Answer: X - 5 ÷ 15
Step-by-step explanation: The first step to algebra is to collect like terms. Since X is an a variable, we cannot solve X - 5. But we can solve 5 + 10, since those are both numbers. 5 + 10 is 15. So therefore, your simplified expression would be X -5 ÷ 15.
Hope this helps! Please correct me if I'm wrong! :D
Let the population of a city be 1,006,150 people. What is the least number of people that share a birthday?
Answer:
The least number of people that share a birthday is 1, no matter what the size of the population is.
Step-by-step explanation:
Tricky Question
Suppose there is one person that has their birthday on Feb 02. It's perfectly possible that no one else in the city has their birthday on the same day, i.e. their birthdays are any time except Feb 02. So that person will be the only one who has that as a birthday. It's even possible that no one has a birthday on Feb 02, so the answer will be zero, but it's not possible to talk about sharing if no one is doing it, so the answer is
The least number of people that share a birthday is 1, no matter what the size of the population is.
Note: If this question is talking about probability calculations, then the matter is totally different.
How do you round 6275 to the nearest thousand
look at the number next to the thousands place. it's less than 5 so you round it down to the nearest thousand which is 6000.
Someone pls help me with this
A ball set that is sold for $79 is discounted %15 what is the sale price
Answer:
$67.15
Step-by-step explanation:
79*(1-.15)
= $67.15
Which symbol makes the following number sentence correct?
4.567 4.576
Answer:
←
Step-by-step explanation:
less than as 4.567 is less than 4.576
The correct symbol to use between 4.567 and 4.576 is '<', since 4.567 is less than 4.576.
Explanation:The question is asking to choose the correct mathematical symbol that makes the given number sentence true. The two numbers are 4.567 and 4.576. In this case, since 4.576 is greater than 4.567, the correct symbol would be less than ('<'). Thus, the correct number sentence is 4.567 < 4.576.
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What is the difintion of function
a relationship or expression involving one or more variables
What are carbonhydrates
Answer:
According to the dictionary, it is any of a large group of organic compounds occurring in foods and living tissues and including sugars, starch, and cellulose.
Simplify the expression X +3+ 5X
The simplified form of the given expression is 6x+3.
The given expression is x+3+5x.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression can be simplified as follows
Now, x+3+5x
Add like terms
(x+5x)+3
= 6x+3
Therefore, the simplified form of the given expression is 6x+3.
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Can someone please help me with this 7th grade math homework
Answer:
2.19
Step-by-step equation:
What is the equation in standard form of the line that passes through the point 10,-3 and has a slope of 1/5
Answer: [tex]5y - x = -25[/tex]
Step-by-step explanation:
The formula for calculating equation of line when a point and a slope is gives is :
[tex]y - y_{1} = m ( x - x_{1})[/tex]
[tex]x_{1} = 10[/tex]
[tex]y_{1} = -3[/tex]
[tex]m = \frac{1}{5}[/tex]
substituting into the formula , we have
[tex]y - (-3) = \frac{1}{5}(x - 10 )[/tex]
[tex]y + 3 = \frac{1}{5}(x - 10 )[/tex]
multiply through by 5 ,
[tex]5 (y+ 3 ) = x - 10[/tex]
[tex]5y + 15 = x - 10[/tex]
in standard from , we have
[tex]5y - x = -10 - 15[/tex]
[tex]5y - x = -25[/tex]
suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for the water level ,L ,after D days . In how any days will the water level be 26 feet
Equation: L= -0.5D+34.
The water level be 26 feet in 16 days.
Step-by-step explanation:
Let us consider the initial level (x=0) of the water is 34 feet. Then its coordinate point can be written as (0,34).
The water is receding at the rate 0.5 feet per day, which given us the information that 0.5 is the slope since it is the rate of change and it is decreasing so it is a negative slope.
⇒m= -0.5.
The line equation is y = mx+c. Let us rewrite as L= mD+c.
Where L is the level of water(y-axis) and D is the days(x-axis) and c is y-intercept.
⇒L= (-0.5)D+c.
To find y-intercept, substitute (0,34) (the known point from the graph) in the equation. Also, the point in y axis when x=0 is y-intercept.
34= (-0.5)(0)+c.
c=34.
∴L= (-0.5)D+34.
To find the days when the water achieves level as 26 feet:
26 = (-0.5)D+34.
26-34= (-0.5)D.
-8 = (-0.5)D.
D= [tex]\frac{-8}{-0.5}[/tex].
D= 16.
Plz help!!! Will give Brainliest Given a right triangle with legs a, b and hypotenuse c, solve for c if a = 11 and b = 60
Answer:
Right angle triangle hypotenuse formula
c = √a²+b²
a=11
b=60
c = √11² + 60²
c = 3611
Step-by-step explanation:
I hope this helps!
enice brudley purchased 3,000 shares of GTI petroleum at $6.30 per share. The broker's commission was $19.95 for fewer than 1,000 shares or $0.02 per share for 1,000 or more. What was the cost of the stock? What was the total paid?
Answer:
Step-by-step explanation:
Cost of stock (without the broker's fee) : 3000 * 6.30 = 18,900
Cost of broker's fee: 3000 * 0.02 = $ 60
For a total cost of (18,900 + 60) = $18,960
Answer:
1. Cost of stock = $ 18,900
2. Total paid = $ 18,960
Step-by-step explanation:
1. Let's review the information provided to us to answer the questions correctly:
Number of GTI petroleum shares purchased by Enice = 3,000
Cost per share = $ 6.30
Broker's commission was $19.95 for fewer than 1,000 shares or $0.02 per share for 1,000 or more
2. What was the cost of the stock? What was the total paid?
Let's calculate the cost of the stock, this way:
Cost of stock = 3,000 * 6.30
Cost of stock = $ 18,900
Cost of brokers' commission = 3,000 * 0.02
Cost of brokers' commission = $ 60
Total paid = Cost of stock + Cost of broker's commission
Total paid = 18,900 + 60
Total paid = $ 18,960
A ladder leaning against a wall forms a triangle and exterior angles with the wall and the ground. What is the measure of exterior angle formed on the ground?
5 degrees
90 degrees
125 degrees
180 degrees
Yo sup??
we know that the sum of all the angles of a triangle is 180
therefore
11x+7x+90=180
18x=90
x=5
exterior angle formed on the ground=180-11x
=180-55
=125
Hope this helps
Which statement describes the total amount a rewards customer pays for 10 ounces and 12 ounces of yogurt?
A rewards customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.
A rewards customer pays $5 per ounce because the total amount paid is always increasing.
A rewards customer pays $20 for 10 or 12 ounces of yogurt because the total amount paid is increasing.
A rewards customer earns 5 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.
Answer:
A rewards customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.
Step-by-step explanation:
Just took the test y'all Trust me the answer is A.
The statement *(A) "A rewards' customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same" is correct,
What is a line graph?A line graph is a graph made up of segments of straight lines that connect the depicted data points.
We have a graph represents the customer pays for 106 ounces and 12 ounces of much a rewards' customer pays based on the number of yogurt.
Based on the graph, we can say a rewards' customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.
Thus, the statement *(A) "A rewards' customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same" is correct,
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Which ordered pair (x,y) makes this relation a function?
{(2,3), (–2,5), (4,4), (-4,5), (x,y)}
A. (-4, -1)
B. (-1,-1)
C. (-2,-1)
D. (2, -1)
Answer:
Step-by-step explanation:
A i think sorry if it is wrong
The only ordered pair that can be added to make the relation a function, without repeating an x-value, is option B. (-1,-1).
The question is asking which ordered pair (x,y) makes the given set of ordered pairs a function. A function is defined as a relation where every x-value (input) is associated with exactly one y-value (output). We already have the points (2,3), (–2,5), (4,4), and (-4,5) in our set. To maintain the definition of a function, the x-value of the ordered pair we are going to add cannot be the same as any x-value already present in the set. Looking at our options:
A. (-4, -1) - This would not work because the x-value -4 is already paired with the y-value 5 in our set.B. (-1,-1) - This is a possibility as the x-value -1 is not in the set.C. (-2,-1) - This would not work because the x-value -2 is already paired with the y-value 5 in our set.D. (2, -1) - This would not work because the x-value 2 is already paired with the y-value 3 in our set.Therefore, the only ordered pair that makes the relation a function is option B. (-1,-1).
PLEASE HELP!!!!The point (−2,−3) is rotated 90 degrees counterclockwise using center (0,0) . What are the coordinates of the image?
a (3,−2)
b (−3,2)
c (−3,−2)
(d 3,2)
Answer: a 3,-2
Step-by-step explanation:
When a point is rotated, it must be rotated around a center.
The coordinate of the image of (-2,-3) is (3,-2)
The point is given as:
[tex](x,y) = (-2,-3)[/tex]
The rule of 90 degrees counterclockwise rotation is:
[tex](x,y) \to (-y,x)[/tex]
So, we have:
[tex](-2,-3) \to (3,-2)[/tex]
Hence, the coordinate of the image of (-2,-3) is (a) (3,-2)
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ASAP PLEASE
S = 2πr2 + 2πrh
In the cylinder shown, the radius is 3 inches and the height is 7 inches. Find the surface area of the cylinder. Round your answer to the nearest tenth. A) 89.2 in2 B) 131.9 in2 C) 188.5 in2 D) 197.9 in2
Answer:
C) 188.5 in2
Step-by-step explanation:
The solution is 188.5 in2. To determine the surface area, plug 3 and 7 into the formula.
S = 2π32 + 2π(3)(7) ≈ 188.5 in
Answer:
131.4
Step-by-step explanation:
Roy is hiking down a mountain at an average rate of 3 miles per hour. He wants to know how far he can hike in a given number of hours. Which is the dependent variable in this problem situation?
Answer:
can you be more clear
Step-by-step explanation:
Answer:
distance is the dependent variable because it depends on the time hiked.
Step-by-step explanation:
Please need answer quick
Answer:
900
Step-by-step explanation:
You first split it up with 12x10x25 for the smaller one and you do 20x12x25 for the other
I hope this helps if you need the work i can give it to you
solve 2√5 as the square root of a single number
Answer: [tex]\sqrt{20}[/tex]
Work Shown:
[tex]2\sqrt{5} = \sqrt{4}*\sqrt{5}\\\\2\sqrt{5} =\sqrt{4*5} \text{ use the rule } \sqrt{x}*\sqrt{y} = \sqrt{x*y}\\\\2\sqrt{5} = \sqrt{20}[/tex]
The price of an item yesterday was $140. Today, the price fell to $63. Find the percentage decrease
Answer:
The price of an item has dropped to $63 today. Thus, The percentage decreased will be 45%.
which binomial is a factor of 49x^2+84xy+36y^2
7x + 6y is a binomial that is a factor of given equation
Solution:
A binomial is a mathematical expression which has only two terms
Given expression is:
[tex]49x^2 + 84xy + 36y^2[/tex]
We have to find the binomial that is a factor to given expression
Let us find the factors of given equation
[tex]49x^2+84xy+36y^2\\\\\mathrm{Rewrite\:}49x^2+84xy+36y^2\mathrm{\:as\:}\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2\\\\\mathrm{Rewrite\:}49\mathrm{\:as\:}7^2\\\\7^2x^2+84xy+36y^2\\\\\mathrm{Rewrite\:}36\mathrm{\:as\:}6^2\\\\7^2x^2+84xy+6^2y^2\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^mb^m=\left(ab\right)^m\\\\7^2x^2=\left(7x\right)^2\\\\Therefore,\\\\\left(7x\right)^2+84xy+6^2y^2\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^mb^m=\left(ab\right)^m\\\\6^2y^2=\left(6y\right)^2\\\\[/tex]
[tex]Therefore\\\\\left(7x\right)^2+84xy+\left(6y\right)^2\\\\\mathrm{Rewrite\:}84xy\mathrm{\:as\:}2\cdot \:7x\cdot \:6y\\\\\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2\\\\\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2\\\\[/tex]
[tex]\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2\\\\a=7x,\:b=6y\\\\Therefore,\\\\\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2 = \left(7x+6y\right)^2[/tex]
Thus we get,
[tex]49x^2 + 84xy + 36y^2 = (7x+6y)^2\\\\49x^2 + 84xy + 36y^2 = (7x+6y)(7x+6y)[/tex]
Thus the binomial which is a factor is 7x + 6y
9(b ⋅ c) = (9 ⋅ b)c is an example of which algebraic property? Group of answer choices
Answer: Associative Property of Multiplication
It states that a(b*c) is the same as (a*b)*c
Hope this helped!
Consider this function for cell duplication where the cells duplicate every minute.
f(x) = 75(2)x
Determine what each parameter in the function represents.
A) The 75 is the initial number of cells, and the 2 indicates that the number of cells doubles every minute.
B) The 75 is the initial number of cells, and the 2 indicates that the number of cells increases by 2 every minute.
C) The 75 is the number of cells at 1 minute, and the 2 indicates that the number of cells doubles every minute.
D) The 75 is the number of cells at 1 minute, and the 2 indicates that the number of cells increases by 2 every minute.
Answer:
A) The 75 is the initial number of cells, and the 2 indicates that the number of cells doubles every minute.
Step-by-step explanation:
The function for cell duplication where the cells duplicate every minute, is given by [tex]f(x)=75(2)^x[/tex]
The initial number of cells occurs when x=0:
[tex]f(0)=75(2)^0[/tex]
Note that every non-zero number to the exponent of zero is 1.
[tex]\implies f(0)=75(1)=75[/tex]Therefore the initial number of cells is 75
The two is the multiplicative rate of change, therefore the 2 indicates that the number of cells doubles every minute.
Subtract. (6x - 3) - (2x -2) What is the answer?
Answer:
Steps. (6x - 3) - (2x -2)= 6x - 3 - 2x + 2. = (6x - 2x) + (-3 + 2) = 4x + (-1 ) 4x - 1 ---> Answer.
What is the square root of the number 10
Answer:
3.16227766017
Step-by-step explanation:
I think so
Together, teammates Pedro and Ricky got 2687 base hits last season. Pedro had 283 more hits than Ricky. How many hits did each player have?
Answer:
Ricky hits 1202 base
Pedro hits = 1485 base
Step-by-step explanation:
Pedro + Ricky = 2687 hits
Let Ricky hits = x
So the Pedro hits will be = x + 283
( x + 283 ) + x = 2687
2 x + 283 = 2687
2 x = 2687 - 283
2 x = 2404
x = 1202
So the Ricky hits 1202 base
Pedro hits (1202 + 283) = 1485 base
Final answer:
To determine the number of hits Ricky and Pedro had, a system of equations was set up and solved. Ricky had 1202 hits, while Pedro had 1485 hits last season.
Explanation:
To solve the problem involving teammates Pedro and Ricky's base hits, we need to set up a system of equations based on the information given:
Pedro and Ricky's hits together total 2687.
Pedro had 283 more hits than Ricky.
Let's denote Ricky's hits as R and Pedro's hits as P. The two equations representing the situation are:
R + P = 2687
P = R + 283
To find the number of hits Ricky had, we can substitute the second equation into the first:
R + (R + 283) = 2687
2R + 283 = 2687
2R = 2687 - 283
2R = 2404
R = 2404 / 2
R = 1202
Now that we have Ricky's hits, we can find Pedro's hits by adding 283 to Ricky's total:
P = R + 283
P = 1202 + 283
P = 1485
Therefore, Ricky had 1202 hits, and Pedro had 1485 hits last season.
if f(x)=3x-2 and g(x)=2x+1 find (f-g) (x)
Answer:x-1
Step-by-step explanation:
the length of a rectangle is 8 feet more its width.the area of the rectangle is 84 square feet find its length and width
Answer:
length=8+w........1
area=84square feet........2
area of rectangle =length x width
area=(8+w)x W
area=8w+w^2
84=8w+w^2
w^2+8w+(4^2)=84+(4^2)
(w+4)^2=84+16
(w+4)^2=100
√(w+4)^2=√100
w+4=±100
w+4=100 or w+4=-100
w=96 or w=-104
the answer is 96