Given:
Price of gold in 2001 = (0.5x+300)
Its price tripled in 2008 and then doubled in 2011. In 2016, its price dropped to [tex]\dfrac{2}{3}[/tex] of the price in 2011.
To find:
An expression for the price of gold per ounce in 2016.
Solution:
We have,
Price of gold in 2001 [tex]= (0.5x+300)[/tex]
Its price tripled in 2008.
Price of gold in 2008 [tex]= 3(0.5x+300)[/tex]
Then doubled in 2011.
Price of gold in 2011 [tex]= 2\times 3(0.5x+300)[/tex]
In 2016, its price dropped to [tex]\dfrac{2}{3}[/tex] of the price in 2011.
Price of gold in 2016 [tex]=\dfrac{2}{3}\times 2\times 3(0.5x+300)[/tex]
[tex]=2\times 2(0.5x+300)[/tex]
[tex]=4(0.5x+300)[/tex]
[tex]=4(0.5x)+4(300)[/tex]
[tex]=2x+1200[/tex]
Therefore, the required expression for the price of gold per ounce is (2x+1200).
The cafeteria staff at Bryan County Middle School served 125 sixth graders on the first day of school. Out of the 125 students, 102 of them chose to drink chocolate milk. What decimal represents the fraction of students who did NOT choose to drink chocolate milk?
Answer:
[tex]Fraction = \frac{23}{125}[/tex]
Step-by-step explanation:
Given
[tex]Total = 125[/tex]
[tex]Chocolate = 102[/tex]
Required
Determine fraction who do not drink chocolate
First, we need to determine the number of those who do not drink chocolate
[tex]No\ Chocolate = 125 - 102[/tex]
[tex]No\ Chocolate = 23[/tex]
Their fraction is calculated as thus
[tex]Fraction = \frac{No\ Chocolate}{Total}[/tex]
[tex]Fraction = \frac{23}{125}[/tex]
Triangle PQR and triangle RST are similar right triangles PO
OR represents the Slope of the line PR. Set up an equivalent ratio for the Slope of the line RT. (Use the corresponding sides of triangle RST)
Please show work.
Answer:
[tex] \frac{PQ}{QR} = \frac{-4}{3} [/tex]
Step-by-step explanation:
Given that ∆PQR ~ ∆RST, if [tex] \frac{PQ}{QR} [/tex] gives us the slope of line PR, it will also be equivalent to the slope of line RT, which is given as [tex] \frac{PQ}{QR} [/tex].
Therefore:
[tex] \frac{PQ}{QR} = \frac{RS}{ST} [/tex]
[tex] \frac{PQ}{QR} = \frac{-5 - 3}{2 -(-4)} [/tex]
[tex] = \frac{-8}{2 + 4} [/tex]
[tex] = \frac{-8}{6} [/tex]
[tex] \frac{PQ}{QR} = \frac{-4}{3} [/tex]
Trapezoid G H J K is rotated about G 90 degrees counterclockwise to form trapezoid G prime H prime J prime K prime. Trapezoid G prime H prime J prime K prime is reflected across the line of reflection m to form trapezoid G double-prime H double-prime J double-prime K double-prime.
What is the final transformation in the composition of transformations that maps pre-image GHJK to image G'H"J"K"?
a translation to the right
a reflection across line m
a 90° rotation about point G
a 180° rotation about point G
Answer:
B: A reflection across line m
Step-by-step explanation:
Answer:
A reflection across line m
Step-by-step explanation:
The answer above is correct.
Mr. Friedline is an incredible gardener. He has a
rectangular plot of land that he uses for his garden in his
backyard that measures 74.52 square feet. Recently,
animals have been getting into his garden, so he wants to
put up a fence around the garden. At the Home Depot, the
fence will cost $8.95 for each foot he needs. If the length
of the garden is 8.1 feet, how much will it cost Mr. Friedline
to put a fence around his garden?
Answer:
8.1 x 8.95 = 72.495
Step-by-step explanation:
Feet x $f = $$$
Complete the equation.
X 2 = 2 x 10
Answer:
2√5
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
10x2=20
20x2=40
Jane's garden is 3.4 meters by 6.5 meters. If fencing costs $2.25 per meter, how much will it cost to put fence around her garden?
$49.73
because you would multiply the length and width of the fence then multiply by the price.
3.4 x 6.5 = 22.1
22.1 x 2.25 = 49.725
but you would round because you are dealing with money
Please help me with this !!
Answer:
All of the points would be eight places lower in the y value
Step-by-step explanation:
Lets check by putting 8 in the place of x y= 8^2 which equals 64, that means that y equals 64, then do the second equation y = 8^2 - 8 which equals 56, which means y equals 56, 64 minus 56 equals 8 so they have a difference of 8.
Cylinder A is mathematically similar to cylinder B. The height of cylinder A is 10cm and its surface area is 440cm2 . The surface area of cylinder B is 3960cm2 . Calculate the height of cylinder B
Answer:
[tex]440 = 2\pi {r}^{2} + 2\pi(r)10 \\ [/tex]
[tex]3960 = 2\pi {r}^{2} + 2\pi(r)h[/tex]
[tex] \frac{3960 = 2\pi {r}^{2} + 2\pi(r)h}{440 = 2\pi {r }^{2} + 2\pi(r)10 } [/tex]
[tex]9 = \frac{h}{10} [/tex]
h=90
The height of the cylinder B is 30 cm.
Given that:
Both cylinders A and B are similar. Similarity applies proportionate size which means we have
height of cylinder A : radius of cylinder A :: height of cylinder B: radius of cylinder B
or symbolically we have:
[tex]$\frac{h_1}{r_1} = \frac{h_2}{r_2}$\\[/tex]
or we can say we have:
[tex]r_2 = h_2\times\dfrac{r_1}{h_1} \\[/tex]
Now it is given that Cylinder A's height [tex]h_1[/tex] is 10 cm and surface area is [tex]400\rm \;cm^2[/tex]
Thus from the formula of surface area of cylinder , we have below equation for cylinder A:
[tex]2\pi \times r_1 \times 10 = 440\\or\\r_1 = \dfrac{440}{20\pi}\\\\r_1 \approx 7 \rm\: cm\\\\\\[/tex]
Also given surface area of cylinder B is 3960 [tex]\rm cm^2[/tex], thus:
[tex]2\times \pi\times r_2 \times h_2 = 3960\\\\\2\times\pi\times (h_2\times\dfrac{r_1}{h_1})\times h_2= 3960\\\\2\times\pi\times (h_2\times\dfrac{7}{10})\times h_2 = 3960\\or\\ (h_2)^2 = \dfrac{39600}{2\times\pi\times7}\\\\or\\h_2 = 30 \rm \;cm.[/tex]
Thus height of the cylinder B is 30 cm.
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Ken went to a county fair and spent $5 on admission, $6.50 on games, and $7.21 on food. If he had $30 before he went to the fair, how much money does he have left?
Answer:
11.29 left
Step-by-step explanation:
30 - 5 = 25 - 6.50 = 18.50 - 7.21= 11.29
Answer:
He would have $11. 29 left
Step-by-step explanation:
30-5 =25
25. 00-6.50 = 18.50
18. 50-7.21 = 11.29
what is 30=8+4(z-2) step by step?
30=8+4(z-2)
Distribute 4 through the parentheses
30=8+4z-8
Eliminate the opposites
30=4z
Swap the sides of the equation
4z=30
Divide both sides of the equation by 4
4z÷4=30÷4
Any expression divided by itself equals 1
z=30÷4
or write the division as a fraction
z=30/4
copy the numerator and denominator of the fraction
30=2x3x5
4=2x2
Write the prime factorization of 30
Write the prime factorization of 4
30=2 x3x5
4=2x2
2
Line up the common factors in both lists
Copy the common factors
Since there is only one common factor, the common factor 2 is also the greatest common factor
30÷2/4÷2
2
Divide 30 and 4 by the greatest common factor 2
15/4÷2
Divide the numbers in the numerator
15/2
Divide the numbers in the denominator
15/2
The simplified expression is 15/2
That's it. hope it wasn't too hard to understand?
plz i need help
-16 = - 8v
Answer:
v=-2
Step-by-step explanation:
if v = -2, 8 x -2= -16
(f-g)(x)=
x2+x-4
x2+x+4
Answer:
2x+x+4=3x+4
Step-by-step explanation:
Is 2x + y = 10 linear ?
Answer:
This is a linear equation in slope-intercept form.
Dan has 4 over 5 cup of ice cream. How many 1 over 8 -cup servings are in 4 over 5 cup of ice cream?
A. 6 and 2 over 5
B. 6 and 1 over 2
C. 8 and 2 over 5
D. 8 and 1 over 2
Answer:
it is A
Step-by-step explanation:
you have to do Keep Change Flip on the step one that's on the picture 4 * 8 equals 32 five of the nominator * 1 equals 5 the answer is 32/5 they are asking another way to explain this answer. 6 2/5 is the answer because 5 times 6 =30 plus 2 thats on the top = 32/5
There are 3 blue rings, 4 red rings, and 8 yellow rings. Hint: _:_
(I Need part A, B and C)
Part A: write the ratio of red rings to all rings.
Part B: write the ratio of red rings to blue rings.
Part C: write the simplified ratio of blue rings to all rings.
Answer:
4:15, 4:3, 1:5
Step-by-step explanation:
Part A:
There are 4 red rings and 15 total rings. So, the ratio would be 4 red rings to 15 total rings.
4:15
Part B:
As previously mentioned, there are 4 red rings. There are 3 blue rings. The ratio would be 4 red rings to 3 blue rings.
4:3
Part C:
There are 3 blue rings and 15 total rings. The ratio is 3 blue rings to 15 total rings. This can simplify to 1:5.
3:15 = 3/3:15/3 = 1:5
Hope this helps.
Solve for x
3x - 10 = -9x + 14
Answer: X=2
Step-by-step explanation:
3x-10=-9x+14
+9x +9x
12x-10=14
+10 +10
12x=24
24/12=2
So X=2
Answer:
x=2
Step-by-step explanation:
add 10 to both sides
simplify
add 9x to both sides
simplify 3x+9x to 12x
divide both sides by 12
x=2
How to simplify 80/7
Answer:
[tex]11 \frac{3}{7}[/tex]
Step-by-step explanation:
80 divided by 7 is 11 with a remainder of 3.
Answer:
11 3/7
Step-by-step explanation:
How you get this is you divide 80 from 7. Since it is 11.(So many numbers), you are going to take that number you just got, and multiply it from 7- the number you were dividing. You will get 77. Then you minus it. 80-77 is 3, so your answer would be 11 3/7. Since this can't be reduced more, this is your answer.
Can I please get HELP? ( Picture included)
Answer:
no entiendo la version de esa mathematica
Step-by-step explanation:
Answer:
i think it is 26.
Step-by-step explanation:
180-134=46
180-160=20 so
ABC (46)- XYZ (20)=26.
The phone company charges a flat rate of $25 per month. In addition they charge $0.05 for each minute of service Which equation can be used to determine c, the monthly charge based upon the number of minutes (m) of service each month. C = 25m + 0.05 c = 25m + 0.05 c = 0.05m + 20 c = 0.05m + 20 c = 25m + 0.05 c = 25m + 0.05 m = 0.05c + 30
Answer:
c= 25+0.05m
Step-by-step explanation:
Given that,
The phone company charges a flat rate of $25 per month. In addition they charge $0.05 for each minute of service.
$25 is fixed here and charge $0.05 for each minute of service.
We need to find the equation that can be used to find the monthly charge based upon the number of minutes (m) of service each month.
c= 25+0.05m
Hence, this is the required equation.
Givenl ||
т
Il n, find the value of x.
7
m
(3x-4)
n
(6x+13)°
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[tex](6x + 13) + (3x - 4) = 180[/tex]
[tex]9x + 9 = 180[/tex]
Subtract sides 9
[tex]9x + 9 - 9 = 180 - 9[/tex]
[tex]9x = 171[/tex]
Divide sides by 9
[tex] \frac{9}{9} x = \frac{171}{9} \\ [/tex]
[tex]x = 19[/tex]
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10 x = − 19 Give your answer as an improper fraction in its simplest form.
Answer:
10/19
Step-by-step explanation:
Answer:
-19/10
Step-by-step explanation:
10x= - 19
divide 10 by each side to get -1.9
convert -1.9 to a fraction -1u9/10
then convert it to an improper fraction -19/10
hope this helps;)
can someone help me with theses 6 problems?
Answer: I can help with number 10, and that answer is 105*
Step-by-step explanation: 10's x is paralell to the known angle, so the answer for x is equal to the known angle.
What is -9 over 22 divided by -3 over 4 in fractions?
Answer: 6/11
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
You'll need to make compatible numbers first. Turn 22 to 44 and 4 to 11. Then change -9 to -18 and -3 to -6. -9 times -3 equals 3. and 44 divided by 11 is 4. So your answer is 3/4
Order the numbers from least to greatest. -6.6, 5.8, 6 3/4, 4.45 Explain your steps
Answer:-6.6, 4.45, 5.8, 6 3/4
Step-by-step explanation:
help me solve for the red variable
Answer:
i just need points
Step-by-step explanation:
URGENT! The flag of a country contains an isosceles triangle. (Recall that an isosceles triangle contains two angles with the same measure.) If the measure of the third angle of the triangle is 20 ° more than the measure of either of the other two angles, find the measure of each angle of the triangle. (Recall that the sum of the measures of the angles of a triangle is 180°.)
decorative image
Answer: [tex]53\frac{1}{3}[/tex]
Step-by-step explanation:
(x+20)+2x
x = 53.333333
standard form help me
Solve x + 9 = 15 O x = 6 O x = -8
Answer:
x = ± √15
Step-by-step explanation:
x 2 - 15 + 15 = 0 + 15
√ x 2 = ± √15
x = ± √15
Which rational number is larger 5/4 or 1/4
Answer:
5/4
Step-by-step explanation:
Yeeeeeeeeeeeeeeeeeeeeeeee
Answer:
5/4
Step-by-step explanation:
HELPPPP ASAPPPP New visitors to a certain website have a 0.10 probability of creating an account on their first visit. Let V be the number of new visitors who visit the site until the first one of them creates an account. Assume that each visitor's decision to create an account is independent.
Find the probability that the 6th new visitor is the first to create an account.
Round your answer to the nearest thousandth.
Answer:
0.07
Step-by-step explanation:
The probability that the 6th new visitor is the first to create an account is approximately 0.059.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
The probability of success (creating an account) on any given trial is p = 0.10, and the probability of failure (not creating an account) is q = 1 - p = 0.90.
The probability that the first success occurs on the 6th trial is then given by:
P(V = 6) = (q⁵) * p
where q⁵ is the probability of having 5 failures in a row (i.e., the first 5 visitors not creating an account), and p is the probability of the 6th visitor creating an account.
Plugging in the values,
P(V = 6) = (0.90⁵) * 0.10 = 0.059049
Rounding to the nearest thousandth,
P(V = 6) ≈ 0.059
Therefore, the probability that the 6th new visitor is the first to create an account is approximately 0.059.
Learn more about probability here:
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