Answer:
Area = 2x³ + 5x² - 1
Step-by-step explanation:
Given the length of a rectangle, (2x + 1), and its width of (x² + 2x - 1):
The formula for solving the area of a rectangle is given by:
Area of a rectangle = Length × Width
In order to solve for the area of a rectangle, simply multiply the given length by the width.
length (L) = (2x + 1)
width (W) = (x² + 2x - 1)
A = L × W
A = (2x + 1)(x² + 2x - 1)
Distribute the binomial, (2x + 1), into the trinomial, (x² + 2x - 1):
A = 2x³ + 4x² - 2x + x² + 2x - 1
Combine like terms:
A = 2x³ + 5x² - 1
Therefore, the area of a rectangle is: 2x³ + 5x² - 1.
2. A certain 80 cm spring will stretch (in cm) three-sixteenths the weight (in kg) attached to
it. How long will the spring be if a 15-kg weight is attached to it?
What does this multiplication equation mean?
6 × 7 = 42
Select each correct answer.
Seven more than 6 is equal to 42.
Seven times as much as 6 is equal to 42.
Six times as much as 7 is equal to 42.
Six more than 7 is equal to 42.
Answer:
Step-by-step explanation:
Six times as much as 7 is equal to 42 would be the equation
describe fully the single transformation that maps triangle A onto triangle B.
A person has a bag containing quarters and dimes. There are a total of 72 coins in the bag, and the total value of the coins is $13.20. Determine how many quarters and dimes are in the bag.
Answer:
40 quarters and 32 dimesStep-by-step explanation:
Given:
Quarter = 25 ¢, number of quarters = qDime = 10 ¢, number of dimes = dTotal amount = $13.20 = 1320 ¢Required equations:
q + d = 7225q + 10d = 1320Solve by elimination, multiply the first equation by 10 and subtract from the second equation:
25q + 10d - 10q - 10d = 1320 - 10*7215q = 600q = 600/15q = 40Find p:
40 + p = 72p = 72 - 40p = 32Let's take the given as,
→ q = quarters (25)
→ d = dimes (10)
→ 1320 will be the amount
→ q + d = 72
→ 25q + 10d = 1320
Now we can solve for q,
→ (25q - 10q) + (10d - 10d) = 1320 - (10 × 72)
→ 15q = 1320 - 720
→ 15q = 600
→ q = 600/15
→ [ q = 40 ]
From this equation,
→ q + d = 72
We can solve for the d,
→ 40 + d = 72
→ d = 72 - 40
→ [ d = 32 ]
There are 40 quarters & 32 dimes.
The sale of cars in a particular month is decreased by 20% is $3060. What was the sale of cars before reduction.
Answer:
$3672
Step-by-step explanation:
3060 x 20% = 612
612 + 3060 = 3672
2. The number of male teachers is 2/3 of the number of female teachers in a school. If there are 75 teachers altogether, how many more female teachers than male teachers are there?
Answer:
15
Step-by-step explanation:
Because the male teacher number is 2/3 of the female teachers, we can count the female teacher number as 3/3. and since we have a ratio of 2/3 to 3/3 we can take out the 3 and think of it as 2 to 3. Since it is 2 to 3, we have 5 in total and you can divide 75 by 5 which will get you 15 (how many teachers per unit in the ratio) and if you multiply 15 by 2, you will get the male teacher number which is 30, and when you multiply 15 by 3, you will get the female teacher number which is 45, and when you subtract them, you will get 15 more female teachers.
Hope it helped!
There are 15 more female teachers than the male teachers.
What is equation?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
Given that, The number of male teachers is 2/3 of the number of female teachers in a school and there are 75 teachers altogether,
Let there be 6x female and 4x male teachers in the school,
Establishing the equation,
6x + 4x = 75
10x = 75
x = 7.5
Number of more females = 6x-4x = 2x = 2(7.5) = 15
Hence, there are 15 more female teachers than the male teachers.
For more reference on equations, click;
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The mass of a tin of paint is 890 grams, correct to the nearest 10 grams. Workout the upper bound of the total mass of 10 tins of paint.
Answer:
8900
Step-by-step explanation: :þ
Which number is greater explain your reasoning .375 or 3/8? help!
Hey there!
“Which one of is greater 0.375 or 3/8?”
3/8
= 3 ÷ 8
= 0.375
.375 = 0.375
0.375 = 0.375
So, therefore NEITHER is greater because both numbers are EQUIVALENT to (EQUAL to) each other
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
⅜ = 0,375
3 ÷ 8 = 0,375
0,375 = 0,375
True.
Which is the equation of a line that is parallel to the line y= -1/3x + 1
A.y= -1/3x + 1
B.y= 3x - 2
C.y= -1/3x + 2
D.y= 1/3x + 1
given: AE and BD bisect each other.
prove: triangle ACB - triangle ECD
The Triangles are congruent by SAS Criteria.
The step by step explanation is there in the image I attached.
Hope it helps you....
Please mark as brainlliest!!!
ONLY BOTS WITH LINKS KEEP ANSWERING MY QUESTION PLEASE SOMEONE HELP ME WITH THIS
Answer:
the figure A was rotated 145° over the origin(0,0), and flipped over the x-axis, and for last it was moved 4 to the right and 1 down (x+4,y-1)
help please i only have 10 mins left
a. parallel
b. perpendicular
c. neither
Answer:
they are perpendicular
Step-by-step explanation:
Can somebody help me with 20. Thank you!!!
Answer:
What do you mean, I'll help.
Step-by-step explanation:
Josh is painting all the walls in his room that is 3m x 4m and 2.75m high, How much paint in square feet is needed?
Answer:
33
Step-by-step explanation:
3*4*2.75=33
Solve this equation, show all your work:
6(x+1)=-2(3x+9)
Answer:
x=-2
Step-by-step explanation:
6(x+1)=-2(3x+9)
Distribute the 6.
6x+6=-2(3x+9)
Distribute the -2.
6x+6=-6x-18
Move the variable to the left-hand side and change the sign.
6x+6+6x=-18
Collect like terms
12x=-18-6
Calculate the difference.
12x=-24
Divide both sides by 12.
x=-2
Hope this helps :)
5/9 rounded to the nearest thousand
Please help me please
Answer:
Step-by-step explanation:
Answer:
m +2 = 4
m = 2
x = 1
y +1 = 2
y = 1
z = -1
Writing quadratic functions
Answer:
So, y = x^2 is a quadratic equation, as is y = 3x^2 + x + 1. All of these are polynomial functions of degree 2. Often you will be given the quadratic ...
The number of board games cannot be negative. Write this constraint.
The number of role-playing games cannot be negative. Write this constraint
Step-by-step explanation:
回答 你今天在做什么 我父亲是一个地球仪 并将其邮寄给今日印度的中央政府组 为年轻人提供在线学习 答案是肯定的 我不确定你是否
The pie chart represents the proportions of how Henry spent the £720 he took on holiday.
What fraction of his money did he spend on drink?
Give your answer in its simplest form.
Answer:
£114
Step-by-step explanation:
Rate brainliest please
[tex] \frac{57}{360} \times 720 = 114[/tex]
Lori decied to save up for a trip.She put $1120 of her saving into a bank account. If she earns 2% interest how much will have alotgether after
help pls
Answer:
$1,344 is her total.
Step-by-step explanation:
0.2 x 1120 = 240 + 1120
3 Write a numerical expression to model the words. Subtract 1 from the product of 4 and 5.
Answer:
Hello!
After reading the question you have provided I have come up with the correct numerical expression:
4x5-1
Step-by-step explanation:
To come up with this solution you need to keep in mind some of the terminoloy being used.
The word "subtract" comes from the action of subtraction
The word "product" comes from the action of multiplication
Thus, using those terminologies correctly, you can then deduce that when the question says "the product of 4 and 5" means "multiplying 4 and 5 together".
So you get the first part being 4x5
Then, you add in the last part of "subract 1" from the "product of 4 and 5":
4x5-1
Remember to keep in mind the rule of "PEMDAS"
You always need to keep the multiplication portion of the equation in front of any subtraction, or addition in any given equation.
Here to form the numerical expression we will first do the product of 4 and 5 and then subtract 1 from their resultant and that is ou required answer.
What is numerical expression ?A numerical expression is written in terms of numbers and their operations numerical expression can of many types for example arithmatic expression , alzebraic expression etc.
some examples of arithmatic operations are -
240+130 = 370
240÷12 = 20
Some examples of alzebraic expressions are
3x + 4y = 7
x² + 3x - 7 = 0
In the given question subtract 1 from the product of 4 and 5 can be expressed as (4x5) - 1 = 20 - 1 = 19
Leran more about numerical expression here :
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Anrnav was 1.5m tall in the last couple years his height increased by 20%
How tall is anrav today?
Answer:
1.8 meters
Step-by-step explanation:
It was easy for me
Work out the size of angle x
Answer:
Opposite angles are equal
Corresponding angles are equal
Angles on straight lines adds to 180
Angles in triangle adds to 180
180-98=82
82+85=167
180-167=13
Answer is 13
Write the equation of each line in slope intercept form.
Step-by-step explanation:
Formulas and Formats we'll be using:
Slope Formula: [tex]m=\frac{y2}{x2} -\frac{y1}{x1}[/tex]
Slope-Intercept form: [tex]y=mx+b[/tex]
m = slope
b = y-intercept
Substitute (-6, 10) and (-3, -2) into the slope formula:
[tex]m=\frac{-2}{-3} -\frac{10}{-6}[/tex]
Simplify:
[tex]m=\frac{-12 \div 3}{3 \div 3}=\frac{-4}{1}[/tex]
[tex]m=-4[/tex]
*Per every -4 y, x increases by 1.
Points Included:
(-6, 10)
(-5, 6)
(-4, 2)
(-3, -2)
(-2, -6)
(-1, -10)
(0, -14)
Y-intercept:
Y-intercept represents x when it's equal to 0.
Using our points, we can determine that the y-intercept is at the point:
(0, -14)
-14 is the y-intercept.
Create a Slope-intercept form equation:
Formula: [tex]y = mx + b[/tex]
Substitute the slope, and y-intercept into the equation:
[tex]y=-4x-14[/tex]
Your equation is: [tex]y=-4x-14[/tex]
A 66-inch candle burns down in 12 hours. After how many hours will it have burned 5 3/4 inches?
Answer:
9.5 hours
Step-by-step explanation:
Write the following number in expanded form.
176,945,596
Answer:
= 176,945,596
Step-by-step explanation:
100,000,000 + 70,000,000 + 6,000,000 + 900,000 + 40,000 + 5,000 + 500 + 90 + 6 = 176,945,596
= 176,945,596
(Hope this helps can I pls have brainlist (crown)☺️)
Help anyone please and thank you
the answer would 1/4 of a gallon
simply because 4 of the containers equals one gallon
simplify:...... (3x⁴)³
Answer:
27[tex]x^{12}[/tex]
Step-by-step explanation:
Long way: 3x^4)^3 means that 3x^4 will be multiply by itself three times
[tex](3x^{4})^3 = (3x^{4})(3x^{4} )(3x^{4} ) =27x^{12}[/tex]
Short way [tex]3^{3}[/tex] ([tex]x^{4(3)}[/tex] ) = 27[tex]x^{12}[/tex]
someone please help me quickly PLEASEEE!!!