Ty total compensation for the week where he earns a base rate of $12 per hour and receive a weekly attendance award of $20 is $500.
What is rate ?Rate is the ratio between two related quantities in different units.
Therefore, he earn a base rate of $12 per hour and receives a weekly attendance award of $20.
If he works 40 hours a week, his compensation will be as follows:
let
y = total compensation
x = number of hours worked
Hence,
y = 12x + 20
y = 12(40) + 20
y = 480 + 20
y = $500
Therefore, Ty total compensation is $500.
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A grandfather is six times as old as his grandson. If the grandfather was 45 when his grandson was born, how old is the grandson?
Fernando tiene una estatura de 1.80m y se encuentra parado a 6m del pie de la lámpara. Determina la altura de la lámpara si, cuando está encendida Fernando proyecta una sombra de 2m de longitud
A) x=0.45m
B) x=7.2m
C) x=5.4m
D) x=2.4m
Considerando la estatura de Fernando, la longitud de su sombra y la distancia con respecto a la lámpara, la altura de la lámpara encendida es de 7.20 metros. (Opción correcta: A)
Cómo aplicar el concepto geométrico de proporcionalidad
En la geometría Euclídea el concepto de proporcionalidad está asociado con el concepto de semejanza entre triángulos. Esta relación subyace en el hecho que si tenemos garantizado que existen un número suficiente y conocido de valores y características comunes entre los dos triángulos, entonces podemos determinar los valores faltantes.
En esta pregunta tenemos dos triángulos rectángulos que son semejantes, por ende, proporcionales. Por la definición de proporcionalidad derivamos la siguiente expresión para la altura de la lámpara:
h/H = x/X (1)
Donde:
h - Estatura de Fernando, en metros. H - Altura de la lámpara, en metros.x - Longitud de base del triángulo menor, en metros.X - Longitud de base del triángulo mayor, en metros.A continuación, reemplazamos las variables conocidas y determinamos la altura de la lámpara:
1.80/H = 2/8
H = 4 · (1.80 m)
H = 7.20 m
Considerando la estatura de Fernando, la longitud de su sombra y la distancia con respecto a la lámpara, la altura de la lámpara encendida es de 7.20 metros. (Opción correcta: A)
Para aprender más sobre triángulos semejantes, invitamos cordialmente a ver esta pregunta verificada: https://brainly.com/question/21667752
Find the distance between the points (0, 0) and (4, 0).
02
04
O √8
Answer:
4 units
Step-by-step explanation:
(0, 0 ) and (4, 0 )
since the y- coordinates are equal then the distance between the points is the difference of the x- coordinates, that is
| 4 - 0 | = | 4 | = 4 or
| 0 - 4 | = | - 4 | = | 4 | = 4
I need help, please!
Answer:
100
Step-by-step explanation:
[tex]10^1=10\\\\10^2 = 100\\\\10^3 = 1000\\\\10^4 = 10000\\\\10^5 = 100000\\\\10^6 = 1000000[/tex]
Read the following description of a relationship:
The sea turtle at a zoo is 2 years older than the stingray.
Let s represent the stingray's age and t represent the turtle's age.
Complete the equation that represents the relationship between s and t.
t =
Answer:
t=2s
Step-by-step explanation:
This is saying that the turtles age is two times the stingrays age because no matter how old the stingray is, the turtle is 2 times older.
Answer: t=s+2
Step-by-step explanation:
The sea turtle is 2 years older than the stingray.
Sea turtle's age = 2 years + stingray's age.
t = s+2
During a home renovation project, Mrs.
Landry is planning to enlarge the pantry
closet in her kitchen. Based on the space she
has she can increase the depth of the closet
by a factor of 3 but cannot change the width.
How much larger will the square footage
(area) of the new renovated pantry be
compared to the original?
Answer:
DURING A HOME #KACHA BADAM JAKE KAACHA BADAM HWADNA
Find the arc length of the remaining portion if the bolded section was cut out of the circle. Round to the nearest tenth.
Answer:
69.6 ft
Step-by-step explanation:
The arc length can be found as a fraction of the circumference. That fraction is the ratio of the central angle measure to the measure for the whole circle.
__
Central angle of remaining arc:
360° -150° = 210°
Fraction of full circumference:
210°/360° = 7/12
The circumference of the circle is ...
C = 2πr = 2π(19 ft) = 38π ft.
Then the length of the remaining arc is ...
(7/12)(38π) ft ≈ 69.6 ft
A triangle has an angle that measures 70°. The other two angles are in a ratio of 2:9. What are the measures of those two angles?
PLEASEEEEEEEEEEEEEEEEEEEE HELP MEE YALL WITH ALL 4 QUESITONS
Answer:
Step-by-step explanation:
17. Domain is all real numbers because the equation has a y-value for all x-values as far as we can see with the information given.
18. Range is 3< y <8, because the equation only has values for x where y is between those numbers.
19. Range is 3> y >-∞ (negative infinity) because the parabola's vertex has a y-coordinate of 3 and the parabola goes on forever in the negative direction (as seen by the arrows).
20. Domain is -∞ < x < 4 because the parabola's vertex has an x-coordinate of 4 and goes on forever in the negative x direction.
Hope this helps! :)
−13d+6≤45 Solve the inequality
Answer:
d ≤ -3
Step-by-step explanation:
Given that:
−13d + 6 ≤ 45
Solve:
Subtracting 6 from both sides
−13d + 6 ≤ 45
-6 -6
-----------------------
−13d ≤ 39
Multiply both sides by -1 which reverse the inequality
13d ≤ -39
Now divide both sides by 13
13d/13 ≤ -39/13
d ≤ -3
Thus the Answer is:
d ≤ -3
Kavinsky
Heyo!
DummySokka is here to help!!
Let's do this step-by-step explanation!
Let's solve your inequality step-by-step:
[tex]-13d+6[/tex] ≤ [tex]45[/tex]
Step 1: Subtract 6 from both sides:
[tex]-13d+6-6[/tex] ≤ [tex]45-6[/tex]
[tex]-13d[/tex] ≤ [tex]39[/tex]
Step 2: Divide both sides by -13
[tex]\frac{-13d}{-13}[/tex] ≤ [tex]\frac{39}{-13}[/tex]
[tex]d[/tex] ≥ [tex]-3[/tex]
Answer:
[tex]d[/tex] ≥ [tex]-3[/tex]
Hopefully, this helps you!!
DummySokka~
Write a two-column proof in your journal, upload the image, and submit to your teacher.
Answer:
Step-by-step explanation:
We can prove ∠Q ≅ ∠U, by showing the triangles congruent.
Given that a pair of triangles, ΔSQR and ΔTUR, connected at the point R, in which QR ≅ RU, SR ≅ RT.
We need to prove that ∠Q ≅ ∠U,
So, to prove the same we will use the concept of congruent triangles, the type of triangles in their corresponding parts are congruent, by showing the triangles congruent we can prove ∠Q ≅ ∠U.
1) QR ≅ RU, SR ≅ RT (given)
2) ∠QRS ≅ ∠TRQ (vertical angles are congruent)
3) ΔSQR and ΔTUR (by SAS congruency rule)
4) ∠Q ≅ ∠U (CPCTC)
Hence proved.
Learn more about congruent triangles, click;
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5) A bowl has 20 marbles in it, 4 red, 5 blue, 8, green, and 3 yellow. What is the probability of picking yellow? a. 3/20 b. 4/20 c. 1/3 d. 5/8
Answer:
A. 3/20
Step-by-step explanation:
since there are 3 marbles, and 20 total marbles, you have a 3/20 chance of picking yellow
Find the value of x. Please help.
Answer:
x = 55
Step-by-step explanation:
the inscribed angle x is half the measure of its intercepted arc, that is
x = [tex]\frac{1}{2}[/tex] × 110 = 55
The area of the entire figure below is 1 square unit. How can we describe the area of the striped rectangle?
Answer:
0.267 square units (or 8/30 square units)
Step-by-step explanation:
width = 3 rectangles
length = 10 rectangles (left to right)
area = width * length = 30 rectangles
the striped rectangle is made up of 8 regular rectangles
thus, (area we want) / (total area) = 8/30 of the whole ≈ 0.267 of the whole
the whole is 1 square unit, so 0.267 of 1 square unit = 0.267 * 1 square unit = 0.267 square units
the side view of a roof is shown below. What is x the height of the roof to the nearest tenth of a foot?
Answer:
J
Step-by-step explanation:
42/2=21 or one triangles.
Using the Pythagorean Theorem A^2+B^2=C^2
441+?=625
[tex]\sqrt{184}[/tex] or about 13.6
10. Which of the following situations represents a proportional relationship?....
F. A pizza is $7.95 plus $1.00 for each additional topping.
G. A pool fills at a rate of 90 gallons per hour.
H. A health club charges a $40.00 membership fee plus $25.00 per month.
J. A bank account begins with $350.00 and gains $30.00 per month.
Answer:
G A pool fills at a rate of 90 gallons per hour
Step-by-step explanation:
i dont know
which exponential function repreasents growth?
Answer:
There are two types of exponential functions: exponential growth and exponential decay. In the function f (x) = bx when b > 1, the function represents exponential growth.
Step-by-step explanation: Math websites man
(Need Help ASAP (Willing to give 10 points for 1 question)
Answer:
a) -2 and 4
b) function 2
Step-by-step explanation:
a)
rate of change is rise over run: change in y / change in x.
function 1:
- i will use first 2 pairs of data
- change in y: 5 - 3 = 2
- change in x: -2 - (-1) = -1
-rate of change = 2/-1 = -2
function 2:
- same idea, but find two points on the graph!
- (0,4) and (-1,0) for example! pick easy points
- change in y is 4. chabge in x is 1
- rate of change is 4
b)
function b has greatest rate of change. 4 > -2
The perimeter of an equilateral triangle with side length s is 3s. Leslie is using a wooden equilateral triangle with 15-inch sides as a stand for her newest sculpture.
What is the perimeter of the stand?
The ratio of cups of orange juice concentrate to water in a punch recipe is 1 : 6. If Stefan used 18 cups of water, how many cups of orange juice concentrate did he use?
Answer:
Order your units;
Orange Juice 1 x____________ _______ = ________, solve for x; Water 6 181/6 = x/18
×18 ×18
18/6 = x
3 = x
He will be using 3 cups of orange juice.
brainlist for correct answer =]
Answer:
4
Step-by-step explanation:
The mode is the number that appears the most!!!!
Now lets solve :)
2, 2, 3, 3, 4, 4, 4, 4,
There are 2 2s.
There are 2 3s.
There are 4 4s.
The mode is 4!!! :)
Have an amazing day!!
Plese rate and mark brainliest!!
The mode of the data set is 4
The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all. Other popular measures of central tendency include the mean, or the average of a set, and the median, the middle value in a set.
Mode in math can be defined as the number which appears the most often in a given data set.Therefore, the mode of the data set is 4
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KEYWORDS:value datathe most ofBecca bikes for 1 hour and 5 minutes.
She returns from biking at half past seven.
What time did she start biking?
help i dnt want a D NOMORE
Answer: 6.25
Step-by-step explanation: Subtract 1hr 5mins from 7.30
Find the gradients of lines a and b
Step-by-step explanation:
Gradiant is nothing but the Slope of the lines
A) 2
B) -1
I hope it helped you
Use a ratio box to solve this problem. Jason’s remote-control car traveled 440 feet in 10 seconds. At that rate, how long would it take the car to travel a mile?
Answer: 112sec
Step-by-step explanation: Convert 440Feet to mile
0.833mile in 10seconds
1mile will be 10/0.833= 12.00secs
The following shape is 1 pair of parallel sides.
What is the area of the shape?
REEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
im not writing all that lol
Step-by-step explanation:
So 1 would be 100%, 10/10 and 0 would be, 0/10 and 0% so for 50% for example would be 5/10, 0.5 and so on..
then just think of things that have a 100% chance and all the other percentages... example The sun rising tomorrow. and no chance 0% example the school flying away
Calvin works two different jobs. He worked a total of 40 hours last week. Of the time he worked, 16 hours were spent at the
job where he makes $18 per hour. The rest of the time was spent at the job where he makes $20 per hour.
How much money did Calvin make from both jobs last week?
$288
b$480
$752
$768
Answer: 768
Step-by-step explanation:
24 times 20 =480 dollars
16 x18=288
480+288= 768
so yea D IS THE ANSWER!!!
hope thats helps :)
A bag contains eight balls labeled 1 through 8. One ball will be randomly picked. What is the probability of picking an even number?
Write your answer as a fraction in simplest form?
Solve the system equations! I will give branliest!
Answer:
y = -3, x = 5
Step-by-step explanation:
In the first equation, x = 2 - y, x is on one side. So we can try to isolate the variable x in the second equation by adding 2y + 11 on both sides to get:
x = 2y + 11
So now we have equations x = 2 - y and x = 2y + 11. Therefore 2 - y = 2y + 11. Now we isolate variable y by adding y on both sides and subtracting 11 on both sides to get -9 = 3y. Divide by 3 on both sides to get y = -3.
Let's substitute that into x = 2 - y. Since y = -3, we now have x = 2 - (-3) = 5.
helpppppppppppppp---------------000
Step-by-step explanation:
There are 3 cubes in the solid's length, 2 in its width, and 3 in its height. Therefore, the number of cubes = length * width * height = 3*2*3 = 18
The volume of a small cube , for a length l, is l³. The length is (1/3)m, so the volume is (1/3)³ = 1/27 m³
volume of solid = number of cubes * area of each cube = 1/27 * 18 = 18/27 m³. This is because we have to figure out the volume of 18 cubes together, and we can just add each cube to the volume 18 times for our answer