Answer:
Edna had $510 more amount of money than Toby in the end.
Step-by-step explanation:
LET :-
Edna's amount of money - x
Fatimah's amount of money - y
Toby's amount of money - z
Now,
By the question,
x = 4y
y : (y + z) = 5 : 8
y - 30 = z + 30
Now,
y : (y + z) = 5 :8
or, y/(y + z) = 5/8
or, 8y = 5y + 5z
or, 3y = 5z
so, y = 5z/3
Now,
y - 30 = z + 30
or, 5z/3 - 30 = z + 30
or, (5z - 90)/3 = z + 30
or, 5z - 90 = 3z + 90
or, 5z - 3z = 90 + 90
or, 2z = 180
so, z = 90
Toby's amount of money - $90
Now,
y = 5z/3
or, y = 5 * 90/3
or, y = 5 * 30
so, y = 150
Fatimah's amount of money - $150
Again,
x = 4y
or, x = 4*150
or, x = 600
Edna's amount of money - $600
Now,
$600 - $90
= $510
Therefore,Edna had $510 more amount of money than Toby in the end.
You have 5/10 of a pizza left over from your pool party. If you sent 7/11 of the leftover pizza home with your friends, how much of the pizza do you have left in the box?
Answer:
Step-by-step explanation:
[tex]\frac{5}{10} * \frac{7}{11} = \frac{35}{110}\\ \frac{35}{110} = \frac{7}{55}[/tex]
Answer:
2/11.
Step-by-step explanation:
5/10 is 1/2, and you sen 7/11 of this away, meaning you have 4/11 for yourself. Multiplying 4/11 by 1/2, we get 2/11.
Angle ABC and angle CBD are complementary. What is the value of X?
Answer:
26
Step-by-step explanation:
complementary means two angles that add up to 90 degrees
90-38=52
52÷2=26
to check work you can do 26×2 (since there's 2x) = 52
52+38=90
If 10Px=5040, then find the possible value of x
Answer:
504 Paise
Step-by-step explanation:
10x = 5040
x = 5040/10
x = 504
EASY (25 POINTS)
Set up an equation
Answer:
D
Step-by-step explanation:
You want to make sure your coefficients in the first equation are 0.25 and 0.05 and add up to the total price. (3.65)
You want to make sure you have an equation that models the amount of coins, which was said to be 20 coins.
5 x 5/6 in simplest form
Find the value of x.
(3x + 67)
130°
记
x = [?]°
Enter
The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 7% of his customers buy a magazine and he thinks that he might be able to use the display space to sell something more profitable. Before making a final decision, he decides that for one day he will keep track of the number of customers that buy a magazine. Assuming his suspicion that 7% of his customers buy a magazine is correct, what is the probability that exactly 4 out of the first 14 customers buy a magazine
Using the binomial distribution, it is found that there is a 0.0116 = 1.16% probability that exactly 4 out of the first 14 customers buy a magazine.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
7% of his customers buy a magazine, hence p = 0.07.A sample of 14 customers is taken, hence n = 14.The probability that exactly 4 out of the first 14 customers buy a magazine is P(X = 4), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{14,4}.(0.07)^{4}.(0.93)^{10} = 0.0116[/tex]
0.0116 = 1.16% probability that exactly 4 out of the first 14 customers buy a magazine.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
Maria wants to join a music class. Music class A charges an enrollment fee of $24.00 plus $12.00 per hour, and music class B charges an enrollment fee of $20.00 plus $16.50 per hour.
The graph below represents the fee for music class A and music class B.
According to the graph above, at approximately how many hours will the total fee for both the classes be equal?
1. 2.4
2. 1.8
3. .2
4. .8
Answer:
Its .8 or #4.
Step-by-step explanation:
how many solutions are there to each of these equations?
Answer:
first one, put value of x= -3 and y = 0
second one, pit vale of x=7 and y= -7
Step-by-step explanation:
first one,
-14(-3) -20(0) =42
or, 42-0 = 42
or, 42 = 42
proved
second one,
-14(7) -20(-7) = 42
or, -98 + 140=42
or, 42 = 42
proved
Old Navy has a sale on $15 shirts: buy 3
and get 40% off. How much would 3
shirts cost on sale?
The amount that the would be paid after 40% discount is $27
Word ProblemGiven Data
Cost of a shirt = $15Discount = 40%Let us find the cost of three shirt
= 15*3
= $45
Let us find 40% discount of $45
= 40/100*45
= 0.4*45
= $18
Let us find the amount after discount
= 45-18
= $27
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Please help! I cant seem to solve any of my problems
If the area of the park is 180 square feet and the length of the park is 18 feet. What is the width of the park.
Where does the Democratic Republic of the Congo (DRC) rank for size globally?
A. 10
B.12
C. 8
D. 14
A right triangular prism is sliced parallel to it's base. What is the shape of the resulting two dimensional cross section?
Answer:
Triangle
Step-by-step explanation:
PLEASE HELP ASAP! Find the volume of the prism.
[tex]30 + 2 \sqrt{3} cubic \: units[/tex]
This the answer
Answer:
5sqrt3
Step-by-step explanation:
Know that area of a Equilateral triangle is
[tex] \frac{ \sqrt{ 3} }{4} {a}^{2} [/tex]
where as a is the side of it.
so area of the triangle in the base of the prism is
[tex] \frac{ \sqrt{ 3} }{4} \times {2}^{2} = \sqrt{3} [/tex]
so the volume will be
[tex]area \: of \: the \: base \: of \: the \: prism \: \times the \: length \: of \: it = 5 \sqrt{3} [/tex]
Question is in picture
Answer:
I would say city B.
Step-by-step explanation:
Because NC is closer to the equator than Ohio, Ohio might have weirder weather. I've also read that Ohio's weather is always super unstable and always a gamble. I'm not 100% sure tho. Hope that helps! (:
Payton bought a couple new dog toys for her puppy. The bone she bought cost $5.25and the frisbee cost $6.75. About how much did the toys cost? ESTIMATE UR ANSWER AND SHOW UR WORK PLS!
6. Roger bought a hamburger and french fries for $4.84. He paid with a $10 bill. Abouthow much change should he have gotten back? ESTIMATE UR ANSWER AND SHOW UR WORK PLS!
Answer:
The toys cost about $12.
Roger should have gotten back about $5.15 in change.
Step-by-step explanation:
Dog Toys Question:
Bone cost $5.25, so you can estimate it to be about $5.
Frisbee cost $6.75, so you can estimate it to be about &7.
To get estimated total, add $5 + $7 = about $12 total.
Roger's Change Question:
The hamburger and fries cost $4.84, so you can round that out to $4.85.
$10 - estimated $4.85 = about $5.15 in change.
You could also round the $4.84 cost of the hamburger and fries to $5 even. In this case, $10 - estimated $5 = about $5 in change.
how do I write an expression that is equivalent to 3(7 + x)?
Answer:
21 + 3x
Step-by-step explanation:
Use Distributive property: a(b + c) =(a *b) + (a*c)
3( 7 + x)= 3*7 + 3*x
= 21 + 3x
Translate the following:
“Four times the cube root of x, minus nine”
Answer:
D, because the word problem separates the minus nine with a comma.
a is incorrect because there is no cube root
b is incorrect because again, no cube root
c is incorrect because the minus nine should not be within the cube root
Four times the cube root of x, minus nine is [tex]4\sqrt[3]{x-9}[/tex].So, our correct answer is 3. [tex]4\sqrt[3]{x-9}[/tex] .Here are a few ways to write "Four times the cube root of x, minus nine":
4 * √(x) - 9
4√(x) - 9
[tex]4\sqrt[3]{x-9}[/tex]
The first way to write it is the most literal way. It uses the multiplication symbol (*) to indicate that we are multiplying 4 and √(x). The second way to write it is a bit more concise. It uses the exponent notation to indicate that we are taking the cube root of x. The third way to write it is the most mathematical way. It uses the LaTeX symbol for the square root, which is \sqrt{}.Which way you choose to write it depends on the context. If you are writing in a more informal setting, you might use the first way. If you are writing in a more formal setting, you might use the third way
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How much is 1 inch pls answer this question for me smart ones
Answer: 2.54 centimeters
Step-by-step explanation: multiply the length value by 2.54
Help now ill give brainly!!!
Answer:
I think is no triangle possible.
Step-by-step explanation:
There is no 2 or 5.
I hope this helps. If it is wrong I am sorry. Please have a good day
Find the value of x.
Answer: 52 degrees
Step-by-step explanation: the sum of interior angles of a triangle is equal to 180 degrees. So, the missing angle is equal to 180-90-38
the radius r of a sphere is 4cm and is increasing at the rate of 0.5cm . At what rate is the volume?
Answer:
32π or 100.53 cm^3 to the nearest hundredth.
Step-by-step explanation:
dr/dt = 0.5
V = (4/3)π r^3
So dV/dr = (4/3)* 3 π r^(3-1)
= 4πr^2
Rate of increase in volume:
dV/dt = dV/dr * dr/dt
At r = 4:
Rate of increase in Volume
dV/dt = 4π(4)^2 * 0.5
= 64π * 0.5
= 32π.
What is Slope for y= -x - 3
Answer: -1
in a function:
f(x) = mx + b
or
y = mx+ b
y=f(x) so,
y = -(1) x - 3
m=slope --------
x=x-coordinate
b=y-intercept
Johnson cut a round pizza into 12 equal pieces. He ate 4 adjacent pieces. What is the measure of the angle of the pizza that Johnson ate?
A.
48°
B.
90°
C.
120°
D.
160°
Answer:
C 120 degrees
Step-by-step explanation: 3 times 4 equals 12 so if 4 peices are eaten then there is only 2/3 left so theres only 240 degrees left of the pizza so we take 360 minus 240 we get 120 so there is 120 degrees of pizza eaten by johnson.
A factory makes circular rugs with a radius of 6.5 feet. How much braid do
they need to go all the way around the outside of the rug? Use 3.14 for it.
A 40.82 ft
B 132.67 ft
C 20.41 ft
D R 16.14 ft
4. Find the surface area of the triangular prism:
5 ft
5 ft
3 ft
14 ft
8 ft
Shows work please
Answer:
276ft^2
Step-by-step explanation:
A triangular prism is made up of multiple faces, just like any three-dimensional shape. Let's do the calculations for this shape together.
Top two faces: 5ft × 14ft × 2 = 140ft^2 (we multiply by two b/c there are two rectangles, so we save a step)
Front and back face: 8ft × 3ft = 24ft^2 (we do not divide by two b/c there are two triangles, so we save a step)
Bottom face*: 8ft × 14ft = 112ft^2
*Note: Don't solve for this face when calculating latent surface area, or when calculating the SA of a compound shape.
Now, we just add up the areas of all the shapes.
140 + 112 + 24 = 276
Final answer: 276ft^2
i will give brainliest
A) 480
B)960
C) 2,880
D) 320
Answer:
D) 320
Step-by-step explanation:
10 x 8 for the base is 80. For the 4 triangles it is 12 x 10 divided by 2 x 4 which gives you 240. 240 + 80 is 320.
How many ways are there to choose a soccer team consisting of 3 forwards, 4 midfield players, and 3 defensive players, if the players are chosen from 9 forwards, 7 midfield players, and 7 defensive players?
Using the combination formula, it is found that there are 37,044 ways to form the soccer team.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem:
3 forwards are taken from a set of 9.4 midfielders are taken from a set of 7.3 defenders are taken from a set of 7.Since they are independent of each other, the total number of combinations is given by:
[tex]T = C_{9,3} \times C_{7,4} \times C_{7,3} = \frac{9!}{3!6!} \times \frac{7!}{3!4!} \times \frac{7!}{3!4!} = 37,044[/tex]
There are 37,044 ways to form the soccer team.
More can be learned about the combination formula at https://brainly.com/question/25821700
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I borrowed $25,000 for 5 years at a 5% interest. What was the total interest?
Answer:
The Total interest paid is $3,306.87