2 1/4 miles => 1 week
1 mile => 1 ÷ 9/4
( 9/4 is an improper fraction of 2 1/4 )
12 1/2 miles => ( 1 ÷ 9/4 ) × 25/2
= 50/9
= 5 5/9 weeks
( 25/2 is an improper fraction of 12 1/2 )
Therefore, it will take 5 5/9 weeks for the company to replace the stretch of road.
( you can round it off to 6 weeks if the qn specify to give to the nearest whole number )
Write the equation of the line that goes through the point
(5,8) and is parallel to the x-axis.
Answer:
Y=8
Step-by-step explanation:
If it's a line that is parallel to the x-axis, and you know the equation of a line is y=mx+b, the slope(m) is 0 because the line is not a positive or negative slope (since it's parallel to the x-axis).
So, we now have y=b, where b is the y-intercept. Now, since we know one of its coordinates are (5,8), we know that this line will always stay on y=8 since 8 is the y coordinate of (5,8)
An easy shortcut is if you see the question say parallel to the x-axis, the equation of the line will be y=___; if it says the line is parallel to the y-axis, the equation will be x=___
The Pham family and the Morgan family each used their sprinklers last summer. The water output rate for the Pham family's sprinkler was 25L per hour. The water output rate for the Morgan family's sprinkler was 35L per hour. The families used their sprinklers for a combined 65total of hours, resulting in a total water output of 1975L . How long was each sprinkler used?
Answer:
Pham Family = 30 hours
Morgan Family = 35 hours
Step-by-step explanation:
Step 1 Deriving the equation
Let the duration in hours of Pham Family sprinkler = "x"
Let the duration in hours of Morgan Family = "y"
Total combined duration = 65 hours provided.
That is:
x + y = 65 Equation 1
Pham's sprinkler capacity = 25 litre per hour
Total water through this = 25 litre per hour for "x" hours = 25x
Morgan's sprinkler capacity = 35 litre per hour
Total water through this = 35 litre per hour for "y" hours = 35y
Now, provided
Total water output from both = 1,975 litre
That means
25x + 35y = 1,975 Equation 2
Step 2 Solving the equation
Let us multiply equation 1 with 25
We have
25x + 25y = 65 [tex]\times[/tex] 25
25x + 25y = 1,625 Revised Equation 1
Subtracting revised equation 1 from equation 2 we have:
(25x - 25x) + (35y - 25y) = (1,975 - 1,625)
0 + 10y = 350
y = 350/10 = 35
Since y = 35
Putting value of y in original equation 1 we have
x + 35 = 65
x = 65 - 35 = 30
Thus, Total Sprinkler hours of Pham = 30
Total Sprinkler hours of Morgan = 35
Question 3 (2 points)
Using the statement below, determine the hypothesis and conclusion,
If two integers are even, then their sum is even
Column A
Column B
1.
Hypothesis
a. If two integers are even
2.
Conclusion
b. then their sum is even
c. two integers are even
d. their sum is even
Answer:
Hypothesis
a. If two integers are even
Conclusion
b. then their sum is even
Step-by-step explanation:
We divide the statement into two parts . The first part is true only when the second is also true. The only way we can reject the hypothesis is that the conclusion is false.
In the statement "If two integers are even, then their sum is even" the part "If two integers are even" would be considered true or false on the basis of "then their sum is even" validity. So if the "then their sum is even" (conclusion ) Part is proved then the "If two integers are even" ( hypothesis) is also true.
Hence the hypothesis is
a. If two integers are even
and
Conclusion is
b. then their sum is even
Please answer the last conversion !! 531 ms to s
Answer:
0.531 s
Hope it helped u if yes mark me BRAINLIEST
A lamppost casts a shadow of 18 ft when the angle of elevation of the Sun is 33.7 degrees. How high is the lamppost? Round to the nearest foot
Answer:
12 feet or 12 ft
Step-by-step explanation:
We solve for this question using Trigonometric function of Tangent
tan θ = Opposite/ Adjacent
θ = Angle of elevation = 33.7°
Opposite side = Height of the lamp = ??
Adjacent side = Shadow of the lamp = 18 feet
Hence,
tan 33.7° = Opposite/ 18
tan 33.7° × 18 = Opposite
Opposite = 12.004507735 feet
Approximately to the nearest foot = 12.0feet
The height of the lamppost with a shadow of 18 ft. is 12 feet.
Trigonometric ratio
Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let h represent the height of the lamppost, hence:
tan(33.7) = h/18
h = 12 feet
The height of the lamppost with a shadow of 18 ft. is 12 feet.
Find out more on Trigonometric ratio at: https://brainly.com/question/1201366
5. The Robin's Nest Nursing Home had a fundraising goal of $9,500. By the
end of the fundraiser, they had exceeded their goal by $2,100. How much
did they raise?
John travels in an airplane a distance of 800 km. For half of the distance, the
airplane flies at a speed of 900 km/h and for the rest of the distance, it flies at a
speed of 760 km/h. How long does the trip take?
Answer:
Time for the trip= 0.97 hours
Step-by-step explanation:
Distance covered in total = 800km
First half of the journey
= 800/2= 400km
Speed for first half= 900km/h
Time for the first half= 400/900
Time = 4/9 Hours
Distance covered in total = 800km
Second half of the journey
= 800/2= 400km
Speed for second half= 760km/h
Time for the second half= 400/760
Time = 10/19 Hour
Total time for Trip= 4/9 + 10/19
Time for the trip= 0.97 hours
4 - m/2 = 10
Please help!!
Answer:
M=3
Step-by-step explanation:
4-m/2=10subtract 4 from each sideget m/2=6then divide 2 from 6 and get m=3Hope this helps:)
You are trying to estimate the average amount a family spends on food during a year. In the past the standard deviation of the amount a family has spent on food during a year has been approximately $900. If you want to be 99% sure that you have estimated average family food expenditures within $50, how many families do you need to survey? Round your answer up to the nearest whole number, if necessary.
Answer:
the number of families needed for the survey is 2,157
Step-by-step explanation:
The computation of the number of families needed for the survey is shown below:
Given that
The Standard deviation is $900
Service level = 99%
z value at 99% = 2.58
Expenditures = $50
Based on the above information
The number of families needed for the survey is
[tex]n = (\frac{zs}{E})^2\\\\= (\frac{2.58\times 900}{50})^2[/tex]
= 2,157
Hence, the number of families needed for the survey is 2,157
the seventh grade winner ran the mile in 5 minutes and 8 seconds. the eight grade winner ran the mile in 4 minutes and 55 seconds. how many more seconds did it take for the seventh grade winner to run a mile?
Answer:
13 seconds more
Step-by-step explanation:
What is the most appropriate measurement of the amount of liquid in Starpoint's pool?
A. ML.
B. KL.
C. CL.
D. Cg.
Answer: B. KL.
Step-by-step explanation:
A kiloliter (kl) is a unit which is derived from the metric SI (System International). This measurement is used when unit of volume with sides equal to one meter (1m) and as such, is equivalent to one cubic meter. One kiloliter (1kl) is which is same as one thousand liters (1000l). The kiloliter is used when volume of liquid is to be measured. This applies to a pool in the question.
Solve -1 4/5x = 9. 5 1/5 -5 -1/5
Steps to solve:
-1 4/5x = 9
~Simplify
-9/5x = 9
~Multiply 5/-9 to both sides
x = 5
Best of Luck!
Answer:
5
Step-by-step explanation:
Proportional ratios are like equivalent fractions, but
Answer:
what is the question?
Step-by-step explanation:
choose all the expression with a difference less than 5
8.3
- 4.07
9.33
-3.99
7.1
- 2.603
12.3
- 7.08
7.005
- 2.005
Answer:
a and c
a and c are the expressions with a difference less than 5
Step-by-step explanation:
a) 8.3-4.07=4.23
b) 9.33-3.99=5.34
c) 7.1-2.603=4.497
d) 12.3-7.08=5.22
e)7.005-2.005=5
Hope this helps ;) ❤❤❤
What is 78 divided by 4.68
Answer:
16.67
Step-by-step explanation:
78 / 4.68
= 7800 / 468
= 16.67
When 78 is divided by 4.68 it gives 16.67 as a result.
DivisionFrom the four basic operations of arithmetic, the division is one. The division is generally done when we want to distribute something in equal portions.
therefore, 78 divided by 4.68 can be solved as,
Given to us78 divided by 4.68
[tex]78\div 4.68\\\\=\dfrac{78}{4.68}\\\\=\dfrac{78}{\dfrac{468}{100}}\\\\\\=\dfrac{78 \times 100}{468}\\\\=\dfrac{7800}{468}\\\\=16.6667 \approx 16.67[/tex]
Hence, when 78 is divided by 4.68 it gives 16.67 as a result.
Learn more about Division:
https://brainly.com/question/369266
Please help. I’ll mark you as brainliest if correct!
One leg of a right triangle has a length of 3 m. The other sides have lengths that are consecutive integers. Find these lengths.
The other leg is ___ m.
Answer:
The other leg is 4 m long, and the hypotenuse is 5 m long
Step-by-step explanation:
Recall that the longest side of a right angle triangle is its hypotenuse, and that the legs and hypotenuse must verify the Pythagorean identity:
[tex]hyp^2=leg_1^2+leg_2^2[/tex]
so, we know that the other two sides have consecutive integers for lengths. That is: if one is "x" in length, the other one must be "x+1"
So we can assume that the largest of this is the hypotenuse: "x+1"
Not, they must verify the Pythagorean identity:
[tex]hyp^2=leg_1^2+leg_2^2\\(x+1)^2=x^2+3^2\\x^2+2\,x+1=x^2+9\\2\,x+1=9\\2\,x=8\\x = 4[/tex]
then, the other side is of length 4 m, and finally the hypotenuse is of length 4+1 = 5 m
The EOQ model
A) determines only how frequently to order.
B) considers total cost.
C) minimizes both ordering and holding costs.
D) all of the alternatives are correct.
Answer:
B) considers total cost.
Step-by-step explanation:
Economic order quantity (EOQ) is the ideal order quantity a company should purchase to minimize inventory costs such as holding costs, shortage costs, and order costs.
The formula for EOQ is:
Q= √2DS/H
Q=EOQ units
D=Demand in units (typically on an annual basis)
S=Order cost (per purchase order)
H=Holding costs (per unit, per year)
262 fewer than d is z
write the sentence as a equation
Answer:
Step-by-step explanation:
d - 262 = z
How many 10’s are in 1000
Answer:
Step-by-step explanation:
10x100=1000
Its all about the Zeros
Solve for x.
5x – 7 = 8x – 4
Answer:
x =-1
Step-by-step explanation:
[tex]5x- 7 = 8x - 4\\\\\mathrm{Add\:}7\mathrm{\:to\:both\:sides}\\5x-7+7=8x-4+7\\\\Simplify\\5x=8x+3\\\\\mathrm{Subtract\:}8x\mathrm{\:from\:both\:sides}\\5x-8x=8x+3-8x\\\\Simplify\\-3x =3\\\\\mathrm{Divide\:both\:sides\:by\:}-3\\\frac{-3x}{-3}=\frac{3}{-3}\\\\Simplify\\x=-1[/tex]
Answer:
x = -1
Step-by-step explanation:
[tex]5x - 7 = 8x - 4\\[/tex]
Collect like terms and simplify
[tex]5x-8x =-4+7\\-3x =3[/tex]
Divide both sides of the equation by -3
[tex]\frac{-3x}{-3} = \frac{3}{-3} \\\\x =-1[/tex]
If the ratio of boys to girls at the school is 2:5 and there are 40 boys how many girls are there?
Answer:
100 girls
Step-by-step explanation:
The ratio of boys : girls is 2 : 5.
In other words, boys are 2 parts of the school while girls are 5 parts of the school.
Since there are 40 boys, 2 parts of the school is 40. Thus:
[tex]2p = 40\\p = 20[/tex]
1 part is 20.
Since there are 5 parts girls, there are
[tex]5p = 5*20 = 100[/tex]
100 girls.
Answer: 100 girls
The total number of students in school is 140 and number of girls at the school is equal to 100.
What do you mean by ratio ?
Ratio is the quantitative relationship between two values indicating how frequently one value contains or is contained within the other.
It is given that the ratio of boys to girls at the school is 2:5.
Let's assume the total number of students in school is x.
We now need to find the number of girls in the school but before that we must try to find the total number of students in the school.
Sum of ratios = 2 + 5 = 7
It is given that there are 40 boys in students.
2/7 of the total number of students are boys.
i.e., the expression can be written as :
2x / 7 = 40
2x = 40 × 7
2x = 280
x = 140
The total number of students in school is 140.
So , the number of girls in school is :
= 140 - 40
= 100
There are 100 girls in the school.
Therefore , the total number of students in school is 140 and number of girls at the school is equal to 100.
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Find the LCM and HCF.
(a) p3 + 8 and p2 - 4
Answer:
In bold below.
Step-by-step explanation:
p^2 - 4 = (p - 2)(p + 2)
Note that 8 = 2^3 so
p^3 + 8 = ( p + 2)(p^2 + 4 - 2p)
So The HCF is p + 2.
The LCM = (p + 2)(p - 2)(p^2 + 4 - 2p)
n engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.4 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 9 engines and the mean pressure was 5.7 pounds/square inch with a variance of 0.81. A level of significance of 0.025 will be used. Assume the population distribution is approximately normal. Make the decision to reject or fail to reject the null hypothesis.
Answer:
The calculated t- value = 1.11 > 2.89 at 0.025 level of significance
Null hypothesis is rejected
The engineer designed the valve such that it would produce a mean pressure is not equal to 5.4
Step-by-step explanation:
Step(i):-
Given mean of the Population (μ) = 5.4
Given sample size 'n' = 9
Mean of the sample (x⁻) = 5.7
Standard deviation of the sample (s) = 0.81
Step(ii):-
Null Hypothesis: H₀: The engineer designed the valve such that it would produce a mean pressure of 5.4
H₀: μ = 5.4
Alternative Hypothesis : H₁: μ ≠ 5.4
Level of significance = 0.025
Test statistic
[tex]t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }[/tex]
[tex]t = \frac{5.7 -5.4}{\frac{0.81}{\sqrt{9} } }[/tex]
t = 1.11
Degrees of freedom
ν = n-1 = 9-1 =8
t₀.₀₁₅ , ₈ = 2.89
The calculated t- value = 1.11 > 2.89 at 0.025 level of significance
Null hypothesis is rejected
The engineer designed the valve such that it would produce a mean pressure is not equal to 5.4
Gutina finds a limited edition shirt from her favorite singer. It was originally $52. Then, she got a discount, 30%. what is the price now?
Answer:
$36.40
Step-by-step explanation:
Purchase Price:
$52
Discount:
(52 x 30)/100 = $15.60
Final Price:
52 - 15.60 = $36.40
$36.40 is the answer. Hope this helps!
Answer:
$36.40
Step-by-step explanation:
Sorry if i'm wrong hope this helps
Phone numbers in Italy are in the format AB-CDDD-XXXX and have the following conditions · A can be any number 3-9 · B can be any number 4-9 · C can be any number 5-9 · D can be any number 1-7 · X can be any number 0-9 How many total phone numbers can the Italians have? Question 4 options: 720,300,000 phone numbers 823,200,000 phone numbers 102,900,000 phone numbers 16,800,000 phone numbers
Answer:
Hey there!
A: 7
B: 6
C: 5
D: 7
X: 10
7x6x5x7x7x7x10x10x10=720,300,000
Let me know if this helps :)
The average cost of an item is defined as the total cost to produce divided by the number produced.A shoe company that pays $240,000 in rent and employee salaries per year figures it also must pay $3.50 in materials per shoe set it produces Write the equation needed to solve the problem. Use the equation to find the number of shoe sets the company would need to produce for the average cost of each set to be $7.50. Work out the problem, show all of your steps, and provide explanations.
Answer:
Step-by-step explanation:
Average cost = Total cost to produce / number of items produced
Fixed cost per year = $240,000
Variable cost = $3.50s
Where s = number of shoes produced
Total cost= fixed cost + variable cost
Total cost = $240,000 + $3.50s
When average cost = $7.50
Average cost = Total cost to produce / number of items produced
7.50 = $240,000 + $3.50s / s
Cross product
7.50s = $240,000 + $3.50s
Collect like terms
7.50s - 3.50s = 240,000
4s = 240,000
divide both sides by 4
s = 240,000 / 4
= 80,000
s = 80,000
Simplify the following:
1.4 : 0.21
best answer gets brainliest.
Answer:
1.4/0.21= 140/21= 20/3
Step-by-step explanation:
Answer:
20:3
Step-by-step explanation:
decimal points can't be ratios so we have to convert to whole numbers:
so 1.4:0.21 becomes:
140:21
after simplifying fully( i divided both sides by 7) we come to 20:3.
What are the coordinates of B if the midpoint of line segment AB is (2,-5) and the coordinates of point A is (4,4)?
Answer:
i think it will be 20 unit diatance .
There are 20 triangles and 4 squares. What is the simplest ratio of squares to total shapes
Answer:
1/6
Step-by-step explanation:
Given:
Number of squares = 4Number of triangles = 20Total
Number of total shapes = 20 + 4 = 24Ratio of squares to total shapes:
4/24 = 1/6Answer:
1:6
Step-by-step explanation:
There are 20 triangles and four squares, so we know the first part of the ratio is 4. The total number of shapes is 24, so we get 4:24, and if we simplify, we then get 1:6.
Hope this helps!
Evaluate the expression when a=2 and b=20