Divide total pay by hourly rate:
522 / 22.50 = 23.2 hours
Answer: 23.2 hours
in the given figure triangle abc is similar to triangle ADB write down the corresponding sides with their relation
[tex]\\ \sf\longmapsto ∆AED=∆ABO[/tex]
[tex]\\ \sf\longmapsto \dfrac{AE}{AB}=\dfrac{AD}{AO}[/tex]
[tex]\\ \sf\longmapsto \dfrac{AD}{AE}=\dfrac{AB}{AO}[/tex]
Explanation:
Given that
In ∆ ABC, DE is a line drawn on AB and AC
In ∆ ADE and ∆ ABC
∠ AED = ∠ ABC = 70°
∠ AED = ∠ BAC (Common vertex angle )
By AA similarity criteria
∆ ADE and ∆ ABC are similar triangles
⇛ ∆ ADE ~ ∆ ABC
We Know that
If two polygons of same number of sides are said to be similar,
If the corresponding angles are equal.
If the corresponding sides are in the same ratio or in proportion.
So, The corresponding angles are mist be in proportion
⇛ AD / DB = AE/EC
Key Knowledge:-
If two polygons of same number of sides are said to be similar, If the corresponding angles are equal.If the corresponding sides are in the same ratio or in proportion.Note :-
If DE || BC then by Basic Proportionality Theorem, AD / DB = AE/ECIf a line drawn parallel to one side of a triangle intersecting other two sides at two different points and the line divides the other sides in the same ratio.Who can help me with these two.?
Ask your old Brother or Sister they could help you out with this if not then wait till someone helps you on here!
what is the present value of $6,000 to be received at the end of 6 years if the discount is 12%
Answer:
$3,039.79
Step-by-step explanation:
Here is a better picture
Answer:all
Step-by-step explanation:so because u have done all
pls help me with this math
The cost of making a cake is $9. The Baker wants to make a profit of $ 9 per cake and the cake is to be cut into 36 pieces, what is the selling price of each piece?
Answer:
$0.50Step-by-step explanation:
Given
Cost price = $9Selling price of the cake is:
$9 + $9 = $18Selling price of each piece:
$18/36 = $0.50trong dân số một bà 70 tuổi có khả băng SLE là 2% .Nếu ANA dương tính thì khả năng bị bệnh SLE là bao nhiêu
Answer:
từ khoảng 70 đến 90 phần trăm
one step equations. due in 30 minutes pls help quick!!
Mr. Rao's gas tank holds up to 17 gallons of gas. It took 12.65 gallons of gas to fill his tank. How many gallons of gas did Mr. Rao have in his tank before he filled it? Enter your answer as a decimal or as a mixed number in simplest form in the box.
only answer if you know it
Answer: Im 99.9% sure that its 4.48
Step-by-step explanation: 17 1/8 is 17.13 as a Decimal and that subtrcated by 12.65 is 4.48 :)
The increasing on the intervals
The decreasing on the intervals
EASY WILL GIVE BRAINLIEST
Three postal workers can sort a stack of mail in 25 minutes, 45 minutes, and 225 minutes, respectively. Find how long it takes them to sort the mail if all three work together.
Answer:
I think the answer is 98?
Step-by-step explanation:
I added 225+45+25 and got 295. Next, I divided 295 by 3 and got 98. (sorry if I'm wrong.)
Three postal workers can sort a stack of mail in 25 minutes, 45 minutes, and 225 minutes, respectively. Time taken if all the three work together is 15min
What is Time?
Time can be described in mathematics as an ongoing and continuous series of events that take place one after another, from the past through the present and into the future. The duration of events or the gaps between them can be measured, compared, or even ordered using time.
The first worker can sort the stack in 25 minutes. So every minute that goes by,
he does 1/25 of the job.
The second employee completes 1/45 of the stack per minute,
While the third employee completes 1/225 of the task.
Minutes are represented by x, and I've set them all to 1 to indicate that a single stack was sorted.
x·1/25 + x·1/45 + x·1/225 = 1
To eliminate all fractions from the calculation, multiply each term by 225.
225x/25 + 225x/45 + 225x/225 = 225
9x + 5x + 1x = 225
15x = 225
x = 225 / 15
x = 15
Hence, It will take 15min to sort the mail if all three work together
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Olivia typed 36-word paragraph in 2/3 minute. what is her typing speed, in words per minute?
Answer:
Olivia typed speed per minutes is 54 words
Step-by-step explanation:
Given:
Olivia typed 36 word in 2/3
Solution:
By Unitary method, calculate the speed of typing by Olivia as-
2/3 Minutes → 36 Words
1 Minutes → 36 ÷(2/3) Words
1 Minutes → 36x3÷2 Words
1 Minutes → 54 Words
Therefore Olivia typed speed is 54 word.
A) HL
B) Not enough information
C) AAS
D) SAS
Evaluate -8x+5-2x-4+5x
Answer:
The value of the expression is - 9.
Evaluating the expression before simplifying is preferred because you only have to substitute once instead of substituting three times.
Step-by-step explanation:
x = 2
- 8x + 5 - 2x - 4 + 5x
= - 8x - 2x + 5x + 5 - 4
= - 10x + 5x + 1
= - 5x + 1
= - 5 ( 2 ) + 1
= - 10 + 1
= - 9
Thirty percent of all telephones of a certain type are submitted for service while under warranty. Of these, 70% can be repaired, whereas the other 30% must be replaced with new units. If a company purchases ten of these telephones, what is the probability that exactly four will end up being replaced under warranty
Answer:
40%
Step-by-step explanation:
In a recipe, for every tablespoon of sugar there are four teaspoons of salt. If a batch uses twelve tablespoons of sugar, how many teaspoons of salt does it use?
Can someone please help me with this question
Answer:
40 degrees
Step-by-step explanation:
i'm use......
Please help me with the question
Answer:
Rate of Change: 2
Step-by-step explanation:
Rate of change is the same as slope:
( y1 - y2 ) / ( x1 - x2 )
( 2 - 4 ) / ( 0 - 1 )
( -2 ) / ( -1 )
2
Hopefully this helps!
Brainliest please?
Is there a relationship between the distance and the sum? Is there a relationship between the distance and the difference? A 5-column table with 3 rows. Column 1 is labeled a with entries 1, 4, negative 6. Column 2 is labeled b with entries 2, negative 1, negative 3. Column 3 is labeled a + b with entries 3, 3, negative 9. Column 4 is labeled a minus b with entries negative 1, 5, negative 3. Column 5 is labeled Distance with entries 1 unit, 5 units, 3 units. Which describes the relationship between the distance and the difference? The distance is always the opposite of the difference. The distance is exactly the difference. The distance is the absolute value of the difference. The distance is not related to difference.
Answer:
The distance is the absolute value of the difference. aka c
Step-by-step explanation:
Given: 5n - 42 = 12n; Prove: n= -6
What are the Statements
What are the Reasons
Answer:
-72=-72
Step-by-step explanation:
5n-42=12n
n=-6
5*(-6)-42 = 12*(-6)
-30-42=-72
-72=-72
So, n= -6 is the right number for this equation
Can you guys help me out
Answer:
what grade are you in that requieres this type of math
Step-by-step explanation:
what is a Scalene triangle?
Answer:
A triangle that has no equal sides is a scalene triangle.
Whatia the slops of the lime through (-2,16) and (2,2)
Help! Pls...........
Answer:
I don't know sorry sorryy
Alani has a summer job as a lifeguard. She makes $8/h for up to 40 h each week. If she works more than 40 h, she makes 1.5 times her hourly pay, or $12/h, for each hour over 40 h. 1. How much will Alani earn if she works: a. 37 hours?
Please i need this now
Answer:
356
Step-by-step explanation:
She will earn a total of $296.
We have - Alani who has a summer job as a lifeguard. She makes $8/h for up to 40 h each week. If she works more than 40 h, she makes 1.5 times her hourly pay, or $12/h for each hour over 40 h. How much will Alani earn if she works: a. 37 hours.
We have to determine - How much will Alani earn if she works for 37 hours.
If you earn $x per hour and you work for 30 hours, them calculate the amount of money you will earn.The amount of money you will earn will be = $30[tex]x[/tex].
According to question, we have -
Pay per hour = $8
Number of hours she work in a week = 40 hours
For working 37 hours, which is less than 40, she will receive an hourly wage of $8 only. Therefore -
$8 x 37 = $296
Hence, she will earn a total of $296.
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4. 4^6x4^3
4^9 4^18 12^9 64^9
Supposed the length of a rectangle is three times the width and the area is 300 ft.² then what is the width of the rectangle in feet
Step-by-step explanation:
the area is
A = length × width.
length = 3 × width
=>
A = 3 × width × width = 3 × width²
300 = 3 × width²
100 = width²
width = 10 ft
Find values of x and y.
(x +12)/yº
114
9514 1404 393
Answer:
x = 54
y = 114
Step-by-step explanation:
The angle marked y° corresponds to the one marked 114°. Corresponding angles in this geometry are congruent, so ...
y = 114
__
The angle marked (x+12)° and the one marked y° form a linear pair, so are supplementary:
(x +12)° +114° = 180°
x +126 = 180 . . . . . . . . divide by °, collect terms
x = 54 . . . . . . . . . . . . subtract 126
Justine has 4 1/2 pounds of red apples, 3 1/4 pounds of green apples, and 2 1/4 pounds of yellow apples. How many kilograms of apples does she have?
Richard wants to purchase a new Havaianas. The cost of the havaianas he wants to buy is Php299. Richard has saved Php42 for his new purchase. His parents are willing you give him three times what he has saved. On the weekends. Richard cut lawns for Php20 an hour. How many more hours will Richard have to work until he has enough money to purchase his Havaianas?
Using the required arithmetic operations, the number of mowing hours required to meet up with the cost of the Havannian ls 7 hours.
Cost of Havannian = Php 299Amount saved = Php 42The amount he'll be given by his parents = 3(42) = Php 126
Total amount = 42 + 126 = Php 168
Amount left to meet up cost of Havannian = (299 - 168) = Php 131
Lawn cutting rate per hour = Php 20
Number of cutting hours needed = (Php 131 ÷ Php 20) = 6.55 hours
Therefore, in other to meet up with the cost of the Havannian, hell have to mow for atleast 7 hours.
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The hours Richard would have to work more in order to purchase his Havaians is 7 hours.
The first step to take in order to determine the answer is to determine the total amount Richard has.
Amount saved = Php 42
Amount his parents would give him = php 42 x 3 = php 126
Total amount Richard has = 126 + 42 = Php 168
The total amount Richard has to get in order to purchase the item:
Php 299 - Php 168 = Php 131
The total hours Richard has to work in order to have enough money = Php 131 / 20 = 6.55 hours
This is approximately 7 hours.
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4
-3+x=17
5
11= -9 - x
6
14- X = 4
7
x - 30 = -44
8
16 = 27+ x
9
-75 = x - 50
10
15+ x = -15
11
-9 + x = -34
12
-27=-5-x
13
6+ x = 20
14
-8=x+7
15
13=3- X
ton nations
4. -17/3
5. -20
6. 10
7. -14
8. -11
9. -25
10. -30
11. -25
12. 22
13. 14
14. -15
15. -10