Answer:
≈ 38.76%Step-by-step explanation:
Given:
Cost = $1.29Sale = $0.79Sale percent is:
(1.29 - 0.79)/1.29*100% ≈ 38.76%it takes an engineer three hours to drive to his brother's house at an average speed of 50miles per hour. If he takes the same route home, but his average speed is 60 miles per hour, what is the time, in hours that it takes him to drive home?
Answer:
2.5 hours
Step-by-step explanation:
→ Write the formula
Speed = Distance ÷ Time
→ Find the distance for 3 hours at a speed of 50 mph
Distance = Speed × Time ∴ 3 × 150 = 150
→ Now work out the time
150 ÷ 60 = 2.5 hours
What is the radius of a hemisphere with a volume of 94 m", to the nearest tenth of a
meter?
Answer:
3.553774
Step-by-step explanation:
[tex] \frac{2}{3} \pi {r}^{3} = 94[/tex]
h
works out to 3.553774
The radius of the hemisphere with a volume of 94 m³ is :
r = [tex]$\sqrt[3]{\frac{141}{\pi } }[/tex]
What is a hemisphere? What is a mathematical function, equation and expression? hemisphere : a hemisphere is half of a sphere.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is hemisphere with a volume of 94 m³.
The volume of sphere is : V{S} = (4/3)πr³.So, the volume of hemisphere will be : V{S}/2 = V{H} = (2/3)πr³.So, we can write as :(2/3)πr³ = 94
πr³ = (94 x 3/2)
πr³ = 47 x 3
πr³ = 141
r³ = (141/π)
r = [tex]$\sqrt[3]{\frac{141}{\pi } }[/tex]
Therefore, the radius of the hemisphere with a volume of 94 m³ is :
r = [tex]$\sqrt[3]{\frac{141}{\pi } }[/tex]
To solve more questions on hemispheres, visit the link below -
https://brainly.com/question/29275358
#SPJ5
- 4. What is the roster form of the set K = {x/x are odd numbers from 2 to 8} ? A. H = {2, 4, 6, 8} C. H = {3, 4, 5, 6, 7} B. H = {3, 5, 7} D. H = {2,8} 1 2 3 ? Which method for theiva CIV & CLUJ -
Explanation:
We simply list any odd number that is between 2 and 8. The term "roster form" can be thought of as listing the roster of a sports team (eg: baseball). So instead of describing what the numbers look like, we list out the numbers themselves. Those numbers being 3, 5 and 7.
Something like {2,4,6,8} is ruled out because we're dealing with odd numbers only.
A truck can be rented from Company A for $100 a day plus $0.50 per mile. Company B charges $40 a day plus $0.80 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same. At nothing miles, the rental costs are the same from either company.
Answer:
18 miles
Step-by-step explanation:
Let
The number of miles = x .According to Question ,
100 + 0.5(x) = 40 + 0.8(x) 100 + 0.5x = 40+ 0.8x 100 - 40 = 0.8x - 0.5x 60 = 0.3x x = 60/3 * 10 x = 18(1 point) Find how many positive integers with exactly four decimal digits, that is, positive integers between 1000 and 9999 inclusive, have the following properties: (a) are divisible by 5 and by 7. 257 (b) are divisible by 5 but not by 7. (c) are divisible by 5. (d) are divisible by 7.
Using arithmetic sequences, it is found that there are:
a) 257 numbers that are are divisible by 5 and by 7.
b) 1543 numbers that are divisible by 5 but not by 7.
c) 1800 numbers that are divisible by 5.
d) 1286 numbers that are divisible by 7.
In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n-1)d[/tex]
In which [tex]a_1[/tex] is the first term.
Item a:
Numbers that are divisible by 5 and 7 are multiples of 35, as the least common multiple of 5 and 7 are 35, thus we have an arithmetic sequence with [tex]d = 35[/tex].The first multiple of 35 in this interval is 1015, so [tex]a_1 = 1015[/tex].The last multiple of 35 in this interval is 9975, so [tex]a_n = 9975[/tex].We apply the general formula and solve for n, thus:
[tex]a_n = a_1 + (n-1)d[/tex]
[tex]9975 = 1015 + 35(n-1)[/tex]
[tex]35n - 35 = 8960[/tex]
[tex]35n = 8995[/tex]
[tex]n = \frac{8995}{35}[/tex]
[tex]n = 257[/tex]
There are 257 numbers that are are divisible by 5 and by 7.
Item b:
First, we find the number of multiples of 5, with [tex]a_1 = 1000, a_n = 9995, d = 5[/tex]. Thus:
[tex]a_n = a_1 + (n-1)d[/tex]
[tex]9995 = 1000 + 5(n-1)[/tex]
[tex]5n - 5 = 8995[/tex]
[tex]5n = 9000[/tex]
[tex]n = \frac{9000}{5}[/tex]
[tex]n = 1800[/tex]
Of those numbers, 257 are multiples of 35, which means that they also are multiplies of 7, thus they are removed.
1800 - 257 = 1543.
There are 1543 numbers that are divisible by 5 but not by 7.
Item c:
From the previous item, there are 1800 numbers that are divisible by 5.
Item d:
We find the number of multiples of 7, with [tex]a_1 = 1001, a_n = 9996, d = 7[/tex]. Thus:
[tex]a_n = a_1 + (n-1)d[/tex]
[tex]9996 = 1001 + 7(n-1)[/tex]
[tex]7n - 7 = 8995[/tex]
[tex]7n = 9002[/tex]
[tex]n = \frac{9002}{7}[/tex]
[tex]n = 1286[/tex]
There are 1286 numbers that are divisible by 7.
A similar problem is given at https://brainly.com/question/23901992
In Example 2 we saw that Airbus A330-300s seat 330 passengers and cost $250 million each, Boeing 767-300ERs seat 270 passengers and cost $200 million each, while Boeing Dreamliner 787-9s seat 240 passengers and cost $250 million each. You are the purchasing manager of an airline company and have a spending goal of $4950 million for the purchase of new aircraft to seat a total of 5850 passengers. Your company has a policy of supporting U.S. industries, and you have been instructed to buy twice as many Boeings as Airbuses. Given the selection of three aircraft, how many of each should you order?
The number of order of each aircraft is an illustration of simultaneous equations.
You should order 7 Airbus A330-300s, 5 Boeing 767-300ERs and 9 Boeing Dreamliner 787-9s
To do this, we make use of the following representations:
A represents Airbus A330-300sB represents Boeing 767-300ERsC represents Boeing Dreamliner 787-9sFrom the question, we have the following equations
[tex]\mathbf{330A + 270B + 240C = 5850}[/tex] ----the number of passengers
[tex]\mathbf{B + C = 2A}[/tex] --- the relationship between the number of planes
[tex]\mathbf{250A + 200B + 240C =4950 }[/tex] --- the budget
Make A the subject in [tex]\mathbf{B + C = 2A}[/tex]
[tex]\mathbf{A=\frac{1}{2}(B + C)}[/tex]
Substitute [tex]\mathbf{A=\frac{1}{2}(B + C)}[/tex] in [tex]\mathbf{330A + 270B + 240C = 5850}[/tex]
[tex]\mathbf{330 \times \frac{1}{2}(B + C) + 270B + 240C = 5850}[/tex]
[tex]\mathbf{165B + 165C + 270B + 240C = 5850}[/tex]
[tex]\mathbf{435B + 405C = 5850}[/tex]
Divide through by 15
[tex]\mathbf{29B + 27C = 390}[/tex]
Make C the subject
[tex]\mathbf{C = \frac{390 - 29B}{27}}[/tex]
Substitute [tex]\mathbf{A=\frac{1}{2}(B + C)}[/tex] in [tex]\mathbf{250A + 200B + 240C =4950 }[/tex]
[tex]\mathbf{250 \times \frac{1}{2}(B + C) + 200B + 240C =4950 }[/tex]
[tex]\mathbf{125B + 125C + 200B + 240C =4950 }[/tex]
[tex]\mathbf{325B + 365C =4950 }[/tex]
Divide through by 5
[tex]\mathbf{65B + 73C =990}[/tex]
Substitute [tex]\mathbf{C = \frac{390 - 29B}{27}}[/tex]
[tex]\mathbf{65B + 73\times\frac{390 - 29B}{27} =990}[/tex]
Multiply through by 27
[tex]\mathbf{65B \times 27+ 73\times(390 - 29B) =990 \times 27}[/tex]
[tex]\mathbf{1755B+ 28470 - 2117B =26730}[/tex]
Collect like terms
[tex]\mathbf{1755B- 2117B =26730 - 28470}[/tex]
[tex]\mathbf{-362B =-1740}[/tex]
Solve for B
[tex]\mathbf{B =\frac{1740}{362}}[/tex]
[tex]\mathbf{B =5}[/tex] --- approximated
Substitute [tex]\mathbf{B =5}[/tex] in [tex]\mathbf{C = \frac{390 - 29B}{27}}[/tex]
[tex]\mathbf{C = \frac{390 - 29 \times 5}{27}}}[/tex]
[tex]\mathbf{C = \frac{245}{27}}}[/tex]
[tex]\mathbf{C = 9}[/tex] --- approximated
Recall that: [tex]\mathbf{A=\frac{1}{2}(B + C)}[/tex]
So, we have:
[tex]\mathbf{A = \frac{1}{2} \times (5 + 9)}[/tex]
[tex]\mathbf{A = \frac{1}{2} \times 14}[/tex]
[tex]\mathbf{A = 7}[/tex]
Hence, you should order 7 Airbus A330-300s, 5 Boeing 767-300ERs and 9 Boeing Dreamliner 787-9s
Read more about simultaneous equations at:
https://brainly.com/question/16763389
What is an equation of the line that passes through the point (-2,7)(−2,7) and is perpendicular to the line x-4y=24x−4y=24?
9514 1404 393
Answer:
4x +y = -1
Step-by-step explanation:
The equation of the perpendicular line can be written by ...
swapping the x- and y-coefficients, negating one of themchoosing a new constant so the line goes through the given point.The x- and y-coefficients in the given equation are 1 and -4, respectively. Since we want the leading coefficient positive, it is convenient to use 4 and 1 as the coefficients in the new equation. The constant can be found by substituting (x, y) = (-2, 7) to see what it is.
4x +y = 4(-2) +7 = -1
The desired perpendicular line has an equation ...
4x +y = -1
Mary has 3 more apples than Ted and 3 times as many apples as Alex. How many apples do all three of them have combined if Mary has 24 apples
Answer:
52
Step-by-step explanation:
24-3=21 21÷3=7 24 + 21 + 7 = 52
If 400 kids went to the amusement park and only 120 came back how many got lost?
Answer:
280
Step-by-step explanation:
400 - 120=280
280= number of children lost
What is the area of a circle with a diameter of 10cm (used 3.14)
Answer:
78.5
Step-by-step explanation:
A=[tex]pie[/tex]r^2
A=3.14 times 5^2
A=3.14 times 25
A= 78.5
Jesus Loves You!!!
Need help with math problem
Answer:
1/7
Step-by-step explanation:
Sana nakatutulong
#Carry on learning
Answer:
I Don't know if this is correct!
Step-by-step explanation:
1/7 of boys are not bringing their lunch as you can see.
I think it is 2/7
X = 6(2+3[2{7-3)+(4+1)-3]}
8.
In February, you have a balance of $270 in your bank account. Each month you deposit $45. Let January = 1, February = 2, and so on. Write an equation for this situation. Use the equation to find the balance in June.
A. y – 270 = 45x; $45
B. y = 45(x – 4); $180
C. y = 45(x – 4); $270
D. y – 270 = 45(x – 2) ; $450
Answer:
D. y – 270 = 45(x – 2) ; $450
Step-by-step explanation:
GradPoint answer
I got it correct on the quiz.
Maths Question - Topic Pythagoras
Please answer the question. Awarding 20 points
So for this you use a formula which is
a2 + b2 = c2
You name the highest one c, the rest are you choice
so now it will be - x2 + 7 2 = 14 2
you now square them,
now they will be x2 + 49 = 196
now it will be easy to solve it.
Find the slope between these two points:
(6, -12), (15, -3)
Answer:
The slope is 1
Step-by-step explanation:
Answer:
1+6/9
Step-by-step explanation:
-3-12,
6 -15
=-15/-9=1 and6/9
What is the value of x?
Enter your answer in the box. I need help ASAP/ Giving Branniest
x =
°
Answer:
x = 80
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
70+30+x = 180
100+x = 180
Subtract 100 from each side
100+x-100 = 180-100
x = 80
!HELP 20 POINTS!! Which table represents exponential growth?
Answer: The second table represents exponential growth.
Step-by-step explanation:
The second tables Y values go up with the X values so it is exponentia. The first table the Y values rise and then fall with the X values so it is not exponentia. Hope this helps!
At a recent meeting at the American College of Asthma, Allergy, and Immunology, researchers reported that allergy vaccinations are effective in treating sinusitis (inflammation of the membrane lining the facial sinuses) in individuals predisposed to allergies. Specifically, the researchers reported that of individuals predisposed to allergies find relief from their sinusitis after allergy vaccinations. Suppose that this number is accurate and that individuals predisposed to allergies are chosen at random and given allergy vaccinations.
a. Estimate the number of individuals in the random sample who do not find relief from their sinusitis by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable).
b. Quantify the uncertainty of your estimate by giving the standard deviation of the distribution.
troy is going to spain and needs to convert his dollars to Euros. He knows that when he goes, $5.00 is equivalent to about 3.45 Euros.
29. Find the unit rate of Euros per dollar
30. how many Euros will he get for $125?
Step-by-step explanation:
answer for number 2 is 85 euros
.68 euros per usd
Need answer please !!
Answer:
Step-by-step explanation:
Least common denominator is 10
there are 10/10 portions in the whole circle
1/2 = 5/10
2/5 = 4/10
10/10 - 5/10 - 4/10 = 1/10
what is square root of 50
Answer:
7.071067811865475
Step-by-step explanation:
Big brainers
help me pls
Answer:
$36 each
Step-by-step explanation:
she paid $96 during a sale for 4 rose bushes
96÷4=24
so $24 per rose bush during the sale
it said that each one was $12 less than the original price
so 24+12=36
Heyyy help maybe????????????
If lineman works 9 1/2 hours a day on a certain job at $28.70 per hour, what is the pay for a day?
PLS HELP ME WILL GIVE BRAINLIEST NO LINKS PLZ!!!
Answer:
130
Step-by-step explanation:
sorry if wrong
have a great day
4x^2y^7(-7x^6z^9+2y^3+6z^3)
Answer:
-28x⁸y⁷z⁹ + 8x² y ¹⁰ + 24x²y⁷z³
Step-by-step explanation:
1) Distribute
4x²y⁷(-7x⁶z⁹ + 2y³ + 6z³)
-28x⁸y⁷z⁹ + 8x² y ¹⁰ + 24x²y⁷z³
Answer:
-28x^8y^7z^9 + 8x^2y^10 + 24x^2y^7z^3.
Step-by-step explanation:
4x^2y^7(-7x^6z^9+2y^3+6z^3)
Expanding:
= -28x^8y^7z^9 + 8x^2y^10 + 24x^2y^7z^3.
The distance from Seattle to Orlando is about 3,000 miles. The distance from Earth to the moon is 80 times that distance.
What is the distance from Earth to the moon?
Answer:
vggyyrt5 gf t66t6
Step-by-step explanation:
yy dry t6t ty y yuri u fry uu huf yy875
Need help with a math question
First: Find out their decimal form.
- 2 1/6 as a decimal is 2.16
7/3 as a decimal
To get 7/3 converted to decimal, you simply divide 7 by 3. Don't worry. You don't need to get the calculator out, because we did this for you.
7/3 as a decimal is:
2.333333333
SPANISH
help i need an answer to these question (and please one that isn't a scam)
Answer:
for the first one its the middle answer
Step-by-step explanation:
i speak almost fluent spanish but i am not amazing at math
A person flying a kite has released 176 m of string . the string makes an angle of 27 degrees with the ground . how high is the kite? how far away is the kite horizontally? answer to the nearest meter
Answer:
80 m High and 157 m away
Step-by-step explanation:
Cos(27)=x/176
x= 156.8 m
Sin(27) = y/176
y = 80