Answer:
36
Step-by-step explanation:
There would be three on each edge. (Five, minus the two ends that have 3 sides painted.)
A cube has 12 edges.
12x3=36
If m(2x−3)+n(x+1)=5x for all real numbers x, where m and n are constants, what is the value of m?
Answer:
m = 1
Step-by-step explanation:
From the question given,
m(2x − 3) + n(x + 1) = 5x for all real numbers x.
Since x is a real number, we can obtain the value of m as follow:
Let x = 1
m(2x − 3) + n(x + 1) = 5x
m(2×1 − 3) + n(1 + 1) = 5×1
m(2 – 3) + n(2) = 5
m(– 1) + n(2) = 5
– m + 2n = 5 ...... (1)
Let x = 2
m(2x − 3) + n(x + 1) = 5x
m(2×2 − 3) + n(2 + 1) = 5×2
m(4 – 3) + n(3) = 10
m(1) + n(3) = 10
m + 3n = 10 ...... (2)
– m + 2n = 5 ...... (1)
m + 3n = 10 ...... (2)
Solve by elimination method
Add equation 1 and 2
– m + 2n = 5
+ (m + 3n = 10)
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
5n = 15
Divide both side by 5
n = 15/5
n = 3
Substitute the value of n into any of the equation to obtain the value of m. Here, we shall substitute n into equation 2.
m + 3n = 10
m + 3(3) = 10
m + 9 = 10
Collect like terms
m = 10 – 9
m = 1
Therefore, the value of m is 1
A fortnight is 1/26 of a year. What part of a year is 8 fortnights?
Answer:
Isn’t it just 8/26
Step-by-step explanation:
Since 1 is 1/26 so 8 is just 8/26?
The part of a year is 8 fortnights is ( 8 / 26 ).
What is multiplication?Multiplication is the process of determining the product of two or more numbers in mathematics.
It is given that a fortnight is 1/26 of a year. The part of the year for 8 fortnights is calculated as:-
⇒ 8 x ( 1 / 26 )
⇒( 8 / 26 )
Therefore, the part of a year is 8 fortnights is ( 8 / 26 ).
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Four representations of the same data are shown below. Verbal Description Shay pays a $4 monthly fee in addition to the data and minutes charges on her cell phone bill, x. Equation y = x + 4 Table A 2-column table with 3 rows. Column 1 is labeled x with entries 30 dollars, 40 dollars, 50 dollars. Column 2 is labeled y with entries 34 dollars, 44 dollars, 54 dollars. Graph Cell Phone Bill A graph with data/minutes charges on the x-axis and total bill on the y-axis. A line goes through points (0, 4) and (3, 7). Which two representations are considered to be only partial representations? the equation and the verbal description the verbal description and the graph the table and the equation the graph and the table
The table is a partial representation as we only see three data points. This is a limited view. Because of this, the answer is between C and D. However, we can rule out choice C as the equation will give us the complete view of what's going on. We can plug in any x value we want to find the corresponding y value (keep in mind that x and y can't be negative though). So that means the graph is a partial representation. This is true if the line segment doesn't extend forever upward. If we had a line segment through the endpoints (0,4) and (3,7), and it stopped at (3,7), then this is a limited view. It does not show what the bill would be if x were say x = 5.
Round 18.049 to the nearest tenth.
Answer:
18.0
Step-by-step explanation:
Note the tenth place value (underlined and bolded): 18.049
Look at the number to the direct right of the tenth place value (or the hundredth place value in this case). It is a 4.
Note the rules of rounding. If the number:
1) is 5 or greater, round up.
2) is 4 or less, round down.
In this case, it is 4, so you will round down.
18.049 rounded to the nearest tenth is 18.0
~
Answer:
18.0
Step-by-step explanation:
first time i put 18 and it was wrong so
Name four fractions between 5/6 and 7/8
Answer:
101/120, 102/120, 103/120, and 104/120.
Step-by-step explanation:
First find the LCM of 6 and 8:24
So the two given fractions are 20/24, and 21/24
Since the the fractions will become decimals with the denominator 24, choose another denominator: 48
So the two given fractions are 40/48 and 42/48.
Even this denominator isn't possible so continue with different denominators.
As I notice, that each multiple increases by 1...
20-21, 40-42, 60-63, 80-84, and 100-105.
100-105 is the only numerator that has 4 numbers in-between so, the four fractions between 5/6 and 7/8 are: 101/120, 102/120, 103/120, and 104/120.
And the 2 given fractions are 100/120 and 105/120.
I hope this helps and plz mark me brainliest!!
The fractions between 5/6 and 7/8 are 6/7, 13/15, 11/13, and 17/20.
What is a fraction?A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator, and denominator.
For the given situation,
The fractions are 5/6 and 7/8.
The fractions between any two fractions can be obtained by adding them without considering the denominator.
Fraction 1:
[tex]\frac{5+7}{6+8}=\frac{12}{14}[/tex]
⇒ [tex]\frac{6}{7}\\[/tex]
Fraction 2:
[tex]\frac{6+7}{7+8} = \frac{13}{15}[/tex]
Fraction 3:
[tex]\frac{5+6}{6+7} = \frac{11}{13}[/tex]
Fraction 4:
[tex]\frac{6+11}{7+13}=\frac{17}{20}[/tex]
Hence we can conclude that the fractions between 5/6 and 7/8 are 6/7, 13/15, 11/13, and 17/20.
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Julie started to solve the exponential expression (-2).
(-2)3 = -2 -2 -2 - ?
Which of these explains why Julie gets a negative number for her final answer?
The base -2 is a negative number.
The exponent 3 is an odd number.
The exponent 3 is a positive number.
The base - 2 is an even number.
Answer:
just did this on a test and it was
The exponent 3 is an odd number.
Step-by-step explanation:
Hince the statements which justify it:
The base -2 is a negative number.
The exponent 3 is an odd number.
Julie gets a negative number for her final answer when solving the expression (-2)³ = -2 x -2 x -2
Because the base, -2, is a negative number.
When an odd number of negative numbers are multiplied together, the result is always negative.
In this case, there are three negative numbers (-2 x -2 x -2),
Which is an odd number, resulting in a negative answer.
However, since the base is negative, the result will always be negative for any odd exponent.
Therefore, the negativity of the base and the odd value of the exponent together lead to a negative final answer.
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Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at 0.5 and is pointing to the left.
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at 0.5 and is pointing to the right.
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at negative 0.5 and a bold line starts at negative 0.5 and is pointing to the left.
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at negative 0.5 and a bold line starts at negative 0.5 and is pointing to the right.
Answer:
A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at negative 0.5 and is pointing to the left.
Step-by-step explanation:
Required
[tex]2x - 6 \geq 6(x - 2) + 8[/tex]
Required
Determine the number line
[tex]2x - 6 \geq 6(x - 2) + 8[/tex]
Open the bracket
[tex]2x - 6 \geq 6*x - 6*2 + 8[/tex]
[tex]2x - 6 \geq 6x - 12 + 8[/tex]
[tex]2x - 6 \geq 6x - 4[/tex]
Collect Like Terms
[tex]2x - 6x \geq 6 - 4[/tex]
[tex]- 4x \geq 2[/tex]
Divide both sides by -4
[tex]\frac{- 4x}{-4} \geq \frac{2}{-4}[/tex]
[tex]x \leq -0.5[/tex]
From the list of given options, the correct answer is option C
Answer:
b
Step-by-step explanation:
find the total surface area of this square based pyramid
Answer:
300 ft²
Step-by-step explanation:
Surface area= area of base + 4*area of triangle
a= 10 ft
h= 10 ft
Surface area:
10*10+ 4*1/2*10*10= 300 ft²Simplify.
sin x cot x
Use algebra and the fundamental trigonometric identities. Your answer should be a number or use a single trigonometric function.
(please help, no idea how to solve this problem)
Answer:
cos x
Step-by-step explanation:
sin x = (sin x) / (1) and cot x = (cos x) / (sin x)
Put those fractions next to each other and multiply them out (numerator times numerator, denominator times denominator).
Cancel out the (sin x) in the numerator and denominator
You should be left with just (cos x) / (1), whoch equals just (cos x).
Hope this helps!
Savannah is currently one more than twice the age of her cat, Selena Gomez. In thirteen years, Savannah will be 1.5 times as old as Selena. What is Savannah's current age?
Answer:
23 years old
Step-by-step explanation:
Savannah's age = x
Selena's age = y
Right now, x = 2y + 1
In 13 years, x = 1.5y
Here, we must use simultaneous equations to work it out.
x = 2y + 1
x + 13 = 1.5 x (y + 13) --> x + 13 = 1.5y + 1.5 x 13 --> x + 13 = 1.5y + 19.5
x + 13 = 1.5y + 19.5
- 13
x = 1.5y + 6.5
x = 1.5y + 6.5 = 2y + 1
1.5y + 6.5 = 2y + 1
- 1
1.5y + 5.5 = 2y
- 1.5y
5.5 = 0.5y
x 2
11 = y
We know that y = 11
Savannah is currently twice her cat's age plus 1, so...
11 x 2 + 1 = 22 + 1 = 23 years old
Hope this helps!
P.S. If the cat lives 13 more years after this, it will be a very old cat lol :)
help me with these thanks
A tailor cuts off a 2-meter long section from a 20-meter long piece of cloth every day. After how many days will he cut off the last section?
Answer: 10 days
Step-by-step explanation:
20/2 = 10
Answer18
Step-by-step explanation:
What is 0.75 as a fraction?
Answer:
3/4
Step-by-step explanation:
We would like to find what 0.75 is as a fraction.
Remember that since there are two digits past the decimal point, the denominator will 100.
So, the numerator is 75 and the denominator is 100. We now have:
75/100
We would like to simplify this. Notice that the top and bottom (75 and 100) are both divisible by 25. So divide both by 25:
75 / 25 = 3
100 / 25 = 4
The answer is thus 3/4.
~ an aesthetics lover
5.
A leaky faucet is losing water and is filling a 7-gallon bucket every 21 hours. At that rate, how many
gallons of water will the faucet leak in 30 hours?
(2-Point Holistic Rubric)
Show your work.
Answer:
10 gallons.
Step-by-step explanation:
A leaky faucet is losing water and;
filling a 7-gallon bucket every 21 hrs.
So 7 gallons of water are leaked in 21 hrs
We are to find the number of gallons that will be leaked in 30 hrs.
Cross-multiplying this gives;
[tex]\frac{30 * 7}{21}[/tex] = 10 gallons.
what fraction is equal to 75% of 1/3 ? PLZ TELL MEH PPL IM DUMB IKKKKK
Answer:
0.25 or 1/4
Step-by-step explanation:
1/3 * 75/100 = 75/300 = 1/4 = 0.25
[tex]75\%\cdot\dfrac{1}{3}=\dfrac{3}{4}\cdot\dfrac{1}{3}=\dfrac{1}{4}[/tex]
If two 4-sided dice were rolled, what
would be the probability of getting double
2s? Write your answer as a fraction.
Answer:
It’ll be a 1/8 chance
Step-by-step explanation:
Uh pretty much, if you were to roll one of those 4 sides die it’ll be a 1/4 of being a 2 in which it was. If you were to roll it again it’ll be another 1/4 chance but back to back it’ll be a 1/8 chance
In the triangles, TR = GE and SR = FE.
Triangles S T R and F G E are shown. Angle S R T is 56 degrees. Angle F E G is 42 degrees. Sides T R and G E are congruent. Sides S R and F E are congruent.
if Line segment G F = 3.2 ft, which is a possible measure of Line segment T S?
Answer:
3.2 ft
Step-by-step explanation:
the only thing you need to know is that congruent means that all the side and the same and the shape can be flipped and still look the same so the measure of the line segment is 3.2ft
Answer:
3.2 ft
Step-by-step explanation:
The answer above is correct.
I am confused on this: "Find the area of a square with a perimeter of 20 inches"
Answer:
25 square inches
Step-by-step explanation:
A square has 4 congruent sides.
By knowing the perimeter of a square, you can find the length of a side.
perimeter = 4 * side
20 in. = 4s
s = 20 in./4
s = 5 in.
A side of this square measures 5 in.
Now we use the area formula to find the area of the square.
area = (side)^2
area = (5 in.)^2
area = 25 in.^2
Answer:
The area will be 25 inches.
Step-by-step explanation:
Hi! So, this might be a pretty easy question for some people, but I can see how it might be confusing.
If you want to find the area of a square, which has four equal sides, it's pretty easy. You just need to know the length of one side instead of two different lengths, because both are equal!
The question gives you the perimeter, which is 20 inches. To get the perimeter of something, like this square, you add up all the sides. All you have to do to find the length of one side is divide the total sum of the sides, 20 (perimeter!) by the number of sides you have, four!
Note: This won't work with things like rectangles. You can only do things like this with squares, because you know ahead of time that all of the sides will be equal.
So! 20 divided by the number of sides, 4, is five!
Know we know all we need to be able to find the area of the square. To find the area, all you have to do is multiply the length of the square (5) by the width of the square (also 5!) That's 25, which is the area of your mystery square.
Hope you understand and this helps!
help can somewon help me
Answer:
504 in³
Step-by-step explanation:
The volume of the overall outside dimensions is their product:
Voverall = (12 in)(8 in)(6 in) = 576 in³
The volume of the "slot" is the product of its dimensions:
Vslot = (6 in)(6 in)(2 in) = 72 in³
Then the volume of the figure shown is ...
Vfigure = Voverall -Vslot = 576 in³ -72 in³ = 504 in³
Answer:
504 inches cubed
Step-by-step explanation:
The area missing is 6*6*2=72
The whole area is 576
subtract the two and get 504
since we are talk about volume it is 50 inches cubed
Sue's ice cream has 6 more scoopsthan Tessa's ice cream cone.
Sue's ice cream cone has 9 scoops.
How many scoops are on Tessa's ice cream cone?
Answer:
Tessa has 3 ice-cream scoops
Step-by-step explanation:
Annabelle works in a department store selling clothing. She makes a guaranteed
salary of $500 per week, but is paid a commision on top of her base salary equal to
30% of her total sales for the week. How much would Annabelle make in a week in
which she made $2400 in sales? How much would Annabelle make in a week if she
made x dollars in sales?
Earnings when selling $2400:
Earnings when selling $x:
Answer:
No 1 would be 500 + 2400*30/100 = 500 + 720 = 1220
No 2 would be 500 + x*30/100
Step-by-step explanation:
Answer:
$1200 and 500+ .3x
Step-by-step explanation:
Use this equation: 500+ .3x and insert in 1200.
Made equation by taking garented amount, $500, and have that be added. Sense you get 30 percent of of x (the amount of sales), have x be multiplied by .3 to get 30 percent.
If you're good at bearings pls help meeeeee
Pls show full working out ty
Answer:
201
Step-by-step explanation:
use the law of sines
sine B / b = sine C / c
sine 75 / 19.6 = sine C / 12.5
inv sine C = ( sine 75 * 12.5 ) / 19.6
C = 38
the bearing C = 180 + 59 - 38 = 201
How many of the positive integer factors of 15552 are perfect squares?
Please show work, will mark brainliest if correct
Answer: 9 integers factors
Step-by-step explanation:
Let's first find the factor of 15552
15552 / 2 = 7776
7776 / 2 = 3888
3888 / 2 = 1944
1944 / 2 = 972
972 / 2 = 486
486 / 2 = 243
273 / 3 = 81
81 / 3 = 27
27 / 3 = 9
9 / 3 = 3
3 / 3 = 1
Some of the factors of 15552 are:
2×2×2×2×2×2×3×3×3×3×3
4×4×4×9×9×3
4^2 × 9^2 × 4 × 3
The factor that are perfect square are:
4, 9, 16, 36, 64, 81, 144, 576, 1296
Therefore, 9 of the positive integer factors of 15552 are perfect squares.
A line plot has a range of 4, from 1 to 5, with 5 modes. How would you describe the graph?
The graph has an outlier.
The data is clustered around 3.
Each column will be the same height.
There is not enough information.
will give brainliest
Answer:
Each column will be the same height.
Step-by-step explanation:
Mode refers to the most occurring number, and there are five within a data set that is 4 wide, so there will be 5 columns of equal length.
Half of what?= 32 1/2
Half of the number 65 is [tex]32\frac{1}{2}[/tex].
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given fraction is [tex]32\frac{1}{2}[/tex].
Let x be unknown number.
Then, the equation is
1/2 of x=[tex]32\frac{1}{2}[/tex]
x/2 =32.5
x=65
Therefore, half of the number 65 is [tex]32\frac{1}{2}[/tex].
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what is the domain of the function shown in the graph below?
answer type: interval, all real numbers, all values except one, all values except two
interval:
Answer:
All numbers except 1
Step-by-step explanation:
The graph has an asymptote at 1.
So the function will grow toward but without reaching it.
The equation of the asymptote is x=1
So the domain is all real numbers except 1.
w is greater than -1 and less than or equal to 4
Use a only once in your inequality.
Answer:
-1 + w ≤ 4
Step-by-step explanation:
w is greater than -1 = -1 + w
Less than or equal to 4 = (anything less than or equal to 4)≤4
Answer:
[tex]-1<w\leq 4[/tex]
This shows that w is greater than -1 and less than or equal to 4
, through an inequality.
This is the greater than symbol: <
This is the less than or equal to symbol: [tex]\leq[/tex]
Hope that helped!!!
help me find VW and YZ
Answer:
VW=35
YZ=50
Step-by-step explanation:
As they are similar triangles with a ratio of 1:2 and we know VW:XZ=1:2, we can make the equation:
2(4y+7)=12y-14
8y+14=12y-14
4y=28
y=7
So, VW=4(7)+7=35.
Similarly, you can find YZ through VT:
2(7x-17)=8x+2
14x-34=8x+2
6x=36
x=6
Therefore, YZ=8(6)+2=50.
a grandfather purchased a brand new car in 1958 for $2500.the car depreciated $325 a year. what would the car be worth 4 years after it was bought?
Answer:
The car would be worth 1200.
Step-by-step explanation:
Okay, the way to solve this type of question is quite simple,
you would start with the amount is lost per year being $325 a year, then multiply that by the 4 years grandpa waited and then subtract the overall amount lost in worth of the car from the original price and you got your answer.
The math: 2500-(325*4)=1200
Mr. Brust tried to simplify the following but made a really common mistake in the problem. Identify the mistake, then show the correct solution. 8 + 2(3p + 1) = 10(3 p +1) = 30p +10
Answer:
The correct answer is 10+6p
Step-by-step explanation:
The mistake is that for the first step instead of distributing 2 to 3p and 1 they added 8+2 first. your actually supposed to distribute and get, 8+6p+2, then combine like terms and get 10+6p
Answer:
Mistake: He added 8 to the 2 that you needed to multiply to the 3p and 1 inside the parentheses.
Correct solution: 10 + 6p
Step-by-step explanation:
8 + 2(3p + 1) =
8 + 6p + 2 =
10 + 6p
Hope that helps and maybe earns a brainliest!
Have a fantastic day! :)
