Answer:
$52.03
Step-by-step explanation:
1. Approach
To solve this problem, first one needs to calculate the sales tax, then one must add that to the amount spent on the purchase. To calculate sales tax, one must convert the percent to decimal form, this can be done by dividing the percent by 100. Then one will multiply the decimal by the amount spent.
2. Find the tax
As states above; to calculate sales tax, one must convert the percent to decimal form, this can be done by dividing the percent by 100. Then one will multiply the decimal by the amount spent.
a. convert percent to decimal
8.4 / 100 = 0.084
b. multiply the decimal by the amount spent
48 * 0.084 = 4.032
The amount spent on sales tax is, $4.032
3. Find the total amount spent
Now all one has to do is add the amount spent in tax by the amount spent on the purchase.
48 + 4.032 = 52.032
Since money is only spent rounded to the second decimal point, one has to round the number;
52.03
[tex]3\sqrt{4x^{2} } +2=9[/tex]
solve for x
Answer:
[tex]x[/tex] = [tex]\frac{7}{6}[/tex]
Steps:
3[tex]\sqrt{4x^{2} }[/tex]+2 = 9
3[tex]\sqrt{4x^{2} }[/tex] = 9-2
3[tex]\sqrt{4x^{2} }[/tex] = 7
[tex]\sqrt{4x^{2} }[/tex] = 7 ÷ 3
[tex]\sqrt{4x^{2} }[/tex] = [tex]\frac{7}{3}[/tex]
[tex]4x^{2}[/tex] = [tex](\frac{7}{3})^{2}[/tex]
[tex]4x^{2}[/tex] = [tex]\frac{49}9}[/tex]
[tex]x^{2}[/tex] = [tex]\frac{49}9}[/tex]÷4
[tex]x^{2}[/tex] = [tex]\frac{49}{36}[/tex]
[tex]x^{2}[/tex] = [tex]\frac{49}{36}[/tex]
[tex]x[/tex] = [tex]\sqrt \frac{49}{36}[/tex]
[tex]x[/tex] = [tex]\frac{7}{6}[/tex]
Hope this will help :)
Which of the following is(are) the solution(s) to . |X+6| = 2x - 1?
A. X = -5/3
B. x = 7
c. x=7,-5/3
D. x=-7,5/3
Answer:
B
Step-by-step explanation:
|x+6|=2x+1 = 7
You don't have to mark as brainliest if you don't want to, I'm just happy I got help you!
Is 1/4 greater or less than 1/2
Answer:
it is less
Step-by-step explanation:
Answer:
It is less then bro.
Step-by-step explanation:
1/2 is 50% because it has bigger parts so it amounts to more
1/4 is less because it is divided into more parts so it equals 25%.
SOMEONE PLEASE HELP!!! I’LL MARK BRAINLIEST
Answer:
1st answer a 44
Step-by-step explanation:
Find the area of the circle please
Answer:
A≈149.57
Step-by-step explanation:
Which equation represents a proportional relationship?
y=x+4
y = 4x
y = 4x + 1
y = x-4
Y=4x+1 is the answer to your question
I GIVEEEEE BRAINLILST
Answer:
73.5
Step-by-step explanation:
HOYAAAAAAAAJIIJUJJ
Answer:
........the answer is 73.5
In the children’s game Don’t Break the Ice, small plastic ice cubes are squeezed into a square frame. Each child takes a turn tapping out a cube of "ice" with a plastic hammer, hoping that the remaining cubes don’t collapse. For the game to work the cubes must be big enough so that they hold each other in place but not so big that they are too difficult to tap out. In an SRS of 43 "ice cubes" the average width was 29.5 millimeters with a standard deviation of 0.12mm. Construct a 95% confidence level for the true mean width. Group of answer choices
Answer:
(29.46 mm, 29.54 mm).
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 43 - 1 = 42
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 42 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.018
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.018\frac{0.12}{\sqrt{43}} = 0.04[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 29.5 mm - 0.04mm = 29.46 mm
The upper end of the interval is the sample mean added to M. So it is 29.5 mm + 0.04mm = 29.54 mm
The 95% confidence level for the true mean width is: (29.46 mm, 29.54 mm).
Look at the image for the problem
Answer:
8 inches
Step-by-step explanation:
By pythagoras theorem
u have sides of right angle triangle 10 and 6 and solving it u get third side which is 8 inches
Paula bought a rectangular picture frame. The frame is 20 inches wide and 24 inches long. What is the perimeter of the picture frame?
Answer:
p=88
Step-by-step explanation:
(20*2)+(24*2)=
40+48=
88
Answer:
88cm
Step-by-step explanation:
Perimeter of a rectangle = 2 ( l + b )
Perimeter of Picture frame = 2 ( 24 + 20 )
= 48 + 40
= 88
L
6
K
3
6
6
Find the area of ALKJ.
8
Please help
Answer:
37.5
Step-by-step explanation:
KM^2=LM*MJ(consequence from the similarity of KLM and JLK )
=>36=LM*8
LM=36/8=4.5
=>S=6/2*(8+4.5)=3*12.5=37.5
Let R be the triangular region in the first quadrant with vertices at points (0,0), (a,0), and (0,b), where a and b are positive constants. Write dow the volume of the solid generated when region R is revolved about the x-axis?
Answer:
volume of the solid generated when region R is revolved about the x-axis is π ₀∫^a ( [tex]\frac{-b}{a}[/tex]x + b )² dx
Step-by-step explanation:
Given the data in the question and as illustrated in the image below;
R is in the region first quadrant with vertices; 0(0,0), A(a,0) and B(0,b)
from the image;
the equation of AB will be;
y-b / b-0 = x-0 / 0-a
(y-b)(0-a) = (b-0)(x-0)
0 - ay -0 + ba = bx - 0 - 0 + 0
-ay + ba = bx
ay = -bx + ba
divide through by a
y = [tex]\frac{-b}{a}[/tex]x + ba/a
y = [tex]\frac{-b}{a}[/tex]x + b
so R is bounded by y = [tex]\frac{-b}{a}[/tex]x + b and y =0, 0 ≤ x ≤ a
The volume of the solid revolving R about x axis is;
dv = Area × thickness
= π( Radius)² dx
= π ( [tex]\frac{-b}{a}[/tex]x + b )² dx
V = π ₀∫^a ( [tex]\frac{-b}{a}[/tex]x + b )² dx
Therefore, volume of the solid generated when region R is revolved about the x-axis is π ₀∫^a ( [tex]\frac{-b}{a}[/tex]x + b )² dx
The volume of the solid generated when region R is revolved about the x-axis is [tex]\frac{b^{5} }{3a^{2} }[/tex].
Equation of the line AB
[tex]y-0 = \frac{b-0}{0-a} (x-a)[/tex]
[tex]y = \frac{-b}{a} (x-a)[/tex]
What is the volume generated when a curve f(x) is generated about the x-axis?The volume generated when a curve f(x) is rotated about the x-axis in x∈(c,d) is given by:
[tex]V=\int\limits^d_c {y^2} \, dx[/tex]
So, the volume generated when line AB is rotated about the x-axis will be [tex]V=\int\limits^b_0 ({\frac{-b}{a} (x-a))^2} \, dx[/tex]
[tex]V=\frac{b^{5} }{3a^{2} }[/tex]
Therefore, the volume of the solid generated when region R is revolved about the x-axis is [tex]\frac{b^{5} }{3a^{2} }[/tex].
To get more about volume generation visit:
https://brainly.com/question/20784784
I WILL GIVE BRAINLIST HELP PLEASE
Answer:
area- 55 perimeter - 24
Step-by-step explanation:
small rectangle =
5- 3 = 2
2 × 3 = 6cm²
big rectangle =
4 + 3 = 7
7 × 7 = 49cm²
All together
6 + 49 = 55cm²
Perimeter -
The ratio of blue marbles to green marbles in the box is 13 to 24.
How many marbles are in the box?
Answer:
37
Step-by-step explanation:
13 blue
24 green
pls halp me I suck at math
If you pay the total amount for several items and you do not know the price of some, how do you get the information you need without asking and without seeing the bill?
u get BRIANLIEST and a lotta points owowowowowowowo
Answer:
IM A PLAYA FORGIVE ME LOLOL
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Select the correct answer.
Auroras are lights that appear at Earth's northern and souther
cause of an aurora?
Answer:
Bottom line: When charged particles from the sun strike atoms in Earth's atmosphere, they cause electrons in the atoms to move to a higher-energy state. When the electrons drop back to a lower energy state, they release a photon: light. This process creates the beautiful aurora, or northern lights.
Step-by-step explanation:
Bottom line: When charged particles from the sun strike atoms in Earth's atmosphere, they cause electrons in the atoms to move to a higher-energy state. When the electrons drop back to a lower energy state, they release a photon: light. This process creates the beautiful aurora, or northern lights.
Solve this equation: 3b+3t=11.25
2b+4t=10.00
Answer:
b = 2.5, t = 1.25
Step-by-step explanation:
A hurricane in the Gulf of Mexico takes 15 hours to travel 360 kilometers. What is the average speed of the hurricane in kilometers per hour?
5. Find the common difference or common ratio for the following sequence.
-1,8, 17, 26, ...
Answer:
common difference
d=8-(-1)=8+1=9
or d=17-8=9
or 26-17=9
and so on
Mrs Tham bought z bottles of oil at $7 each. She gave the cashier $50.
[a]Find the change Mrs Tham received in terms of z.
(b) If z = 3, how much change did Mrs Tham receive?
Answer:
She bought 3 bottles of oil, and that would be a total of 21$ of oil so she should have recieved 29.00$ back so no change
Step-by-step explanation:
Which table represents a linear function?
Answer:
the table b...
Step-by-step explanation:
..............
Answer:
The second table represents a linear function.
[tex] |x| |y| \\ 2| 7 \\ 4 | 9 \\ 6 | 11 \\ 8 | 13[/tex]
Find the value of y.
(6x - 13)
(3y + 1)
(8x - 61)
Answer:
y=1/3
Step-by-step explanation:
3y+1=0
3y=-1
3y/3=-1/3
y=-1/3
13. The manager of a clothing store planned to give free turkeys to salespersons selling over $10,000 during the fall harvest sale. Of the 110 salespersons working at the store, only 8 sold over $10,000. What percent of the salespersons received turkeys?
Answer:
7.27% of the salespersons received turkeys
Step-by-step explanation:
Of the 110 salespersons working at the store, only 8 sold over $10,000.
So those earned turkeys.
As a proportion, this is: 8/110 = 0.0727
To find the percentage, we multiply the proportion by 100%. So
0.0727*100% = 7.27%
7.27% of the salespersons received turkeys
5) Rupesh is mowing grass to save money for a vacation. He charges $12 20 poin
per yard. Rupesh already has $40 saved to use on the vacation. Which
inequality can be used to determine how many yards Rupesh needs to
mow in order to have at least $148 to use on vacation? *
a. 40y + 12 < 148
C. 40y + 12 2 148
b. 12y + 40 148
d. 12y + 40 < 148
Answer:
12y+40=148
Step-by-step explanation:
if he charges 12usd for every yard then the money he will make from mowing y number of yards is 12y but he also already has 40 usd saved so we should and that to and we get 12y+40
what is the gcf for 13 and 17
Answer: GCF of 13 and 17 is 1. 2.
Step-by-step explanation: Greatest common factor (GCF) of 13 and 17 is 1. We will now calculate the prime factors of 13 and 17, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13 and 17.
Answer:
1
Step-by-step explanation:
The only number it can be is 1
The ratio of the numbers of Ann's picture cards to the number of Wendy's
picture cards was 7:8. After Wendy gave 8 picture cards to Ann, they each had
the same number of picture cards. How many picture cards did they have
altogether?
Answer: There answer is 53 because of 78-25
Step-by-step explanation:
Find y and simplify completely.
Answer:
Step-by-step explanation:
hello : here is an solution
9514 1404 393
Answer:
y = 6√7
Step-by-step explanation:
Using the geometric mean properties of this geometry, we have ...
y = √((12)(12+9)) = √(12·21) = √(36·7)
y = 6√7
What is a reasonable approximation for angle B if the ratio of the adjacent leg
divided by the hypotenuse is 0.45?
Answer:
60°
Step-by-step explanation:
Cos(60°) = ½
Suppose you want to buy 100 pens. You can buy 100 pens at a 10% discount at one store where the price is $6.99 per pen. And you can also buy 100 pens at a 15% discount at another store where the price is $7.48 per pen.
Required:
a. What is the price per pen at the first store?
b. What is the price per pen at the second store?
c. What is the total price difference for 100 pens?
Answer:
a. $629.10
b. $635.80
c. $6.70
Step-by-step explanation:
The first thing we need to do is turn these percentages into decimal values by dividing them by 100, this would make 10% into 0.10 and 15% into 0.15. Now we can make the following equations to calculate the total by multiplying the 100 pens by the individual pricer per pen, and then multiplying that product by the 1 minus the discount percentage.
A) (100 * 6.99) * (1 - 0.10) = x
699 * 0.90 = x
$629.10 = x
B) (100 * 7.48) * (1 - 0.15) = x
748 * 0.85 = x
$635.80 = x
C) 635.80 - 629.10 = $6.70
The difference is $6.70 more for the 100 pens in the second store.
what is the perimeter of the rectangle below
Answer:
66
Step-by-step explanation:
