A scale of 1:5000000 means that:
This is mainly used in map or shadow etc. things.
For example in map it is given that the scale is 1mm:5000000mm, then it means that 1mm on the map is equal to 5000000mm in real life. So, you can be asked what does 5mm on map means in real life. So, you have to solve like this:
5 × 5000000 = real life size
25000000mm = real life size
In shadow like question, it can be asked that if 5000000 m of building casts a shadow of 1 m, then how much will be the shadow of a 10000000 m building. So, you have to solve it like this:
(10000000/5000000) × 1 = shadow size
=> 2 × 1 = shadow size
=> 2m = shadow size
You can tell me the specific questions so that I can help.
The scale 1:500 000 means 1 unit on a map represents 500000 in real life
What are scales?Scales are used to represent big or small measurements on a map or graph
How to interpret the scale?The scale is given as:
1:500 000
The above means that:
1 unit on a map represents 500000 in real life
Read more about scale at:
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Angelica reads 15 pages of a book each day. In 10 days, she reads 200 pages. Assume the relationship is linear. Find and interpret the rate of change and initial value.
help me please
Given:
Angelica reads 15 pages of a book each day.
In 10 days, she reads 200 pages.
Assume the relationship is linear.
To find:
The rate of change and initial value.
Solution:
The slope intercept form of a linear function is:
[tex]y=mx+b[/tex] ...(i)
Where m is the slope and b is the y-intercept.
Angelica reads 15 pages of a book each day. So, the rate of change is 15 pages per day and [tex]m=15[/tex].
In 10 days, she reads 200 pages. It means the linear relation passes through the point (10,200).
Putting [tex]x=10,y=200,m=15[/tex] in (i), we get
[tex]200=15(10)+b[/tex]
[tex]200=150+b[/tex]
[tex]200-150=b[/tex]
[tex]50=b[/tex]
So, the y-intercept is 50. It means the initial number of pages angelica already read is 50.
Therefore, the rate of change is 15, it means Angelica reads 15 pages per day. The y-intercept is 50, it means the initial number of pages angelica already read is 50.
What is the radius of a sphere with a volume of 28526 in 3 , 28526 in 3 , to the nearest tenth of an inch?
Answer:
19.0 in
Step-by-step explanation:
From the question given above, the following data were:
Volume (V) of sphere = 28526 in³
Pi (π) = 3.14
Radius (r) =?
The radius of the sphere can be obtained as follow:
V = 4/3 πr³
28526 = 4/3 × 3.14 r³
28526 = 12.56r³ / 3
Cross multiply
12.56r³ = 28526 × 3
12.56r³ = 85578
Divide both side by 12.56
r³ = 85578 / 12.56
Take the cube root of both side
r = ³√(85578 / 12.56)
r = 19.0 in
Thus, the radius of the sphere is 19.0 in
If f(x) = x2 – 1, and
g(x) = x + 2, then
f(g(x)) = [ ? ]x2+[ ]x+]
Answer:
f(g(x)) = x^2+4x+3
Step-by-step explanation:
f(x) = x^2 – 1
g(x) = x + 2
f(g(x))=g(x)^2-1=(x+2)^2-1=x^2+4x+4-1=x^2+4x+3
Which set of numbers is included as part of the solution set of the compound inequality
x < 6 orx > 10?
Complete question is;
Which set of numbers is included as part of the solution set of the compound inequality
x < 6 or x > 10?
A) {–7, –1.7, 6.1, 10}
B) {–3, 4.5, 13.6, 19}
C) {0, 6, 9.8, 14}
D) {8.5, 9.1}
Answer:
B) {–3, 4.5, 13.6, 19}
Step-by-step explanation:
The given compound inequality x < 6 or x > 10 means that x must be less than 6 and greater than 10. And also that x cannot fall between 6 and 10.
Looking at the given options, the only set of values that fall into this compound inequality range is option B.
how do you solve 8/14 = 2/x
Answer:
x = 3 1/2
Step-by-step explanation:
8/14 = 2/x
Using cross products
8*x = 14*2
8x = 28
Divide by 8
8x/8 = 28/8
x = 7/2
x = 3 1/2
Use an algebraic approach to solve the problem.
Judy bought a coat at a 10% discount sale for $63. What was the original price of the coat?
Answer:
$70
Step-by-step explanation:
essentially, Judy paid 90% of the original price
therefore you can write this equation where 'x' equals the original price:
.9x = 63
x = 63/.9
x = 70
Pedro ordered a pizza. The pizza place charges $12 for a large pizza plus an additional $2.50 per topping. The total cost of Pedro's pizza was $22. Write and solve an equation to determine many toppings Pedro ordered.
Answer:
4 toppings
Step-by-step explanation:
22-12=10
2.50*?=10
2.50*4=10
4 toppings
Answer:
12+(2.50x)
12+(2.50*4)
12+(10)
22
Step-by-step explanation:
x stands for number of toppings
please may I get help please
whish way should I use
Answer: B.
Step-by-step explanation:
Data: Estimate of 7.21x3.86/10.09=x
Only step, Find the estimate for each number(7.21=7, 3.86=4, 10.09=10)
Explanation: How estimation work is that it numbers below 5 stays the same and numbers 5 and above round up so a number like 7.21 which has 2 and 1 as it's rounding numbers will stay the same however a number like 3.86 which has 8 and 6 as it's rounding numbers will round up
That's how we arrive at the answer of B.
I hope this helps(Mark brainliest if you'd like)
A film starts at 19:30 the film lasts 104 minutes at what time does the film end?
Answer:
Hello There!!
Step-by-step explanation:
I believe the answer is 21:14. Split 104 minutes so it will be easier to calculate so it's 60 and 44. 60 minutes is 1 hour so add 1 hour to 19:30 which is 20:30 then there is 44 minutes left. There is 30 minutes left to make it 21:00 so there is 14 minutes left at the end and add that to 21:00 which is 21:14.
hope this helps,have a great day!!
~Pinky~
If a film starts at 19:30 and lasts 104 minutes.
The film will end at 21:14.
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.
Example:
x + y + 2 is an expression.
We have,
Film start time = 19:30
Duration of the film = 104 minutes
1 hour = 60 minutes
Multiply 104/60 on both sides
104/60 x 1 hour = 104/60 x 60 minutes
1.73 hours = 104 minutes
The time the film will end:
= 19:30 + 1.73 hours
= 19:30 + 1 hour + 44 minutes
= 21:14
Thus,
The film will end at 21:14.
Learn more about expressions here:
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how to get the interval?
Step-by-step explanation:
Decide on the number of classes.
Determine the range, i.e., the difference between the highest and lowest observations in the data.
Divide range by the number of classes to estimate approximate size of the interval
hope it helps.
stay safe healthy and happy...Is this true or false!!! Need help!
Answer:
false
Step-by-step explanation:
false
Answer:
it is false it'll be (-infinity,infinity )
Step-by-step explanation:
Hope this helps!! <3
(3)/(4)x-3=(2)/(5) write this without fractions
3x -17
4 -5 =0
3(x-4)=2
4 5
What is the length of leg s of the triangle below?
45
3
1072
90°
45
$
The length of the leg is 9.
What is the Pythagorean theorem?Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We can apply this theorem only in a right triangle.
Example:
The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.
Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm
We have,
From the triangle,
S = length of the leg.
Now,
Applying the Pythagorean theorem.
√18² = 3² + s²
18 = 9 + s²
s² = 18 - 9
s² = 9
s = 9
Thus,
The length of the leg is 9.
Learn more about the Pythagorean theorem here:
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help me to do this please
Answer:
a) (10×13) + 55 b) 185 Nu c)-75 or -205 (unsure of instruction)
Step-by-step explanation:
a) He spends 10 Nu a day for 13 days, meaning he has spent 10×13 Nu. He originally had this amount, plus the 55 he ends up with. This means he began with (10×13) + 55.
b) This can then be solved using BODMAS (or PEMDAS, whatever you call the order of operations).
We begin with the multiplication, which turns the expression to 130+55. We then move to addition, giving a final result of 185.
c) For this one, I'm not sure if it is if he did that from the beginning or from now, so I've done both.
If it's from the beginning, you would use 185-(20×13) to solve this. This gives 185-260, which solves to -75.
If it's from the point of 55 Nu, you would use 55-(20×13), which gives 55-260. This solves to -205.
**You may wish to revise writing integer expressions. I'm always happy to help!
Jeanette uses more yarn to knit a poncho than she uses to knit a scarf. Write an inequality to represent the amount of yarn Jeanette uses to knit a poncho (p), and explain how to represent the inequality on a number line.
Answer:
[tex]p > s[/tex]
Step-by-step explanation:
Given
[tex]p \to poncho[/tex]
[tex]s \to scarf[/tex]
Required
The inequality
From the question, we understand that;
the number of p used is more than the number of s
more than means greater than.
So, the inequality is:
[tex]p > s[/tex]
To represent this on a number line.
First, we identify the position of s (i.e. scarf)
[tex]p > s[/tex] implies that p is any point to the right of s
Round 9.107 to the nearest tenth.
Answer:
9.1
Step-by-step explanation:
Answer:9.1
Step-by-step explanation: simply remove the 2 digits after 1 as the tenth place is always one digit after the point
Evaluate e - 1/2 f when c = 15 and f =2
Answer: 14
Step-by-step explanation: I am guessing that you wrote the "c" incorrectly and that meant to be an "e". All you really need to do is replace the letters with the numbers that equal the letters, which would be:
(15) - 1/2(2)
1/2 * 2 = 1
15 - 1 = 14
Help plzz
7. Patrick wants to buy a new computer. He already has $275 saved and plans to save $125 each month. The price of
the computer is currently $1,850, but Patrick expects the price to drop by $100 each month. Patrick wants to
determine the number of months he will need to save
a) Ifx represents the number of months, then write an equation to represent A, the total amount Patrick saves
b) Ifx represents the number of months, then write an equation to represent the cost of the computer.
c) Use your equations from part "" and part to determine how many months he will need to save before he can
buy the computer. Show your work or explain how you got your answer.
d) If the price of the computer does not drop as expected, then how many months will it take Patrick to buy the
computer at its original cost? Show your work or explain how you got your answer.
Answer:
A) A = 275 + 125x
B) 1850 - 100x
C) 7 months
D) 13 months
Step-by-step explanation:
He has $275 saved.
He plans to save $125 each month.
We are told that the computer is currently $1,850
And the price drops $100 each month.
Thus;
A) If x represents the number of months, then equation of the amount he will save is;
A = 275 + 125x
B) If x represents the number of months, then equation to represent the total cost is;
1850 - 100x
C) To find the Number of months he will need to save, we will equate gotten in question A to the equation gotten in question B. Thus;
275 + 125x = 1850 - 100x
Rearranging;
125x + 100x = 1850 - 275
225x = 1575
x = 1575/225
x = 7 months
D) If the price doesn't drop like he is anticipating, then the cost will still be $1850. Thus;
275 + 125x = 1850
125x = 1850 - 275
125x = 1575
x = 1575/125
x = 12.6 months
Approximating to the nearest whole number gives 13 months
On George's block, the ratio of cars to houses is 8 to 5. There are 32 cars, how many houses are there?
Answer:
Step-by-step explanation:
20 houses
Answer:
20
Step-by-step explanation:
You would set it up as 8:5=32:x. Since you are multiplying the number of cars by 4, you should do the same with houses. This gives 32:20, meaning there are 20 houses on the block.
**You may want to revise multiplying and dividing with ratios. I'm always happy to help!
ANSWER PLZ WILL MARK BRAINLIEST!!!!!!
Answer:
3x^2
Step-by-step explanation:
please help with number 5 (20 pts) those who answer all on the screen gets brainliest
Answer:
True
Step-by-step explanation:
This is an Isosceles triangle because it has two equal sides.
Daily income of 8 workers is Rs. 2400. How many workers will earn Rs.1800
Answer:
6 workers
Step-by-step explanation:
Number workers to earnings is direct proportion.
8: 2400 :: x : 1800
Product of means = Product of extremes
2400 * x = 8*1800
[tex]x = \frac{8*1800}{2400}\\\\x=6[/tex]
Answer:
6 workers will earn Rs. 1800.
Step-by-step explanation:
Given :-
Daily income of 8 workers is Rs. 2400.To find :-
How many workers will earn Rs.1800.Solution :-
Let
no. of workers will earn Rs. 1800 = x.
We need to write a ratio to solve.
8 = 2400x = 1800using cross products
8 × 1800 = x × 240014400 = 2400xDivide each side by 2400
14400/2400 = 2400x/24006 = xHence, 6 workers will earn Rs. 1800.
A washing machine is packaged in a box that is one meter wide, 1.5 meters long and 1.75 meters tall. What is the surface area of the box?
Answer:
11.75 please give brainliest
Step-by-step explanation:
A household aquarium tank in the shape of a rectangular prism has a base length of 242424 inches (\text{in})(in)(, start text, i, n, end text, )and a base width of 15\,\text{in}15in15, start text, i, n, end text. The height of the water is 12\,\text{in}12in12, start text, i, n, end text above the base. During cleaning, 900900900 cubic inches of water is removed. What is the absolute value of the change in the height of the water in inches
Answer:
The absolute change in the height of the water is 9.5 inches
Step-by-step explanation:
Given
[tex]l =24in[/tex] --- length
[tex]w = 15in[/tex] --- width
[tex]h =12in[/tex] --- height
[tex]V_1 = 900in^3[/tex] --- the volume removed
Required
The absolute change in the height of the water
First, calculate the base area (b):
[tex]b = l * w[/tex]
[tex]b =24in * 15in[/tex]
[tex]b =360in^2[/tex]
The height of the water that was removed is:
[tex]H = \frac{V_1}{b}[/tex] i.e. the volume of the water removed divided by the base area
[tex]H = \frac{900in^3}{360in^2}[/tex]
[tex]H = \frac{900in}{360}[/tex]
[tex]H = 2.5in[/tex]
The absolute change in height is:
[tex]\triangle H = |h - H|[/tex]
[tex]\triangle H = |12in - 2.5in|[/tex]
[tex]\triangle H = |9.5in|[/tex]
[tex]\triangle H = 9.5in[/tex]
Find the value of. X (will mark brainliest)
Answer:
[tex]x=30[/tex]
Step-by-step explanation:
[tex]5x=3x+60[/tex]
[tex]-3x[/tex] [tex]-3x[/tex]
[tex]2x=60[/tex]
[tex]/2[/tex] [tex]/2[/tex]
[tex]x=30[/tex]
Check:
[tex]5(30)=3(30)+60[/tex]
[tex]150=90+60[/tex]
[tex]150=150[/tex]
Hope this helps!
please help me i have 5 minutes left: )! ill give Brainliest thanks<3
Can yall please help me with this, pls try to explain in it steps, ty.
Answer:
D
Step-by-step explanation:
First find the slope of the line. The two points I will use are (0, 3) and (4, 2).
(2-3)/(4-0) = -(1/4). In all the equations below, the number/co-efficient before x is the slope of the line. D is the correct answer because you can rearrange the right side of it to get y = -(1/4)x+2. The co-efficient of x is -(1/4) so D is the right answer. Hope this helps! :)
Answer: D
Step-by-step explanation:
In order to have the same slope, in y=mx+b form, the two "m" must be equal.
Step 1 is to find the slope of the graph through two points. I choose the points (0,3) and (4,2)
slope is y2-y1/x2-x1 so 3-2/0-4 = -1/4
Now find which equation has the m of -1/4 and that's your answer
Hint its D.
7X^2+20x=24
X=?
Please answer to 2 d.p
Answer:
0.76
or
-0.76
hope this helps
Mr. Jubran goes to a restaurant and has a bill of $32.57. He uses a 10% off coupon
on the cost of the meal. The tax is 8%. He leaves a tip of 18% on the amount
before the coupon or tax applied. How much does he spend?
Answer:
$36.97
The cost of the meal was $32.57 and he used a 10% off coupon. You can make 10% equal to 0.1 because . Now do . This is the discount, so you want to subtract this from the original to get the actual price of the meal, .
The tax was 8% so this means he is adding
The number of goldfish in a tank is 12, and the volume of the tank is 45 cubic feet. What is the density of the tank?
0.27 goldfish per cubic foot
3.75 goldfish per cubic foot
33 goldfish per cubic foot
57 goldfish per cubic foot
Answer:
0.27 goldfish per cubic foot
Step-by-step explanation:
Find the density of the tank by dividing the number of goldfish by the volume of the tank:
12/45
= 0.27
So, the density of the tank is 0.27 goldfish per cubic foot
Answer:
0.27 is the answer
Step-by-step explanation:
I took the test :)
