There are 4 people who only like apples, and 6 people who do not like any fruit.
Since in a survey of 80 people it was found that 60 liked oranges only and 10 liked both oranges and apples, and the number of people who liked oranges is five times the number of people who liked apples, to determine the number of people who liked apples only and the number of people who didn't like any of these fruits, the following calculations must be performed:
First, the number of people who like apples must be determined, knowing that it is 5 times less than the number of people who like oranges.
(60 + 10) / 5 = X 70/5 = X 14 = X
Thus, 14 people like apples, of which 10 of them also like oranges. So there are 4 people who only prefer apples, added to 60 people who prefer oranges and 10 who like both fruits. This gives a total of 74 people, which implies that 6 people do not like any fruit.
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The quadrilateral ABCD is a rhombus with diagonals AC = 12 ft and BD = 4 ft. The points M and N divide diagonal AC on three equal parts. Prove that BMDN is a square and find its area.
Answer:
area of BMDN 8 ft²
Step-by-step explanation:
In BMDN the diagonals are BD and MN.
MN is 12/3 = 4 ft long, and BD = 4 ft.
A rhombus with equal diagonals is a square, so BMDN is a square.
In the right triangle BDN, the diagonal BD is the hypotenuse, then:
DN² + NB² = BD²
but DN = NB, then:
2*DN² = 16 ft²
DN² = 8 ft²
The area of BMDN is computed as one of its sides squared. Then, DN² is its area
1 Beverly investe $18,000n an account that pays 5% annual simple interest. Beverly win
not make any additional deposits or withdrawals. How much interest Will Beverly earn on
her investment at the end of 5 years
Answer:
She'll earn $4973.07 coming to an amount of $22,973.07
Step-by-step explanation:
( Quick Response) Which expressions are equivalent?
Answer:
A, 3x-7y=-7y+3x
Step-by-step explanation:
If $125 is invested at an interest rate of 18% per year and is compounded continuously, how much will the investment be worth in 2 years?
Use the continuous compound interest formula A = Per
$123
Answer:
$174.05
Step-by-step explanation:
To find the value of the investment at a later date:
[tex]x * multiplier^n = y[/tex]
Here, [tex]x[/tex] is the original amount, [tex]n[/tex] is the number of times the amount compounds and [tex]y[/tex] is the new value.
Let's find the multiplier. Imagine the $125 to be 100%, because that is the full amount of the investment. If you add 18% onto 100%, the result is 118%.
To convert this into a multiplier, you simply divide by 100:
118 ÷ 100 = 1.18
The original amount [tex]x[/tex] in this case is equal to $125, so we can easily substitute that into the equation. We know our multiplier is 1.18. And here, the investment is compounded once per year, and this is over a two year period, meaning the original amount will be compounded twice overall. Therefore, [tex]n=2[/tex].
Finally, we substitute our values into the equation:
[tex]125 * 1.18^2 =174.05[/tex]
This means our final answer is $174.05.
one batch of walnut muffins use 1 1/3 cups of walnut how many cups of walnut are needed to make 3 3/4 batches of muffins
Answer:
multiply 1 1/3 to 3 3/4
Step-by-step explanation:
Answer:
3 2/3
Step-by-step explanation:
If you make the one batch of walnut muffins into a mixed number you get 3 2/3 so that would be how much you would need for the 3 3/4 batches of muffins
Find the 14th term of the geometric sequence 1 , − 5 , 25 , . . .
Answer:
-1220703125
Explanation:
The 14th term of the geometric sequence 1 , − 5 , 25 , . . . is (5)¹⁴ after using the geometric sequence formula.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
It is given that:
The sequence is:
1 , − 5 , 25 , . . .
The above sequence represents a geometric sequence.
Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity,
approaching either infinity or -infinity.
The common ratio = -5/1 = -5
The nth term a(n) = arⁿ⁻¹
The first term a = 1
The nth term a(n) = (5)ⁿ⁻¹
Plug n = 14
The 14th term a(14) = (-5)¹⁵⁻¹
The 14th term a(14) = (5)¹⁴
Thus, the 14th term of the geometric sequence 1 , − 5 , 25 , . . . is (5)¹⁴ after using the geometric sequence formula.
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A rectangular, above-ground swimming
pool is 18 feet long, 9 feet wide, and 54
inches deep. One cubic foot of water weighs
about 62.4 pounds. What is the total weight
of the water in the pool when it is
completely full?
A. 158 lbs
B. 729 lbs
C. 8.748 lbs
D. 45,489.6 lbs
can someone please help me, 20 points!!!
Answer:
9.4 = x
Step-by-step explanation:
You are given the hypotenuse and the adjacent side, leading you to use cosine.
Set it up:
[tex]cos48 = \frac{x}{14}[/tex]
Multiply everything by 14, to remove it from the denominator:
[tex]14(cos48 = \frac{x}{14})[/tex]
[tex]14cos48=x[/tex]
Multiply accordingly:
9.36 = x
Round to nearest tenth:
9.4 = x
does anyone understand the Pythagorean Theorem
Answer:
a^2 + b^2 = c^2
Step-by-step explanation:
In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
a^2 + b^2 = c^2
a = side of right triangle
b = side of right triangle
c = hypotenuse
*can only be used for a RIGHT triangle*
( hope i was able to help)
The area of Miguel’s rectangular garden is 450 square feet. The garden is 9 feet wide.
How many feet of fencing will Miguel need to buy to enclose the garden on all four sides?
Answer: 118 feet
Step-by-step explanation:
For a rectangular shape: Area = W × L
450 = 9 × L
450 ÷ 9
L = 50
Perimeter of a rectangular shape = 2L + 2W
Perimeter = (2 × 50) + (2 × 9)
= 100 + 18 = 118 feet
Using the image below to answer the question. Using the segment addition postulate find the value of X
The value of x is 13. Therefore, option B is the correct answer.
Given that, EF=7x+9, FG=3x+4 and EG=143.
What is a line segment?A line segment is a part of a line that connects two points which are considered to be its endpoints. It is the distance between two points that can be measured.
Now, EG=EF+FG
⇒143=7x+9+3x+4
⇒10x+13=143
⇒10x=130
⇒x=13
The value of x is 13. Therefore, option B is the correct answer.
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What is f(0)?
Im pretty sure the answer is infinity or DNE.
Please help
Answer: It represents the y intercept of f(x). ... f(0) represents the ordinate of the point where the function intersects the y axis. This is the y intercept of the function.
Step-by-step explanation:
How many peaks does this graph have? Algebra 1
Answer:
One. see it for the ages of 50-59.
Please help as quick as you can! Question is below! Brainliest!
Answer:
Cylinder = [tex]\pi[/tex]* [tex]r^{2}[/tex] * h
Rectangle = l*w*h
Cone = 1/3 [tex]\pi[/tex]* [tex]r^{2}[/tex] * h
Pyramid = 1/3 b*h
Step-by-step explanation:
Place the indicated product in the proper location on the grid.
(ab - 9)(ab + 8)
Answer:
(2b)
Step-by-step explanation:
Please help me on number one I will mark you as the best answer
Answer:
-4n - 40 > -120
<=> -4n > -80
<=> 4n < 80
<=> n < 20
=> Option B is correct.
q/(-7) + 1 > 5
<=> q/(-7) > 4
<=> q < 4 x (-7)
<=> q < -28
=> Option C is correct.
Hope this helps!
:)
Two sides is a triangle have the following measures. Find the range of possible measures for third side.
Answer:
last one
Step-by-step explanation:
the least is 10. so 10 plus one of the number is always greater than the other number. The max is 62. 62 plus any number is greater than the othe
6 < x < 64
Therefore, option b) is correct.
Step-by-step explanation:
Given :
Two sides of the triangle -- 35 , 29
Solution :
Let y, z and x are the sides of the triangle and given that y = 35 and z = 29.
Then ,
y - z < x < y + z
35 - 29 < x < 35 + 29
6 < x < 64
Therefore, option b) is correct.
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Use the tool to measure the sides and angles of the triangles. Triangle XYZ is the pre–image. Are the triangles similar? Yes, No, Not Enough Information. If so, what is the scale factor going from triangle PQR to triangle ZYX? 1/4, 1/2, 2, cannot be determined
Answer:
"yes" the triangles are similar
the scale factor going from triangle PQR to triangle ZYK is "2"
Step-by-step explanation:
i just did it :3 good luck!
Answer:
"yes" and "2"
A demand ___ is a graphic representation of the law of demand
a. schedule
b. curve
c. projection
d. model
Answer:
I think it is b. Curve
Step-by-step explanation:
Solve for b.
b + 0.6 = -1
What is the answer ?
A. b = -1.6
B. b = -0.4
C. b = 0.4
D. b = 1.6
What’s this answer Im tried everything
Answer:
the answer is B, you can try graphing them if u need to verify it
help me please ( i’ll give 20 points for this )
Answer:
108
Step-by-step explanation:
add 90+68+94, which will give you 252. subtract that from 360 because it‘s a quadrilateral and you will get 108 :)
Answer:
64°
Step-by-step explanation:
See the angle is smaller than 108° and it is not 90° so the answer is 64°
Which two consecutive integers does −[tex]\sqrt{155}[/tex] lie between?
A) 11 and 12
B) 12 and 13
C) −11 and −12
D) −12 and −13
Factor completely 2x2 − 32.
Answer:
2(1x1-16)
Step-by-step explanation:
1. Find the gcf (greatest common factor) which is 2
2. Divide by each of the factors and put it inside of the parentheses
I need help with this ASAP!!!
Answer:
sqrt d = 10
d = (10)^2
d = 100
Part b
x^2 = 144
x = 12 or -12
Step-by-step explanation:
Please Help!!! Explain how to solve!!! Extra points and brainiest will be given
Answer:
2,493.796 => 2493.8
Step-by-step explanation:
Answer:
2,492.5 mm^2
Step-by-step explanation:
The formula to find the Surface area is 2 pi r^2 + 2 pi r x h
So, 2 pi 14.7^2 + 2 pi 14.7 x 12.3
2 pi 216.09 + 2 pi 180.81
2 x 678.5226 + 2 x 567.7434
1,357.0452 + 1,135.4868
2,492.532
The surface area of this cylinder is 2,492.5 mm^2
Find the distance between P and Q.
Answer: 10
Step-by-step explanation:
Can someone help and explain A and B please...
A volcano Irruption blasts a boulder upward with an initial velocity of 240 ft./s This modeled by the equation h(t)=-16t^2+240t. How heigh will the boulder be after 5 seconds?
Answer:
1600 ft
Step-by-step explanation:
An equation has solutions of m= -5 and m = 9. Which could be the equation?
(m + 5)(m - 9) = 0
(m-5)(m + 9) = 0
m2 - 5m + 9 = 0
Om2 + 5m - 9= 0
Answer:
[tex](m+5)(m-9)=0[/tex]
Step-by-step explanation:
you set each of them equal to zero,
[tex]m+5=0[/tex]
[tex]m-9=0[/tex]
and solve for 'm'
Answer: Option A
(A) (m +5 )( m-9 ) = 0
Step-by-step explanation: