Answer:
Let's say we have this equation, for example⤵⤵⤵:
[tex]12 - 6(x + 10) = 60[/tex]
You obviously know that first you must distribute -6 amongst everything inside the parenthesis, and that will give you -6x - 60. Then you'd rewrite the equation with this in mind, to get
12 - 6x - 60 = 60
Next, you need to combine the like terms, in this case 12 and -60, to get -48. Now you have
-6x - 48 = 60
Afterwards, you'd do the opposite of -48 and add it on both sides of the equal sign. Now you'll have -6x = 108
Finally, you'd divide -6 on both sides, in order to get x by itself, to get x = -18
Hopefully, this example/explanation helps you understand the concept better :)
What percent is equivalent to mo? 05% 6% 20% 25%
Answer:
5%
Step-by-step explanation:
Please fill in this graph for brainliest. EASY:):):)
Answer:
Rounded up percentages:
Corn: 15.65%
Green Beans: 16.52%
Tomatoes: 6.96%
Carrots: 13.04%
For exact percentages divide this with a calculator:
Corn: 360/2300
Green Beans: 380/2300
Tomatoes: 160/2300
Carrots: 300/2300
I need help with question 19
Answer:
D
Step-by-step explanation:
Rotating 270 puts you in the 4th quadrant.
(Due in 20 minutes!)
1. Jack works after school. Each day he earns a set amount, plus an hourly wage. Write a linear function f Jack can use to determine his pay.
Hours 1, 1.5, 2, 2.5, 3
Pay 18, 23, 28, 33, 38
f(x) = 10x + 8
2. I need to know which is a reasonable domain for how many hours Jack can work after school each day
A. 0 < x < 6
B. 0 < x < 24
C. 0 < x < 68
D. 0 < x < 248
3. Last part of this problem is to assume Jack works 4.5 hours. Use your function from question 1 to find how much he gets paid.
Answer:
1.5
18 and 33
Step-by-step explanation:2.
c
help please and thank you
Answer:
Function: c = 2(m) + 5
A: Jason will spend $11 because 2(3) + 5 = (6 + 5) =11
B: No, because 2(7) + 5 = (14 + 5) = 19 and he only has 15 dollars.
Step-by-step explanation:
Cost = $2(the rate per mile) x (M)(miles driven) plus $5 (base cost)
For A and B I solved using the function.
its a timed testttt Do all five get brainliest fifty points and ill do any dare you want lol
3/5(x−7/10)=−3 1/4
5(x−3 3/4)=7 1/2
−1/5(x+1 3/4)=−2 1/2
−3/4(x+2)=6
2/5(−3.6−x)=5
Answer:
1. x=-283/60
2. x=21/4
3. x=43/4
4. x= -10
5. x= -16.1
Step-by-step explanation:
Today, 8 friends went out for lunch. Their total bill was $37.92, including tax and gratuity. They decided to split the bill equally and each paid with a $10 bill.
How much money will each person get back
Answer:
$37.92+$10=$27.92
so a money will each person get back is $27.92
solve by substituting, show work
2x-3y=4
2x+8=11
Answer:
x=1.5 y=-1/3
Step-by-step explanation:
2x-3y=4
2x+8=11
Let's subtract 8 from both sides of the second equation:
2x=3
x=1.5
Substituting this into the first equation, we get:
2(1.5)-3y=4
3-3y=4
-3y=1
y=-1/3
Write a function to represent the set of ordered pairs.{(2, -8), (3, -18), (4, -32), (5, -50)}
A) f(x) = -4x
B) f(x) = -2x2
C) f(x) = x - 10
D) f(x) = -8x2
Mr.senger treats his best class of 25 scholars with ice cream , the ice cream for each student costs $3. How much did Mr. senger pay for all the ice cream?
Answer:
Step-by-step explanation:
Help Pleasee ASAP !!
Answer:
X= 65
Y= 120
Step-by-step explanation:
3y +235 = y-5
2y +235 = - 5
2y = 240
Y = 120
2x - 60 = x-5
X - 60 = - 5
X = 65
7.21. For a group of 100 people, compute a. the expected number of days of the year that are birthdays of exactly 3 people; b. the expected number of distinct birthdays.
The expected number of a dataset is the mean of the dataset
The expected number of selection is: [tex]\mathbf{E(x) =365\times ^{100}C_3 \times \frac{1}{365}^3 \times \frac{364}{365}^{97}}[/tex]The expected number of distinct birthdays is: [tex]\mathbf{E(x) = 365\times (1 - (\frac{364}{365})^{100})}[/tex]The given parameters are:
[tex]\mathbf{n = 100}[/tex] --- sample size
[tex]\mathbf{r = 3}[/tex] --- selection of 3 people
(a) The expected number of birthdays
The probability of a having a birthday on a certain day is:
[tex]\mathbf{p = \frac{1}{365}}[/tex]
The probability of not having a birthday on the day is:
[tex]\mathbf{q = \frac{364}{365}}[/tex]
For a selection of 3 people in 100, the expected number of selection is:
[tex]\mathbf{E(x) =Days \times ^{100}C_3 \times p^3 \times q^{100 - 3}}[/tex]
So, we have:
[tex]\mathbf{E(x) = Days \times ^{100}C_3 \times \frac{1}{365}^3 \times \frac{364}{365}^{100 - 3}}[/tex]
Rewrite as:
[tex]\mathbf{E(x) =Days \times ^{100}C_3 \times \frac{1}{365}^3 \times \frac{364}{365}^{97}}[/tex]
There are 365 days in a year.
So, the expression becomes
[tex]\mathbf{E(x) =365\times ^{100}C_3 \times \frac{1}{365}^3 \times \frac{364}{365}^{97}}[/tex]
(b) Expected number of distinct birthdays
The probability that a person from the has his birthday on a certain day is:
[tex]\mathbf{p = 1 - (\frac{364}{365})^{100}}[/tex]
For 365 days, the expected number of distinct birthdays is:
[tex]\mathbf{E(x) = Days \times (1 - (\frac{364}{365})^{100})}[/tex]
There are 365 days in a year.
So, the expression becomes
[tex]\mathbf{E(x) = 365\times (1 - (\frac{364}{365})^{100})}[/tex]
Read more about expected values at:
https://brainly.com/question/22097128
How many ways can you arrange 2 letters from the word S Q U A R E
Answer:
30
Step-by-step explanation:
WE use permutation for this question:
since the letters in SQUARE are all distinct, so:
[tex]^{6}P_{2} = 6*5=30[/tex]
The number of ways of arranging 2 letters from the word S Q U A R E is given by A = 15 ways
What are Combinations?The number of ways of selecting r objects from n unlike objects is given by combinations
ⁿCₓ = n! / ( ( n - x )! x! )
where
n = total number of objects
x = number of choosing objects from the set
Given data ,
Let the number of ways of arranging 2 letters from the word S Q U A R E be represented as A
Now , to select 2 letters from the 6 letters in the word SQUARE, without regard to order.
This is a combination problem, since the order in which we select the letters does not matter. Therefore, we can use the formula:
6 C 2 = 6! / 2!(6 - 2)!
= 6 x 5 / (2 x 1) x (4 x 3 / (2 x 1))
= 15
Hence , there are 15 ways to arrange 2 letters from the word SQUARE
To learn more about combinations click :
https://brainly.com/question/28065038
#SPJ2
Please help me I don’t understand this
Answer:
14/15
Step-by-step explanation:
9/15+5/15=14/15
3/5+1/3
common denominator is 15 ( just think about the 3 times table and 5 times table )
5*3=15
3*5=15
Multiply the denominator and numerator by 3 for 3/5
Multiply the denominator and numerator by 5 for 1/3
(3)(3)/(5)(3) +(1)(5)/3(5)
9/15+5/15= 14/15
Answer : 14/15
Find the perimeter of a rectangle with length 11xm and it’s area is 99cm2
Answer:
40cm :)
Step-by-step explanation:
In the diagram below, R is located at (24,0), N is located at (12,18), T is located at (12,6), and E is located at (18,15). Assume that N,K,T,E,I, and B are midpoints. Complete the following table. Vertices S K I B A Coordinates
The midpoint of a segment divides the segment into equal halves
The coordinates of K are: [tex]\mathbf{K = (12,12)}[/tex]The coordinates of I are: [tex]\mathbf{I = (24,24)}[/tex]The coordinates of B are: [tex]\mathbf{B = ( 30,33 )}[/tex]The given parameters are:
[tex]\mathbf{R =(24,0)}[/tex]
[tex]\mathbf{N =(12,18)}[/tex]
[tex]\mathbf{T =(12,6)}[/tex]
[tex]\mathbf{E =(18,15)}[/tex]
K is the midpoint of N and T.
So, we have:
[tex]\mathbf{K = (\frac{N_x + T_x}{2},\frac{N_y + T_y}{2})}[/tex]
This gives
[tex]\mathbf{K = (\frac{12 + 12}{2},\frac{18+ 6}{2})}[/tex]
[tex]\mathbf{K = (12,12)}[/tex]
E is the midpoint of T and I.
So, we have:
[tex]\mathbf{E = (\frac{I_x + T_x}{2},\frac{I_y + T_y}{2})}[/tex]
This gives
[tex]\mathbf{(18,15) = (\frac{I_x + 12}{2},\frac{I_y+ 6}{2})}[/tex]
Multiply through by 2
[tex]\mathbf{(36,30) = (I_x + 12,I_y+ 6)}[/tex]
By comparison
[tex]\mathbf{I_x + 12 = 36.\ I_y + 6 =30}[/tex]
So, we have:
[tex]\mathbf{I_x= 24.\ I_y =24}[/tex]
Hence, the coordinates of I are:
[tex]\mathbf{I = (24,24)}[/tex]
I is the midpoint of E and B.
So, we have:
[tex]\mathbf{I = (\frac{E_x + B_x}{2},\frac{E_y + B_y}{2})}[/tex]
This gives
[tex]\mathbf{(24,24) = (\frac{18 + B_x}{2},\frac{15 + B_y}{2})}[/tex]
Multiply through by 2
[tex]\mathbf{(48,48) = (18 + B_x,15 + B_y)}[/tex]
By comparison
[tex]\mathbf{18 + B_x = 48,\ 15 + B_y = 48 }[/tex]
So, we have:
[tex]\mathbf{B_x = 30,\ B_y = 33 }[/tex]
Hence, the coordinates of B are:
[tex]\mathbf{B = ( 30,33 )}[/tex]
Read more about midpoints at:
https://brainly.com/question/18068617
Find the slope.
-2,15
0,3
4,-21
8,-45
Answer:
do you remeber the slope formula
y2 - y1 / x2 - x1
so pick two points from those 4 points ill pick -2,15 and 0,3
so 3 - 15 / 0 - 2 gives us -12/-2 or a slope of 6/1 or just 6
_______ can be a factor in changing body composition for women between the ages of 20 and 40, with an estimated 40 percent of women gaining excessive weight.
Pregnancy can be a factor in changing body composition for women between the ages of 20 and 40, with an estimated 40 percent of women gaining excessive weight.
Body composition is affected by all the changes a body undergoes. Some may result in positive, while other in negative as side effects.
For a women between age group 20 to 40 face weight gaining problem. Generally this is becuse mostly women are pregnant during this age group and due to the biological changes occured during pregnancy may result in weight gain as a side effect to most of them.
Thus, Pregnancy can be a factor in changing body composition for women between the ages of 20 and 40
Learn more about body composition, here:
https://brainly.com/question/2362580
#SPJ4
What is 5×(4×2) the product of it
Answer:
40
Step-by-step explanation:
4x2=8
8x5=40
What is x? (Triangle Theorems)
1. x = 54
2. x = 9
3. x = 24
4. x = 144
Answer:
2. x = 9
Step-by-step explanation:
The sum of the measures of the angles of a triangle is 180°.
6x + 16 + 90 + 20 = 180
6x + 126 = 180
6x = 54
x = 9
Answer: 2. x = 9
30 exceeds three times a number by 89 what is the number
Answer:
19.66
Step-by-step explanation:
Let x represent our unknown number
Okay so it's basically saying that 30 is greater than 3x by 89
We would represent that mathematically by:
30 - 89 = 3x
So then we just solve this like we usually would
30 - 89 = -59
-59 [tex]\div[/tex] 3 = 19.666. . .
Hope this helps:)
x -10 -3 4 11
y 1 6 30 120
Is the relationship linear, exponential, or neither?
Answer: Option C, neither.
Step-by-step explanation:
Here we have the table:
x: -10 -3 4 11
y: 1 6 30 120
This means that if our function is f(x), then:
f(-10) = 1
f(-3) = 6
f(4) = 30
f(11) = 120
We want to know if this represents a linear equation or an exponential equation or neither.
First, let's try with a linear equation.
We know that a linear equation can be written as:
f(x) = a*x + b
Then let's input the known values and let's see if this equation works.
We can use two of the known points to get:
f(-10) = 1 = a*-10 + b
f(4) = 30 = a*4 + b
With these equations, we can find the value of a and b, once we find these values, we can see if the equation also works for the other two points.
1 = a*-10 + b
30 = a*4 + b
First, we need to isolate one of the variables in one of the equations.
I will isolate b in the first one:
b = 1 + a*10
Now we can replace this in the other one to get:
30 = a*4 + 1 + a*10
30 = 1 + a*14
30 - 1 = a*14
29 = a*14
29/14 = a = 2.07
and using the equation b = 1 + a*10 we can find the value of b:
b = 1 + 2.07*10 = 1 + 20.7 = 21.7
Then the equation we get is:
f(x) = 2.07*x + 21.7
Now we need to see if this works for the other two points:
for x = -3, we need to get: f(-3) = 6
f(-3) = 2.07*-3 + 21.7 = 15.49
We did not get the value we expected, then we already know that the relationship is not linear.
Now let's see if the relationship can be exponential.
An exponential function is written as:
f(x) = A*(r)^x
Let's do the same as above, let's use two of the known points to find the values of A and r
f(-3) = 6 = A*(r)^(-3)
f(4) = 30 = A*(r)^4
Now we have the system of equations:
30 = A*(r)^4
6 = A*(r)^(-3)
If we take the quotient of these two equations, we get:
(30/6) = (A*(r)^4)/( A*(r)^(-3))
5 = (r^4)*r^3 = r^(4 + 3) = r^7
(5)^(1/7) = r = 1.258
And the value of A is given by:
30 = A*(1.258)^4
30/( (1.258)^4 ) = 11.98
Then the exponential equation is something like:
f(x) = 11.98*(1.258)^x
Now let's see if this equation also works for the other two points:
for x = -10, we should get f(-10) = 1
Let's see that:
f(-10) = 11.98*(1.258)^(-10) = 1.2
And for x = 11 we should get f(11) = 120
f(11) = 11.98*(1.258)^(11) = 149.6
So we get values closer to the ones we should get, but not the exact ones, so this is not an exponential relation.
Then the correct option is C, neither.
1,868 to the nearest hundred
Answer: 1,900
Step-by-step explanation:
You would round up to 1,900 because in the tens place is a 6 and when you have a number greater than or equal to 5 you round up. Hope this helps!
(8,5), (-2,7), (12, -3), (9,-5). (18,4) Which numbers are input values of the function? Select all that apply. 9,4,-3,-2,8
Answer: Input values are 8,-2,12,9, and 18, so select 9 and -2.
Which points are separated by a distance of 6 units? O A. (3, 2) (3,9) O B. (1,5) (1,3) O C. (2,7) (2, 1) O D. (4,1) (4,6)
Explanation:
The x coordinates are the same, so we subtract the y coordinates
7-1 = 6
This shows the points have a distance of 6 units. You can plot the two points and count the numbers of spaces between them to confirm this.
Two sisters share a lottery win of $1,400,000. If
they split it by the ratio of 3:4, how much does
each sister get?
Answer:
$600,000:$800,000
Step-by-step explanation:
8th-grade math need help asap
Answer:
C
Step-by-step explanation:
-5(x - 19) ≤ -6 + 2x Remove the brackets on the left
-5x +95 ≤ -6 +2x Add 5x to both sides.
95 ≤ -6 + 2x +5x combine
95 ≤ -6 + 7x Add 6 to both sides
101 ≤ 7x Divide by 7
101 /7 ≤ x
What you do next is both tricky and time consuming. You have to get x on the left and the fraction on the right. So subtract x from both sides. And subtract 101/7 from both sides. They both become minus.
101/7 - 101/7 ≤ -101/7 + x
0 ≤ -101/7+ x Now subtract x from both sides
-x ≤ -101/7 + x -x
-x ≤ -101/7
Now comes the really nasty part. You have to get x > 0 and -101/7>0 That's easy enough. You just multiply both sides by -1
x ≤ 101/7
But when you do that (and this where you have to pay attention) the ≤ becomes ≥
x≥ 101/7
PLS HELP WILL MARK BRAINLIEST, PLS HURRY
Answer:
b) I think. sorry if its wrong.
Step-by-step explanation:
what is the product of 8/6 x 6/4?
Answer:
2
Step-by-step explanation:
8*6 = 48 / 6* 4 = 24
So we would get 48/24.
Now we simplify so 48/24 would simplify to 2.
So the answer is 2.
round to 1 decimal place
0.212
Answer:
2.12
Step-by-step explanation:
0.212=move the decimal point in 1 time
=2.12