Answer:
a. let x be the number of apples and let y be the number of oranges
x + y = 60
x = y + 12
b. Apples: 24 Oranges: 36
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just don’t want to waste my time in case you don’t want me to :)
Find the mean number of merits received by the girls and boys.
Who did better on average?
Answer:
1. Mean merit for girls = 3.08
2. Mean merit for boys = 3.03
3. The girls did better.
Step-by-step explanation:
The following data were obtained from the question:
Marit >>> Girls >>> Boys
0 >>>>>> 5 >>>>>>> 4
1 >>>>>> 6 >>>>>>> 6
2 >>>>>> 11 >>>>>> 11
3 >>>>>> 15 >>>>>> 13
4 >>>>>> 14 >>>>>> 13
5 >>>>>> 13 >>>>>> 9
6 >>>>>> 1 >>>>>>> 2
1. Determination of the mean number of merit for girls.
Summation of merit of girls (ΣMG) = (0×5) + (1×6) + (2×11) + (3×15) + (4×14) + (5×13) + (6×1)
= 0 + 6 + 22 + 45 + 56 + 65 + 6
= 200
Summation of girls (ΣG) = 5 + 6 + 11 + 15 + 14 + 13 + 1
= 65
Mean merit for girls =?
Mean = ΣMG / ΣG
Mean = 200 / 65
Mean merit for girls = 3.08
2. Determination of the mean number of merit for boys.
Summation of merit of boys (ΣMB) = (0×4) + (1×6) + (2×11) + (3×13) + (4×13) + (5×9) + (6×2)
= 0 + 6 + 22 + 39 + 52 + 45 + 12
= 176
Summation of boys (ΣB) = 4 + 6 + 11 + 13 + 13 + 9 + 2
= 58
Mean merit for boys =?
Mean = ΣMB / ΣB
Mean = 176 / 58
Mean merit for boys = 3.03
3. Determination of who did better.
Mean merit for girls = 3.08
Mean merit for boys = 3.03
We can see from the data above that the mean merit for girls (i.e 3.08) is greater than that of boys (i.e 3.03). Therefore, the girls did better than the boys
The ratio of the perimeters of two similar polygons is 5:9. What is the ratio of the areas?
30 POINTS PLEASE HELP
Byron is conducting an experiment to determine whether a new medication is effective in reducing coughing. He finds 1,200 volunteers with coughing issues and divides them into two groups. The control group does not receive any medication; the treatment groups receives the medication. The patients in the treatment group show reduced signs of coughing. What can Byron conclude from this experiment?
Answer:
If all other factors are controlled, and the only variable being changed is the new medication, then Byron can conclude that the new medication is effective at reducing coughing. This can be further tested by repeated experiments by peers.
Step-by-step explanation:
The Byron can conclude from the experiment, that the new medication is effective in reducing coughing.
What is experiment?The experiment is the type of statistical study, in which the observer or the researcher see the change in the variable of a study with change in other variable experimentally by providing the necessary conditions.
Byron is conducting an experiment to determine whether a new medication is effective in reducing coughing.
He finds 1,200 volunteers with coughing issues and divides them into two groups such as,
The control group does not receive any medication; The treatment groups receives the medication.The patients in the treatment group show reduced signs of coughing. This indicates that the medication is effective on reducing the coghing if he controll other factors.
Thus, the Byron can conclude from the experiment, that the new medication is effective in reducing coughing.
Learn more about the experiment data here;
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7 Dividido 4 en decimales
Answer:
1.75
Step-by-step explanation:
A rectangular field is 90 meters wide and 125 meters long.
Give the length and width of another rectangular field that has the same perimeter but a larger area.
Answer:
The length and the width of another rectangle are 115 meters and 100 meters
Step-by-step explanation:
Let us solve the question
∵ A rectangular field is 90 meters wide and 125 meters long
∴ The length = 125 m
∴ The width = 90 m
∵ The perimeter of the rectangle = 2(length + width)
→ Substitute the value of the length and the width in the rule
∴ The perimeter of the rectangle = 2(125 + 90)
∴ The perimeter of the rectangle = 430 m
∵ The area of the rectangle = length × width
→ Substitute the value of the length and the width in the rule
∴ The area of the rectangle = 125 x 90
∴The area of the rectangle = 11250 m²
We need to find another rectangle with the same perimeter but larger in area, to do that make the length and width closed in values
∵ The length = 125 m and the width = 90 m
→ Subtract 10 from the length and add it to the width
∴ The new length = 125 - 10 = 115 m
∴ The new width = 90 + 10 = 100 m
→ Find the perimeter and the area of the new rectangle
∵ The perimeter of the new rectangle = 2(115 + 100)
∴ The perimeter of the new rectangle = 430 m ⇒ the same perimeter
∵ The area of the new rectangle = 115 × 100
∴ The area of the new rectangle = 11500 m² ⇒ larger than the original area
∴ The length and the width of another rectangle are 115 m and 100 m
Which ratio is equivalent to 9 : 180?
A. 5 : 200
B. 12 : 240
C. 10 : 400
D. 8 : 560
The equivalent ratio of 9:180 is 12:240.
9:189 = 1/20 = 1:20
12:240 = 12/240 = 1/20
Option B is the correct answer.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
9 : 180
We will simplify it into its simplest form.
180 = 9 x 20
Now,
9 : 180
This can be written as,
= 9 / 180
= 9 / (9 x 20)
= 1/20
= 1:20
Now,
A.
5:200
= 5/200
Write along with its common factor.
= 5 / (5 x 40)
= 1/40
= 1:40
B.
12:240
= 12 / 240
Write along with its common factor.
= 12 / (12 x 20)
= 1/ 20
= 1:20
C.
10:400
= 10/400
Write along with its common factor.
= 10/(10 x 40)
= 1/40
= 1:40
D.
8:560
= 8/560
Write along with its common factor.
= 8/(8 x 70)
= 1/70
= 1:70
Thus,
The equivalent ratio of 9:180 is 12:240.
9:189 = 1/20 = 1:20
12:240 = 12/240 = 1/20
Option B is the correct answer.
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10 points
Helen has five coins in her pocket: 3 nickels and 2 dimes. She grabs two
coins at random from her pocket without replacement. What is the
probability that she will select a nickel first, and then a dime? *
6/25
1/25
3/10
1/5
PLEASE ANSWER THIS (ALL OF MY POINTS)
Answer:
Its not 1/25 that's all I know
Guys please help me which one is the correct answer.
Answer:
I think 3 terms
I hope it's helps you
Answer:
2
Step-by-step explanation:
the letters count as term basically
3
Flying Home A bird flies from the bottom of a canyon that is 86 70 feet below sea level to a nest that
is 526 feet above sea level. What is the difference in elevation between the bottom of the canyon
and the bird's nest?
The difference between the elevation of the canyon and the bird's nest is feet.
(Simplify your answer. Type an integer proper fraction, or mixed number.)
Answer:
Step-by-step explanation:
805
8
10
Explanation:
The bottom of the conyon to ses level plus sea level to the bird nest.
First you add 82+723
And than you need to find the common denominator in this case 10
1
2
=
5
10
5
10
+
3
10
Consider 8x2 - 48x = -104.
Write the equation so that
a = 1: x2 + [?]x = [?]
Answer:
[tex] {x}^{2} - 6x = - 13[/tex]
Step-by-step explanation:
[tex]8 {x}^{2} - 48x = - 104[/tex]
We want the a-term to be 1.
Divide the whole equation by 8.
[tex] \frac{8}{8} {x}^{2} - \frac{48}{8} x = - \frac{104}{8} \\ {x}^{2} - 6x = - 13[/tex]
Answer:
Step-by-step explanation:
the first one is -6x and -13
the seconds one is 9 and 9
The Marriott Hotel charges $150 per night for a family
suite. They also charge 11% sales tax. How much
would you pay, including tax, for a 2 night stay in the
hotel?
Answer:
For two night in the hotel, you would pay $333 (including tax)
Step-by-step explanation:
Without tax, the price for 2 nights would be $150 times 2. So the price without tax would be....
$150 x 2 = $300
But then we have to be aware of 11% tax so we would multiply the price for two nights by 1.11 and get...
$300 x 1.11 = $333
Answer:
$333
Step-by-step explanation:
150 x 2 = 300
300 x 0.11 = 33
300 + 33 = 333
Soo $333 I believe?
Kathryn has been offered a job to paint the outside of a barn. If one gallon costs $40 and covers 400 square feet. How much will it cost to paint the barn with one coat?
Answer:
The answer is below
Step-by-step explanation:
The question is not complete but I would solve a similar question:
Alexis needs to paint the four exterior walls of a large rectangular barn. The length of the barn is 80 feet, the width is 50 feet, and the height is 30 feet. The paint costs $28 per gallon, and each gallon covers 420 square feet. How much will it cost Alexis to paint the barn? Explain your work.
Solution:
The barn has four walls. Let the four walls be labeled as w, x, y and z.
The area of wall w = 80 feet * 30 feet = 2400 feet²
The area of wall x = 50 feet * 30 feet = 1500 feet²
The area of wall y = 80 feet * 30 feet = 2400 feet²
The area of wall z = 50 feet * 30 feet = 1500 feet²
The total area of the four walls = area of wall w + area of wall x + area of wall y + area of wall z
The total area of the four walls = 2400 + 1500 + 2400 + 1500 = 7800 ft²
Given that each gallon of paint can cover 420 feet². Therefore number of gallon needed is:
number of gallon needed = 7800 ft² ÷ 420 ft² per gallon = 18.57
Since the gallon must be a whole number and 18 gallons wont be enough, therefore number of gallon needed is 19 gallons.
Cost of painting = 19 gallons * $28 per gallon = $532
How can I use factoring to create equivalent expressions
Answer: Convert each fraction to an equivalent fraction where the denominater(or however you spell it) is the LCD. LCD means least common denominater. But if you don't know what the LCD is than you need to pay attention to what the question is asking.
Step-by-step explanation:
The distance between New Orleans and Houston is 353 miles. At 12:20 PM, a bus
leaves Houston for New Orleans at a speed of 60 mph. Forty-five minutes later, a
motorcycle leaves New Orleans for Houston at a speed of 72 mph. At what time will
the bus and the motorcycle pass each other if neither stops nor changes speed?
Answer:
3:25 pm
Step-by-step explanation:
The distance between New Orleans and Houston is : 353 miles
Departure time of the bus : 12:20 pm
Speed of the bus: 60 mph
After 45 minutes, the bus will be at a distance of : 45/60 * 60 = 45 miles
Distance remaining to cover = 353-45 = 308 miles
Speed of the motorcycle = 72 mph
Relative speed = 60 + 72 = 132 mph
Time the two will meet = 308 / 132 = 7/3 hrs
7/3 hrs = 2 hrs 20 minutes
Time the two will meet is ;
12:20 pm + 45 minutes + 2 hrs 20 minutes
= 3:25 pm
Both the bus and the motorcycle are driving opposite to each other.
From the given data, the time at which both the bus and the motorcycle will pass each other is 3:25 PM
Given that:Distance between New Orleans and Houston = 353 miles.Bus leaves Houston for New Orleans at 12:20 PM.Speed of bus = 60 mphAfter 45 minutes, the motorcycle leaves New Orleans for Houston at 72 mph.To find:The time at which both the motorcycle and the bus will pass each other.
Calculations:Let after t hour from the time when motorcycle starts, they both meet.
Then we have:
353 miles = 45 minute traveled by bus + distance traveled by bus in t hour + distance traveled by motorcycle in t time.
Since 45 minutes is three fourth of an hour, thus:
Distance traveled by bus in 45 minutes is calculated as:
[tex]D_{Bus}(45 \:\rm min) = 60 \times \dfrac{3}{4} \: \rm miles = 45 \: \rm miles[/tex]
Distance traveled by bus in t hours is:
[tex]D_{Bus}(t \: \rm hours) = 60 \times t \: \rm miles = 60t \: \rm miles[/tex]
Distance traveled by motorcycle in t hour is:
[tex]D_{motorcycle}(t \: \rm hours) = 72 \times t \: \rm miles = 72t \: \rm miles.[/tex]
Thus, we have:
[tex]353 = 60t + 72t + 45\\\\308= 132t\\\\t = \dfrac{308}{132}\\\\t= \dfrac{7}{3}\: \rm hours\\\\t=2 \: \rm hours + 20 \: \rm minutes[/tex]
Thus, time at which they meet was 12:20 PM + 45 minutes + 2 hours + 20 minutes = 3:25 PM
Learn more about time and distance related questions here:
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Maria went to the Walmart and purchased a carton of milk for $2.65, a block of cheese for $4.36, a dozen of eggs for $1.98, and a case of soda for
$4.98. What is her total indluding a 7% sales tax?
A $14.58
B. $14.95
C $13.97
D. $0.98
Answer:
14.95
Step-by-step explanation:
i have a us sales tax calculator:)
Which of the following complex numbers is
2-
equivalent to ? (Note: i= -1)
2+i
Answer:
i = the square root of -1
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Given
[tex]\frac{2-i}{2+i}[/tex]
Multiply the numerator/ denominator by the conjugate of the denominator.
The conjugate of 2 + i is 2 - i , then
= [tex]\frac{(2-i)(2-i)}{(2+i)(2-i)}[/tex] ← expand numerator/ denominator using FOIL
= [tex]\frac{4-4i+i^2}{4-i^2}[/tex] [ i = [tex]\sqrt{-1}[/tex] ⇒ i² = - 1 ]
= [tex]\frac{4-4i-1}{4+1}[/tex]
= [tex]\frac{3-4i}{5}[/tex]
= [tex]\frac{3}{5}[/tex] - [tex]\frac{4}{5}[/tex] i → A
If you apply the changes below to the quadratic parent function, f(x) = what is the equation of the new function? Shift 1 unit right. Vertically stretch by a factor of 5. Reflect over the x-axis.
Answer:
f(x)=-5(x-1)^2
Step-by-step explanation:
The given parent function is: f(x)=x^2
If we shift to the right by 1 unit, the function becomes: f(x)=(x-1)^2
If we stretch by a factor of 5, the function becomes, f(x)=5(x-1)^2
Finally reflecting over the x-axis gives: f(x)=-5(x-1)^2
27 pounds of tomatoes cost $270 how many pounds of tomatoes can you get with $20?
Answer:
2
Step-by-step explanation:
270/27 = 10 so each pound is $10
On mondays,Wednesdays, and fridays,Luke packs his lunch.On Tuesday's and Thursdays,Luke buys his lunch.Draw a nonnumeric pattern to show the pattern lukes lunch for two weeks
An
Step-by-step explanation:
Max made cookies and cupcakes in the ratio 4:5. If 40 cupcakes were made, how many cookies were made?
Answer:
50 cookies
Step-by-step explanation:
We are told that Max made cookies and cupcakes in the ratio 4:5.
Now, we are told he 40 cupcakes were made.
Thus, by proportion we can find how many cookies were made.
Number of cookies made = 5 × 40/4 = 50 cookies
A square has an area of 1 square unit . What is the length of the square?
Answer:
1 unit
Step-by-step explanation:
1 unit * 1 unit = 1 square unit
Beth set a goal of running a total of 24 miles
this week. She ran 3. miles each morning.
Monday - Friday. How many more miles does
she needs to run in order to achieved her
goal?
Answer: 9 more miles
Step-by-step explanation:
3x5(Mon to Fri)=15
24-15=9
9 more miles
Calculate the constant of variation if y varies directly as x.
y = -3
x = 2
-[tex]\frac{3}{2}[/tex]
-[tex]\frac{2}{3}[/tex]
-1
-6
Plsss help thankss
Answer:
-³/₂Step-by-step explanation:
y = ax
-3 = a×2 {divide both sides by 2}
a = -³/₂
Given that CA = CB and m∠CPB = 90 degrees, which statement can you conclude is true?
Answer:
Its C
Step-by-step explanation:
CP is the perpendicular bisector, the correct option is C.
What is a Perpendicular Bisector?A line that bisects another line at 90 degree is called a perpendicular bisector.
The line CP is making an angle of 90 degree on the line AB
CA = CB (given)
CP =CP (Common)
∠CPB = ∠CPA = 90 ( Linear Pair)
Triangle CPA ≅ CPB, by SSA Congruence
Therefore by CPCTC, AP =PB
To know more about Perpendicular Bisector
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Find the value of x.
Answer:120
Step-by-step explanation:
because the triangle is a right angel which is 30 multiplied by 40 is 120its like 3 by 4 12 just add a 0
I f hate math it sucks
Answer:
3•(4-1) = 3•4-3•1 = 12 - 3
The property used is the distributive property
Step-by-step explanation:
Here, we want to fill in the box and state what property that was used
What we have in this case is that;
3• (4-1) equals 3•4 - 3•1 = 12-3
The property used in making the above is the distributive property
Evaluate y = 7x when x = -5
Answer:
-35
Step-by-step explanation:
7 x -5 = -35
hope this helped!! ^^
The solution of the equation y = 7x when x = -5 will be negative 35.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The linear equation is given below.
y = 7x
The slope of the equation is 7 and the y-intercept of the equation is zero. That means the equation of the line is passing through zero.
At x = - 5, the value of the variable 'y' will be given as,
y = 7(-5)
y = - 35
The arrangement of the situation y = 7x when x = - 5 will be negative 35.
More about the linear equation link is given below.
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PLEASE HELP PLEASE HELP PLEASE HELP
Answer:
Parallel: y = -5x - 34 ; Perpendicular: y = 1/5x - 14/5
Step-by-step explanation:
Lines that are parallel have the same slope. Lines that are perpendicular have opposite reciprocal slopes. (Ex. 1/3 ⇒ -3)
We need to substitute the given values into the point-slope form equation.
Parallel:
y + 4 = -5(x + 6)
y + 4 = -5x - 30
y = -5x - 34
Perpendicular:
y + 4 = 1/5(x + 6)
y + 4 = 1/5x + 6/5
y = 1/5x - 14/5
at a sale, shirts were sold for 15 dollars each. The price was 80% of their original price. what was the original price?
Answer:
$18.75
Step-by-step explanation:
Percent Proportions Formula- a/b = n/100
15/b = 80/100
Then using cross multiplication i would end up with: 1500/80
after dividing i would end up with $18.75 which is my answer.
Hope this helps! <3
help me pleaseeeeeeeeee
Answer:
D
Step-by-step explanation:
If the cost is the y-axis (said in question) it would be narrowed down to B and D. But since the rate of change is constant and will be the same, the line would be countinuous making D be the right answer.
