600 élèves :
On sait que 7/30+1/6 ne font pas partie des 400 élèves qui possèdent téléphone portable et ordinateur . 7/30+1/6=12/30=2/5 mais parmi ces élèves figurent ceux qui n'ont ni l'un, ni l'autre. Ils font donc partie des 2/5 qui viennent d'être dénombrés
Il faut donc les retrancher, sinon ils seraient comptés deux fois
donc le nombre n'ayant ni l'un ni l'autre est : 2/5-1/15=5/15=1/3
Par conséquent 2/3 ont unt téléphone et un ordinateur
Comme ces 2/3 correspondent à 400 élèves, le nombre total d'élèves interrogés sera donc de 400*3/2=600 élèves.
2 of the walls are 11 and 11, there's 3 more walls to find. Break the room into rectangles and then do Base × height then add both rectangles together and get the sum:
What's the area and the perimeter in sqaure feet?
The area and the perimeter of the room having rectangular shaped base are respectively, 121 feet² & 44 feet
What is the area & perimeter?An area is total space occupied by two-dimensional or flat surfaces. In other words we can say that it is a number of unit squares present in a closed figure. We use various units for measurement of area like, cm², m², ft², mm².
Perimeter is a mathematical term, which means total outer boundary of a figure, we define it only for two dimensional figures.
Perimeter = Sum of length of the all the sides
Given that,
2 of the walls are 11 and 11,
The room is into rectangle shape,
Base area of room = length x width
= 11 x 11
= 121 feet²
Perimeter of base of the room = Sum of lengths and widths
= 11 + 11 + 11 + 11
= 44 feet
Hence, the area and perimeter are respectively 121 feet² & 44 feet
To learn more about Area check:
https://brainly.com/question/16151549
#SPJ1
In investing $5,750 of a couple's money, a financial planner put some of it into a savings account paying 2% annual simple interest. The rest was invested in a riskier mini-mall development plan paying 12% annual simple interest. The combined interest earned for the first year was $475. How much money was invested at each rate?
The financial planner invested $4,737.50 in the mini-mall development plan and $1,012.50 in the savings account.
The amount invested in the savings account is equal to the total amount invested minus the amount invested in the mini-mall development plan. We can express this as an equation:
Total Investment - Investment in Mini-Mall Development Plan = Investment in Savings Account
Substituting the values given in the problem, we get:
$5,750 - Investment in Mini-Mall Development Plan = Investment in Savings Account
To solve for the Investment in Mini-Mall Development Plan, we need to use the combined interest earned for the first year. We can express this as an equation:
Interest Earned = (Investment in Savings Account x Interest Rate) + (Investment in Mini-Mall Development Plan x Interest Rate)
Substituting the values given in the problem, we get:
$475 = (Investment in Savings Account x 0.02) + (Investment in Mini-Mall Development Plan x 0.12)
Solving for Investment in Mini-Mall Development Plan, we get:
Investment in Mini-Mall Development Plan = ($475 - (Investment in Savings Account x 0.02))/0.12
Substituting the values given in the problem, we get:
Investment in Mini-Mall Development Plan = ($475 - ($5,750 - Investment in Mini-Mall Development Plan x 0.02))/0.12
Solving for Investment in Mini-Mall Development Plan, we get:
Investment in Mini-Mall Development Plan = $4,737.50
Therefore, the financial planner invested $4,737.50 in the mini-mall development plan and $1,012.50 in the savings account.
Learn more about savings account here:
https://brainly.com/question/9279115
#SPJ4
can someone please help me(15 points will give brainliest!!!)
Answer:
a ) $11.5
b.) 10 million gallons
Step-by-step explanation:
a.) Since it's asking for p if x = 20, we can plug 20 into the original equation
[tex]0.2(20) + 4p = 50[/tex]
0.2 times 20 is 4
4 + 4p = 50. Next we would subtract 4 from each side giving us
4p = 46. Lastly, divide each side by 4
p = 11.5
b.) If the p, also known as p increases by 50 cents, that means it goes from 11.5 to 12.
Now we plug in 12 to p and look for x, the opposite
[tex]0.2x + 4(12) = 50[/tex]
4 times 12 is 48, making it
0.2x + 48 = 50. This is where we subtract 48
0.2x = 2. and lastly, divide by 0.2, making...
x = 10
So demand decreased by 10 million because 20-10=10
Work out the percentage change when a price of £80 is increased to £100.
pls show simple working out :)
Answer:
25% increase
Step-by-step explanation:
Percentage increase = [tex]\frac{100-80}{80} * 100=\frac{20}{80} * 100 = 25%[/tex]
August electro billThe local utility company released a report showing the August electric bills of their customers. This box-and-whisker plot shows the results
The maximum value of the August electric bills of used by customers using the box and whisker plot is equal to $320 .
In box and whisker plot , Data is plotted in as it is divided into :
Five number summary set of data ,
Minimum value ,Maximum value, First Quartile, Third Quartile , Median.
Data of August electric bills ($) as per given data is:
200 240 160 280 320
Minimum value = $160
Maximum value = $320
First quartile = $200
Third Quartile = $280
Median = $240
Therefore, the maximum value of the August electric bills shown as box and whisker plot is $320.
Learn more about maximum value here:
brainly.com/question/14316282
#SPJ4
_____The above question is incomplete ,the complete question is:
The local utility company released a report showing the August electric bills of their customers. This box-and-whisker plot shows the results.
200 240 160 280 320
August electric bills ($) What is the maximum value?
What is the slope of the intercept equation for the line below
The equation of line m passing through the points (0, 0) and (1, 6) is y = 6x
What is an equation?An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either be linear, quadratic, cubic, depending of the degree of the variable.
The slope intercept form of a linear equation is:
y = mx + b
Where m is the rate of change and b is the y intercept.
Line M goes through the points (0, 0) and (1, 6). Hence:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\substituting:\\\\y-0=\frac{6-0}{1-0} (x-0)\\\\y=6x[/tex]
The equation of line m is y = 6x
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Find the sum of the squares of the solutions of $x^2-13x+4=0$.
The sum of the squares of the solutions of the mentioned equation is 161.38.
The solution of the given quadratic equations can be calculated through factorization. So, rewriting the equation to factorize it.
x² - 13x + 4 = 0
Based on Dharacharya formula, stated as -
x = - b ± ✓b² - 4ac/ 2a, we get the roots -
x = 12.7 and 0.3
Now, the next formula to solve will be -
x = 12.7² + 0.3²
Taking the square of each number
x = 161.29 + 0.09
Performing addition on Right Hand Side of the equation
x = 161.38
Thus, the required answer is161.38.
Learn more about quadratic equation -
https://brainly.com/question/1214333
#SPJ4
1) Given: AD // BC, AB // CD
Prove: DBC =~ BDA
(Use any proof method of your choice)
Since the angles in DBC and BDA are equal, we have:
DBC ≅ BDA
What is the Angle-Angle Similarity Theorem?
The Angle-Angle Similarity Theorem, also known as the AA Similarity Theorem, states that if two angles of one triangle are equal to two angles of another triangle, then the two triangles are similar.
Given: AD // BC, AB // CD
To prove: DBC =~ BDA
From the given, we have AD // BC and AB // CD.
This means that AD is parallel to BC and AB is parallel to CD.
Since AB is parallel to CD, corresponding angles are equal.
Let the angle BCD = x.
Then, angle BAD = x.
Since AD // BC, corresponding angles are equal.
Let the angle DCB = y.
Then, angle DAC = y.
Now, we can see that angle BDA + angle DAC = y + x.
And angle DBC + angle DCB = y + x.
Since the sum of the angles in a triangle is 180 degrees,
angle BDA + angle DAC + angle DBC = 180.
So, y + x + y + x = 180.
Therefore, 2y + 2x = 180.
And, y + x = 90.
Since the angles in DBC and BDA are equal, we have:
DBC =~ BDA
To learn more about Angle-Angle Similarity Theorem, Visit
https://brainly.com/question/21247688
#SPJ1
the mean number of patients admitted per day to the emergency room of a small hospital is 2.5 . if, on any given day, there are only 1 beds available for new patients, what is the probability that the hospital will not have enough beds to accommodate its newly admitted patients?
This can be modeled as a Poisson distribution. The mean number of patients admitted per day is 2.5, so the Poisson parameter λ = 2.5. The probability that the hospital will not have enough beds on any given day is the probability that more than 1 patients will be admitted, which is given by:
P(X > 1) = 1 - P(X <= 1)
= 1 - (P(X = 0) + P(X = 1))
= 1 - (e^-2.5 * 0 + e^-2.5 / 1!)
= 1 - e^-2.5 * (1 + 2.5)
This is the probability that the hospital will not have enough beds to accommodate its newly admitted patients on any given day.
To know more about Probability
https://brainly.com/question/13604758
#SPJ4
What is the measure of DG?
40 POINTS
A linear relationship is given in the table.
x y
6 7
4 5
0 1
−2 −1
What is the slope of the relationship?
3
2
1
−1
Answer:
1
Step-by-step explanation:
To find slope, m, we use the formula
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
The top Y on the table is 7 and the bottom one is -1, so we'll plug those into the top.
The top X on the table is 6 and the bottom one is -2, so we'll plug those into the bottom
[tex]m = \frac{7 - ( - 1)}{6 - ( - 2)} [/tex]
[tex]m = \frac{8}{8} = 1[/tex]
Neha is developing multiple neighborhoods. The following data points represent the number of new homes that
will be built in each neighborhood.
Sort the data from least to greatest.
5
12
13
20
26
29
30
31
Find the median number of houses.
From the given data points representing the number of new homes that built in each neighborhood. The median number of houses is 26.
The median is the middle value of a set of numerical data when the data is arranged in ascending or descending order. In a set of odd number of data points, the median is the middle value. In a set of even number of data points, the median is the average of the two middle values.
To find the median, you arrange the numbers in order from least to greatest and then pick the middle number(s).
5, 12, 13, 20, 26, 29, 30, 31
In this case, there are 8 numbers, so the median is the middle number, which is 26.
To know more on median
https://brainly.com/question/28060453
#SPJ4
What is a written description of x − 14? 14 less a number A number less than 14 A number greater than 14 The sum of 14 and a number
The written description of the given expression would be 14 less a number. That is option A.
What is less than (<)?Less than which is represented by the symbol such as < is used in arithmetics to show that a given value is less than the value of which it is being compared to.
The given expression = X - 14. Where X is the unknown number which is compared with 14.
Therefore, according to the expression, 14 less than a number is the same as X - 14.
Learn more about subtraction here:
https://brainly.com/question/28467694
#SPJ1
please solve. will give brainliest.
use the model to calculate 3/8x2/6. a. 16/18 b. 13/24 c. 6/48 d. 5/48
Answer:
C. 6/48
Step-by-step explanation:
mutliply both numerator and denominator
Triangle ABC has the coordinates below:
A (-2,-1) B (0,3) C (1,1)
Dilate this triangle with k= 3
The coordinates of triangle ABC after dilation are; (-6, -3), (0, 9) and (3, 3)
What is dilation?Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.
Given that, a triangle ABC with coordinates, A (-2, -1) B (0, 3) C (1, 1)
This triangle is dilated by a scale factor of 3,
SInce, the scale factor is greater than 3, therefore, dilation shows an enlargement.
The rule of dilation is given by;
(x, y) → (kx, ky), where k is dilation factor.
Let triangle ABC is dilated to form triangle A'B'C'
Therefore, the coordinates of triangle A'B'C' are;
A' = 3(-2, -1) = (-6, -3)
B' = 3(0, 3) = (0, 9)
C' = 3(1, 1) = (3, 3)
The graph is attached.
Hence, the coordinates of triangle ABC after dilation are; (-6, -3), (0, 9) and (3, 3)
Learn more about dilation, click;
https://brainly.com/question/14976170
#SPJ1
eso 2 Challenge At a party, the amount of people who ate lasagna was 12 less than of the total number of people. The number of people who ate lasagna w 3 number of people at the party. Let x represent the number of people at the party. Use pencil and paper. Write a one-step equation that has the same soluti Write an equation that represents the number of people at the party. 2/3 -X - 12 = 16 There were people at the party. Help me solve this View an example 1 H Get more help - √I Vi (4,1) More C
There were 75 total number of persons present at the party
What is an equation?An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either be linear, quadratic, cubic, depending of the degree of the variable.
The amount of people who ate lasagna was 12 less than 3/5 of the total number of people.
Let x represent the total number of people at the party.
The number of people that ate lasagna = (3/5)x - 12
The number of people who ate lasagna were 33. Hence:
The number of people that ate lasagna = 33
Therefore the equation is:
33 = (3/5)x - 12
(3/5)x = 45
x = 75
The total number of people is 75
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
derek owns a snack shop where he sells tins of buttered and caramel popcorn. The table shows the number of each type of popcorn sold over w weeks. Popcorn Sales Popcorn Cost ($) Number Sold Over w Weeks Buttered 11 8w+9 Caramel 11 6w−1
Based on the information provided, Derek will have made $480 more in buttered popcorn than in caramel popcorn.
How much money will Derek make after 12 weeks?To calculate his earnings with popcorn, let's use the expression given for each type of popcorn:
Buttered popcorn:
8w+9
8 x 12 + 9
96 + 9 =105
105 x 11 = $1155 (Total earnings for buttered popcorn)
Caramel popcorn:
6w-11
6 x 12 - 11
72 - 11 = 61
61 x 11 = $671 (Total earnings for caramel popcorn)
Now, let's calculate the difference:
$1155 - $671 =$480
Learn more about earnings in https://brainly.com/question/21219294
#SPJ1
The length of the yarn is less than 7.5 inches.
Answer:
that means it's a short yam
The length of the yarn is n < 7.5 inches.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
The length of the yarn is less than 7.5 inches.
Let the length of the yarn is n inches.
To show the length of the yarn:
We will establish an inequality.
So,
n < 7.5 inches.
Therefore, n < 7.5 is the inequality.
To learn more about the inequality;
brainly.com/question/28823603
what is 11>s shown on a graph?
Note that 11 > S or S < 11 is given in the in the Line Graph attached. The above simply means that 11 as a quantity is greater that the factore represented by "s".
What is a Line Graph?A line graph is a graphical depiction of changing information over time. It is a diagram created by connecting points with line segments.
Line graphs may be used to demonstrate how something evolves over time.
Line graphs are useful for displaying data that has peaks (ups) and troughs (downs) or was gathered in a short period of time. The pages that follow discuss the various components of a line graph.
Learn more about Line Graph:
https://brainly.com/question/23680294
#SPJ1
If x-y=9 is a true equation, what would be the value of 5+x−y?
Answer:
If x-y=9 is a true equation, we can substitute this equation into 5+x−y to find its value.
5 + x - y
= 5 + x - (x - 9) (since x - y = 9)
= 5 + x - x + 9
= 5 + 9
= 14
So, the value of 5 + x - y would be 14 if x-y=9 is a true equation.
Transversal y passes through parallel lines p and s. What is the value of a?
The value of a is given as follows:
a = 12.
How to obtain the value of a?We have two parallel lines that are cut by a transversal, and the two angles are between the parallel lines and on the same side of the transversal, meaning that they are consecutive interior angles.
Consecutive interior angles are supplementary, meaning that the sum of their measures is of 180º, hence the value of a can be found as follows:
10a + 2 + 5a - 2 = 180
15a = 180
a = 180/15
a = 12.
More can be learned about angle measures at https://brainly.com/question/24607467
#SPJ1
Answer: a = 12.
Step-by-step explanation: did the same question got it right
HELPP
can you tell me
Answer: 4a = D; 4b = B
Step-by-step explanation:
Which is greater than 64 to the ⅓ power?
A. 2²
B. 64½
C. 64¹/⁶ that's one over six
D. 64³ the 3 is a negative exponent
Answer:
Step-by-step explanation:
B. 64^(1/2) is greater than 64^(1/3).
MARKING BRAINLIEST!! please help, show your work first then choose the answer
The length of ED is, 3√10
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
In a figure,
⇒ PB = BC = 6
Now, By the figure,
⇒ ΔFPD and ΔEMD are congruent.
Hence, We can formulate;
⇒ FP / EM = PD / MD
Let the length of MD = x
⇒ FP / EM = PD / MD
⇒ 6 / 3 = (9 + x) / x
⇒ 2x = 9 + x
⇒ 2x - x = 9
⇒ x = 9
Hence, The length of MD = 9
Now, In ΔEMD;
⇒ ED² = EM² + MD²
⇒ ED² = 3² + 9²
⇒ ED² = 9 + 81
⇒ ED² = 90
⇒ ED = √90
⇒ ED = 3√10
Learn more about the circle visit:
https://brainly.com/question/24810873
#SPJ1
A wheel of cheese has a radius of 7 inches and a height of 3 inches. What is the approximate surface area of this wheel of cheese? Use 3.14 for pi.
The approximate surface area of this wheel of cheese is 437.6 square inches.
As per the given data, a wheel of cheese has a radius of 7 inches.
Radius r = 7 inches.
Also, a wheel of cheese has a height of 3 inches.
Height h = 3 inches
Also, given to consider the value of pi as 3.14.
π = 3.14
Here we have to determine the total surface area (TSA)of the wheel of cheese.
Since the cheese is a cylinder shaped thing.
The formula for the total surface area (TSA) of the wheel:
TSA = 2πr (r + h)
Substituting the values of the variables into the formula, we have
= 2 (3.14)(7)(7 + 3)
= 2 (21.88)(10)
= 2 (218.8)
= 437.6 square inches.
Therefore the total surface area is 437.6 square inches.
For more questions on surface area
https://brainly.com/question/22716390
#SPJ4
The Sum of radius and hieght of cylinder is 21 cm and
total surface area of cylinder is 660 cm². find
hieght and
volume of cylinder.
Answer:
5 cm^2
Step-by-step explanation:
I just had this same question and I got it right.
hope this helps
She will travel to Cale town from Johannesburg during her trip .She estimates that the distance is approximately 500 miles between the cities .If 1mile = 1,609 km and the distance in km between Johannesburg and cape town is 810 km ,determine if she is correct
Yes she is correct, because 810 km is approximately 500 miles
What is distance?Distance is a numerical or occasionally qualitative measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.
The distance between Cale and Johannesburg is 810 km.
1 mile is converted as 1.609km
There 1km = 1/1.609 miles
810 km = 1/1.609 × 810
= 503.4 miles
If this value is approximated to the nearest hundred,then it will be
500 miles
learn more about distance from
https://brainly.com/question/26046491
#SPJ1
swer:
(0.0000009)³ (9 × 104)²/
(3, 000, 000)² (0.00243)
Answer:
The answer is 3.2 x 10-21.
Step-by-step explanation:
To solve this problem, we need to use the rules of exponents. The first step is to calculate the exponents for each number.
For 9 × 104, the exponent is 3 (9 × 104 = 90000).
For 3,000,000, the exponent is 2 (3,000,000 = 3000000).
For 0.00243, the exponent is -3 (0.00243 = 0.00000243).
Now, we can calculate the answer by multiplying the exponents:
3 × 2 × (-3) = -6
Then, we need to multiply the numbers together to get the final answer:
(9 × 104)² × (3,000,000)² × (0.00243) = 9 x 10-6 x 9 x 10-12 x 0.00243 = 3.2 x 10-21.
how many inches of snow fall at this rate?
The inches of snow that fall at this rate is 8 inches
How many inches of snow fall at this rate?From the question, we have the following parameters that can be used in our computation:
10 inches of snow fall for 1 1/4 hour
Ths means that the unit rate is
Unit rate = 10 inches/1 1/4 hour
Evaluate the quotint
Unit rate = 8 inches per hour
For one hour, we have
Snow = 8 * 1
Evaluate
Snow = 8
Hence, the amount is 8 inches
Read more about unit rate at
https://brainly.com/question/19493296
#SPJ1