Answer:
750$
Step-by-step explanation:
lets say the increase is x times 10$. it means manager asks for (500+10x) and earns it from (100-x) apartments. Revenue will be the product of the two:
[tex](500 + 10x)(100 - x) = 50 \: 000 - 500x + 1 \: 000x - 10 {x}^{2} = 50000 + 500x - 10 {x}^{2} [/tex]
its a parabola, and its maximum is on the vertex, or at
[tex]x = - \frac{b}{2a} = - \frac{500}{ - 20} = 25[/tex]
so he should add 10$ 25 times, or ask 750$
You can drive 90 miles in 1/4 of a tank of gas in 1 hour.
Answer:
Step-by-step explanation: 1/4 will be about 4-5 with the reserve. You should be able to cover about 120 — 150 miles on that. Don't push your luck. Always keep your tank at least half full.
The line lowest to the bottom would mean you have 1/4 of a tank of gas and you should probably fill up soon, below 1/4 would be close to 1/8 of a tank which means get gas now.
A fraction (mathematics) of one fourth, one quarter, 25% or 0.25.
one of the four equal or equivalent parts into which anything is or may be divided. 2. a fourth part, esp. of one (¼).
One-fourth is also called a quarter.
To find one quarter of a number divide the number by 4. So 1640 divided by 4 is 410.
The number of miles travelled by the vehicle in full tank will be 360 miles.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that you can drive 90 miles in 1/4 of a tank of gas in 1 hour. The number of miles will be calculated as,
Number of miles in full tank = 4 x 90
Number of miles in full tank = 360 miles
Hence, in a full tank, the vehicle can travel 360 miles.
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You have 20 quarters. You find 40% more in your room. Then you go to the store and spend 50% of them. How much money do you have left?
If an atom has 5 protons, 7 neutrons and 5 electrons what is the mass number of the atom?
Please help quick!
No links!
Answer:
7+5=12
Step-by-step explanation:
To calculate the mass number of an atom, you have to add the protons and the neutrons. We have 7 neutrons and 5 protons, so your mass number would be 12. Let me know if you have any further questions. :)
16-?=2+6 solve for the missing number
Answer:
8
Step-by-step explanation:
trust
Answer:
8
Step-by-step explanation:
16-?=2+6
First, we add the right side .
16-?=8
Now that it's easier to solve, we can figure out you need to subtract 8 from 16 to get 8.
16-8=8
Alyssa bought a bag containing 60 small candies. She starts eating the candies at a rate of 5 candies per minute. Answer the questions below regarding the relationship between the number of minutes eating and the number of candies left in the bag.
Answer:
for every 10 she eats the minutes are even
Step-by-step explanation:
( i honestly dont know how to explain the relationship but i did the math for it)
it would take 12 mins to eat all 60 candies
55 candies : 1 min
50 candies : 2 mins
40 candies : 4 mins
30 candies : 6 mins
20 candies : 8 mins
10 candies : 10 mins
0 candies : 12 mins
What is the slope of the line that passes through the points (-6,-7) and (-25, -7)
Answer:
slope is 0
Step-by-step explanation:
(-6,-7) and (-25, -7)
To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(-7 - (-7) / (-25 - (-6))
Simplify the parentheses.
= (-7 + 7) / (-25 + 6)
= (0) / (-19)
Simplify the fraction.
= 0/-19
= 0
This is your slope.
This means your line is a horizontal line.
What is the y-intercept of a line that has a slope of -3 and passes through point (0, -7)?
A. -7
B. -3
C. 0
D. 4
Answer:
-7
Step-by-step explanation:
The y-intercept is where the x value is 0.
Please help me with this homework
Find the following for the nth term of the following geometric sequence, as an expression of n:
3, 15, 75, 375
Answer:
[tex]15^{n-1}[/tex]
Step-by-step explanation:
First , Let's find the common ratio of this sequence.
[tex]\frac{15}{3}=5\\\frac{75}{15} = 5\\\frac{375}{75} = 5[/tex]
SO,
r = 5
Now let's use this formula to find the n th term
[tex]T_n = ar^{n-1}[/tex]
Here,
a = first term
r = common ratio
Let's find,
[tex]T_n = 3*5^{n-1}[/tex]
[tex]T_n =15^{n-1}[/tex]
Therefore,
the n th term is,
[tex]15^{n-1}[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
Answer:
[tex]a_{n}[/tex] = 3[tex](5)^{n-1}[/tex]
Step-by-step explanation:
There is a common ratio between consecutive terms , that is
15 ÷ 3 = 75 ÷ 15 = 375 ÷ 75 = 5
This indicates the sequence is geometric with nth term
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 3 and r = 5 , then
[tex]a_{n}[/tex] = 3 [tex](5)^{n-1}[/tex]
Question 13 of 20
If fx) = 5x- 4 and g(x) = 4x+1, find (f- g)(x).
Answer:
Step-by-step explanation:
x-5
A newspaper reports the following changes in the temperature of a city over 4 days: 3.24 degrees Celsius, -3/8 degrees Celsius, -0.15 degrees Celsius, 7/9 degrees Celsius Write an expression to show the average daily change in the temperature of the city. Write the steps to solve the expression. Round your answer to the nearest hundredth.
Answer:
It is 0.873 but rounded to hundredth is 0.87
Step-by-step explanation:
I included a picture on how to solve it, hoped I helped. :)Answer:
0.873 rounded to the nearest hundredth is 0.87
Step-by-step explanation:
The length of the minute hand of a clock is 14cm. find the area it covers in 30 minutes.
Find the limit: .3,2.33,2.333,2.3333
Answer:
2 1/3
Step-by-step explanation:
The value of the fraction that is an infinite sequence of 3s is 1/3. As more 3s are added to the fraction, it comes closer to 1/3.
The limit is 2 1/3.
Pls help me answer this question
Point G lies between points F and H on Line segment F H.
A line contains points F, G, H. The space between F and G is 4 x. The space between G and H is 2 x.
If the length of FH is 18 units, what is the value of x?
3
4
6
12
Answer:
it is 3
Step-by-step explanation:
4x+2x=18 so we solve for x which is 3
Answer: A. 3
Step-by-step explanation: On Edge!!
evaluate the function when x equals -6, 4, 1.
Answer:
- 26 , 4 , - 5
Step-by-step explanation:
Substitute the given values of x into s(x) , that is
s(- 6) = 3(- 6) - 8 = - 18 - 8 = - 26
s(4) = 3(4) - 8 = 12 - 8 = 4
s(1) = 3(1) - 8 = 3 - 8 = - 5
Given this quadratic equation, 2x^2-x-28=0,
List the factors of this equation.
Determine the x-intercepts.
[tex]\\ \sf\longmapsto 2x^2-x-28=0[/tex]
[tex]\\ \sf\longmapsto 2x^2-8x+7x-28=0[/tex]
[tex]\\ \sf\longmapsto 2x(x-4)+7(x-4)=0[/tex]
[tex]\\ \sf\longmapsto (2x+7)(x-4)=0[/tex]
[tex]\\ \sf\longmapsto x=7/2\:or\:x=4[/tex]
What is an equation of the line that passes through the points (-6,3) and (-5,2)
Answer:
y=-x-3
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through the points (-6,3) and (-5,2)
There are 3 ways to write the equation of the line:
Slope-intercept form, which is y=mx+b, where m is the slope and b is the y interceptPoint-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a pointStandard form, which is ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be equal to zero, and a cannot be negativeThe most common way to write the equation of the line is in slope-intercept form, so let's do it that way.
First, we'll need to find the slope of the line
The formula for the slope calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
Although we already have 2 points, let's label their values in order to avoid confusion later:
[tex]x_1= -6\\y_1=3\\x_2=-5\\y_2=2[/tex]
Now substitute these values into the formula to find slope (m):
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute (remember: we have NEGATIVE numbers, but the formula calls for SUBTRACTION, so we'll end up subtracting a negative):
m=[tex]\frac{2-3}{-5--6}[/tex]
Simplify:
m=[tex]\frac{2-3}{-5+6}[/tex]
Add/subtract the numbers together:
m=[tex]\frac{-1}{1}[/tex]
Divide
m=-1
We can substitute this as m in y=mx+b:
y=-1x+b, or y=-x+b
We need to find b now
Since the equation passes through both (-6, 3) and (-5, 2), we can use either point to solve for b
Taking (-6, 3) for example:
Substitute -6 as x and 3 as y
3=-1(-6)+b
Multiply
3=6+b
Subtract 6 from both sides
-3=b
Substitute -3 as b into the equation
y=-x-3
Hope this helps!
Find the number that makes the ratio equivalent to 6:3 :9
9-3÷ 1/3+1 Pls ya'll i need this for my 8th grade class
Answer:
9
Step-by-step explanation:
So it kinda easy but ill Just give u the answer :D
Answer:
9-3÷ 1/3+1= 9
Step-by-step explanation:
I can't do solution sorry.
Last semester, Zachary earned an average score of 80 points on math tests. So far this semester, his average score is 15% lower. What is the average of Zachary's scores this semester?
Answer:
The answer would be 12
Step-by-step explanation:
15/100 = X/80
To solve the equation above for X, you first switch the sides to get the X on the left side, then you multiply each side by 80, and then finally divide the numerator by the denominator on the right side to get the answer.
The equation
15/100 = X/80
X/80 = 15/100
X*80/80 = 15*80/100
X = 1200/100
X = 12
A Carpenter wants to build a elliptical table top from a 4 foot to by 6 foot sheet of plywood. she traces out the ellipse using a string attached to thumbtacks located at the foci of the ellipse.
The thumbstacks have an in-between distance of [tex]2\sqrt{5}[/tex] feet.
The distance between any focus and the center of the ellipse ([tex]c[/tex]), in feet, is described by the following expression:
[tex]c = \sqrt{a^{2}-b^{2}}[/tex] (1)
Where:
[tex]a[/tex] - Major semiaxis length, in feet.[tex]b[/tex] - Minor semiaxis length, in feet.If we know that [tex]a = 3\ft[/tex] and [tex]b = 2\,ft[/tex], then the distance between focus and center is:
[tex]c = \sqrt{3^{2}-2^{2}}[/tex]
[tex]c = \sqrt{5}[/tex]
The distance between the thumbstacks is described by this expression:
[tex]d = 2\cdot c[/tex]
[tex]d = 2\sqrt{5}\,ft[/tex]
The thumbstacks have an in-between distance of [tex]2\sqrt{5}[/tex] feet.
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express the followinf percentage as a fraction
a) 6 3/5%
Answer:
6.6/100 or 3.3/5
Step-by-step explanation:
6.6% or 6 3/5% now since those are all out of 100 (since percentages) you just put #/100 and get your fraction
Write and solve a real-world problem that can be represented by the expression (−3)(5 ) + 10.
Answer:
• The smart phones produced by Samsung in 30 minutes reduce from 10 by 15 times
Step-by-step explanation:
[tex] = ( - 3)(5) + 10 \\ = - 15 + 10 \\ = - 5[/tex]
In a scaled diagram, 1 inch represents 20 feet.
How many square inches on the diagram
represent 1 square foot?
Answer:
240
Step-by-step explanation:
1 foot=12 inches.
12 inchest times 20=240
In 1 square feet there will be 0..0025 inches on the scaled diagram.
What is unit conversion of measurement?Conversion of one unit to another unit of measurement for the same quantity using multiplication/division by conversion factors is known as unit conversion of measurement.
For example,
1 kg = 1000g
⇒ 1 gm = 1/1000kg
According to the given question.
1 inch = 20 feet.
⇒ [tex]1 feet = \frac{1}{20} inch[/tex]
⇒[tex]1^{2} (feet)^{2} = (\frac{1}{20} )^{2} (inch)^{2}[/tex]
⇒ 1 square feet = 1/400 square inches
⇒ 1 square feet = 0.0025 square inches
Hence, in 1 square feet there will be 0..0025 inches on the scaled diagram.
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Using the figure below, find the area of the circle.
Answer:
Step-by-step explanation:
Diameter of the circle = Side of the square = 10 cm
radius = r= 10/2 = 5 cm
Area = πr²
= 3.14*5*5 = 78.5 cm²
Vivi is 40 floors from the top of her building. If she starts at the bottom and runs up 5 floors every 20 seconds, how far is she from the top of the
building after 90 seconds?
O 12 floors
• ,14
floors
17 floors
19.
O
floors
Answer:
17 floors
Step-by-step explanation:
1 floor every 4 seconds.
90/4 = 22.5
40 - 22.5 = 17.5
17.5 is 17ish floors, and is the only answer that is close to 17 floors.
Alybia was making 115 cookies for a Valentine’s Day party. They were each either red or purple. Forty percent of the cookies were red. How many cookies were purple?
Answer:
69 purple cookies!
Step-by-step explanation:
answer the following question in the picture
Answer:
x = 16
Step-by-step explanation:
5x - 7 = 8x - 55
+55 +55
5x + 48 = 8x
-5x -5x
48/3 = 3x/3
16 = x
why are prefixes used in naming covalent compounds
A. oxidation states of the atoms are identified with prefixes
B. the atoms can have different numbers of valence electrons
C. the prefixes identify the only way the atom can combine
D. the same atoms can combine in more than one ratio
Answer:
the atoms can have different numbers of valence electrons