Given:
The scale on a map is 1:25000.
To find:
How many km on the ground is represented by 6cm on the map?
Solution:
Let x be the km on the ground.
We know that,
1 km = 1000 m
1 m = 100 cm
So,
1 km = 100,000 cm
x km = 100,000x cm
The scale on a map is 1:25000. It means the ratio of map and ground is equal to 1:25000.
[tex]\dfrac{1}{25000}=\dfrac{6}{100,000x}[/tex]
[tex]\dfrac{100,000x}{25000}=6[/tex]
[tex]4x=6[/tex]
[tex]x=\dfrac{6}{4}[/tex]
[tex]x=1.5[/tex]
Therefore, 1.5 km on the ground is represented by 6cm on the map.
Which expression is equivalent to 15x + 3?
A. 15(1x + 1)
B. 5(3x + 1)
C. 3(5x + 1)
D. 2(15x + 3)
Answer:
C
Step-by-step explanation:
3(5x + 1) | Given
15x + 3 | Multiply each term on the inside by the number on the outside of the parenthesis (3). This is called distributing.
Identify the rate of change of the function.
67Answer:67
Step-by-step explanation:
If f(0) = 2 sin 0 - cos 20, find f(pi/6)
Answer: 1/2
Step-by-step explanation:
f(Ф) = 2sin(Ф) - cos(2Ф)
f(pi/6) = 2sin(pi/6) - cos(pi/3)
Use the pi circle or a calculator
f(pi/6) = 2(1/2) - 1/2 = 1/2
There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 blues?
PLZ answer fast its an emergancy
Answer:
5/11*5/11=25/121
Step-by-step explanation:
There are 6+5 marbles.
Of those, 5 are red.
The chances of drawing a red marble are 5/11
Since you replace the marble you drew, the chances each draw remain 5/11
You cannot draw two red marbles without drawing a red marble on your first draw, so the odds of you making a second draw are 5/11. The odds of that also being red are 5/11… but we only care about that 5/11ths the time
Answer this, please! Anybody
Answer:
1/4 and 1/8 which shold multiply
Step-by-step explanation:
A jar with 13 marbles, 2 are red, 1 green, the rest blue.
P(blue) =
3. Part way through his party, Patrick found that there was 5 2/3 pizzas left. If his friends eat 3/4 of the pizzas, how much of the 5 will they eat? Write and solve an equation that will help you figure out how much of the remaining pizzas will be eaten. Explain the steps you took to solve the problem.
Answer:
4 1/4
Step-by-step explanation:
Convert 5 2/3 to an improper fraction. 3 x 5 = 15 + 2=17
17/3 x 3/4 = 51/12= 4 1/4 of the remaining pizza will be eaten
Answer: 4 1/4
Step-by-step explanation:
Each of the 6 cats in a pet store was weighed. Here are their weights (in pounds):
7, 14, 6, 11, 13, 5
Find the median and mean weights of these cats.
If necessary, round your answers to the nearest tenth.
Answer:
the median is 9,the mean is 9.3
Step-by-step explanation:
20 is 80% of what number?
Answer:
25 is answer.
80% of x=20
x=20×100/80=25
17-(8 to the power of 3 - 45) times 7 times 2 - 1324
Answer:
-7845
Step-by-step explanation:
17-(8 to the power of 3-45) times 7 times 2 -1324=-7845
A Arrange the following integers in ascending order
1) 37, 41, 76, -2.25 -25
Answer:
ASCENDING ORDER
76,41,36,25,-2,-25
Answer:
1234567891011121314151617181920
17) A baseball coach records the height at every second of a ball thrown in the air. Some of the data points
appear in the table below: Which equation is a quadratic model for the data?
Time (s)
0
1
3
Height (ft)
0
64
96
A) h = -16t? + 80t
B)h = -48t2 + 112t
C) h = -32t2 + 80t
D) = -16t2 + 640
Answer:
be smarter
Step-by-step explanation:
The width of the rectangle in the image is 3.4 ft.
What is the actual length of just the rectangle?
Hint: Subtract radius of the circle (half of 3.4) from the length (7.2).
Answer = _____ ft.
Answer: 5.5.
i hope that this helped you
20.) Using the cross multiplication method, which of the following is the solution to 18/6x = 4/(x+3)?
a)9
b)-9
c)12
d)-12
Answer:
B. 9
Step-by-step explanation:
what is one quality of rotation
Answer:
Quality rotation is the act of a joint moving through a range of motion in a way that is efficient, controlled and repeatable.
Answer:
The degree, for example, if you move a little It will make it 90 degree or other.Step-by-step explanation:
Please help with this
9514 1404 393
Answer:
153 square units
Step-by-step explanation:
The figure is drawn in the attachment with some lengths and points labeled.
The figure can be considered to have an area that is the sum of the areas of rectangle ABFE and triangle FGH, with the area of triangle BCD subtracted.
That area is ...
A = area(ABFE) +area(FGH) -area(BCD)
= (15)(9) +(1/2)(9)(6) -(1/2)(6)(3)
= 135 +27 -9 = 153 . . . square units
a store receives 8 boxes of Picture frames to sell. Unfortunately, 3 of the frames are broken and cannot be sold. There are 45 left that can be sold. The Store manager wants to know how many frames are in each box
Answer:
6
Step-by-step explanation:
45/8=5.62
round it to 6
There are 6 frames in each box.
What is equation modelling? What is a mathematical equation and expression?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that a store receives 8 boxes of Picture frames to sell. Unfortunately, 3 of the frames are broken and cannot be sold. There are 45 left that can be sold.
Assume that the number of frames in each box are [x]. Then, we can write -
8x = 45 + 3
8x = 48
x = 6
Therefore, there are 6 frames in each box.
To solve more questions on functions, expressions and equation modelling, visit the link below -
brainly.com/question/17421223
#SPJ2
3x + y= 8
X-3y = 11 X 3
Simultaneous equation
evan walk 14 miles in 7 hours what was his walking rate in hours per mile
Please report this. I answered wrong the first time and I am not sure how to help sorry. I would just delete my answer but I can't. I am so so sorry.
Maya says there are 4 hundreds in 5,467. Jenny says there are 54 hundreds in 5,467 they're both right.
Answer:
Both are right
Step-by-step explanation:
As maya say 4 hundreds in 5,467
this is right because the place value of 4 in 5467 is 4 hundreds = 400.
but Jenny says 54 hundreds in 5,467
this also correct because number 5467 in word is five thousand four hundred and sixty seven
54 hundreds = 54 × 100 = 5400
as here place value of 5 is 5000 and place value of 4 is 400
so, Addition of both gives = 5000 + 400 = 5400
If we divide 5400 by 100, we would have 54
It shows that there are 54 hundreds
so, Both are right
how many different ways could first, second, and third place finishers occur in a race with six runners competing?
Answer:
720
Step-by-step explanation:
This is a permutation since the order at which the people are picked matter due to the fact that it is a race. Using the permutation formula
P= n!/ (n-r)! you can find the different ways the race would end. n stands for the total number of objects in the set while r stands for the number of objects chosen from said set. Then you plug in the numbers in the formula: P= 10!/(10-3)!= 720
Use order of operations to simplify 6 squared - (5 -4) + 2( 8 - 2 squared) divided by 8
Camila drew a triangle with a side that is 24
inches long and a side that is 18 inches long.
Which of the following could be the length of the
third side of the triangle that Camila drew? Select
THREE that apply.
42 inches
40 inches
18 inches
7 inches
6 inches
5 inches
Answer:
Step-by-step explanation:
It’s going to be 42 inches and 40 inches because we are simplifying
The solution is, 40 inches ,or, 7 inches ,or, 18 inches, could be the length of the third side of the triangle that Camila drew.
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
Here, we have,
given that,
Camila drew a triangle with a side that is 24 inches long
and a side that is 18 inches long.
we know, that,
sum of length of two sides > third side,
so, the possible lengths are,
40 inches , 7 inches , 18 inches
Hence, The solution is, 40 inches ,or, 7 inches ,or, 18 inches, could be the length of the third side of the triangle that Camila drew.
To learn more on triangle click:
brainly.com/question/29126067
#SPJ6
A librarian was packing some books.
She discarded 22 books with torn pages.
She then packed the rest equally into 9 shelves.
There were 11 books on each shelf.
Answer:
99 books in total...
Step-by-step explanation:
pleaseee help find for b
Answer:
[tex] \frac{8}{7} = \frac{b}{b - 10} \\ 7b = 8b - 80 \\ - b = - 80 \\ b = 80[/tex]
12. A number has an absolute value
of 8. List all of the possible numbers
that have an absolute value of 8
Explain how you know. (Module 3)
Answer:
8 and -8
Step-by-step explanation:
cause thats how math work
Z = 2x - y
maximum
minimum
AY
(7,9)
(2,6
S
(2, 2)
(10.1)
My dog is licking my toes ಥ_ಥ
Alexander read 12 books in 3 months what was her rate of reading and months per book
Answer: 4 books every month
4:1
how do I decease 7 by 3%
Answer:
6.79
Step-by-step explanation:
First of all, you will have to know how much is 3% of 7 in order to decrease it by that amount.
7 x 0.03 = 0.21
Now that you know the amount, you can subtract it from seven and therefore you have decreased 7 by 3%.
7 - 0.21 = 6.79
Answer:
Percentage decrease = 7 × 3%
7 - Percentage decrease = 7-(3% x 7)= 7 - 3% x 7=7 x (1 - 3%)= (100% - 3%) × 7 = 97% x 7 = 679%
A bond has a $1,000 par value, nine years to maturity, and pays a coupon of 5.25% per year, semiannually. The bond is callable in three years at 115% of its par value. If the bond’s yield to maturity is 5.32% per year, what is its yield to call?
Please show work. Or explain how to get answer through the calculator.
A) 9.08%
B) 9.24%
C) 9.86%
D) 9.62%
E) 8.96%
Answer:
C) 9.86%
Step-by-step explanation:
Given that:
Par value of the bond = $1000
Coupon rate = 5.25%
Years of maturity = 9
years to call = 3
price to call = 115% * 1000 = 1150
YTM of the bond = 0.0532
Using Excel formula:
The current price of the bond = P-V(0.0532/2, 9*2, 0.0525*1000/2, 1000)
= $995.04
The yield to call = 2 * RATE( 3*2, 0.0525*1000/2, 995.04, 1150)
The yield to calll = 9.86%