Final answer:
To calculate the total cost of repairs to Mr. Estes's car, add the fixed cost of parts ($48) to the labor cost ($40 per hour for 1.5 hours), resulting in a total cost of $108.
Explanation:
To find the total cost, we need to consider both the fixed cost (cost of parts) and the variable cost (mechanic's labor charged per hour).
The fixed cost for parts is $48, and the mechanic charges $40 per hour.
If the mechanic works for 1.5 hours, we can calculate the total cost using the equation:
Total Cost = Cost of Parts + (Hourly Rate × Hours Worked).
Substituting the given values into the equation, we get:
Total Cost = $48 + ($40 × 1.5)
= $48 + $60
= $108
Therefore, the total cost of repairs to Mr. Estes's car is $108.
in the red line and the blue line trains just arrived at the station when will the next arrive at the station at the same time. the red line arrives every eight minutes the Blue Line arrives every 10 minutes
Answer:
40 minutes
Step-by-step explanation:
In the red line and the blue line trains just arrived at the station.
The red line arrives every eight minutes.
The Blue Line arrives every 10 minutes.
Next they will arrive at the station at the same time, LCM of 8 minutes and 10 minutes.
Because both train will come at same multiple of 8 and 10.
Factor of 8 : 2 × 2 × 2
Factor of 10 : 2 × 5
LCM : 2 × 2 × 2 × 5 = 40
Hence, After 40 minutes both train will arrive at station at same time.
do NOT answer if you don't know.
Which of the following best describes the life cycle of a star similar to the Sun?
A.
nebula − red dwarf − yellow star − supernova
B.
nebula − yellow star − red giant − white dwarf
C.
white dwarf − blue giant − supernova − black hole
D.
white dwarf − red giant − nebula − white star
E.
yellow star − red dwarf − black hole − supernova
Can you please help me?
Mei bought a box of markers for b dollars, a shoulder bag that cost twice as much as the box of markers and a pen that cost $6 less than the shoulder bag. Write the cost of the pen in terms of b.
The cost of the pen in terms of b is (2b - 6) dollars.
Explanation:To write the cost of the pen in terms of b, we need to determine the cost of the pen relative to the cost of the markers.
Let's assign a variable to the cost of the shoulder bag. Since the shoulder bag costs twice as much as the box of markers, we can write the cost of the shoulder bag as 2b dollars.
Now, the pen costs $6 less than the shoulder bag, so the cost of the pen can be written as (2b - 6) dollars. Therefore, the cost of the pen in terms of b is (2b - 6) dollars.
four workers are hired to weed a field by hand. each is given a plot which is 10 x 7 ft in size. what is the total area of the field?
The total area of the field is 280 sq. ft.
What is unitary method?"A process of finding the value of a single unit, and based on that value we can find the required value."
What is the area of the rectangle?"[tex]A=l\times w[/tex], where l is the length and w is the width."
For given question,
We have been given the dimension of a plot which is 10 x 7 ft
From the dimension we can say that, a plot must be rectangular in shape.
Here, length (l) = 10 ft
and width = 7 ft
Using the formula for the area of the rectangle,
[tex]\Rightarrow A=l\times w\\\Rightarrow A=10\times 7\\\Rightarrow A=70~ft^2[/tex]
This means, the area of each plot is 70 sq. ft.
Four workers are hired to weed a field by hand.
Using unitary method the total area of the field would be,
[tex]70\times 4= 280~sq.ft.[/tex]
Therefore, the total area of the field is 280 sq. ft.
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A rectangular painting with a length of 54 centimeters has an area of 2,052 square centimeters.
What is the width of the painting?
Is 20/6 rational or irrational
The given number is a rational number.
Given:
The given number is [tex]\dfrac{20}{6}[/tex].
To find:
Whether the given number is rational or irrational.
Explanation:
Rational number: It can be defined in the form of [tex]\dfrac{p}{q}[/tex], where [tex]p,q[/tex] are integers and [tex]q\neq 0[/tex].
Irrational number: It cannot be defined in the form of [tex]\dfrac{p}{q}[/tex], where [tex]p,q[/tex] are integers and [tex]q\neq 0[/tex].
The given number is in the form of [tex]\dfrac{p}{q}[/tex], where [tex]p=20,q=6[/tex] both non zero integers.
Therefore, the given number is a rational number.
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1. The pizza bot travels an average of 4 miles per hour. If he gets sent on a delivery to a house 1.5 miles away. How long will it take for the bot to make the delivery and return to the restraint.
Write in scientific notation
A. 401,570,000 miles
B. 403,440,000 miles
C. 782,690,000 miles
D. 1,669,490,000 miles
E. 1,202,100,000 miles
Please help
The pizza bot travels an average of 4 miles per hour. If he gets sent on a delivery to a house 1.5 miles away. The scientific notation is A. 401,570,000 miles.
How is the time taken for travel, distance traveled, and the average speed related?We have this below shown relation between them
[tex]\text{Average speed} = \dfrac{\text{Distance traveled}}{\text{Total time taken to travel that distance}}\\\\or\\\\\text{Total time taken to travel that distance}= \dfrac{\text{Distance traveled}}{\text{Average speed} }[/tex]
The pizza bot travels an average of 4 miles per hour. If he gets sent on a delivery to a house 1.5 miles away.
The pizza bot is doing delivery which means it will go to the destination and return back.
So, the total distance traveled should be 2x of distance to the delivery target. Then the time needed for the bot to back to the restaurant would be:
Time needed = distance traveled / average velocity
= 2 x 1.5mi / 4mph
= 0.75 hour
= 45 minutes
For A, we have to write it in <number>.<numbers>*10^<number>.
Since 4 is the first number, we write it as 4.01570000 x 10^<number>. Since there are 8 numbers after 4, we have 4.01570000 x 10^8.
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Three apples weigh a pound . About how much would one Apple cost
Answer: 5.3oz/0.33 lbs
Step-by-step explanation:
Since a lb is 16 oz divide by 3 (number of apples) and get 5.3 oz each then convert into lbs which is 0.33lbs
what is the function for a table with a domain of 5, 10, 15, 20 and a range of 40, 80, 120, and 160
x + 2 = 6.3
What is the number to replace the variable x
which equation to 4.8+2.2x-1.4x+2.4
They want me to start with one triangle and add 2 tooth picks each time but how do I do that
The Holiday Rush gets really intense. You work from 7am to 11pm on the Friday and Saturday just before Xmas, selling clothes and then stocking shelves, and then from 9am to 9pm on Sunday. Your pay rate is $20 per hour. How much do you get in gross wages for that one weekend
The total hours worked over the weekend are 44 hours, resulting in gross wages of $880.
To calculate the gross wages for the weekend, we need to multiply the hours worked each day by the hourly pay rate of $20. On Friday and Saturday, the working hours are from 7am to 11pm, which is 16 hours each day. On Sunday, the working hours are from 9am to 9pm, which is 12 hours.
To find the total hours worked over the weekend, we add the hours for each day:
Friday: 16 hoursSaturday: 16 hoursSunday: 12 hoursNow we calculate the total hours: 16 + 16 + 12 = 44 hours.
Next, we calculate the total earnings by multiplying the total hours by the hourly rate:
= 44 hours x $20 per hour = $880.
Therefore, the gross wages for the weekend work are $880.
a 20 ft piece of string is cut into two pieces so that the longer piece is 5 feet longer than twice the shorter piece. If the shorter piece is x feet long, find the lengths of both pieces
Answer:
The shorter piece is 5 ft long.
The longer piece is 15 ft long.
Step-by-step explanation:
Let's write this into an equation:
(5+2x)+x=20
5+3x=20
Subtract 5 from both sides
3x=15
x=5
The shorter piece is 5 ft long.
The longer piece is 5 feet longer than 2 times 5 ft (the shorter piece).
5+2*5
5+10
15
The longer piece is 15 feet long.
Hope this helped!
It takes 70 inches of ribbon to make a bow and wrap the ribbon around a box. The bow takes 32 inches of ribbon. The width of the box is 14 inches. What is the height of the box
The height of the box will be 5 inches considering the ribbon is wrapping over the perimeter along the height.
What is the perimeter?Perimeter is the addition of an external measure of sides it will always positive.
A perimeter is a length and has a degree of the unit as one.
For example
Perimeter of square = side + side + side + side
The perimeter of the circle = πd where d is the dia of the circle.
The total length of the ribbon = is 70 inches.
The bow takes 32 inches of ribbon.
So left = 70 - 32 = 38 inches.
Now,
38 inches = Perimeter along the height
2 ( L + 14 ) = 38
L + 14 = 19
L = 5 inches.
Hence "The height of the box will be 5 inches considering the ribbon is wrapping over the perimeter along the height".
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Find a combination of 3 numbers that equal 34 and write the equation
Final answer:
To form an equation with a sum of 34 using three numbers, one possible combination is 10, 12, and 12, resulting in the equation 10 + 12 + 12 = 34.
Explanation:
To find a combination of 3 numbers that equal 34, we can use simple addition. For example, let's choose three numbers such as 10, 12, and 12. Adding these together, we get the equation 10 + 12 + 12 = 34. This is just one of many possible combinations that satisfy the condition.
If we wanted a methodical approach to find different combinations, we could start with the first number and systematically increase it while decreasing one of the other numbers. It's important to test different combinations and remember that you can also use the same number more than once as we did with the number 12.
Remember, an equation must have an equal sign, while an expression is just a group of numbers and operations. In this case, we are looking for an equation since we want to show that the sum of the three numbers we pick is equal to 34.
What are the steps of 0.234÷0.78
Find the value of 3.4 squared
The value of the exponent numerical expression (3.4)² will be 11.56.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ (3.4)²
Simplify the expression, then we have
⇒ (3.4)²
⇒ 3.4 x 3.4
⇒ 11.56
The value of the exponent numerical expression (3.4)² will be 11.56.
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There are 2 leaves along 3 in. of an ivy vine. There are 14 leaves along 15 in. of the same vine. Which equation models the number of leaves y along x in. of vine?
The equation that describes the relationship between the number of leaves and the length of the vine in inches is y = x + 1. This is derived by calculating the slope of the line that fits the data points and the y-intercept.
Explanation:The subject of this question is mathematics, specifically with a focus on linear relationships. To find an equation modeling the number of leaves y along x inches of vine, we can use the data given. Two points can be derived from this data: (2,3) and (14,15).
A line can be described by the equation y = mx + b, where m is the slope and b is the y-intercept. The slope of the line can be calculated as rise over run, or the change of y divided by the change of x. This gives us (14-2)/(15-3) = 12/12 = 1, so m = 1.
The y-intercept is the 'y' when 'x' equates to zero. By rearranging the equation to b = y - mx, and by substituting any given point and the slope, we can find b. For instance, using the point (2,3), b = 3 - (1*2) = 1. Therefore, the equation that models the number of leaves y along x inches of vine is y = x + 1.
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67 percent of 8.7 estimate
(a)round 44.2862 to 3dp
(b)round 4.0854 to 2dp
(c)round 0.0196 to 3dp
(d)round 0.7048 to 2dp
Your town decides to build a volleyball court. If the court is approximately 40 by 70 feet and its surface is of sand, 1 foot deep, the court will require about 166 tons of sand. A local sand pit sells sand for $11 per ton with a delivery charge of 3 dollars per ton. Write and solve an equation to find the total cost of the sand for this court.
A function assigns the value of each element of one set to the other specific element of another set. The total cost of the sand for this court is $2,324.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The function for the total cost can be written as in the form as shown below,
Total cost = Cost of sand + Cost of delivery
The total cost for x tons of sand can be written as,
Total cost(x) = $11(x) + $3(x)
Since the volleyball court needs 166 tons of sand, therefore, the total cost for 166 tons of sand can be written as,
Total cost(x) = $11(x) + $3(x)
Total cost(166) = $11(166) + $3(166)
Total cost = $1826 + $498
Total cost = $2,324
Hence, the total cost of the sand for this court is $2,324.
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The fifth-grade classes at Brookfield School used five identical buses to go on a field trip. •There were a total of 40 seats on each bus. •All of the seats on four buses were filled. •The fifth bus had 4/5 of the seats filled. •1/8 of all the passengers on the buses were adults. How many adults went on the field trip.
XY has endpoints at -13 and 23. What is the coordinate of its midpoint
The coordinates of the mid-point is 5 if the XY has endpoints at -13 and 23 after using the segment bisector formula.
What is a segment bisector?A segment bisector is a line, ray, line segment, or point that divides a line segment into two equal halves at its center.
It is given that:
XY has endpoints at -13 and 23.
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
The coordinate of the mid-point = (-13 + 23)/2
The coordinate of the mid-point = (10)/2
The coordinate of the mid-point = 5
Thus, the coordinate of the mid-point is 5 if the XY has endpoints at -13 and 23 after using the segment bisector formula.
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The graph of y=x^2 is reflected in the x-axis and translated 3 units right and 2 units up. Write an equation for the function in vertex form and in standard form.
The equations for the transformed function in vertex form and in standard form are as follows: Vertex form: [tex]\( y = -(x - 3)^2 + 2 \)[/tex], Standard form: [tex]\( y = -x^2 + 6x - 7 \)[/tex]
To arrive at these equations, let's go through the transformation steps:
1. The original function is [tex]\( y = x^2 \)[/tex].
2. Reflecting the graph in the x-axis changes the sign of the function, resulting in [tex]\( y = -x^2 \)[/tex].
3. Translating the graph 3 units right means replacing [tex]\( x \)[/tex] with [tex]\( x - 3 \)[/tex], giving us [tex]\( y = -(x - 3)^2 \)[/tex].
4. Finally, translating the graph 2 units up means adding 2 to the function, yielding the vertex form [tex]\( y = -(x - 3)^2 + 2 \)[/tex].
To convert this vertex form into standard form, we expand the vertex form and simplify:
[tex]\( y = -(x - 3)^2 + 2 \)\\ \( y = -(x^2 - 6x + 9) + 2 \)\\ \( y = -x^2 + 6x - 9 + 2 \)\\ \( y = -x^2 + 6x - 7 \)[/tex]
This is the standard form of the transformed quadratic function.
The mass of the sun is 2.13525×10^30 kilograms. The mass of Mercury is 3.285×10^23 kilograms.
How many times greater is the mass of the sun than the mass of Mercury?
Please help. I am stuck on this algebra question:
A homeowner wants to increase the size of his deck that now measures 15 feet by 18 feet. His homeowner's association declares that no deck is to be more than 928 square feet. if the length and the width of the deck are to be increased by the same amount, find, TO THE NEAREST TENTH, the maximum number of feet by which the length of the deck may be legally increased.
a) 14 feet
b)21 feet
c)28 feet
d)32 feet
How can you cut a pizza in 7 slices (don't have to be equal or same shape) with 4 straight lines?
The 7 pieces of pizza have been cut by drawing the straight line through diameter giving 4 parts and drawing the diagonal dividing into 6 parts. The 7th piece has been received by drawing a straight line through one of the pieces.
The pizza has been circular-shaped structure. The straight lines have been able to divide the pizza into 4 equal parts. The lines will be drawn as the horizontal and the vertical diameter to the circular pizza.
The required amount of the number of pizza pieces has been 7. The 2 straight lines divide it into 4 parts.
To attain the required 3 more parts, the pizza has been cut in a diagonal direction as well with 1 straight line giving a total of 6 pieces. The 1 piece has been attained by drawing a straight line through one of the pieces giving the total count of the 7 pizza slices of different shapes and sizes.
The image attached shows the division of the pizza slices into 7 pieces.
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The blacktop at school os 75 yards long and 40 yards wide. What is the length and width of the blacktop area in feet?