Answer:
no
Step-by-step explanation:
5x - 3 = 12
5x=12+3
x=15/5=3
x=3
substitute x with 7 to find if it is a solution :
5(7)-3=12
35-3 ≠12 ( so no 7 is not a solution)
on a map, the distance between jacksonville FL and tallahasse FL is about 5 inches. According to the scale, 1 inch represents 25 miles. About how far apart are these two cities?
Mathematical Connections The triangle shown
is isosceles. Find the length of each side and the
perimeter.
#14
--------------------------------------
If a triangle is isosceles, it means that two sides have equal measures.The perimeter of a polygon is the sum of the lengths of all its sides.--------------------------------------
Value of n:
The two legs have the same length.One is [tex]5n - 17[/tex], and the other is [tex]2n + 1[/tex], thus:[tex]5n - 17 = 2n + 1[/tex]
[tex]5n - 2n = 1 + 17[/tex]
[tex]3n = 18[/tex]
[tex]n = \frac{18}{3}[/tex]
[tex]n = 6[/tex]
--------------------------------------
Lengths:
The lengths are given as functions of n, since n = 6:
[tex]5n - 17 = 5(6) - 17 = 30 - 17 = 13[/tex][tex]2n + 1 = 2(6) + 1 = 12 + 1 = 13[/tex][tex]n = 6[/tex]The length of the sides are: 13 cm, 13 cm and 6 cm.
--------------------------------------
Perimeter:
The perimeter is the sum of the lengths of all sides, so: 13 + 13 + 6 = 32 cm.
A similar question is given at https://brainly.com/question/6139098
What is the result of rounding 8,888,888 to the nearest ten?
Answer:
8,888,890
Step-by-step explanation:
yup yup
A man lends 12,500 at 12% for the first
year, at 15% for the second year and at 18%
for the third year. If the rates of interest are
compounded yearly; find the difference
between the C.I. of the first year and the
compound interest for the third year.
Answer: $1398
Step-by-step explanation:
Given , Principal (P) = $12,500
Rate of interest for 1st year [tex](R_1)[/tex]= 12% =0.12
Rate of interest for 2nd year [tex](R_2)[/tex]= 15% =0.15
Rate of interest for 3rd year [tex](R_3)[/tex]= 18% =0.18
Interest for first year = [tex]I=P\times R_1\times T[/tex]
= [tex]12500\times 0.12\times 1[/tex]
= $1500
Now, For second year new principal [tex]P_2 = \$12,500+\$1,500 =\$14,000[/tex]
Interest for second year = [tex]I=P_2\times R_2\times T[/tex]
= [tex]14000\times 0.15\times 1[/tex]
= $2100
Now, For third year new principal [tex]P_3 = \$14000+\$2,100 =\$16,100[/tex]
Interest for third year = [tex]I=P_3\times R_3\times T[/tex]
= [tex]16100\times 0.18\times 1[/tex]
= $2898
Difference between the compound interest of the first year and the compound interest for the third year. = $2898 - $1500 = $1398
Hence, the difference between the compound interest of the first year and the compound interest for the third year is $1398 .
Helppppp!!!! Thank you
Greetings from Brasil...
In a triangle the sum of the internal angles is 180 °.... Thus,
Ô = 180 - 30
Ô = 60
The desired area is the area of the rectangle triangle, minus the area of the circular sector whose angle 60
A1 = area of the rectangle triangle
TG B = OA/AB
AB = OA / TG B
AB = 6 / TG 30
AB = 6√3
A1 = (AB . OA)/2
A1 = (6√3 . 6)/2
A1 = 18√3A2 = area of the circular sector
(rule of 3)
º area
360 ------------ πR²
60 ------------ X
X = 60πR²/360
X = 6π
So,
A2 = 6πThen the area shaded is:
A = A1 - A2
A = 18√3 - 6πcual es el area de un rectangulo
Answer:
Use this formula:
a = b * h
Where: "a", the area of the rectangle is equal to its "b" (base), multiplied by "h" (height)
Step-by-step explanation:
Usa esta formula:
a = b * h
Donde: "a", el área del rectángulo es igual a su "b" (base), multiplicado por "h" (su altura).
Diego and Max are buying soft drinks for a neighborhood picnic. Each person is
expected to drink one can of soda. Diego says that if you multiply the unit price for a
can of soda by the number of people attending the picnic, you will be able to
determine the total cost of the soda. Max says that if you divide the cost of a 12-
pack of soda by the number of sodas, you will determine the total cost of the sodas.
Which choices best illustrates who is correct and why?
Max is incorrect because he calculated the cost of one can of soda
Diego is incorrect because he calculated the price of one can of soda
Max is correct because the total cost divided by the number of sodas gives you
the total cost of the sodas
Answer:
D. Diego is correct because the price of one can of soda multiplied by the number of sodas needed will give you the total cost of the soda.
Step-by-step explanation:
Each person is
expected to drink one can of soda.
Let p=price of each soda
q=number of people in the picnic
Total cost of soda=price of each soda × Total people attending the picnic
Total cost of soda=p×q
Diego says that if you multiply the unit price for a can of soda by the number of people attending the picnic, you will be able to
determine the total cost of the soda.
Max says that if you divide the cost of a 12-pack of soda by the number of sodas, you will determine the total cost of the sodas
A. Max is incorrect because he calculated the cost of one can of soda
B. Diego is incorrect because he calculated the price of one can of soda
C. Max is correct because the total cost divided by the number of sodas gives you the total cost of the sodas
D. Diego is correct because the price of one can of soda multiplied by the number of sodas needed will give you the total cost of the soda.
Find the value of x to the nearest degree.
A. 35
B. 28
C. 51
D. 55
Answer:
A
Step-by-step explanation:
First, we are already given the sides adjacent and opposite to ∠x. Therefore, we can use the tangent function. Recall that:
[tex]\tan(x)=opp/adj[/tex]
The opposite side is 20 while the adjacent side is 14.
Plug in the numbers. Use a calculator:
[tex]\tan(x)=20/14=10/7\\x=\tan^{-1}(10/7)\\x\approx55.0080\textdegree\approx55\textdegree[/tex]
Edits: Improved Answer. Removed Wrong Answer.
Answer:
55
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp/ adj
tan x = 20/14
Taking the inverse tan of each side
tan ^-1 tan x = tan ^ -1 (20/14)
x =55.0079798
To the nearest degree
x = 55
Help anyone can help me do this question,I will mark brainlest.
Answer:
Hello,
Step-by-step explanation:
Loi d'Ohm: U=R*I
a) U=20*0.5=10 (amp)
b) I=U/R=50/0.5=100 (amp)
high reward low risk claim ur prize and help with math
the two lines are parallel, the angle they make should be equal and one angle is common so the triangles are similar by AAA.
Now the ratio of sides are [tex] \frac{20+8}{20}=\frac{x+18}{x}[/tex]
use divideno, [tex]\frac8{20}=\frac{18}x[/tex]
and then inverse the whole equation to get [tex]x=20\times\frac{18}{8} \implies x= 45[/tex]
Answer:
[tex]\Large \boxed{\mathrm{B) \ 45}}[/tex]
Step-by-step explanation:
We can solve the problem using ratios.
[tex]\displaystyle \frac{x}{20} =\frac{x+18}{20+8}[/tex]
Cross multiply.
[tex]20(x+18)=x(20+8)[/tex]
Expand brackets.
[tex]20x+360=28x[/tex]
Subtract 20x from both sides.
[tex]360=8x[/tex]
Divide both sides by 8.
[tex]45=x[/tex]
90 POINTS! HELP ASAP! Using one of the figures below, explain a strategy for calculating the area of the irregular polygon.
Answer:
area of polygon = 88 sq. units
Step-by-step explanation:
lets make it simple, short and accurate.
area of polygon = total area - total area of triangles
total area = 11 * 12 = 132
triangle 1 = 1/2 * 5 * 5 = 12.5
triangle 2 = 1/2 * 3 * 6 = 9
triangle 3 = 1/2 * 3 * 8 = 12
triangle 4 = 1/2 * 3 * 7 = 10.5
total area of triangle = 12.5 + 9 + 12 + 10.5 = 44
area of polygon = 132 - 44 = 88 sq. units
Answer:
The area of the irregular polygon:
88 units²
Step-by-step explanation:
The irregular polygon is insert in a rectangle
The strategy is:
1 - calculate the rectangle total area
2- calculate the area of each right triangle
3.- substracte the total area of the 4 right triangles from the area of the rectángule
then:
1.-
Ar = 12*11 = 132 units²
Ar = rectangle area
2.-
At₁ = (5*5)/2 = 25/2 = 12.5 units²
At₂ = (6*3)/2 = 18/2 = 9 units²
At₃ = (7*3)/2 = 21/2 = 10.5 units²
At₄ = (8*3)/2 = 24/2 = 12 units²
At total = 12.5 + 9 + 10.5 + 12 = 44 units²
At = right triangle areas
3.-
Ap = 132 - 44 = 88 units²
Find the distance across the lake. Assume the triangles are similar.
80 m
х
у
20 m
60 m
Answer:
a
Step-by-step explanation:
Answer:
A. L = 240 m
Step-by-step explanation:
use similar triangle
L / 60 = 80 / 20
L = (80 * 60) / 20
L = 240 m
This diagram is a straightedge and compass construction. A is the center of one circle,
and B is the center of the other. Explain how we know triangle ABC is equilateral.
ABC is a equilateral triangle .
Proof :-
Let's assume both circles as C1 and C2 [ as shown in the figure ]
AB is the radius of circle C1 AB is the radius of Circle C2AC is the radius of circle C1.
BC is the radius of circle C2 .
AB and AC both are radius of circle C1 so both are equal ie AB = AC .
AB and BC both are radius of circle C 2 so both are equal ie AB = BC .
Hence we conclude that .
AB = BC = AC.
So the triangle is equilateral triangle.
PLEASE HELP I WILL GIVE BRAINLIEST Complete the frequency table: Method of Travel to School Walk/Bike Bus Car Row totals Under age 15 60 165 Age 15 and above 65 195 Column totals 152 110 98 360 What percentage of students under age 15 travel to school by car? Round to the nearest whole percent. 11% 18% 41% 80%
Answer:
11%
Step-by-step explanation:
1. Fill out the table with the correct numbers.
2. After you fillout the numbers, you should notice that under the column car and in the first row, there should be the number 18.
3. We know the total number of students under the age of 15 is 165.
4. To find the percent:
18/165 * 100
= 11%
Answer:
41%
Step-by-step explanation:
Look at the column "Age 15 and above".
Notice how the row total for that column is 195.
Also, look at "Bus".
Notice how there is a gap between 60 and 110.
To calculate the answer, you need to fill in the blanks using the surrounding numbers.
60 + 50 = 110, so to the right of "65" on "Age 15 and above", there should be a 50.
The "195" at the end of the row is now on the same row as the numbers: 65, 50, and a blank spot.
Now, all we have to do is simply ask ourselves what 65 + 50 gets us, and what we need to add to that to get 195.
65 + 50 = 115, 115 + 80 = 195.
Although, notice that this does not mean the answer is not 80%.
We need to find what percentage is 80 out of 195.
80 out of 195 = 41.03%.
By rounding, we will get an answer of 41%.
choose the answer based on the most efficient method. if the first step in the equation " -9 + x = 5x - 7" is subtract x, what should the next step be
Answer:
add 7 to both sides
Step-by-step explanation:
This is so because we are trying to solve the equation by seperating the variables from the real numbers. So as they remove all variables from the left side of the equation, we should remove any remaining numbers that are on the right side of the equation.
Hope this helps!
What is 12.5% of 72
Answer:
[tex]\boxed{9}[/tex]
Step-by-step explanation:
[tex]\sf of \ refers \ to \ multiplication.[/tex]
[tex]12.5\% \times 72[/tex]
[tex]\frac{12.5}{100} \times 72[/tex]
[tex]\sf Multiply.[/tex]
[tex]\frac{900}{100} =9[/tex]
which one is irrational?
Basically everything but choice C
==========================================
Explanation:
sqrt is shorthand for square root
sqrt(4) = 2 = 2/1 showing that sqrt(4) is rational. We can write it as a fraction of two whole numbers, where 0 is not in the denominator.
-------
In contrast, we cannot write sqrt(2), sqrt(3), or sqrt(5) as a fraction of two whole numbers. Using your calculator, note how
sqrt(2) = 1.4142135623731
sqrt(3) = 1.73205080756888
sqrt(5) = 2.23606797749979
all of those decimal expansions go on forever without any pattern, which is a sign that those numbers are irrational. If they were rational, then a pattern would repeat at some point or the decimals would terminate at some point.
Answer:
a, b, d are irrational
Step-by-step explanation:
root 2 = 0.414.....
root 3 = 0.732.....
root 5 = 2.236.....
Hope this helps.....
Pls mark my ans as brainliest
If u mark my ans as brainliest u will get 3 extra points
The length of a rectangle is seven inches more than its width. Its area is 540 square inches. Find the width and
length of the rectangle.
Answer: 20 is the width and 27 is length
A rectangle has an area of 21x+81. If the width is 3 units, what is the length of the rectangle
Answer:
(7x + 27) units
Step-by-step explanation:
A rectangle is a quadrilateral (has four sides) in which opposite sides are equal and parallel, also all the angles are equal. The area of a rectangle is given as:
Area = Length × Width
Given that the area of the rectangle is 21x + 81 and the width is 3 unit, to find the length of the rectangle, we have to use the formula of the area and then get the length. Therefore:
Area = Length × Width
21x + 81 = Length × 3
Length = (21x + 81) /3
Length = 7x + 27
The length of the rectangle is 7x + 27 units
Evaluate the expression for x=-5,y=-7, and z=9
Answer:
Is 11
Step-by-step explanation:
x+(-y)+z —> -5 +(+7)+9 = -5+7+9 = 11
The graph of y=x^2 - 2x- 3 is shown above. What are the zeros and factors of y=x^2 - 2x -3
A. X=1 and x = -3;(x-1)(x+3)
B. X=-1 and x = -3;(x+1)(x+3)
C. X=1 and x = -3;(x-1)(x-3)
D. X=-1 and x = -3;(x+1)(x-3)
Answer:
zeros -1,3 and the factors ( x+1) (x-3)
Step-by-step explanation:
The zeros are where it crosses the x axis
It crosses at x=-1 and x=3
So the factors are ( x- -1) and ( x-3)
( x+1) (x-3)
Answer:
[tex]\boxed{x = -1, \ x = 3 \ \ ( x+1) (x-3)}[/tex]
Step-by-step explanation:
Zeros of the function:
The zeros of a function is when the y value is 0 or where the function crosses the x-axis.
The function crosses the x-axis at x = -1 and x = 3.
Factors of the function:
[tex]y=x^2 - 2x- 3[/tex]
Factor the right side.
[tex]y=x^2 +1x-3x- 3[/tex]
[tex]y=x(x +1) -3(x+1)[/tex]
Take (x + 1) common.
[tex]y=(x+1)(x-3)[/tex]
The factors are (x + 1) and (x - 3).
HELLLLPPPPP PLZZZZ!!!!
Answer:
width = 5 ft
Step-by-step explanation:
1.9 times of width = length
1.9*w = 9.5 ft
1.9w = 9.5
Divide both sides by 1.9
w = 9.5/1.9
w = 5 ft
Answer:
1.9w=9.5
w=width
1.9(w)=9.5
1.9(5)=9.5
Width(w)=5
2(-n - 3) - 7(5+ 2n)
Answer:
-16n-41
Step-by-step explanation:
2(-n-3)-7(5+2n)
Distribute
-2n-6-35-14n
Combine like terms
-16n-41
Hope this helps!
40% of 1000 pls answer and ill mark you brainliest
Answer:
400
Step-by-step explanation:
THE answer is 400 FILLER FILLER FILLER :)))))))))
Answer:
400
Step-by-step explanation:
1000 times 4 =4000 and 4000 and then take off a zero
Sketch the graphs y=1/3x+2
Answer:
mark a dot 2 on the y axis and from there go up one right 3 until you can anymore then go back to the two and go down one left 2
Step-by-step explanation:
help asap will give 10 points
Answer:
FALSE
Step-by-step explanation:
The properties of exponents tells us that
[tex]9^9\ \ *\,\,9^{-20}\,=\,9^{9-20}\,=9^{-11}[/tex]
Answer:
False
Step-by-step explanation:
[tex](9 {}^{9} ) \times (9 {}^{ - 20}) = 9 {}^{9 + ( - 20)} = 9 {}^{9 - 20} = 9 {}^{ - 11} [/tex]
Hope this helps ;) ❤❤❤
Find the area of the semicircle. diameter = 12
Answer:
[tex]\huge\boxed{\sf Area\ of \ Semicircle = 56.55 \ units^2}[/tex]
Step-by-step explanation:
Diameter = 12
Radius = 12/2 = 6
[tex]\sf Area\ of \ Semicircle =\frac{\pi r^2}{2} \\Area\ of \ Semicircle =\frac{\pi (6)^2}{2} \\Area \ of \ Semicircle = \frac{\pi (36)}{2}\\ Area \ of \ Semicircle = 18 \ pi[/tex]
[tex]\sf Area\ of \ Semicircle = 56.55 \ units^2[/tex]
Answer:
18π units²
Step-by-step explanation:
(see attached for reference)
Recall that the area of a whole circle is given by:
A = (π/4) D²,
where D is the diameter of the circle.
We know that the area of a semi-circle is half the area of a whole circle.
Therefore,
Area of Semi Circle
= (1/2) x area of whole circle
= (1/2) x (π/4) D² (Substitute D = 12 units)
= (1/2) x (π/4) (12)²
= 18π units²
Geometry, please answer question ASAP
can someone explain mean and median to me?
Answer:
Mean is obtained by adding of all of the term values by the number of terms in a given set of data. Mean is also called "average".
Median on the other hand is the arrangement of numerical data in chronological order from least to greatest and finding the middle number from that arranged set of data.
The average annual amount American households spend for daily transportation is $6312 (Money, August 2001). Assume that the amount spent is normally distributed.a. Suppose you learn that 5% of American households spend less than $1000 for dailytransportation. What is the standard deviation of the amount spent?b. What is the probability that a household spends between $4000 and $6000?c. What is the range of spending for the 3% of households with the highest daily transportationcost?
Answer:
(a) The standard deviation of the amount spent is $3229.18.
(b) The probability that a household spends between $4000 and $6000 is 0.2283.
(c) The range of spending for 3% of households with the highest daily transportation cost is $12382.86 or more.
Step-by-step explanation:
We are given that the average annual amount American households spend on daily transportation is $6312 (Money, August 2001). Assume that the amount spent is normally distributed.
(a) It is stated that 5% of American households spend less than $1000 for daily transportation.
Let X = the amount spent on daily transportation
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = average annual amount American households spend on daily transportation = $6,312
[tex]\sigma[/tex] = standard deviation
Now, 5% of American households spend less than $1000 on daily transportation means that;
P(X < $1,000) = 0.05
P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{\$1000-\$6312}{\sigma}[/tex] ) = 0.05
P(Z < [tex]\frac{\$1000-\$6312}{\sigma}[/tex] ) = 0.05
In the z-table, the critical value of z which represents the area of below 5% is given as -1.645, this means;
[tex]\frac{\$1000-\$6312}{\sigma}=-1.645[/tex]
[tex]\sigma=\frac{-\$5312}{-1.645}[/tex] = 3229.18
So, the standard deviation of the amount spent is $3229.18.
(b) The probability that a household spends between $4000 and $6000 is given by = P($4000 < X < $6000)
P($4000 < X < $6000) = P(X < $6000) - P(X [tex]\leq[/tex] $4000)
P(X < $6000) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{\$6000-\$6312}{\$3229.18}[/tex] ) = P(Z < -0.09) = 1 - P(Z [tex]\leq[/tex] 0.09)
= 1 - 0.5359 = 0.4641
P(X [tex]\leq[/tex] $4000) = P( [tex]\frac{X-\mu}{\sigma}[/tex] [tex]\leq[/tex] [tex]\frac{\$4000-\$6312}{\$3229.18}[/tex] ) = P(Z [tex]\leq[/tex] -0.72) = 1 - P(Z < 0.72)
= 1 - 0.7642 = 0.2358
Therefore, P($4000 < X < $6000) = 0.4641 - 0.2358 = 0.2283.
(c) The range of spending for 3% of households with the highest daily transportation cost is given by;
P(X > x) = 0.03 {where x is the required range}
P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{x-\$6312}{3229.18}[/tex] ) = 0.03
P(Z > [tex]\frac{x-\$6312}{3229.18}[/tex] ) = 0.03
In the z-table, the critical value of z which represents the area of top 3% is given as 1.88, this means;
[tex]\frac{x-\$6312}{3229.18}=1.88[/tex]
[tex]{x-\$6312}=1.88\times 3229.18[/tex]
x = $6312 + 6070.86 = $12382.86
So, the range of spending for 3% of households with the highest daily transportation cost is $12382.86 or more.