiply across
5/12 x 11/2 = 55/24
55/24, or 4 7/12
hope this helps
~Rise Above the Ordinary
Answer:
55/24
Step-by-step explanation:
First you flip the second fraction because its division-
2/11=11/2
Therefor-
5/12*11/2=55/24
Deanna calculator that she about 5.4 x 10^4 seconds doing her math homework during October write this time in standard notation
an investment earns 5% simple interest. what amount of principal is need to have $2500 after 4 years? round your answer to the nearest cent
Answer:
2083.33
Step-by-step explanation:
plug in equals = 2500/1+(0.05 x 4)
Is 2083.3 repeating
Round to the nearest cent is 2083.33
The Jones family traveled 314 miles each day until they reached their destination, which is 1,256 miles away from their starting point. How many days did they drive until they arrived at their destination?
Ig yook yen 4 days to get to their destination.
You decide to start baby-sitting. You find out it is $42 for the CPR certification. Your
mom is going to charge you $1 for gas and use of her cell phone for each hour you
baby-sit as she has to drive you to all of your jobs. If you charge $8 an hour for each
hour you baby-sit, how many hours will you need to work to break even in your new
venture?
what property is shown?
distributive property because you are distributing the 2
how to sovle this equation
Your answer is b
X^3-8= (x-2)(x^2+2x+4)
To check you multiply each term on first expression to the second expression .
(X-2)(x^2+2x+4)
X(x^2)+x(2x)+x(4) +(-2(x^2)-2(2x)-2(4))
Simplify
X^3+2x^2+4x-2x^2-4x-8
Subtract 2x^2 from 2x^2
X^3+4x+0-4x-8
Add x^3 And 0
X^3+4x-4x-8
Subtract x^3-0
X^3-8