Answer:
x + x + 1 + x + 2 + x + 3 + x + 4 + x + 5 + x + 6 = 7(x + 1)
Step-by-step explanation:
Equations
The situation can be written as an algebraic equation by setting the variables as follows:
x = first integer
x + 1 = second integer
x + 2 = third integer
x + 3 = fourth integer
x + 4 = fifth integer
x + 5 = sixth (and last) integer
The sum of all six numbers must be equal to 7 times the second number, thus:
x + x + 1 + x + 2 + x + 3 + x + 4 + x + 5 + x + 6 = 7(x + 1)
What is true regarding two adjacent arcs created by two
intersecting diameters?
Given:
Two diameters intersect each other.
To find:
The correct statement regarding two adjacent arcs created by two intersecting diameters.
Solution:
We know that, two diameter intersect each other at origin and measure of arc is equal to the corresponding angle generated by the intersection of diameters.
If two lines intersect each other then we get 4 angles and sum of any two adjacent angles is 180°.
It means the sum of any two adjacent central angles generated by the intersection of diameters is 180°.
So, the sum of two adjacent arcs created by two intersecting diameters is 180°.
Therefore, the correct option is C.
what angle is supplementary to angle 5
Answer:
Angle 5 and angle 6 are supplementary angles
Step-by-step explanation:
Angle 5 and 6 are both supplementary angles because angle 6 and 5 are linear pairs
Which coordinate grid shows Point A at (0.25, −1.75)?
Answer:
Chart B
Step-by-step explanation:
you go out .25 on the x axis and down 1.75
Answer:
im pretty sure it's a
Step-by-step explanation:
im literally doing that question
Monica swam 4 laps in 15 minutes. At this rate, how many laps would she
swim in 45 minutes?
Answer:
so the answer would be 3
Step-by-step explanation:
Lets take a look she swam for 45 minutes if we do
add 15, 3 times we get 45
15 + 15 +15 = 45
We can also do 3 x 15 which also equals 45
so its 3
six clowns perform three acts in a circus. the clowns appear two at a time. Jack, Marty, and Orville are paired with Kelly, Leslie and Nancy in some order. Kelly and her partner appear after jack and his partner. Orivlle also comes on before Kelly, and Leslie appears before Nancy. Jack and Leslie are partners. Witch pair peforms second?
Answer:
The pair that performs second are Orville and Nancy.
Step-by-step explanation:
Since Jack and Leslie are partners and that they appear before Kelly, it is safe to assume that this pair may come first beforehand in which Orville also comes on before Kelly. Nancy also appears before Leslie and since each pair has a female and a male, it is safe to assume that Orville and Nancy perform second while Jack and Leslie perform first and Kelly and Marty perform last.
THE ANSWERS ARE WRONG. I need help finding the right answers for 30 pts. I will post an additional question after this for 30 points aswell.
Answer:
∠D = 60
∠E = 99; x = 4
x = 32
Step-by-step explanation:
First things first, the sum of angles in a quadrilateral is 360°.
∠D + 120 + 95 + 85 = 360
∠D = 360 - 120 - 95 - 85
∠D = 60
∠E + 86 + 100 + 75 = 360
∠E = 360 - 86 - 100 - 75
∠E = 99
24x + 3 = 99
24x = 99 - 3
= 96
x = 96 ÷ 24
x = 4
89 + 5x - 8 + 51 + 3x + 4 = 360
7x + 136 = 360
7x = 360 - 136
= 224
x = 224 ÷ 7
x = 32
Question:
1. Write an equation of the line that is parallel to y = -4x + 8 and passes through the point (5, 1).
2. Write an equation of the line that is perpendicular to y = -4x + 8 and passes through the point (5,1).
Answer:
Explanation is written below.
Step-by-step explanation:
1)
Given the line
[tex]y = -4x + 8[/tex]
Comparing with the slope-intercept form of the line equation
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept
So, the slope of the line = m = -4
We know that the parallel lines have equal slopes.Thus, the equation of the line that is parallel to y = -4x + 8 and passes through the point (5, 1), using point slope form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
Here, m is the slope and (x₁, y₁) is the point
substituting the values m = -4 and the point (5, 1)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
y-1 = -4 (x - 5)
y-1 = -4x+20
y = -4x+20+1
y = -4x + 21
2)
Given the equation
[tex]y = -4x + 8[/tex]
Comparing with the slope-intercept form of the line equation
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept
So, the slope of the line = m = -4
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be: 1/4
Thus, an equation of the line that is perpendicular to y = -4x + 8 and passes through the point (5,1), using point slope form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
Here, m is the slope and (x₁, y₁) is the point
substituting the values m = 1/4 and the point (5, 1)
[tex]y-1\:=\:\frac{1}{4}\:\left(x\:-\:5\right)[/tex]
Add 1 to both sides
[tex]y-1+1=\frac{1}{4}\left(x-5\right)+1[/tex]
[tex]y=\frac{1}{4}x-\frac{1}{4}[/tex]
does anyone have an answer?
Answer:
A
Step-by-step explanation:
square root(2) times square root(18)
is square root(36)
which is 6, a rational number
Answer:
Your answer would be A
√2 × √18
Step-by-step explanation:
√2 × √18 = 6
That's rational number
hope it helps!
Please help timed :( 30points
If x=4 what is the perimeter of this figure?
11
8
16
24
Use the graph below. Explain why the intervals on the horizontal axis could make the graph misleading
45.54
a. The intervals are not comparable. The shorter bar spans more than 10 years
b. The intervals are appropriately labeled
c. The intervals are not comparable, but the data on the graph is not misleading
d. The vertical axis does not have an appropriate scale
Answer:
(D) I think
Step-by-step explanation:
Lets look at our answer choices; A.
The intervals are not comparable. The shorter bar spans more than 10 years. When it comes to a horizontal axis it doesn't matter how far it expands,just if it's expanded correctly.
B.The intervals are appropriately labeled. There not it goes from 25 to 50 in just in instant few climbs up.
C.The intervals are not comparable, but the data on the graph is not misleading. It is misleading the graphs are incorrectly labeled.
Which brings us to our answer D.The vertical axis does not have an appropriate scale. it goes from 0-25 25-50 and 50-75 then 75-100. that's a short distance for such numbers that are pretty far apart.
I hope I'm right and I hope this helps:)!
Answer: A: the intervals are not comparable. The shorter bar spans more than 10 years
Step-by-step explanation:
edge 2021
find the greatest common factor of each set 15,20
Answer:
5
Step-by-step explanation:
.......................
2(x - 4) - 2 = 5x + 23
x= ?
For Christmas your boss gives you a $1,500 bonus. You were not expecting the money, so you decide you want to invest it. What kind of account be the best choice for you: Checking, Savings, Money Market or Certificate of Deposit? Explain your reason for your answer
Answer:
Savings
Step-by-step explanation:
I do my own banking that's why I know this
help! 50% of what is 20?
50% of 10 is 20
hope this helped
:)
What is the answer to 8/10 x 5/2
Answer:
your answer is 2!
Step-by-step explanation:
you have to make it an improper fraction once you do you get 2!
brainliest please>
Answer:
2
Step-by-step explanation:
8/10 = 0.8
5/2 = 2.5
0.8 x 2.5 = 2
Click the photo to solve
Answer:
75
Step-by-step explanation:
the value of a triangle is 180 so you add 58 and 47 and you get 105 and the you do 180 - 105 and you get 75
please help! :) por favor ayuda please help with some of these
Answer:
-3x+10
Step-by-step explanation:
this is for 2
-3x+7+3
Collect like terms.
-3x+(7+3)
Simplify.
-3x+10
2. Find the constant of variation k for the inverse variation. Then write an equation for the inverse variation.
y = 4.5 when x = 3
a. k = 13.5; xy = 13.5
b. k = 1.5; y = 1.5
x
c. k = 1.5; y = 1.5x
d. k = 13,5; 13.5y = x
Answer:
Correct choice: a. k = 13.5; xy = 13.5
Step-by-step explanation:
Inverse Proportion
Two variables x and y are in inverse proportion or variation if:
[tex]\displaystyle y=\frac{k}{x}[/tex]
Where k is the constant of proportionality
Since we know that y=4.5 when x=3:
[tex]\displaystyle 4.5=\frac{k}{3}[/tex]
Solving for k:
[tex]k = 4.5*3 = 13.5[/tex]
Thus the equation is:
[tex]\displaystyle y=\frac{13.5}{x}[/tex]
Or, equivalently:
[tex]xy = 13.5[/tex]
Correct choice: a. k = 13.5; xy = 13.5
The position of a particle moving along the x-axis is given by a twice-differentiable function x(t). If x(2) < 0, x'(2) < 0, and x''(2) <0, which of the following statements must be true about the particle at time t=2?
a. The particle is moving toward the origin at a decreasing speed.
b. The particle is moving toward the origin at an increasing speed.
c. The particle is moving away from the origin at a decreasing speed.
d. The particle is moving away from the origin at an increasing speed.
e. The particle is moving away from the origin at a constant speed.
Answer:
c cuz differential of position is velocity, velocity is negative so moving away, differential of velocity is acceleration, negative acc is decreasing velocity
Is this right?
I boxed my answer
I got
y = 0x + -4
Answer:
See the work below.
Step-by-step explanation:
First, find the slope.
y2-y1/x2-x1
-4--4/5-0 = 0/5
Slope is 0
Use point-slope form.
y-y1=m(x-x1)
y+4=0(0-0)
y+4=0+0
y=-4
If f(x) = 2 - x and g(x) = x^2+ x, find each value.
. g(3)
. F(m)
. F (1)+g(2)
. F(11)
Answer:
Step-by-step explanation:
3x + 5y = 7
Since that is our original form, let's convert it so that we can find the slope:
5y = -3x + 7
y = -3/5 x + y
To get a perpendicular line, we need the negative reciprocal of the slope. This means that the sign switches and numerator and denominator flip:
m = 5/3
From here, we use the point-slope equation and then convert that into slope-intercept form:
y - y1 = m(x - x1)
y - 6 = 5/3(x - 0)
y - 6 = 5/3x
Sally is currently working as a real estate agent at a local firm in Morris County. She is looking to promote the area and attract a new affluent clientele. Listed below are the prices of the last five home sales in the area and the descriptive statistics for those sales.
House A $200,000 Descriptive Statistics
House B $225,000 Lowest Price $200,000
House C $235,000 Mean Price $437,000
House D $275,000 Median Price $235,000
House E $1,250,000 Highest Price $1,250,000
What is the most ethical course of action Sally can take in advertising to potential clients?
a. Advertise that, "Homes in our area sell for over a million dollars!"
b. Advertise that, "Homes in our area sell for an average price of $437,000."
c. Advertise that, "Homes in our area sell for a median price of $235,000."
Answer:
c cuz a is misleading, b is misleading too as house e value is an outlier. so answer is c
The candy produced by a company has a sugar level that is normally distributed with a mean of 16.8 grams and a standard deviation of 0.7 grams. The company takes readings of every 10th bar off the production line. The reading points are 17.3, 14.9, 18.3, 16.5, 16.1, 17.4, 18.4. Is the process in control or out of control and why?
Answer:
It is not in control because at least two of the of the data points are more than 2 standard deviations from the mean are far apart.
18.3,18.4 > 18.2 Upper Control limit
14.9, > 15.4 Lower Control Limit
Step-by-step explanation:
Find the limits using μ ± 3σ and μ ± 2σ
Using μ ± 3σ
Upper Control Limit = μ + 3σ = 16.8 + 3(0.7)= 16.8 + 2.1= 18.9
Lower Control Limit = μ - 3σ =16.8 - 3(0.7)= 16.8 - 2.1= 14.7
Using μ ± 2σ
Upper Control Limit = μ + 2σ = 16.8 + 2(0.7)= 16.8 + 1.4= 18.2
Lower Control Limit = μ - 2σ =16.8 - 2(0.7)= 16.8 - 1.4= 15.4
The data points are 17.3, 14.9, 18.3, 16.5, 16.1, 17.4, 18.4.
Rearranging these data points 14.9, 16.1, 16.5, 17.3, 17.4, 18.3,18.4.
We see from the above that it is out of control because the values jump above and below the mean.
It is not in control as two of the of the data points are more than 2 standard deviations from the mean are far apart.
Jesse is a pizza delivery driver. Each day his employer gives him $20 plus $0.50 for every pizza that he delivers.
Write an equation that can be used to determine how much Jesse earns each day if he delivers x pizzas.
Answer:
Concept: Algebraic Representation
You have a daily pay or a y-intercept of 20 Then you have a variable change such that 0.50 is earned for each additional pizza Hence the representation is y=0.50x+20X represents pizzas sold and y represents total payAnswer:
y=0.50x+20
X represents pizzas sold and y represents total pay
Mr . Jack sold 13 pounds of grapes at his grape stand . The grapes sold for 2.28 per pound .
How much did mr . Jack receive for the grapes he sold ?
Answer:
$29.64
Step-by-step explanation:
Multiply the number of pounds by the unit price.
13 lb * $2.28/lb = $29.64
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Please help me with this
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it will help with everything better if you go on
ASAP Find the slope of The ordered pairs (0,-17),(2,13)
Answer:
m=15
Step-by-step explanation:
Answer:
1 5
Step-by-step explanation:
Which two estimates is the quotient 345÷8 between
Need help I need to do this right now!
Answer: Okay, well first lets find the quotient 345 ÷ 8:
It is 43. 125, but we're going to simplify it to 43
Now this is the really easy part, so lets find a number greater than 43, which would be 44.
Now that we have that, we need to find a decimal that's lower than 43, which would be 42.
So our numbers would be 44 and 42.
Step-by-step explanation:
solve the equation
[tex]x = \sqrt{x \times + 1 \:} + 5[/tex]