Answers
Answer:
x = 1.25
y = 1.75
Step-by-step explanation:
Since, the line that is 8 units long is parallel to the line that is ten units long.
Therefore, both the triangles are similar by AA postulate.
Corresponding sides of of the similar triangles are in proportion.
Therefore,
[tex] \frac{5}{x + 5} = \frac{7}{y + 7} = \frac{8}{10} \\ \\ \implies \frac{5}{x + 5} = \frac{8}{10} \\ \\ 5 \times 10 = 8(x + 5) \\ \\ 50 = 8x + 40 \\ \\ 50 - 40 = 8x \\ \\ 10 = 8x \\ \\ \frac{10}{8} = x \\ \\ x = 1.25 \\ \\ \\ \frac{7}{y + 7} = \frac{8}{10} \\ \\ 7 \times 10 = 8(y + 7) \\ \\ 70 = 8y + 56 \\ \\ 70 - 56 = 8y \\ \\ 14 = 8y \\ \\ \frac{14}{8} = y \\ \\ y = 1.75[/tex]
Related Questions
In their first year, The English Patient earned $342,600,000 while Star Wars earned $670,900,000. National Treasure earned $334,100,000 its first year. How much more did Star Wars earn than The English Patient?
A. $1,430,699,010
B. $1,420,699,010
C. $1,330,699,010
D. $328,300,000
Answers
$143,699,010
use the calculator
Genna purchased a pair of shoes on a web site.The original price of the shoes was $120. She used the coupon code to receive a 20% discount. The web applied a 15% service fee to the discounted price. Genna's shoes were less than the original price by what percent
Answers
Answer:
$116
Step-by-step explanation:
the total discount is 20-15 = 5%
the dicount = (5*120)/100 = $4
So she bought it with price = 120 - 4 = $116
Answer: 8%
Step-by-step explanation:
1. Apply the discount to the original price
20% of 120 (0.2*120) is 24, thus Genna saves 24 dollars
120-24 = 96 (the new price of the shoes, with the coupon applied)
2. Apply the service fee to the discounted price
15% of 96 (0.15*96) = 14.4
This number is the amount of money being added to the discounted price, as it is an additional fee
96 + 14.4 = 110.4
3. Find the percent discount Genna's shoes are using the new price.
1 - (New price/Old price) = Percent discount
110.4/120 = 0.92
1 - 0.92 = 0.08
The shoes are 92% of the original price. Thus, the shoes are 8% less than the original price.
Given that
R
=
2
x
+
2
y
Find
y
when
x
=
9
and
R
=
29
Give your answer as an improper fraction in its simplest form.
Answers
Answer: y=11/2
Step-by-step explanation:
r = 2x + 2y
29=2(9) + 2y
29=18 + 2y
11 = 2y
11/2 = y
PLEASE I WILL GIVE BRAINlEST ANSWER
"I’m thinking of a number. When I divide my number by four and add seven I get thirteen."
What’s my number? Show your work and explain how you know your answer is correct.
Answers
Answer:
The number is 24
Step-by-step explanation:
This can be written algebraically as: [tex]\frac{x}{4}+7=13[/tex]
Solve for x, in which the steps are shown below.
Thanks for the question! :)
What is the area of the triangle below?
Answers
Answer:
9
Step-by-step explanation:
base = 6
height = 3
1/2 b * h = 9
The regular price of a hooded jacket is $25.75. During a sale, the jacket was marked as 20% off. What was the approximate price of the jacket during the sale?
A.
$5.15
B.
$20.60
C.
$21.62
D.
$23.75
Answers
Answer:
5.15 hope this help!!!
Step-by-step explanation:
give this brainlieast so other people can know its not 20.60
How many fifths in 3/4?
Answers
Answer:
19
Step-by-step explanation:
Factor using grouping: x³+ 3x² + 5x = 15
Answers
1. Move all terms to one side of the equation, usually the left, using addition or subtraction.
2. Factor the equation completely.
3. Set each factor equal to zero, and solve.
4. List each solution from Step 3 as a solution to the original equation.
Can someone help me please?
Answers
three guards were protecting an orchard. A third met the guards,one after the other,To each guard he gave half of the apples he has at the time and two extra . Eventually he escaped with just one apple. How many apples did the thief take? Fellow up questions for extension. What if he had 2 left? 3 left? 4 left?
Answers
Answer:
The thief stole 36 apples originally.
Step-by-step explanation:
The thief left the orchard with 1 apple.
which means:
∴ before meeting the 3rd watchman, he must have had =6 apples.
∴ before meeting the 2nd watchman, he must have had =16 apples.
∴ before meeting the 1st watchman, he must have had =36 apples.
(1+2)×2
(6+2)×2
(16+2)×2
So, the thief stole 36 apples originally.
Answer:
The thief took 36 apples.
Step-by-step explanation:
This problem can be solved from end to beginning.
The thief ends up with a single apple. This happed after he gave half of the apples he had and two extra apples.
Thus, adding two apples 1+2=3 and doubling the result, the thief had 3*2=6 apples when he met the last guard.
Before that, he gave 2 apples to the second guard, thus he had 6+2=8 apples. Doubling it 8*2=16 is the number of apples he had when met the second guard.
Doing this again, 16+2=18. 18*2=36.
The thief took 36 apples.
Gave 18+2=20 to the first guard. He had 36-20=16 now.
Gave 8+2=10 to the second guard. He had 16-10=6 now.
Gave 3+2=5 to the third guard and got away with just one apple
5(a +3)= 40 *
What is the answer
Answers
Answer:
sorry i had too
Step-by-step explanation:
someone passed this to me) 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you
Answer: a = 5
Step-by-step explanation:
5(a + 3) = 40
5a + 15 = 40
5a -15 = -15
5a = 25
5a/5a = 25/5a
a = 5
Hope this helps :)
What is the slope-intercept equation of the line below?
Answers
Answer:
B y= -5/4x+3
Step-by-step explanation:
Please help me with this math question.
Answers
34 cents for brand a
32 cents for brand b
hope this helps im not too sure if im correct
The area under the density curve that lies to the right of 11 is 0.322. What percentage of all possible observations of the variable are at most 11?
Answers
Answer: 67.8%
Step-by-step explanation:
The variables that are at most 11 will lie on the left of 11.
The percentage of the possible observations to the left will be:
= 1 - percentage to the right
= 1 - 0.322
= 0.678
= 67.8%
It Snowed 1/2 inch on Saturday and 1 3/5 inches on Sunday. How much did it snow altogether, total?
Answers
Answer:
Fraction form: it snowed 2 1/10 inches in total, decimal form: in other words it snowed 2.1 inches.
Step-by-step explanation:
Annie's ant population doubles every week.
After 3 weeks of doubling, how many ants will she have if her colony
started with 50?
Answers
Answer:
400.
Step-by-step explanation:
50 doubles to 100 for the 1st week. 100 becomes 200 the 2nd and 400 for the 3rd week.
Answer:
400
Step-by-step explanation:
just did the work
Answer if u know PLS
Answers
Answer: Fourth Option: |-23.6|
Reason: 15 is fifteen units away from zero. -13 is thirteen units away from zero. 20.5 is twenty point five units away from zero. And |-23.6| is twenty three point six units away from zero. Hence the last option being the furthest from zero.
I hope this helps, and Happy Holidays! :)
Question 3
And question 4 pleaseeee help!!
Answers
Answer:
see pdf
Step-by-step explanation:
How many 2-inch cubes are needed to completely fill a cubic box that measure 8 inches.
Answers
Answer:
It will be 64 cubes.
Step-by-step explanation:
if one side is 8 inches then 8/2 is 4
to fill one face, 4 × 4 = 16
to fill a cube 16 × 4 = 64
Answer: 64 cubes will fit
Compré 18 cuadernos, 24 carpetas y 17 lapiceras. El precio de las carpetas excede al de los cuadernos en un 40%, mientras que el precio de las lapiceras es el 20% del precio de los cuadernos. Si el importe de la compra fue de $11.825, calcular el precio unitario de cada artículo
Answers
Answer:talk some English dude
Step-by-step explanation:
What is the equation of the line that is parallel to y=-2/3x+4 and that passes through (–2,–2)?
Answers
y=-2/3x-4/3
y=-2/3x-10/3
y=-2/3x-2/3
y=-2/3x-17/4
Answers
Answer:
when tow line are parallel (a) is same
If nine inches represent twelve feet, how many inches
represent 48 feet?
Answers
Answer:
36 inches
Step-by-step explanation:
4 * 12 = 48
So multiply 9 by 4 also and you get 36.
3.78÷15=? Show the work please.
Answers
Answer:
how would you show work?
the answer is 0.252
Step-by-step explanation:
Answer:
0.252
__________________________________________________________
We have to evaluate the expression:
3.78/15
Evaluation:
We can multiply both the numerator and the denominator with the same number and that won't change the actual number since the number would cancel out
So, multiplying numerator and the denominator by 100
[tex]\frac{3.78 * 100}{15 * 100}[/tex]
[tex]\frac{378}{15 * 100}[/tex]
Since 15*25 is 375, we will rewrite the numerator as:
[tex]\frac{375 + 3}{15 * 100}[/tex]
Now, we can split it into 2 separate fractions:
[tex]\frac{375}{15 * 100}+\frac{3}{15 * 100}[/tex]
This new equation is the same as the one before as it can easily be changed to that
Since 15*25 is 375 and 3*5 is 15:
[tex]\frac{25}{100}+\frac{1}{5 * 100}[/tex]
Since 25*4 is 100:
[tex]\frac{1}{4}+\frac{1}{500}[/tex]
0.25 + 0.002
0.252
Hence, 3.78/15 is 0.252
A baker orders 162 eggs. Each carton contains 18 eggs. Determine which equation can you use to find the number c of cartons.
Answers
Determine the parent function
Y=x3. Y=^x. Y=1/x
Answers
Answer:
First one is B
Second one is A
next time dont shoot your computer
Step-by-step explanation:
The parent function of the graph is y = √x
How to determine the parent function?The given graph is a graph of a square root function, that is translated upward by 3 units and right by 1 unit
This means that the equation of the graph is:
y = 3 + √(x - 1)
Remove the translated points
y = √x
Hence, the parent function of the graph is y = √x
Read more about function transformation at:
https://brainly.com/question/4025726
#SPJ2
A net of a storage trunk is shown. Which is the trunk's surface area?
Answers
(36*20)*4= 2880
(20*20)*2= 800
Find the amount of state tax withheld if your Gross pay is $43,300, and the tax rate 5%
A. $2156
B. $2165
C. $1965
D. $1959
Answers
Answer:
a
Step-by-step explanation:
Stephanie thinks of a positive number.
She squares the number and adds 7
The result is 43
What number did Stephanie think of?
Answers
Answer:
Step-by-step explanation:
If the number is 6 then square of 6 is 36 then adding 7 = 36 + 8 = 43
So the number is 6
Answer:
6
Step-by-step explanation:
Do the question backwards
43 - 7 = 36
[tex]\sqrt{36}[/tex] = 6
Stephanies number was 6
Christina has 50 coins consisting of quarters and dimes. The coins combined value is $9.50. Write a system of equation to determine how many quarters and dimes Christina has.
Answers
Answer:
Christina has 30 quarters and 20 dimes.
Step-by-step explanation:
Given that a quarter is worth 0.25 dollars and a dime is worth 0.10 dollars, if Christina has 50 coins and these add up to a total of $ 9.50, to determine the number of quarters and dimes that she has in her possession, the following calculation must be carried out, taking into account that the difference between a quarter and a dime is 0.15 dollars:
50 x 0.25 = 12.5
12.5 - 9.5 = 3
Thus, the difference between the value that Christina has and the value that she would have if all of her coins were quarters is 3 dollars. Thus, since 0.15 x 20 equals 3, of the 50 coins Christina has, 30 are quarters and 20 are dimes.
This is confirmed through the following equation:
30 x 0.25 + 20 x 0.1 = X
7.5 + 2 = X
9.5 = X
Please help fast, thanks.
Answers
Answer:
b
Step-by-step explanation: