Three tables are placed side by side. One table is 5 feet 7 inches wide, another is 2 feet 10 inches wide, and the third is 4 feet 9 inches wide. How wide are they combined?
Answers
The total width of the three tables is equal to 13 feet 2 inches.
What is a conversion factor?In Science and Mathematics, a conversion factor can be defined as a number that is used to convert a number in one set of units to another, either by dividing or multiplying.
Generally speaking, there are one (3) foot in twelve (12) inches. This ultimately implies that, a proportion or ratio for the conversion of feet to inches would be written as follows;
Conversion:
1 foot = 12 inches.
Feet Inches
5 7
2 10
4 9
============
11 26
26 inches to feet = 26/12 = 2 feet, 2 inches.
Total width = 11 feet + 2 feet, 2 inches
Total width = 13 feet 2 inches.
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Related Questions
area of a floor 19m by 12 m is
Answers
Answer:228m
Step-by-step explanation: 19m x 12m = 228m
Answer: 228m
Step-by-step explanation: Just multiply 19m by 12m. That's how you find area.
WZ=WZ is what logic property
please help!!
Answers
Answer:
it is b
Step-by-step explanation:
A. A’B + AB
B. XY + X(WZ + WZ’) the answer is B.
Let v = (9, 6, 6) and w = (-1, -3, 1) be ordered pairs in R^3. Find two scalars c1 and c2 such that c1 v + c2 w = (5, -6, 10).
c1 =
c2 =
Answers
The scalars are c1 = 1/9 and c2 = -4/5. So, 1/9v - 4/5w = (5, -6, 10).
We are given two ordered pairs: v = (9, 6, 6) and w = (-1, -3, 1) in R3. We need to find two scalars c1 and c2 such that c1v + c2w = (5, -6, 10).
Let c1 and c2 be the scalars we seek. We can write the equation as a system of linear equations:
9c1 - c2 = 5
6c1 - 3c2 = -6
6c1 + c2 = 10
We can solve this system of equations using any method we choose. For simplicity, we will use Gaussian elimination to solve for c1 and c2.
R2 = R2 + 2R1:
9c1 - c2 = 5
0c1 - 5c2 = 4
R3 = R3 - R1:
9c1 - c2 = 5
0c1 - 5c2 = 4
-3c1 + 2c2 = 4
R1 = R1 - (9/5)R2:
9c1 - c2 = 1
0c1 - 5c2 = 4
-3c1 + 2c2 = 4
R3 = R3 + (3/5)R2:
9c1 - c2 = 1
0c1 - 5c2 = 4
0c1 - 1c2 = 14/5
R1 = R1 + c2R3:
9c1 = (1) + c2(14/5)
0c1 - 5c2 = 4
0c1 - 1c2 = 14/5
Solving the last two equations:
c2 = -4/5
c1 = (1 + c2(14/5))/9 = 1/9
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Let f ( x ) = x 2 − 2 x f ( x ) = x 2 - 2 x . Round all answers to 2 decimal places. a . a . Find the slope of the secant line joining ( 2 , f ( 2 ) ( 2 , f ( 2 ) and ( 8 , f ( 8 ) ) ( 8 , f ( 8 ) ) .
Answers
Answer:
The slope of the secant line joining (2, 0) and (8, 48) is 8.
Step-by-step explanation:
Let \(f(x) = x^{2}-2\cdot x\), from Analytical Geometry we remember that slope of a secant line is defined by:
\(m_{sec} = \frac{f(x_{B})-f(x_{A})}{x_{B}-x_{A}}\) (Eq. 1)
Where:
\(x_{A}\), \(x_{B}\) - Initial and final independent variables, dimensionless.
\(f(x_{A})\), \(f(x_{B})\) - Initial and final dependent variables, dimensionless.
Now we proceed to find the values of each dependent variable:
\(x_{A} = 2\)
\(f(x_{A}) = 2^{2}-2\cdot (2)\)
\(f(x_{A}) = 0\)
\(x_{B} = 8\)
\(f(x_{B}) = 8^{2}-2\cdot (8)\)
\(f(x_{B}) = 48\)
And slope of the secant slope is determined after replacing every variable:
\(m_{sec} = \frac{48-0}{8-2}\)
\(m_{sec} = 8\)
The slope of the secant line joining (2, 0) and (8, 48) is 8.
HELP!!!!i will give BRAINLIEST
Answers
Answer:
2.9
Step-by-step explanation:
2 9/10 as an improper fraction is 29/10
29/10 as a decimal is 2.9
Answer:
2.9
Step-by-step explanation:
Math. Pls give brainliest:)!
The average of 3 numbers is 8. If two of the numbers are 5 and 9, what is the other number?
Answers
Answer:
10
Step-by-step explanation:
Let the third number = x
(5+9+x) / 3 =8
x=10
How many more monthly payments are there in a 9 year term compared to a 5 year term?
Answers
Answer: 48 more monthly payments
Step-by-step explanation:
mental math again 60x40x2
Answers
Answer:
the answer is 4800
Answer:
What is mental math?
Mental math is definitely what it sounds like—doing math in your head. But it’s also more nuanced than that. Being good at mental math tricks doesn’t mean that you’re able to solve 8974387 x 396 in your head instantly; while cool, that wouldn’t be very practical for daily life. So what does mental math mean?
It really just means being able to calculate in your head. It doesn’t mean you can solve every type of problem every time, nor is it a skill that you either “have” or “don’t have”; it’s a skill that you can learn, practice, and improve so that you can solve a bigger range of problems. And mental math certainly doesn’t have to be entirely in your head, either. Jotting down the numbers you need to remember to give you a head start (no pun intended), or writing down your solutions at each “step,” does not negate the “mental”-ness of the math.
Is mental math useful?
Ask this question again next time you’re trying to figure out a tip or doing any kind of construction or home improvement project! And, in addition to handy practical uses, knowing how to do mental math can also just keep your brain sharp and curb your reliance on calculators. Because, come on, doesn’t it feel good to reach for a calculator only to realize, “Wait, I don’t need it!” and figure out the answer in your head? (Spoiler: It does!) Not to mention knowing how to mentally solve small, simple math problems can save you some steps and help you out if you do need to solve a more complicated, difficult problem. There are always going to be some math problems that it would be silly to not solve with a calculator, but, yes, mental math is useful. And if you’re wondering if math itself is useful, math lessons you’ll actually use in real life.
Step-by-step explanation:
What is the x value of -6+x=-2
Answers
add +6 to both sides cuz it’s the inverse operation
so x=4
Answer:
x=4
Step-by-step explanation:
add 6 to both sides and you get 0+x=4
Select all simplified expressions of 3^4 ÷ 3^9.
3^13
3^5
1/243
1/3^5
1^5
Answers
Explanation
Subtract the exponents
Since the exponent is negative
It stays in the bottom hence why the one is added
b. Let f:x=3x² +1 and g: x=x-5
Find
i. fog(x)
ii. go f(x)
iii. (ƒ o g)−¹(x)
Answers
i. To find fog(x), we need to first apply g to x and then apply f to the result.
g(x) = x - 5
So,
fog(x) = f(g(x)) = f(x - 5)
= 3(x - 5)² + 1
= 3(x² - 10x + 25) + 1
= 3x² - 30x + 76
Therefore, fog(x) = 3x² - 30x + 76.
ii. To find gof(x), we need to first apply f to x and then apply g to the result.
f(x) = 3x² + 1
So,
gof(x) = g(f(x)) = g(3x² + 1)
= 3x² + 1 - 5
= 3x² - 4
Therefore, gof(x) = 3x² - 4.
iii. We want to find the inverse of the composite function f o g.
Let y = fog(x) = f(g(x)) = f(x - 5) = 3(x - 5)² + 1
To find the inverse of f o g, we need to solve for x in terms of y.
3(x - 5)² + 1 = y
3(x - 5)² = y - 1
(x - 5)² = (y - 1) / 3
x - 5 = ±√((y - 1) / 3)
x = 5 ±√((y - 1) / 3)
Therefore, the inverse of f o g is:
(ƒ o g)−¹(x) = 5 ±√((x - 1) / 3)
DIC A student has a total of $3000 in student loans that will be paid with a 48-month installment loan with monthly payments of $73.94. Determine the APR of the loan to the nearest one-half of a percent
Answers
Answer:
The APR of the loan was 18.30%.
Step-by-step explanation:
Given that a student has a total of $ 3000 in student loans that will be paid with a 48-month installment loan with monthly payments of $ 73.94, to determine the APR of the loan to the nearest one-half of a percent the following calculation must be done:
3,000 = 100
(73.94 x 48) = X
3,000 = 100
3,549.12 = X
3,549.12 x 100 / 3,000 = X
354,912 / 3000 = X
118.30 = X
118.30 - 100 = 18.30
Therefore, the APR of the loan was 18.30%.
Robert had 2 2/5 cups of chocolate syrup left in his freezer he used 1/4 cup of Chocolate syrup when he makes a milkshake what is the maximum number of milkshakes that Robert can make with the chocolate syrup
Answers
Robert can make a maximum of 8 milkshakes with the remaining chocolate syrup.
How to find the maximum number of milkshakes that Robert can make with the chocolate syrupConverting the mixed number 2 2/5 to an improper fraction: 2 2/5 = 12/5
Subtracting the amount of chocolate syrup used per milkshake from the total amount of chocolate syrup:
12/5 - 1/4 = (48 - 5) / 20 = 43/20
Therefore, Robert has 43/20 cups of chocolate syrup left, which is the maximum amount he can use to make milkshakes.
For maximum number of milkshakes:
(43/20) / (1/4) = (43/20) x (4/1) = 172/20 = 8.6
Since Robert cannot make a fraction of a milkshake, he can make a maximum of 8 milkshakes with the remaining chocolate syrup.
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suppose that prices of a gallon of milk at various stores in one town have a mean of $3.55 with a standard deviation of $0.14 . using chebyshev's theorem, what is the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83 ? round your answer to one decimal place.
Answers
Therefore, the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83 is 75%, rounded to one decimal place.
What is standard deviation?Standard deviation is a measure of the amount of variation or dispersion in a set of data values. It measures how spread out the data is from the mean or average value. A low standard deviation indicates that the data is closely clustered around the mean, while a high standard deviation indicates that the data is more spread out. It is calculated as the square root of the variance, which is the average of the squared differences from the mean.
Here,
Chebyshev's theorem states that for any dataset, regardless of its distribution, at least 1 - 1/k² of the data will fall within k standard deviations of the mean, where k is any positive number greater than 1. To find the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83, we can first find how many standard deviations away from the mean these prices are:
$3.27 is (3.27 - 3.55)/0.14 = -2 standard deviations from the mean
$3.83 is (3.83 - 3.55)/0.14 = 2 standard deviations from the mean
Thus, the distance between $3.27 and $3.83 is 4 standard deviations (2 in each direction).
Using Chebyshev's theorem with k = 2 (since we want to know the minimum percentage within 2 standard deviations), we have:
=1 - 1/2²
= 1 - 1/4
= 0.75
This means that at least 75% of stores sell a gallon of milk for between $3.27 and $3.83.
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What’s 9+10. I really need to know.
Answers
Answer:
Step-by-step explanation:
Trust me - 19
Answer:
Lollll unless this isn't a joke it's 19, if it is a joke then it's 21
(a) Find and identify the traces of the quadric surface x2 + y2 − z2 = 81 given the plane. x = k Find the trace.
Answers
Answer:
Hyperbola
Step-by-step explanation:
Consider \(x=k.\)
Substitute \(x=k\) in given equation \(x^2+y^2-z^2=81\)
\(k^2+y^2-z^2=81\)
\(\Rightarrow y^2-z^2=9^2-k^2\)
\(\Rightarrow y^2-z^2=(9-k)(9+k)\)
Here, different orientation for \(-9<k<9\) then \(-9<k\) or \(k<9.\)
Hence, the surface equation represents a trace of the hyperbola.
Scott bought 6 shirts that each cost the same amount. Before sales tax was added, his total bill was $80.94. How much did each shirt cost
Answers
Answer:$13.49
Step-by-step explanation:
$80.94 / 6 = $13.49
The ratio of people who have dogs to people who have cats is 4 to 2. If there are 40 people, how many have cats?
Answers
Answer:
13 people
Step-by-step explanation:
let ratio be 4x and 2x
4x+2x=40
6x=40
x=40/6
x=6.66
so,
2x=2×6.66
=13.33
approx 13
again
4x=4×6.66
=26.64
approx 27.
Is -1.5 a positive number
Answers
Answer: no 1.5 in this cawe is a neg number which is why they put a negative sign in the front
A new refrigerator costs $1500. The value of the refrigerator will decrease 40% each year. Use x to represent the time in years.
Use y to represent the value of the refrigerator.
Write an equation to represent this relationship.
Answers
The equation to represent this relationship is y = 1500(0.6)^x
How to determine the equation to represent this relationship.From the question, we have the following parameters that can be used in our computation:
Initial, a = 1500
Rate = 40%
Since the value of the refrigerator decreases by 40% each year, the value of the refrigerator after x years can be expressed as:
y = 1500(1 - 40%)^x
Evaluate the difference
y = 1500(0.6)^x
Hence, the expression is y = 1500(0.6)^x
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Determine the slope m of each line in its most reduced form
Answers
Answer:
5/3 1/3 4/3
Step-by-step explanation:
PLSS NOBODY WILL HELP ME LATLY PLSS JUST HELP!
Answers
Step-by-step explanation:
oh, that was hard to read.
this is
6 ÷ 1/2
a division always finds out how often the right side fits into the left side.
and for this answer D fits best :
Greg wants to divide 6 pounds of grapes into 1/2 pounds bags.
remember, dividing by a fraction is the same as multiplying the upside-down fraction :
6 ÷ 1/2 = 6 × 2/1 = 12/1 = 12
yes, can divide the 6 pounds into 12 half-pound bags.
Is this correct or not?
If not please provide correct answer
Answers
Answer:
It is correct please I do not want yo sound rude can you give me brainliest answer.
Answer:
correct steps
Step-by-step explanation:
if asked to find angles in terms of the ratios, then don't forget to shift sin / cos / tan across the equal sign and change it to arc sin / cos / tan.
multiply (d + 4) (d - 4)
Answers
Answer:
\(d^{2}\) - 16.
Step-by-step explanation:
To solve for the product of (d + 4) and (d - 4), we can use the FOIL method.
What does 'FOIL' Stand for?First Outer Inner LastThis means we multiply the first terms, then the outer, then the inner, and finally the last terms, then we add all the products together.
So, (d + 4) (d - 4) can be expanded like this:
First: d × d = \(d^{2}\) Outer: d × -4 = -4d Inner: 4 × d = 4d Last: 4 × -4 = -16Adding all of them together, we get: \(d^{2}\) - 4d + 4d - 16, which simplifies to \(d^{2}\) - 16.
Therefore, (d + 4)(d - 4) = \(d^{2}\) - 16.
Terry is the school swimming champion and has won several races. If the ratio of the number of times he's won to the number of races he has swum in is 2 : 3, how many races has he won?
Answers
The given information tells us that Terry's wins-to-races ratio is 2:3, but we cannot determine the exact number of races he has won without additional information about the total number of races he has participated in.
If the ratio of the number of times Terry has won to the number of races he has swum in is 2:3, we can set up a proportion to determine the number of races he has won.
Let's denote the number of times Terry has won as x, and the total number of races he has swum in as y. According to the given ratio, we have:
x/y = 2/3
To find the value of x, we need to solve for x when y is known. Since y represents the total number of races, we don't have that information in the given problem. Therefore, we cannot determine the exact number of races Terry has won without knowing the total number of races he has participated in.
The ratio tells us the relationship between the number of wins and the total number of races, but without knowing the denominator (total races), we cannot find a specific value for the numerator (number of wins). We can only determine the ratio between the two quantities.
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Wendy is making potato salad for a picnic. One sack of potatoes weighs 14 pounds.What is the weight of a sack of potatoes in ounces
Answers
Answer:
224 ounces
Step-by-step explanation:
1 pound is 16 ounces, 14 multiplied by 16 is 224
every pound equal 16 ounces so 14 × 16 = 224
On Tuesday morning a school cafeteria served 16 gallons of orange juice during breakfast.
How many cups are in 16 gallons?
256 cups
64 cups
2,048 cups
128 cups
Answers
Answer:256
Step-by-step explanation: 16 in 1g. 16 times 16=256
Simplify.
57x+27y−2−17x+7
67x+27y−5
47x+27y+5
67xy+5
I don't know.
Answers
Answer 40x + 27 y + 5
Put it at the top for people who have to watch the video it peaks through the top lol.
Step-by-step explanation:
4/7x+2/7y+5 Is the answer
I did the quiz and got 100%
I hope this helps you guys
(1.) Find the equation of the line passing through the points (-4,-6 ) and (-5,5).
(2.) Find the equation of the line with slope -8 that passes through the point (3, -8).
Answers
Answer:
1) y=-11x-50 2)y=-8x+16
Step-by-step explanation:
1. y=mx+b- it is the main equation for a line'
If we take the first point and use its coordinates we have -6=-4m+b
If we take the second point and use its coordinates we have 5=5m+b
These equations are simultaneous for our line because the line passes through both points
-6=-4m+b
5=-5m+b
If subtract the second one from the first equation
-6-5= -4m+b- (-5m+b)
-11= m
b= -6-44=-50
y=-11x-50
2) y=mx+b
-8=-8*3+b
b=16
y=-8x+16
What is the answer
1/3x+y=4
Y=
Answers
Answer:
\({ \tt{ \frac{1}{3} x + y = 4}} \\ \\ → \: { \tt{y = 4 - \frac{1}{3} x}}\)