If EG=25 and point F is 2/5 of the way between E and G, find the value FG. The drawing is not to scale.
a. 12.5
b. 10
c. 20
d. 15
d. 7
Answers
This can be done by multiplying the two numbers.
2/5 × 25 = 10
10 is the distance from E to F.
So now that you have EF and know the overall length of EG (25), you can easily find FG.
25 - 10 = 15
The answer is:
d. 15
Related Questions
Molly bought a case of bottled water at the store. The case contains 48 bottles. Molly knows that she will drink 3 bottles of water each day and plans to restock her supply of water once she has fewer than 10 bottles left. Determine which inequality is used to find the number of days, x, before Molly will need to restock her supply of bottled water
Answers
48 - 3x < 10 we use is less than because "has fewer than"
If you solve this inequality by subtracting 48, then dividing by -3 (switch inequality sign), you get x > 12[tex] \frac{2}{3} [/tex]
48 - 3x < 10, x=13
13 days
Which figure shows how a shape can be rotated about an axis to form a cone?
A. Triangle
B. Circle
C.Square
D. right triangle
Answers
The figure that shows how a shape can be rotated about an axis to form a cone is (d) right triangle
How to determine the figure?The shapes are given as:
A. Triangle
B. Circle
C.Square
D. right triangle
Rotating a circle about its axis would form a sphere, while a square would be rotated to form a cylinder.
However, when a right triangle is rotated, it forms a cone
Hence, the figure is (d) right triangle
Read more about rotation at:
https://brainly.com/question/4289712
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Answers
F = m*a This is the second Law of Newton
2) option J
d = √ [a^2 + b^2 ]
That is the application of Pythagorean theorem, which applys for right triangles.
3) Use sine ratio
sin (30°) = opposite-leg / hypotenuse
=> opposite-leg = hypotenuse * sin(30°)
opposite-leg = f(h)
hypotenuse = h
sin(30°) = 1/2
=> f(h) = h * 1/2
=> option c. f(h) = (1/2)h
4) The formula for the volume of a cylinder is V = area of the base * height
Here area of the base = π(r^2)
height = 2r
=> V (r) = 2π(f^3) <----- option G.
5) The slope - y -intercept function of the line is y = mx + b where m is the slope and b is the y-intercept.
In this problem m = c and b = d
So, the answer is y = cx + d <------ option B.
6) Use the formula speed = distance / time => time = distance / speed
=> f(x) = x / m < ------ option J
7) Use the equation of the distance
distance^2 = (x - x1)^2 + (y - y1)^2
given y = 2x + 7 and (x1,y1) = (3,0)
=> distance^2 = (x - 3)^2 + ( 2x + 7 - 0)^2
=> distance^2 = (x - 3)^2 + (2x + 7)^2
=> f(x) = √ [ (x - 3)2 + (2x + 7)^2 ] <------- option D
Which answer is equal to i58 ?
−i
i
−1
1
Answers
As per complex number, the value of [tex]i^{58}[/tex] is (- 1).
What is a complex number?"Complex number is the number that is expressed in the form of [tex](a + ib)[/tex]where, 'a', 'b' are real numbers and 'i' is an imaginary number."
Therefore, the simplified value is
[tex]i^{58} \\= (\sqrt{-1})^{58} \\= (-1)^{29} \\= -1[/tex]
Learn more about a complex number here: https://brainly.com/question/10251853
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-0.785714286 as a fraction
Answers
Jon makes $78 in 12 hours of work for his mom. how much would jon make in 20 hours of work
Answers
for 20 hrs...
6.50 * 20 = $ 130 <==
Answer:
$130
Step-by-step explanation:
This is a direct proportionality between the amount he makes and the time worked. As the time increases, so does the amount he makes and vice versa.
Let the amount made be A and the time T
A ∝ T,
A = KT where K is the constant of proportionality
where Jon makes $78 in 12 hours of work, A = 78, T = 12
78 = 12K
K = 6.5
A = 6.5T
In 20 hours of work, T = 20
A = 6.5 × 20
A = $130
If b= the number of boys, which algabraic expression represents the phase?
Answers
A farmer has 6 1/2 of land for growing crops. If she plants corn on 3/5 of land, how many acres of corn will she have?
Answers
A population of rabbits is growing exponentially. The function f(x) = 5(2)t models the number of rabbits after t months.
Based on the model, what is the growth factor for the population of rabbits?
Answers
Tell me if its right...
Answer:
The growth factor is '2'
Step-by-step explanation:
Here, the given function that represents the population of the rabbits that is increasing exponentially,
[tex]f(x)=5(2)^t----(1)[/tex]
Since, the growth factor is a multiplier that increases the value per period,
Also, in an exponential growth function,
[tex]y=ab^x[/tex]
b is called the growth factor where x is a variable,
Since, in function (1) t is a variable ( time in months )
By comparing, b = 2,
Hence, the growth factor is 2 for the given function.
The radius of a sphere is 3 inches. Which represents the volume of the sphere?
A) 12π cubic inches
B) 36π cubic inches
C) 64π cubic inches
D) 81π cubic inches
Answers
Answer: B) [tex]36\pi \text{cubic inches}[/tex]
Step-by-step explanation:
We know that the volume of a sphere is given by :-
[tex]\text{Volume}=\dfrac{4}{3}\pi r^3[/tex], where r is radius of the sphere.
Given : The radius of the sphere = 3 inches
Then , the volume of the sphere will be :-
[tex]\text{Volume}=\dfrac{4}{3}\pi (3)^3\\\\\Rightarrow\ \text{Volume}=36\pi \text{ cubic inches}[/tex]
Hence, the volume of the sphere = [tex]36\pi \text{ cubic inches}[/tex]
A clearance rack is marked as 35% off the regular price. A shirt on the clearance rack has a regular price of $45.99. If there is 7.25% sales tax, what will the shirt ring up for at the register?
a.
$17.26
b.
$21.67
c.
$29.89
d.
$32.06
Answers
The shirt ring-up at the register will be $32.06. Then the correct option is D.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
A clearance rack is marked as 35% off the regular price. A shirt on the clearance rack has a regular price of $45.99. If there is a 7.25% sales tax.
The shirt ring up for at the register will be given as,
⇒ $45.99 x (1 - 0.35) x (1 + 0.0725)
⇒ $45.99 x 0.65 x 1.0725
⇒ $32.06
The shirt ring-up at the register will be $32.06. Then the correct option is D.
More about the percentage link is given below.
https://brainly.com/question/8011401
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Write programs with loops that compute
a. the sum of all even numbers between 2 and 100 (inclusive).
b. the sum of all squares between 1 and 100 (inclusive).
c. all powers of 2 from 20 up to 220.
d. the sum of all odd numbers between a and b (inclusive), where a and b are user inputs.
e. the sum of all odd digits of an input. (for example, if the input is 32677, the sum would be 3 + 7 + 7 = 17.)
Answers
<3
tysm
number divided by -3 is less than 6
Answers
if you need to solve to find the number then
n > -18
Identify the hypothesis of the statement below.
If the sum of the measures of two angles is 180°, then the angles are supplementary angles.
Answers
How do you write 650 as a fraction or mixed number in simplest form?
Answers
** if u have a whole number, and u want to make it a fraction, just put it over 1
will give award to whoever answers!
justify each step in solving 4x - 3 = 9
4x - 3 + 3 = 9 + 3
4x = 12
4x/4 = 12/4
x = 3
Answers
4x = 9 + 3
4x = 12
x = 3
hope that helps, God bless!
x=3is this right?
Which unit rate is the lowest price per ounce? choice
a.25 ounces of potato chips for $3.49 choice
b.45 ounces of potato chips for $4.79 choice a choice b the unit rates are equal. the unit rates cannot be determined?
Answers
= $ 0.1396 / ounce < ---- unit rate
b. 45 ounces of potato chips for $4.79 => $ 4.79 / 45 ounces =
= $ 0.1064 / ounce. <---- unit rate
So, the answer is the unit rates are different, being the choice b, the lowest price per ounce.
Answer:
choice b
Step-by-step explanation:
im smart
A new hybrid car has a 18-gallon gas tank. On one tank of gas, the owner can drive 540 miles. The number of miles traveled varies directly with the number of gallons of gas the car uses.
a. Write an equation that relates the number of miles traveled with the number of gallons of gas used.
b. How many miles can the owner travel on 12 gallons of gas?
Answers
The equation below describes a proportional relationship between x and y. What is the constant of proportionality? y=2/7x
Answers
is the constant of proportionality is : 2/7
In a certain sequence, each term, starting with the 3rd term, is found by multiplying the previous two terms. what is the difference between the 6th and 3rd terms in the sequence? (1) the 1st term is equal to 8 times the 2nd term. (2) the 4th term is equal to 1.
Answers
Again, consider the series 2, 1/4, 1/2, 1/8, 1/16, 1/(8*16). Clearly, the difference of the 6th and the 3rd term is different for them. Insufficient.
From F.S 2, let the series be a,b,ab,ab2,a2b3,a3b5a,b,ab,ab2,a2b3,a3b5. Now we know that ab2=1ab2=1. The required difference =a3b5−ab=ab(a2b4−1)=ab[(ab2)2−1]a3b5−ab=ab(a2b4−1)=ab[(ab2)2−1]= 0.Sufficient.
If 17 is increased to 23, the increase is what percent of the original number? (this is known as the percent of change.)
Answers
The percentage of increase:
(6/17)*100=35.2942%
= 6
The percentage is for 100%
Thus, the increase divided by the original value, gives you the answer.
So, 6/23 x 100% is equal to 26.08%
If we round that answer up we get, 26.1
Hope this helps :))
Your business borrowed 10 bitcoins on May 1, when 1 bitcoin was worth $1,418.86. On June 1, 1 bitcoin was worth $2,441.29. Not counting the 1 month of interest, what is the total amount, including the principal, your business owed on June 1, in dollars?
Answers
The business owed a total of $24,464.43, including the principal, on June 1.
Explanation:To calculate the total amount your business owed on June 1, we need to find the value of the borrowed bitcoins in dollars on that date.
Step 1: Convert the number of borrowed bitcoins to dollars on May 1 by multiplying it by the value of 1 bitcoin in dollars: 10 bitcoins * $1,418.86/bitcoin = $14,188.6.
Step 2: Convert the value on May 1 to the value on June 1 by multiplying it by the change in the value of 1 bitcoin:
$14,188.6 * ($2,441.29/$1,418.86)
= $24,464.43.
Therefore, your business owed a total of $24,464.43, including the principal, on June 1.
The total amount owed on June 1, not counting the 1 month of interest, is $24,412.90.
To calculate the total amount owed on June 1, we need to multiply the number of bitcoins borrowed by the value of one bitcoin on that date.
On May 1, the business borrowed 10 bitcoins, and the value of one bitcoin on June 1 was $2,441.29. Therefore, the total amount owed on June 1, excluding interest, is calculated as follows:
Number of bitcoins borrowed = 10
Value of one bitcoin on June 1 = $2,441.29
Total amount owed on June 1 (in dollars) = Total amount owed on June 1 (in dollars) = [tex]10 \times $2,441.29[/tex]
Total amount owed on June 1 (in dollars) = $24,412.90
Thus, the total amount owed on June 1, not counting the 1 month of interest, is $24,412.90.
There are 14 dogs in a particular class at a dog show. Blue, red, yellow, and white ribbons will be awarded to the first through fourth place finishers, respectively. In how many different ways can the ribbons be awarded?
1001
6006
24024
38416
Answers
There are 13 possibilities for second place, since a dog can't get both first and second place.
There are 12 possibilities for third place, since a dog can't get both first, second, and third place.
There are 11 possibilities for fourth place, since a dog can't get both first, second, third, and fourth place.
Multiply them together and get 24024 possibilities.
Hope this helps!
Answer:
24,024
Step-by-step explanation:
on god
How many hours did Miriam stop to rest
Answers
Solve the inequality. -2/3x – 10 < 1/3
Answers
Hope this helps
-2/3x-10<1/3
add 10 to both sides
-2/3x<10 1/3
divide -2/3 (which means to flip the numbers and multiply!)
since you divide by a negative, you flip the sign!
x> -31/2, -15.5, -15 1/2
are the lines the same if the right line is a translation of the left line 4 units to the right
Answers
What is the answer for 623 divided by 20?
Answers
i. e 31 3/20
=
31.15........
What is Indegree and Outdegree of a graph?
Answers
Outdegree-The number of outward directed graph edges from a given graph vertex in a directed graph.
Find the prime factorization of 210.
2 X 3 X 5 X 7
2 X 3 X 35
2 X 7 X 15
Answers
________________________________________________________
210 = 70 * 3 ;
70 * 3 = 35 * 2 * 3 ;
35* 2* 3 = 7 * 5 * 2 * 3 ; which corresponds to "Answer choice: [A]." .
________________________________________________________
Answer: 2 X 3 X 5 X 7
Step-by-step explanation:
The given number to find the prime factorization =210
We know that 210 can be written as [tex]21\times10[/tex]
Also , 21 can be written as [tex]3\times7[/tex].
And 10 can be written as [tex]2\times5[/tex]
Then , the prime factorization of 210 is given by :-
[tex]210=21\times10\\\\=3\times7\times2\times5[/tex]
Hence, the prime factorization of 210= 2 X 3 X 5 X 7
PLEASE HELP! 15 POINTS
Answers
she earns 550 per week
so that is one one side of the equation 550w
the other side would be the 4500 she spent plus the 200 per week' so 4500 +200w
equation is 550W> 4500+200W