La base de una cartulina rectangular mide 8 cm de altura si le recortamos 3 cm a su altura el area de la nueva cartulina seria 126 cm calcula las dimenciones de la cartulina inicial
Answer:
[tex]w=8cm\\h=18.75cm[/tex]
Step-by-step explanation:
Let:
[tex]w=Width\\h=Initial\hspace{3}height\\h_m=Modified\hspace{3}height\\\\Where:\\\\h_m=h-3[/tex]
The area of the cardboard can be calculated using the formula to find the area of a rectangle:
[tex]A=w*h[/tex]
The area of the new cardboard would be:
[tex]A=w*h_m\\\\Where:\\\\w=8\\h_m=h-3\\A=126[/tex]
So:
[tex]126=8*(h-3)\\\\126=8h-24[/tex]
Solving for h:
[tex]126+24=8h\\\\150=8h\\\\h=\frac{150}{8} =\frac{75}{4} =18.75cm[/tex]
Therefore, the dimensions of the initial cardboard are:
[tex]w=8cm\\h=18.75cm[/tex]
Translation:
Sea:
[tex]w=Ancho\\h=Altura\hspace{3}inicial\\h_m=Altura\hspace{3}modificada\\\\Donde:\\\\h_m=h-3[/tex]
El área de la cartulina se puede calcular usando la fórmula para encontrar el área de un rectángulo:
[tex]A=w*h[/tex]
El área de la nueva cartulina sería:
[tex]A=w*h_m\\\\Donde:\\\\w=8\\h_m=h-3\\A=126[/tex]
Entonces:
[tex]126=8*(h-3)\\\\126=8h-24[/tex]
Resolviendo para h:
[tex]126+24=8h\\\\150=8h\\\\h=\frac{150}{8} =\frac{75}{4} =18.75cm[/tex]
Por lo tanto, las dimensiones de la cartulina inicial son:
[tex]w=8cm\\h=18.75cm[/tex]
In a random survey of 226 college students, 20% reported being "only" children (no siblings). The standard deviation is 2%.
Determine the confidence interval that is likely to contain the percent of all students nationwide who are only children.
Answer:
The confidence interval that is likely to contain the percent of all students nationwide who are only children is (0.1505,0.2554)
Step-by-step explanation:
Total number of students = n = 226
We are given that 20% reported being "only" children (no siblings).
Number of students being "only" children (no siblings) [tex]= 20\% \times 226=\frac{20}{100} \times 226=45.6\sim46[/tex]
So, x = 46
[tex]p=\frac{x}{n}=\frac{46}{226}=0.203[/tex]
Z at 95% is 1.96
Formula for confidence interval for sample proportion :
[tex]CI=p \pm Z \times \sqrt{\frac{p(1-p)}{n}}[/tex]
Substitute the values in the formula :
[tex]CI=0.203 \pm 1.96 \times \sqrt{\frac{0.203(1-0.203)}{226}}\\CI=(0.1505,0.2554)[/tex]
Hence the confidence interval that is likely to contain the percent of all students nationwide who are only children is (0.1505,0.2554)
There are already 1,600 gallons of water in a swimming pool. If water is filling the pool at a rate of 25 gallons per minute, which expression indicates the amount of water, in gallons, in the swimming pool after m minutes?
The expression that indicates the amount of water, in gallons, in the swimming pool after m minutes is 1600 + 25m.
What is an expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
In this case, there are already 1,600 gallons of water in a swimming pool and water is filling the pool at a rate of 25 gallons per minute.
Let m = number of minutes
The expression will be:
1600 + (25 × m)
1600 + 25m
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Solve 2y - 3 = 4y +6.
I
y=
Answer:
-9/2
Step-by-step explanation:
Begin by subtracting 2y from both sides
(2y - 2y) - 3 = (4y - 2y) + 6
-3 = 2y + 6
Then, subtract 6 from both sides
(-3 - 6) = 2y + (6 - 6)
-9 = 2y
Finally, divide by 2 on each side
(-9/2) = (2y/2)
y = -9/2
Make x the subject of Y=4x+3
The value of x from the expression is,
⇒ x = 1/4 (Y - 3)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The equation is,
⇒ Y = 4x + 3
Now, We can solve the expression for the value of x as;
⇒ Y = 4x + 3
Subtract 3, we get;
⇒ Y - 3 = 4x + 3 - 3
⇒ Y - 3 = 4x
Divide by 4;
⇒ (Y - 3) / 4= 4x/4
⇒ (Y - 3)/4 = x
⇒ x = 1/4 (Y - 3)
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Find the perimeter of a triangle with side lengths of
√80
√20, and √45
16:07:48
marks:
Question: 1/20
The graph of which equation would be a circle with a center at
(2.3) and a radius of 7 ?
A. (x + 2y = (y - 3) = 7
B. (x - 2) = (y + 3) = 7
C. (x - 2y + (y + 3)2 = 49
D. (x - 2) - (y - 3)2 = 49
OB
Whats the correct choice?
Answer:
A. ( x + 2y = ( y - 3 ) = 7
maaf kalo salah
Find the area of a circle with a diameter of 6.
Either enter an exact answer in terms of it or use 3.14 for I and enter your answer as a decimal.
units2
Answer:
A = 9pi
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
We know the diameter
r = d/2 = 6/2 = 3
A = pi (3)^2
A = 9pi
Answer:
[tex]28.26 \: \: {units}^{2} [/tex]
Step-by-step explanation:
[tex]area \\ = \pi {r}^{2} \\ = 3.14 \times 3 \times 3 \\ = 28.26 \: \: {units}^{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which equations could you solve using the addition property of equality? Check all that apply. 4 + y = 100 y – 4 = 100 4y = 100 4 + 100 = y 100 = y – 5
Answer:
y-4=100 and 100=y-5
Step-by-step explanation:
Because the addition property of equality is: The property stating that adding the same number to both sides of an equation does not change the equation.
Equations are used to represent equal expressions
The equivalent equation of y + 4 = 100 is 4 + y = 100
How to determine the equationsThe equation is given as:
y + 4 = 100
Rewrite the equation as follows:
4 + y = 100
Hence, the equivalent equation of y + 4 = 100 is 4 + y = 100
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What’s the error mica make?
Step-by-step explanation:
She should have added 2 to the 3, not 1 because on the right side, she added 1, but that was being multiplied by 2 so to balance the equation she should add 2 to the 3. Hope this helps!
Of the 650 students at westMoreland junior high ,80% will attend the field trip . How many students will attend the field trip ?
Answer:
520
Step-by-step explanation:multiply 650 by 80 amd then divide by 100
or simply multiply 650 by 0.8
520 number of students will attend the field trip.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that there are 650 students at westMoreland junior high.
80% of the students will attend the field trip.
We need to find the students will attend the field trip.
We need to find what is 80% of the 650.
firstly let us convert 80% to decimal by dividing 80 with 100.
80/100=0.8
Now multiply 0.8 with 650
0.8×650
Zero point eight × Six hundred fifty.
520
Hence, 520 number of students will attend the field trip.
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can i get help please?? Earth has a diameter of approximately 8,000 miles. If the circumference of a circle can be found using the formula C = πd, what is the circumference of Earth? (Use 3.14 for π) A. 2,512,000 miles B. 25,120 miles C. 1,256,000 miles D. 12,560 miles
Answer:
B
Step-by-step explanation:
Circumference is 3.14*d
Where d is the diameter.
3.14*8000
= 25120
The Earth has a circumference of 25120 miles approximately.
Answer:
B. 25,120 miles.
Step-by-step explanation:
Circumference = π * diameter
= 3.14 * 8000
= 25,120 miles.
Point A is the midpoint of side XZ and point B is the
midpoint of side YZ.
What is AX?
2 units
4 units
6 units
5x - 7
O 8 units
2x-2
X+1
B
A
Markandeur
Save and Exit
Et
Answer:
Option (2)
Step-by-step explanation:
Given question is incomplete; here is the complete question.
Point A is the midpoint of side XZ and point B is the midpoint of side YZ.
Triangle XYZ is cut by line segment AB. Point A is the midpoint of side XZ and point B is the midpoint of side YZ. The length of XY is (5x - 7), the length of AB is (x + 1), and the lengths of XA and ZA are (2x - 2). The lengths of YB and BZ are congruent.
What is AX ?
2 units
4 units
6 units
8 units
From the figure attached,
XYZ is a triangle having A and B as the midpoints of the sides XZ and YZ.
By the theorem of midpoints,
AB = [tex]\frac{1}{2}\text{(XY)}[/tex]
Since AB = (x + 1) and XY = (5x - 7)
(x + 1) = [tex]\frac{1}{2}(5x-7)[/tex]
2x + 2 = 5x - 7
5x - 2x = 2 + 7
3x = 9
x = 3
Therefore, side AB = 3 + 1 = 4 units
Side XY = (5x - 7)
= 15 - 7
= 8 units
Side XA = 2(x - 1)
= 4 units
Therefore, Option (2) will be the answer.
PLEASE HELP GIVING BRAINLIEST TO ONLY CORRECT ANSWER
Answer:
I think option 3 but not sure
Step-by-step explanation:
Theoretical probability is what we expect to happen, where experimental probability is what actually happens when we try it out. The probability is still calculated the same way, using the number of possible ways an outcome can occur divided by the total number of outcomes.
Which of the sequences is an arithmetic sequence?
I need help!!!!
the answer is (A) is arithmetic
Question of the day
Fill in the table of values below for the equation y=x+3
Х
у
Answer:
yuuurrrppp
Step-by-step explanation:
A square has a perimeter of 44cm. Calculate the area of the square.
The most relevant aka correct answer will get brainiest :)
Answer:
p = 44cm
perimeter of a square = 4l
44/4 = 11
area = l²
area = 11²
area = 121cm²
Step-by-step explanation:
A person invests 6500 dollars in a bank. The bank pays 7% interest compounded
quarterly. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 20100 dollars?
A= P(1 + -]nt
Answer:
t=16.2 years
Step-by-step explanation:
A=p(1+r/n)^nt
A=$20100
P=$6500
r=7%=0.07
n=4
t=?
t=ln(A/P)/n {ln(1+r/n)}
=ln(20100/6500) / 4{ln(1+0.07/4)}
=ln(3.0923)/4{ln(1+0.0175)}
=ln(3.0923)/4{ln(1.0175)}
=1.1289/4(0.0174)
=1.1289/0.0696
=16.23
To the nearest tenth
t=16.2 years
WILL MARK BRAINIEST ASAP PLEASE HELP!!!!!!!!!!!!!!11111 What is the coefficient of the c-term of the algebraic expression 14 a minus 72 r minus c minus 34 d? -34 -1 0 1
Answer:
The correct answer would be -1
Step-by-step explanation:
Answer:
-1 I believe
Step-by-step explanation:
Guillermo is a professional deep water free diver. His altitude (in meters relative to sea level), xxx seconds after diving, is modeled by g(x)=\dfrac{1}{20}x(x-100)g(x)= 20 1 x(x−100)g, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided by, 20, end fraction, x, left parenthesis, x, minus, 100, right parenthesis How many seconds after diving will Guillermo reach his lowest altitude?
Answer: 140
Step-by-step explanation:
Answer: 50
Step-by-step explanation:
Khan academy answer
Is 6.584 a rational
number?
Answer:
Step-by-step explanation:
To get rid of the decimal point in the numerator, we count the numbers after the decimal in 6.584, and multiply the numerator and denominator by 10 if it is 1 number, 100 if it is 2 numbers, 1000 if it is 3 numbers, and so on.
Therefore, in this case we multiply the numerator and denominator by 1000 to get the following fraction: 6584 / 1000
Then, we need to divide the numerator and denominator by the greatest common divisor (GCD) to simplify the fraction.
The GCD of 6584 and 1000 is 8. When we divide the numerator and denominator by 8, we get the following: 823 / 125
Therefore, 6.584 as a fraction is as follows: 823 / 125
There are 32 students in Mrs. Nyer's class. This is 8% of the students in the
school. How many students are in the school?
Which is a better statistical question A:how many points per game did your team score? B:how many games did your team play this year?
Answer:
A
Step-by-step explanation:
B would be just a number, but for A you need to connect data points and actually do some statistics.
(would really, reallly appreciate the brainliest)
Answer:
A - how many points per game did your team score?
Pls help me Is hard for me
Answer:
15
Step-by-step explanation:
3 yards in a ft, so 15 yards in 5 ft.
Answer:
15 feet.
Step-by-step explanation:
1 yard = 3 feet
5 yards = x feet
[tex]x=5 \times 3[/tex]
[tex]x=15[/tex]
Factor the given quadratic function x2 + 9x = 36.
Answer:
(x + 12)(x - 3)
Step-by-step explanation:
[tex] {x}^{2} + 9x = 36 \\ {x}^{2} + 9x - 36 = 0 \\ {x}^{2} + 12x - 3x - 36 = 0 \\ x(x + 12) - 3(x + 12) = 0 \\ (x + 12)(x - 3) = 0[/tex]
What is 3/4 + 1/5 equal to?
Answer:
[tex]19/20[/tex]
Step-by-step explanation:
[tex]3/4+1/5[/tex]
[tex]15/20 + 4/20[/tex]
[tex]19/20[/tex]
Answer:
[tex] = \frac{19}{20} [/tex]
Step-by-step explanation:
[tex] \frac{3}{4} + \frac{1}{5} \\ \frac{15 + 4}{20} \\ = \frac{19}{20} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
determine the slope of a line that passes through A(-4, 7) and B(6,3)
Answer:
-2/5
Step-by-step explanation:
The slope is found by
m= (y2-y1)/(x2-x1)
= (3-7)/(6 - -4)
= -4/(6+4)
- 4/(10)
= -2/5
Answer:
[tex]m=\frac{-2}{5}[/tex]
Step-by-step explanation:
Use the formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Plug in the numbers (coordinates) given, like so:
[tex]m=\frac{3-7}{6+4}[/tex]
[tex]m=\frac{-4}{10}[/tex]
Simplify:
[tex]m=\frac{-2}{5}[/tex]
Scott traveled and left his home on his bicycle and went 2 miles to the beach. The trip took him 15 minutes. He returned home the same way at a speed of 6 miles per hour. How many hours did it Scott take to get back home?
It took him 20 minutes to get home going 6 mph.
Which table represents exponential growth?
Answer:
You haven't linked any tables?
Step-by-step explanation:
A gym offers three levels of membership based on the number of visits per month, as represented by the table. Kaleigh wants to know how much she will pay for her gym membership. Which graph represents the total monthly cost at the gym as a function of the number of visits Kaleigh plans to make each month?
Answer:
graph one
Step-by-step explanation:
Let
x ----> the number of visit per month
y ----> the total cost
we know that
Observing the table
1) For the interval of x equal to ----> [0,12] (close circle both points)
The domain is all whole numbers greater than or equal to 0 visits and less than or equal to 12 visits
The value of y is
y=5x+15
For x=0 ----> y=$15
For x=12 ----> y=5(12)+15=$75
The range is the interval ----> [15,75] (close circle both points)
All real numbers greater than or equal to $15 and less than or equal to $75
2) For the interval of x equal to ---->(12,16] (open circle at left and close circle at right)
The domain is all whole numbers greater than 12 visits and less than or equal to 16 visits
The value of y is
y=4x+32
For x=12 ----> y=4(12)+32=$80
For x=16 ----> y=4(16)+32=$96
The range is the interval ----> (80,96] (open circle at left and close circle at right)
All real numbers greater than $80 and less than or equal to $96
3) For the interval of x equal to ---->(16,24] (open circle at left and close circle at right)
The domain is all whole numbers greater than 16 visits and less than or equal to 24 visits
The value of y is
y=3x+42
For x=16 ----> y=3(16)+42=$90
For x=24 ----> y=3(24)+42=$114
The range is the interval ----> (90,114] (open circle at left and close circle at right)
All real numbers greater than $90 and less than or equal to $114
please mark me brainliest!
The graph that represents the total monthly cost at the gym as a function of the number of visits in a month is shown by option A)
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Based on the number of visits each month, a gym provides three different levels of membership.
Let the monthly visits be 'a' and the overall expense be 'b'. The following will be the appropriate graph showing the total monthly cost of the gym as a function of monthly visits:
A) For the interval of a = [0,12]
The value of b is given by:
b = 5a + 15
when a = 0 in the above equation.
b = $15
when a = 12 in the above equation.
b = 60 + 15
b = $75
The interval of b = [15,75]
B)
For the interval of a = [12,16]
The value of b is given by:
b = 4a + 32
when a = 12 in the above equation.
b = 48 + 32
b = $80
when a = 16 in the above equation.
b = 64 + 32
b = $96
The interval of b = [80,96]
C)
For the interval of a = [16,24]
The value of b is given by:
b = 3a + 42
when a = 16 , we get
b = 48 + 42
b = $90
when a = 24 in the above equation , we get
b = 72 + 42
b = $114
The interval of b = [90,114]
Hence , the graph is represented by graph A
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