The scale Trent used for his elementary school which has a school yard of 85
meters wide in real life and 102 millimetre wide in drawing is 51 : 42500
Firstly, let's do the conversion of the units
1 meters = 1000 millimetres
85 meters = ?
cross multiply
length in millimetres = 85 × 1000 = 85000 millimetres
Since the schoolyard width is 85000 millimetres in real life but it's 102 millimetres wide in drawing , the scale will be as follows:
= 102 / 85000
= 51 / 42500
Therefore, the scale is as follows:
51 : 42500
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A scale is chosen to plot the large graphs on smaller paper representing each unit by a supposed unit.
1.2 mm is used to represent 1 meter.
In the scale given the 102 mm is drawn to represent 85 meters.
So dividing the graph line with the original length the scale Trent has used can be found.
102/85= 1.2
This shows that 1.2 mm is used to represent 1 meter.
Multiplying 85 with 1.2 gives 102 .
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If AD = 12 and BD = 14, what is CD?
Write your answer as a whole number or as a decimal rounded to the nearest hundredth.
a. 7
b. 10.29
C. 12.54
d. 16.33
Answer: D. 16.33
Step-by-step explanation:
f (x)= -3x+10 and g (x) = x^2-7x
f(-5)=
g(2)=
f(4m)=
we have f (x)= -3x + 10
so f(-5)= (-3)(-5) +10 = 15 + 10 = 25
we have g (x) = x^2 - 7x
so g(2)= 2^2 - 7.2 = 4 - 14 = -10
we have f (x)= -3x + 10
so f(4m)= -3(4m)+10 = -12m + 10
ok done. Thank to me :>
What the answer plz
Some anybody
A is the point with coordinate (2,10)
B is the point with coordinate (5,d)
The gradient of the line AB is 4
Work out the value of d
Answer:
d = 22
Step-by-step explanation:
Substitute given slope and A to the equation y = mx + b to find b
y= mx + b
10 = 4.2 +b
10 = 8 + b
10 - 8 = 8 - 8 + b
b = 2
Then we have y = 4x + 2 when we substitute b and m.
They give x value of point B, we can plug it in and find y value which is d in this question.
y = 4x + 2
y = 4.5 +2
y = 22
Therefore, d = 22
150-5r is greater than or equal to 87.5
Find the value of r?
Answer:
R=12.5
Step-by-step explanation:
Linkin Corporation is considering purchasing a new delivery truck. The truck has many advantages over the company’s current truck (not the least of which is that it runs). The new truck would cost $55,440. Because of the increased capacity, reduced maintenance costs, and increased fuel economy, the new truck is expected to generate cost savings of $8,400. At the end of 8 years, the company will sell the truck for an estimated $27,700. Traditionally the company has used a rule of thumb that a proposal should not be accepted unless it has a payback period that is less than 50% of the asset’s estimated useful life. Larry Newton, a new manager, has suggested that the company should not rely solely on the payback approach, but should also employ the net present value method when evaluating new projects. The company’s cost of capital is 8%.
The payback period of the investment is 6.6 years.
The net present value is $7,797.22.
The payback period calculates the amount of time it takes to recover the amount invested from the cumulative cashflows.
Payback period = Amount invested / cost saving
$55,440 / $8,400 = 6.6 years
Net present value is the present value of after-tax cash flows from an investment less the amount invested.
NPV can be determined using a financial calculator
Cash flow in year 0 = $-55440
Cash flow in year 1 to 7 = $8,400
Cash flow in year 8 = $8400 + $27,700
I = 8%
NPV = $7,797.22
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Anna can jump 35 times in one minute. This is
70% as many as Alexander can jump in one
minute. How many times can Alexander jump in
a minute?
Answer:
Alex can jump 50 times in one minute.
Step-by-step explanation:
1.) Start off by creating your equation.
It says that Anna can jump 35 times in one minute. It continues to say, that this value IS 70% as many as Alexander can jump in one minute. Thus, your equation should look like this:
x represents the number of jumps Alexander can do in one minute
35 = 0.70x
2.) Solve for x
35 = 0.70x
35/0.70 = x
50 = x
I hoped this helped. Good luck!
Holding the price level constant, we would expect that if the multiplier is 1.5, the cumulative effect of this change in M on AD will be: $ billion
Help me please!!!!!!!!!!!
Would anyone help me with this please, worth 20 pts.
Answer:
Below in bold.
Step-by-step explanation:
The perimeter = length of 3 sides of the square + 1/2 the circumference of the circle. The radius of the circle = 2.5 in and its circumference = 2π r and 1/2 of this is π r.
So the perimeter = 3*5 + π r
= 15 + 2.5π
= 22.85 in to the nearest hundredth.
Four candy stores are competing with each other. Which
store offers the best buy for candy?
A.) Sweet Store: 12 pack for $3.00
B.) Delicious Treats: 22 pack for $4.62
C.) Sugar Factory: 18 pack for $5.40
D.) Chocolate Shop: 36 pack for $7.20
Answer: The Chocolate shop
Step-by-step explanation:
We should get the cost per one pack for each store.
For the Sweet Store we divide 3.00 by twelve for the cost of one which is:
3 divided by 12 = 0.25
One pack at a sweet store is $0.25
Now do the same for the other stores:
4.67 divided by 22 = 0.21 (Rounded to 2 decimal points)
5.40 divided by 18 = 0.3
7.20 divided by 36 = 0.2
Sweet Store: one pack is $0.25
Delicious Treats: one pack is $0.21
Sugar Factory: one pack is $0.30
Chocolate Shop: one pack is $0.20
Therefore the Chocolate shop is giving you the best deal since each pack is cheaper.
Solve for the value of p.
(6p-2)
न
(3p-7)|
Answer:
The sum of angles on a straight line is 180 degrees.
Therefore,
[tex](6p-2)+(3p-7)=180[/tex]
[tex]6p-2+3p-7=180[/tex]
[tex]9p-9=180[/tex]
[tex]9p=189[/tex]
[tex]p=21[/tex]
SLOVE I GIVE BRAINLEST
18+ -27
A. -45
B. -9
C. 9
D. 48
Answer:
B: -9
Step-by-step explanation:
When you add a negative number, you subtract that number.
[tex]18+-27=18-27=-9[/tex]
Identify the measure of MN in the diagram.
The first term of an arithmetic sequence is 4. The rule a↓n=a↓n+1 + 5 can be used to find the next term of the sequence.
a 4
b 5
c 9
d -1
Answer:
c. 9
Step-by-step explanation:
Using the rule, substituting 4 for a↓1, we find the next term to be ...
[tex]a_2 = a_1 +5\\\\a_2=4 +5\\\\\boxed{a_2=9}[/tex]
Grace collected 7 2/3 bins of glass bottles to recycle. Kenneth collected 7 5/6 times as many
bins as Grace. How many bins of bottles did Kenneth collect?
Find the product using formula ... formula = ( a + b ) ( a - b ) a) 1.2 × 2.8
Step-by-step explanation:
1.2 × 2.8
(2 - 0.8 )(2 + 0.8)
2² - (0.8)²
4 - 0.64
3.36
1.2×2.8
= (2-0.8)(2+0.8)
= (2)^2 - (0.8)^2
= 4 - 0.64
= 3.36
Answer:3.36
Hope it helps.
Do comment if you have any query
What is an equation of the line that passes through the points (-2,1) and (6,-7)
What is the equation of the line that has a slope of 3 and goes through the point (-3,5)?
A. Y=3x +4
B. Y= 3x - 14
C. Y= 3x - 4
D. Y= 3x + 12
Answer:
C. y=3x-4
Step-by-step explanation:
I just know trust me
Please help answer this! I will give you 10 pts! :DD ( please don't say non-sense I really need the answer! )
Answer:
angle a = angle bac = 90 degrees
angle b = angle abc
angle c = angle acb
PLZ HElp 24nanjoshua PLZZZZ
Answer: 11/14
Step-by-step explanation:
1/7 = 2/14 (when you time 2 at the top and at the bottom)
2/14 + 9/14 = 11/14
Ahh can someone helpppp
three-quarters the product of two numbers x and y
Answer:
xy=3/4
Step-by-step explanation:
since it says the "product"
it is x(y)
3/4 goes after the = sign
Which expression is equivalent to 45 divided by (2 - x)
Answer:
45
---------
(2 - x)
Step-by-step explanation:
That would be:
45
---------
(2 - x)
Also valid: 45/(2 - x)
Use the figure below to answer the questions. Unit 1 Test, Part 2: Basic Tools and Transformations
Answer: 35
Step-by-step explanation:
What is 6 3/4 percent of 800
Answer:
54
Step-by-step explanation:
6 3/4 = 6*4 + 3 / 4
= 27/4
=> 27/4 /100 * 800
=> 27/400 * 800
=> 27 * 2
=> 54
Two customers went to a post office to buy postcards and large envelopes. Each postcard costs the same amount, and each large envelope costs the same amount. The first customer paid $12 for 14 postcards and 5 large envelopes. The second customer paid $24.80 for 10 postcards and 15 envelopes. What was the cost in dollars of each large envelope?
A-$1.42
B- $1.15
C- $0.35
D- $0.63
The cost in dollars of each large envelope is $1.42.
Two equations can be derived from this question:
14p + 5l = 12 equation 1
10p + 15l = 24.80 equation 2
Where:
p = postcards
l = large envelopes
To determine the cost of large envelopes, multiply equation 1 by 10 and equation 2 by 14.
140p + 50l = 120 equation 3
140p + 210 = 347.20 equation 4
Subtract equation 3 from 4
227.20 = 160l
Divide both sides of the equation by 160
l = 227.20 / 160
l = $1.42
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DO NOT SPAM YOU WILL BE REPORTED ANSWER QUICK PLEASE Mason bought 16 tickets to a baseball game. The group rate saved him $5.75 per ticket He paid a total of $296.00 for the tickets. What was the regular price of a ticket to the game? Enter your answer in the box.
The regular price of a ticket to the game will be $24.25 based on the given data.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
As per the given,
Total paid = $296
Number of tickets = 16
Cost per tickets = 296/16 = $18.5
This cost excludes the $5.75 saved due to the group.
Original price = $18.5 + $5.75 = $24.25
Hence "The regular price of a ticket to the game will be $24.25 based on the given data".
For more about the number system,
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-0.8 as a fraction!
Please explain I have to go in like 5 minutes!
Answer:
4/5 divide 100 by the denominator in this case 5 get 20 as the unit percent and multiply by the numerator to get 80% which is 8/10 as a fraction.
Please help!!
Determine whether the inverse of F(x) is a function.
Answer:
Two crates, A and B, are connected with a rope of negligible mass over a frictionless pulley as represented in the diagram shown on the left. The crates are at rest.
Crate A has an unknown mass and hangs vertically to the right of the slope and crate B, with mass 14 kg, hangs on the slope to the left. The slope makes and angle of 68° with the horizontal.
The coefficient of static friction between crate B and the surface of the slope is 0.3. The direction of the frictional force is up the slope. Calculate the mass of crate A.