Step-by-step explanation:
☄ [tex] \underline{ \underline{ \text{Question }}}: [/tex] The ratio of new houses to antique houses in a village is 4 : 5 . If there are 12 new houses , how many antique houses are there ?
☄[tex]\underline{ \underline{ \text{Solution}}} : [/tex]
✏ Let , the number of antique houses in a village be ' x ' .
Then , According to the question :
[tex] \sf{ \frac{Number \: of \: new \: houses}{Number \: of \: antique \: houses} \: = \: \frac{4}{5}} [/tex]
⤑[tex] \sf{ \frac{12}{x} = \frac{4}{5}} [/tex]
Apply cross product property
⤑[tex] \sf{4 \times x = 12 \times 5}[/tex]
⤑[tex] \sf{4x = 60}[/tex]
⤑[tex] \sf{ \frac{4x}{4} = \frac{60}{4}} [/tex]
⤑[tex] \sf{x = 15}[/tex]
So, The number of antique houses in a village is 15.
[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \bold{15}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ツ
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The school store received a shipment of notebooks and pens. There are 10 cartons of notebooks and 25 boxes of pens. Each carton of notebooks costs $72 and contains 48 notebooks. Each box of pens costs $12.60 and contains 36 pens. The school wants to make a 10% profit.
question What is the cost of one notebook? What amount must be added on to the notebook's cost to account for a 10% markup? What will be the retail price (price the school is charging) for the notebook?
Answer:
cost of one notebook: 72/48 = $1.50
10% mark up = $1.50 x 0.10 = 0.15 cents
retail price = $1.65
Step-by-step explanation:
PLEASE HELP I NEED AND ANSWER
Flying against the wind, an airplane travels 5040 kilometers in 6 hours. Flying with the wind, the same plane travels 6000 kilometers in 5 hours. What is the rate of the plane in still air and what is the rate of the wind?
Answer:
The rate of plane in still air is 1020 kilometers per hour and rate of wind is 180 kilometers per hour.
Step-by-step explanation:
Given that:
An airplane travels 5040 kilometers in 6 hours against the wind
An airplane travels 6000 kilometers in 5 hours with the wind
Let,
x be the speed of plane in still air
y be the rate of wind
Combined speed against the wind = x - y
Combined speed with the wind = x+y
Speed = [tex]\frac{Distance}{Time}[/tex]
x-y= [tex]\frac{5040}{6} = 840[/tex]
x - y = 840 Eqn 1
x + y = [tex]\frac{6000}{5} = 1200[/tex] Eqn 2
Adding Eqn 1 and 2
x+y+x-y=1200+840
2x=2040
Dividing both sides by 2
[tex]\frac{2x}{2}=\frac{2040}{x}\\x=1020[/tex]
Putting x=1020 in Eqn 2
1020+y=1200
y=1200-1020
y=180
Hence,
The rate of plane in still air is 1020 kilometers per hour and rate of wind is 180 kilometers per hour.
Mr bell bought a freezer in a sale where all goods were 20% off. what was the original price of the freezer?
Answer:
First, you did not exactly state what the original price was or maybe that's how the question is worded, but in this scenario the original price of the freezer would be x because they did not tell us.
Step-by-step explanation:
A 20 percent discount is 0.20 in decimal format. For example if the original price was $20, then you would multiply 0.2 by $20 to get $4.00. In this question i would say the original price would be x, so then it would be 0.2x.
Hope this helps:)
Ashley charges 25.00 pesos for every page for
encoding. In addition, she charges 5 pesos per
page of printed output. How many page/s
did she encode
and print if she receives
amount of 960.00 pesos?
a. 10
c. 30
b. 20
d. 32
first add 25 and 5 and divide 960 by 30
pls help with this :(
Answer:
is it 8x
i'm not sure
Step-by-step explanation:
Answer:
( E ) = 18x
Step-by-step explanation:
According to question,
2/3 ( E ) = 12x [ Here ( E ) is the expression]
2 ( E ) = 36x
( E ) = 36/2 x
( E ) = 18x
Hope it helps.......
3 less than 8 times w
Answer:
8w-3
Step-by-step explanation:
Is that what you were looking for?
Help! I’ll mark brainliest! Show your work.
ok i can drag what goes in what
Answer:
The equation should look like c=1.59 times a
Step-by-step explanation:
if it cost 1.59 dollars per pound of apple it is going to be a multiplication problem so then you fill in the blanks, A standing for per pound of apples and C representing total cost
6 m 11m in area
10yrd 8yd in area
5in 7in in area
4cm 6cm 10cm in area
Please I need answers for all of them
Polygon ABCD has the following vertices:
A(−4, 2), B(3, 2), C(3, −5), and D(−4, −2)
Calculate the area of the polygon.
28 units squared
38.5 units squared
40.5 units squared
49 units squared
9514 1404 393
Answer:
(b) 38.5
Step-by-step explanation:
The polygon is a trapezoid with bases 4 and 7 and height 7. Its area is given by the formula ...
A = (1/2)(b1 +b2)h
A = (1/2)(4 +7)(7) = 77/2
A = 38.5 . . . . square units
Give the other person brainiest pls because they were right I know because I took test and they helped me :)
Find the quotient. -275/-25
Answer:
5
Step-by-step explanation:
A town's population of children increased from 376 to 421 during the past year. Which equation shows how to find the percent increase? a p=421−376376 b p=421−376421 c p=376421−376
Answer:
a. p=421−376/376
Step-by-step explanation:
Computation for Which equation shows how to find the percent increase
Percentage increase=421-376/376*100
Percentage increase=45/376*100
Percentage increase=11.968%
Percentage increase=11.97% (Approximately)
Based on the above calculation The equation that will shows how to find the percent increase of the town's population of children from 376-421 during the past year will be:p=421-376/376
What’s 2 1/4 + 3 2/3
Answer:
The correct answer is 5 11/12
Step-by-step explanation:
HAVE A GOOD DAY!
Help with these two they have to be Decimal or fraction form rounded all the way!!
Answer:
x=1/2 I'm not sure it may be wrong
Answer:
The question to the question provided is
[tex] \frac{1}{2} [/tex]
4. The average speed of an Express train between New Delhi and Kota is 97 km/hr. The train
takes 4 hr to travel from New Delhi to Kota. Find the distance between New Delhi and Kota.
Answer:
Distance between New Delhi and Kota = 388 kilometers
Step-by-step explanation:
Given that:
Average speed of express train = 97 kilometer per hour
Time taken to travel = 4 hours
Distance between New Delhi and Kota = Speed * Time
Distance = 97 * 4
Distance = 388 kilometers
Hence,
Distance between New Delhi and Kota = 388 kilometers
is the relation a function? why
Answer:
no its not
Step-by-step explanation:
x-11 is only supposed to have one y.
if its a funtion then x should only have one line comming out of it. if its not a finction then x has two lines coming out of it.
Answer: no because the x axis dont equal or match up with the y axis and because theres not a certain amount of numbers for it to equal to or match to.
Step-by-step explanation:
A function is a relation in which each input has only one output. In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2. please give me brainliest
A line has this equation: -5y = 4x+40
Write an equation for the perpendicular line that goes through (8,5).
Answer:
The equation of the second line is;
y = 4x - 27
Step-by-step explanation:
Firstly, we need the slope of the first line
To get the slope, we need the equation in the general form of ;
y = mx + c
where m is the slope of the line
Thus, we have in this case, to divide through by -5
That will give the slope value as -5/20 = -1/4
If two lines are perpendicular, the product of their slopes is -1
The slope of the line we want to calculate, let us call it m
m * -1/4 = -1
-m = -4
m = 4
So we want to write the equation of a line with slope 4 and point (8,5)
We proceed to use the point-slope form
That will be;
y-y1 = m(x-x1)
y-5 = 4(x-8)
y-5 = 4x-32
y = 4x -32 + 5
y = 4x -27
Bryan and his parents went to dinner at their favorite restaurant. The bill came to $130. His parents left a 15% tip. How much TIP did they leave? *
Answer:
$19.50
Step-by-step explanation:
Turn the %15 into a decimal
130 x 0.15 = 19.50
They left $19.50 as their tip.
Can anyone help me solve this is a worksheet extra credit
Answer:
11. Coordinates of the meeting point 18,24
12.equation for line R, y= -2x/5-4
equation for line E,y=2x/5+12
13. 1,3, 4,5,10,13 ,15
14.70°
15. AC= 47
Step-by-step explanation:
I'm pretty sure about the answers. Please consider making brainliest. Thank you
The ratio of cats to dogs at April's Animal Shelter was 3 to 2. How many dogs were in the shleter if there were a total of 75 cats and dogs in the
shelter?
A 30
B 25
c 50
d 150
Answer:
A:30
Step-by-step explanation:
because 3+2(the ratio) =5
75(the total number or both) divide by 5
so 1 ratio=15
15 x 2(the ratio of dogs)
=30
How many different positive four-digit integers can be created if the four digits 1,
3,5, and 6 must be used to create each integer?
Answer:
You have 4 digits with which to work. The digits can be placed:
1st position: 4 possible digits
2nd position 3 possible digits
3rd position 2 possible digits
4th position 1 possible digit
Total permutations equal
4 * 3 * 2 * 1
which equals
24
Step-by-step explanation:
Mrs. Rawlings is preparing to celebrate National Cone Appreciation Day! She will paint 100 cones like the one shown to the right. Approximately how much paint will she need? (Use 3.14 for n.)
Answer:
Step-by-step explanation:
8+5+9.4= 22.4
100n+22.4
100(3.14)+22.4= 336.4
I gave you this to help you, if you know how much is in each paint cans, than divide that number with 336.4, and you'll get your answer.
A diagram of a swimming pool is below. The width of the pool is 25 m, find the length of the actual pool?
I don't understand this at all. It looks so easy but I cannot grasp it. Please provide an explanation
Answer:50
Step-by-step explanation:
7.5 x 2 = 15
25 x 2 = 50
I REALLY NEED HELP ON THIS CORRECT ANSWER GETS BRAINLOEST
Answer:
y=mx
this is the answer y=1x
Sandra says that 1.475% as a decimal is 147.5 but John says 1.475% as a decimal is .01475. Who is correct? 5 points
Answer:
John
Step-by-step explanation:
To get from a percent to a decimal, you move the decimal point two places to the left, so John is correct.
Phillip wanted to leave a 15% tip. He thought to himself that 15% = 10% plus half of 10%. Which of the following equations will help Phillip estimate the tip on a $36.00 bill correctly?
A.
$3.60 + $3.60 = $7.20
B.
$3.60 + $0.36 = $3.96
C.
$1.80 + $1.80 = $3.60
D.
$3.60 + $1.80 = $5.40
Answer: 36.00
Step-by-step explanation:
Divide 36.00 by 10 and You Simply Get 3.60
Hope this Helps :DD
quadratic equations
m^2-12=m
Step-by-step explanation:
m² -12 = m
m² = m + 12
m = [tex]\sqrt{m + 12\\}[/tex]
Evaluate the expression when a = 17 and c = 7.
²
a+c
a-2c
Answer:
Step-by-step explanation:
a + c = 17 + 7 = 24.
a - 2c = 17 - 2(7) = 3.
Could someone help me with this
Answer:
the first and third one
Step-by-step explanation:
Substitute the known value of x into y=4x+20. Then solve for y entering the equation in simplest form
Answer:
[tex]y=24,[/tex] when [tex]x=1[/tex].
Step-by-step explanation:
Given: [tex]y=4x+20[/tex]
To find: Value of [tex]y[/tex], substituting the known value of [tex]x[/tex]
We have,
[tex]y=4x+20 ...(i)[/tex]
Putting [tex]x=1[/tex] in equation [tex](i)[/tex], we get
[tex]y=4(1)+20[/tex]
[tex]\implies y=4+20[/tex]
[tex]\implies y=24[/tex]
Hence, the value of [tex]y[/tex] is [tex]24[/tex], when the value of [tex]x[/tex] is [tex]1[/tex].