If the mileage is more than or equal to 60 miles Company A will charge no more than Company B.
The inequality is: 50 + 0.50m ≤ 35 + 0.75m.
What are inequalities?When both sides of a mathematical expression are not equal, an inequality exists. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.Inequality simply means that two things aren't equal. One of the items might be inferior to, superior to, greater than, or equivalent to the other things.Given:
m = number of miles driven.
initial fee of Company A = $50
initial fee of Company B = $35
additional fee of Company A = 50 cents = $0.50
additional fee of Company B = 75 cents = $0.75
then the inequality will be,
⇒ 50 + 0.50m ≤ 35 + 0.75m
⇒ 50 - 35 ≤ 0.75m - 0.50m
⇒ 15 ≤ 0.25m
⇒ m ≥ 15 /0.25
⇒ m ≥ 60
Therefore, if the mileage is more than or equal to 60 Company A will charge no more than Company B.
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can someone answer this plssssssss
Answer:
y=-5x/2+4
Step-by-step explanation:
4y=-10x+16
y=-5x/2+4
Hi! Can someone solve and tell me all the steps so I could understand how to do this?
Answer:
x = 12
AB = 39
AC = 24
Step-by-step explanation:
The sum of AB and BC is equal to the length of AC.
We can write the following equation based on this information :
AB + BC = AB rewrite the equation using given values
4x - 9 + 3x - 12 = 63 add like terms
7x - 21 = 63 add 21 to both sides
7x = 84 divide both sides by 7
x = 12 replace x with 12 in each expression to find the lengths
AB = 4x-9
AB = 4•12 - 9 and
AB = 39
BC = 3x -12
BC = 3•12-12 and
BC = 24
Please explain what the answers are for questions 2, 3, 4, 5, and 6 and how or just help me with the questions you know the answers to, thanks!
Choose the system
for the graph
a)
(3x + 4y ≤ 12
(2x - 5y ≤ 10
(3x + 4y ≤ 12
2x - 5y ≥ 10
b)
:
(3x + 4y ≥ 12
c) (2x - 5y ≥ 10
(3x + 4y ≥ 12
d) (2x - 5y ≤ 10
Therefore, option (c) is the correct system for the graph based on the given options.
Based on the given options, the correct system for the graph would be option (c):
(2x - 5y ≥ 10
(3x + 4y ≥ 12
In option (c), both inequalities have the same orientation (greater than or equal to) and the same signs (+ and -) in front of the variables (x and y) as the original problem statement. This ensures that the inequalities maintain the same relationship.
Option (a) has one inequality with the opposite orientation (≤) compared to the original problem statement, which would result in an incorrect solution.
Option (b) has both inequalities with the opposite orientation (≥), which is also not consistent with the original problem statement.
Option (d) has one inequality with the opposite orientation (≤), which does not match the original problem statement.
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A small treasure chest is in the shape of a rectangular prism.
The length of the chest is y feet, the width ½ y feet, and the height
2y feet. The chest holds 8 cubic feet of treasure. What are the
dimensions of the treasure chest?
Answer:
length = 2ft
width = 1 ft
height = 4 ft
Step-by-step explanation:
V = LWH
V = (1/2)y × y × 2y
V = y³ = 8 ft³
y = 2
length = 2ft
width = (1/2)(2 ft) = 1 ft
height = 2(2 ft) = 4 ft
Select the correct answer. ethel is arranging rides so that 27 members of her club can go bowling. some people can ride in a van that belongs to the center where they meet. the rest must ride in cars. if 12 can go in the van, and 5 can go in each car, how many cars will they need? a. 3 cars b. 5 cars c. 7 cars d. 9 cars
There are 3 cars to be needed for the remaining 15 persons in Ethel club.
Unitary method:
Unitary method used to find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Given,
27 people will travel for bowling.
As there is only one van.
and in that one van only 12 people can go.
so remaining people will go by car
no. of people that they will go by car
=> 27 - 12 = 15
in one car 5 people can go
no. of cars needed to take people=no. of people/no. of cars
=> 15 / 5 = 3
Therefore 3 cars will be needed.
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Lois James' W-2 form is shown below.
રરરરર
1 Employed and code
PA
667438991
Acme, Inc
123 Man Street
Philadelphia, PA 19146
Lou James
632 Dodge Street
Philadelphia, PA 19145
Wage and Tax
Empre
471-29-2525
35-5427864
foW-2 Statement
Copy 1-For State, City, or Local Tax Department
A. $2018.40
D. $472.04
B. $32,554.76
C. $4465.71
32,554 76
999 43
2010
32,554 76
32,554 76
32.554 76
060
16 Laps
32,554 76
12e
the
124
4465 71
2018 40
Macato all
472 04
Department of the y
1400 18
How much did Lois have withheld from her yearly pay for Social Security?
20 Locatty cam
PHIL
ne Service
Answer:2018.40
Step-by-step explanation: i tried 472 and it was wrong and stated 2018 was correct.
Please give an explanation along with your answer.
Answer: 1.19
Step-by-step explanation:
[tex]\displaystyle\\\frac{3\frac{1}{2}-1\frac{4}{5} }{1\frac{3}{7} }=\\\\\frac{\frac{3*2+1}{2} -\frac{1*5+4}{5} }{\frac{1*7+3}{7} } =\\\\\frac{\frac{6+1}{2}-\frac{5+4}{5} }{\frac{7+3}{7} } =\\\\\frac{\frac{7}{2}-\frac{9}{5} }{\frac{10}{7} } =\\\\\frac{\frac{7*5-9*2}{2*5} }{\frac{10}{7} } =\\\\\frac{\frac{35-18}{10} }{\frac{10}{7} } =\\\\\frac{\frac{17}{10} }{\frac{10}{7} } =\\\\\frac{17*7}{10*10} =\\\\\frac{119}{100} =\\\\1.19[/tex]
Sally babysits for 3 hours on weekdays and charges $10 per hour. If she babysits for 65 days total, how much will she make?
If she babysits for 65 days total, she would make $1,950 in all
What is the earnings of Sally per day of babysitting?
The earnings that Sally realize from one day of babysitting is the pay per hour multiplied by the number of hours Sally works per day as shown below:
earnings per day=hourly rate*number of hours a day
hourly rate=$10
number of hours a day=3
earnings per day=$10*3
earnings per day=$30
Now, the earnings at she realizes from 65 days of babysitting can be determined as the earnings made in one day multiplied by the number of days she spent babysitting
earnings for 65 days=$30*65
earnings for 65 days=$1,950
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In 9 hours, Donna reads 45 chapters of a book. What is her rate in chapters per hour?
Answer:
Donna reads an average of 5 chapters each hour.
Step-by-step explanation:
45/9=5
estimate the square root to the nearest tenth the square root of 11, and the square root of 62
The square root of 11 and 62 to the nearest tenth is 7.9 and 3.3 .
Given, the numbers are 11 and 62.
we are asked to determine the square root of the given numbers to the nearest tenth.
a. 11
Since the given number is not an even number, hence we can't get a whole number as the square root of 11.
we need to find the number whose square root is nearest to the number 11.
3 × 3= 9
9 is nearer to 11 whereas 4 × 4 = 16 gets greater than 11.
then dividing the number 11 by 3.we get:
√11 = 3.31662479 × 3.316622479
√11 = 3.31662479
√11 = 3.4 (rounding off to the nearest tenth)
b. 62
since we can't get the square root as a whole number so ,
we need to find the number whose square root is nearest to the number 62.
8 × 8 = 64
which gets greater than 62, hence we take 7 × 7 = 49
therefore, √62 = 7.874007874 × 7.874007874
√62 = 7.874007874
√62 = 7.9 (rounding off to the nearest tenth)
hence we get the square root of 11 and 62 as 3.3 and 7.9 respectively.
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find the weighted average of the numbers 1 and 6, with weight four-fifths on the first number and one-fifth on the second number.
The weighted average of the numbers 1 and 6 is 2
What is weighted average of two numbers?
The weighted average of 1 and 6 in this instance, means the sum of the two numbers multiplied by their weights which are four-fifths and one-fourth respectively.
weighted average=(first number*weight of first number)+(second number*weight of second number)
first number=1
weight of first number= four-fifths=4/5
second number=6
weight of second number=one-fifth=1/5
weighted average=(1*4/5)+(6*1/5)
weighted average=2
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Maddie and Cara each made a bowl of punch. Cara used 6 times as much lemonade as Maddie did. If Maddie used 2/3 of a cup of lemonade, how many cups of lemonade did Cara use?
Write your answer as a fraction or as a whole or mixed number.
Cara used 4 cups.
Maddie(M) used 2/3 of a cup.
Cara(C) used 6 times the amount M used.
M x 6 = C
2/3 x 6 = C
2/3 x 6 = 12/3 = C
12/3 = 4 = C
4 = C
WILL MARK BRAINLIST WILL GIVE 5 STAR REVIEW
Answer: software, hardware, input device, operating system
Step-by-step explanation:
Answer:
windows-software
mouse-input device
microsoft word-operating system
motherboard-hardware
Step-by-step explanation:
show that 268 can be written as the sum of a power of 3 and a squared number
We have shown that 268 can be written as the sum of a power of 3 and a squared number.
We are given a number:
268
We need to show that it can be written as the sum of a power of 3 and a squared number.
We can write 268 as:
268 = 243 + 25
Now, factors of:
243 = 3 × 3 × 3 × 3 × 3
25 = 5 × 5
So, this can be rewritten as:
268 = 3 ⁵ + 5²
which is he sum of a power of 3 and a squared number
Therefore, we have shown that 268 can be written as the sum of a power of 3 and a squared number.
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Can someone help plss
1/18
In decimal equivalent rationam number
The decimal equivalent rational number of the given fraction 1/18 is 0.06
What are rational numbers?In arithmetic, a rational number is a number that can be represented as the quotient p/q of two integers such that q = 0. Aside from fractions, the set of rational numbers includes all integers, each of which can be written as a quotient with the integer as the numerator and 1 as the denominator.A rational number's decimal equivalent is the rational number in decimal form. We can find the decimal equivalent of a rational number in fraction form by dividing by the fraction.So, 1/18:
1/18 = 0.05555555555....
Rounding off to the nearest tenth we get: 0.06
(Refer to the diagram below for calculation)
Therefore, the decimal equivalent rational number of 0.06
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Cual es el radio de 35 cm
Answer: 17.5
Step-by-step explanation:
Si un circulo tiene un diametro de 35 centimetros entonces para encontrar el radio se divide en 2. 35 /2 = 17.5
There is a daily fee for renting a movin truck, plus a charge of $0.50 per mile driven. If driven 48 miles, it costs $64 to rent a truck. Write and solve an equation to find the daily fee
Answer:
Step-by-step explanation:
$0.50 x 48 + $64 = $88. Because of order of operations or PEMDAS, multiplication goes first, then comes addition. Hope you found this helpful!
HELP ME WITH QUESTION B PLEASE!!!
Cavitation reduces a tree's ability to conduct water due to the formation of air bubbles in water, thereby reducing the hydraulic conductance of the tree.
How does cavitation affects a tree's ability to conduct water?Cavitation, also known as embolism, is said to occur when the tracheid or vessels of the xylem is being filled with bubbles of air. Cavitation is what is said to occur when air bubbles form in water during transpiration.
The effect of cavitation is the prevention of the upward pull of water, leading to a degradation of hydraulic conductance, such that the xylem water potential is reduced.
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Solve for u.
u +4=7
U =
in the above question we have to do addition and subtraction method. Therefore, u is equal to 3.
What is addition?Addition in math is a process of combining the two or more numbers. Addends are the numbers added, and the result or final answer we get after the process is called the sum. It is one of essential mathematical functions we use in our everyday activities. There are many situations in which we use to add the numbers. One of the most common everyday uses for adding the numbers is when we work with time or money—for example, adding up the bills and receipts.
An addition sentence is a mathematical expression that shows the two or more values added together and their sum. The two or more values that are added are called the addends. The parts of an addition sentence are the two or more addends, plus symbol(s), equal sign, and the sum.
From above question, it is given that:
u+4=7
so, u= 7-4= 3
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When converting measurements in the metric system, you can move the decimal point to the left or to the right why? Select all that apply.
A When converting from smaller to larger units zero dividing by the power of 10
B Moving a decimal point is The same thing as adding or subtracting
C The metric system is based on powers of 10
DWhen converting some larger to smaller unit, you are applying by the power of 10
Answer:
C The metric system is based on powers of 10
Step-by-step explanation:
Which model shows 4 × 5? 25 or 20 or 9 or 16 witch one? pls help marking brainly pritty pleaseeeeee
Answer:
20.
Step-by-step explanation:
Well, Multiplication is simple. 4*5 is 20, because you're basically writing and solving 5+5+5+5. 5 added to itself 4 times.
Hope this helps!
Side Note
If you have trouble with Division, the way to do it with this equation is:
You know our answer is 20 now, so what is 20/5? (20 divided by 5) This would be 4. This is the Inverse Property of Multiplication.
3x-22°=90°
please help me ASAP
Answer:
about 37.33
Step-by-step explanation:
90+22=112/3 is x
x=37.33
two cities are 65 miles apart
a. if their distance on the map is 3 1/4 inches, find the scale of the map
b. on another map, the same cities are 6.5 inches apart. What is the new scale?
c. If the scale was 2 inches: 11 miles, how far apart would the same cities be on the map? Round to the nearest inch.
The scale is 1 inch represent 20 miles.
The new scale is 1 inch represents 10 miles
The distance on the map would be 11.8 inches.
What is the scale of the map?A scale drawing is a reduced form in terms of dimensions of an original image / building / object. A map is a scale drawing of a city.
The scale of a drawing is usually written in this format - length in the drawing, a colon (:), then the matching length on the original image.
Scale of the drawing = original dimensions / dimensions of the scale drawing
Initial scale = 65 ÷ 3 1/4
65 X 4/13 = 20
1 inch ; 20 miles
New scale = 65 / 6.5 = 1 10
1 inch : 10 miles
Length of the map = (2 x 65) / 11 = 11,8 inches
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Please help, select all the perfect squares
Answer:
9 , 16x^2 , 4z and 100y^2 are perfect Squares!
_____________________________________
What are Perfect Squares?
A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer.
3 * 3 = 9
4 * 4 = 16
2 * 2 = 4
50 * 50 = 100
Therefore making those numbers perfect squares.
[NOTE: The numbers that are squared are still perfect squared, just a larger version!]
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Have a WONDERFUL day! (:
Answer:
Step-by-step explanation:
Perfect squares are: 100y^2, 16x^2, and 9
sqrt of 100y^2 is 10y
sqrt of 16x^2 is 4x
sqrt of 9 is 3
A ball is dropped from rest and takes 1.3 s to hit the ground. from what height was it dropped?
Initial velocity=0
Height=45m
G=10m/s^2
By the 2 nd equation of motion …(Under free fall)-
H = ut + 1/2 g t^2
45 = 0 + {1/2 * 10 * (t^2)} •: [0*t=0]
45 = 5 t^2
45/5 = t^2
9 = t^2
√9=t
3=t
Answer-: The time taken would be 1.3 seconds to reach the ground.
the lengths of plate glass parts are measured to the nearest tenth of a millimeter. the lengths are uniformly distributed with values at every tenth of a millimeter starting at 590.1, and continuing through 590.9. determine the mean and variance of the lengths. (a) mean round your answer to two decimal places (e.g. 98.76). (b) variance round your answer to three decimal places (e.g. 98.765)
The mean is 590.45 and the variance is 0.053.
What is arithmetic mean and variance?
A mean refers to a representative of a list of numbers, usually the sum of the numbers divided by how many numbers are in the list.The expectation of a random variable's squared divergence from its population mean or sample mean is known as its variance.Now,
Adding together all the numbers and dividing by the total number of data points yields the mean:=> Sum of all the values = 590.1+590.2+590.3+590.4+590.5+590.6+590.7+590.8 = 4723.6
=> Since 8 data values are present,
=> Mean = 4723.6/8 = 590.45
We deduct each data value from the mean in order to calculate the variance. Next, we square this discrepancy to determine the average square:=> 590.1 - 590.45 = -0.35;
=> (-0.35)² = 0.1225
=> 590.2 - 590.45 = -0.25;
=> (-0.25)² = 0.0625
=> 590.3-590.45 = -0.15;
=> (-0.15)² = 0.0225
=> 590.4-590.45 = -0.05;
=> (-0.05)² = 0.0025
=> 590.5-590.45 = 0.05;
=> (0.05)² = 0.0025
=> 590.6-590.45 = 0.15;
=> (0.15)² = 0.0225
=> 590.7-590.45 = 0.25;
=> (0.25)² = 0.0625
=> 590.8-590.45 = 0.35;
=> (0.35)² = 0.1225
Thus, variance = [tex]\frac{(0.1225+0.0625+0.0225+0.0025+0.0025+0.0225+0.0625+0.1225)}{8}[/tex] = 0.42/8 = 0.0525 ≈ 0.053
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Coach Murphy has the football team run stairs for practice. Each set of stairs has 75 steps. They have to do 6 sets and have already run 300 stairs.
Answer:
The run 750 steps
Step-by-step explanation
6x+300
x is 75
450+300
750
given h (x)=2x+4 find h(-1)
The required simplified value of the given expression h(-1) = 2.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
As given that,
h (x)=2x+4
Put x = -1
h(-1) = 2(-1) +4
h(-1) = 2
Thus, the required simplified value of the given expression h(-1) = 2.
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