Answer:
Step-by-step explanation:
First make the denominators the same.
Take the LCM of (8, 12 , 8) = 24
So,
[tex]\frac{1}{8}, \frac{11}{12}, \frac{9}{8} \ becomes \ \frac{3}{24}, \frac{22}{24}, \frac{27}{24}[/tex]
[tex]Order \ from \ least \ to \ greatest \ \\\\\frac{3}{24} < \frac{22}{24} < \frac{27}{24}[/tex]
That is,
[tex]\frac{1}{8}, \frac{11}{12}, \frac{9}{8}[/tex]
Solve:
3/4 + 6/7 + 2/9
The answer is 1.829365
Step-by-step explanation:
3/4+6/7+2/9=1.83
Answer:
461/252
Step-by-step explanation:
See the steps below:)
Lena wants to replace a glass window in her restaurant. The window is in the shape of a square. Its side lengths are 7 feet. Suppose glass costs $7 for each square foot. How much will the glass cost to replace the window?
Step-by-step explanation:
It helps to draw a picture but also write what you are given
The square measures 7ft on all sides
youre paying by the square foot
to get square feet, use L x W
so 7ft x 7ft = 49 ft^2
so if we are charged $7 for 1 ft^2, then you add $7, 49 times
So youd write and solve
7 + 7 + 7 + 7 +... + 7 = $7 x 49ft^2
Jemma wants to solve the following system using the elimination method:
y = x − 6
y = 6x − 19
What number should the equation y = x − 6 be multiplied by to eliminate x?
1
2
4
−6
Answer:
Your answer is -6
Step-by-step explanation:
Consider a triangle A BC like the one below. Suppose that A = 100°, b =51, and c= 45. (The figure is not drawn to scale.) Solve the triangle. Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth. If there is more than one solution, use the button labeled "or".
Answer:
[tex]A = 100^o[/tex]
[tex]B = 43.0^o[/tex]
[tex]C =37.0^o[/tex]
Step-by-step explanation:
Given
[tex]A = 100^o[/tex]
[tex]b = 51[/tex]
[tex]c =45[/tex]
Required
Complete the triangle (See attachment)
First, calculate side a using cosine's equation
[tex]a^2 = b^2 + c^2 -2bc \cos A[/tex]
[tex]a^2 = 51^2 + 45^2 -2*51*45 \cos (100^o)[/tex]
[tex]a^2 = 4626 -4590 *-0.1736[/tex]
[tex]a^2 = 4626+ 796.8[/tex]
[tex]a^2 = 5422.8240[/tex]
Take square roots
[tex]a = 73.6398[/tex]
The measure of B and C can then be calculated using sine's equation
[tex]\frac{a}{\sin A} =\frac{b}{\sin B} =\frac{c}{\sin C}[/tex]
So:
[tex]\frac{73.6398}{\sin (100)} =\frac{51}{\sin B}[/tex]
[tex]\frac{73.6398}{0.9848} =\frac{51}{\sin B}[/tex]
Cross multiply
[tex]\sin B * 73.6398 = 51 * 0.9848[/tex]
[tex]\sin B * 73.6398 = 50.2248[/tex]
Solve for sin B
[tex]\sin B = \frac{50.2248}{73.6398}[/tex]
[tex]\sin B = 0.6820[/tex]
Take arc sin of both sides
[tex]B = \sin^{-1}(0.6820)[/tex]
[tex]B = 43.0^o[/tex]
To calculate C, we make use of:
[tex]A + B + C = 180^o[/tex] --- angles in a triangle
[tex]100 + 43 + C = 180[/tex]
[tex]143 + C = 180[/tex]
Collect like terms
[tex]C =180-143[/tex]
[tex]C =37.0^o[/tex]
Help me PLEASEEEEEEEEEEEEE
Olivia bought a notebook for $12.50 and 9 pens. If her total was $43.73, how
much was each pen?
Help quick pls
Answer:
$3.47
the cost of each pen is $3.47
Step-by-step explanation:
subtract the price of notebook from total price
43.73 - 12.50
= 31.23
divide total from number of pens
31.23 / 9
= 3.47
If the following picture below was rotated about the y-axis, what 3-D shape would it make? ( HELP PLEASEE )
Rotating the figure about the y-axis results in the creation of a cylindrical figure of radius 2 units and 6 units tall.
Can someone help with this one
Answer:
2 bicycles
Step-by-step explanation:
let no. of bicycles be xno.of tricycles = (6 -x)as there were 5 bicycles and tricycles
now,
a bicycle has 2 wheels a tricycle has 3 wheelstotal no.of wheels = 16
2x + 3(6 - x) = 16
2x + 18 - 3x= 16
2 - x = 0
2 = x
therefore, there are 2 bicycles.
Select all that are true for Triangle PQR
In other words, only choice A and choice D are false.
====================================================
Explanation:
An included angle is one between two given sides. Think of the angle sandwiched in between.
For choice A, the included angle is actually angle R. This is because the "R" shows up in QR and RP. This is the overlapping or shared letter between the segments. So we can see that statement A is false.
In contrast, choice B and choice C are true. Choice B is true because of what I mentioned in the previous paragraph. Choice C is true because Q shows up in both QR and PQ. It might help to draw out the diagram to see why this works.
------------------------
For choices D through F, we'll just take this logic in reverse.
The segment RP has angles R and P involved. In other words, segment RP is between angles R and P. We can rule out choice D since choice E is true.
Choice F is true as well because segment QP involves angles Q and P. No diagrams are needed but it might help to draw out the diagram to see what's going on.
------------------------
Overall, we have four true statements and they are choices B, C, E and F.
the square pyramid shown below has a volume of 360 ft³. find the height of the pyramid
s= 8 feet
Answer:
Use MATH.WAY, it will help with any math problem
Step-by-step explanation:
144 seventh graders would check out fancy books
Give an example of a real-world permutation in which repetition is allowed one in which repetition isn’t allowed.
Answer:
Example 1: The PIN code is an example when order is important. The PIN code 1234 is different from the PIN code 4321. When selecting more than one item without replacement and order is important, it is called a Permutation. When order is not important, it is called a Combination.
Step-by-step explanation:
When we hear the word "combination" in our daily life, we immediately think about the collection of things in the form of a set or a group. For instance, if anyone says that my bowl has a combination of apples, carrots, and bananas, then we immediately think that the bowl has three items. We are not concerned with the order in which these three things were put in the bowl. In mathematics, the combination means the number of ways in which different objects are combined to form a set.
Answer:
so the other guy can get brainlest ur welcome
Step-by-step explanation:
What is sin 49° to the nearest tenth
Answer:
50
Step-by-step explanation:
50???
Answer:
sin49° = 0.75471
sin 49° = 0.75471
sin 49 degrees = 0.75471
Step-by-step explanation:
Find the sample mean on the outputs. Does the sample mean provide some evidence that the mean of the population of all possible trash bag breaking strengths is at least 50 pounds
Estimate: 4/5 - 1/2
Answer:
Answer:
it's 3 by 10
just take l.c.m
Please help me I need to finish
The given triangle is a Right angled triangle,
By applying trigonometry :
[tex] \boxed{\tan( \theta) = \frac{opposite \: \: side}{adjacent \: \: side} }[/tex]
[tex] \tan(45 \degree) = \dfrac{7}{a} [/tex][tex]1 = \dfrac{7}{a} [/tex][tex]a = 7[/tex]_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
I need the answer fast pls
Answer:
89 b
Step-by-step explanation:
what is the ratio?
please answer quickly!!!!!
Answer:
3:1
Step-by-step explanation:
If you look at the sides, they all have the same factor of three, and dividing by three gets you to the smaller rectangular prism.
Alex is a writer who writes poems and short stories. For an upcoming writer's workshop Alex wants to write some new works. He needs to determine how many poems and short stories he will have ready for the workshop. Alex figures that each poem will take him 30 hours and each short story will take him 70 hours. For the workshop Alex wants to have at least 4 poems and 3 short stories to display. If Alex has 840 hours of work time available, what solution represents the maximum number of works that he could write while staying in his time budget
Answer:
The maximum number of works that he can write while staying in his time budget is 24.
21 poems and 3 short stories
Step-by-step explanation:
In order to solve this problem we must first determine what our variables are. In this case it's the number of poems and short stories he can write.
p = # of poems
s = # of short stories
Next, we must build our objective function which will represent the total number of works he can write.
N=p+s
where N is the number of works.
Next, we must write the constrains based on the information provided by the problem.
The problem tells us that it takes him 30 hours to write a poem and 70 hours to write a short story and that he has 840 hours available to write them, so that constrain will be the following:
[tex]30p+70s \leq 840[/tex]
it also tells us that he wants to write at least 4 poems and 3 short stories so there we have our other two constrains.
[tex]p \geq 4[/tex]
[tex]s \geq 3 [/tex]
once we got our constrains we can go ahead and graph them to see how they will behave. (See attached picture)
In the graph p is the horizontal axis and s is the vertical axis.
On the graph we can see a polygon that is formed by the restriction. The vertices of the polygon will represent the optimal conditions for this linear programming problem. There are three optimal solutions there, so we need to test them to see which will return the greatest number of works he can write while keeping the given conditions.
Option 1:
4 poems and 3 short stories
N=4+3
N= 7 works
Option 2:
4 poems and 10 short stories
N=4+10
N=14 works
Option 3:
21 poems and 3 short stories
N=21+3
N=24 works
So the optimal solution will be given by option 3 with 21 poems and 3 short stories.
Help pleaseeeeeeeeeeee
Answer:
60
Step-by-step explanation:
All angles in a triangle equal 180
you already have Angles A (30) and C (90)
Set your formula up as
180-30-90=B
60=B
Write the meaning of each algebraic expression. Then, evaluate the algebraic expression for the given value.
5x - 4 If x=3
In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number). For example, 3x2 − 2xy + c is an algebraic expression.
5x−4x=3
Step 1: Simplify both sides of the equation.
5x−4x=3
5x+−4x=3
(5x+−4x)=3(Combine Like Terms)
x=3
x=3
Answer:
x=3
BRAINLIEST AND 50 POINTS!
If y varies inversely with x, and y=3 when x=16, find y when x=4
Answer:
When x =4 y=12
Step-by-step explanation:
Inverse variation is
xy = k where k is a constant
y =3 and x = 16
3*16 = k
48 = k
The equation is
xy = 48
Now let x = 4
4y = 48
Divide each side by 4
4y/4 = 48/4
y = 12
When x =4 y=12
Plz help me well mark brainliest if correct.....???
Answer:
D) line graph
Step-by-step explanation:
There is two lines on the graph that have points on each which makes this graph a line graph.
Hope this helped :)
Answer:
its a line graph
Step-by-step explanation:
is a graph that uses lines to connect individual data points displaying quantitative values over a specified time interval.
2x + 4,x²-4 answer 7 class
Leia needs to make at least 40 necklaces to sell at a craft show. So far, she has made 7. Which inequality shows the
number of necklaces, n, that she still needs to make?
A). n - 7 less than or equal to 40
B) n - 7 greater than or equal to 40
C). n + 7 less than or equal to 40
D). n + 7 greater than or equal to 40
Answer:
The answer is D
Hope this helps!
Brainliest??
Answer:
D
Step-by-step explanation:
the answer is D because if she already made 7 she need to add n to 7 to get 40 or greater
Type an equation for the
following pattern.
X
у
1
16/3
2.
14/3
[?]
x + [ ]
y =
3
4
4
10/3
5
8/3
Answer:
y = -2/3 x + 6
Step-by-step explanation:
Using the coordinates (1, 16/3) and (3,4)
Slope m = 4-16/3/3-1
Slope m = -4/3 * 1/2
Slope m = -2/3
For the y-intercept
Substitute (3,4) and m = -2/3 into y =mx+b
4 = -2/3(3) + b
4 = -2 + b
b = 4 + 2
b = 6
Get the required equaton;
Recall that y = mx+b
y = -2/3 x + 6
Round your answer to the nearest hundredth.
pls help :((
Answer:
Angle B = 29.74
Step-by-step explanation:
Tan(x)=opp/adj
Tan(x)=4/7
x=[tex]Tan^{-1} (\frac{4}{7} )[/tex]
x=29.74
A machine in a candy factory can
make 62 candies in one hour. About
how long would it take to make
2,480 candies?
Answer:
40
Step-by-step explanation:
hope this helps
what times what equals -4 and adds up to 3
Answer:
-4 and 1
Step-by-step explanation:
-4 times 1 equals -4 and then -4 plus 1 equals 3
The two numbers that satisfy the given conditions are 4 and -1. They multiply to -4 and add up to 3.
To find two numbers that satisfy the given conditions, we can set up a system of equations.
Let's assume the two numbers are represented by 'x' and 'y'. We know that their product is -4 and their sum is 3, so we can write the following equations:
xy = -4 (Equation 1)
x + y = 3 (Equation 2)
To solve this system of equations, we can use the substitution or elimination method. Let's use the substitution method.
From Equation 2, we can express y in terms of x: y = 3 - x.
Substituting this into Equation 1, we get:
x(3 - x) = -4
Expanding and rearranging the equation, we have:
3x - x² = -4
Rearranging again, we get a quadratic equation:
x² - 3x - 4 = 0
We can factor this equation:
(x - 4)(x + 1) = 0
Setting each factor to zero, we find two possible solutions for x:
x - 4 = 0 --> x = 4
x + 1 = 0 --> x = -1
Now, we can substitute these values of x back into Equation 2 to find the corresponding values of y:
For x = 4: y = 3 - 4 = -1
For x = -1: y = 3 - (-1) = 4
Therefore, the two numbers that satisfy the given conditions are 4 and -1. They multiply to -4 and add up to 3.
To learn more about the system of equations;
brainly.com/question/13729904
#SPJ6
If x plus 3/4 = 1, then which point on the number line could be x?
Answer:
x=1/4
Step-by-step explanation:
1/4+3/4=1 whole
Answer:
[tex]x = \frac{1}{4}[/tex]
Step-by-step explanation:
Step 1: Subtract [tex]\frac{3}{4}[/tex] from 1
[tex]1 - \frac{3}{4}\\\\= \frac{1}{4}[/tex]
Therefore, the point could be [tex]\frac{1}{4}[/tex]