Answers
Answer:
11
Step-by-step explanation:
Rewrite expression using given information:
20 - 3a + 2b = 20 - 3*7 + 2*6
20 - 21 + 12 = 11
Related Questions
How to factor 3x³+3x²-36
Answers
Answer:
[tex]3(x - 2) (x^2 + 3x + 6)\\[/tex]
Step-by-step explanation:
Firstly, divide all parts of the equation by 3:
[tex]3x^3 + 3x^2-36[/tex]
[tex]3(x^3 + x^2-12)[/tex]
Now focus on the equation:
[tex]x^3 + x^2-12[/tex]
We know that the equation can be factored using x so we know that (x +- unknown) is the factor. We need to find the easiest way to factor this, lets find the factors of 12:
1 12
2 6
3 4
1 and 12 won't work so let's try 2 and 6, initially start as a negative 2:
[tex]\frac{ x^3 + x^2 - 12}{x - 2}[/tex] = [tex]x^2 + 3x + 6[/tex]
We can confirm this is simplified by multiplying together:
[tex](x - 2) (x^2 + 3x + 6)[/tex]
[tex]x* x^2 = x^3\\x * 3x = 3x^2\\x * 6 = 6x\\-2 * x^2 = -2x^2\\-2 * 3x = 6x\\-2 * 6 = -12[/tex]
= [tex]x^3 + x^2 - 12[/tex]
Meaning it is simplified.
Now, put the equations together:
[tex]3(x - 2) (x^2 + 3x + 6)\\[/tex]
Hope this helps!
In the equation 4x² - 16x + 12 = 0, the solution is?
Answers
Hope this helps<3
Answer:
x = 3 or x = 1Step-by-step explanation:
[tex] {4x}^{2} - 16x + 12 = 0 \\ {4x}^{2} - 4x - 12x + 12 = 0 \\ 4x(x - 1) - 12(x - 1) = 0 \\ (4x - 12)(x - 1) = 0 \\ [/tex]
(4x - 12) = 0 or (x - 1) = 0
[tex](4x - 12) = 0 \\ 4x - 12 = 0 \\ 4x = 0 + 12 \\ 4x = 12 \\x = \frac{12}{4} \\ x = 3 \\ [/tex]
[tex](x - 1) = 0 \\ x - 1 = 0 \\ x = 0 + 1 \\ x = 1[/tex]
x = 3 or x = 1 should be.
Three cubes with volumes 8 cm3, 27 cm3 and 64 cm3 are glued together to form a solid figure. What the least possible surface area (cm2) of the solid figure?
Answers
Answer:
148 cm²Step-by-step explanation:
The cubes have sides of 2 cm, 3 cm and 4 cm respectively.
Their face area of the cubes is 4 cm², 9 cm² and 16 cm² respectively.
Total surface area of each cube is:
Side 2 cm - 6*(2*2) = 24 cm², Side 3 cm - 6*(3*3) = 54 cm², Side 4 cm - 6*(4*4) = 96 cm².Total of three cubes:
24 + 54 + 96 = 174 cm²When you glue the cubes together you lose an area equal to double face area of the smaller cube from the total surface area.
Possible decrease, provided full faces area covered:
2 cm cube with the other two ⇒ loss of four 2x2 faces 4*4 = 16 cm²3 cm or 4 cm cube with the other two ⇒ loss of two 3x3 and two 2x2 faces 2(9+4) = 26 cm²The least possible surface area is:
174 - 26 = 148 cm²3Cubes :
Volume = 8cm³ ==> r = 2cmVolume = 27cm³ => r = 3cmVolume = 64cm³ => r = 4cmSoo :
Volume - 1 = 6 × 2² = 6 × 4 = 24cm²
Volume - 2 = 6 × 3² = 6 × 9 = 54cm²
Volume - 3 = 6 × 4² = 6 × 16 = 96cm²
Totals = 24 + 54 + 96 = 174cm²[tex] \: [/tex]
surface area = 174 - 2(3² + 2²)
surface area = 174 - 2(9 + 4)
surface area = 174 - 2(13)
surface area = 174 - 26
serface area = 148cm²
[tex] \: [/tex]
-HayabusaBrainly
(Modified ex que Two years ago, Kim Ean invested RMP in her account which earns r% simple interest. After 18 months, she noticed that the amount had become RM10,450 and today the amount is RM10,600. Find the value of P and R.
Answers
Answer:
r= 3% P=10k
using formula S=P(1+rt)
substitute 2 diff range time and it will form 2 equation. To find r u need to divide those 2 equation. after finding r u can find P by substitute the value of r in either one of those equation. hope it can helps you
.45, .75, .5, .625 in greatest to least
Answers
Answer:
0.75, 0.625, 0.5, 0.45
Step-by-step explanation:
Answer:
0.75, 0.625, 0.5, 0.45
Step-by-step explanation:
What do I put in the box?? Do I skip count?
Answers
Answer:
skip count by 2 on was and skip count by 6 on the butter
Step-by-step explanation: 2x5=10 6x5=30
the butter 6,12,18,24,30
Please i need urgent right answer
Answers
Answer:
260°Step-by-step explanation:
Find the missing angles:
m∠CDE = 360 - 312 = 48m∠DCG = 180 - m∠CDE = 180 - 48 = 132 Consecutive interior anglesm∠BCG = 180 - m∠BCG = 180 - 52 = 128 Consecutive interior anglesFind x:
x = m∠BCG + m∠DCG = 132 + 128 = 260°need help with this algebra ii question
Answers
The parabola crosses the x-axis at x = 1 and x = -3.
x - 1 = 0
x = 1
x + 3 = 0
x = -3
b = 3
Hope this helps!! :)
What equation is graphed?
Answers
0.28÷0.007please answer me
Answers
Answer:
40
Step-by-step explanation:
0.28÷0.007
=280÷7
=40
_________
[tex] \: [/tex]
0,28 ÷ 0,007 = ...
[tex] = \frac{28}{100} \div \frac{7}{1.000} [/tex]
[tex] = \frac{28}{100} \times \frac{1.000}{7} [/tex]
[tex] = \frac{28.0 \cancel{00}}{7 \cancel{00}} [/tex]
[tex] = \frac{280}{7} [/tex]
[tex] \longmapsto \boxed{ \bold{ \red{40}}}[/tex]
103.468 round this to the nearest liter
Answers
Answer:
103
Step-by-step explanation:
So the .4 in the tenths place is less than 5 it is rounded down/stays the same so its 103
Hope this helps!!
Have a nice day! :D
A bag of M&M’s has 7 red, 2 green, 3 blue, and 8 yellow M&M’s. What is the probability of randomly picking: (Round to 4 decimal places)
Answers
Answer:
Y = 40%
R or G = 25%
O = 0%
Step-by-step explanation:
Total M&M's = 7+2+3+8 = 20
PY = 8/20 = .4 or 40%
P(R or G) = (2+3)/20 = 5/20 = .25 = 25%
PO = 0/20 = 0%
The increasing on the intervals
The decreasing on the intervals
Answers
PLEASE HELP ME
How would Newton’s second law of motion impact the fitness routine of someone who is significantly overweight? Is there any type of fitness activity that a significantly overweight person could do where Newton’s second law of motion would not be a factor?
Answers
9514 1404 393
Explanation:
Newton's second law relates force, mass, and acceleration. For the same acceleration, more force is required to change the motion of more mass.
(a) Any fitness routine where velocity changes are involved will be impacted by Newton's second law. A significantly overweight person would have to expend significantly more energy to achieve the same changes of motion in the same period of time.
(b) Any fitness routine in which changes of speed or direction at a specific rate are not required will not be impacted by Newton's second law. These might be Tai Chi routines, weight lifting, or any other routines in which speed of completing a cycle of motion is not a factor.
758 rounded of to the nearest hundred
Answers
Answer:
800
Step-by-step explanation:
Hope this helps
Answer:
800, if it's higher than 50 you can round it to the next hundred
At a charity fund-raiser, adult tickets were sold for $8 each and children's tickets were sold for $3 each. Write an algebraic
expression for the total amount of money raised from the sale of tickets. How much money was raised if the fundraiser sold
240 adult tickets and 378 children's tickets?
Answers
Based on the cost of the adult tickets and the children's ticket, the expression that can find the amount raised is 8x + 3y.
Also if those number of tickets were sold, the amount realized would be $3,054.
The total amount raised can be found as:
= (Number of adult tickets x price of adult tickets) + (Number of children's tickets x price of children's tickets)
Assuming the adult tickets are x and the children's tickets are y, the equation would be:
= (x × 8) + (y × 3)
= 8x + 3y
If 240 adult tickets and 378 children's tickets are sold, the amount realized would be:
= 8x + 3y
= (8 x 240) + (3 x 378)
= $3,054
In conclusion, the relevant expression is 8x + 3y and the amount raised would be $3,054.
Find out more at https://brainly.com/question/7268387.
Please help I’m timed thank you!!!
Answers
Answer:
BAP=12
ABP=32.5
BCP=45.5
A parallel line is a _____ of the original line
rotation
translation
Answers
if x =6 + y and 4x = 3 -2y, then x=
Answers
Answer:
x = 5/2 or 2.5
Step-by-step explanation:
I solved this using simultaneous equations or system of equations
You times (1) by 2 so that the y's are the same
You add (3) and (2) instead of subtracting them because the sign in front of thr 2y's are different; adding them will eliminate them
From 2 Points:
(1,5) & (-2,3)
The formula to find the slope between these two points is
(1-5)/(-2-3)
(1--2)/(5-3)
(5-3)/(1--2)
Answers
(5 - 3)/(1 - (-2))
Step-by-step explanation:
The formula for finding the slope is
y₂ - y₁/x₂ - x₁
In this case, we have two points so the way we’re supposed to find the slope is
3 - 5/-2 - 1 or 5 - 3/1 - (-2)
Then the correct answer is (5 - 3)/(1 - (-2))
43% of a town has blue eyes, 46% has blonde hair, and 24% has both. What is the probability that a random person picked will have both?
Answers
Answer:
24 by 113
Step-by-step explanation:
43 + 46 + 24 = 113
the % of people with both is 24%, thus the answer will be 24 by 113
Hope its correct and helps ya :)
Step by step explanation
43+46+24=113
a. Find the probability that when a single six-sided die is rolled, the outcome is 1.
b. Find the probability that when a coin is tossed, the result is tails.
c. Find the probability that when a six-sided die is rolled, the outcome is 13.
a. The probability of rolling a 1 on a six-sided die is
Answers
The probability that when a coin is tossed, the result is tails = 1/2
The probability that when a single six-sided die is rolled, the outcome is 1 = 1/6
The probability that when a six-sided die is rolled, the outcome is 13 = 0
What is probability?Probability is simply how likely something is to happen.
A).
The probability that when a single six-sided die is rolled, the outcome is 1.
When a dice is thrown, sample space = {1, 2, 3, 4, 5, 6}
All six digits are equally likely to occur.
P (occurring 1) = 1/6
B).
The probability that when a six-sided die is rolled, the outcome is 13.
When a dice is thrown, sample space = {1, 2, 3, 4, 5, 6}
13 does not occur in the sample space.
P (occurring 13) = 0
C).
The probability that when a coin is tossed, the result is tails.
When a coin is thrown, sample space = {H, T}
Both head and tail are equally likely to occur.
P (tail) = 1/2
Learn more about probability here
https://brainly.com/question/11234923
#SPJ2
answer I'll give brainliest to first one
10 points
Answers
Answer:
Have a splendiferous day...
Step-by-step explanation:
3÷12=¼
6÷10=⅗
7÷14=½
10÷11=⅚
2÷4=½
4÷16=¼
3÷24=⅛
18÷54=⅓
Answer:
1) 3÷12=[tex]\frac{1}{4}[/tex]
2) 6÷10=[tex]\frac{3}{5}[/tex]
3) 7÷14=[tex]\frac{1}{2}[/tex]
4) 10÷12=[tex]\frac{5}{6}[/tex]
5) 2÷4=[tex]\frac{1}{2}[/tex]
6) 4÷16=[tex]\frac{1}4[/tex]
7) 3÷24=[tex]\frac{1}{8}[/tex]
8) 18÷54=[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Hope this helps have a great day ahead! Have a great Halloween :) Tell me if im wrong please <3
Aria's height is 3 inches less than her brother's height. Her brother's height is unknown.
Which expression shows Aria's height? Use x for her brother's height.
Aria's height is 3 inches less than her brother's height. Her brother's height is unknown.
Which expression shows Aria's height? Use x for her brother's height.
A.x/3
B.3x
C.x + 3
D.x – 3
Answers
Big brainers
help me pls
Answers
Answer:
$36 each
Step-by-step explanation:
she paid $96 during a sale for 4 rose bushes
96÷4=24
so $24 per rose bush during the sale
it said that each one was $12 less than the original price
so 24+12=36
16. What is the total number of different eight-letter arrangements that can be formed
using the letters in the word “SAVANNAH"?
Answers
Graph and find the area of the figure with vertices (−3, −2), (−2, 1), (1, 1), (0, −2).
Answers
Answer:
9 unit²Step-by-step explanation:
The points are plotted and the figure is a parallelogram with base and height both of 3 units long.
The area is:
A = 3*3 = 9 unit²4 Which graph shows x and y in a proportional
relationship?
A y
35
30
25
20
15
10
5 5
0
0 1 2 3
4 5 6 7 8
B.
Helicopter
У
35
30
25
Height (meters)
20
15
10
5
0
0 1 2 3 4 5 6 7 1
Time (seconds)
C.
Tickets
y y
140
120
100
Cost (dollars)
80
60
10
20
0
0 1 2 3 4 5 6 7 8
Number of tickets
Pizzas
УГ
35
30
25
Cost (dollars)
20
15
10
5
0
0 1 2 3 4 5 6 7 x
Number of pizzas
Answers
Answer: I'm sorry, I dont really know but here are some notes to help you with this.
Step-by-step explanation: https://www.hopewell.k12.pa.us/Downloads/Representing%20Proportional%20Relationship%20-%20NOTES%20COMPLETE2.pdf
Patty is ordering vests for her scout troop to wear in the Veterans Day parade. She ordered 12 vests from the Festive Features clothing shop. Since this was a bulk order, Festive Features reduced the price of each vest by $6. The total came to $132. Which equation can you use to find the amount, v, Festive Features normally charges for a vest?
Answers
Algebraic equations are equations that have coefficients and unknown variables in them.
The equation that you can use to find the amount "v" Festive features normally charges for a vest is: 12(v - 6) = 132
The current cost per vest was v - $6
Where v = Initial cost of the vest
The total cost of 12 vests after price reduction was:
$132.
Hence, our equation is given as:
$132 = 12(v - $6)
12(v - 6) = 132
$132 = 12v - 72
Add 72 to both sides
$132 + 72 = 12V
204 = 12v
v = 204/12
v = $17
Thus: The amount v, Festive Features normally charges for a vest is $17
Therefore, the equation to find the amount Festive Features normally charges for a vest is 12(v - 6) = 132
To learn more, visit the link below:
https://brainly.com/question/24993449
Which pair of angles are supplementary?
Answers
Answer:
1 and 7
Step-by-step explanation:
supplementary means that they add up to 180º
1,3 5,6 1,7
2,4 7,8 2,8
1,2 5,7 3,5
3,4 6,8 4,6
There are still some more but my hands are tired of typing.
Answer:
A: 1 and 7
Step-by-step explanation:
when 2 angles are put next to each other on a straight line with a line going through the middle those two angles always add to 180 since 180 is equal to a straight line.
supplementary angles are 2 angles that together make 180.
out of the options given, all of them except 1 and 7 are equal angles and as a result would not add to 180. if you put angles 1 and 7 on a straight line together, they do, thus the answer is A, aka 1 and 7.
