Answer:
6Step-by-step explanation:
[tex]10x - 15x + 5 = - 45 + 20[/tex]
Collect like terms
[tex] - 5x + 5 = - 45 + 20[/tex]
Calculate the sum
[tex] - 5x + 5 = - 25[/tex]
Move constant to RHS and change its sign
[tex] - 5x = - 25 - 5[/tex]
Calculate
[tex] - 5x = - 30[/tex]
Divide both sides of the equation by -5
[tex] \frac{ - 5x}{ - 5} = \frac{ - 30}{ - 5} [/tex]
Calculate
[tex]x = 6[/tex]
Hope this helps...
Best regards!!
Answer:
x = 6
Step-by-step explanation:
10x - 15x + 5 = -45 + 20
→ Simplify the 10x - 15x
-5x + 5 = -45 + 20
→ Simplify the -45 + 20
-5x + 5 = -25
→ Minus 5 both sides from to isolate -5x
-5x = -30
→ Divide by -5 from both sides from to isolate x
x = 6
Simplify the following algebraic expression 3/4 (1/2x-12)+4/5
Answer:
y = 3/8x - 9 + 4/5
Step-by-step explanation:
assuming y = 3/4 (1/2x-12)+4/5
multiply 3/4 and (1/2x - 12)
y = 3/8x - 9 + 4/5
Answer:
Step-by-step explanation:
The LCD here is 120. Multiplying both terms by 120 and then dividing the result by 120 yields
90(1/2x - 12) + 96 45x - 1080 + 96 45x - 984
-------------------------- = ------------------------------- = ----------------------
120 120 120
Which expression can you simplify by combining like terms? 12b2+4ab−3ba−6 17a2−6b2a+4ba−9 5b2−5a2+8a−b 14a2+6ab−3b−3a
Answer:
12b^2+4ab−3ba−6
Step-by-step explanation:
12b2+4ab−3ba−6
The two middle terms are like terms, the order in which you multiply does not matter ab =ba
12 b^2 +4ab -3ab -6
12 b^2 +ab -6
The correct answer is....
A.) A 12b2+4ab-3ba-6If the degree and variables of two terms are same, then they are called like terms.
Here, 4ab and -3ab are like terms because both have same variables a and b with degree 1.
By combining like terms we get
In options B, C and D, there are no like terms, So only the expression we can simplify by combining like terms.
Two bicycles are driving on the circle in the same direction with speeds of 9 mph and 5 mph respectively. How many points are there on the circle where the two bicycles meet?
Answer:
4 points
Step-by-step explanation:
.
Let L be the circumference of the circle.
Then the faster cyclist will catch the slower cyclist first time when the faster cyclist will cover
the distance which exactly 1 circumference longer than the distance covered by the slower cyclist
9t-5t=l
It gives the time to get first meeting point
t=l/9-5=l/4 hours
and the distance which the faster cyclist covered during this time is
d1=9t=9l/4 miles
The distance which the slower cyclist covered during this time is
d2=5t=5l/4
The meeting point is geometrically the same point on the circle for both cyclists, and its angle measure on the circle is
(1/l)(5l/(4)-l)=1/4
of the full angle of 2pi radians, or 90 degrees.
So, they started simultaneously, and their first meeting point is at the 90 degrees angle.
Next, they started from this point SIMULTANEOUSLY and . . . and everything was repeated.
Hence, their next meeting point is the point on the circle with the angle of 180 degrees.
So, there are 4 remarkable points on the circle: first point is the starting point, and 3 other points
(the points where whey meet/catch each other) are the images of the starting point, rotated 90°, 180°, and 270° along the circle.
There are 4 remarkable points on the circle which is the first point is the starting point and 3 other points.
What is the circumference of the circle?The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.
The circumference of the circle = 2πr
Let L represent the circumference of the circle.
Then the faster cyclist will catch the slower cyclist the first time when the faster cyclist will cover the distance which is exactly 1 circumference longer than the distance covered by the slower cyclist
9t - 5t = L
It gives them time to get the first meeting point
t = L/9 - 5
t = L/4 hours
The distance which the faster cyclist covered during this time;
d1 = 9t = 9L/4 miles
The distance that the slower cyclist covered during this time is
d2 = 5t = 5L/4
The meeting point is geometrically the same point on the circle for both cyclists, and its angle measured on the circle;
(1/l)(5l/(4)-l)=1/4
Therefore, their next meeting point is the point on the circle with an angle of 180 degrees.
So, there are 4 remarkable points on the circle which is the first point is the starting point and 3 other points.
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Please help me I am bad at this stuff
The stem-and-leaf plot shows the number of points scored by the Bears in each of their basketball games this season. Identify the mean and median, as
well as how many games they scored at least 30 points. Round to nearest tenth for any calculations.
STEM
LEAF
1
89
2
02336889
3
01 4 4 5 6 8 9
4
012
113
8 = 18 points
Answer:
Mean = 30.3
Median = 30
They scored 30 or more points on 11 games.
Step-by-step explanation:
Mean = all the numbers added together divided by 21
636/21 = 30.3
Median is the middle number (the 11th) = 30
pls help me i give brainliest
Answer: I Thing the answer may be 7units. Please correct me if i'm wrong
Step-by-step explanation:
The following function represents the value of a house, in dollars, after x years:
f(x) = 242,000(1.04)*
What does 242,000 represent? (5 points)
Answer:
242,000 is the present value of the house.
Step-by-step explanation:
Answer:
242,000 represents the value of the house
Step-by-step explanation:
Bryce is picking out a new lamp at a furniture store. There are 5 kinds of lamp bases and
3 different lampshades. Each lampshade comes in 3 different colors. Bryce also needs to
choose one of the 2 kinds of lightbulbs available. How many different lamps can Bryce choose?
Answer:
80 lamps
Step-by-step explanation:
number of lamp bases*no. of lampshades*no. of lightbulbs= total number of lamp choices
5*(3*3)*2
=5*9*2
=40*2
=80
hope it helps :)
Which of these numbers is the most precise approximation of?
Answer:
[tex]\boxed{3.464}[/tex]
Step-by-step explanation:
Calculate the square root.
[tex]\sqrt{12} = 3.46410161514[/tex]
Approximate the value.
[tex]\sqrt{12} \approx 3.464[/tex]
Answer:
d
Step-by-step explanation:
to find the square root of a # see how many times a # can go into the root, find the # with the greatest value
kindly help me with this
evaluate the integral
[tex] \gamma \binom{2}{1} \frac{2x}{{x}^{2} + 1} dx[/tex]
Answer: ln5 - ln2 ≈ 0.919
Step-by-step explanation:
[tex]\int\limits^2_1 {\dfrac{2x}{x^2+1}} \, dx\qquad \qquad =\int\limits^2_1 {(x^2+1)^{-1}} \, 2xdx[/tex]
Let u = x² + 1 → du = 2x
[tex]\text{Then we have:}\quad \int\limits^2_1 {u^{-1}} \, du \qquad =ln|u|\bigg|^2_1[/tex]
Substitute u = x² + 1
[tex]ln|x^2+1|\bigg|^2_1\quad =ln|2^2+1|-ln|1^2+1|\quad = ln|5|-ln|2|[/tex]
What additional information must be known to prove the triangles similar by SSS? options: A) ∠F ≅ ∠Q B) No additional information is needed. C) The lengths of and D) ∠F ≅ ∠D
Answer:
Option A) [tex]\angle F\\[/tex] congruent with [tex]\angle Q[/tex]
Step-by-step explanation:
There is only information about two sides in each triangle, so there is still the need of a third piece of info which can come from an angle like [tex]\angle F\\[/tex] congruent with [tex]\angle Q[/tex], which are angles opposite to one of the given sides on each triangle.
Kim and Stacy like to make necklaces. Kim has made 25 necklaces, and Stacy has made t necklaces. They have made a total of 57 necklaces all together. Write an equation to describe this situation. How many necklaces did Stacy make?
25 + t = 57
t = 57 - 25
t = 32
so stacy made 32 necklaces
Does the function ƒ(x) = (0.85)x represent exponential growth, decay, or neither? Question 8 options: A) Exponential decay B) Impossible to determine with the information given. C) Neither D) Exponential growth
Answer:
exponential decay
Step-by-step explanation:
The function f(x)=0.85ˣ is a exponential decay.
What is a function?A relation is a function if it has only One y-value for each x-value.
The given function is f(x)=0.85ˣ.
The function f of x is equal to zero point eight five to the power of x.
Exponential decay refers to a process in which a quantity decreases over time, with the rate of decrease becoming proportionally smaller as the quantity gets smaller.
The function f(x)=0.85ˣ is a exponential decay.
Hence, the function f(x)=0.85ˣ is a exponential decay.
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If you're good at trigonometry please help me with 10 a and b and show full working out ty ;)
Answer:gjcnlfjdk
Step-by-step explanation:
Identify the coefficient of 12b5.
Given the value [tex]12b^{5}[/tex] ; the coefficient of b is 12.
The Coefficient is a numerical value or constant which is used to multiply a variable; from the value given above ;
The variable is b ;
The Coefficient = 12 ; the coefficient is the value which is used fo multiply the variable b.
The power is the value to which the variable is raised.
Hence,
The Coefficient is 12 ; it is the value which multiplies the variable 'b' and the power is 5
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FIRST GETS BRAINLLEST What is the perimeter of the track, in meters? Use π = 3.14 and round to the nearest hundredth of a meter.
Answer:
250.72
Step-by-step explanation:
the first step to do is you imagine the semi-circle is a whole circle. Now since its a circle you can calculate the circumference by using the equation 3.14d. The diameter of the circle is 150.72 Now we can easily tell that their are two sides having a length of 50 meters. 50 +50 = 100. Now if we cut the circle and put the semi-circle back to its place, then it will have the same shape of the track. And finally when you add 150.72 + 100= you get 250.72.
Answer:
175.4
Step-by-step explanation:
50+50=100
Find circle perimeter with 12, because you have to use the radius not the diameter. Perimeter of circle= 75.4
100+75.4= 175.4
In triangle ABC, angle B = 90 degrees. Semicircles are constructed on sides AB, AC, and BC, as shown below. Show that the total area of the shaded region is equal to the area of triangle ABC.
Explanation:
The area of a semicircle is given by ...
A = πr^2/2
where r is the radius. Here, we're given diameters, so in terms of diameter, the area of a semicircle is ...
A = π(d/2)^2/2 = (π/8)d^2
__
The area of the semicircle with diameter AC is ...
white area = (π/8)AC^2
The area of the semicircle with diameter BC is ...
left semicircle area = (π/8)BC^2
And the area of the semicircle with diameter AB is ...
right semicircle area = (π/8)AB^2
__
We can use the relationship between the areas to find the shaded area:
triangle area + left semicircle area + right semicircle area =
white area + shaded area
Then the shaded area is ...
shaded area = triangle area + left semicircle area + ...
right semicircle area - white area
__
Filling in the values for area from above, we have ...
shaded area = triangle area+ (π/8)BC^2 +(π/8)AB^2 -(π/8)AC^2
shaded area = triangle area + (π/8)(BC^2 +AB^2 -AC^2)
From the Pythagorean theorem, we know that ...
AC^2 = BC^2 +AB^2
Substituting this into the above equation gives ...
shaded area = triangle area + (π/8)((Bc^2 +AB^2 -(BC^2 +AB^2))
shaded area = triangle area + 0 . . . . simplify
shaded area = triangle area
Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a $ 7.50 delivery fee and $ 14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under $ 60. Each pizza is cut into 8 slices, and she wonders how many total slices she can afford. Let P PP represent the number of pizzas that Jacque buys. 1) Which inequality describes this scenario? Choose 1 answer: (Choice A,) 7.50 + 14 P < 60 (Choice B) 7.50 + 14 P > 60 (Choice C) 14 + 7.50 P < 60 (Choice D) 14 + 7.50 P > 60 2) What is the largest number of slices that Jacque can afford?
Answer: Choice A
Step-by-step explanation:
She can only buy 3 pizzas. 14 times 3 is 42. 42 plus 7.50 is 49.50. Another 14 dollars would be over. So 24 SLICES she can afford.
Here, we are required to identify the inequality that describes Jacque's pizza purchase scenario and also the largest number of slices that Jacque can afford
Choice 1 which is ;
Choice 1 which is ;7.50 + 14 P < 60Choice 1 which is ;7.50 + 14 P < 60Jacque can afford to buy 30slices of pizza
First,
Since the restaurant charges a fixed $ 7.50 for delivery and charges $ 14 per pizza.and she also needs to keep the delivery fee plus the cost of the pizzas under $ 60The inequality which describes the scenario is :
Choice 1 which is ;
7.50 + 14 P < 60And to determine the largest number of slices that Jacque can afford, we have to solve for P first.
Therefore, 14P < 60 - 7.50P = 52.50/14P = 3.75Therefore, Jacque can only buy 3.75 pizzasHowever, the question requires that we determine how many slices she can afford to buy,
Since each pizza is cut into 8 slicesJacque can afford to buy 3.75 × 8 slices of pizza.
Jacque can afford to buy 30slices of pizza
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Consider points a, b, and c in the graph. Which point is the global maximum? Question 6 options: A) b B) c C) None of these D)
Answer:
point a is the maximum
Step-by-step explanation:I took the test
Ava is buying paint from Amazon. Ava needs 3⁄4 cup of blue paint for every 1 cup of white paint. Ava has 28 ounces of white paint. How many cups of blue paint does he need?
Answer:
21
Step-by-step explanation:
So we know the ratio is 3/4:1
So if she has 28 ounces of white pain, we can do 28*3/4=21. You could also do 28/4 (find out how much 1/4 of the value is) which is 7 and then multiply that by 3. What your basically doing is your putting it into 4 equal parts and then just multiplying by 3 since that's the amount of parts you need/have.
Which change can be made to correct the chart?
The expression 3x3 should be 3x2.
The expression 6x should be 6xy.
The expression x2y should be x2y2.
The expression 4y should be 4y2.
Answer:
3x^3/x = 3x^(3-1) = 3x^2
6x*y = 6xy
x^2y *y = x^2y^(1+1) = x^2y^2
4y*y = 4y^2
Step-by-step explanation:
This can be solved using law of Indices.
The expression 3x^3 should be 3x^2.
Here power of x is three while in output power of x is two hence we need to eliminate power of x by one for that we divide 3x^3 by x
Rule: x^a/x^b = x^(a-b)
3x^3/x = 3x^(3-1) = 3x^2 (answer)
_________________________________
The expression 6x should be 6xy.
here term y is missing hence we multiply 6x with y
rule: a*b = ab
6x*y = 6xy (answer)
_________________________________________________
The expression x^2y should be x^2y^2
Here we need power of y as 2, to do that we multiply x^2y by y.
Rule
x^2*x^b = x(a+b)
x^2y *y = x^2y^(1+1) = x^2y^2 (answer)
_____________________________________________
The expression 4y should be 4y^2\
Here we need power of y as 2, to do that we multiply 4y by y.
Rule
x^2*x^b = x(a+b)
4y*y = 4y^2 (answer)
Answer:
b: the expression 6x should be 6xy
Step-by-step explanation:
i just did on edgen 2020
1. Create your own data set with an interquartile range of 17.
2. Explain how you decided which numbers to use.
3. Show the math that shows the interquartile range is 17.
Hey there! I'm happy to help!
The IQR is how far apart the first and third quartiles are, which are the middle numbers of the first and second halves of a data set. Let's find some random numbers that are 17 apart. We will use 3 and 20.
Now, we have to create a data set where 3 is the middle number of the first half and 20 is the middle number of the second half. Let's have one with six numbers because that's a good amount I guess. Remember that the data has to be going from least to greatest.
In our first half we will have one number that is smaller than 3 and one bigger than three so that 3 is in the middle. Here's an example of what our first half should look like:
2,3,5
Now, for our second half, we need a number smaller than 20 and one greater than 20 so 20 is the the middle. Here's the second half I've made for you.
16,20,100
So, the data set I've created for you is 2,3,5,16,20,100. However, there are many other possibilities as you've seen.
My answers for your question 1 and 2 are in the explanation I've done, and here's the math that shows that the interquartile range is 17.
You split the data in half.
2,3,5, 16,20,100
Q1 is the middle number of the first, which is 3. Q3 is the middle of the second, which is 20.
You find how far apart they are by subtracting 3 from 20.
20-3=17.
The IQR is 17.
Have a wonderful day! :D
Find the area of the shaded polygon:
Answer:
6 units squared
Step-by-step explanation:
To solve this problem you can solve for the entire area of the square and subtract the area of the unfilled areas for the area of the shaded region..
Area of entire square is 4*4=16
Now for the sections that are unfilled:
4*3/2= 6
1*1/2= 0.5
2*1 = 2
1*1 = 0.5
2*1/2 = 1
Total area of Unfilled region = 6 + 0.5 + 2 + 0.5 +1 = 10
Area of filled region = 16 - 10 = 6 units squared
Hope this helped!
HELPPPP PLEASEEEEEEEEE
Answer:
3
Step-by-step explanation:
Plug in 2 for x:
5-2 - 3
Answer:
3
Step-by-step explanation:
f(x)= 5 - x
f(2) = 5 - 2 = 3
Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________
What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?
x < –3
x > –3
x < 3
x > 3
Answer:
3 > x
Step-by-step explanation:
–2(5 – 4x) < 6x – 4
Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: divide each side by by -2, remembering to flip the inequality
-6/-2 > -2/-2
3 > x
Answer:
x < 3
Step-by-step explanation:
−2(5−4x)<6x−4
Use the distributive property to multiply −2 by 5−4x.
−10+8x<6x−4
Subtract 6x from both sides.
−10+8x−6x<−4
Combine 8x and −6x to get 2x.
−10+2x<−4
Add 10 to both sides.
2x<−4+10
Add −4 and 10 to get 6.
2x<6
Divide both sides by 2. Since 2 is >0, the inequality direction remains the same.
x= 6/2
Divide 6 by 2 to get 3.
x= 3
X< 3
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PLEASE HELPPPPPPPPP!!! Graph the line that represents a proportional relationship between d and t with the property that an increase of 3 units in t corresponds to an increase of 4 units in d. What's the unit rate of change of d with respect to t? (That is, a change of 1 unit in t will correspond to a change of how many unites in d?) The unit rate is _____? Graph the relationship.
Answer:
Draw a straight line through these two points (0, 0) and (1, 3).
Step-by-step explanation:
"Proportional relationship" implies line or curve that goes through the origin; there is no "y-intercept" in this case.
Plot a dot at (0, 0). Next, move your pencil point 1 unit to the right (you'll end up at (1, 0), and then move it from there up to (1, 3). Draw a straight line through these two points (0, 0) and (1, 3).
Answer:
The unit rate of change of d with respect to t is 4/3.
The graph should be: (0,0) and (3/4).
Step-by-step explanation:
I got it wrong on khan academy :/
so i went over here and answer it
Please help i will mark brainliest for correct answers!
Answer:
7. 1/3 8. 3/8
Step-by-step explanation:
7. 5 - 1/6 chance 1 out of 6 possibilities
6 - 1/6 chance 1 out of 6 possibilities
1/6+1/6 = 1/3
8. 3 a's out of 8 letters. 3/8
Answer:
7. 2/3
8. 3/8
Step-by-step explanation:
5 - 1/6
1/6
6 - 1/6
1/6
1/6+1/6 = 2/6 = 1/3
3 out of 8
3/8
Graphs are sometimes______by the way they present information.
Answer:
Misleading?
Step-by-step explanation:
Graphs can have mislabeled axes or different values on the axes, making them hard to understand.
I think this is the right answer, but the question was way too vague. Next time, put some options or at least explain the problem better.
Which of the following can prove that figure ABCD is a square?
Answer:
A
Step-by-step explanation:
all sides of square is 90degrees
Since AC and BD is the same, when you join the lines together, it will definitely be a square
What is the x xx-intercept of the line?
Answer:
(3,0)
Step-by-step explanation:
The graph is a line so it will have an equation with this form:
y = mx+b
m is the slope and b is the y-intercept.
Let's calculate m:
● m = (-32-(-64))/(-9-(-21)) = 8/3
Now replace m with its value and x,y with coordinates of a point.
● -32 = (8/3)*(-9) +b
● -32 = -24 +b
● -32+24 = b
● -8 =b
Solve y = 0
●(8/3)*x+b = 0
● (8/3) *x = 8
● x = 3
The coordinates of the x-intercept are (3,0)