Answer:
The answers are:
15.523 liters of petrol will be used.The cost of petrol will be: 2156.2 penceThe journey will take 3 hours and 16 minutes approximatelyStep-by-step explanation:
Given:
Distance of Hotel and car = 163 miles
Distance travelled by car per liter = 10.5 miles
The number of liters will be obtained by dividing the total distance by distance travelled in one liter.
So,
[tex]number\ of\ liters = \frac{163}{10.5} = 15.523\ liters[/tex]
2. Cost for petrol:
Cost of petrol per liter = 138.9 pence per liter
Then the total cost of petrol will be:
[tex]Total\ cost = 138.9*15.523 = 2156.1447 => 2156.2\ pences[/tex]
3. Time taken for journey
Distance travelled in an hour = speed = 50 miles per hour.
The speed is given by the formula:
[tex]speed = \frac{distance}{time}[/tex]
Putting the values
[tex]50 = \frac{163}{t}\\t = \frac{163}{50}\\t = 3.26\ hours[/tex]
It will take: 3 hours and 0.26*60 = 15.6 minutes => 3 hours 16 minutes
Hence,
The answers are:
15.523 liters of petrol will be used.The cost of petrol will be: 2156.2 penceThe journey will take 3 hours and 16 minutes approximatelyComplete the table so that the cost per banana remains the same.
number of
bananas
cost in
dollars
unit price
(dollars per banana)
4
0.50
6
0.50
7
0.50
10
0.50
10.00
0.50
16.50
0.50
Step-by-step explanation:
No. of banana Cost Unit price
4 2 0.50
6 3 0.50
7 3.5 0.50
20 10 0.50
20 10 0.50
33 16.50 0.50
Cost = No of banana x unit price
Cost = 4 x 0.50 = 2
Cost = 6 x 0.50 = 3
Cost = 7 x 0.50 = 3.50
Cost = 20 x 0.50 = 10
No of banana = Cost / Unit price
No of banana = 10 / 0.50 = 20
No of banana = 16.50 / 0.50 = 33
HELP!!
Look at the graph of the system of equations and
choose the option that best answers each question.
What is the solution?
Which equation represents the orange line, line 0?
Which equation represents the blue line, line B?
Answer: (15,180) y=0x+180 y=10x+30
Step-by-step explanation:
Answer:
first one: (15, 180)
second one: y = 0x + 180
third one: y = 10x + 30
Step-by-step explanation:
the sum of three consecutive multiples of 24 is 288 find these multiples
plzz solve these question now
click on the picture attached to get the answer
hope it helps!
..........
In 2000, in order to reduce the unemployment rate, France mandated all employers with 20 or more employees to reduce the workweek to 35 hours. Prior to the new law, the unemployment rate in France was 12%. In a random sample of 500 French workers taken a few years after the new law went into effect, 53 workers were found to be unemployed. Using the p-value method, conduct a hypothesis test to determine if the French unemployment rate dropped after the enactment of the 35- hour workweek law. Assume the significance level as 0.05. (7 Points)
Answer:
We accept H₀ for a CI = 95 % we din´t find differences in the unemployment level
Step-by-step explanation:
p₀ = 12 % p₀ = 0,12
From sample p = 53/500 p = 0,106
Test Hypothesis
Null Hypothesis H₀ p = p₀
Alternative Hypothesis Hₐ p < p₀
p₀*n = 0,12*500 = 60
q₀ * n = 0,88 * 500 = 440
Then the binomial distribution can be approximate to a normal distribution
The significance level α = 0,05 CI = 95 %
We need to develop a one-tail test (to the left ) find p-value and compare it with α.
p(s) = ( p - p₀ ) / √ p*q /n
p(s) = 0,106 - 0,12 / √(0,12)*(0,88)/500
p(s) = - 0,014 / 0,015
p(s) = - 0,93
With this P score we find the area under the bell shape curve
p-value = 0,1762 and compare that area with α = 0,05
Then p-value > 0,05
Therefore we accept H₀
2. Which of the following vectors is equal to vector with initial point (3, 7) and
terminal point (-5, -3)?
f. u= <2,-10>
g. u = <-2,-4>
h, u =<-8,4>
j. u = <-8,-10>
Answer:
j
Step-by-step explanation:
We can subtract 3 in the x-coordinate and 7 in the y-coordinate for both points.
(3-3,7-7) = (0,0)
(-5-3,-3-7) = <-8,-10>
Hope this helps!
7 1/2÷3/4 Please help this mom out!!
Answer:
10
Step-by-step explanation:
give me brainly
am i correct? let me know
LOOK AT PICTURE, WHOEVER HAS CORRECT ANSWER, I WILL MARK BRAINIEST :)
Answer:
B. 32
Step-by-step explanation:
instead of X in the equation put 3, you will get the answer as 32.
hope it helps!
Answer:
B. 32
Step-by-step explanation:
[tex]f(x) = \frac{1}{2} \bigg( {4} \bigg)^{x} \\ \\ plug \: x = 3 \\ \\ f(3) = \frac{1}{2} \bigg( {4} \bigg)^{3} \\ \\ f(3) = \frac{1}{2} \times 64 \\ \\ f(3) = 32[/tex]
PLZ HELP ME!!!
18 packages of basil cost $54. How many packages can you buy for $9?
Answer:
3
Step-by-step explanation:
Answer:
3 packages of basil.
Step-by-step explanation:
I divided 54/18 and got 3.
I used this number to calculate how much each package of basil costs, $3.00.
And 3 + 3 + 3 =9. So 3 packages of basil is hopefully the answer.
At the movie theater,
each chrink costs 3
dollars and each box of
candy costs x dollars.
Charlie bought 2 drinks
and one box of candy
Tyrell bought I drink and 3
boxes of candy Write a
simplfled expression
representing how much
mone Charlie spent.
Step-by-step explanation:
Charlie bought 2 drinks and 1 box of candy
=> 2($3) + 1($x)
=> $(6 + x).
URGENT !!
A popular television show recently released a video
preview for the upcoming season on íts website As
fans of the show discover the video, the number of
views of the preview video has grown each day
during the last 2 vweeks. The number of days since
the release of the video and the natural log of the
number of video views ís shown in the scatterplot.
Answer:C
Step-by-step explanation:
Please help me thank you I appreciate it
Answer:
srt is 33
srq is 66
trq is 33
Answer:
∠SRT = 33°
Step-by-step explanation:
To track what angle they're talking about, connect the letters listed for each angle like connect the dots.
∠QRT is 33°
RT bisects ∠SRQ, meaning it's in the middle of it.
So half of ∠SRQ is 33°, meaning the full angle is double that: 66°
That also means that the other half of the angle is equal to the first half. ∠SRT=33°
convert 25% into fraction with method
Answer:
¼
Step-by-step explanation:
25%
= 25÷100
= ¼ (°.° 25×4 = 100)
An infinite solution means the solutions for the algebraic equation are endless
Answer:
Correct
Step-by-step explanation:
I need the answer to this test question. We were assigned to correct our test for homework. I cannot think of another solution to this problem, please help.
Answer:
angle 1 = 70 degree and angle 2=95 degree
Step-by-step explanation:
for the first angle
180 -70 = 110
and 180-110 = 70 ( opposite angles )
for the second angle
180-85 =95
and again 180-95 =85(opposite angles)
180-85=95 (the straight line property)
Find the volume of the region between the cylinder z=3y^2 and the xy-plane that is bounded by the planes x=0,x=1 ,y=-1 and . z = y2 x = 0 x = 1 y = − 1 y =1
Answer:
The volume of the region V = 2
Step-by-step explanation:
Given that:
[tex]z_1 = 3y^2[/tex] ;
where initially;
[tex]z_o = 0; \ x_o = 0; \ x_1 = 1; \ y_o= -1; \ y_1 = 1[/tex]
The volume of the region is given by a triple which is expressed as:
[tex]V = \int_x \int_y \int_z \ dz \ dy \ dx[/tex]
[tex]V = \int \limits ^{x_1 = 1}_{x_o=0} \int \limits ^{y_1 = 1}_{y_o=-1} \int \limits ^{z_1 = 3y^2}_{z_o=0} \ dz \ dy \ dx[/tex]
[tex]V = \int \limits ^{1}_{0} \int \limits ^{ 1}_{-1} \int \limits ^{3y^2}_{0} \ dz \ dy \ dx[/tex]
[tex]V = \int \limits ^{1}_{0} \int \limits ^{ 1}_{-1} \Bigg [z \Bigg]^{3y^2}_{0} \ dy \ dx[/tex]
[tex]V = \int \limits ^{1}_{0} \int \limits ^{ 1}_{-1} \Bigg [3y^2 \Bigg] \ dy \ dx[/tex]
[tex]V = \int \limits ^{1}_{0} \Bigg [\dfrac{3y^3}{3} \Bigg]^1_{-1} \ dx[/tex]
[tex]V = \int \limits ^{1}_{0} \Bigg [\dfrac{3(1)^3}{3}- \dfrac{3(-1)^3}{3} \Bigg] \ dx[/tex]
[tex]V = \int \limits ^{1}_{0} \Bigg [1-(-1)\Bigg] \ dx[/tex]
[tex]V =2 \Bigg [x \Bigg] ^1_0[/tex]
V = 2
Thus, the volume of the region is 2
A landscape contractor wants to make an exposed gravel border of uniform width around a rectangular pool in a garden. The pool is 10 feet long and 6 feet wide. There is enough material to cover 36 square feet. How wide should the border be
Answer:
Border should be 1 ft wide
Step-by-step explanation:
The pool is 10 feet long and 6 feet wide.
Now, since the landscape contractor wants to make an exposed gravel border of uniform width. Let the uniform width of the border be x. Thus it means the length is now (10 + 2x) and width is now (6 + 2x).
We are told there is enough material to cover 36 square feet.. Thus;
New area - old area = 36
[(10 + 2x) × (6 + 2x)] - (10 × 60) = 36
4x² + 32x + 60 - 60 = 36
4x² + 32x = 36
Subtract 36 from both sides to get;
4x² + 32x - 36 = 0
Using quadratic formula, we have;
x = -9 or 1
We will pick the positive value as the width can't be negative.
Thus;
x = 1 ft
Shara and her brother have n dollars to spend at the school carnival . They each spend more than 6 dollars . Create an inequality to represent the total number of dollars ,n, shara and her brother spent at the carnival
Help Me please
Veronica wants to check her work after evaluating 108 ÷(-6) what steps can she follow to verify her answer?
Divide her answer by -6 and see if the result is -108.
Divide her answer by -108 and see if the result is -6.
Multiply her answer by -6 and see if the result is -108.
Multiply her answer by -108 and see if the result is -6.
Answer:
Its C
Step-by-step explanation:
Danae is shopping for grass seed. The prices of bags from four brands are shown in the table.
Grass Seed
Brand
Price
Coverage
A
$18.99
3,000 square feet
B
$22.99
4,000 square feet
C
$31.99
5,000 square feet
D
$36.99
6,000 square feet
Which brand of seed has the lowest cost per square foot?
Brand A
Brand B
Brand C
Brand D
Answer:
The answer is B got it right :)
Step-by-step explanation:
A runner burns 100 Calories for every 15 minutes spent running. How many hours of running would it take for a runner to burn 600 Calories?
Graph the line that passes through the point (0,-7) and (-3,-9) and determine the equation of the line
Answer:
The equation is y=2/3x-7
Step-by-step explanation:
-9-(-7) /-3-0
-2/-3
that's your answer
In the diagram ce=12 units and be=5 units based on the given information what is ae?
Answer:
AE = 12 units
Step-by-step explanation:
ce is the same unit as AE
Answer:
C: 12 units
Step-by-step explanation:
Find the area of the trapezoid below by decomposing the shape into
rectangles and triangles.
6
5
8
3
Answer:
72 square units
Step-by-step explanation:
The area of the rectangle in the middle: 6x8 = 48 square units
The area of the triangle on the left: (5x6)/2 = 30/2 = 15 square units
The area of the triangle on the right: (3x6)/2 = 18/2 =9
(The 6 for the height of the triangle on the right is from the left side of the rectangle in the middle, they have to be the same length)
48+15+9 = 72 square units
Complete the table for the equation y = x - 2. Then use the table to graph the equation.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the equation
[tex]y = x-2[/tex]
comparing with the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
so
The slope of the line y = x-2 will be: m = 1The y-intercept of the line = b = -2Let us plug in some values
at x = 0, y = x-2 ⇒ y = 0-2 ⇒ y = -2
at x = 1, y = x-2 ⇒ y = 1-2 ⇒ y = -1
at x = 2, y = x-2 ⇒ y = 2-2 ⇒ y = 0
at x = 3, y = x-2 ⇒ y = 3-2 ⇒ y = 1
at x = 4, y = 4-2 ⇒ y = 4-2 ⇒ y = 2
Thus, the table of the equation y = x-2 becomes
x y
0 -2
1 -1
2 0
3 1
4 2
Please check the attached graph.
A string is 5.8 meters long. What is it's length in centimeters
Answer:
a
Step-by-step explanation:
because I said it was jejwjwjeiejehxueh ed uejrhcu
Answer:
580
Step-by-step explanation:
If 100 centimeters are in a meter, then we have to multiply 5.8 by 100 to find out the length of the string in centimeters.
(hope this helped)
20 points! For students majoring in Hospitality Management, it was determined that 5% have visited 1–10 states, 16% have visited 11–20 states, 45% have visited 21–30 states, 19% have visited 31–40 states, and 15% have visited 41–50 states. Suppose a Hospitality Management student is randomly selected. What is the probability that the student has visited 21 or more states?
0.15
0.21
0.45
0.79
Answer:
So i feel like the answers is .79
Step-by-step explanation:
asking for the ones that visited 21 or more so thats .45+.19+.15=.79
Answer:
.55
Step-by-step explanation:
1. A company that produces bread is concerned about the distribution of the amount of sodium in its bread. The company takes a simple random sample of 100 slices of bread and computes the sample mean to be 103 milligrams of sodium per slice. Assume that the population standard deviation is 10 milligrams. a) Construct a 95% confidence interval estimate for the mean sodium level. b) Construct a 99% confidence interval estimate for the mean sodium level.
Answer:
The 95% confidence interval is [tex] 101.13 < \mu < 104.87 [/tex]
The 99% confidence interval is [tex] 100.54 < \mu < 105.46 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 110
The sample mean is [tex]\= x = 103 \ mg[/tex]
The population standard deviation is [tex]\sigma = 10 \ mg[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.96 * \frac{ 10 }{\sqrt{110} }[/tex]
=> [tex]E =1.8688 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex]103 - 1.8688 < \mu < 103 + 1.8688 [/tex]
=> [tex] 101.13 < \mu < 104.87 [/tex]
Considering question b
From the question we are told the confidence level is 99% , hence the level of significance is
[tex]\alpha = (100 - 99 ) \%[/tex]
=> [tex]\alpha = 0.01[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 2.58[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 2.58 * \frac{ 10 }{\sqrt{110} }[/tex]
=> [tex]E =2.4599 [/tex]
Generally 99% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex]103 - 2.4599 < \mu <103 + 2.4599 [/tex]
=> [tex] 100.54 < \mu < 105.46 [/tex]
there are 60 inches in 5 feet. How many inches are in8 feet?
Ok so
96 inches is the answer u calculate
Answer:
96 inches
Step-by-step explanation:
Brainliest me pls
Have a nice day! <3
18. The radius of a circle is increasing at a constant rate of 3 cm per second. What is the rate of increase (at any point)
of the area of the circle?
Step-by-step explanation:
you should have to give more points for this answer
Apollo Spas services 156 hot tubs. If each hot tub needs 105 mL of muriatic acid, how many liters of acid are needed for all of the hot tubs?
Answer:
16380 mL or 16.380 L
Step-by-step explanation:
1 hot tub requires 105 mL of Acid
156 hot tubs requires 105 * 156 mL of acid = 16380 mL of acid are needed.
16380 / 1000 mL/L = 16.380 Liters.