If the price is p and the quantity of bread sold is q = 400 - 100p, the average collection, in reais, depending on the price p, is given by R (p) = (400 - 100p). P
For this collection to be R $ 300.00, you must have:
(400 - 100p). p = 300 ⇔ 4p - p² = 3 ⇔ p² - 4p + 3 = 0 ⇔ p = 1 or p = 3
R $ 300.00
The current price is R $ 3.00, as R $ 300,000 / 100 = R $ 3
To maintain the collection, the price must be lowered to R $ 1.00 (R $ 0.50 <R $ 1.00 <R $ 1.50)
ANSWER: letter A
4.a) A car consumes a gallon of petrol for every 30 km drive. The driver of the car set out on a journey of 420 km with 10 gallons of petrol in the fuel tank. i) How many more gallons of petrol will be needed to complete the journey? ii)find the cost of the petrol for the journey of 420km if a gallon of petrol cost GH¢5.50
i) 4 more gallons of petrol will be needed to complete the journey.
ii) The cost of the petrol for the 420 km journey is GH¢55.00.
i) To determine the number of gallons of petrol needed to complete the journey, we can calculate the total distance that can be covered with the available petrol and then subtract it from the total distance of the journey.
Given that the car consumes 1 gallon of petrol for every 30 km, we can calculate the distance that can be covered with 10 gallons of petrol by multiplying 10 (gallons) by 30 (km/gallon):
Distance covered with 10 gallons = 10 * 30 = 300 km
To find the remaining distance that needs to be covered, we subtract the distance covered with the available petrol from the total distance of the journey:
Remaining distance = Total distance - Distance covered with available petrol
Remaining distance = 420 km - 300 km = 120 km
Since the car consumes 1 gallon of petrol for every 30 km, we can determine the additional gallons of petrol needed by dividing the remaining distance by 30:
Additional gallons needed = Remaining distance / 30 = 120 km / 30 km/gallon = 4 gallons
Therefore, the driver will need 4 more gallons of petrol to complete the journey.
ii) To calculate the cost of the petrol for the journey of 420 km, we need to multiply the total number of gallons used for the journey by the cost per gallon.
Given that a gallon of petrol costs GH¢5.50, and the total number of gallons used for the journey is 10 (given in the problem), we can calculate the cost using the formula:
Cost of petrol = Total gallons used * Cost per gallon
Cost of petrol = 10 gallons * GH¢5.50/gallon = GH¢55.00
Therefore, the cost of the petrol for the journey of 420 km is GH¢55.00.
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which of the following is a polynomial
Answer: the answer is C
Step-by-step explanation:
4) What is the perimeter of a square that has an area of 262.44 feet?
Answer:
64.8 ft
Step-by-step explanation:
A square has all its sides equal
Therefore to get one side from its area is simply finding the square root of its area
√262.44=16.2ft
Having the one side then perimeter= to the four equal sides × the dimensions of one side
=4×16.2
=64.8 ft
What is the common difference in the following arithmetic sequence?
Answer:
There's nothing there.
yasmine is playing a true false geography game. She has answered 15 of her 20 questions correctly. What is the probability that she will answer the five remaining questions correctly
Answer:
1/32
Step-by-step explanation:
Assuming that each question is independent, the probability of Yasmine answering a question correctly is 1/2, since each question has two possible answers (true or false) and she has a 50/50 chance of guessing correctly. Therefore, the probability of her answering all five remaining questions correctly is:
(1/2)^5 = 1/32
So the probability of Yasmine answering the five remaining questions correctly is 1/32, or approximately 0.03125, or about 3.125%.
Answer:
100%
Step-by-step explanation:
We know
She has answered 15 of her 20 questions correctly.
What is the probability that she will answer the five remaining questions correctly?
We take
15/15 = 100%
So, 100% she will answer the five remaining questions correctly.
Plz Help!!!! The trapezoid has an area of 150 and a height of 25. What would the bases measure? Using 1/2 x (B1+B2) x h
Answer
both are 6 I think
How to determine open interval on which the function is increasing?
Answer:
To find when a function is increasing, you must first take the derivative, then set it equal to 0, and then find between which zero values the function is positive. Now test values on all sides of these to find when the function is positive, and therefore increasing.
The sum of an infinite geometric sequence is seven times the value of its first term.
a) Find the common ratio of the sequence.
b) Find the least number of terms of the sequence that must be added in order for the sum to exceed half the value of
the infinite sum.
Answer:
a). r = \(\frac{6}{7}\)
b). At least 5 terms should be added.
Step-by-step explanation:
Formula representing sum of infinite geometric sequence is,
\(S_{\inf}=\frac{a}{1-r}\)
Where a = first term of the sequence
r = common ratio
a). If the sum is seven times the value of its first term.
\(7a=\frac{a}{1-r}\)
\(7=\frac{1}{1-r}\)
7(1 - r) = 1
7 - 7r = 1
7r = 7 - 1
7r = 6
r = \(\frac{6}{7}\)
b). Since sum of n terms of the geometric sequence is given by,
\(S_{n}=\frac{a(1-r^{n})}{1-r}\)
If the sum of n terms of this sequence is more than half the value of the infinite sum.
\(\frac{a[1-(\frac{6}{7})^{n}]}{1-\frac{6}{7}}\) > \(\frac{7a}{2}\)
\(\frac{1-(\frac{6}{7})^{n}}{1-\frac{6}{7}}> \frac{7}{2}\)
\(\frac{1-(\frac{6}{7})^{n}}{\frac{1}{7}}> \frac{7}{2}\)
\(1-(\frac{6}{7})^{n}> \frac{7}{2}\times \frac{1}{7}\)
\(1-(\frac{6}{7})^{n}> \frac{1}{2}\)
\(-(\frac{6}{7})^{n}> -\frac{1}{2}\)
\((\frac{6}{7})^{n}< \frac{1}{2}\)
\((0.85714)^{n}< (0.5)\)
n[log(0.85714)] < log(0.5)
-n(0.06695) < -0.30102
n > \(\frac{0.30102}{0.06695}\)
n > 4.496
n > 4.5
Therefore, at least 5 terms of the sequence should be added.
Marc is dividing 391 by 9.2. He rewrote the divisor as 92. How does Marc have to rewrite the dividend?
Write it in the box.
Answer:
3190
Step-by-step explanation:
becuase 391/9.2 = 3910/92
In which pair do both decimals represent rational numbers?
O A. 2.71828182845904523536... and 0.1222
O B. 3.141592653589793238... and 0.684
O C. 3.141592653589793238... and 0.1222...
O D. 0.684 and 0.1222...
Answer:
A
Step-by-step explanation:
A-P-E-X
0.684 and 0.1222... both decimals represent rational numbers.
What are rational numbers?A rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero.
0.684 is a terminating number, thus rational.
0.1222... is a non terminating repeating decimal, thus rational.
2.71828182845904523536... and 3.141592653589793238... are non terminating, non repeating decimals, thus irrational.
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suppose that as a follow up question you asked all the students who were graduating with stem degrees if they planned on working in academia. out of the 95 students graduating with stem degrees, 9 report they plan on working in academia. build a 95% confidence interval for the true percentage of students graduating with stem degrees that plan on working in academia. make sure to interpret your interval and check any necessary conditions. (hint: make sure to use an appropriate method to do this)
The sample size must be more than 30 and the sample must be chosen at random for this confidence interval to hold true. The sample size in this example is 95, and the students were chosen at random, thus both of these requirements are satisfied.
How do percentages work?Calculating a percentage involves dividing an item by its sum and multiplying the result by 100. (Value/Total Value)100% is the formula for calculating percentages.
How do you find the percentage?We must divide the value by the entire value to find the percentage, and then multiply the resulting number by 100.
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Despegue desde la Tierra Un cohete despega desde la superficie terrestre con una aceleración constante de 20 m/seg. ¿Qué tan rápi- do irá el cohete 1 minuto después?
Veremos que la velocidad un minuto despues es 1,200 m/s.
¿Como encontrar la velocidad del cohete?
Sabemos que la aceleración del cohete es constante, y es de 20 m/seg^2 (asumimos que el cohete tiene esta aceleración teniendo en cuenta la aceleración gravitatoria, es decir, 20m/seg^2 es la aceleración neta).
a(t) = 20m/seg^2.
Para obtener la velocidad, integramos la cantidad de arriba:
v(t) = (20 m/seg^2)*t + V
Donde V es la velocidad inicial del cohete, que sabemos es igual a cero.
v(t) = (20 m/seg^2)*t.
Con esta ecuación, podemos ver que la velocidad un minuto despues será:
v(60s) = (20 m/seg^2)*60s = 1,200 m/s.
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make e the subject
e-5=2f
Answer:
e-5=2f
take '-5' to the other side where '2f' is
e=2f+5
if f(6)=7 what is f(-2)
Answer:
1 is correct answer or not please reply me
how can you find the area and perimeter?
After answering the presented questiοn, we can cοnclude that The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape
What is equatiοn?An equatiοn in mathematics is a statement that states the equality οf twο expressiοns. An equatiοn is made up οf twο sides that are separated by an algebraic equatiοn (=). Fοr example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpοse οf equatiοn sοlving is tο determine the value οr values οf the variable(s) that will allοw the equatiοn tο be true.
The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape. Here are sοme cοmmοn fοrmulas:
1. Rectangle:
• Area: A = length x width
• Perimeter: P = 2(length + width)
2. Square:
• Area: A = side x side (οr A = side²)
• Perimeter: P = 4 x side
3. Circle:
• Area: A = π x radius²
• Circumference (perimeter): C = 2π x radius (οr C = π x diameter)
4. Triangle:
• Area: A = (base x height) / 2
• Perimeter: P = side1 + side2 + side3
5. Trapezοid:
• Area: A = ((base1 + base2) x height) / 2
• Perimeter: P = side1 + side2 + side3 + side4
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Which rational number equals 0 point 4 with bar over 4?
==============================================
Work Shown:
\(x = 0.\overline{4}\\\\x = 0.4444\ldots\\\\10x = 4.4444\ldots\\\\10x-x = 4.4444\ldots-0.4444\ldots\\\\9x = 4\\\\x = \frac{4}{9}\\\\\frac{4}{9} = 0.\overline{4}= 0.4444\ldots\\\\\)
The idea is that when we subtract 10x and x, the infinite decimal pattern (the 4s that go on forever) will cancel. That leads to 9x = 4 which solves to x = 4/9
Elena fills 5 small jars with homemade jams to share with her friends. Each jar can fit cup of jam. How many cups of jam are in the jars?
Answer:
5 cups
Step-by-step explanation:
1 cup/jar x 5 jars is 5 cups
x+4y=z=-7
2xy + 2z = 15
-3x+y=3z = -22
Answer:
x-4303
Step-by-step explanation:
Question 3 (1 point)
Julie drives by a stop light near her home once every morning. The stop light has red,
yellow and green lights. She wants to know the probability of the light being red on
two mornings.
Which list represents the sample space for two mornings at the stop light?
O {red, yellow, green}
O {red/red,red/yellow,red/green}
O {red/yellow, red/green, yellow/green, yellow/red,green/yellow, green/red}
{red/red,red/yellow,red/green,yellow/red,yellow/yellow,yellow/green,green/red,green/yellow,green/green}
The sample space for the two mornings at the stop light would be D. {red/red, red/yellow, red/green, yellow/red, yellow/yellow, yellow/green, green/red, green/yellow, green/green}.
How to find the sample space ?In probability theory, the sample space constitutes the collection of all potential results that could ensue from an experiment. Symbolized by S, it encompasses every plausible outcome that can arise when such a test is conducted.
The sample space would therefore be :
{red/red, red/yellow, red/green, yellow/red, yellow/yellow, yellow/green, green/red, green/yellow, green/green}
This includes all the possible lights that could be seen on the two mornings by Julie.
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what is the difference between ANOVA and Z-test Hypothesis
The difference between ANOVA and Z-test Hypothesis is the Z-test is employed to contrast the averages of single or dual populations, whereas ANOVA is utilized for assessing the means across three or more clusters.
How to determine the differenceThe Z-test becomes possible in the comparison of the mean of a sample to that of the population. It evaluates if there is statistical relevance in the difference between the mean of a sample and the mean of the whole population
In contrast, ANOVA is employed to contrast the averages of three or more separate groups. This assesses if there is a noteworthy distinction in the averages of said groups. The F-statistic in ANOVA is computed by assessing the disparity in variability between groups and the variability within groups.
In a nutshell, the Z-test is employed to contrast the averages of single or dual populations, whereas ANOVA is utilized for assessing the means across three or more clusters.
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If 5(x-6y) = 50y,what is the value of x in terms of y? PLS EXPLAIn
E. 16y
F. 15y
G. 11 2/5y
H.11y
EXPLAIN CORRECT ANSWER AND EXPLANATION GETS BRAINIEST
Answer:
E. 16y
Step-by-step explanation:
Given equation:
5(x - 6y) = 50y
Expand the brackets using
Distributive Property for subtraction: a(b - c) = ab - ac
⇒ 5 · x - 5 · 6y = 50y
⇒ 5x - 30y = 50y
Add 30y to both sides:
⇒ 5x - 30y + 30y = 50y + 30y
⇒ 5x = 80y
Divide both sides by 5:
⇒ 5x ÷ 5 = 80y ÷ 5
⇒ x = 16y
Venus is about 108 kilometers from the Sun. Saturn is about 109 kilometers from the Sun. About how many times farther from the Sun is Saturn than Venus? a)1072 b)1017 c)10 d)1
Answer:
1017.
Step-by-step explanation:
Venus is 108.11 million miles away from the sun, and Saturn is about 109 billion. Using a calculator, I tried each of the answers until I found the correct one. Hope this helped!
As part of a survey, 2400 people were asked to name their favorite sport to watch. The table below summarizes their answers. This information is also presented
as a circle graph.
Find the central angle measure, x, for the Baseball slice in the circle graph. Do not round.
Sport
Football
Soccer
Baseball
Basketball
Hockey
Other
Percentage
of People
29%
9%
14%
8%
8%
Soccer
Baseball
Basketball
Football
Other
Hockey
The central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.
Given that, a survey was conducted in which 2400 people were asked to name their favorite sport to watch and the table below shows their answers: Sport percentage of people are:
Football 29%
Soccer 9%
Baseball 14%
Basketball 8%
Hockey 8%
Other 32%
We need to find the central angle measure, x, for the Baseball slice in the circle graph.
For this, we need to use the formula that gives the central angle measure in degrees for a sector of a circle:
Central angle measure = (Percentage/100) × 360°
Now, using the above formula, we can calculate the central angle measure for each sport as shown below:
Football: (29/100) × 360° = 104.4°
Soccer: (9/100) × 360° = 32.4°
Baseball: (14/100) × 360° = 50.4°
Basketball: (8/100) × 360° = 28.8°
Hockey: (8/100) × 360° = 28.8°
Other: (32/100) × 360° = 115.2°
The sum of all central angle measures should be 360°, which is the measure of a full circle.
So we can check if the calculations are correct: 104.4° + 32.4° + 50.4° + 28.8° + 28.8° + 115.2° = 360°
We see that the sum is indeed 360°, so the calculations are correct. The central angle measure for the Baseball slice is 50.4°.
Therefore, the central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.
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15 x 3 x 3 =
and i need to show work
Step-by-step explanation:
15×3×3=135
hope it helps you
LUCILLES PENCIL POUCH WOULD HOLD 3/8
OF THE 48 PENCILS THAT SHE PURCHASED AT
THE BEGINNING OF THE NEW SCHOOL YEAR.
HOW MANY PENCILS WILL FIT IN HER POUCH. will give brainlist
Answer:
18
Step-by-step explanation:
You would divide 48 by 8 and multiply it by 3. Otherwise, you could do
3/8 = x/48
x * 8 = 3 * 48
x * 8 = 144
/8 /8
x = 18
the digit 1 in which number represents a value of 0.1
a) 6.513
b) 0.18
c)201
The place value of a digit in a given number can be in either unit, tens, hundred, thousand, hundred of thousand etc. Therefore the required answer is option B. 0.18.
What is the place value of a digit?The place value of a digit is its position in a given number. These could either be as unit, tens, hundred, thousands, ten thousands etc.
This can now be stated as required. This knowledge is required when round off a given decimal number to either a required number of significant figure or decimal places.
So that considering the given question, the place value of 1 in the given number 0.1 is tenths. Therefore, the place value of digit 1 that would make it to have a value of 0.1 is the number 0.18. Thus option B.
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How much energy is stored in a spring with an elastic constant of 1000N/m when it is compressed 10cm?
Answer:
The work done to stretch or compress the spring is stored in the spring as elastic potential energy. The elastic potential energy of a spring is one half the product of its spring constant multiplied by the square of its deformation.
Step-by-step explanation:
0.05 Joule energy is stored in a spring with an elastic constant of 1000N/m when it is compressed 10cm.
What is energy stored in the spring?Elastic potential energy is stored in the spring as a result of the work required to stretch or compress it. A spring's elastic potential energy is equal to one-half the sum of its spring constant times its deformation squared.
It is given that, a spring with an elastic constant of 1000N/m is compressed 10cm.
The energy stored in the spring is,
E= 1/2Kx²
Where E is the energy stored, K is the spring constant and x is the spring compression.
Substitute the given value as
E = 1/2(1000)(0.01)²
E= 0.05 J
Thus, 0.05 Joule energy is stored in a spring with an elastic constant of 1000N/m when it is compressed 10cm.
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Write out the first five terms of the sequence.
an = n - 5
Answer:
its A
Step-by-step explanation:
took the quiz
The expression (y to the power of 20)(y to the power of −5)2 is equivalent to yn. What is the value of n?
200
10
-200
30
Answer: 10
Step-by-step explanation: hope this helps
A 2-gallon container of laundry detergent costs $27.76. What is the price per quart?
The price of the cost per quart of laundry detergent is A = $ 3.47
Given data ,
Let the unit cost rate be A
Now , There are 4 quarts in a gallon, so a 2-gallon container contains 8 quarts.
To find the price per quart, we can divide the total cost by the number of quarts:
Price per quart = Total cost / Number of quarts
Price per quart = $27.76 / 8 = $3.47
Hence , the price per quart of laundry detergent is $ 3.47
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