Answer:
[tex]16(3a-2b)(4a^2+3ab+2b)[/tex]
Step-by-step explanation:
We will be able to fill the glass up to the amount of water possible to hold in the glass, minus the amount in the cube. This means it will be able to hold [tex]216a^3-64b^3=(6a)^3-(4b)^3[/tex]cubic cm of water.
Using the difference of cubes formula(you can prove this by expanding back out again), we get that [tex](6a^3)-(4b)^3=(6a-4b)((6a)^2+(6a)(4b)+(4b)^2)=(6a-4b)(36a^2+24ab+16b)=8(6a-4b)(4a^2+3ab+2b)=16(3a-2b)(4a^2+3ab+2b)[/tex]
Therefore, the answer is [tex]\boxed{16(3a-2b)(4a^2+3ab+2b)}[/tex] cubic centimeters and we're done!
Work out the percentage change when a price of £10 is increased to £12.
Answer:
20%
Step-by-step explanation:
Use the percent change formula: difference = % * original cost
12 - 10 = 2
The difference is 2 and the original cost is 10. Now, we have the equation
2 = % * 10. We don’t know the percentage right? So now we have to find the percentage. To do this, you will have to do 2 divided by 10, which is 0.20. Lastly, we have to turn 0.20 into a percentage by multiplying it by 100, leaving you with 20%. So therefore, 20% is the percent increase. Hope this helps!
HELP ME PLZ PEOPLE!!
Answer:
I may be wrong but i think it's -27
Step-by-step explanation:
-3 ( p - q) exponet of 2
Pemdas : Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Parentheses
-3 (p - q) exponet of 2
-3 ( 5 - 2 ) exponet of 2
-3 ( 3 ) exponet of 2
Exponents
-3 ( 3 ) exponet of 2
-3 ( 3 ) exponet of 2 = -3 (3 x 3 = 9)
-3 (9)
Multiplication
-3 (9)
Answer: -27
What is 2 1/8 as an improper
fraction?
Consider the following polynomial inequality.
x^2(x+5)(x−6)>0
Set one side equal to zero and list the interval endpoints (the only points at which the non-zero expression can change sign).
Separate multiple answers with a comma.
Answer:
Well, x^2(x+5)(x−6)>0= x<-5 or x>4
Step-by-step explanation:
Just have to simplify it as I can't type the equations right now.
The polynomial expression of inequality is x² ( x + 5 ) ( x - 6 ) > 0 is given by the values ( x < -5 ) and ( x > 6 )
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
x² ( x + 5 ) ( x - 6 ) > 0
So , the values of x that are greater than 0 is given by
x² > 0
So , the value of x > 0
when ( x + 5 ) > 0
Subtracting 5 on both sides , we get
x < -5
when ( x - 6 ) > 0
Adding 6 on both sides , we get
x > 6
So , the inequalities are ( x < -5 ) and ( x > 6 )
Hence , the polynomial inequality is solved
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What is the answer to this question?
Answer:
27 23/25
Step-by-step explanation:
Jesse buys a necklace that is on sale for 25% off the original price is 119.50 if tax is 7% what is the total price that Jesse will pay for the necklace
Answer:
$95.89875
Step-by-step explanation:
The original price of the necklace is 119.5. And we are subtracting 25% from this. 119.5 - 25% = 119.5 - 1/4 since 25% is 25/100 which is also 1/4.
So without tax, the price of the necklace is 119.5 - 29.875 which is 89.625.
The tax is 7%. So we should add 89.625 to 7%. This is complicated, but it should result in 95.89875.
If we round this to the nearest cent, it should be $95.9.
Use the following diagram to answer questions
9514 1404 393
Answer:
ΔDEH ~ ΔGEF∠G = 89°∠F = 22°Step-by-step explanation:
17c. We cannot see the entire diagram, but based on what we can see, if we assume that segments FG and DH are parallel, then angles D and G correspond. The similarity statement is then ...
ΔDEH ~ ΔGEF
__
Corresponding angles are congruent, and are listed in the same order in the similarity statement. This means we have ...
∠D ≅ ∠G = 89° . . . . answer to 17b
∠E ≅ ∠E = 69°
∠H ≅ ∠F = 22° . . . . answer to 17a
_____
Additional comment
The second choice listed for part 17c can be rejected simply on the basis that ΔEGH does not exist in the figure. Points G and H are not in the same triangle.
PLEASE HELP WILL MARK BRAINLIEST!! (THANK YOU)
Answer:
1 - 58°
2 - 122°
3 - 58°
Step-by-step explanation:
Important notes:
• Vertical Angles Theorem - The angles that are opposite to each other on an intersection of 2 lines are always congruent.
• Linear Pair - The two angles that are formed when a straight line is split. Linear pairs are supplementary angles.
• Supplementary Angles - An angle pair whose total measure = 180°.
Angle 1 is supplementary to the angle with measure 122°.
So, ∡1 = 180 - 122.
∡1 = 58°
Based on the Vertical Angles Theorem, ∡1 ≅ ∡3, so ∡3 is also 58°.
Based on the Vertical Angles Theorem, ∡2 ≅ 122°, so ∡2 = 122°.
∡1 = 58°
∡2 = 122°
∡3 = 58°
solve pls brainliest
Answer:
[tex]2.06[/tex]
Step-by-step explanation:
Divide 33 by 16.
[tex]2.0625[/tex]
6 is in the hundredth place. If you look at the thousandth place, a 2 is placed there, rounding [tex]2.0625[/tex] to [tex]2.06[/tex] in the hundredth place.
Hence, the answer is [tex]2.06[/tex].
Jaimee is moving in with her dad next year, and she wants to know how much farther her trip to school will be from his house than it was from her mom’s house. Jaimee’s dad lives 12.65 miles from school, and her mom lives 4 1/6 miles from school. About how much farther will Jaimee have to travel to school?
Given b = 40 and c=-16, b + c is equal to the product
of -4 and what number?
F.-14
G.-6
H.6
J.14
K. 160
Answer:
-6
Step-by-step explanation:
40-16=24
24/-4=-6
(b + c) is equal to the product of -4 and -6.
What is the Product of two numbers?The product of two numbers is the result you get when you multiply them together.
Given that b = 40 and c = -16
(b + c) = 40 -16 = 24
24 = -4*-6
Hence, (b + c) is equal to the product of -4 and -6.
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PLEASE HELP ME ASAPP if can of not then just leave it
Answer:
b
Step-by-step explanation:
Solving systems of equations by substitution 2x - 3y = 19
x - 2y = 11
Answer:
[tex]\boxed {\boxed {\sf (5, -3)}}[/tex]
Step-by-step explanation:
We are asked to solve the system of equations by substitution. We must isolate a variable and plug it into the other equation.
We are given these 2 equations;
[tex]2x-3y=19[/tex]
[tex]x-2y=11[/tex]
1. Isolate a Variable
We can easily isolate x in the 2nd equation. 2y is being subtracted from x. The inverse operation of subtraction is addition. Add 2y to both sides of the equation.
[tex]x-2y+2y=11 +2y \\x= 11+2y[/tex]
2. Substitute and Solve for y
x is equal to 11 + 2y, so we can substitute this expression in for x in the 1st equation.
[tex]2x-3y=19[/tex]
[tex]2(11+2y)-3y=19[/tex]
Now we can solve for y by isolating the variable First, distribute the 2. Multiply each term in parentheses by 2.
[tex](2*11) + (2*2y) -3y = 19[/tex]
[tex]22 + 4y-3y = 19[/tex]
Combine the like terms.
[tex]22+y=19[/tex]
22 is being added to y. The inverse operation of addition is subtraction. Subtract 22 from both sides of the equation.
[tex]22-22+y=19-22\\y= 19-22 \\y= -3[/tex]
3. Solve for x
We know that y is equal to -3, so we can plug it back into either original equation and solve for x. Let's use the 2nd equation.
[tex]x-2y=11[/tex]
[tex]x-2(-3)=11[/tex]
Multiply -2 and -3.
[tex]x+6=11[/tex]
6 is being added to x. The inverse operation of addition is subtraction. Subtract 6 from both sides of the equation.
[tex]x+6-6=11-6\\x=11-6 \\x=5[/tex]
We found that y=-3 and x=5. Coordinate points are written as (x,y), so the solution for this system of equations is (5, -3).
what is 25% of 32
explain please
Answer:
25% of 32
[tex] \frac{25}{100} \times 32 \\ = 8[/tex]
The base of a triangle is 4 inches more than 3 times the height. If the area of the triangle is 66 square inches, find the base and height.
Answer:
base = b = 11
height = h = 2
Step-by-step explanation:
.5 * b * h = 11
.5 * (4h + 3) * h = 11
(4h + 3) * h = 22
4h2 + 3h = 22
4h2 + 3h - 22 = 0
(4h + 11) (h - 2) = 0
h = -11/4 OR h = 2
Amer bought 12 pounds of apples for $6. Use a ratio table to find the cost of buying 10 pounds of apples.
Answer:
$5
Step-by-step explanation:
12 pounds = $6
1 pound = $6/12
1 pound = $0.50
10 pounds = $0.50 x 10
10 pounds = $5.00
-Chetan K
PLEASE HELP I DONT GET THIS
Step-by-step explanation:
(a) yes it is answer.
i cheak it is true.
fraction in simplest form: 2/3 + 1/12
Answer:
3/4
Step-by-step explanation:
2/8+3/8=______ whole
Answer:
5/8
Step-by-step explanation:
Edna has a box of chocolates. There are 36 chocolates in the box, and one-ninth of them
contain nuts. How many chocolates in Edna's box contain nuts?
Answer: 4
Step-by-step explanation:
[tex](36)(\frac{1}{9} )[/tex]
= 4
please give me a brainliest answer
What is the first step in simplifying the expression (2-3•4+5)^2 ?
(1) square 5
(2) add 4 and 5
(3) subtract 3 from 2
(4) multiply 3 by 4
Answer:
(4) multiply 3 by 4
Step-by-step explanation:
(2-3•4+5)²
Firstly multiply 3 by 4
(2-12+5)²
Then add 2 and 5
(-12+7)²
Now subtract -12 from 7
-5²
= (-5)(-5)
= 25
Thus, the first step in simplifying the expression (2-3•4+5)^2 is (4) multiply 3 by 4.
I have 50 questions to complete in 45 minutes. How much time per question can I have in order to complete all 50 questions in 45 minutes?
Answer:
54 Seconds per question
Step-by-step explanation:
45/50*60
20) In the town of Eagle Pass, 5 out of 13 vehicles are trucks. What
percent of the vehicles are trucks? Round to the nearest tenth. *
48.5%
38.5%
24.5%
12.5%
Answer:
38.5%
Step-by-step explanation:
5/13=38.5.........
Answer:
38.5%
Step-by-step explanation:
1. 5 - 13 = 0.38461538461
2. 0.3846 [1538461] - take away most of the extra numbers
3. 0.3846
4. Round it to the nearest tenth - 0.385
5. Take your answer and times my 100 - 0.385 * 100 = 38.5
and make that into a percentage - 38.5%
What type of angle is shown below?
acute
straight
obtuse
right
Answer:
Acute
Step-by-step explanation:
So, straight would be a line, right would be like a corner of a square, acute would be less than a right, and obtuse would be more than a right but less than a straight.
Does -a squared = (-a) squared Explain why or why not.
Answer:
Yes
Step-by-step explanation:
This is because based on this equation PEMDAS/Order of operation says that you will get the same answer no matter whether there are parenthesis or not.
find the area of a square with a side length of 1/5 in.
Answer:
.04 inches squared
Step-by-step explanation:
1/5 of an inch is .2
A = Length times Width
Since squares have 4 equal sides, its length is equal to its width.
0.2 times 0.2 = .04 in^[tex]^{2}[/tex]
In how many ways can 5 people sit in 5 chairs if Frankie and Johnny want to sit next to each other?
Answer:
48
Step-by-step explanation:
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Y.10 Solve one-step and two-step equations: word problems HCP
Tutorial
Brad's science class is heading to Skylight Observatory on a field trip. The observatory offers
a group rate for students that is $4 less per person than the normal cost. There are 27
students in Brad's science class. His teacher called ahead and found that the total cost for the
class will be $378. What is the normal cost per person?
Submit
Answer: 69.3
Step-by-step explanation: when u see 27 you divied by 378 end get 4 finel answer 4!
Can someone explain how you do this and not only give me the answer so I could know the formula?
Answer: 9/7 or 1 2/7
Step-by-step explanation:
Multiply 4 by the denominator and add 1:
29/7
Multiply 2 by seven (denominator) and add 6:
20/7
29/7 - 20/7 = 9/7
9/7 = 1 2/7
7 fits one time into nine and 2 is left.
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pls awnser (immediate)
Answer:
A. a route more than 27 miles per day.
Step-by-step explanation: