multiply the sum of 7/8 and 3/4 by the differences of 5/36 from 11/13
Answer:
[tex]=-\frac{331}{288}=-1.14930\dots[/tex]
Step-by-step explanation:
[tex](\frac{7}{8} + \frac{3}{4} )\times (\frac{5}{36} - \frac{11}{13} )\\\\\mathrm{Join}\:\frac{7}{8}+\frac{3}{4}:\quad \frac{13}{8}\\\\=\frac{13}{8}\left(\frac{5}{36}-\frac{11}{13}\right)\\\\\mathrm{Join}\:\frac{5}{36}-\frac{11}{13}:\quad -\frac{331}{468}\\\\=\frac{13}{8}\left(-\frac{331}{468}\right)\\\\=-\frac{13}{8}\times\frac{331}{468}\\\\\mathrm{Cross-cancel\:common\:factor:}\:13\\=\frac{1}{8}\times\frac{331}{36}\\\\=-\frac{1\cdot \:331}{8\times\:36}\\\\=-\frac{331}{288}[/tex]
Composition of functions
Andrew, Marco, and Kenjo are going to
the movies. They want to sit together in
the same row. How many different seating
orders are possible?
Answer:
There are 6 seating orders possible.
Step-by-step explanation:
1. Andrew, Marco, Kenjo
2. Marco, Kenjo, Andrew
3. Kenjo, Marco, Andrew
4. Kenjo, Andrew, Marco
5. Andrew, Kenjo, Marco
6. Marco, Andrew, Kenjo
In a trivia contest, players from teams and work together to earn as many points as possible for their team. Each team can have 3 and 5 players. Each play can score up to 10 points in each round of the game. Elena and four of her friends divided to form a team and play a round. Write an expression, an equation, or an inequality for each quantity described here. If you use a variable, specify what it represents
Answer:
The inequality for each quantity described is given as follows;
0 ≤ A + B + C + D + E ≤ 50
Step-by-step explanation:
The given information are;
The number of players each team can have = between 3 and 5
The maximum number of points a player can score in each round of the game = 10 points
The number of players in Elena's team = Elena + 4 = 5 players
The total number of points Elena's team earns at the end of the round is given as follows;
0 ≤ A + B + C + D + E ≤ 5 × 10
Where the variables A, B, C, D, and E are the points each of Elena and are makes such that the minimum points is 0 + 0 + 0 + 0 + 0 = 0 and the maximum point is 10 + 10 + 10 + 10 + 10 = 5 × 10 = 50, which gives;
0 ≤ A + B + C + D + E ≤ 50.
Rebecca Wilson was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 846 points. The number of two-point field goals that Rebecca made was 77 less than double the number of three-point field goals she made. The number of free throws (each worth one point) she made was 30 less than the number of two-point field goals she made. Find how many free throws, two-point field goals, and three-point field goals Rebecca Wilson made during the 2006 regular season.
Answer:
Number of two point goals = 169
Number of three point goals = 123
Number of free throws = 139
Step-by-step explanation:
Let the number of two point goals = [tex]x[/tex]
Let the number of three point goals = [tex]y[/tex]
Let the number of free throws = [tex]z[/tex]
As per the given statements:
[tex]x = 2y-77 ...... (1)[/tex]
[tex]z = x-30 ...... (2)[/tex]
Using equation (1):
[tex]z = 2y-107[/tex] ...... (3)
Total number of points from two point goals = [tex]2x[/tex]
Total number of points from three point goals = [tex]3y[/tex]
Total number of points from free throws = [tex]z[/tex]
[tex]2x+3y+z=846[/tex]
using (1) and (3):
[tex]2(2y-77)+3y+2y-107=846\\\Rightarrow 4y-154+5y-107=846\\\Rightarrow 9y-261=846\\\Rightarrow 9y=846+261\\\Rightarrow 9y=1107\\\Rightarrow y =123[/tex]
By (1):
[tex]x = 2\times 123-77 =169[/tex]
By (3):
[tex]z =2\times 123-107 = 139[/tex]
So, answers are:
Number of two point goals = 169
Number of three point goals = 123
Number of free throws = 139
From the observation deck of the lighthouse at Sasquatch Point 55 feet above the surface of Lake Ippizuti, a lifeguard spots a boat out on the lake sailing directly toward the light
house. The first sighting had a angle of depression of 8.1 and the second sighting had an angle of depression of 25.7°. How far had the boat traveled between the sightings?
Answer:
272.17 ft
Step-by-step explanation:
Since the angle of depression of the sighting equals the angle of elevation of the lighthouse from the boat, using trigonometric ratios,
tanθ = x/d where θ = angle of sighting, x = height of lighthouse =55 ft and d = distance of boat from lighthouse at sighting
So, d = x/tanθ
when θ = 8.1°, for the first sighting,
d₁ = 55/tan8.1 = 386.45 ft
when θ = 25.7°, for the second sighting,
d₂ = 55/tan8.1 = 114.28 ft
The distance the boat traveled between the two sightings is thus d₁ - d₂ = 386.45 ft - 114.28 ft = 272.17 ft
The function f(x) models the average cost per unit, f(x), for Electrostuff to manufacture x units of Electrogadget IV. How many units must the company produce to have an average cost per unit of ? Round to the nearest integer.
Complete question is;
The function f(x) = (25000 + 280x)/x models the average cost per unit, f(x), for Electrostuff to manufacture x units of Electrogadget IV. How many units must the company produce to have an average cost per unit of $390?
Answer:
227 units
Step-by-step explanation:
We are given the function;
f(x) = (25000 + 280x)/x
Where;
f(x) is the average cost per unit
x is the number of units
Now, we want to find out how many units the company must produce to have an average cost per unit of $390.
Thus, plugging $390 for f(x), we have;
390 = (25000 + 280x)/x
When we cross multiply, we get;
390x = 25000 + 280x
390x - 280x = 25000
110x = 25000
x = 25000/110
x ≈ 227
Complete the inequality below to describe the
domain of the graph shown.
Domain:
DONE
Complete the inequality below to describe the
range of the graph shown.
Range:
Sy <5
-5
or
DONE
Domain: [tex]-4 < x \le 4[/tex]
Range: [tex]-2 \le y < 5[/tex]
=======================================
Explanation:
The domain is the set of allowed x values.
The left-most point on this graph is at (-4,5). This means x > -4 or -4 < x. The open hole indicates we don't include x = -4 as part of the domain.
The right most point is at (4,-2). So [tex]x \le 4[/tex]
Combine [tex]-4 < x[/tex] and [tex]x \le 4[/tex] together to get the domain [tex]-4 < x \le 4[/tex]
----------------------
The range is the set of possible y values.
The range spans from -2 to 5, including -2 but excluding 5. This is because the smallest y value possible is y = -2, and the upper bound for the y values is y < 5 due to the open hole.
Therefore the range is the compound inequality [tex]-2 \le y < 5[/tex]
Answer: domain - -4
Range- -2
Step-by-step explanation:
Use PEMDAS to answer the following: 3(2x + 7)=
Answer:
Step-by-step explanation:
Use the Distributive Property to multiply.
3(2x + 7) = (3 x 2x) + (3 x 7)
(3 x 2x) + (3 x 7)
Solve.
3 x 2x = 6x
3 x 7 = 21
6x + 21
You cannot simplify this.
So the answer is 6x + 21.
I'm sorry if I misunderstood.
Good luck mate! :)
Please add Brainliest if you'd like, not that it matters.
Remember to try your best every day!
Will give brainliest -2u+6w=9 rearrange the equation so w is an independent variable. PLEASE HELP!
Answer:
[tex]\Large \boxed{w=\frac{2u+9}{6} }[/tex]
Step-by-step explanation:
[tex]-2u+6w=9[/tex]
Adding 2u to both sides.
[tex]6w=9+2u[/tex]
Dividing both sides by 6.
[tex]\displaystyle w=\frac{2u+9}{6}[/tex]
Answer:
So we have this equation:
[tex]-2u + 6w = 9[/tex]
And we need to rearrange it to make the w an independent variable.
That means we need to solve the equation for w:
[tex]-2u + 6w = 9[/tex]
First thing we need to do is passing the [tex]-2u[/tex] to the right summing:
[tex]6w = 9 + 2u[/tex]
Next, we can pass the 6 (which is multiplying the w) to the right dividing:
[tex]w = \frac{9+2u}{6}[/tex]
we can also write it as this:
[tex]w = \frac{9}{6}+\frac{2u}{6}=\frac{3}{2}+\frac{u}{3}[/tex]
-4(v+1) Polynomials Equation
Answer:
-4(v+1)
(-4 X v ) + -4 X 1
-4v + -4
it is your polynomial equation....
How many inches are in 8 feet?
Answer: 96
Step-by-step explanation:
Answer: 96 inches
Step-by-step explanation:
1 Feet=12 inches
--------------------------------
So.....
8 Feet= 12 × 8 inches
8 Feet= 96 inches
Hope this helps!! :)
Please let me know if you have any question
g(x)=x+2; find g (5)
g(x)=x+2
g(5)=?
now
g(5)=5+2
=7
Evaluate 4.1 + 6. 16 + 0.
a 27 piece of steel is cut into three pieces so that the second piece is twice as long as the first piece and the third piece is 3 inches more than three times the length of the first piece what's the length of the first piece
Answer:
4 in, 8 in, 15 in
Step-by-step explanation:
If x, y, z are the three pieces, then:
x + y + z = 27
y = 2x
z = 3 + 3x
Substitute the second and third equations into the first.
x + 2x + 3 + 3x = 27
6x + 3 = 27
6x = 24
x = 4
y = 8
z = 15
A plumber has a 20Foot piece of PVC pipe. How many nine over foot pieces can be cut from the 20 5 piece
Answer: 11
Step-by-step explanation: divide the total length of pvc pipe by the individual piece
In 2010 Sacramento received 23 inches in annual precipitation , in 2011 the city received 17 inches in anual percpation , in which year was there more precpition?
Answer:
There was more precipitation in the year 2010.
Step-by-step explanation:
Here in this question, we have the data for the amount of precipitation received in two different years in a city called Sacramento.
Now, we are tasked with finding in which of the two years was there more precipitation.
From the question, we can identify the following;
in 2010, precipitation was 23 inches
in 2011, precipitation was 17 inches
We can see that 23 inches is greater than 17 inches. So what this mean is that the precipitation in 2010 was more than the precipitation received in 2011.
Every negative integer J is less than or equal to its inverse
Answer:
Here we have the statement:
" Every negative integer J is less than or equal to its inverse"
First, remember that when we are talking about negative numbers, the ones that are closer to 0 are the larger ones.
For example, if we have -1 and -5
-1 is closer to zero, then:
-1 > -5
Now we have a negative integer J.
The smallest negative integer is -1
it's inverse is 1/-1 = -1
Then, if j = -1:
j = 1/j
-1 = 1/-1 = -1
and if j < -1 (-2, -3, -4, -5.......)
then for example, for j = -2
1/-2 = - (1/2)
and (-1/2) is a number between -1 and 0
So it is closer to zero than -2
then:
(-1/2) > -2.
Then, concludin, if IjI > 1, we have always that 0 > 1/j > -1 > j.
A length of rope is divided into two pieces in the ratio 2:5 If the longer
piece is 120 m, what is the length of the shorter piece? (SHOW WORKING)
Answer:
The answer is
34.3 mStep-by-step explanation:
To find the length of the shorter piece we must first find the total parts
That's
2 + 5 = 7
Looking at the ratio above we can see that 2 is the smaller part which makes it the shorter piece
Now divide 2 by the total parts and multiply by 120
That's
[tex] \frac{2}{7} \times 120 \\ = \frac{240}{7} \\ = 34.285714[/tex]
We have the final answer as
34.3 mHope this helps you
The element bromine turns into a liquid at 27°C, and it turns into a gas at 59°C From the temperature at which bromine becomes a liquid, by how many degrees must the temperature change for it to turn into a gas?
Answer:
32°C
Step-by-step explanation:
59°C - 27°C = 32°C
In another baseball division, one team had a winning percentage of 0.444 repeating What fraction of their games did this team win? Let x=0.4 repeating
Answer:
[tex]x = \frac{4}{9}[/tex]
Step-by-step explanation:
Given
Winning Percentage = 0.444 repeating
Required
Represent as a fraction
Represent the percentage with x
[tex]x = 0.444[/tex]
Convert to fraction
[tex]x = \frac{444}{1000}[/tex]
Next step, is to convert to fraction repeating
To do this, we simply subtract 1 from the denominator
[tex]x = \frac{444}{1000 - 1}[/tex]
[tex]x = \frac{444}{999}[/tex]
Simplify to the lowest term: Divide numerator and denominator by 37
[tex]x = \frac{444/37}{999/37}[/tex]
[tex]x = \frac{12}{27}[/tex]
Simplify to the lowest term: Divide numerator and denominator by 3
[tex]x = \frac{12/3}{27/3}[/tex]
[tex]x = \frac{4}{9}[/tex]
Hence;
There winning fraction is [tex]\frac{4}{9}[/tex]
i bought a house for 55,000 with a simple interest rate of 7% for 15 years.How much did she pay for her house?
Answer:
57,750
Step-by-step explanation:
you would take 7% of 55000 which is 3,850 and multiply that by 15 which is 57,750 and that is the final answer
A pine block has a mass of 11.31 grams and a density of 0.40 g/cm3 , what is the volume of this block?
Answer: 28.275cm^3
Step-by-step explanation: The density equation is mass/volume, and you can rearrange the equation to figure out what the volume is. By rearanging the equation, you get that volume= mass/ density. So 11.31/0.40=28.275cm^3
How many sets of distinct odd positive integers have a sum of 16?
Answer:
Answer:
I think its 4
Step-by-step explanation:
hope this helps
easy 10 points and brainliest!
Answer:
Quadrant II
Step-by-step explanation:
Since x < 0 and y > 0, that means the point (x,y) is located to the left and up from the origin, meaning quadrant II.
Cheers.
If BD BC, BD = 5x – 26, BC = 2x + 1, and AC = 43, find AB.
Answer:
AB = 24
Step-by-step explanation:
BD = 5x – 26
BC = 2x + 1
AC = 43
Using the segment addition postulate, AC = AB + BC.
We know that BD = BC, BD = 5x-26 and BC = 2x+1. We can set up an equation to find the value of x:
5x - 26 = 2x + 1 Subtract 2x from each side
5x - 26 - 2x = 2x + 1 - 2x
3x-26 = 1 Add 26 to each side
3x-26+26 = 1+26
3x=27 Divide both sides by 3
3x/3 = 27/3
x = 9
This means that BC = 2x + 1 = 2(9) + 1 = 18 + 1 = 19.
We know that AC = AB + BC; using our given information as well as the value of BC we just found, we have
43 = AB + 19 Subtract 19 from each side
43 - 19 = AB + 19 - 19
24 = AB
Is 3.12 repeating a irrational or a rational
Answer:
a repeating decimal can be written as a fraction using algebraic methods, so any repeating decimal is a rational number.
Answer:
repeating decimals are rational becoz they can be written in the form p/q
Step-by-step explanation:
10x-10=5(x+1) Wht is x
Answer:
x = 3
Step-by-step explanation:
We know:
10x - 10 = 5 ( x + 1 )
Distribute/ Multiply:
10x -10 = 5x + 5
Rearrange equation:
10x - 5x = 5 + 10
Combine like terms:
5x = 15
Divide:
x = 3
Truck has a trailer that has a length of 13 feet width of 6 feet and a height of 8 feet what is the volume of the trailer
Answer:
624ft^3
Step-by-step explanation:
the formula for volume is lengthxwidthxheight.
so it would be 13x6x8
and that sum is 624ft^3
In a pizza eating contest, a participant can eat 3 slices of pizza in 2 minutes. If he continues to eat at this rate, then how many slices of pizza will he eat in 10 minutes?
If you eat 3 slices of pizza in 2 minutes, you will be able to eat 15 slices of pizza in 10 minutes.