[tex]\begin{cases}2x-9y=-51\\2x-3y=-9\end{cases}\\\\\\\begin{cases}(2x-9y)(-1)=-51(-1)\\2x-3y=-9\end{cases}[/tex]
[tex]\begin{cases}-2x+9y=51\\2x-3y=-9\end{cases}[/tex] (adding the second equation to the first one)
[tex]\begin{cases}\qquad6y=42\\2x-3y=-9\end{cases}\\\\\\\begin{cases}\qquad y=7\\2x-3y=-9\end{cases}\\\\\\\begin{cases}y=7\\2x-3(7)=-9\end{cases}\\\\\\\begin{cases}y=7\\2x-21=-9\end{cases}\\\\\\\begin{cases}y=7\\2x=12\end{cases}\\\\\\\begin{cases}x=6\\y=7\end{cases}[/tex]
need help on question 4??
HK consists of two part, HJ and JK
HK = HJ + JK
We know that:
HK = 12.2ft
JK = 3.1ft
HJ = ?
Let's plug our values into the equation above.
12.2ft = HJ + 3.1ft
Subtract 3.1ft from both sides.
9.1ft = HJ
PLEASE HELP I W WILL MARK YOU BRAINLIEST
Answer:
200 students
Step-by-step explanation:
Since there are 7 buses and 6 of them are full you would multiply 30•6. Then you would multiply 2/3 with 30 to find how many are on the 7th bus, which is 20. So you would add 180 and 20 to get the answer
The current value of a baseball card is 50 times its original value v (in dollars). The baseball card is worth $62. Write and solve an equation to find the original value of the baseball card
Answer:
50v
Step-by-step explanation:
The equation would be 50v, because $62 is the original value, or v, and we are trying to find the value of the card now. Which is now 50 times the original price, $62.
3.16 x 10 with the power of 3
Answer:
3160
Step-by-step explanation:
3.16 x 10^3
10^3 = 1000
so you move the decimal point three times to the right
I hope this helps
Answer:
3,160
Step-by-step explanation:
This is expressed in scientific notation. Since 3 is positive, that means the number is actually larger than 3.16, not smaller.
You would take
3.1600
and move the decimal point 3 spaces to the right
31.600
316.00
3160.0
3,160 is your answer
Hope this helps :-)
Ken’s prediction for December was –5°C. The actual low temperature was 3 degrees higher than his prediction. The actual low temperature in December was
Answer:
-2°C
Step-by-step explanation:
Add 3 to -5:
-5 + 3
= -2
So, the actual low temperature in December was -2°C
Answer:
-2
Step-by-step explanation:
i took the assignment
Jaylin's test grades in History class are: 92, 89, 85, 89, and 90. The semester final will count as IWULUI.
Jaylin needs to earn a grade of 90 or higher for the semester. What is the minimum score Jaylin can earn
on the final exam and receive a final grade of 90 for the semester?
Answer:
95
Step-by-step explanation:
Find the mean by adding all of it and dividing it by the total of numbers,so I did that and put an extra 95 and the mean was 90,Please give me brainliest if it help
Jaylin's test grades in History class → 92, 89, 85, 89 and 90
Let the marks achieved in the final semester = x
Total marks achieved = 92 + 89 + 85 + 89 + 92 + x
= 447 + x
Minimum or the average marks required in 6 semester = 90
Total marks required in 6 semesters = 90×6
= 540
447 + x = 540
x = 540 - 447
x = 93
Therefore, Jaylin should achieve minimum 93 marks in the last semester.
Learn more,
https://brainly.com/question/11153270
Round the following whole number to the nearest thousand.
9474
Answer:
9,000
Step-by-step explanation:
9474
Locate the thousands place:
9474
Check the number to the right:
9474
If the number is greater than or equal to 5, we round up. If the number is less than or equal to 4, we round down.
Since there is a '4', we round down.
9474 ≈ 9000
Hope this helps.
if bill payed 73.80 for 32 4/5 gallons of gas, how much did he pay per gallon
Answer:
$2.25
Step-by-step explanation:
73.80/32.8
Jae is constructing an open box from a piece of cardboard that is 9 in. wide and 12 in. long. He cuts squares of equal size from each comer of
the cardboard, as shown in the picture, and then folds up the sides of the box. Write and simplify a polynomial function V for the volume of the box in terms of x
Answer:
The polynomial function for the volume of the box ([tex]V[/tex]) in terms of [tex]x[/tex] is
[tex]V(x)= 108\cdot x -42\cdot x^{2}+4\cdot x^{3}[/tex].
Step-by-step explanation:
We present a representation of the specifications of the open box in a image attached below. The volume of the open box ([tex]V[/tex]), measured in cubic inches, is represented by this expression:
[tex]V = w\cdot h \cdot l[/tex]
Where:
[tex]w[/tex] - Width, measured in inches.
[tex]h[/tex] - Height, measured in inches.
[tex]l[/tex] - Length, measured in inches.
Polynomial functions in standard form are represented by the following form:
[tex]y = \Sigma_{i=0}^{n} c_{i}\cdot x^{i}[/tex]
Where:
[tex]n[/tex] - Order of the polynomial, dimensionless.
[tex]c_{i}[/tex] - i-th Coefficient, dimensionless.
[tex]x[/tex] - Indepedent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
If we get from figure that [tex]w = 12 - 2\cdot x[/tex], [tex]h = x[/tex] and [tex]l = 9 - 2\cdot x[/tex], then:
[tex]V = (12-2\cdot x) \cdot x \cdot (9-2\cdot x)[/tex]
[tex]V = (12\cdot x -2\cdot x^{2})\cdot (9-2\cdot x)[/tex]
[tex]V = 108\cdot x-18\cdot x^{2}-24\cdot x^{2}+4\cdot x^{3}[/tex]
[tex]V = 108\cdot x -42\cdot x^{2}+4\cdot x^{3}[/tex]
The polynomial function for the volume of the box ([tex]V[/tex]) in terms of [tex]x[/tex] is
[tex]V(x)= 108\cdot x -42\cdot x^{2}+4\cdot x^{3}[/tex].
The volume of a box is the amount of space the box can occupy.
The polynomial function is: [tex]\mathbf{V(x) = 4x^3 -42x^2 + 108x }[/tex]
The dimension of the cardboard is given as:
[tex]\mathbf{Length = 12}[/tex]
[tex]\mathbf{Width = 9}[/tex]
Assume the size removed from the box is x
The dimension of the box becomes
[tex]\mathbf{Length = 12 -2x}[/tex]
[tex]\mathbf{Width = 9 -2x}[/tex]
[tex]\mathbf{Height = x}[/tex]
So, the volume (V) of the box is:
[tex]\mathbf{V = Length \times Width \times Height}[/tex]
Substitute known values
[tex]\mathbf{V = (12 -2x) \times (9 - 2x) \times x}[/tex]
Open brackets
[tex]\mathbf{V = (12 -2x) \times (9x - 2x^2)}[/tex]
Open brackets
[tex]\mathbf{V = 108x -24x^2 - 18x^2 + 4x^3}[/tex]
[tex]\mathbf{V = 108x -42x^2 + 4x^3}[/tex]
Rewrite as:
[tex]\mathbf{V = 4x^3 -42x^2 + 108x }[/tex]
Express as a function
[tex]\mathbf{V(x) = 4x^3 -42x^2 + 108x }[/tex]
Hence, the polynomial function is:
[tex]\mathbf{V(x) = 4x^3 -42x^2 + 108x }[/tex]
Read more about volumes and functions at:
https://brainly.com/question/1758167
I need help with this solving equations X + 9 = -16
Answer:
Step-by-step explanation:
x + 9 = -16
Subtract 9 form both sides
x + 9 - 9 = - 16 - 9
x = -25
Answer:
X= -25
Step-by-step explanation:
Subtract 9 from both sides.
A diesel train traveled to Las Vegas and back. The trip there took ten hours and the trip back took 14 hours. It averaged 60 mph on the return trip. Find the average speed of the trip there.
If the area of a square room is 100 square meters, what is the length of one side of the room in meters?
Answer:
10 meters
Step-by-step explanation:
Area of a square is represented by the following formula:
A= s²
Plug in your area and solve.
√100 m² =√ s² (square both side)
10 m² = s
Thus, your one side length is 10
The price of an item has been reduced by 55%. The original price was $53. what is the price now
Answer:
$29.15
Step-by-step explanation:
Step 1:
$53 × 55%
Step 2:
53 × 0.53
Answer:
29.15
Hope This Helps :)
20% of the gummy bears in a bag are blue. There are 12 blue gummy bears in the bag. Shade the grid to show the percent of gummy bears that are blue. How many gummy bears are in the bag?
Answer:
60 gummy bears in total
Step-by-step explanation:
20% of the gummy bears are blue.
12 gummy bears are blue
That means 6 gummy bears is 10% of the total.
6*10=60
100%=60 gummy bears.
answerrrrrrrrrrrrrrr pleaswe correctly.
Hey There!!
The answer to this is: A.
the line will cross the y intercept at 6 therefor the only option that has 6 is the first one the slope will be 1/2
Hope It Helped!~
Good Luck With Your Assignment!~
[tex]UsedLess[/tex]~
(^///^)
derive f=ma solve 9.1
Answer:
I hope it helped you and you understood it.
Answer:
we know that,
Force is directly proportional to rate of change of momentum.
→ F [tex]\propto[/tex] (Pv - pu)/t
→ F = k p (v - u)/t
→ F = k p a
Here, body must have some mass.
→ F = ma
Derived.
Asher please $156 every six weeks for piano lessons what is the price per year for piano lessons
A box can hold 9 books. There are only 5 books in the box. What percentage of the box is full? 56% 80% 1.8% 44%
Answer:
I do believe that the answer would be 56%
Step-by-step explanation:
Using estimation if the box is half full it would have 4.5 books in the box, if you add that extra book it would be around 56%
which segment is longer, please explain
Answer:
Blue, if you look, they both are close, but due to the pathagrium theory blue is longer.
Step-by-step explanation:
Answer:
Red is longer
Step-by-step explanation:
With the distance equation formula, you can find this. The distance equation formula is d=[tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2} } \\[/tex]. (x1,y1)(x2,y2) are the coordinates of each individual point.
If you turn the grid into a graph, red's points would be (0,0)(3,3)
Blue's points would be (0,3)(-1,-1). Using the distance formula blue is [tex]\sqrt{17}[/tex].
The red is [tex]\sqrt{18}[/tex], so red is longer.
NEED EXPLANATION AND PROCESS!!!
Answer:
x = 133
y = 43
Step-by-step explanation:
x + 47 = 180
so x is 133
47 + y = 90
so y is 43
how do i solve this? 12x÷100+35000minus 14x ÷100
Answer:
-2x/100 + 35
Step-by-step explanation:
Step 1:
12x ÷ 100 + 35,000 - 14x ÷ 100
Step 2:
- 2x ÷ 100 + 35,000 ÷ 100
Step 3:
- 2x ÷ 100 + 35
Answer:
- 2x/100 + 35
Hope This Helps :)
Solve for X X - 24 = 73 Question 6 options: 49 97 47 95
Answer:
x = 97
Step-by-step explanation:
X - 24 = 73
Add 24 to each side
X - 24+24 = 73+24
x = 97
[tex]\text{Hello! :D}[/tex]
[tex]\large\boxed{x = 97}[/tex]
[tex]\text{x - 24 = 73}[/tex]
[tex]\text{Solve for x by adding 24 to both sides:}[/tex]
[tex]x- 24 + 24 = 73 + 24\\\\x = 97[/tex]
can you please simplify -2x-8x
Answer:
- 10x
Step-by-step explanation:
Step 1:
-2x - 8x
Answer:
- 10x
Hope This Helps :)
you need to write an essay that has no more than 500 words. you have written 285 words so far. write and solve an inequality that represents the number of words (w) that you could still write.
Answer:
Step-by-step explanation:
w≤500-285
can someone please help me
Answer:
I and II
Step-by-step explanation:
I: 10 is less than or equal to 2(11) - 1
10 <= 22 - 1
10 <= 21
10 is less than or equal to 21
solution
II: 10 is less than or equal to 2(8) - 1
10 <= 16 - 1
10 <= 15
10 is less than or equal to 15
solution
III: 10 is less than or equal to 2(3) - 1
10 <= 6 - 1
10 <= 5
10 is not less than or equal to 5
not a solution
A baker needs 2 pounds of flour and 3 sticks of butter to
make 64 cupcakes. At these rates, how many pounds of
flour and how many sticks of butter would the baker
need to make 352 cupcakes?
Answer:
11 pounds of flour and 16.5 sticks of butter
Step-by-step explanation:
2/64 = 0.03125
3/64 = 0.046875
0.03125 * 352 = 11
0.046875 * 352 = 16.5
Answer:
15 1/2 sticks of butter, and 11 pounds of flower, hoped this helped.
Step-by-step explanation:
a profit of 9$ integer
Answer:
+ or - $9
Step-by-step explanation:
An airplane can fly at a rate of 600 miles per hour. How fast does an airplane travel per minute? Remember, there are 60 minutes in an hour.
Answer:
10 miles per hour I'm not sure tho just trying to help :)
Step-by-step explanation:
try to divide
Answer:
10
Step-by-step explanation:
600mph= 10miles/min
2a + 2b = c for b
Solve for b
2a + 2b = c
Subtract 2a from both sides
2b = -2a + c
Divide both sides by 2
b = -a + (c/2)
Help? =/
I'm not sure what's it's about.
Answer:
the answer is the 2nd one
Step-by-step explanation: