Answer:
The original price was $43.50
Step-by-step explanation:
Let
x ----> the original price of a video game
we know that
1) The price of a video game increases by 20%
so
[tex]100\%+20\%=120\%=120/100=1.20[/tex]
The final price is equal to the original price multiplied by 1.20
so
[tex]1.20x[/tex]
2) The price of a video game decreases by 10%
so
[tex]100\%-10\%=90\%=90/100=0.90[/tex]
The final price is equal to the price at this moment multiplied by 0.90
so
[tex]0.90(1.20x)=1.08x[/tex]
we have that
[tex]1.08x=46.98[/tex]
solve for x
[tex]x=46.98/1.08\\x=\$43.50[/tex]
1. 9x + 16 = 4x - 19
Answer:
x=-7
Step-by-step explanation:
9x + 16 = 4x - 19
Subtract 4x from each side
9x-4x + 16 = 4x-4x - 19
5x+16 = -19
Subtract 16 from each side
5x+16 -16 = -19-16
5x = -35
Divide each side by 5
5x/5 = -35/5
x = -7
Answer:
x = -7
Step-by-step explanation:
solvein order to solve this , make x the subject of formula:
9x + 16 = 4x - 19
9x + 16 - 4x = -16
5x = -19 - 16
5x =-35
x = -35 / 5
x = -7Solve and graph on a number line the solution to f+4 is less than or equal to 15
Answer:
[tex]f+4\leq 15[/tex] solves to [tex]f\leq 11\\[/tex] and ill provide graph below
Step-by-step explanation: hope i helped have a great day!
What’s the answer to this ?
Answer:
2/5
Step-by-step explanation:
The unit rate is: change in y over change in x
This graph goes up 2 and moves to the right 5, that means it is 2/5
Answer: 2/5
Which number is irrational?
49√
17√
0.06¯¯¯
1/6
The 0.06 is repeating
Answer: the square root of 17 is irrational.
Step-by-step explanation:
17 can not be divided evenly therefor it is irrational
if the area of the circle measures 9/4 Pi sq cm square what is the circumference of the circle in the terms of Pi
Answer:
c = 3πcm
Step-by-step explanation:
from the question area of the circle is given to b 9/4 πcm²
circumference of the circle in terms of π = ?
the formula for finding the Area of a circle = πr²
Since the area was given to be
(9/4)π = πr²
divide both sides by π
we have
9/4 = r²
we apply the cross multiplication rule
so we have,
4r² = 9
divide both sides by 4
r² = 9/4
r = √9/4
r = 3/2
now to find the circumference of the circle , we apply the formula for finding the circumference of a circle which is
c = 2πr
from our calculations radius r = 3/2
c = 2 ( π × 3/2) [ 2 cancels 2]
c = 3πcm
what is extrema for f(x)= x^2-18x+19
Answer:
To find the minimum/maximum or the graph or the vertex is (9,-62)
Alexandra and her children went into a grocery store and she bought $7.65 worth of
apples and bananas. Each apple costs $1.75 and each banana costs $0.40. She bought
a total of 9 apples and bananas altogether. Determine the number of apples and the
number of bananas that Alexandra bought.
Answer:
[tex]\large \boxed{\text{3 apples and 6 bananas}}[/tex]
Step-by-step explanation:
Let a = the number of apples
And b = the number of bananas. Then,
[tex]\begin{array}{rcll}(1) \, 1.75a + 0.40 b & = & 7.65&\\(2)\, \, \, \, \quad \qquad a + b & = &9&\\(3) \, 0.40a + 0.40b & = &3.60&\text{Multiplied (2) by 0.40}\\1.35a & =&4.05\\(4) \, \, \quad \qquad \qquad a & =& \mathbf{3}&\text{Divided each side by 1.35}\\3 + b & = &9& \text{Substituted(4) into (2)}\\b &=& \mathbf{6}&\text{Subtracted 3 from each side}\\\end{array}\\\text{They bought $\large \boxed{\textbf{3 apples and 6 bananas}}$}[/tex]
Check:
[tex]\begin{array}{cccl}3(1.75) + 6(0.40) = 7.65 & \qquad & 3 + 6 = 9\\5.25 + 2.40 = 7.65 & \qquad & 9 = 9\\7.65 = 7.65 & \qquad & \\\end{array}[/tex]
OK.
Alexandra bought 3 apples and 6 bananas
Number of apples = a
Number of bananas = b
From the information given, the equation to use will be:
a + b = 9 ....... i
1.75a + 0.40b = 7.65 ...... ii
From equation i, a = 9 - b ...... iii
Put equation iii into ii
1.75a + 0.40b = 7.65
1.75(9 - b) + 0.4b = 7.65
15.75 - 1.75b + 0.4b = 7.65
Collect like terms
-1.75b + 0.4b = 7.65 - 15.75
-1.35b = -8.1
b = 8.1/1.35
b = 6
She bought 6 bananas
Number of apples bought = 9 - 6 = 3 apples.
Therefore, Alexandra bought 3 apples and 6 bananas
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A temperature 20°C above
freezing
PLEASE HELP! 30 PTS!! Explain how to find the height of this rectangular prism, given a volume of 360 in.3, a length of 24 in., and a width of 3 in.
Answer:
The height is 5 in
Step-by-step explanation:
V = l*w*h
Substitute in what we know
360 = 24 *3*h
360 = 72h
Divide each side by 72
360/72 = 72h/72
5 = h
The height is 5 in
Answer:
The height is 5 inches
Step-by-step explanation:
Knowing that he volume of a rectangular prism is V = L*W*H, it is given that V = 360, L = 24, and W = 3. Substitute these values into the equation and get 360 = 24*3*H. This can simplify to 360 = 72*H and by dividing both sides by 72, you get H = 5. This means that he height is 5 inches.
McGruff building company is in charge of building a new hotel.The owner of the hotel tells the company that the ratio of one persons rooms to two persons rooms should be 2:3.If the company has built 36 two persons rooms, how many one persons rooms must they build to have the correct ratio of rooms?
Answer:
24
Step-by-step explanation:
4- x2 =-32
The equation above is true for what value of x, where
x>0?
Answer:
x= -6
Step-by-step explanation:
first you want to get rid of the 4 so on both sides you subtract 4
4-x²=-32
-4 -4 that will then make the problem
-x²= -36 to get rid of the square you must do the opposite, square root ([tex]\sqrt{36}[/tex]) so it will get rid of the ²
-x= 6 then you have to get rid of the neggative on x so you will add a negative to 6
x=-6
solve for x
x-31=-90
show how you got the answer
Answer:
x= -59
Step-by-step explanation:
x-31=-90
Adding 31 to both sides we get
x-31+31=-90+31
x=-59
Answer:
x-31=-90
add 31 to both sides
x - 31 + 31 + = -90
simplify:
x = -59
Step-by-step explanation:
Suppose the radius of a cylinder changes, but its volume stays the same. How must the height of the cylinder change?
Answer:The radius and height of a right cylinder are each doubled What is the change in the volume of the cylinder
In order to find the volume of a cylinder, you would use the formula V=3.14*r2*h. In the formula, the radius is being squared. That means that doubling the radius of the cylinder will quadruple the volume. For example, let's say we have a cylinder with a radius of 2 inches and height of 3 inches.
Step-by-step explanation:
the height must decrease
Step-by-step explanation:
Michael, Trina, and Vanessa work together to mow lawns in their neighborhood. Michael mowed 8 lawns in 3 days, Trina mowed 5 lawns in 2 days, and Vanessa mowed 9 lawns in 4 days. Find the unit rate in lawns per day for each person and place the unit rates in order from least to greatest.
Final answer:
The unit rates in lawns per day for Michael, Trina, and Vanessa are 8/3, 5/2, and 9/4 respectively. The unit rates are in order from least to greatest.
Explanation:
To find the unit rate in lawns per day for each person, we will divide the number of lawns mowed by the number of days it took for each person.
For Michael, he mowed 8 lawns in 3 days, so the unit rate is 8/3 lawns per day.
For Trina, she mowed 5 lawns in 2 days, so the unit rate is 5/2 lawns per day.
For Vanessa, she mowed 9 lawns in 4 days, so the unit rate is 9/4 lawns per day.
Placing the unit rates in order from least to greatest, we have:
Trina: 5/2 lawns per day
Michael: 8/3 lawns per day
Vanessa: 9/4 lawns per day
A square pyramid has a height of 18 cm. A side length of the base of 11 cm. What is
the volume of the pyramid?
Answer: 66cm^3
Step-by-step explanation:AB=a2
V=a2h
3
Solving forV
V=ABh
3=11·18
3=66cm³
What conclusion can be drawn about lines AB and CD?
They are parallel because
lines AB and CD are vertical
lines.
78°
75°
They are not parallel because
the two given angles are not
supplementary.
They are not parallel because
the two given alternate
interior angles are not
congruent.
Answer: they are not parallel because the two given alternate interior angles are not congruent .
Step-by-step explanation: i am on the lesson right now and i got it correct .
If f(x)=|x|+9 and g(x)=-6 what describes the value of (f+g)(x)
Answer:
x
Step-by-step explanation:
the scale of map is 1cm to 8km , two towns are 52km apart . how far apart are the two towns on the map
Answer:
6.5 cm
Step-by-step explanation:
The solution to the question above is solved in the attached picture.
4. © MP.7 Look for Patterns
Marvin counts
six $5 bills. Write each
value that he
counts. What pattern do
you see in the
ones digits of the values
he counts?
Answer:
Marvin has 30 dollars
Step-by-step explanation:
there are 6 five dollar bills you could either multiply or add theses numbers.
1 2 3 4 5 6
5 10 15 20 25 30
In 2000, the total amount of a certain bird population (species of bird of paradise) was recorded at 47,000 in a city. In 2005, the same survey was made and the same bird population was estimated at 59,000. If the trend continues, in what year will the bird population reach 100,000? (Round to the nearest year)
Exponential growth is the process through which quantity rises over time. The population of the birds will reach 100,000 in 16.6 years from 2001.
What is exponential growth?Exponential growth is the process through which quantity rises over time. It happens when the instantaneous rate of change of a quantity with respect to time is proportionate to the amount itself.
In 2000, the total amount of a certain bird population (species of bird of paradise) was recorded at 47,000 in a city. In 2005, the same survey was made and the same bird population was estimated at 59,000.
As per the given information the population of the bird changed from 47,000 to 59,000 in five years, therefore, we can write,
59,000 = 47,000(1+r)⁵
(59/47) = (1+r)⁵
1.046528 = 1+r
r = 0.046528
Now, the time it will take for the population to reach 100,000 will be,
100,000 = 47,000(1+0.046528)ⁿ
[tex]\dfrac{\log(\frac{100}{47})}{\log{1.046528}} = n\\\\n = 16.6019[/tex]
Thus, the population of the birds will reach 100,000 in 16.6 years from 2001.
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Final answer:
Using the given data, the bird population is increasing at a rate of 2,400 birds per year. If this rate continues, the population is expected to reach 100,000 by the year 2022.
Explanation:
The question involves calculating the year when the bird population will reach a certain number, assuming a consistent growth pattern. Based on the data provided:
Population in 2000: 47,000Population in 2005: 59,000First, determine the annual growth rate over the 5-year period from 2000 to 2005:
Growth = 59,000 - 47,000 = 12,000 birds
Annual growth rate = Growth / 5 years = 12,000 / 5 = 2,400 birds/year
Next, calculate the number of years needed for the population to grow from 59,000 (in 2005) to 100,000:
Number of years = (Target population - Population in 2005) / Annual growth rate
= (100,000 - 59,000) / 2,400
≈ 17.08 years
To find the target year, add the number of years to 2005 and round to the nearest year:
Target year = 2005 + 17.08 ≈ 2022
Therefore, if the trend continues, the bird population is predicted to reach 100,000 in 2022
Find the surface area for number 3, will give Brainliest
Answer:
984 cm^2
Step-by-step explanation:
Base: 10 × 24 = 240
Rectangular faces: 13 × 24 = 312 (×2 = 624)
Triangular faces: 12 × 10 = 120
Add: 240 + 624 + 120 = 984
A media personality argues that global temperatures are not rising, because every year an increase is reported such as 0.08 degrees C. The difference from the previous year is less than the margin of error of about 0.15 degrees C, so that difference should be ignored. What is a strong counterargument?
Even 0.08 degrees is a lot and thus should be considered.
The margin of error is just extra information and thus can be ignored.
The difference with any previous decade is much greater than the margin of error.
0.15 - 0.08 is 0.07, which is still an increase and thus should be considered
The difference with any previous decade is much greater than the margin of error.
In statistics, the margin of error refers to half the confidence interval. It measures how much of a random sample does not fall within the confidence interval as the number of samples taken increases indefinitely. Because the margin of error depends on the level of confidence, multiple margins of error are available from the same data set.
Thus, although year after year the temperature difference is within the margin of error contemplated in the study, the truth is that the sum of several years shows differences that are not included within this margin, which proves that climate change is real and its negative effects are too.
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Final answer:
Long-term data analysis shows a clear warming trend in global temperatures over the past century, significantly exceeding the margin of error. The increased frequency of warm temperatures and the scientific consensus among multiple groups validate the occurrence of anthropogenic global warming.
Explanation:
A strong counterargument to the media personality's claim that global temperatures are not rising because the yearly increase is within the margin of error is to emphasize the long-term trend and robustness of the data. Examination of global temperature trends over longer periods clearly shows that, even with margins of error considered, there has been a significant increase in global temperatures.
For instance, averaged over land and ocean, Earth's temperature over the past century has increased by approximately 0.7°C, a result that multiple groups worldwide have corroborated using various analytical methods. This consensus adds strength to the argument. When comparing temperature differences with previous decades or even centuries, the change significantly exceeds the margin of error, revealing a clear warming trend.
Moreover, the probability of warm and extreme warm temperatures has increased, while the probability of cold and extreme cold temperatures has decreased, supporting the conclusion that anthropogenic global warming is occurring and substantiating its impact beyond the bounds of statistical uncertainty.
Given the scatter plot, choose the function that best fits the data.
scatter plot with data points that form an upward curve staring at the origin and continuing to the right
f(x) = 3x
f(x) = −3x
f(x) = 3x
f(x) = 3x2
Answer:
D) 3x^2
Step-by-step explanation:
It starts at the origin, then it curves. But if you look at it, you can see the dots getting higher and more spaced out.
It's like 4x^2, but a little more spaced out.
Therefore, it is D.
Whats the opposite?
a. Running 150 feet east.
b.jumping down 10 steps.
c.Pouring 8 gallons into a fish tank.
The opposite statements are :
Running 150 feets west Climbing up 10 steps Drawing 8 gallons from a fish tankThe opposite statements are those which negates a given sentence in terms of direction or magnitude .
For A.
West is the opposite of EastFor B.
Climbing up is the opposite of jumping downFor C.
Drawing from is the opposite of pouring into.Can you guys please help me I need my grade up
AER Petrochemicals
Crude Oil Production Breakdown for Last Year
Kerosene: 14%
Lubricating Oil: 5%
Gasoline: 34%
Other Products: 18%
Diesel: 29%
Total production from Crude oil - 60 million barrels
Question 1 of 3
What was the total production of Gasoline and Kerosene combined (in
barrels)?
288,000 480,000 26.4 million * 28.8 million
48 million
Answer:
28.8 million barrels.
Step-by-step explanation:
The percentage of production of Gasoline and Kerosene from Crude oil are 34% and 14%.
So, the Gasoline and Kerosene is totally produced by (34 + 14) = 48%.
If the production of Crude oil is 60 million barrels, then the production of Gasoline and Kerosene combined from this amount of Crude oil will be
[tex]60 \times \frac{48}{100} = 28.8[/tex] million barrels. (Answer)
By taking the sum of the percentages of Gasoline and Kerosene from the total crude oil production, we find that 48% of the 60 million barrels produced was Gasoline and Kerosene, which equates to 28.8 million barrels.
Explanation:The total production from Crude oil is given as 60 million barrels. The total percentage of Gasoline and Kerosene is obtained by adding the individual percentages. Gasoline is 34% and Kerosene is 14%, so the total is 48%.
To find the total production of Gasoline and Kerosene, we must multiply this percentage by the total production.
Calculation: 48/100 * 60 million = 28.8 million barrels
So, the total production of Gasoline and Kerosene combined was 28.8 million barrels.
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If x=2 and 3x+y=5, what is the value of y
Answer:
-1
Step-by-step explanation:
X = 2
Lets substitute the equation:
3*2 + y = 5
6 + y = 5
Using equation rules.
y = 5-6
Therefore y = -1
Answer:
y=-1
Step-by-step explanation:
3x+y=5
When x=2
Substitute the value of x in the above equation
3(2)+y=5
6+y=5
Collect like terms
y=5-6
y=-1
A regulation softball has a 3 in. diameter.
What is its approximate volume?
Use π=3.14 in your calculations. Round your answer to the nearest whole number.
Answer:
v=14
Step-by-step explanation:
The volume of a regulation softball with given diameter is 14 cubic inches.
What is the volume of a sphere?The volume of sphere is the measure of space that can be occupied by a sphere. If the radius of the sphere formed is r and the volume of the sphere is V. Then, the volume of the sphere is given by: Volume of Sphere, V = (4/3)πr³.
Given that, diameter of a softball is 3 inches.
Here, radius = 3/2 = 1.5 inches
Now, volume = 4/3 ×3.14×1.5³
= 14.13 cubic inches
≈ 14 cubic inches
Therefore, the volume of a regulation softball with given diameter is 14 cubic inches.
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Use place value understanding to round decimals to any place.
Question 1:
Round 15.26 to the nearest tenth. Draw a number line to justify your answer.
Question 2:
Mitch. Josh, and Aaron are buying new mountain bikes. Mitch is getting his bike on sale for $ 229.49. Josh's costs
$379.97. Aaron's costs $334.95. Round each mountain bike price to the nearest dollar.
Answer:
$49376.25 is the original price. rounded to nearest 1000 is $49000 and nearest 10000 is $50000
Step-by-step explanation:
which expression is equivalent
Answer:
(x+3)^(1/2)
Step-by-step explanation:
something to the 1/2 power is equal to square root.