By solving a little system of equations we will see that the two numbers are 12 and 31.
How to find the numbers?
Let's define the two numbers as a and b.
We know that one of the numbers is 7 more than twice the other, so we have:
a = 2b + 7
We also know that the sum of the two numbers is 43, so we get:
a + b = 43
Replacing the first equation into the second one we get:
2b + 7 + b = 43
3b = 43 - 7 = 36
b = 36/3 = 12
Now that we know b, we can find a:
a = 2*12 + 7 = 31
So the numbers are 12 and 31.
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‼️ See Picture ‼️Select the reason that best supports Statement 5 in the given proof.
The reason that best supports statement 5 is: B. multiplication property of equality.
What is the Multiplication Property of Equality?When you multiply both sides of an equation by the same quantity, you have applied the multiplication property of equality.
In statement 5, both sides of the equation was multiplied by 2. Therefore, the best reason is: B. Multiplication Property of Equality.
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Decimal’s I can’t understand it
Answer:
In Mathematics, the numbers can be classified into different types, namely real numbers, natural numbers, whole numbers, rational numbers, and so on. Decimal numbers are among them
Types of Decimal Numbers
Decimal Numbers may be of different kinds, namely
Recurring Decimal Numbers (Repeating or Non-Terminating Decimals)
Example-
3.125125 (Finite)
3.121212121212….. (Infinite)
Non-Recurring Decimal Numbers (Non Repeating or Terminating Decimals):
Example:
3.2376 (Finite)
3.137654….(Infinite)
Decimal Fraction- It represents the fraction whose denominator in powers of ten.
Example:
81.75 = 8175/100
32.425 = 32425/1000
Converting the Decimal Number into Decimal Fraction:
For the decimal point place “1” in the denominator and remove the decimal point.
“1” is followed by a number of zeros equal to the number of digits following the decimal point.
For Example:
8 1 . 7 5
↓ ↓ ↓
1 0 0
81.75 = 8175/100
8 represents the power of 101 that is the tenths position.
1 represents the power of 100 that is the units position.
7 represents the power of 10-1 that is the one-tenths position.
5 represents the power of 10-2 that is the one-hundredths position.
So that is how each digit is represented by a particular power of 10 in the decimal number.
can you please answer and explain this question
Answer:
mean: 106900
median: 8500
mode: 7,000, 8,000, and 11,000
Step-by-step explanation:
To calculate mean, add them all together and divide the number of how many numbers it has. For median make out the sequence from small to large. For this one is 5,000, 7, 000, 7,000, 8,000, 8,000, 9,000, 10,000, 11,000, 11,000, 1,000,000. The middle is between 8,000 and 9,000 so find it's middle number. The mode is the number that appears the most. In this case 7,000, 8000, 11,000 all appeared twice so they are the mode.
What is the domain of the function graphed below?
O X<7
O x<_7
O-2
O all real number
Reason:
The domain is the set of allowed x inputs.
The graph shows an open hole at x = 7, meaning that 7 itself isn't part of the domain. But any value smaller than this will be part of the domain. So that's why we go for x < 7.
The value x = -1 is allowed since we have a closed endpoint for one of the pieces here.
The arrow pointing to the left indicates that piece goes on forever in that direction.
Answer:
x < 7
Step-by-step explanation:
The domain of the function is less than 7 as indicated by the open dot. (a closed dot indicates ≥ or ≤)
At x = -1, it is part of the domain because there is at least one closed dot indicating it is part of the domain.
The domain of the function is :
x < 7The strip below is cut into 9 equal bars.
Shade 2/3 of this strip.
Answer:
Shade 6 bars.
Step-by-step explanation:
You are asked to shade 2/3 of the strip. It is given that the strip has 9 equal parts. Multiply the number and fraction together:
[tex]9 * \frac{2}{3} = \frac{9}{1} * \frac{2}{3} = \frac{9 * 2}{1 * 3} = \frac{18}{3} = 6[/tex]
You will shade 6 of the 9 bars given.
~
Help me please attachment: one image
Answer:
120 degrees.
Step-by-step explanation:
360 * 1/3 = 120
If you know that a student receives financial aid,
what is the probability that the student is a
graduate student?
Answer: Answer:
The probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.
Step-by-step explanation:
To determine what is the probability that a given student is a graduate, given that he or she is on financial aid, the following calculation must be performed:
6101 = 100
1879 = X
1879 x 100/6101 = X
187,900 / 6101 = X
30,798 = X
Therefore, the probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.
Step-by-step explanation:
In terms of the number of marked mountain goats, what is the relative frequency for male goats, female goats, adult goats, and baby goats? Write your answers as simplified fractions.
Elk Mountain Goat Deer Moose
Male 105 71 42 52
Female 120 93 63 34
Adult 173 103 72 58
Baby 52 61 33 28
Answer:
The answer is below.
Step-by-step explanation:
Elk: Total elk is 225
Males: [tex]\frac{105}{225}=\frac{7}{15}[/tex]Females: [tex]\frac{120}{225}=\frac{8}{15}[/tex]Adults: [tex]\frac{173}{225}[/tex]Baby: [tex]\frac{52}{225}[/tex]Mountain Goat: Total Goat is 164
Males: [tex]\frac{71}{164}[/tex]Females: [tex]\frac{93}{164}[/tex]Adults: [tex]\frac{103}{164}[/tex]Baby: [tex]\frac{61}{164}[/tex]Deer: Total Deer is 105
Males: [tex]\frac{42}{105}[/tex]Females: [tex]\frac{63}{105}[/tex]Adults: [tex]\frac{72}{105}[/tex]Baby: [tex]\frac{33}{105}[/tex]Moose: Total Moose is 86
Males: [tex]\frac{52}{86}=\frac{26}{43}[/tex]Females: [tex]\frac{34}{86}=\frac{17}{43}[/tex]Adults: [tex]\frac{58}{86}=\frac{29}{43}[/tex]Baby: [tex]\frac{28}{86}=\frac{14}{43}[/tex]Given the information marked on the figures below, classify each quadrilateral as a "Parallelogram" or "Not necessarily a parallelogram."
Note that each figure is drawn like a parallelogram, but you should not rely on how the figure is drawn in determining your answers.
If necessary, you may learn
The quadrilateral which can be considered as a "Parallelogram" or "Not necessarily a parallelogram. are second and fourth figure.
"The correct figures are (b) and (d)
What is a parallelogram?A parallelogram is a quadrilateral with opposite sides parallel (and therefore opposite angles equal).
The first one is a parallelogram because, the angle are shown are alternate interior angles which defined between two parallel lines.The second one is not a parallelogram because, the angle are shown are alternate interior angles which should defined between two parallel lines. But there are no parallel lines.The third one is not a parallelogram because, the parallelogram have opposite angles are equals not the adjacent angle.Here the adjacent angle are given equal.
The fourth one is a parallelogram because, the opposite side of parallelogram are equal and parallel to each other.Learn more about parallelogram here:
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why do we buy pre bc i dont want it
A normally distributed data set has a mean of 0 and a standard deviation of 2. Which of the following is closest to the percent of values between -4.0 and 2.0?
please help will give brainlist!!!
A normally distributed data set has a mean of 0 and a standard deviation of 2. The closest to the percent of values between -4.0 and 2.0 would be 84%.
What is the empirical rule?According to the empirical rule, also known as the 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95%, and 99.7% of the values lies within one, two, or three standard deviations of the mean of the distribution.
[tex]P(\mu - \sigma < X < \mu + \sigma) \approx 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) \approx 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) \approx 99.7\%[/tex]
A normally distributed data set has a mean of 0 and a standard deviation of 2.
[tex]Z=(x-\mu)/\sigma[/tex]
[tex]P(x=-0.4)\\\\z=(-0.4-0)/2\\\\= -0.2\\\\P(x=2)\\z=(2-0)/2\\\\=1[/tex]
[tex]P(-0.4 < x < 2)=p(-0.2 < z < 1)=p(-0.2 < z < 0)+p(0 < z < 1)[/tex]……….(by symmetry)
=.49865+.3413
.83995…….(by (http://83995…….by) table value)
=.8400 × 100
=84%
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-4x + 2 > 26.
O A. x> 6
O B. x < 6
O C. x>-6
O D. x<-6
- - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
What is -4x+2>26?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]
First subtract 2 on both sides, which results in
-4x>24
Now, divide by -4 on both sides:
x<-6
The inequality sign changed because we divided both sides by a negative number.
So the values of x less than -6 will make this inequality true (will satisfy the inequality).
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - -
What number (X) comes next in the series (17, 9, 18, 7, 19, 5, 20, X)
Answer:
x = 3
Step-by-step explanation:
The pattern is that every other number increases by 1, while the next decreases by 2
1. 17,18,19,20
2. 9,7,5,x
5-2 =3
3 is the answer.
Solutions:
Odd Terms: 17, 18, 19, 20
Find the common difference.
d = a₂ - a₁
d = 18 - 17
d = 1
Thus, for every odd term, the next terms are derived by adding 1.
Even Terms: 9, 7, 5, x
Find the common difference.
d = a₂ - a₁
d= 7 - 9
d = -2
Find x.
x = 5 + d
x = 5 + (-2)
x = 5 - 2
x = 3
Therefore, x = 3.
What is a sequence?In an arithmetic sequence, a term is obtained by adding a constant number to the preceding term. A sequence whose succeeding terms are obtained by adding a constant. Constant is called the common difference. Formula is a_n = a₁ + d(n - 1). The common difference is obtained by subtracting the first term from the second term.
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How many miles is 2 hours and 45 minutes ?
Answer:
24.85 mph
Step-by-step explanation:
I hope you have a great day:)
Your supposed to try and find X. I got 20 with trial and error and it fits but I’m not sure if that’s the right answer or how to get it
Answer:
x = 20
Step-by-step explanation:
The problem tells you the relationship between time, distance, and speed. Use the given relations to find the total journey time.
__
equationtotal time = Journey A time + Journey B time
total time = (distance A)/(speed A) + (distance B)/(speed B)
total time = 15/x +6/(x+4) = 1 . . . . . using the given values
solutionMultiplying by x(x+4) we have ...
15(x +4) +6(x) = (x)(x +4)
21x +60 = x² +4x
x² -17x -60 = 0 . . . . . rearrange to standard form
(x -20)(x +3) = 0 . . . . factor the equation
x = 20 or x = -3 . . . values of x that satisfy the equation
We know the speed must be positive, so x = -3 is an extraneous solution.
The value of x is 20 (km/h).
The temperature at midnight was -8°C. The temperature at 5 am was -3°C. (a) Work out the difference between the two temperatures. (b) The temperature at midday was 9°C higher than the temperature at 5 am.. Work out the temperature at midday.
a) The difference between the temperatures is 5°c.
b) We will see that at midday, the temperature is 12°C.
How to find the differences between the temperatures?
We know that at midnight the temperature was T = -8°C, and at 5am the temperature was T' = -3°C.
a) First we want to find the difference between the temperatures, we can compute that directly:
T' - T = -3°C - (-8°C) = 5°C
This means that the temperature increased 5°C in that time interval.
b) At midday, the temperature was 9°C higher than at 5am, this means that:
T'' - T' = 9°C
T'' - 3°C = 9°C
Now we can solve this for T''
T'' = 9°C + 3°C = 12°C
At midday, the temperature is 12°C.
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Question 10 of 10
In order to solve the following system of equations by subtraction, which of
the following could you do before subtracting the equations so that one
variable will be eliminated when you subtract them?
4x - 2y=7
3x - 3y=15
A. Multiply the top equation by 15 and the bottom equation by 7.
B. Multiply the top equation by-3 and the bottom equation by 2.
O C. Multiply the top equation by 3 and the bottom equation by 4.
Can someone help me
Answer:
B. Multiply the top equation by-3 and the bottom equation by 2.
Step-by-step explanation:
-3(4x-2y=7)
2(3x-3y=15)
-12x + 6y= -21
6x - 6y = 30
6y and -6y both cancel each other out which gives us 0 when -3 is multiplied by the top and the bottom is multiplied by 2, which gives us the answer B.
Customers who join a store's rewards program are invited to spin a wheel and earn a prize. The wheel is divided into eight same-sized sections, and three of those sections represent winning a gift certificate. Assuming the wheel is fair, approximately how many gift certificates are likely to be won if 528 customers spin the wheel?
A. 198 gift certificates
B. 176 gift certificates
C. 144 gift certificates
D. 66 gift certificates.
Please show your work and tell me how you figured it out.
Answer:
A. 198 gift certificates.
Step-by-step explanation:
The probability of winning on a single spin = 3/8.
Number of expected winners
= 528 * 3/8
= 66 * 3
= 198.
Find the mean and standard deviation for the data set
{6, 8, 7, 5, 10, 6, 9, 8, 4}
Please SHOW steps for everything
Answer:
See below
Step-by-step explanation:
The mean is simply adding up each data value and dividing your result by the number of data values:
[tex]\text{Mean}=\frac{6+8+7+5+10+6+9+8+4}{9}=\frac{63}{9}=7[/tex]
The standard deviation is calculated through finding the sum of the squared differences between the mean and each data point, and dividing that result by the number of data values, which we then take the square root of:
[tex]\text{Standard Deviation}=\sqrt{\frac{(6-7)^2+(8-7)^2+(7-7)^3+(5-7)^2+(10-7)^2+(6-7)^2+(9-7)^2+(8-7)^2+(4-7)^2}{9}}=\sqrt{\frac{10}{3}}\approx1.8257[/tex]
What this value means is that each data point is spread about 1.8257 apart from the mean. Standard deviation describes how dispersed the data is in relation to the mean.
PLS HELP ME ASAP I NEED HELP RN PLS WHOEVER ANSWERS IS THE BRAINLIEST
Madeline scored 75 and 80 on her first two exams. What score does she need to achieve on the third exam in order to earn an average of 85?
Answer:
100
Step-by-step explanation:
She wants to average 85, so adding ALL three of her scores, divided by 3 needs to equal 85.
(75 + 80 + x)/3 = 85
Times by 3.
75 + 80 + x = 255
155 + x = 255
subtract 155.
x = 100
She needs 100 on the third test.
!!PLEASE HELP!!
I've been stuck on this for 2 hours I have no idea what I'm doing pls explain your answer am begging you
Answer:
So basically there are the letters V, U , T, and S on each corner right? If you remove the X and cross in the middle, the shape of V, U, T, and S gives you a parallelogram. A parallelogram is a shape that has two pairs of parallel sides. The lines V and U are parallel to the lines S and T. The same goes for lines V and S; they are parallel to U and T.
Step-by-step explanation:
I hope this helped! I tried to explain the best as I could..
pls someone help, my he is due by tonight
Answer:
I hope it helps................
Help me please this is confusing
Answer:
40/8
Step-by-step explanation:
last one i think
Which of the following sets does not contain any irrational numbers?
PICTURE OF SETS SHOWN BELOW.
Thank you so much
Answer:
4 +311/59 answer IsD ong I know
From this data, how many male, female, adult, and baby mountain goats do you predict are in the park
Answer:
See below ~
Step-by-step explanation:
Part A
Male elk = 105/450 = 7/30Female elk = 120/450 = 4/15Adult elk = 173/450Baby elk = 52/450 = 26/225Part B
Male elk = 7/30 = 0.233 = 23.3%Female elk = 4/15 = 0.267 = 26.7%Adult elk = 173/450 = 0.384 = 38.4%Baby elk = 26/225 = 0.116 = 11.6%if f (1) =5 and f (n) = 5f (n-1) + 5 then find the value of f (3)
Using the given functions, the value of f(3) is 155
From the question, we are to determine the value of f(3) using the given function.
The given function is
f(n) = 5f(n-1) + 5
To determine the value of f(3),
First, we will determine the value of f(2)
From the given function
f(n) = 5f(n-1) + 5
We can find f(2) as shown below
f(2) = 5f(2-1) + 5
f(2) = 5f(1) + 5
From the given information,
f(1) = 5
∴ f(2) = 5(5) + 5
f(2) = 25 + 5
f(2) = 30
Now, we can determine f(3)
Also, from the given function
f(n) = 5f(n-1) + 5
Then,
f(3) = 5f(3-1) + 5
f(3) = 5f(2) + 5
Substituting the value of f(2) into the equation, we get
f(3) = 5(30) + 5
f(3) = 150 + 5
f(3) = 155
Hence, the value of f(3) is 155
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The New York Yankees are having a promotion. For the first 2500 fans to enter the stadium they will receive a signed baseball. The stadium holds 50086 people and was sold out for the game. What is the probability of receiving one of the signed baseballs?
Answer:
Step-by-step explanation:
Comment
(Fans who received a baseball) = 2500
Total number of seats in Yankee Stadium = 50086
P(those who got a baseball) = 2500 / 50086
Answer P(Those who got a baseball) = 0.04991 rounded.
A school nutritionist wanted to Determine which type of lunch was most popular to do this she kept track of the number of each top of lunch sold to the students in one day how many more burger lunches than chicken lunches for salt
A ratio shows us the number of times a number contains another number. The number of students the cafeteria should expect to buy chicken is 260.
What is a Ratio?A ratio shows us the number of times a number contains another number.
The ratio of the number of students to the number of total students can be written as,
Ratio = (Number of students)/(Number of total students)
Ratio = 52/(52+26+30+48+44) = 52/200
Now, the same ratio is applicable to 1000 students, therefore, the ratio will be,
Number of students who prefer burgers= 1000 × (52/200) = 260
Hence, the number of students the cafeteria should expect to buy chicken is 260.
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What is the coefficient of x after simplifying the expression?
7y + 4x + 4 - 2x +8
Answer:
The coefficient of x is 2.
Step-by-step explanation:
1) Add the numbers
7y + 4x + 4 - 2x + 8
7y + 4x + 12 - 2x
2) Combine like terms
7y + 4x + 12 - 2x
7y + 2x + 12
3) Rearrange items
7y + 2x + 12
2x + 7y + 12
What would you have to show in order to prove that a quadrilateral is a rectangle?
A. Consecutive sides have opposite reciprocal slopes.
B. All sides are congruent.
C. Opposite sides are parallel.
D. Consecutive sides are congruent,
but opposite sides are not.
Answer:
A. Consecutive sides have opposite reciprocal slopes
Step-by-step explanation:
A rectangle is a special case of parallelogram, in which the diagonals bisect each other and are the same length, and all angles are right angles. In order to prove a quadrilateral is a rectangle, it can be shown to be a parallelogram, but one or the other of these additional characteristics must be proven.
__
A. Consecutive sides have opposite reciprocal slopes
Sides with opposite reciprocal slopes will be perpendicular. That is, the angle between them will be a right angle. If all pairs of consecutive sides meet at right angles, the figure must be a rectangle.
B. All sides are congruent
A rhombus is a quadrilateral in which all sides are congruent. It will only be a rectangle if the diagonals are the same length, or, equivalently, adjacent sides meet at right angles.
C. Opposite sides are parallel
A parallelogram will have opposite sides parallel. It will only be a rectangle if the diagonals are the same length, and/or adjacent sides meet at right angles.
D. Consecutive sides are congruent, opposite sides are not.
This seems a contradiction, as opposite sides are consecutive to the same side. (For example, sides AB and CD are both consecutive to side BC.) If we take this to mean that there are two pairs of consecutive congruent sides, then the figure may be a kite, but isn't necessarily a rectangle unless the other conditions are met.
_____
Additional comment
If sides are horizontal and vertical, the slope of the vertical sides is "undefined." It cannot be shown to be the opposite reciprocal of the slope of the horizontal sides.