Answer:
2
Step-by-step explanation:
3−2(x+1)=2x−7
3+(−2)(x)+(−2)(1)=2x+−7(Distribute)
3+−2x+−2=2x+−7
(−2x)+(3+−2)=2x−7(Combine Like Terms)
−2x+1=2x−7
−2x+1=2x−7
Step 2: Subtract 2x from both sides.
−2x+1−2x=2x−7−2x
−4x+1=−7
Step 3: Subtract 1 from both sides.
−4x+1−1=−7−1
−4x=−8
Step 4: Divide both sides by -4.
−4x−4=−8−4
x=2
Jack drove to the train station and back. It
took two hours less time to get there than
it did to get back. The average speed on
the trip there was 40 km/h. The average
speed on the way back was 24 km/h. How
many hours did the trip there take?
Answer:
8hoursStep-by-step explanation:
let the time taken to get back be x
so that the time needed to go is (x-2)
we know that speed= distance/time
therefore the speed for the return is 24 km/h.
distance (return)= 24*x
distance (return)=24x
therefore the speed to the station is 40 km/h.
distance (return)= 40*(x-2)
distance (return)=40x-80
We know that the distance is the same
24x=40x-80
24x-40x=-80
16x=80
divide both sides by 16
x=5
the time taken to get back is x=5hours
the time taken to is x-2=(5-2)= 3hours
the total trip takes 3+5= 8hours
Solve for x and y:
x =
y =
Answer:
x = 15
y = 21
Step-by-step explanation:
*triangle sum theorem*
(6x - 11)° + (81)° + (x + 5)° = 180°
(7x - 6)° + (81)° = 180°
(7x)° + (75)° = 180°
(7x)° = (105)°
x = 15
________________
*vertical angle theorem* *triangle sum theorem*
(6x - 11)° + (4y - 18)° + (y + 14)° = 180°
^
|
15
(79°) + (4y + y) + (14 - 18)°
_________________________
(79)° + (5y - 4)° = 180°
(5y)° + (75)° = 180°
(5y)° = 105°
y = 21
Solve for y
w= x-y/2-z
Answer:
Step-by-step explanation:
2
what is 33.058 as a simplified fraction?
Answer:
[tex]\frac{16529}{500}[/tex]
Step-by-step explanation:
Convert to a mixed number by placing the numbers to the right of the decimal over 1000 . Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.
is 9.94 a rational number or a irrational
Answer:
it is a Rational number
Answer:
Rational
Step-by-step explanation:
Any number that can be written in fraction form is a rational number.
9.94 can be converted to [tex]9\frac{47}{50}[/tex]
1. Which of the following is irrational?
A)0.4
B)3. 125 bar
C) 0.2496
D ) 3.142968
Answer:
A hope this helps
Step-by-step explanation:
Answer:
A...
Step-by-step explanation:
hope this helps you
Is -4.8 a rational number
Answer:
Yes
Step-by-step explanation:
A number that can be made by dividing two integers (an integer is a number with no fractional part). The word comes from "ratio". Examples: • 1/2 is a rational number (1 divided by 2, or the ratio of 1 to 2)
-4.8 can be written as a fraction
Hope this helps!
-Jerc
Answer:
Yes!
Step-by-step explanation:
Rational numbers are any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions.
-4.8 is a terminating decimal, and thus, is a rational number!
Hope this helped you! If you liked my answer, please rate it and a Thanks would be nice, too!
Have a wonderful day!
Kipton takes the marshmallows off the scale. He then puts on 10 jellybeans and
then scale reads 12.0 grams. How much would you expect 1 jellybean to weigh?
Why?
Answer:
1.2grams per jelly bean
Step-by-step explanation:
10 times 1.2 is 12 grams beacuse you just move the decimal place over by one
I wish I...................to him yesterday?
had told
we use past perfect tense for wishes
for more dowload grammerly and check
what is the equation of the following graph
Answer:
[tex]y=-(x-2)^2-3[/tex]
Step-by-step explanation:
Equation of the Quadratic Function
The vertex form of the quadratic function has the following equation:
[tex]y=a(x-h)^2+k[/tex]
Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.
The graph provided in the question has two clear points:
The vertex, located at (2,-3)
The y-intercept, located at (0,-7)
Substituting the coordinates of the vertex, the equation of the function is:
[tex]y=a(x-2)^2-3[/tex]
The value of a will be determined by using the other point:
[tex]-7=a(0-2)^2-3[/tex]
Operating:
[tex]-7=a(4)-3[/tex]
[tex]4a=-4\Rightarrow a=-4/4[/tex]
Solving:
a=-1
The equation of the graph is:
[tex]y=-(x-2)^2-3[/tex]
the bakers at the healthy bakery can make 200 bagels in 10 hours how many bagels can they make in 24 hours
Answer:
480 bagels
Step-by-step explanation:
We can use a ratio to solve
200 bagels x bagels
------------------ = --------------
10 hours 24 hours
200 * 24 = 10x
Divide each side by 10
200 * 24/10 = 10x/10
480 =x
Answer:
480
Step-by-step explanation:
17'-0.39 Write each fraction as a percent 4. mla 3 10
Answer:
hmmmmmmmm
Step-by-step explanation:
yea i really dont know
Can someone help me?
Only 0.1% of the individuals in a certain population have a particular disease (an incidence rate of 0.001). Of those who have the disease, 95% test positive when a certain diagnostic test is applied. Of those who do not have the disease, 90% test negative when the test is applied. Suppose that an individual from this population is randomly selected and given the test: a) Calculate P(positive test) b) Calculate P(has disease | positive test)
We're given
P(has disease) = 0.001
P(positive test | has disease) = 0.95
P(negative test | does not have disease) = 0.90
(a) By the law of total probability,
P(positive test) = P(positive test AND has disease) + P(positive test AND does not have disease)
Recall that the probability of an event A conditioned on another event B is
P(A | B) = P(A AND B) / P(B)
so that
P(positive test) = P(positive test | has disease) * P(has disease) + P(positive test | does not have disease) * P(does not have disease)
P(positive test) = 0.95 * 0.001 + (1 - 0.90) * (1 - 0.001)
P(positive test) ≈ 0.10
(b) From the definition of conditional probability, we hvae
P(A | B) = P(A AND B) / P(B) = P(B | A) P(A) / P(B)
so that
P(has disease | positive test) = P(positive test | has disease) * P(has disease) / P(positive test)
P(has disease | positive test) = 0.95 * 0.001 / 0.10
P(has disease | positive test) ≈ 0.0094
The probability will be "0.017699".
Given:
Incident rate,
0.1% or 0.001[tex]P(D) = 0.001[/tex][tex]P(D')= 1-0.001[/tex][tex]= 0.999[/tex]
[tex]P(\frac{P}{D} ) = 0.95[/tex][tex]P(\frac{N}{D} ) = 0.9[/tex]Now,
→ [tex]P(\frac{N}{D'} ) = 1-P(\frac{N'}{D'} )[/tex]
[tex]= 1-0.95[/tex]
[tex]= 0.05[/tex]
then,
→ [tex]P(\frac{D}{N} ) = \frac{Pr(D)\times P(\frac{N}{D} )}{P(N)}[/tex]
or,
[tex]= \frac{Pr(D)\times P(\frac{N}{D} )}{P(D) \ P(\frac{N}{D} )+P(D') \ P(\frac{N}{D'} )}[/tex]
By substituting the above values, we get
[tex]= \frac{0.001\times 0.9}{0.001\times 0.9+0.999\times 0.05}[/tex]
[tex]= \frac{0.0009}{0.0009+0.04995}[/tex]
[tex]= \frac{0.0009}{0.05085}[/tex]
[tex]= 0.017699[/tex]
Learn more:
https://brainly.com/question/16972053
I have a few questions
Answer:
why didn't you ask the questions then?
(01.07) Solve 3(х+1) +6 = 33. (1 point) Я ооо
Answer:
x = 8
Step-by-step explanation:
Given
3(x + 1) + 6 = 33 ( subtract 6 from both sides )
3(x + 1) = 27 ( divide both sides by 3 )
x + 1 = 9 ( subtract 1 from both sides )
x = 8
Please help! Brainliest! How are the functions y = 2x2 and y = 2x2 + 7 related? How are their graphs related?
A. Each output for y = 2x2 + 7 is 7 less than the corresponding output of y = 2x2. The graph of y = 2x2 + 7 is the graph of y = 2x2 translated down 7 units.
B. Each output for y = 2x2 + 7 is 7 greater than the corresponding output of y = 2x2. The graph of y = 2x2 + 7 is the graph of y = 2x2 translated up 7 units.
Option B is correct.
We have the two equations -
[tex]y= 2x^{2}[/tex]
[tex]y=2x^{2} +7[/tex]
We have determine how are these functions related and how are their graphs related.
What type of conic section is represented by equation -y = [tex]$x^{2}[/tex] ?A parabola is represented by the equation y = [tex]$x^{2}[/tex].
According to the question, we have -
[tex]y= f(x) = 2x^{2}[/tex]
[tex]y=g(x)=2x^{2} +7[/tex]
Refer to the image attached for graphs.
Now -
g(x) - f(x) = [tex]2x^{2} +7-2x^{2}[/tex] = 7
Therefore - Each output for y = g(x) is greater than the corresponding output of y = f(x).
From the graph it is clear that the graph of y = g(x) is the graph of
y = f(x) translated up 7 units.
Hence, Option B is correct.
To solve more questions on functions and graphs, visit the link below -
https://brainly.com/question/2364381
#SPJ2
A fruit seller has 3 crates of apples. Each crate has 100 apples. If he packed 6 apples in 1 box. Which of these gives the number of such boxes needed to pack all the apples.
100 x 6
300x6
100 divided by 6
300 divided by 6
Answer:
300 divided by 6
Step-by-step explanation:
Given that;
Number of crates of apple owned by fruit seller = 3 crates
Number of apples in each crate = 100 apples
He packed 6 apples in 1 box;
Unknown:
Number of boxes needed to pack all the apples = ?
This problem is pretty straight forward;
Number boxes needed to pack all apples = [tex]\frac{Number of crates owned by fruit seller x number of apples per crate}{Number of apples per box}[/tex]
Input the parameters and solve;
Number of boxes need to pack all apples = [tex]\frac{100 x 3}{6}[/tex] = [tex]\frac{300}{6}[/tex]
So the solution is 300 divided by 6
1. Square of a Binomial
Symbols/Pattern:
(a + b)2 = a2 + 2ab + b2
(a - b)2 = 22 - 2ab + b2
In the pattern, if a is the first term and b is the last term, then the square
of a binomial consists of:
a) the square of the first term (a);
b) twice the product of the first and last terms (2ab); and
c) the square of the last term (54).
2. The product of the sum and difference of two terms
Need some help understanding this. I attached a picture showing the problem.
The dropdown options for the first and second questions are ," Multiply by, subtract, divide by, add.''
subtract 4
and
divide by -6
Hope it helps
If a = 9 mm and b = 12 mm what is side c of a right triangle using the
pythagorean theorem?
Answer:
15
Step-by-step explanation:
9^2+12^2=225
square root of 225 is 15
Find the midpoint of segment AB if A(3,2) and B(5, 10).
Answer:
=(1,3)
Step-by-step explanation:
this is the ans mark me as the brainliest
YALL COME PLAY WITH ME AMONG US ZSFNQQ
Answer:
OK lets do it
Step-by-step explanation:
Answer:
What?
Step-by-step explanation:
HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!
A can factory requires 2 sheets of metal to make 36 cans and 10 sheets of metal to make 180 cans. The proportionality constant between the number of cans made and the number of sheets of metal used is
.
Answer: 1 sheet of metal is equivalent to 18 cans
Step-by-step explanation:
If you divide 36/2 you get 18 and if you divide 180/10 you also get 18. So the proportionality of cans made to the number of sheets of metal used would be 1:18
Answer:
18
Step-by-step explanation:
1 sheet is equivalent to 18 cans it is simple just divide
How many boys are there in a group of 27 students if there are four-fifths as many girls as there are boys?
Answer:
15 boys
Step-by-step explanation:
There are 27 students. The number of girls is only 4/5 of the number of boys. I started by splitting the class. 14 boys and 13 girls doesn't work, so I changed it to 12 and 15. If it was 12 girls and 15 boys, the girls would have 4/5 of the boys, so it must be 12 girls and 15 boys.
What is the equation in point-slope form of the line that passes through the point
(-8, 5) and has a slope of 2?
Drag and drop the appropriate number, symbol, or variable to each box.
CITT
х
y
2
2
4
5
5
8
+
Answer:
y-5 = 2 (x + 8 )
simplified : y=2x+21
Step-by-step explanation:
(USE THE CIRCLE GRAPH BELOW.)
Magazine sales total $25,000.
Boating 10%
Sports 35%
Other 5%
Adult 20%
Teen 30%
How much more is made on Sports magazines than Teen magazines?
A. $5
B. $12.50
c. $1.25
D. $1250
E. $12,500
Answer:
b
Step-by-step explanation:
Answer:b
Step-by-step explanation:
help please it would be very much appreciated
Answer:
54 degrees
Step-by-step explanation:
4y-7=2y+11
2y=18
y=9
4(9)-7=25
2(9)+11=29
25+29=54
what graph below shows a proportional relationship between x and y.
what is the constant of proportionality y/x
Answer:
0.5
Step-by-step explanation
I'm sure.