Answer:
[tex]\frac{8}{15}[/tex]
Step-by-step explanation:
2 x 4 = 8
3 x 5 = 15
8/15
What value of x would make Bl parallel to RA?
Given:
Bl parallel to RA.
To find:
The value of x.
Solution:
In triangle ATR and ITB,
[tex]\angle ATR\cong \angle ITB[/tex] [Common angles]
[tex]\angle ART\cong \angle IBT[/tex] [Corresponding angle]
[tex]\triangle ATR\sim \triangle ITB[/tex] [AA property of similarity]
We know that the corresponding sides of a similar triangle are proportional. So,
[tex]\dfrac{AT}{IT}=\dfrac{AR}{IB}[/tex]
[tex]\dfrac{x}{x+8}=\dfrac{12}{18}[/tex]
[tex]\dfrac{x}{x+8}=\dfrac{2}{3}[/tex]
On cross multiplication, we get
[tex]3(x)=2(x+8)[/tex]
[tex]3x=2x+16[/tex]
[tex]3x-2x=16[/tex]
[tex]x=16[/tex]
Therefore, the correct option is C.
If CD represents 100%, what is the length of a line segment that is 25%? Explain.
Answer:
(1/4)CD
Step-by-step explanation:
The length of a segment that represents 25% will be 1/4 as long as the segment representing 100%.
25% is 1/4 of 100%
25% = 1/4 = 0.25
PLEASE HELP I WILL MARK BRAINLIEST DUE IN 5 MINUTES
look at attachment
Answer:
A: -9a
Step-by-step explanation:
Hope that helps!
how is the graph of y=8x^2-1 different from the graph y=8x^2
Answer:
The y-int is different -1 is the y-int.
Step-by-step explanation:
How do you solve 5 * 10^-2
Answer:
0.05
Step-by-step explanation:
10^-2 = 1/100
1/100 * 5 = 0.05 or 1/20
Chelsey wants to join a fitness club. The fitness club charges an initial membership fee of $55 and a monthly fee of $19.50. She has $250 to spend on a membership at the fitness club. Which equation represents the situation? If m is the number of months.
55 + 19.50m = 250
55m -19.50 = 250
55 - 19.50m = 250
55m +19.50 = 250
Help plz
Answer:
1st option: 55 + 19.50m = 250
Step-by-step explanation:
anyone good at math?
Answer:
3.9 mi^2 (rounded)
find the 24th term in a rule of 3n+2.
a. 72
b. 74
c. 76
d. 78
Answer:
74
3n+2
3×24=72
72+2=74
The Story of Ben and Arthur- Both save $500 per month at 11% compounded monthly. Ben starts at age 19 and stops at age 26, while Arthur starts at age 27 and stops at age 65.
Answer:
Results are below.
Step-by-step explanation:
It is not clear what the question is. But, I will assume that we need to calculate the future value of each investment at age 65.
First, we need to calculate the future value of the monthly deposit made by Ben. We will use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit= 500
Interest rate (i)= 0.11/12= 0.0092
Number of months (n)= (26 - 19)*12= 84
FV= {500*[(1.0092^84) - 1]} / 0.0092
FV= $62,944.74
Now, the future value of the investment of Ben at age 65:
FV= PV*(1 + i)^n
n= (65 - 26)*12= 468 months
FV= 62,944.74*(1.0092^468)
FV= $4,574,131.31
Finally, the future value of the investment for Arthur:
i= 0.0092
n= (65 - 27)*12= 456
A= 500
FV= {500*[(1.0092^456) - 1]} / 0.0092
FV= $3,484,032.07
Mr. Howard planted a new garden. The garden is 15 feet long and 4 feet wide. What is the perimeter of mr. Howard's garden?
Answer: 38 feet
Step-by-step explanation:
Based on the dimensions of the garden, we can infer that it a rectangular garden because one side is longer than the other.
The perimeter of a rectangle is calculated as:
= (2 * length) + (2 * width)
= (2 * 15) + (2 * 4)
= 30 + 8
= 38 feet
Rewrite the linear function 7x−y=15 in slope-intercept form.
y=−7x−15
y=7x+15
y=−7x+15
y=7x−15
please help!!
In a 3-digit number, the hundreds digit is one more than the ones digit and the tens digit is twice the hundreds digit. If the sum of the digits is 11, find the number. Write and equation, where the hundredths digit is x.
Answer:
The mentioned number in the exercise is:
362Step-by-step explanation:
To obtain the mentioned number in the exercise, first you must write the equations you can obtain with it.
If:
x = hundredths digity = tens digitz = ones digitWe can write:
x = z + 1 (the hundreds digit is one more than the ones digit).y = 2x (the tens digit is twice the hundreds digit).x + y + z = 11 (the sum of the digits is 11).Taking into account these data, we can use the third equation and replace it to obtain the number and the value of each digit:
x + y + z = 11(z + 1) + y + z = 11 (remember x = z + 1)z + 1 + y + z = 11z + z +y + 1 = 11 (we just ordered the equation)2z + y + 1 = 11 (z + z = 2z)2z + y = 11 - 1 (we passed the +1 to the other side of the equality to subtract)2z + y = 102z + (2x) = 10 (remember y = 2x)2z + 2x = 102z + 2(z + 1) = 10 (x = z + 1 again)2z + 2z + 2 = 104z + 2 = 104z = 10 - 24z = 8z = 8/4z = 2Now, we know z (the ones digit) is 2, we can use the first equation to obtain the value of x:
x = z + 1x = 2 + 1x = 3And we'll use the second equation to obtain the value of y (the tens digit):
y = 2xy = 2(3)y = 6Organizing the digits, we obtain the number:
Number = xyzNumber = 362As you can see, the obtained number is 362.
If 2x − 9 = x, then 12x =____?
For the remaining portion of the living room not covered by the new flooring, Michelle wants to paint the concrete. After carefully measuring the exposed concrete, she determines 6 square feet are already painted and the remaining unpainted area forms a square with side length x. The entire area of concrete, including the painted and unpainted portions, is a total of 31 square feet. Write an equation that could be used to find the unpainted square side length x
Answer:
[tex]x^2 + 6 = 31[/tex]
Step-by-step explanation:
Given
[tex]Painted = 6ft^2[/tex]
[tex]Total = 31ft^2[/tex]
Dimension of unpainted area:
[tex]Length = Width = x[/tex] --- Square
Required
Determine an expression to solve for x
First, calculate the area of the unpainted space;
[tex]Area = Length *Width[/tex]
[tex]Area = x*x[/tex]
[tex]Area = x^2[/tex]
The unpainted area, added to the painted area, equals the total area.
So, we have:
[tex]Area + Painted = Total[/tex]
[tex]x^2 + 6 = 31[/tex]
Hence, the expression is: [tex]x^2 + 6 = 31[/tex]
Find the volume of a pyramid with a square base, where the area of the base is 19 cm^2 and the height of the pyramid is 23.8 cm. Round your answer to the nearest tenth of a cubic centimeter.
Answer:
150.7
Step-by-step explanation:
Formula to the find volume of a pyramid:
V=1/3 (B)(h)
V=1/3 (19) (23.8)
Eli wanted to order candy online. Company A is offering 2 12 pounds of chocolate for $32.50. How much is Company A charging per pound of chocolate?
Answer:
Step-by-step explanation:
To determine price per lb, divide dollar amount by lbs.
- Company A sells 2 1/2lbs (2.5lbs) for $32.50
So, Company A's price / lb = ($32.50/2.5lbs) = $13.00/lb
- Company B sells 2 3/4lbs (2.75lbs) for $35.00
And, Company B's price / lb = ($35.00/2.75lbs) = $12.73/lb
Therefore, Company B is offering the lowest price/lb at $12.73/lb.
A system of linear equations is graphed.
Which ordered pair is the best estimate for the solution to the system?
(0, −6.5)
(2, −6.5)
(−1.5, 0)
(2.5, −6.5)
Answer:
(2, −6.5)
Step-by-step explanation:
The solution to a system of equations is where they intersect
They intersect near x = 2 y = -6.5
Answer:
(2, −6.5)
Step-by-step explanation:
3(3a + 4b) + 4(2a - 5b) please answer quick
Step-by-step explanation:
3(3a+4b)+4(2a-5b)
=9a+12b+8a-20b
=17a-8b
i need help pls its a review form few years ago i cant rember the greeen and gray box pls help me
Answer:
The answer is 21 remainder 6
Step-by-step explanation:
State the domain of
f(x) = log2(2x - 5)
Answer:
Domain:
(−∞,5/2),{x/x<5/2}
Step-by-step explanation:
not sure tho wait for someone else to see if its true
PLS HELP LOLZ <33
tasha is putting money into a savings account with a simple interest rate of 4% per year. if she initially deposits $6,000, then how much will her investment be worth at the end of six year
Answer: tasha's investment will be worth $1,440
Step-by-step explanation:
4%= 4/100= 0.04
PRT=6,000*0.04*6= $1,440
The area of a parallelogram is 125 square inches and the height of the parallelogram is 10 inches. What is the lenght of the base of the parallelogram?
18.75 inches
25 inches
6.25 inches
12.5 inches
Answer:
12.5 inches
Step-by-step explanation:
Im taking the exam!!
The first positive angle between the initial and terminal arm of an angle in standard position is called the
Answer:
The initial arm of an angle rotates to its terminal position, either in a positive, counterclockwise direction or a negative, clockwise direction. The principal angle is the first positive angle less than 360°.
The positive angle formed when an angle is in a standard position is called principal angle.
An angle is formed at the point where two or more lines meet. And it is said to be in a standard position if its edge is located at to the origin with its initial arm in line with the horizontal axis. The initial arm of an angle is the side with which the angle is measured from, while the terminal arm is the side on which the measure of an angle terminates. Thus, angles are normally measured from there initial arm to the terminal arm.
Therefore, the first positive angle formed between the initial and terminal arm of an angle in a standard position is usually called the principal angle.
A sketch for more clarifications is herewith attached to this answer.
Reference: https://brainly.com/question/21074748
4. Up until the last game, Sellina has made 75% of her free-throws. If she continues
to make her free-throws at this rate, what is the probability that she will make the
next two free-throws in the next game?
Answer:
0.5625 = 56.25% probability that she will make the next two free-throws in the next game.
Step-by-step explanation:
For each free throw, there are only two possible outcomes. Either Sellina makes it, or she misses. The probability of making a free throw is independent of any other free throw. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
75% of her free-throws.
This means that [tex]p = 0.75[/tex]
What is the probability that she will make the next two free-throws in the next game?
This is P(X = 2) when n = 2. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{2,2}.(0.75)^{2}.(0.25)^{0} = 0.5625[/tex]
0.5625 = 56.25% probability that she will make the next two free-throws in the next game.
A card is drawn at random from an ordinary pack of playing cards. What is the probability that it is neither a face card nor a black card? 16/52 = 4/13 10/52 = 5/26 14/52 = 7/26 20/52 = 5/13
20 / 52 = 5 / 13
Step-by-step explanation:
Probability(P) is the likelihood of occurrence of an event. It is given by;
P = total number of favourable outcomes ÷ total number of possible outcomes
In a pack of playing cards, there are 52 cards altogether.
Therefore, the total number of possible outcomes = 52
To get the probability that a card drawn at random is neither a face nor a black card, the following should be noted.
i. There are 12 face cards in the pack. These are the kings (4 cards), queens(4 cards) and the jacks (4 cards).
Therefore, number of cards that are not face cards = 52 - 12 = 40
ii. Black cards are half of the total number of cards = 26.
These black cards contain half of the kings, queens and jacks cards = 6 which are already included in the face cards. Therefore, the remaining black cards will be 26 - 6 = 20
Neither a face card nor a black card = 40 - 20 = 20 [number of favourable outcomes]
The probability of getting neither a face card nor a black card is
=> total number of favourable outcomes ÷ total number of possible outcomes
=> 20 / 52 = 5 / 13
Your teacher asks all 30 students in your class their favorite color and tallies the results. Which graph would best
demonstrate the favorite colors of the students in the class?
A)
bar graph
B)
pie chart
circle graph
D)
stem-and-leaf plot
E)
box and whiskers plot
Ans it depends but i think it is a and b
what sum of money amounts to Rs 60000 in 2 years at the rate of 10% per annum find it
Answer:
Rs.27000
Step-by-step explanation:
60000 ÷ 2 = 30000 per year
30000 × [tex]\frac{10}{100}[/tex] = Rs. 3000
30000 - 3000 = Rs. 27000
Evaluate the expression (8.1 +7.9)x-(25/5)x
Answer:
The answer final is : 11x I'm very sure
Step-by-step explanation:
If you want me to expand on the equation leave me a comment
Which expression below has the same value?
Answer:A
Step-by-step explanation:
Answer:
15/8
Step-by-step explanation:
You will want all numbers to have the same common denominator, then you can add them together.
1 = 8/8
1/2 = 4/8
1/4 = 2/8
1/8 = 1/8
[tex]1+\frac{1}{2} +\frac{1}{4} +\frac{1}{8} \\\frac{8}{8} +\frac{4}{8} +\frac{2}{8} +\frac{1}{8}[/tex]
Ellie buys some craft supplies. The supplies cost a total of $6.43. She pays with a $20
bill. How much change does she receive?
The change she receive = 20-6.43= 13.57$
Answer:
$13.57
Step-by-step explanation:
$20 - $6.43
=13.57