Answer:
1347 hours
Step-by-step explanation:
Assuming the income is net income (total after taxes etc.):
Cost of car = $17,500Net income = $13 per hourTo calculate the number of hours to be worked to save enough to buy the car, divide the cost of the car by hourly net income:
[tex]\begin{aligned}\implies \textsf{Number of hours to work} & = \dfrac{\textsf{Cost of car}}{\textsf{hourly net income}}\\\\& = \sf \dfrac{17500}{13}\\\\& = \sf 1346.1538...\end{aligned}[/tex]
We have to round the number up to 1347 hours, as only $17,498 will be saved if 1346 hours are worked.
The average working week is approximately 40 hours, therefore to calculate how many weeks it would take to earn enough money to purchase the car, divide the number of hours by 40:
⇒ 1347 ÷ 40 = 33.675
So it would take 34 weeks, working an average of 40 hours a week and not spending any of the money earned, to save enough to purchase the car.
Total hours
Cost/Earnings17500/131346.15Round to the next whole instead of nearest whole to avoid depicit
1347 hours you have to work atleastIn most of the countries the average working hours per week is
45 hoursTotal weeks
1347/4529.930weeks you have to work if you don't spend any money of itYou attend a baseball game with friends and visit the snack stand between innings. Soda costs $2 a can, and a box of popcorn costs $1.50. You have $15 with you, and you wish to buy more cans of soda than boxes of popcorn. If x represents the number of cans of soda and y the number of boxes of popcorn, which graph represents the inequalities in this scenario? A. graph A B. graph B C. You attend a baseball game with friends and visit the snack stand between innings. Soda costs $2 a can, and a box of popcorn costs $1.50. You have $15 with you, and you wish to buy more cans of soda than boxes of popcorn. If x represents the number of cans of soda and y the number of boxes of popcorn, which graph represents the inequalities in this scenario? A. graph A B. graph B C. graph C D. graph D C D. graph D
Answer:
I feel that is would be D
Step-by-step explanation:
This is the most reasonable awnser.
En una encuesta a 150 personas, se les pregunta sobre los deportes que ven por televisión
los fines de semana, ofreciendo como opciones fútbol, tenis y basquetbol. Los resultados
fueron los siguientes: 52 ven tenis; 54 ven básquetbol; 24 solo ven fútbol y tenis; 19 solo
ven fútbol y básquetbol; 23 ven tenis y básquetbol; 14 ven fútbol, tenis y básquetbol; 24
no ven deportes.
Teniendo en cuenta que el total de encuestados fue 150 personas, se puede calcular que el porcentaje de personas que solo ven tenis es 34.3%.
¿Cómo calcular el porcentaje de personas que solo ven tenis?
Para calcular el porcentaje de encuestados que solo ven tenis es necesario realizar la siguiente operación:
100 ÷ 150 = 0.660.66 × 52 = 34.3%De acuerdo con lo anterior, se puede inferir que el porcentaje de encuestados que solo ve tenis es el 34.3%.
Nota: Esta pregunta está incompleta porque le falta información. Aquí está la información faltante.
Qué porcentaje de personas solo ve tenis por televisión?Aprenda más sobre porcentajes en: https://brainly.com/question/10114228
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please answer will give brainly
Answer:
Step-by-step explanation:
The volume of a cube is given by the formula :
a³ (where a is the side length )
So now we have to cube these lengths :
Part A :
(3x²y)³ =
(3x²y)(3x²y)(3x²y) =
(9x^4y²)(3x²y) =
27x^6y³ (This is now fully simplified so our final answer for a)
Part B:
(5y²)³ =
(5y²)(5y²)(5y²) =
(25y^4)(5y²) =
125y^6 (This is now fully simplified so our final answer for b)
Hope this helped and have a good day
Question 11 (1 point)
(03.06 MC)
Braden bought a piece of commercial real estate for $101,234. The value of the real estate appreciated at a constant rate per year. The table
shows the value of the real estate after the first and second years:
Year
1
12
Value (in dollars) $104,271.02 $107,399.15
Which function best represents the value of the real estate after t years?
O a
f(t) = 101,234(1.03)
Ob
f(t) = 101,234(0.03)
f(t) = 104,271.02(1.03)
f(t) = 104,271.02(0.03)
OC
Od
Question 12 (1 point)
Answer:
f(t) = 101,234
Step-by-step explanation:
(8 kg 300 g 120 mg) − (3 kg 500 g 480 mg) 4 kg 799 g 640 mg
The value of (8 kg 300 g 120 mg) − (3 kg 500 g 480 mg) is; 4 kg 799 g 640 mg
How to carry out Unit Conversions?We want to find the value of;
(8 kg 300 g 120 mg) − (3 kg 500 g 480 mg)
First of all, let us convert all units to kg as;
120 mg = 0.00012 kg
300 g = 0.3 kg
Thus;
8 kg 300 g 120 mg = 8 + 0.3 + 0.00012 = 8.30012 kg
Similarly, converting the second expression;
480 mg = 0.00048 kg
500 g = 0.5 kg
Thus;
3 kg 500 g 480 mg = 3 + 0.5 + 0.00048 = 3.50048 kg
Thus, we have;
8.30012 kg - 3.50048 kg = 4.77964 kg
Breaking down this gives;
4 kg 799 g 640 mg
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help I will gave u brilliant answer please help
Answer:
a) 15/8 b) 25/18
Step-by-step explanation:
a) First bring all the fractions to a common denominator (I'm going to use 8th's). 5/8 is already simplified, 1/2=4/8, and 3/4=6/8. Then, simply add the numerators and leave the denominator: [tex]\frac{5+4+6}{8} =\frac{15}{8}[/tex]
Since this can not be simplified any further, your final answer is 15/8.
b) Start by bringing all the fractions to a common denominator (for this problem, we'll use 18th's). 2/3=12/18, 1/6=3/18, and 5/9=10/18. Then just add all the numerators and leave the denominator the same: [tex]\frac{12+3+10}{18} = \frac{25}{18}[/tex]
Since this cannot be simplified further either, your final answer is 25/18.
Hope this helps! :)
Answer:
so to add we need to find lcm
Step-by-step explanation:
a) 5/8 + 1/2+3/4 lcm of 2,4 and 8 = 8
5/8 = 5/8
1x4
2x4 = = 4/8
3x2
4x2 = 6/8
5/8 + 4/8 + 6/8 = 15/8
b) 2/3 + 1/6 + 5/9 lcm of 3 , 6 and 9 = 18
2x6
3x6 = 12/18
1x3
6x3 = 3/18
5x2
9x2 = 10/18
12/18 + 3/18 + 10/18 = 25/18
If kinaata goes for swimming lessons every 5 days while Wayo goes every 6 days. if both kinaata and Wayo had swimming lessons together at the pool today, after how many days will both meet again at the pool for lessons?
Step-by-step explanation:
we need the least or smallest common multiple for both numbers, 5 and 6.
this is very simple for the small numbers here, but in general we look at the prime factors of both numbers :
6 has the prime factors 2 and 3.
5 has only 5.
so, the LCM is 2×3×5 = 30.
they will meet again after 30 days.
FYI -
the LCM is for larger numbers a and b not automatically a×b. if both numbers share prime factors, the LCM can be smaller than a×b, as the LCM is using every overlapping prime factor only once.
write each equation in slope intercept form x+7y=48
Answer:
y=-1/7+48/7
Step-by-step explanation:
You want to isolate the Y so you subtract the x to the other side.
Next you divide both numbers on the right hand side by 7 and that gives you
y=-1/7+48/7
12 / 3 + 6 x 2? can anyone help?
Answer:
16
Step-by-step explanation:
12 divided by 3 = 4 and 6*2 = 12
12+4=16
The value of this answer is 16
To solve this expression, we will apply the properties of mathematical operations.
- First, we multiply or divide
- Second, we subtract or add
Resolution
12/3 + 6 x 2
4 + 6 x 2
4 + 12
16
So, the correct value is 16
Fabian took a taxi from his house to the airport. The taxi company charged a pick-up fee of $4.80 plus $4 per mile. The total fare was $44.80, not including the tip. How many miles was the taxi ride?
Answer:
10 miles
Step-by-step explanation:
total amount=$44.80
pick up fee=$4.80+$4 per mile
to get the miles of the taxi ride it will be=total amount-pick up fee÷$4
$44.80-$4.80÷$4
$40÷$4
=10 miles
THANK YOU
whate is answer of 36-[100÷5{60-32(8÷4-1)}]
Answer:
[tex]67\frac{23}{28}[/tex]
Step-by-step explanation:
[tex]36-\left[100\div \:560-32\left(8\div \:4-1\right)\right]\\\\100\div \:560-32\left(8\div \:4-1\right)\\\\=100\div \:560-32\cdot \:1\\\\=\frac{100}{560}-32\cdot \:1\\\\=\frac{100}{560}-32\\\\=-\frac{891}{28}\\\\\\=36-\left(-\frac{891}{28}\right)\\\\36-\left(-\frac{891}{28}\right)\\\\=36+\frac{891}{28}\\\\\frac{36\cdot \:28}{28}+\frac{891}{28}\\\\\frac{36\cdot \:28+891}{28}\\\\=\frac{1899}{28}\\\\\\\frac{1899}{28}(1899\div28)=67\frac{23}{28}[/tex]
Yesterday I ran less than 5 kilometers but more than 1200 meters. How far could I have run?
Convert the decimal or whole number to a percent. 0.32 1/2
A rectangle patio has a perimeter of 38 feet. If the length of the patio is 5 feet less than twice the width, find the dimensions of the patio
Answer:
The length is 11ft.
The width is 8ft.
Step-by-step explanation:
Hello!
Perimeter of a rectangle: [tex]P = 2(l + w)[/tex]
P = perimeterl = lengthw = widthWe know that the length is 5 ft less than twice the width, which can be expressed by the equation: l = 2w - 5. We can plug in 38 for "P".
We can substitute the equation for l, and solve for the width.
Solve for W[tex]P = 2(l + w)[/tex][tex]38 = 2((2w - 5) + w)[/tex][tex]38 = 2(3w - 5)[/tex][tex]38 = 6w - 10[/tex][tex]48 = 6w[/tex][tex]8 = w[/tex]The width is 8. We can solve for the length by plugging it back into the equation l = 2w - 5
Solve for Ll = 2w - 5l = 2(8) - 5l = 16 - 5l = 11The length is 11.
The dimensions are 11 ft and 8 ft.
HELP!!! please this is my last question for my paper
Answer:
[tex]\sqrt{2}[/tex]
Step-by-step explanation:
We can use pytho theorem to find X because its a right triangle, so:
a^2 + b^2 = c^2
plug our numbers
1^2 + 1^2 = x^2
simplify
1+1 = x^2
2=x^2
answer = root2
can you please help me with this two questions
Answer:
2) d. 60°
3) a. AB
Step-by-step explanation:
Question 2
ΔABC and ΔCDA are congruent because:
they are both right trianglesthey share one side (AC)their hypotenuse are parallel (marked by the arrows)This means the corresponding side lengths and angles are equal.
Therefore,
∠CDA = ∠ABC
⇒ x = 60°
Question 3
The hypotenuse is the longest side of a right triangle - the side opposite the right angle (the right angle is shown as a small square).
Therefore, the hypotenuse of ΔABC is the line AB.
The volume of a water tank is 396 m^3. If it is 7.2 m long and 5.5 m wide. what is the depth of the tank ?
Answer :
Depth of the tank is of 10mStep-by-step explanation :
We have been provided with the volume of water tank , it's length and breadth. We are asked to calculate the depth of tank (height), so we all know that water tank is always is in the shape of cuboid.
We would be using the formula of calculating the volume of cuboid and substitute the values in it.
V = l × b × hHere,
l is length b is breadth h is heightWe have :
Volume (V) = 396m³length (l) = 7.2mbreadth (b) = 5.5m height (h) = ?Substituting the values :
>> 396 = 7.2 × 5.5 × h
>> 396 = (72 / 10) × (55 / 10) × h
>> 396 = 72 × 55 × h / 100
>> 396 = 3960 × h / 100
>> 396 × 100 = 3960 × h
>> 39600 = 3960h
>> h = 39600 / 3960
>> h = 3960 / 396
>> h = 10
__________________________
PLEASE PLEASE HELP
An archer makes two attempts to hit a target, and the probability that he hits the target on any one attempt is 1/7.
What is the probability that the archer will miss the target on both attempts?
A. 1/49
B. 48/49
C. 6/7
D. 36/49
Answer:
The answer would be D.
Step-by-step explanation:
If there is a 1/7 chance that the archer will hit it, there is a 6/7 chance he/she wont. 6/7 times 6/7 is equal to 36/49, getting you your answer of D. I hope this helps! :)
A. 36
B. 52
C. 148
D. 168
Answer:
B) 52
Bodmas rule:
BracketsOrderDivisionMultiplicationAdditionSubtractionSolving Steps:
⇒ 2 × (3 - 1)⁴ + 5 × 4
⇒ 2 × (2)⁴ + 5 × 4
⇒ 2 × 16 + 5 × 4
⇒ 32 + 20
⇒ 52
Option B
How do you know that △STU is similar to △PQR? Complete the sentence to explain your answer.
PLEASEE I NEED HELP!! PLEASE HURRY
△STU is mapped to △PQR with center of dilation (-1.5, -1.5) and a scale factor of 2 and reflected about the x-axis.
How to interpret Dilation of Triangles?
From the given graph, we can see that;
SU is 1.5 units and the corresponding side of the dilated figure is 3 units. Thus, the scale factor of dilation is; 3/1.5 = 2
Now, we can see clearly that it is reflected about the x-axis as the x-values remain negative in △STU while the y-values are now positive in △PQR.
Lastly, we can see the dilation was with center (-1.5, -1.5)
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Pretest: Unit 2
Question 34 of 45
If WXWZ, which of the following statements CANNOT be true?
Answer:
B.
Step-by-step explanation:
The statement that cannot be true is "length RW is a mid segment of the triangle". option D.
What is mid segment of a triangle?The mid segment of a triangle is a line segment that connects the midpoints of two sides of a triangle. More specifically, if a triangle has sides of lengths a, b, and c, then the mid segment connects the midpoints of the two sides of length a and is parallel to the side of length c. The length of the mid segment is half the length of the third side (c/2).
here, we have,
In other words, if a triangle has sides AB, BC, and AC, then the mid segment connects the midpoint of AB (denoted as M) to the midpoint of BC (denoted as N) and is parallel to AC.
The length of the mid segment MN is equal to half the length of AC
(MN = 1/2 * AC).
we have,
For the given diagram, the midpoint is S, so the length RW cannot be the length of the mid segment.
Hence, The statement that cannot be true is "length RW is a mid segment of the triangle". option D.
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The table shows the change in the price of a stock. At the end of the week, the price is $17.17.
The price of the stock after the change in price on Thursday is $16.76.
The price of the stock at the beginning of the week is $16.81.
What are the price changes?The price at the end of the week is a function of the total changes in price and the price at the beginning of the week.
$17.17 = beginning price + 0.21 + 0.09 - 0.03 - 0.02 + 0.11
$17.17 = beginning price + 0.36
Beginning price = $17.17 - 0.36 = $16.81
Price on Thursday = $16.81 + 0.21 + 0.09 - 0.03 - 0.02 = $16.76
Here are the questions:
What was the price of the stock after the change in price on Thursday?
What was the price of the stock at the beginning of the week?
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Calculate the volume of each diagrams.
The volume of the solid objects are 612π in³ and 1566πcm³
Volume of solid objectThe given objects are composite figures consisting of two shapes.
The volume of the blue figure is expressed as;
Volume = Volume of cylinder + volume of hemisphere
Volume = πr²h + 2/3πr³
Volume = πr²(h + 2/3r)
Volume = π(6)²(13+2/3(6))
Volume = 36π(13 + 4)
Volume = 612π in³
For the other object
Volume = Volume of cylinder + volume of cone
Volume = πr²h + 1/3πr²h
Volume = π(9)²(15) + 1/3π(9)²(13)
Volume= 81π (15+13/3)
Volume= 1566πcm³
Hence the volume of the solid objects are 612π in³ and 1566πcm³
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What is the volume of the following solid figure?
Answer: 450
Step-by-step explanation:
The volume is (1/2)(5)(12)(15)=450.
Ice cream shop is open within the month of june,july and august The shop served 100 fewer customers than they did in july They served twice as many customers in august as they did in june In total they served 400 customers over these three months
The number of customers served in the ice cream shop in June, July and August are 125, 25 and 250 customers respectively
How to write and solve equation?let
June = xJuly = x - 100August = 2xTotal customers = 400Total = June + July + August
400 = x + (x- 100) + 2x
400 = x + x - 100 + 2x
400 = 4x - 100
400 + 100 = 4x
500 = 4x
x = 500/4
x = 125
So,
June = x
= 125 customers
July = x - 100
125 - 100
= 25 customers
August = 2x
= 2(125)
= 250 customers
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Markup is 25% of sale price of 86.67
what is the cost
Answer:
$ 69 . 34
Step-by-step explanation:
(1 +.25) x = 86.67
86.67 / 1.25 = x = 69.34
5) Kerjakan perkalian dibawah ini
82
44
X
Answer:
1. 3608
2.3956
3. 714
Step-by-step explanation:
jap darab ke apa ni
Elaina Kicks A Soccer Ball With An Initial Velocity Of
By using the motion equations, we conclude that she will make the goal.
Will she make the goal?
First, we know that the goal is 20ft away, and the position in x is given by:
[tex]x = 28*cos(58)*t[/tex]
Let's find the time in which the ball will travel these 20 ft.
[tex]20 = 28*cos(58)*t[/tex]
[tex](20)/(28*cos(58)) = t = 1.35[/tex]
So the horizontal distance is covered in 1.35 seconds, now let's see which is the height of the ball at that time.
The height equation is:
[tex]y = -16*t^2 +28*sin(58)*t[/tex]
Evaluating in t = 1.35 we get:
[tex]y = -16*(1.35)^2 +28*sin(58)*1.35\\\\y = 2.9[/tex]
And the goal is 5ft tall, so we can conclude that she will make the goal.
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Which of the following statements must be true about parallelogram ABCD?
Evaluate log 8 base 5
The answer is 1.29029.
Given : [tex]log_{5}8[/tex]To evaluate the given equation.Solution:[tex]log_{5}8=log(8)/log(5)[/tex]
As we know, [tex]log8=0.9030899[/tex] and [tex]log(5)=0.69897000[/tex]
So equating is the above equation, we get;
[tex]log_{5}8=0.9030899/0.6989700[/tex]
[tex]log_{5}8=1.292029[/tex]
Hence, The answer of [tex]log_{5}8[/tex] is [tex]1.29029[/tex].
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