Answer:
b=10,000
Step-by-step explanation:
[tex]9,000-b=-11,000+b[/tex]
Regroup terms
[tex]9,000-b=b-11,000[/tex]
Add b to both sides
[tex]9,000-b+b=b+b-11,000\\9,000=2b-11,000[/tex]
Add 11,000 to both sides
[tex]9,000+11,000=2b-11,000+11,000\\9,000+11,000=2b[/tex]
Simplify by adding
[tex]20,000=2b[/tex]
Divide both sides by 2
[tex]\frac{20,000}{2}=\frac{2b}{2}\\ \\10,000=b[/tex]
Switch sides
[tex]b=10,000[/tex]
Done.
Answer:
b=10000
Step-by-step explanation:
add b on both sides
9000=-11000+2b
add -11000 on both sides
20000=2b
divide by 2 on both sides
b=10000
Travis's purchasing an $225000 home with a 30 year mortgage at 5.15% because he is not making a down payment PMI in the amount of $84.50 a month is required for the 1st 2 years of the loan based on this information what is the total cost of his loan
Answer:
The total cost of the loan = $444,208.80¢
Step-by-step explanation:
Please kindly check the attached files for details
Answer: $444,309.60
Step-by-step explanation:
Help please A multiple choice question has 6 options. What is the percentage of getting the answer correct ? Can you write the answer as a ratio too?
Answer:
16.67%
Step-by-step explanation:
No. of options: 6
Correct option: 1
P(correct) = 1/6 × 100
16.67%
The base and height of a triangle with base 12 in and the height 6 in are both tripled
Answer:
Base=36
Height=18
Step-by-step explanation:
To work this out you would first multiply 12 by 3, which gives you 36. Then you would multiply 6 by 3, which gives you 18.
1) Multiply 12 by 3.
[tex]12*3=36[/tex]
2) Multiply 6 by 3.
[tex]6*3=18[/tex]
3) Base=36
Height=18
[tex]\large\bf{\underline{\underline{\mathfrak{Question}:}}}[/tex]
The base and height of a triangle with base 12 in and the height 6 in are both tripled.
[tex]\large\bf{\underline{\underline{\mathfrak{Solution}:}}}[/tex]
It is given that,
[tex]:{\Longrightarrow{\small{\rm{The\:base\:of\:a\:triangle\:=\:12}}}}[/tex]
[tex]:{\Longrightarrow{\small{\rm{The\:height\:of\:a\:triangle\:=\:6}}}}[/tex]
And if both base and height get tripled then the base and height would be:
[tex]:{\Longrightarrow{\small{\rm{The\:base\:of\:a\:triangle\:=\:3×12}}}}[/tex]
[tex]{\therefore{\small{\rm{The\:new\:base\:of\:a\:triangle\:=\:36}}}}[/tex]
And,
[tex]:{\Longrightarrow{\small{\rm{The\:height\:of\:a\:triangle\:=\:3×6}}}}[/tex]
[tex]{\therefore{\small{\rm{The\:new\:height\:of\:a\:triangle\:=\:18}}}}[/tex]
I NEEP HELP ON THIS NOWWWWWW
i need the vertex, axis of symmetry, as well as if it is a vertical strech, shrink, and by a factor of how much for the graph in the picture above.
PLEASE HELP QUICK
Answer:
vertex and AOS is 0, and i think the stretch is 1
Step-by-step explanation:
Answer: vertex (0,0)
Vertical stretch
Axis of symmetry X=0
Step-by-step explanation:
Paula is going to choose the size, color, phrase, and picture for a birthday card for her friend. There are
2
22 sizes,
4
44 colors,
7
77 phrases, and
4
44 pictures for her to choose from. (The printing company charges a fee to add extra design elements, so she will choose only one of each.)
How many different card designs are possible?
Answer:
224 card combinations
Step-by-step explanation:
The total number of card designs can be found by multiplying the number of options available for each design element.
Total number of cards= 2x4x7x4=?
224 cards altogether
A person read that the average number of hours an adult sleeps on Friday night to Saturday morning was 7.2 hours. The
researcher feels that college students do not sleep 7.2 hours on average. The researcher randomly selected 15 students and
found that on average they slept 8.3 hours. The standard deviation of the sample is 1.2 hours. If you wanted to test this claim,
what type of statistical test would you do and why?
Calculate the value of z and its probability, since with this we can know how likely it is that this will happen.
We have that the mean (m) is equal to 8.3, the standard deviation (sd) 1.2 and the sample size (n) = 15
They ask us for P (x =7.2)
For this, the first thing is to calculate z, which is given by the following equation:
z = (x - m) / (sd / (n ^ 1/2))
We have all these values, replacing we have:
z = (7.2 - 8.3) / (1.2 / (15 ^ (1/2))
z = -3.55
With the normal distribution table (attached), we have that at that value the approximate probability is:
P (z = -3.55) = 0.0001
The probability is 0.01 %
This affirms that the students do not sleep what the study says because the probability of this happening according to the survey is almost nil.
The composite figure is made up of a triangular prism and a pyramid. The two solids have congruent bases. A triangular pyramid is stacked on top of a triangular prism. They both share a triangular base. The triangle has a height of 10 and a base length of 22. The height of the triangular prism is 25. The height of the pyramid is 19.5. What is the volume of the composite figure? 715 units3 2,035 units3 2,750 units3 3,465 units3
Answer:
the answer is 3465
Step-by-step explanation:
got it right on ed
The required volume of composite figure is 3465 cubic units. Option d is correct.
For composite figure made of triangular pyramid over triangular prism both as congruent base with dimension h = 10 and base =22.
Hight for both pyramid and prism is 19.5 and 25
Volume of composite figure is to be determine,
When two or more solid put together to form new solid is said to be composite figure.
Here,
Volume of a pyramid = 1/3(1/2 base x height of triangle base)*h of
Volume of a pyramid = 1/3*22*10/2*19.5 = 715 cubic units
Similarly, for triangular prism
Volume of a triangular prism= 22*10/2x 25 = 2750 cubic units
Total volume = volume of a triangular (pyramid + prism)
Total volume = 715+2750
Total volume = 3465 cubic units.
Thus the required volume of composite figure is 3465 cubic units.
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I need some help :,)
With which information can you construct more than one triangle?
Answer:
The measurements of all the right angles and the lengths of the two sides and the measurement of the included angle.
Step-by-step explanation:
the measurements of two angles
the measurements of two angles and the length of the included side
the lengths of two sides and the measurement of the included angle
A cereal company is putting 1 of 4 prizes in each box of cereal. The prizes are evenly distributed so the probability of winning any given prize is always 1 / 4. Lily wonders how many boxes she should expect to buy to get all 4 prizes. She carried out 20 trials of a simulation and her results are shown below. Each dot represents how many boxes it took to get all 4 prizes in that trial.
Answer: The answer is 0.3
Step-by-step explanation:
Lily should expect to buy 1.5 boxes to get all four prizes.
Explanation:This question belongs to the field of probability in Mathematics. The problem is asking how many boxes Lily should expect to buy in order to get all four prizes. This is a geometric problem because each box has a probability of 1/4 of containing a prize, and each trial is independent with the same probability of success. To solve this problem, we can use the concept of expected value.
The expected value is the average number of boxes Lily needs to buy to get all four prizes. The expected value can be calculated by multiplying the probability of each outcome by the number of boxes it takes to achieve that outcome, and then summing up these products:
Expected value = (1/4) * 1 + (1/4) * 2 + (1/4) * 3 + (1/4) * 4 = 1.5
Therefore, Lily should expect to buy approximately 1.5 boxes to get all four prizes.
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Find AC and round to the nearest hundredth
Answer:
2.18
Step-by-step explanation:
tan 70°=x/6
by cross multiplication
xtan70°=6
divide both sides by tan70°
x=6/tan70°
x=6/2.7475
x=2.18
Please help! Please let me know if you need a better picture.
Answer:
(x, -y)
Step-by-step explanation:
Look at the coordinates of the point C before the transformation (-2, 2)
look at the coordinates of the point C after the transformation, (-2,-2)
What is the difference between these two points?
Well the x is the same, the y is just the negative version of itself!
Answer:i need a better pic
Step-by-step explanation:
Find the area of the shape shown below
Answer:
A = (1/2)(3)(7 + 3) = 5(3) = 15
15 goes into the box.
Simon can spend no more than $50 on gifts for his family. Let srepresent the
amount he can spend. Choose the symbol that correctly completes the inequality
Use the properties of exponents to solve for each variable.
4^8•4^2=4a
(2^4)^5=2^b
5^6/5^2=5^c
a=
b=
c=
Answer:
[tex] {4}^{8} {4}^{2} = {4}^{10} [/tex]
[tex]( { {2}^{4} )}^{5} = {2}^{20} [/tex]
[tex] \frac{ {5}^{6} }{ {5}^{2} } = {5}^{4} [/tex]
a = 10, b = 20, c = 4
Determine perimeter
Answer:
20cm
Step-by-step explanation:
7.2 + 7.2 + 2.8 + 2.8 = 20
Each side of the rectangle is equal to the side opposite from it. That means you have 2 sides of 7.2 cm and 2 sides of 2.8 cm.
To find perimeter, you add all the sides. So that's 7.2 + 7.2 + 2.8 + 2.8, which is 20 cm altogether.
An entertainment venue has a total advertising budget of $5 million per year. 30% of the budget is spent on social media and 25% is spent on traditional media. Within the traditional media spending, 15% is spent on print advertising, 50% is spent on TV
advertising and 3596 is spent on radio advertising. How much is spent on radio advertising?
Answer:
437,500
Step-by-step explanation:
The percentage value of amount of money spent on radio advertising is given by R = $ 437,500
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the percentage value of amount of money spent on radio advertising be represented as R
Now , the total amount of revenue money = $ 50,00,000
The percentage of money spent on traditional media = 25 %
So , the amount of money spent on traditional media = percentage of money spent on traditional media x total amount of revenue money
On simplifying , we get
The amount of money spent on traditional media = ( 25/100 ) x 5000000
The amount of money spent on traditional media = $ 12,50,000
Now , the percentage of amount spent on radio advertising = 35 %
So , the amount of money spent on radio advertising = ( 35/100 ) x amount of money spent on traditional media
On simplifying , we get
The amount of money spent on radio advertising = ( 35/100 ) x 12,50,000
The amount of money spent on radio advertising = $ 4,37,500
Hence , the amount of money on radio advertising is $ 4,37,500
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If this trapezoid is moved through the translation (x+3,y-2), what will be the coordinates of c
Answer:
C'(1, 2 )
Step-by-step explanation:
The translation (x + 3, y - 2 ) means add 3 to the original x- coordinate and subtract 2 from the original y- coordinate, thus
C(- 2, 4 ) → C'(- 2 + 3, 4 - 2 ) → C'(1, 2 )
Answer:
C = ( 1 , 2 )
Step-by-step explanation:
original : C = ( -2 , 4 )
formula : ( x+3 , y-2 )
( -2 + 3 ) , ( 4 - 2 )
C = ( 1 , 2 )
ill answer the other 3 as well :)
original : A = ( -6 , 2 )
formula : ( x+3 , y-2 )
( -6 + 3 ) , ( 2 - 2 )
A = ( -3 , 0 )
___________________
original : B = ( -5 , 4 )
formula : ( x+3 , y-2 )
( -5 + 3 ) , ( 4 - 2 )
B = ( -2 , 2 )
___________________
original : D = ( 1 , 2 )
formula : ( x+3 , y-2 )
( 1 + 3 ) , ( 2 - 2 )
D = ( 4 , 0 )
yw :)
A round mirror has a radius of 5.3 inches. What is the area of the mirror in square inches, rounded to the nearest tenth?
Answer:
88.2 squared
Step-by-step explanation:
The formula to find the area of a circle is a = pi * r ^2
Let's replace the values that we know.
a = 3.14 x 5.3 ^2
First, we should do 5.3 ^2, which is 28.09.
a = 3.14 x 28.09
Now we are able to do 3.14 x 28.09 which is 88.2026
But that isn't it! We need to round to the nearest tenth, which is this digit:
88.2026
Since next to the 2 there is a 0, you take out all the numbers after that 2. Which leaves you with:
88.2
Final answer:
The area of the round mirror with a radius of 5.3 inches, when calculated using the formula A = πr^2 and rounded to the nearest tenth, is 88.2 square inches.
Explanation:To find the area of the round mirror with a radius of 5.3 inches, we will use the formula for the area of a circle, which is A = πr^2, where A is the area, π is approximately 3.14, and r is the radius of the circle.
Given that the radius of the mirror is 5.3 inches, we can substitute this value into the formula to find the area:
A = π(5.3)^2 ≈ 88.2 square inches.
Let's plug in the radius:
A = π * (5.3 inches)^2A = 88.2026 square inchesWhen rounded to the nearest tenth, the area of the mirror is 88.2 square inches.
a sheet of acrylic has a mass of 95.2g. Acrylic has a density of 1.19g/cm³ What is the volume of the sheet of acrylic
Answer:
80 cm³
Step-by-step explanation:
Density = mass/volume
1.19 = 95.2/volume
Volume = 95.2/1.19
= 80
Answer:
80 cm cubed
Step-by-step explanation:
The density of a substance is denoted by d = m/V, where d is the density, m is the mass, and V is the volume.
Here, we know that the mass m = 95.2 grams and the density d = 1.19 g/cm cubed. So, plug these values into the formula:
1.19 = 95.2/V
Divide both sides by 1.19 and multiply both sides by V:
V = 95.2/1.19 = 80 cm cubed
Thus, the volume is 80 cm cubed.
Hope this helps!
1. The sides of a triangle measure 6 inches, 10 inches, and 13 inches. What type of triangle is it?
A. right
B. scalene
C. isosceles
D. equilateral
Answer:
Step-by-step explanation:
What is the y-intercept of =1+6x
Answer:
(0,1)
Step-by-step explanation:
Find x first to answer get brainliest
The two angles on the bottom form a right angle so they need to equal 90 degrees.
X = 90 - 35
X = 55 degrees.
Answer:
x=55
Step-by-step explanation:
The angles x and 35 are complementary, or add to 90 degrees
x+35=90
Subtract 35 from both sides
x=55
*
25 points
Captionless Image
A
B
C
D
Answer:
c
Step-by-step explanation:
The correct option is Option B: is an A.P., because d = 10
What is an Arithmetic Progression?An arithmetic progression, also known as an arithmetic sequence, is a sequence of numbers in which the difference between consecutive terms is constant. This constant difference is called the common difference and is denoted by 'd'.
The given sequence is:
-5, 5, 15, 25, ....
In every Arithmetic Progression (A.P.)
The common difference d
d= 2nd term - 1st term = 3rd term - 2nd term
d = 5-(-5) = 15 - 5
d = 10
Hence the common difference is 10,
Therefore the sequence is an A.P., because d = 10
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The correct question
The sequence: -5, 5, 15, 25, ...
A. is not an A. P.
B. is an A.P., because d = 10
C. is an A.P because d = 5
D is an A. P., because d = -10
Which algebraic expression has like terms?
o 9n - 2n+3-4n
O 7n2+3n-3-6172
O 7n2 +4n-37 – 512
O 67° -4n4+67-512
Answer:
The third choice
On a map the scale is shown as 0.5 inches equaling 15 miles. If two towns
are 2.25 inches apart on the map, what is the distance in miles between
the towns?
Answer:
The distance in miles between the towns is 67.5.
Step-by-step explanation:
Given:
On a map the scale is shown as 0.5 inches equaling 15 miles.
If the distance are 2.25 inches apart on the map between the towns .
Now, to find the distance in miles between the towns.
The distance on the map between the towns = 2.25 inches.
Let the actual distance between the two towns be [tex]x.[/tex]
The scale of the map is 0.5 inches equaling 15 miles.
If, 0.5 is equivalent to 15 miles.
Thus, 2.25 is equivalent to [tex]x.[/tex]
Now, to solve using by cross multiplication method:
[tex]\frac{0.5}{15} =\frac{2.25}{x}[/tex]
By cross multiplying we get:
[tex]0.5x=33.75[/tex]
Dividing both sides by 0.5 we get:
[tex]x=67.5\ miles.[/tex]
The actual distance between the two towns = 67.5 miles.
Therefore, the distance in miles between the towns is 67.5.
If a is a rational number and b is an irrational number, then the sum a + b is
Answer:
Sum a + b is irrational
Step-by-step explanation:
Any irrational number plus a rational number is always irrational.
A certain lottery consists of selecting five different numbered balls from numbered 1 to 15 white balls and one from 1 to 14 gold Mega balls. A player wins the jackpot by matching all five numbers drawn from white balls (1 through 15) and matching the number on the gold Mega Ball (1 through 14). What is the probability of winning the jackpot?
Answer:
1/42,042 or 2.38×10^-5
Step-by-step explanation:
Please kindly check the attached files for explanation
Multiply the binomial. To write x2 use "^". X^2
(3x + 2) (x– 4)
Answer:
3x^2-10x-8
Step-by-step explanation:
Evaluate the function.
f(x) = –x^2+ 3x + 13
Find f(-10)
Answer:
-117
Step-by-step explanation:
Plug -10 in every time you see "x". Then, I used a calculator to evaluate the function (find the answer). Then, I got -117.
Hope this helped :)