====================================================
Work Shown:
5% = 5/100 = 0.05
5% of 42 = 0.05*42 = 2.10
tax = $2.10
total cost including tax = $42 + $2.10 = $44.10
----------
An alternative is to multiply 42 by 1.05 to get
1.05*42 = 44.10
We get the same answer. The 1.05 refers to 1 + 0.05 where the "1" is 100% and the 0.05 is 5%, so the two combine to 105%, meaning the total cost is 105% of the cost before tax is considered.
What is the solution to this equation?
X + 14 = -6
[tex]x+14=-6\implies x=-6-14=\boxed{-20}[/tex].
Hope this helps.
Answer:
x= -20
Step-by-step explanation:
x+14=-6
move constant to the right hand side
x=-6-14
x= -20
PLEASE HELP!! this is due today! I will mark the brainliest!
A, B, C or D
(Graph and question are attached)
Answer:
the answer is C
Step-by-step explanation:
Please help!
You spin the spinner twice.
What is the probability of landing on a 4 and then landing on a 4?
Simplify your answer and write it as a fraction or whole number.
Answer: 1/16
Step-by-step explanation: It's important to understand that the two spins are called independent events because the outcome of the first spin does not affect the outcome of the second spin.
To find the probability of independent events, we first find the probability of each event, then we multiply the probabilities together.
Since there is one 4 on the spinner and four possible outcomes, each of which is equally likely, the probability of spinning a 4 is 1/4.
This mens that 1/4 is the probability of
getting a 4 on the second spin too.
Now we multiply.
1/4 x 1/4 gives us 1/16.
So the probability of spinning a 4 twice is 1/16.
Nadia's grades on four quizzes are: 95 75 85 95. What is the median, mode and range of her quizzes?
Answer:
range:20 mode:95 median:90
Step-by-step explanation:
karl read 3 times as many books as martina.how many books did karl read
Answer:
Step-by-step explanation: multiply the number of books Martina read 3 times.
Answer:
mutpliy the number of books martina read by 3
Step-by-step explanation:
The price of a computer was decreased by 7% to £500. What was the price before the decrease? Give your answer to the nearest penny.
The original prize of the computer is £537.63.
The given parameters:
Final prize of the computer, y = £500Percentage decrease in prize, = 7% = 0.07Original prize of the computerThe original prize of the computer is calculated as follows;
Let the original prize of the computer = x
y = x(1 - 0.07)
500 = x(1 - 0.07)
500 = 0.93x
divide both sides by 0.93
[tex]x = \frac{500}{0.93} \\\\x = 537.63[/tex]
Thus, the original prize of the computer is £537.63.
Learn more about percentage discounts here: https://brainly.com/question/1453984
HELP i need this done ASAP!
Answer:
Step-by-step explanation:
The surface area for a cube is [tex]6a^2[/tex] , where a is the length of any side (a cube's sides should all equal the same). Insert values:
[tex]6*6^2\\6*36\\216[/tex]
D=216
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I can't see the triangle's measures
What is the slope of the line that passes through the poiņts (-10, 4) and (-10,8)?
Write your answer in simplest form.
Answer:
Slope is undefined
Step-by-step explanation:
Slope is calculated by [tex]\frac{y1-y2}{x1-x2}[/tex] so now you put the points (-10,4) and (-10,8) into that.
Since both x values are the same you can tell that the line is a vertial line meaning the slope is undefined.
Make x the subject of the formula
6x + a = 5 ( x + t )
(don’t solve it like a normal equation and it isn’t 5t+a)
Answer:
y33urhrhf he ghhrhddbhdjjx
Select the expression that is equivalent to 48 + 12.
6(8 + 6)
12(4 + 1)
4(44 + 3)
8(6 + 4
Answer:
12(4+1)
Step-by-step explanation:
(12×4+12×1)
(48+12)
60
Look I am just going to give you the answer. You don't need to know how YOU got it!
The answer it 12(4+1)!!!!!!!!!!!!!!!!!
hope this is helpful!
Residents of a small city voted on whether
to allow a developer to build a shopping
center. The number of votes in favor of the
shopping center was 3,400. The number of
votes against the shopping center was 15,600.
What percent of the voters were in favor of
building the shopping center?
What percent of the voters were against of
building the shopping center?
Add the two numbers together to find total votes:
3,400 + 15,600 = 19,000 total votes.
Divide votes for by total votes:
3,400 / 19,000 = 0.1789
Multiply by 100:
0.1789 x 100 = 17.89% voted for it.
Subtract the percent that votes for it from 100%
100% - 17.89% = 82.11% voted against it.
The answers probably need to be rounded, so 18% for, and 82% against.
having a small brain moment, can you please help and show work
Answer:
The value if x is 0.9875.
Step-by-step explanation:
First, we have to get rid of brackets by expanding :
[tex]0.5(2x + \frac{3}{4} ) - \frac{1}{3} (0.1 + x) = 1[/tex]
[tex]0.5(2x) + 0.5( \frac{3}{4} ) - \frac{1}{3} (0.1) - \frac{1}{3} (x) = 1[/tex]
[tex]x + \frac{3}{8} - \frac{1}{30} - \frac{1}{3} x = 1[/tex]
Next you have to collect like terms :
[tex]x - \frac{1}{3} x + \frac{3}{8} - \frac{1}{30} = 1[/tex]
[tex] \frac{2}{3} x + \frac{41}{120} = 1[/tex]
Lastly, you can solve x :
[tex] \frac{2}{3} x = 1 - \frac{41}{120} [/tex]
[tex] \frac{2}{3} x = \frac{79}{120} [/tex]
[tex]x = \frac{79}{120} \div \frac{2}{3} [/tex]
[tex]x = \frac{79}{80} [/tex]
[tex] x = 0.9875[/tex]
Please help me... The question is in the picture
Answer:
1/12 ( -x -4 )
Step-by-step explanation:
1/12 ( -x - 4 )
1/12(-x) = -1/12x Multiply 1/12 and -x to get -1/12x.
1/12 x -4 = -1/3 Multiply 1/12 and -4 to get -1/3.
So, therefore, the expression 1/12 ( -x - 4 ) is equivalent to -1/12x - 1/3.
The Figure below shows a triangle with vertices a and B on a circle and vertex C outside it Side AC is tangent to the circle side BC is a sink and intersecting the circle at point X what is the measure of angle ACB
32
6
24
12
Answer:
the answer is 12 degrees
The measure of angle ACB when the secant BC and the tangent AC intersect is 12°
Secant and Tangent intersectionWhen a secant and a tangent meet outside the circle, thwe product of the length of the secant and its external segment equals the square of the length of the tangent segment.
Therefore,
arc XA = 2(64) = 128 degrees.
Hence,
m∠C = 1 / 2 (152 - 128)
m∠C = 1 / 2 (24)
m∠ACB = 12°
Therefore, angle ACB is 12 degrees.
learn more on secant and tangent here: https://brainly.com/question/27248564
In a seventh grade class, 14 out of 30 students are boys. In simplest terms, what is the ratio of the number of boys to the number of girls in this grade?A.7:15B.15:7C.7c:8D.8:15
im lost pls help
Answer:
C
Step-by-step explanation:
14 : 16
7 : 8
boys : girls
Answer:
C
Step-by-step explanation:
If a class has 14 out of 30 students are boys, it has 30 - 14 = 16 girls
ratio of the number of boys to the number of girls means = [tex]\frac{Boys}{girls}[/tex]
Because, firstly it's saying ''boys'' , after ''girls''
Boys = 14 girls = 16
14/16 = 7/8
Hope this helps ^-^
i have 811 handkerchiefs in all and need 25 for one quilt
Answer:
32.44 quilts will be sewn
Step-by-step explanation:
811/25 = 32.44
Answer:
32 quilts with .44 left over
Step-by-step explanation:
This answer is assuming you are trying to find how many quilts you can make
Simplify the expression (3xy-3/5x-2y2)2
6x3y5
—————
5
Step-by-step explanation:
40$ to the markup rate of 65% what is the final price?
Answer:
$66
Step-by-step explanation:
that's the answer I thinkkkk
Jim currently has $1,250 in his bank account and Sally has $1,400 in her bank account. Jim deposits $27.50 per week and Sally deposits $20 per week into her account. After how many weeks will they have the same amount of money? Jim and Sally will have the same amount of money after nothing week(s). (Type an integer or a decimal.)
Answer:
20 weeks.
Step-by-step explanation:
The equations of money deposits of each bankholder as a function of time are, respectively:
Jim
[tex]p_{1} = 1250 + 27.50\cdot t\\[/tex]
Sally
[tex]p_{2} = 1400 +20\cdot t[/tex]
The number of weeks so that both have the same amount of money is:
[tex]1250 + 27.50\cdot t = 1400 + 20\cdot t[/tex]
[tex]7.50\cdot t = 150[/tex]
[tex]t = 20[/tex]
3x=4 How do I solve for X?
Answer:
x=4/3
Step-by-step explanation:
transpose 3 to the lhs
hope this helps
plzz mark me brainliest
Please, someone, help if I don't get everything done ill be in trouble
At a town fair, 9 tickets cost twelve dollars. How many tickets could you expect to receive for eight dollars, assuming there is no discount for buying more tickets?
4
5
6
7
Answer:
6
Step-by-step explanation:
Answer:
C. 6
Step-by-step explanation:
9 tickets --- $12
x tickets --- $ 8
9/12 = x/8
x =8*9/12= 6
What is the volume of the pyramid?
12 in
8 in
10 in
120 in
320 in
480 in
960 in
Answer:
B. 320 inches cubed
Step-by-step explanation:
A pyramid's volume is denoted by: V = (1/3) * B * h, where B is the base area and h is the height.
Here, the base is a rectangle with dimensions 10 inches by 8 inches. The area of a rectangle is denoted by: A = lw, where l is the length and w is the width. The length is 8 and the width is 10, so plug these in:
A = lw
A = 8 * 10 = 80
So, we know that B = 80.
We are also given that the height is h = 12, so plug these values into the volume formula:
V = (1/3) * B * h
V = (1/3) * 80 * 12 = 320
The answer is thus B.
Answer:b
Step-by-step explanation:
y=x²-6x+8 what is y when x is 0?
Answer:
The value of y is 8.
Step-by-step explanation:
In order to find the value of y, you have to put in x = 0 into the equation :
[tex]y = {x}^{2} - 6x + 8[/tex]
Let x = 0,
[tex]y = {0}^{2} - 6(0) + 8[/tex]
[tex]y = 8[/tex]
Rosetta listed her assets and liabilities on a personal balance sheet.
Rosetta’s Balance Sheet (April 2013)
Assets
Liabilities
cash
$900
credit card
$4,000
investments
$1,100
student loan
$2,000
house
$150,000
mortgage
$100,000
car
$8,000
car loan
$5,000
Total
Total
If Rosetta sells her house and pays off the mortgage, how much should she receive (assuming there are no other costs associated with selling the house)?
$42,000
$50,000
$52,000
$60,000
Answer:
$50,000
Step-by-step explanation:
The computation of the amount received after paying off the mortgage is shown below
= Value of the house - mortgage amount
= $150,000 - $100,000
= $50,000
By deducting the mortgage amount from the value of the house we can get the amount received and the same is shown in the computation part
Since in the question it is given that the Rosetta sells her house and paid off mortgage so only these two items are considered and others are to be ignored
Answer:
B.) $50,000
Step-by-step explanation:
Because I said so aaaandddd because its correct the work don't lie.
1. (9t3n5)(-21n?) simplify
Answer:
..............................
Proving the Parallelogram Side Theorem
The proofing that ABCD is a parallelogram can be done through the parallelogram side theorem.
What is the parallelogram side theorem?It should be noted that the parallelogram side theorem simply means that the opposite sides of a parallelogram are equal and also parallel to each other.
Here, BCA and DAC are alternate interior angles. Also, AC denotes the reflexive property. Therefore, BC is the same as DA as they're equal.
Learn more about parallelogram on:
brainly.com/question/20526916
#SPJ2
9/10
of alien races think invading Earth is a bad idea.
What percent of alien races think invading Earth is a bad idea?
Answer: 90%
Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.
So to write 9/10 as a percent, we need to find a fraction
equivalent to 9/10 that has a 100 in the denominator.
We can do this by setting up a proportion.
So we have [tex]\frac{9}{10} = \frac{n}{100}[/tex].
Now, we can use cross-products to find the missing value.
So we have (9)(100) which is 900 is equal to (10)(n) or 10n.
So we have 900 = 10n.
Next, dividing both sides of the equation by 10, we have 90 = n.
So, 9/10 is equal to 90/100 or 90%.
Answer:
90%
Step-by-step explanation:
9/10 times 100 is 90%
I also got it right in Khan. Good luck! Have a nice day :)
Graph the circle (2x - 3)2 + (y + 3)2 =36
Answer: 9 on the x axis and 18 on the y axis
Answer:
[tex]\mathrm{Ellipse\:with\:center}\:\left(h,\:k\right)=\left(\frac{3}{2},\:-3\right),\:\:\mathrm{semi-major\:axis}\:b=6,\:\:\mathrm{semi-minor\:axis}\:a=3[/tex]
Step-by-step explanation:
[tex]\left(2x-3\right)^2+\left(y+3\right)^2=36\\\frac{\left(x-h\right)^2}{a^2}+\frac{\left(y-k\right)^2}{b^2}=1\:\mathrm{is\:the\:ellipse\:standard\:equation}\\\mathrm{with\:center}\:\left(h,\:k\right)\:\mathrm{and\:}a,\:b\mathrm{\:are\:the\:semi-major\:and\:semi-minor\:axes}\\\mathrm{Rewrite}\:\left(2x-3\right)^2+\left(y+3\right)^2=36\:\mathrm{in\:the\:form\:of\:the\:standard\:ellipse\:equation}\\\left(2x-3\right)^2+\left(y+3\right)^2=36\\\mathrm{Rewrite\:as}\\\left(2x-3\right)^2+\left(y+3\right)^2-36=0[/tex]
[tex]\mathrm{Simplify}\:\left(2x-3\right)^2+\left(y+3\right)^2-36:\quad 4x^2-12x+y^2+6y-18\\4x^2-12x+y^2+6y-18=0\\\mathrm{Add\:}18\mathrm{\:to\:both\:sides}\\4x^2-12x+y^2+6y=18\\Factor\:out\:coefficient\:of\:square\:terms\\4\left(x^2-3x\right)+\left(y^2+6y\right)=18\\\mathrm{Divide\:by\:coefficient\:of\:square\:terms:\:}4\\\left(x^2-3x\right)+\frac{1}{4}\left(y^2+6y\right)=\frac{9}{2}\\\mathrm{Divide\:by\:coefficient\:of\:square\:terms:\:}1[/tex]
[tex]\frac{1}{1}\left(x^2-3x\right)+\frac{1}{4}\left(y^2+6y\right)=\frac{9}{2}\\\mathrm{Convert}\:x\:\mathrm{to\:square\:form}\\\frac{1}{1}\left(x^2-3x+\frac{9}{4}\right)+\frac{1}{4}\left(y^2+6y\right)=\frac{9}{2}+\frac{1}{1}\left(\frac{9}{4}\right)\\\mathrm{Convert\:to\:square\:form}\\\frac{1}{1}\left(x-\frac{3}{2}\right)^2+\frac{1}{4}\left(y^2+6y\right)=\frac{9}{2}+\frac{1}{1}\left(\frac{9}{4}\right)\\\mathrm{Convert}\:y\:\mathrm{to\:square\:form}[/tex]
[tex]\frac{1}{1}\left(x-\frac{3}{2}\right)^2+\frac{1}{4}\left(y^2+6y+9\right)=\frac{9}{2}+\frac{1}{1}\left(\frac{9}{4}\right)+\frac{1}{4}\left(9\right)\\\mathrm{Convert\:to\:square\:form}\\\frac{1}{1}\left(x-\frac{3}{2}\right)^2+\frac{1}{4}\left(y+3\right)^2=\frac{9}{2}+\frac{1}{1}\left(\frac{9}{4}\right)+\frac{1}{4}\left(9\right)\\\mathrm{Refine\:}\frac{9}{2}+\frac{1}{1}\left(\frac{9}{4}\right)+\frac{1}{4}\left(9\right)\\\frac{1}{1}\left(x-\frac{3}{2}\right)^2+\frac{1}{4}\left(y+3\right)^2=9[/tex]
[tex]\mathrm{Divide\:by}\:9\\\frac{\left(x-\frac{3}{2}\right)^2}{9}+\frac{\left(y+3\right)^2}{36}=1\\\mathrm{Rewrite\:in\:standard\:form}\\\frac{\left(x-\frac{3}{2}\right)^2}{3^2}+\frac{\left(y-\left(-3\right)\right)^2}{6^2}=1\\\mathrm{Therefore\:ellipse\:properties\:are:}\\\left(h,\:k\right)=\left(\frac{3}{2},\:-3\right),\:a=3,\:b=6\\b>a\:\mathrm{therefore}\:b\:\mathrm{is\:semi-major\:axis\:and}\:a\:\mathrm{is\:semi-minor\:axis}[/tex]
[tex]\mathrm{Ellipse\:with\:center}\:\left(h,\:k\right)=\left(\frac{3}{2},\:-3\right),\:\:\mathrm{semi-major\:axis}\:b=6,\:\:\mathrm{semi-minor\:axis}\:a=3[/tex]
Before sending track and field athletes to the Olympics, the U.S. holds a qualifying meet. The upper box plot shows the top 12 men's long jumpers at the U.S. qualifying meet. The lower box plot shows the distances (in meters) achieved in the men's long jump at the 2012 Olympic games. Which pieces of information can be gathered from these box plots?
Choose all answers that apply:
(Choice A) A The Olympic jumps were farther on average than the U.S. qualifier jumps.
(Choice B) B All of the Olympic jumps were farther than all of the U.S. qualifier jumps.
(Choice C) C The Olympic jumps vary noticeably more than the U.S. qualifier jumps. (Choice D) D None of the above
Nvm too late, its A and B
Answer:
The correct answer is option A and C
Step-by-step explanation:
A box plot is used describes all this information in detail.
The given plot explains how every year the distance covered by athletes is growing. this also indicates that the distance per jump is increased every year by jumpers as well.
Statistical data is given in graphs.
The horizontal and vertical axis is plotted against each other.
Answer:
Its A and C
Step-by-step explanation:
Hold do I solve this
Answer:
(x,y) -> (-y,x)
Step-by-step explanation:
You get the coordinates of the image provided and apply them to the rule so...
(-3,1) to (-1,-3)
(-2,-4) to (-4,2)
(-4,-4) to (4,-4)
Then, connect the points.
PLZ MARK BRAINLIEST!!!