Answer:12 x 9
Step-by-step explanation: 600 x 2/100 = 1200/100 = 12
450 x 2/100 = 900/100 = 9
Remember that 100km = 2 units
Draw a rectangle with the dimensions given (600 km by 450 km) to recreate Joel's map of Colorado on the grid. Make sure to align the rectangle's longer side with latitude (horizontal) and shorter side with longitude (vertical).
Explanation:To recreate Joel's map of Colorado on the grid, we can simply consider the dimensions given of 600 km by 450 km. Draw a rectangle on the grid with one side being 600 units (representing km) and the other being 450 units (representing km). This rectangle will represent Colorado, and you can label it accordingly. Keep in mind that since it's a map, the orientation of Colorado's longer side (600 km) should align with the latitude and shorter side (450 km) should align with the longitude, assuming that the west-east direction is taken as horizontal.
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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
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]
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.
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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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
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
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!
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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over three successive Collins build 1/3, 1/5 and 1/4 of the brickwork of his new garage. What fraction must he complete on the fourth and final day
Answer:
1 - 1/3 - 1/4 - 1/5
Step-by-step explanation:
Let's take it one step at a time.
Day 1 he completes 1/3 of the garage, so you subtract 1/3 from 1 which means he left 2/3
Day 2 he completed 1/4 more, so you again subtract, this time though 2/3 - 1/4, or in other words 1 - 1/3 - 1/4
So you do this one more time. 1 - 1/3 - 1/4 - 1/5
Can you handle this or do you need help with fraction subtraction.
What is the square root of the number 10
Answer:
3.16227766017
Step-by-step explanation:
I think so
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.
Solve square root of -144?
Step-by-step explanation:
[tex] \sqrt{ - 144} = \sqrt{144 \times ( - 1)} \\ = \sqrt{144} \times \sqrt{ - 1} \\ = 12 \times i.. (\because i^2 =-1)\\ = 12i \\ \\ \therefore \: \sqrt{ - 144} = 12i[/tex]
Answer:
[tex]=12*i[/tex]
Step-by-step explanation:
Given: [tex]\sqrt{-144}[/tex]
The square root of some negative value can be find by splitting it in the way given below:
[tex]\sqrt{-144}= \sqrt{144*(-1)}[/tex]
[tex]=\sqrt{144} *\sqrt{-1}[/tex] as,
[tex]\sqrt{144}=12 \\\sqrt{-1}=i[/tex]
[tex]\sqrt{-144}[/tex] [tex]=12*i[/tex]
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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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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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.
How do you graph y=2/3x + 5
Answer:
Plot a point at 5 on the y axis then move up 2 spaces and right 3 spaces and plot a point there
!!!!!!!!!!!!!!!!!!!!!!!!!!
Yes, because AB and CD are parallel and GH is perpendicular to CD, AB is perpendicular to GH. So you are right.
Someone pls help me with this
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%.
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!
What is the difintion of function
a relationship or expression involving one or more variables
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.
Can someone please help me with this 7th grade math homework
Answer:
2.19
Step-by-step equation:
I need some help answering this math question
Answer:
3168 feet / minute
Step-by-step explanation:
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]
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:
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:
Equation for turning 2.2 into a fraction
Answer: (2.2 × 10)(1 × 10) = 2210.
Step-by-step explanation:Step 2: Multiply both top and bottom by 10 for every number after the decimal point: As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So, 2.21 = (2.2 × 10)(1 × 10) = 2210.
Answer
1/5+ 2
Step-by-step explanation:
.2 equals a fith so when you add that to the whole number the answer will be 2 1/5
1/5 +2 = 2 1/5
2 1/5= 2.2
if f(x)=3x-2 and g(x)=2x+1 find (f-g) (x)
Answer:x-1
Step-by-step explanation:
WILL MARK BRAINLIEST Create a 2-Way Frequency Table. Remember to label the 2 categories, as well as provide data values for each cell.
Please find the attachment on the Frequency table with 2 categories. It is 2X2 2 rows and 2 colums.
Step-by-step explanation:
Two criteria - one location(two categories).Two criteria - nature of occupancy (two categories).Table above is 2X2 table which has 2 rows and two columns.2 Frequency table can also be called as a contingency table.It is the construction of of a table with two attributes or characteristics.They appear independently all the categories or attributes.In the below attachment interest lies in ascertaining whether both.the attributes location and nature of occupancy are independent.