(a) The distance on the ground represented 2 cm on the map is 2000 cm.
(b) The distance on the ground represented 7.6 cm on the map is 7600 cm
It is a technique wherever we discover worth|the worth} of one unit from the worth of multiple units and also the value of multiple units from the worth of one unitIt is given that a map has a scale of 1:1000 which means that 1 cm of the map represents 1000 cm on the ground .
i) (a) Using unitary method , we get
1 cm on map is equivalent to = 1000 cm on the ground
2 cm on map is equivalent to = 2 × 1000
= 2000 cm on the ground
(b) Using unitary method , we get
1 cm on map is equivalent to = 1000 cm on the ground
7.6 cm on map is equivalent to = 7.6 × 1000
= 7600 cm on the ground
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Need help on trying to solve this
It should be noted that the area of the shaded figure based on the information will be 9600 m².
How to calculate the area?It should be noted that the area of a rectangle is calculated by multiplying the length by the width that's given.
It should be noted that this shape can be used
to form two rectangles and the areas will be added together.
Therefore, it should be noted that the area of the rectangle will be:
= (60 × 60) + (100 × 60)
= 3600 + 6000
= 9600 m²
In conclusion, it should be noted that the area of the shaded figure based on the information will be 9600 m².
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2x^2-4x=8 solve using quadratic equation
Answer:
Answer is 1+- √2
Step-by-step explanation:
[tex] \frac{ - ( - 4) + - \sqrt{ {4}^{2} - 2 \times( - 8) } }{2(2)} [/tex]
[tex] \frac{4 + - \sqrt{32} }{4} [/tex]
[tex]1 + - \sqrt{2} [/tex]
3(2x + 2) - (x − 4) < 18
To plot the graph of equation 3(2x + 2) - (x − 4) < 18, we need to simplify the equation of inequality first which can be simplified as
3(2x + 2) - (x − 4) < 18
6x + 6 -x+ 4 < 18
5x + 10 < 18
5x <18 - 10
5x < 8
x < 8/5
x < 1.6
So, we need to plot the line graph of the equation of inequality x < 1.6 which is attached to the solution where Blue is marked or plotted in the graph, and also note that at 1.6 there is a hollow circular mark which resents the inequality
Correct question is plot the graph of equation 3(2x + 2) - (x − 4) < 18
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Find the median, mean, mode, and range of the data.
Answer:
median:11
mode:11
mean:11.143
range:
Step-by-step explanation:
median is the middle number so you first arrange the numbers in an ascending order after rounding off each number. Then you're gonna cancel one number from the left and one from the right until they remain two numbers then you add them and divide by 2 to get 11
I'm not sure about mode coz it's the most repeated number
mean is where you add all numbers and divide them by the total amount of numbers.
I tried!
What is −10 + |−4| − |−12|?
Answer:
-18
Step-by-step explanation:
-10 + |-4| - |-12| Since there are the | |, then any negative number inside would become a positive as it will become its absolute value, which for -4, would be 4, because it is 4 spots away from the 0 on a number line and vice versa.
-10 + 4 - 12 Answering from left to right,
-10 + 4, if you would rather make it so they are both equal, you change the + to the opposite which would be - and change the 4 back to a negative because that is what it would be if you changed the equation to be subtraction instead to be easier as they would both be negatives now, so you would subtract -10 - -4 and get -6.
-6 - 12. Again, switch the - to the opposite, which is +, and then make 12 the opposite that it was before so they both share the same symbol, making it
-6 + -12, which would be -18.
Tristan used his graduation money of $2000 to set up a savings account. He wants to determine which investment would make the most money.
Find the amount of money each investment would yield after 5 years.
How much would Tristan earn with Account A: 5.7% interest compounded monthly
The amount that Tristan would earn in 5 years is $657.30.
How much would Tristan earn?When an amount is compounded monthly, it means that both the amount invested and the interest that has already accrued increases in value every month or 12 times in a year.
The first step is to determine the future value of the investment.
The formula for calculating future value:
FV = P (1 + r)^nm
Where:
FV = Future value P = Present value R = interest rate : 5.7% / 12 = 0.475%m = number of compounding = 12N = number of years$2000 x (1.00475)^(12 x 5)
$2000 x (1.00475)^60
= $2,657.30
Amount he would earn = $2,657.30 - $2,000 = $657.30
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Oscar is building a fence and purchases three boards that each measure
2.91 meters long. How many meters of fence board did Oscar purchase?
Oscar bought 8.73 meters of fence board to build the fence.
The metric system and the International Systems of Units both use the metre (m), also spelt as meter, as the basic unit of length (SI). In the British Imperial and American Customary systems, it is equivalent to roughly 39.37 inches.
A fence is a building used to enclose a space, usually outdoors. It is often made of posts joined by boards, wire, rails, or nets.
Oscar purchases three boards that measure 2.91 meters long each to build a fence.
Let say the length of one board be x = 2.91 meters.
Then the total length of fence board Oscar purchases is:
= 3x = 3 × 2.91 meters = 8.73 meters
Hence Oscar purchased 8.73 meters of fence board.
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Wharton, Inc., pays income taxes on capital gains (including gains on marketable securities) at a rate of 30 percent. At December 31, year 1, the company owns marketable securities that cost $180,000 but have a current market value of $220,000. b. As of December 31, year 1, what income taxes has Wharton paid on the increase in value of these investments? c. Prepare a journal entry at January 4, year 2, to record the cash sale of these investments at $220,000. d. What effect will the sale recorded in part c have on Wharton’s tax obligation for year 2?
The sale of investments at a price above cost is 102,000 units.
What are Marketable Securities?Any unrestricted financial instrument that can be bought or sold on a public stock exchange or a public bond exchange is defined as marketable security. As a result, marketable securities are either marketable equity securities or marketable debt securities. Marketable securities include stocks, bonds, preferred shares, and exchange-traded funds (ETFs). Marketable securities can also include money market instruments, futures, options, and hedge fund investments. The most important feature of marketable securities is their liquidity.To record the sale:
(Refer to the table shown below)
To document the sale of the security:
850k market price - 180k cost = 340k profit on the sale(Refer to the table shown below)
Record the income tax payable for the security gain:
Gain of 340,000 × 30% tax rate = 102,000Therefore, the sale of investments at a price above cost is 102,000 units.
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The correct question is given below:
Wharton, Inc. pays income taxes on capital gains at a rate of 30 percent. On December 31, 2015, the company owns marketable securities that cost $180,000 but have a current market value of $520,000. Record the sale of investments at a price above cost.
Translate (in terms of x) then solve the algebraic equation: Ten is subtracted from twice some number and the result is the sum of the number and 2.
Answer:
2x-10=x+2
x = 12
Step-by-step explanation:
Let's solve your equation step-by-step.
2x−10=x+2
Step 1: Subtract x from both sides.
2x−10−x=x+2−x
x−10=2
Step 2: Add 10 to both sides.
x−10+10=2+10
x=12
One of the legs of a right triangle measures 2 cm and its hypotenuse measures 4 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer: 3.5
Step-by-step explanation:
To find the length of the missing leg, we need to use the Pythagorean Theorem (a^2 + b^2 = c^2 where c is the hypotenuse)
1) Plug in numbers
2^2 + b^2 = 4^2
2) Square
4 + b^2 = 16
3) Flip Equation and Subtract
16 - 4 = b^2
16 - 4 = 12
4) Square Root of 12
The square root of 12 is ~3.46, so you need to round to the nearest tenth, which is 3.5
A car rental agency rent 190 cars per day at a rate of $40 per day for each one dollar increase in rate five fewer cars are rented at what rate should the cars be rented to produce the maximum income?
The rate that the cars should be rented to produce the maximum income is: 41 Dollars/Day, Maximum income 7615.
Rate and maximum incomeLet y represent the income
Let x represent the increase in rental price after increasing the rental price is 40+x.
Let 190-5x represent the number of cars rental after a rental price increase
Income expression
y=(190-5x) (40+x)
Let differentiate y with respect to x and set y' =0 to determine the maximum income
Hence,
y=(190-5x) (40+x)
=(190) (40) + 190 (x) -5x(40) -5x-(x)
=7600 +190x-200x-5x²
y= -5x² +10x+7600
Differentiate with respect to x
y'=d/dx ( -5x² +10x+7600)
y'=-10x+10x
set y'=0
-10x+10=0
10x=10
x=10/10
x=1
Maximum Rate =40+x
=40+1
=41 Dollars/Day
Maximum Income is
y= ( -5x² +10x+7600)
=(−5(1)²+10(1)+7600)
=−5(1)+10+7600
=5+10+7600
=7615
Therefore the rate that the cars should be rented to produce the maximum income is: 41 Dollars/Day, Maximum income 7615.
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What is the median number of 135, 122, 108, 127, 116, 76
Answer:
119
Step-by-step explanation:
76,108,116,122,127,135
if you cross them out you are left with 116 and 122, when you have 2 numbers you add them together then divide by 2 so that would give 119
hope this works :)
[tex] \frac{108 + 127}{2?} = 117.5[/tex]
simplified fraction 8b+3b-2=6+8b+4
Answer:
b=4
Step-by-step explanation:
it works
What is the quotient of 6.208 x 10^9 and 9.7 x 10^4 expressed in scientific notation?
It should be noted that 6.208 x 10^9 and 9.7 x 10^4 expressed in scientific notation will be 0.64 × 10^5.
How to calculate the value?It should be noted that quotient simply means that we've to divide the numbers that are given.
This will be 6.208 x 10^9 and 9.7 x 10^4 expressed in scientific notation will be:
=(6.208 × 20^9) / (9.7 ×10^4)
= 0.64 × 10^5
The value is 0.64 × 10^5.
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-2x(x-7)
wrong answers only first answer gets brainliest+100 points
The answer is -2x² + 14X
How to calculate the expression ?The first step is to open the bracket by multiplying both values in the bracket by -2x
-2x(x-7)
= -2x² + 14x
Hence the solution to the expression is -2x² + 14x
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Use the fact that 1 kilometer = 0.62 miles to convert 3,070 meters to miles.
Round to the nearest hundredth
Answer: 1.90 miles
Step-by-step explanation:
The conversion rate for meters to kilometers is 1 meter for 0.001 kilometers. Using this rate you can do, [tex]3070m*\frac{0.001km}{1m}[/tex]. The m units cancel and you're left with 3.07km. Since we are given the conversion rate of 1 kilometer = 0.62 miles, we can do, [tex]3.07km*\frac{0.62mi}{1km}[/tex]. again the km units cancel and you're left with 1.9034 mi. Rounded to the nearest hundredth to get 1.90.
How can you find 100% of Carmen's earnings using
the ratio of her earnings to 10%? What is 100% of
Carmen's earnings?
Carmen's total earning will be 10x when 10% earning is assumed to be x.
What is proportion ?
A proportion is an equation based on the equality of two ratios.
Let x be the earning of Carmen's that is equals to 10% of total earning.
Then total earning that is 100% will be equals to the multiplication 10% and x both with 10 :
10%( total earning of Carmen's ) = x
100%( total earning of Carmen's ) = 10x
Therefore, Carmen's total earning will be 10x when 10% earning is assumed to be x.
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simplify (3 * -8) plus (2x+5)-(4x-8)
The simplified value of the given expression is -11 - 2x.
BODMAS stands for Brackets of Division, Multiplication, Addition and Subtraction.
Here, we are given an expression as follows-
(3 * -8) + (2x+5) - (4x-8)
According to the rules of BODMAS, brackets must be solved first. Hence, we simplify the terms in brackets first as given below-
(-24) + (2x + 5) - (4x - 8)
Opening up the brackets we get-
-24 + 2x + 5 - 4x + 8
= -24 + 5 + 8 + 2x - 4x
= -24 + 13 -2x
= -11 - 2x
Thus, the simplified value of the given expression is -11 - 2x.
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Graph f(x)=3/2x+2
Use the line tool and select two points to graph the line.
Answer:
Pick any x coordinate to substitute for x, whatever answer you get is your Y coordinate
Step-by-step explanation:
Example
x=3
(3/2)*(3) + 2 = 6.5
So my coordinates end up being (3,6.5)
22. a. In 1990, Nadezhda Ryashkina set the record for the 10,000 m race-walking event. She finished this race in 41 minutes 56.23 seconds. What was Ryashkina's average walking rate, in meters per second?
Given the distance covered and the time elapsed, Ryashkina's average walking rate is approximately 3.97 meters per second.
What was Ryashkina's average walking rate?Rate or speed is expressed as distance walked or traveled per unit time.
R = s/t
Given the data in the question;
Distance covered s = 10,000mTime elapsed t = 41 minutes 56.23 secondsRate r = ?First convert 41 minutes to seconds.
⇒ 41min = ( 41 × 60 )s = 2460sec
Now, Elapsed time t = 2460s + 56.23s = 2516.23 second
Next, we determine the rate.
R = s / t
R = 10000m / 2516.23 s
R = 3.97m/s
Given the distance covered and the time elapsed, Ryashkina's average walking rate is approximately 3.97 meters per second.
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order from least to greatest:
-4.2 -4.6 -14.4 14.7
14.7
Submit Answer
-8.1
-8.1 -7.5
The order from least to greatest is -14.4 < -4.6 < -4.2 < 14.7
Given sequence of numbers is -4.2, -4.6, -14.4, 14.7
Negative numbers:
A negative number is a number that is less than zero which is often used to represent the magnitude of a loss. It can be written from highest to lowest in magnitude.
So the given sequence can be written from least to greatest as
-14.4 < -4.6 < -4.2 < 14.7
Therefore, The order from least to greatest is -14.4 < -4.6 < -4.2 < 14.7
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In March, Mrs. Anderson's students read 2,489 pages. In April, they read 3,052 pages. What is the total
number of pages read for the two months? Enter your answer in the box.
Answer: 5541 pages
Step-by-step explanation:
2489+3052= 5541 pgs
if 5x is the average of two numbers and one of the numbers is 3, what is the other number?
4x
5+4/2=5 imput x since you cant forget your variable
What is the smallest prime number that divides evenly into 45?
Answer: It's 3, because 3 is a prime number and divides evenly into 45.
Step-by-step explanation:
45 / 3 = 15
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Estimate √15 to the nearest tenth. Then locate √15 on a number line.
√15~ (Round to the nearest tenth as needed.)
Answer:
3.9 It would be between the numbers 3 and 4 on a number line, but closer to 4
Step-by-step explanation:
If you put this in your calculator hit the square root button and then the number 15, your calculator will spit out 3.87298334621 then round this to the nearest tenths place. Look at the digit 7 to decide to round up for down. This number would be closer to 3.9 than 3.8
(a) Find the slope of the line through (-6, -13) and (-10,- 29).
(b) Based on the slope, indicate whether the line through the points rises from left to right, falls from left to right, is
vertical.
Answer:
a) 2
b) left to right
Step-by-step explanation:
a) slope= (y2 -y1)/(x2-x1)
(-13-(-21))/(-6-(-10))
8/4
2
b) left to right
A zip line steel cable is being constructed for a reality television competition show. The high end of the zip line is attached to the top of a 50-foot pole, while the lower end is anchored at ground level to a stake 50 feet from the base of the pole. (See figure.) Find exact values for all your answers below.
Answer:
find the value of 8x³-y³
in a class of 25 students, 15 of them have a cat, 16 of them have a dog and 3 of them have neither
Answer: The probability that a student chosen at random has a cat and a dog is; P(cat and dog) = 9/25.
Step-by-step explanation:
According to the question, the total number of students is; 25.
15 of them have a cat
16 of them have a dog
while, 3 of them have neither
The information above are drawn in a Venn diagram in the attached image.
where, x = number if students who own a cat and a dog.
Consequently, the total number of students who own a cat, a dog, both or neither is as follows;
15-x + x + 16-x + 3 = 25.
-x = 25 - 34
In essence, x = 9
Therefore, the number of students who own a cat and a dog is 9.
The probability that a student chosen at random has a cat and a dog is therefore;
P(cat and dog) = 9/25.
now. John is 9 years How old will he be after 20 years.
[tex]\huge\text{Hey there!}[/tex]
[tex]\text{If John is currently 9 years old and we’re trying to figure out how old he will be}\\\text{in 20 years.}[/tex]
[tex]\text{Let us label your equation to:}[/tex]
[tex]\text{9 - a = 20 OR BETTER YET a - 9 = 20; your “a”-value will be labeled as}\\\text{John future age.}[/tex]
[tex]\textsf{Equation:}[/tex]
[tex]\mathsf{a - 9 = 20}[/tex]
[tex]\textsf{ADD 9 to BOTH SIDES}[/tex]
[tex]\mathsf{a - 9 + 9 = 20 + 9}[/tex]
[tex]\textsf{SIMPLIFY IT}[/tex]
[tex]\mathsf{a = 20 + 9}[/tex]
[tex]\mathsf{a = 29}[/tex]
[tex]\huge\text{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{John\ will \ be \ \boxed{\mathsf{29}} \ years \ old}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Question is in the picture attached. Thank you kindly
Answer: C, B, D, A
Step-by-step explanation:
[tex]\ln(xy)=\ln x+\ln y\\\\\ln(x/y)=\ln x-\ln y\\\\\frac{\ln y}{\ln x}=\log_{x} y\\\\\ln (x^y)=y \ln x[/tex]
These are all standard logarithm rules.