Solving Problems on Similarity.
The triangle AEB is similar to triangle CED. Their similarity can be defined by SAS, that is, two similar sides and
two pounds of flour cost 1.20 .How much flour do you get per dollar?
1.67 pounds flour we get per dollar.
What does pounds mean in weight?Pound, avoirdupois weight unit equivalent to 16 ounces, 7,000 grains, or 0.45359237 kg, and troy and apothecaries' weight unit equal to 12 ounces, 5,760 grains, or 0.3732417216 kg The symbol lb comes from the Roman predecessor of the contemporary pound, the libra.
Given,
Cost for 2 pounds of flour = $ 1.20
Cost per pound of flour = $ 1.20 /2
= $ 0.20
Now for 2 dollar we get flour = 2 pounds.
for 1 dollar we will get flour = 2/1.20 pounds
= 1.6666 pounds
i.e. for 1 dollar we will get flour = 1.67 pounds.
So, 1.67 pounds flour we get per dollar.
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A director's sales for the week are:
$600
$1,500
$800
$1300
$800
What is the "mean"?
To find the mean, also known as the average, we need to add up all the sales and divide by the total number of sales:
Mean = (Total sales) / (Number of sales)
Total sales = $600 + $1,500 + $800 + $1,300 + $800 = $5,000
Number of sales = 5
Mean = $5,000 / 5 = $1,000
Therefore, the mean of the director's sales for the week is $1,000.
is 25 60 65 a right triangle
Answer:
No
Step-by-step explanation:
may i be marked as brainliest?
Answer:
Yes
Step-by-step explanation:
A triangle is right if its sides follow the Pythagorean triples.
We can simplify 25, 60, 65 by dividing by 5 for each number.
By doing this we get:
5, 12, 13
If you memorized the Pythagorean triples, you can immediately know that 5, 12, 13 is one of them. Therefore, 25, 60, 65 is a right triangle.
I will give the brainiest
Tim has 74 socks, all in pairs. He has 1 more pair of white socks than black socks. How many
individual socks of each color does he have?
black socks
white socks
Answers:
36 individual black socks
38 individual white socks
Check: 36+38 = 74 total individual socks
====================================================
Work Shown:
b = number of pairs of black socks
w = number of pairs of white socks
w = b+1 since he has 1 more pair of white socks compared to black socks
2b = number of individual black socks
2w = number of individual white socks
2b+2w = total number of individual socks
2b+2w = 74
2b+2(b+1) = 74 .... plug in w = b+1
2b+2b+2 = 74 ... distribute
4b+2 = 74
4b = 74-2 .... subtracting 2 from both sides
4b = 72
b = 72/4 ... dividing both sides by 4
b = 18 is the number of pairs of black socks he has
2b = 2*18 = 36 is the number of individual black socks he has
w = b+1 = 18+1 = 19 is the number of pairs of white socks he has
2w = 2*19 = 38 is the number of individual white socks he has
2b+2w = 36+38 = 74 individual socks overall
What is the solution to 3+x=x+3
Answer:
all real numbers
Step-by-step explanation:
if you subtract x from both sides, you get x=x. This is true for basically any number
The perimeter of any rectangle in which the length is 4 more than twice the width is P = 6 w + 8 , where w is the width. Which formula can be used to find the width given the perimeter? Multiple choice question. cross out A) w = P − 4 3 cross out B) w = 1 6 P − 8 cross out C) w = − P + 8 6 cross out D) w = P − 8 6
Answer: option D
Step-by-step explanation:
Given equation:
P = 6 w + 8 [eq1]
l=2w+4 [where l is length]
using eq1 we have:
6w=P-8
w=(P-8)/6
hence option D
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help. use the figure shown to the right to find the value of x
Answer:
\(\begin{aligned}x &= 16\sqrt3 \\ &\approx 27.7\end{aligned}\)
Step-by-step explanation:
We can see that the longer leg (a) of a right triangle is half of the circle's radius. Since we are given the other two sides of the triangle (shorter leg and hypotenuse), we can solve for the length of the longer leg using the Pythagorean Theorem:
\(a^2 + b^2 = c^2\)
↓ plugging in the given values
\(a^2 + 2^2 = 14^2\)
↓ subtracting 2² from both sides
\(a^2 = 14^2 - 2^2\)
\(a^2 = 196 - 4\)
\(a^2 = 192\)
↓ taking the square root of both sides
\(a = \sqrt{192\)
↓ simplifying the square root
\(a = \sqrt{2^6 \cdot 3\)
\(a = 2^{\, 6 / 2} \cdot \sqrt3\)
\(a = 2^3\sqrt3\)
\(a = 8\sqrt3\)
Now, we can solve for the radius (x) using the fact that the longer leg of the triangle is half of it.
\(a = \dfrac{1}{2}x\)
↓ plugging in the a-value we solved for
\(8\sqrt3 = \dfrac{1}2x\)
↓ multiplying both sides by 2
\(\boxed{x = 16\sqrt3}\)
Which situation would you describe with a negative integer?
(a)A price increase of $5
(b)A 10-yard gain in football
(c) fall of 25 feet
(d)A helicopter at 200 feet above a launching pad
Elena has some bottles of water that each hold 17 fluid ounces. Write an equation that number of bottles of water (b) to the total volume of water (w) in fluid ounces.
Answer:
Step-by-step explanation:
w x 17=b
describe what is being done in each step while solving the equation -2x + 6 +6x = 6 ( 2x -3 )
-2x + 6 + 6x = 12x - 18
4x + 6 = 12x - 18
6 = 8 × - 18
24 = 8x
3=x
please solve!
-2x + 6 + 6x = 6 (2x - 3) this is the equation
-2x + 6 + 6x = 12x - 18 distributive property has been applied
4x + 6 = 12x - 18 like terms have been added
6 = 8x -18 4x has been subtracted from both sides
24 = 8x -18 has been added to both sides
3 = x 8 has been divided from both sides
I hope this helps! Let me know if I need to explain more or if I got something wrong. Have a nice day!
A customer at the store wanted to buy a different watch that was listed at $88 but had a 15% discount. Then the customer had to pay a sales tax of 5% on the discounted price. How much did the customer pay for the watch? *
Step-by-step explanation:
88 X 0,15 =....
... X 1.05 = answer
need help, im confused
Answer:
Part A: correct
Part B: $20
Step-by-step explanation:
Part B:The amount Vanessa pays for her printer and 2 cartridges is ...
$90 +2(25) = $140
The amount Tia pays for her printer and 2 cartridges (c=2) is ...
t = 80 +20(2) = 120 . . . . dollars
Then the difference in the amounts they pay is ...
$140 -120 = $20
How many x-intercepts would the function shown below have? f(x)=x^2(x^2-3)(x+4)(x^2+4)(6x+5) f(x)=x 2 (x 2 −3)(x+4)(x 2 +4)(6x+5)
Answer:
Please be more clear.
Step-by-step explanation:
please help me (I have to write something to send this question)
Answer:
One of those 16 is a negative 16.
Step-by-step explanation:
One of the 16 is negative because when 16 and negative 16 are combined it equals 0
diego boils 10 cups of water. how many cups of oats should he add into the water
Answer:
the answer is 5 cups. Hope this helps
Answer:
4 cups of oats.
Step-by-step explanation:
That’s 0.4 cups of oats per cup of water. The ratio of the cups of water to the cups of oats is . That’s 2.5 cups of water per cup of oats.
5/2 · x = 1 I need help asap
Answer:
x = 2/5
Step-by-step explanation:
x is equal to 2/5
5/2 • x = 1
Please help it’s URGENT!
The least common denominator needed to solve the equation is given as follows:
D. x(x - 3).
How to obtain the least common denominator?The equation in this problem is given as follows:
1/x + 2/(x - 3) = 5.
The denominators of each expression are given as follows:
x.x - 3.x and x - 3 are not factors of each other, hence we multiply them and the least common denominator needed to solve the equation is given as follows:
D. x(x - 3).
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Can I get help please?
Please help. I'm really confused on how to solve this.
Jose gets his hair cut for $12. He gives his barber a
15% tip. How much does he give the barber for a tip?
(Plz help me)
Answer:
he would pay $13.80 the tip is $1.80
Step-by-step explanation:
A teaching hospital in South-West Part of Nigeria receives on the average 5 pregnant women with high blood pressure per week. What is the probability that on a particular week, the teaching hospital will receive:
1.) No high BP pregnant woman
Answer:
The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068
Step-by-step explanation:
We use the Exponential distribution,
Since we are given that on average, 5 pregnant women with high blood pressure come per week,
So, average = m = 5
Now, on average, 5 people come every week, so,
5 women per week,
so, we get 1 woman per (1/5)th week,
Hence, the mean is m = 1/5 for a woman arriving
and λ = 1/m = 5 = λ
we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,
P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,
Now,
P(X>1) = 1 - P(X<1),
Now, the probability density function is,
\(f(x) = \lambda e^{-\lambda x}\)
And the cumulative distribution function (CDF) is,
\(CDF = 1 - e^{-\lambda x}\)
Now, CDF gives the probability of an event occuring within a given time,
so, for 1 week, we have x = 1, and λ = 5, which gives,
P(X<1) = CDF,
so,
\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)
So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068
What is the IQR of the box plot?
Answer:
so the answer is 50%
Step-by-step explanation:The interquartile range is the difference between the upper quartile and the lower quartile. In example 1, the IQR = Q3 – Q1 = 87 - 52 = 35. The IQR is a very useful measurement. It is useful because it is less influenced by extreme values as it limits the range to the middle 50% of the values.
Evaluate e^-1.6 round your answer to five decimal places
rename 0.12
pls help me i give u a the brainlest
Step-by-step explanation:
step 1. 0.12 = 12/100 (by definition)
step 2. 12/100 = 6/50 =3/25.
Carrie has 3gallons of paint Bryan has 10quarts of paint how many more pints do Carrie have than Bryan
Carrie has 4 more pints of paint than Bryan.
Carrie has 3 gallons of paint, which is equivalent to 12 quarts (1 gallon = 4 quarts). On the other hand, Bryan has 10 quarts of paint.
To compare the quantities in the same unit, we note that 1 quart is equal to 2 pints.
Carrie's 12 quarts of paint is equivalent to 12 × 2 = 24 pints.
Bryan's 10 quarts is equivalent to 10 × 2 = 20 pints.
To find the difference, we subtract Bryan's pint quantity from Carrie's:
24 - 20 = 4 pints.
Therefore, Carrie has 4 more pints of paint than Bryan.
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2 Write 386 in expanded form
Answer:
300+ 80+6
Step-by-step explanation:
i think i not sure
Point (-3,-3) is rotated 360 degrees clockwise about the origin. Where is the new point located?
Answer:
-3-3
Step-by-step explanation:
360 deggresis a full circle soim pretty sure it stays put.
what is the integer of-2
Answer:
-2
Step-by-step explanation:
The integer of - 2 is - 2 only as integers can be positive and negative whole numbers
What is the northerly Component of a wind blowing at 15ms from the South East?
The northerly component of the wind blowing at 15 m/s from the South East is approximately 10.605 m/s.
To determine the northerly component of a wind blowing from the South East, we need to consider the direction from which the wind is coming and its magnitude.
A wind blowing from the South East means it is coming from the South East direction towards the opposite direction, which is the North West. Since the wind is coming from the South East, we can say it has a southeasterly direction.
To find the northerly component, we need to break down the wind vector into its north and east components. The northerly component represents the part of the wind that is directed towards the north.
If we assume that the wind is blowing at an angle of 45 degrees with respect to the North, we can use trigonometry to find the components. Since the wind is blowing at 15 m/s, we can consider it as the hypotenuse of a right triangle.
The northerly component can be found using the sine of the angle:
Northerly Component = Wind Speed * sin(Angle)
Northerly Component = 15 m/s * sin(45°)
Using the value of sin(45°) (which is √2 / 2 ≈ 0.707), we can calculate the northerly component:
Northerly Component ≈ 15 m/s * 0.707
Northerly Component ≈ 10.605 m/s
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Use the graph to find the distance between point A and Point E.
Answer:
7
Step-by-step explanation: