Answer:
11 and 13
Step-by-step explanation:
let smaller odd number be x
larger odd nuber be x+2
according to the question algebraic expression can be written as
6x+3(x+2)=105
6x+3x+6=105
9x=105-6
9x=99
x=99/9
x=11
larger number=x+2
11+2
13
Find the equation for the line that passes through the points ( 7 , 2 ) and ( 10 , − 6 ) . Give your answer in slope intercept form
Answer:
y = [tex]\frac{-8}{3}[/tex]x + [tex]\frac{62}{3}[/tex]
Step-by-step explanation:
Use slope formula.
then substitute slope for m in y = mx + b
pick a set of coordinates and substitute them in for x and y.
Solve for b
Answer:
[tex]y=-\frac{8}{3}x+\frac{62}{3}[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)
1) Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the points (7,2) and (10,-6)
[tex]m=\frac{2-(-6)}{7-10}\\m=\frac{2+6}{7-10}\\m=\frac{8}{-3}[/tex]
Therefore, the slope of the line is [tex]-\frac{8}{3}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-\frac{8}{3}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-\frac{8}{3}x+b[/tex]
Plug in one of the given points and solve for b
[tex]2=-\frac{8}{3}(7)+b\\2=-\frac{56}{3}+b[/tex]
Add [tex]\frac{56}{3}[/tex] to both sides to isolate b
[tex]2+\frac{56}{3}=-\frac{56}{3}+b+\frac{56}{3}\\\frac{62}{3}=b[/tex]
Therefore, the y-intercept is [tex]\frac{62}{3}[/tex]. Plug this back into [tex]y=-\frac{8}{3}x+b[/tex]:
[tex]y=-\frac{8}{3}x+\frac{62}{3}[/tex]
I hope this helps!
The measure of an angle is 104 . What is the measure of its supplementary angle?
The answer is 180
Hope that helps
Answer:
76°
Step-by-step explanation:
The sum of supplementary angles = 180° , then
supplementary angle = 180° - 104° = 76°
Which two steps could be taken to simplify the expression y/3 + 2 = 11?
Answer:
y = 27
Step-by-step explanation:
y/3 + 2 = 11
First subtract 2 from each side
y/3 + 2-2 = 11-2
y/3 = 9
Then multiply each side by 3
y/3 *3 = 9*3
y = 27
Answer:
Answer is below :)
Step-by-step explanation:
y/3 + 2 = 11 is the Expression
Only two steps:
step 1 = subtract 2 from both the sides
y/3 = 9
Step 2 = multiply 3 from both sides
y = 27
I hope this solved your question.
I need the equation
Answer:
y=mx+b
Step-by-step explanation:
Which two statements are both true?
Answer:
The second choice is the correct choice
A two-factor study with 3 levels of factor A and 3 levels of factor B uses a separate sample of 10 participants in each treatment condition. How many participants are needed for the entire study
Answer:
[tex]P=60[/tex]
Step-by-step explanation:
From the question we are told that:
Number of Factor study [tex]N=2[/tex]
Level [tex]L=3[/tex]
Sample size [tex]n=10[/tex]
Generally the umber of participants needed for the study is mathematically given as
[tex]P=N*L*n[/tex]
[tex]P=2*3*10[/tex]
[tex]P=60[/tex]
The width of a rectangle is 5 ft less than the length. The area of the rectangle is 234f * t ^ 2 Find the length Land width W of the rectangle: L = W =
Answer:18x13
Step-by-step explanation:
6x1=6 7x2=14 keep going up staying 5 less than or more than it doesn't matter cause its the same when dealing with just two exponents. When you get to 18x13 you get 234.
Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
Answer:
96.25
Step-by-step explanation:
A ztable gives us values for P(X<x) and we're looking for P(X>x) so by the rule a symmetry we must make the value negative
Go to a ztable and find the value closest to .6 (I get .25), make this negative and let's set up our equation
-.25=(x-100)/15
solve for x
-3.75=x-100
x=96.25
Passes through
(-6, 13) and (3, 1).
Answer:
what passes through those points and what do yoy need to know about them?
What fraction of shape is pink ?
Answer:
1/3
Step-by-step explanation:
1/3 of the shape is pink because the circle is divided equally in three parts. Only one of the three parts is colored pink, therefore the fraction of the pink shade is 1/3.
What is the answer
a stick is x meters long. a string is 4 times as long as the stick.
Express the length of the string in terms of x
Answer:
Step-by-step explanation:
Length of stick = x meters
Length of string = 4 * length of stick
= 4 * x
= 4x
Answer:
4x
Step-by-step explanation:
Since x is the length of the stick and the string is 4 times as long as the stick, the length with be 4 times x or 4x.
I need help with this this is hard
Answer:
n > -6 and n < 8! Heart it if it was helpful :D
Step-by-step explanation:
Okay! So n has to be bigger than -6, but smaller than 8. So the inequalities are n > -6 and n < 8!
Answer:
n > -6 and n < 8
bcoz the number n has to be in between -6 and 8,
it must be greater than -6 and less than 8
An urn contains three white and four red chips. Each time we draw a chip, we look at its color. If it is red, we replace it along with two new red chips, and if it is white, we replace it along with three new white chips. What is the probability that, in successive drawing of chips, the colors of the rst four chips alternate?
Answer:
The probability that, in successive drawing of chips, the colors of the first four chips alternate = 0.0751
Step-by-step explanation:
Step 1:
The probability that, in successive drawing of chips, the colors of the first four chips alternate, can occur in two ways: RED-WHITE-RED-WHITE (RWRW) or WHITE-RED-WHITE-RED (WRWR).
Step 2:
Given that an urn contains three white and four red chips and that each time we draw a chip, we look at its color. If it is red, we replace it along with two new red chips, and if it is white, we replace it along with three new white chips.
Probability of RWRW is given as follows:
Probabilty of the first being a red = 4/7
Probability of the next being a white = 3/9 = 1/3
Probability of the next being a red = 6/12 = 1/2
Probability of the next being a white = 6/14 = 3/7
Thus, probability of RWRW = 4/7 × 1/3 × 1/2 × 3/7 = 0.0408
Probability of WRWR is given as follows:
Probabilty of the first being a white = 3/7
Probability of the next being a white = 4/10 =2/5
Probability of the next being a red = 6/12 = 1/2
Probability of the next being a white = 6/15 = 2/5
Thus, probability of WRWR = 3/7 × 2/5 × 1/2 × 2/5 = 0.0343
Step 3:
Probability of RWRW or WRWR = 0.0408 + 0.0343 = 0.0751
Therefore, the probability that, in successive drawing of chips, the colors of the first four chips alternate = 0.0751
In the graph above, what's the distance between (–1, –4) and (–1, 5)?
9514 1404 393
Answer:
9 units
Step-by-step explanation:
The graph shows a vertical line at x = -1, with points at y=-4 and y=5. The distance between the points is the difference of their y-coordinates:
5 -(-4) = 5+4 = 9
You can count the grid squares between the points, if you like.
The distance between the points is 9 units.
If post are space 5 feet apart and how many posts are needed for 60 feet of straight line fence
Answer:
12 posts are needed
Step-by-step explanation:
60 divided by 5 is 12
Sixty percent of all children in a school do not have cavities. The probability, rounded to four decimal places, that in a random sample of 9 children selected from this school, at least 6 do not have cavities is:
Answer:
Probability[Number of 6 random sample do not have cavities] = 0.8
Step-by-step explanation:
Given:
Number of student do not have cavities = 60%
Number of random sample = 9 children
Find:
Probability[Number of 6 random sample do not have cavities]
Computation:
n = 9
p = 60% = 0.6
P(At least 6)
Probability[Number of 6 random sample do not have cavities] = 1 - P(Less than 6)
Probability[Number of 6 random sample do not have cavities] = 1 - P(Less than or equal to 6)
Probability[Number of 6 random sample do not have cavities] = 0.8
The probability of 9 children selected from this school, at least 6 do not have cavities is 0.80.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Sixty percent of all children in a school do not have cavities.
The probability, rounded to four decimal places, that in a random sample of 9 children selected from this school, at least 6 do not have cavities will be
n = 9
p = 0.60
Then we have
[tex]\rm P = 1 - P(less \ than \ or \ equal \ 6)\\\\P = 0.8[/tex]
More about the probability link is given below.
https://brainly.com/question/795909
PLLLLLEASEEEEEEEED HELP IM BEGGING SOMEONE PLEASEEEEEEEEES
Answer:
The measure of angle D and A must be equal.
Step-by-step explanation:
ASA means angle-side-angle. So you must have two angles and the side between them be congruent to the other triangle. We already know Angle C and F are congruent and Side lengths AC and FD are congruent. So we just need the angles on the other side of the side lengths.
The sum of two numbers is 24.The difference of their square is 144.what are the two numbers?
Answer:
the answer to this question is 12 and 12
what type of number is the square root of -36 natural, whole, real or imaginary
Answer:
Imaginary
Step-by-step explanation:
after calculating the square root of 36, and "i" came after it indicating it was an imaginary number.
Find the measure of the arc or angle indicated.
9514 1404 393
Answer:
arc AC = 63°
Step-by-step explanation:
Arc BC is twice the measure of inscribed angle BAC, so is ...
arc AC = 2×89° = 178°
The remaining arc of the circle is the difference between 360° and the sum of the other two.
arc AC = 360° -119° -178°
arc AC = 63°
Can someone pls help me solve this .
can someone help me with this please
Answer:
B
Step-by-step explanation:
This is because the difference of two squares follows the general equation of (x-a)^2 - a^2 - c
Answer:
It's a
Step-by-step explanation:
[tex] \frac{1}{4} {x}^{2} - 1[/tex]
[tex]{( \frac{1}{2} x)}^{2} - {1}^{2} [/tex]
The table of values shows the number of touchdown passes that a quarterback threw in each of his first five football games of the season.
Game vs. Touchdown Passes
Game
Touchdown passes
1
3
2
1
3
3
4
2
5
3
Which would be a point on the scatterplot that represents touchdown passes based on these games played?
(1, 2)
(2, 4)
(3, 1)
(5, 3)
Answer:
D
Step-by-step explanation:
If x is the game number, and y is the amount of touchdown passes for that specific game number, then (5,3) represents the idea that the quarter back threw y = 3 touchdown passes for game number x = 5
So the answer is choice D. This is the only ordered pair that comes from the given table. Something like (2,4) isn't true because the quarterback threw 1 touchdown pass (not 4) in game two.
Answer:D
Step-by-step explanation:
Before it can be used, an 18-ounce container of liquid fertilizer must be mixed with 36 ounces of water. What fraction of fertilizer is in the final mixture? (type a simplified fraction)
Answer:
1/3
Step-by-step explanation:
18 oz fertilizer to 36 oz water will make 18+36 = 54 oz of liquid
18/54 , simplify by 2
9/27, simplify by 9
1/3
What is the slope-intercept equation of the line below?
5
-5
5
6
y-intercept= (0, -4)
slope = 3
Answer:
Step-by-step explanation:
Y-intercept of line is 14
slope of line = (0 - 14)/(10 - 0) = -14/10 = -7/5
Required equation is y = -7/5 x + 14
Answer:
y=3x-4
Step-by-step explanation:
The slope-intercept form of the equation of a line is written in y=mx+b
where m is the slope and b is the y-intercept
So in that form
y=mx+b becomes
y=3x-4 using your slope of 3 and y-intercept of -4
Hank is running sprints on a football field and likes to challenge himself, so instead of running straight down the field, he runs on the diagonal. Of the field is 50 yards wide and 100 yards long, how far does he run on the diagonal? Round your answer to the nearest yard.
Answer:
112 yards
Step-by-step explanation:
Applying Pythagoras theorem,
Pythagoras theorem states that, in a right angle triangle, the square of the hypotenuse is equal to the sum of the square of the two other sides.
Mathematically, it is expressed as
a² = b²+c²................. Equation 1
Where a = Length of the diagonal, b and c = lenght of the two other sides
From the question,
Given: b = 50 yards, c = 100 yards.
Substitute these values into equation 1
a² = 50²+100²
a² = 2500+10000
a² = 12500
a = √12500
a = 111.8
a = 112 yards
Alex flips a fair coin four times. What is the probability that he flips heads four times in a row?
1/16
the probability of flipping head on the first flip is 1/2
the probability of flipping head on the second flip is 1/2 of that, or 1/4
the probability of flipping head on the third flip is 1/2 of that, or 1/8
the probability of flipping head on the fourth flip is 1/2 of that, or 1/16
Teresa drove 792 miles in 11 hours. at the same rate, how many miles would she drive in 9 hours?
Answer:
648
Step-by-step explanation:
792/11 = 72x 9= 648 [ Correct me if I'm wrong! ]
Answer:
648 miles
Step-by-step explanation:
792 Divide by 11
72*9= 648
Find the area of Circle H
Answer:
The h and v represent the center of the circle at point (h, v), and r names the radius. Specifically, h represents the horizontal displacement — how far to the left or to the right the center of the circle falls from the y-axis.
Step-by-step explanation: