Answer:6978
Step-by-step explanation:304585
Nathan ha a $75 budget to rent a car for a day. The daily rental charge i $29. 50 and then he will alo have to pay 0. 55 per mile. How many mile can he drive the car without exceeding hi budget? (All partial mile are counted a full mile. )
Nathan can drive 83 miles without exceeding the budget.
Let us assume the number of miles Nathan can go in $75 budget be x. Now forming the equation based on the mentioned information -
The total budget = daily rental charge + number of miles × cost per mile
Keep the values in formula -
75 = 29.50 + 0.55x
Rewriting the equation according to variable x
0.55x = 75 - 29.50
Performing subtraction on Right Hand Side of the equation
0.55x = 45.5
x = 45.5 ÷ 0.55
Performing division on Right Hand Side of the equation
x = 82.7
As 0.7 will be counted a mile, thus, Nathan can drive 83 miles.
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madge is six years older than bruce. in five years the sum of their ages will be thirty-six. how old is bruce
Answer:
Bruce is 10 years old.
Step-by-step explanation:
m - Madge age.
b - Bruce age.
Madge is six years older than Bruce.
m=b+6 or m-6=b
In five years the sum of their ages will be 36.
m+5 - Madge age after 5 years.
b+5 - Bruce age after 5 years.
m+5+b+5=36
m=b+6
b+6+5+b+5=36
2b+16=36
2b=36-16
2b=20 /:2
b=10
m=b+6=10+6=16
.
Which symbol correctly compares these two fractions?
3/10 ? 1/3
A. =
B. >
C.
Answer:
Step-by-step explanation:
3/10 < 1/3
Solve the equation by graphing on a separate sheet of paper. Check your solution.
2x−3=3
Answer:
See attachment...
Hope this helps! :)
NEED HELP FAST
question is in the picture attached
Answer:
x=12.99
h=7.5
Step-by-step explanation:
we us cosine rule first to look for OBthe triangle OCB is an isosceles triangle whereby angleOCB=120,angleCOB=angleCBO=30
thus length of BC is 15
[tex]cosine \: rule \\ a {}^{2} = b {}^{2} + c {}^{2} - 2bc \cos(a) [/tex]
=(15^2+15^2)-(2×15×15×cos 120)
=450-(-225)
a^2 =675
a=25.98=OB
finding xx=15sin 60
=12.99
finding hh=15sin 30
=7.5
a random sample of 784 10-ounce cans of fruit nectar is drawn from among all cans produced in a run. prior experience has shown that the distribution of the contents has a mean of 10 ounces and a standard deviation of .10 ounce. what is the probability that the mean contents of the 784 sample cans is less than 9.995 ounces? a) 0.131 b) 0.081 c) 0.101 d) 0.111 e) 0.121 f) none of the above
The probability that the mean contents of the 784 sample cans are less than 9.995 ounces is 0.081. The correct option is B
Probability is the ability to happen. The subject of this area of mathematics is the occurrence of random events. From 0 to 1 is used to express the value. Probability has been introduced in mathematics to determine how likely events are to occur.
Given mean = 10
standard deviation = 0.10
sample = 784
The probability that the 784 sample cans' average contents will be less than 9.995 ounces
P ( X < 9.995 ) = x - μ/ σ / √n
= 9.995-10/0.10/√784
= -0.005 / 0.10 /28
= -1.400
P(Z < -1.400) = 0.081
Therefore the probability that the mean contents of the 784 sample cans are less than 9.995 ounces is 0.081
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Eli loads identical crates onto a truck with a load limit of 2000 pounds. Each crate weighs 125 pounds. A function modeling this situation, where y represents the total weight of the crates in pounds, has a range described by which inequality?.
Using the range idea, the following scenario is represented by the inequality 0 ≤ y ≤ 2000. Here option D is the correct answer.
A function's range is the set that contains all of the output values that the function can take. In the context of this problem, the following input and output are provided:
Input the number of crates that have been loaded into the vehicle. Total weight of the crates loaded into the vehicle as output.
Because the weight of an amount can never be negative, and the greatest weight is 2,000 pounds, as stated in the issue, the range in this context is reflected by the following inequality: 0 ≤ y ≤ 2000.
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If the length of a rectangle is increased by 40% and the width is decreased by 40% then the area:.
The Area of Rectangle would be Decreased by 16% of the original Area. Now the Area of Rectangle is 84%.
Let the Length of rectangle be ‘x’
And width of rectangle be ‘y’
Area of Rectangle = Length X Width
Original Area of rectangle = x X y = xy square units
As the length is increased by 40% then, the new length would be 1+40% i.e 1.4 and,
The width is decreased by 40% then, the new width would be 1-40% i.e 0.6
New Length = 1.4x
New Width = 0.6y
Now , New Area of Rectangle = 1.4x X 0.6y
= 0.84xy square units
The effect is that the New Area of the rectangle is 84% of the original area. There is a decrease of 16% in the area.
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c. What is the slope?
Step-by-step explanation:
the slope is the inclination of a line, or of the tangent (also a line) on a point of a bent curve.
it is expressed as ratio (y coordinate change / x coordinate change) when going from one point on the line or curve to another point on the line.
it tells us how many units y changes when x changes a certain number of units (like 1).
it is positive, if the line goes up (when going from left to right). the larger the value, the steeper the line goes up.
it is negative, if the line is going down (again, going from left to right). the lower the value, the steeper the line goes down.
a horizontal line has a slope of 0/x = 0.
a vertical line has a slope of y/0, which is undefined, or sometimes expressed as infinite.
i need help on this , Thanks
Answer:
∴ x = 90
Step-by-step explanation:
(180 - x)° = x° (vertically opposite angles)
180 - x = x
-2x = -180
2x = 180
∴ x = 90
Dr. Potter provides vaccinations against polio and measles. Each polio vaccination consists of 4 44 doses, and each measles vaccination consists of 2 22 doses. Last year, dr. Potter gave a total of 60 6060 vaccinations that consisted of a total of 184 184184 doses. How many polio vaccinations and how many measles vaccinations did dr. Potter give last year?.
The number of polio vaccinations is 32 and measles vaccination is 28
Let p represent the number of polio vaccines and let m represent the number of measles vaccines.
We know that each polio vaccine consists of 4 doses, and each measles vaccine consists of 2 doses.
Dr. Potter gave a total of 60 vaccinations last year. Therefore, the sum of the number of polio vaccines and measles vaccines must total 60. Therefore:
p+m=60
Together, they consisted of 184 doses.
Since each polio vaccine has 4 doses, the amount of doses for p polio vaccines is 4p.
And since each measles vaccine has 2 doses, the amount of doses for m measles vaccines is 2m.
So:
4p+2m=184
We now have a system of equations:
p+m=60
4p+2m=184
We can solve using elimination. Let’s multiply the first equation by -2. So:
-2p-2m=-120
Now, we can add this to the second equation. Hence:
(-2p+4p)+(-2m+2m)=(-120+184)
2p=64
p=32
Therefore, Dr. Potter gave out 32 polio vaccinations
p+m=60
By the first equation:
p+m=60
Substitute 32 for p to get
32+m=60
m=60-32
m=28
So, 28 measles vaccinations were given out.
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What is the approximate value of the square root of 8?
Answer:
64
Step-by-step explanation:
Hope this helps!
Answer:
2nd answer is the right one
Step-by-step explanation:
the square root of 9 is 3. The square root of 8 is a little smaller because 8 is smaller than 9.
What are 3 signs of symptoms of an allergic reaction?.
Hives, itching, and pale or flushed skin are examples of allergies. reduced blood pressure (hypotension) breathing difficulties and wheezing can result from airway constriction and swelling of the tongue or throat.
What causes allergies?
Your body reacts to an allergen when it is generally harmless, such as pollen, mold, animal dander, latex, certain foods, or insect bites. The symptoms of allergies can range in severity from minor (rash or hives, itching, runny nose, watery/red eyes) to life-threatening.Why do allergies occur?
If your immune system overreacts to something that is typically harmless but causes an allergic reaction in someone who is sensitive to it, you will experience allergy symptoms. We call this chemical an allergy.
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Francis mixes 3/8 gal of white paint, 2 7/8 gal of blue paint, and 5/4 gal of red paint.
How much white paint will Francis need to make 7 gallons of the same color paint?
Francis has made _____ gal of paint when he first mixes the three colors.
The constant of proportionality of white paint to gallons of mixed paint is ______
Francis will need __________ gal of white paint to mix together 7 gals of the same color paint.
PLEASE HELP!!!!!
Blank one the options are: thirteen-fourths, thirty-one eights, or nine-halves.
Blank two the options are: one-seventh, one-twelfth, three twenty-sixths, or thirty-six thirds
Blank three the options are one, eighty-four, seven twelfths, or twenty-one twenty-sixths
Please help me with the problem.
The gal in the first mixes is nine-halves, the constant of proportionality is one-twelfth and the white paint required in 7 gals is seven twelfths
How to determine the quantity in mixes and the constant of proportionality?
Given:
White paint = 3/8 gal
Blue paint = 2 7/8 gal
Red paint = 5/4 gal
Gallons of first mixes = White paint + Blue paint + Red paint
Gallons of first mixes = 3/8 + 2 7/8 + 5/4 = 9/2 gal
The constant of proportionality of white paint to gallons of mixed paint:
constant of proportionality = white paint volume/ mixed paint volume
constant of proportionality = (3/8) / (9/2) = 1/12
The constant of proportionality of white paint to gallons of mixed paint gives the fraction of white color in the total volume
In order to make 7 gallons of the same color paint, the quantity of white paint he will need is:
White paint in 7 gallons = 1/12 x 7 = 7/12
Therefore, blank one is nine-halves, blank two is one-twelfth and blank three is seven twelfths
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find the product (x+2)(3x+1)(x-3)
(x+2)(3x+1)
x(3x+1)+2(3x+1)
3x²+x+6x+2
3x²+7x+2
(3x²+7x+2)(x-3)
x(3x²+7x+2)-3(3x²+7x+2)
3x³+7x²+2x-9x²-21x-6
3x³+7x²-9x²+2x-21x-6
3x³-2x²-19x-6
Please help me with both questions. the question one put a, b, c, or d. Like this: 1=a and same for the second question like 2=c. The test is due soon please help!
Step-by-step explanation:
4.
p(-2) = 6×-2 + 2 = -12 + 2 = -10
p(4) = 6×4 + 2 = 24 + 2 = 26
so,
p(-2) is smaller than p(4)
3.
r(-1) = -2×-1 - 5 = 2 - 5 = -3
The mean of 2,3,4,5,6,7,y is 10. then the value of y is.
Answer:
43
Step-by-step explanation:
to find mean we add all the terms together and them divide by the amount of terms so lets add what we know first
2+3+4+5+6+7
27
there are 7 terms including the y so for there to be a mean of 10 the terms will have to equal 70 when added so we just subtract
70-27
43
hopes this helps please mark brainliest
Despeja la variable c del siguiente ejercicio E=mc^2
Answer:
Step-by-step explanation:
m = E / c²
Julia meaured a line to be 16. 1 inche long. If the actual length of the line i 17. 1 inche, then what wa the percent error of the meaurement, to the nearet tenth of a percent?
The percent error of the meaurement is 6.21%
Julia meaured a line to be 16. 1 inche long
The actual length of the line i 17. 1 inche
Error in length = actual length - measured length
Error in length = 17.1 - 16.1 = 1 inch
Percent of error is defined as the difference between a measured or experiment value and an accepted or known value, divided by the known value, multiplied by 100
error percent = error/ known value x 100
= 1/16.1 x 100
= 6.21%
Therefore, the percent error of the meaurement is 6.21%
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R is inversley propeotional to A When R=12, A=1.5
The answer is 3.6 and 2 respectively.
What is the proportionality constant?
The proportionality constant is the ratio that connects two given values in a proportional relationship. The constant of proportionality is also known as the constant ratio, constant rate, unit rate, constant of variation, and even the rate of change.
We have,
R = k / A
where,
k is the proportionality constant
12 = k / 1.5
k = 12 * 1.5
k = 18
now
a) The value of R is?, when A=5.
R = 18 / 5
= 3.6
b) The value of A is? R=9.
A = 18 / 9
= 2
Hence, the answer is 3.6 and 2 respectively.
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2.9 - 4.8n - 3n + 5 simplified
Answer:
-7.8n+7.9
Step-by-step explanation:
