there are three consecutibe even inters. Three time the samllest it twice the largest. What are the inergers?
Answers
Answer:
8, 10, 12
Step-by-step explanation:
Denote the smallest integer by x.
The second integer is then x+2.
The third integer is then x+4.
Three times the smallest interger is 3x
Twice the largest integer is 2(x+4)
Three times the smallest integer is twice the largest integer
3x=2(x+4)=2x+8
Subtract 2x from each side
x=8
The integers are 8, 10, 12
Related Questions
1/3 1/2 3/4 from smallest to largest
Answers
In order to compare the fractions, we need to put them in the same denominator.
Calculating the least common multiple between the denominators, we have 12, so we have:
\(\begin{gathered} \frac{1}{3}=\frac{4}{12} \\ \\ \frac{1}{2}=\frac{6}{12} \\ \\ \frac{3}{4}=\frac{9}{12} \end{gathered}\)Now, comparing the fractions, we have:
\(\begin{gathered} \frac{4}{12}<\frac{6}{12}<\frac{9}{12} \\ \\ \frac{1}{3}<\frac{1}{2}<\frac{3}{4} \end{gathered}\)So the correct order is:
1/3, 1/2, 3/4
Mitchell earned $43,000 last year he received an 8% salary increase how much does Michelle make now
Answers
Answer:
The answer is 46,440.
Step-by-step explanation:
108/100 * 43,000= 46,440
Answer
Mitchell now makes $46,440.
Step-by-step explanation:
108/100 * 43,000= 46,440
Hope this helped <3
Evaluate f(2) for the function f(x) = 3x² + 2x - 5.
Answers
Answer:
f(2)= 11
Step-by-step explanation:
you have to substitute 2 for every x you see:
f(x) = 3x² + 2x - 5
f(2)= 3(2)^2+2(2)-5
f(2)= 11
3х + 1 = 7
3x + 1 = 7
-1 -1
Зх
—
Helpppppppp
Answers
Answer:
6
Step-by-step explanation:
3x+1 = 7
3x+1-1 = 7-1
3x = 6
Carlos read 150 words in one minute. He
read 5 times as many words as his younger
brother. How many words did his younger brother
read in one minute?
Answers
Answer:
30
Step-by-step explanation:
150/5 = 30
Answer: 30
Step-by-step explanation:
Interpret the regression coefficients. Fill in the blanks below.
The [a. coefficient of determination b. correlation coefficient intercept
slope coefficient] is the estimated amount of a purchase if time spent viewing the online catalog were zero. The a. intercept b. coefficient of determination
c. slope coefficient d. correlation coefficient] is the estimate of amount that a purchase changes for one extra minute spent viewing the online catalog.
b. Compute the coefficient of determination and interpret its meaning. Fill in the blanks below.
The [a. proportion b. amount] of the total variation in purchases that can be explained by variation in the minutes spent viewing the? on-line catalog is equal to the coefficient of? determination, which is ____. (Round to three decimal places as needed)
State the conclusion. Fill in the blanks below. [a. Do not Reject b. Reject] the null hypothesis. There is [a. sufficient b. insufficient] evidence to support the claim that the overall model is significant.
The p-value is ____. (Round to three decimal places as needed.)
State the conclusion. Fill in the blanks below.
a.Do not Reject b. Reject c. the null hypothesis. There is a. sufficient b. insufficient
evidence to support the claim that the overall model is significant.
Determine the p-value.
The p-value is ____. (Round to three decimal places as needed.)
State the conclusion. Fill in the blanks below.
[a. Reject b. Do not Reject] the null hypothesis. There is [a. insufficient b. sufficient]
evidence to support the claim that the regression slope coefficient is not equal to zero.
Answers
Answer:
With the information given in the question, the blank spaces are filled thus:
Step-by-step explanation:
1. The intercept is the estimated amount of a purchase, if time spent viewing the online catalog was zero minutes.
2. The slope coefficient is the estimate of amount that a purchase charges/changes, for one extra minute spent viewing the online catalog.
3. The proportion of total variation in purchases that can be explained by variation in the minutes spent viewing an online catalog is equal to the coefficient of determination.
4. The p-value is the probability value
5. Reject the null hypothesis if there is sufficient evidence to support the claim that the regression slope coefficient is not equal to zero.
NOTE: In the case of number 5, the assumption is that;
Null Hypothesis: The regression slope coefficient = 0
Alternative Hypothesis: The regression slope coefficient ≠ 0
Other answers require numerical information and full data, in order to be computed or calculated.
What is 5 1/3% converted into a fraction?
Answers
Answer: \(\frac{4}{75}\)
To Know: A percent (%) divided by 100 becomes a decimal / fraction.
Step-by-step explanation:
\(5\frac{1}{3}\)% \(/100\)
\(5\frac{1}{3}\)%\(*\frac{1}{100}\)
\(\frac{16}{3}\)%\(*\frac{1}{100}\)
\(\frac{16*1}{3*100} =\frac{16}{300} =\frac{8}{150}=\frac{4}{75}\)
Leaving us with an answer of \(\frac{4}{75}\)
What is a pathogen?
O A. A medical instrument used to discover illnesses
O B. A strategy to destroy diseases
O c. Any organism or virus that causes an illness
O D. Any organism that increases a person's health
Answers
Answer:
C. Any organism or virus that causes an illness
Step-by-step explanation:
Hi!
Your answer is C.
Pathogens are tiny organisms, bacteriums, and/or viruses that can give any living organism a disease. They can be really harmful, and there are many different types.
In the given figure x = 145°. What theorem can be used to prove the lines p and q are parallel?
A) Same side interior angles converse theorem
B) Corresponding angles converse theorem
C) Alternate exterior angles converse theorem
D) Alternate interior angles converse theorem
Answers
When two lines are parallel the alternate exterior angles are congruent
What is the equation in slope-intercept form for the line that passes through the points (–1, 3) and (–2, –3)?
Answers
Answer:
The answer is y = 6x + 9.
-
Step-by-step explanation:
☆Remember: \(m = \frac{y_2 - y_1}{x_2 - x_1} \)
☆Slope-intercept: \(y = mx + b\)
---
☆We need to find the slope first. So just plug in according to the slope formula!
\(m = \frac{ - 3 - 3}{ - 2 - ( - 1)} = \frac{ - 6}{ - 1} = 6\)
---
☆Now we need to find the y-intercept. We are going to plug in the slope and a set of coordinates to find the y-intercept.
\(y = mx + b \\ 3 = 6( -1 ) + b \\ 3 = - 6 + b \\ \frac{ + 6 = + 6 \: \: \: \: \: \: \: \: \: \: }{9 = b \: \: \: \: \: \: \: \: \: \: \: } \)
---
☆Now all we need to do is plug in and we are done!
\(y = 6x + 9\)
▪Happy To Help <3
the five number summary of a dataset was found to be: 45, 51, 57, 65, 69 an observation is considered an outlier if it is below: an observation is considered an outlier if it is above:
Answers
Answer:
"an observation is considered an outlier if it is below: 30, an observation is considered an outlier if it is above 86"
Step-by-step explanation:
Five Number Summary:The five number summary of a dataset is composed of the following: minimum, quartile one, median, quartile three, maximum.
The minimum of a data set is simply the smallest value.
The quartile one is kind of like the median, or middle of the lower half of the data set, the 25th percentile.
The median is the middle of the data set, the 50th percentile.
The quartile three, similar to quartile one, is kind of like the median, or middle of the upper half of the data set, the 75th percentile.
Lastly the maximum of a data set, is simply the maximum value of a data set, or the biggest value.
Identifying Outliers:Broadly speaking, outliers are simply values that are abnormally far from the values in the data set, hence the name outliers. The issue is what we define as being "far" from the values in the data set, but luckily we have an equation for this! We have two equations, one for high outliers and low outliers. A value is an outlier if one of the two is true:
\(\text{outlier} < Q_1-1.5(\text{IQR})\\\text{outlier} > Q_3+1.5(\text{IQR})\)
The \(Q_1\text{ and }Q_3\) just represent the quartile one and three. The IQR part represents the Interquartile Range, which is just the difference of quartile 3 and 1, so: \(\text{IQR} = Q_3-Q_1\).
Now looking at the values given: 45, 51, 57, 65, 69 the 51 and 65 are the quartile one and three, so the IQR is: \(65 - 51 = 14\) So plugging these values into the equations we get:
\(\text{outlier} < 51-1.5(14)\\\text{outlier} > 65+1.5(14)\)
Simplifying each inequalityy we get:
\(\text{outlier} < 30\\\text{outlier} > 86\)
So "an observation is considered an outlier if it is below: 30, an observation is considered an outlier if it is above 86"
Functions
Acellus
Find the equation of this line.
[?]
-x+ []
y =
Simplify the fractional part.
![FunctionsAcellusFind the equation of this line.[?]-x+ []y =Simplify the fractional part.](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/jOq8SBOYzYbpcClNV3ECnPw4zy5JABOT.png)
Answers
Answer:
y = -2/5 x +1
Step-by-step explanation:
We know two points on the line (-5,3) and ( 5,-1)
We can find the slope using the slope formula
m = ( y2-y1)/ (x2-x1)
m = ( -1 -3)/( 5- -5)
= (-1-3)/ (-5+5)
-4/10
=-2/5
Using the slope intercept form of the the lint
y = mx+b where m is the slope and b is the y intercept
y = -2/5 x+b
Using one of the point and substitute in for x and y
3 = -2/5 (-5) +b
3 = 2 +b
1 = b
y = -2/5 x +1
The equation of the line passes through the points (0, 1) and (5, -1) will be;
\(y = - \dfrac{2}{5}x + 1\)
The equation of a line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (0, 1) and (5, -1).
Now,
Since, The equation of line passes through the points (0, 1) and (5, -1).
So, We need to find the slope of the line.
Hence, the Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (- 1 - 1) / (5 - 0)
m = - 2 / 5
Thus, The equation of the line with slope - 2/5 is,
\(y - 1 = - \dfrac{2}{5} (x - 0)\)
\(y - 1 = - \dfrac{2}{5}x\)
\(y = - \dfrac{2}{5}x + 1\)
Therefore, The equation of a line is \(y = - \dfrac{2}{5}x + 1\).
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y - 7 = 3 help me pls
Answers
Answer:
The answer is in the link
Step-by-step explanation:
Brainliest pls
in the form, y=a(1+r)^t PLEASEEEEEE
Answers
Answer:
y
a= ——
(r + 1 )t
Step-by-step explanation:
divide both sides
Figure ABCD is reflected across the x-axis. What are the coordinates of A′, B′, C′, and D′? Enter your answer by filling in the boxes. A′ (−1, −4) B′ (, ) C′ (−5, −4) D′ (−4, −2)
Answers
The coordinates of A′, B′, C′, and D′ for the reflection across the x-axis is given as: A'(2, -3), B'(5, -5), C'(7, -3), and D'(5, -2).
Explain about the reflection across the x-axis?One of the many transformations we can do on a geometric figure is reflection. By using an axis of symmetry, the original position is reversed.The x-coordinate remains constant when a point is reflected across the x-axis, but still the y-coordinate is assumed to correspond to the additive inverse. Point (x, y) is reflected across the x-axis as (x, -y).A(2, 3) ⇒ A'(2, -3),
B(5, 5) ⇒ B'(5, -5),
C(7, 3) ⇒ C'(7, -3),
D(5, 2) ⇒ D'(5, -2).
Thus, the coordinates of A′, B′, C′, and D′ for the reflection across the x-axis is given as: A'(2, -3), B'(5, -5), C'(7, -3), and D'(5, -2).
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The correct question is-
Figure ABCD is reflected across the x-axis. What are the coordinates of A′, B′, C′, and D′?
The figure is attached.
Damian has a balance of $10,200 on his credit card. He threw the card away so he can never use it again. He has 3 1/2 years to pay off the balance. The interest rate on his card is 21%.
a. At the end of the 3 1/2 years, how much interest has he paid? ________
b. When Damian pays off his credit card, how much will he have paid in all? _____
Answers
a. At the end of the 3 1/2 years, the amount of interest Damian has paid is $4,288.73.
b) When Damian pays off his credit card, the total amount (principal and interest) he has paid will be $14,488.73.
How is the interest determined?The interest is computed using an online finance calculator, setting the following parameters, based on the compounding interest system.
The calculator also shows the total payments made for the duration of the credit balance.
N (# of periods) = 42 months (3.5 years x 12)
I/Y (Interest per year) = 21%
PV (Present Value) = $10,200
FV (Future Value) = $0
Results:
PMT = $344.97
Sum of all periodic payments = $14,488.73
Total Interest = $4,288.73
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A survey was given to a random sample of the residents of a town to determine whether they support a new plan to raise taxes in order to increase education spending. The survey reported a confidence interval that between 22% and 32% of the residents supports the plan. What is the margin of error on the survey? Do not write ± ± on the margin of error.
Answers
Answer:
\(\Huge \bold{\boxed{\boxed{\text{5\%}}}}\)
Step-by-step explanation:
To calculate the margin of error for the survey, we need to use the formula:
\(\large \text{Margin of error} = \large \text{$\frac{\text{Range of values}}{2}$}\)
The range of values is the difference between the upper and lower bounds of the interval. In this case, the lower bound is 22% and the upper bound is 32%, so the range of values is:
\(\large \text{Range of values = 32\% - 22\% = 10\%}\)
Substituting this value into the formula, we get:
\(\large \text{Margin of error = $\frac{10\%}{2}$ = 5\%}\)
Therefore, the margin of error on the survey is 5%.
What is the solution to |x + 2| < 1?
A.
1 < x < 3
B.
-3 < x < -1
C.
x > 3 or x < 1
D.
x > -1 or x < -3
Answers
Type the slope-intercept equation of the line that passes through the points (6, 5) and (-6, -4)
Answers
Answer:
y=3/4x+1/2
Step-by-step explanation:
slope intercept form: y=mx+b
find the slope with y2-y1/x2-x1: (-4-5)/(-6-6)= 3/4
substitute one of the coordinates in the equation with the slope: 5=3/4(6)+b
solve to find b:
b=1/2
substitute in the equation:
y=3/4x+1/2
PLEASE HELP DUE SOON!
I'm so confused, help determine the 100th line segment from question below!
Answers
Answer:
20200
Step-by-step explanation:
As you're in a hurry, I can give it later? xx
How much is `10\%` of `10` liters of milk?
Answers
Answer:
one
Step-by-step explanation:
Which expression shows 7 more than the product of 8 times 9?
Answers
Answer:
Step-by-step explanation:
7 more than the product of 8 times 9
product of 8 times 9 = 8 × 9 = 72
7 more than the product of 8 times 9 = 72 + 7 = 79
Hope this helps
plz mark as brainliest!!!!!!!!!!
Need Help!!!! A pre-image has coordinates J(3, -6) and K(-1, -2). The image has coordinates J'(6, 3) and K'(2, -1). Describe the clockwise rotational path of the line segment.
Answers
After considering the given data we conclude that the clockwise rotational path of the line segment is a rotation of -59.04 degrees about the point (-6, -1).
We have to evaluate the center and angle of rotation to explain the clockwise rotation of the line segment.
So in the first step, we can evaluate the midpoint of the line segment JK and the midpoint of the line segment J'K'. we can calculate the vector connecting the midpoint of JK to the midpoint of J'K'. This vector is (4-1, 1-(-4) = (3,5)
The center of rotation is the point that is equidistant from the midpoints of JK and J'K'. We can evaluate this point by finding the perpendicular bisector of the line segment connecting the midpoints.
The slope of this line is the negative reciprocal of the slope of the vector we just found, which is -3/5. We can apply the midpoint formula and the point-slope formula to evaluate the equation of the perpendicular bisector:
Midpoint of JK: (1, -4)
Midpoint of J'K': (4, 1)
The slope of the vector: 3/5
(x₁ + x₂)/2, (y₁ + y₂) /2
Point-slope formula: y - y₁ = m(x - x₁)
Perpendicular bisector: y - (-4) = (- 3/5)(x - 1)
Applying simplification , we get: y = (- 3/5)x - 1.2
To evaluate the center of rotation, we need to find the intersection point of the perpendicular bisector and the line passing through the midpoints of JK and J'K'. This line has slope ( 3 - (4)) /(4 - 1) = 7/3 and passes through the point (4, 1). Applying the point-slope formula, we can evaluate its equation:
y - 1 = (7/3)( x - 4)
Apply simplification , we get: y = (7/3)x - 17/3
To evaluate the intersection point, we can solve the system of equations:
y =(- 3/5)x - 1.2 = (7/3)x - 17/3
Evaluating for x and y, we get x = -6 and y = -1.
Therefore, the center of rotation is (-6, -1).
√( 4 - 1)² + ( 1 - ( - 4))²) = 5√(2)
Distance between image points and center of rotation
√( ( 6 - (-6))² + ( 3 - (-1))² = 13
The ratio of these distances gives us the scale factor of the transformation, which is 13/√2).
The angle of rotation is negative as the image moves clockwise direction. We can apply the inverse tangent function to find the angle of the vector connecting the midpoint of JK to the midpoint of J'K':
Angle of vector: arctan(5/3) = 59.04 degrees
Therefore, the clockwise rotational path of the line segment is a rotation of -59.04 degrees about the point (-6, -1).
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In the past, Juana's father rode his bike 112 miles in 7 hours. Her mother rode the same distance in 8 hours. Juana plans to ride her bike 112 miles at a steady rate of 18 mph for y hours. Will she match her father's or mother's time? Use the equation 112 divided y = 18 to justify your answer
Answers
Juana can match her parents time as she has a larger speed than her parents.
How to calculate the time?From the information, Juana's father rode his bike 112 miles in 7 hours. The speed will be:.
= Distance / Time
= 112/7
= 16 miles per hour.
Her mother rode the same distance in 8 hours. The speed will be:
= Distance / Time
= 112 / 8
= 14 miles per hour.
Since Juana plans to ride her bike 112 miles at a steady rate of 18 mph for y hours. This shows that her speed is better
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Use the distributive property to remove the parentheses. 12(3+y)
Answers
Answer:
36 +12y
Step-by-step explanation:
The factor outside parentheses multiplies each term inside parentheses:
12(3 +y)
= (12)(3) +(12)(y)
= 36 +12y
Answer:
Given,\(12(3+y)\)\((12×3)+(12×y)\)\(36+12y\)Rana sells 192 cakes in the ratio small: medium: large = 7 : 6 : 11.
The profit for one medium cake is twice the profit for one small cake.
The profit for one large cake is three times the profit for one small cake.
Her total profit is £532.48
Work out the profit for one small cake
Answers
Answer:
S = £1.28
Step-by-step explanation:
Let the small, medium and large cakes be S, M and L respectively.
Given the following data;
Total profits = £532.48
Total number of cake = 192 cakes
Ratio of S:M:L = 7:6:11
Sum of ratio = 7+6+11 = 24
To find number of each cakes, we would divide the total number of cakes by the sum of ratio;
Number of each cakes = 192/24
Number of each cakes = 8
Next, we determine the exact number of each type of cakes.
Small = 7*8 = 56 cakes.
Medium = 6*8 = 48 cakes.
Large = 11*8 = 88 cakes.
For the profits;
Translating the word problem into an algebraic expression, we have;
M = 2S
L = 3S
56S + 48*(2S) + 88*(3S) = £532.48
56S + 96S + 264S = 532.48
416S = 532.48
S = 532.48/416
S = £1.28
Therefore, the profit for one small cake is £1.28
What is the sum of the interior angles of a regular polygon with 9 sides?
1,260°
1,620°
1,800°
1,980°
Answers
The sum of the interior angles of a regular polygon with 9 sides will be 1260°. The correct option is A.
What is the angle of the polygons?An angle is defined in mathematics as the figure formed by joining two rays at their common endpoint. An interior angle is an angle that exists within a shape. Polygons are closed shapes with sides and vertices. All of the interior angles of a regular polygon are equal.
Given that the number of the sides of the polygon is 9. The sum of the interior angles of the polygons will be calculated as,
Sum = ( n - 2 ) 180°
Sum = ( 9 - 2 ) 180
Sum = 7 x 180
Sum = 1260°
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2. Sean arrives in Paris at 10:37am. He spends
next 4 hours 45 minutes in sight seeing and
further 38 minutes in a taxi to go to hotel. What
time does Sean reach the hotel?
Answers
Answer:
4pm
10:37 + 4:45 hours +38 min makes arrival time 4pm
With a full tank of gas, if you can drive 470 miles, your car can go 21 miles per gallon.
Write an equation to model this situation (use m for miles you can drive and g for gallons in tank).
Answers
If you have a gallon of gas then you can only drive 21 miles. M depends on G and G depends on M
Si tengo 10 melones y voy a repartir entre 15 niños cuánto le toca a cada uno
Answers
Answer:
0.66 melones por niño o 2/3
Step-by-step explanation:
10/15=2/3=0.66