The length of a rectangle is 6 cm more than its width. The area of the rectangle is 256 cm,superscript,2,baseline,. Let x represent the width of the rectangle in centimeters. Which equation represents the situation? Answer Options with 4 options A
. 6x,superscript,2,baseline, − 256 = 0 B
. 6x,superscript,2,baseline, + 256 = 0 C.
x ,superscript,2,baseline, − 6x + 256 = 0 D.
x ,superscript,2,baseline, + 6x − 256 = 0
The equation which represents the situation is:
[tex]x^2+6x-256=0[/tex]
Step-by-step explanation:Let x represent the width of the rectangle in centimeters.
The length of a rectangle is 6 cm more than its width.
This means that the length of the rectangle is: x+6 cm.
Also, we know that the area of a rectangle is the product of the length and width of the rectangle.
Here, the area of the rectangle is 256 cm².
i.e.
[tex]x(x+6)=256\\\\x^2+6x=256\\\\i.e.\\\\x^2+6x-256=0[/tex]
e=mc squared
solve for c
Answer:
c = + √ E
__ __
m
Step-by-step explanation:
E=mc^2 for c
E
_ = c^2
m
6. Identify an equation that models the situation and find its solution.
It’s going to be Lindsay’s birthday soon, and her friends Mary, Jacqui, Tadeusz, Opal, and
Tony have contributed equal amounts of money to buy her a present. They have $45.00 to
spend between them. Determine how much each contributed.
(1 point)
5y = 45.00; y = $9.00
5y = 45.00; y = $10.00
5 + y = 45.00; y = $39.00
5 + y = 45.00; y = $40.00
What the answer to this
325 people were in a tour group. Six buses were completey filled and 7 people chose to walk.How many people did the bus hold?
How do I solve for x?
757 divided by 68 with remainder
When dividing 757 by 68, the result is a quotient of 11 with a remainder of 9.
When dividing 757 by 68, the quotient is the largest whole number that can be obtained by dividing 757 by 68, and the remainder is the number left over after performing the division.
68 ) 757 (11
- 68
______
77
- 68
______
9
The quotient remains 11, and we subtract 68 (68 multiplied by the quotient) from 777 to get 9. At this point, we have no more digits to bring down.
The quotient is 11, and the remainder is 9.
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Which expression represents the calculation “subtract 10 from 36, then divided by 6”?
A) 6 ч (36 − 10)
B) (36 − 10) ч 6
C) (36 ч 6) − 10
D) (10 − 36) ч 6
a number is divisible by 4 if the last two digits are divisible by 4
Lisa is covering a rectangular table with small square tiles. It will take 32 rows of tile with 48 tiles in each row. How many tiles are needed to cover the table?
multiply:
32*48 = 1536 tiles
you are given the measure of angle 4. You also know the following angles are supplementary: Angles 1 and 2, angles 2 and 3, angles 1 and 4. Explain how you can determine the measures of angles 1, 2, and 3.
To find the measures of angles 1, 2, and 3, use the fact that angle 1 is supplementary to both angles 2 and 4, and angles 2 and 3 are supplementary. Set up equations and solve them simultaneously to find the measures of the angles.
Explanation:To determine the measures of angles 1, 2, and 3, we can use the information that angle 1 is supplementary to both angles 2 and 4, and angles 2 and 3 are supplementary. Since angles that are supplementary add up to 180 degrees, we can set up equations to solve for the measures of angles 1, 2, and 3.
Let's represent the measure of angle 4 as x. Then we can write the equations:
Angle 1 + Angle 4 = 180 degreesAngle 2 + Angle 3 = 180 degreesAngle 1 + Angle 2 = 180 degreesSubstituting x for the measure of angle 4, we can solve these equations simultaneously to find the measures of angles 1, 2, and 3.
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A package of blank CDs usually costs $8.50. This week it's on sale for 15% off. What's the discount?
Four pieces of wood each 11 1/2 inches long are required to build a cabinet. If all four pieces are cut from one board and 1 inch is allowed for waste in cutting each piece, how long should the board be?
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I need help ASAP. And, when done solving, how did you get your answer and what was your thought process (not steps). Thank you!!
Can someone plz help me with this math problem.
Which set does not contain –3? the set of all real numbers the set of all integers the set of all whole numbers the set of all rational numbers
The set of whole number since it is defined as positive integers + zero.
We have given that,
The set of all real numbers the set of all integers the set of all whole numbers the set of all rational numbers.
We have to determine the Which set does not contain –3
What is the set of all whole numbers?Integers are the set of whole numbers and negative of natural numbers. Hence, integers include both positive and negative numbers including 0. Real numbers are the set of all these types of numbers natural numbers, whole numbers, integers and fractions.
Therefore we get,
The set of whole number since it is defined as positive integers + zero.
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The expression s2 is the area of a square, where s is the side length of the square. What does the expression (6x)2 represent?
A) the area of a square with a side length of 6
B) the area of a square with a side length of 12
C) the area of a square with a side length of 3x
D) the area of a square with a side length of 6x
Answer:
The correct option is D.
Step-by-step explanation:
The area of a square with side s is defined as
[tex]A=s\times s[/tex]
[tex]A=s^2[/tex] .... (1)
The given expression is
[tex]A=(6x)^2[/tex] .... (2)
From (1) and (2), we get
[tex]s=6x[/tex]
It means the expression [tex](6x)^2[/tex] represents the area of a square with a side length of 6x .
Therefore the correct option is D.
How to find the scale factor of a rectangle?
A teacher is making identical activity packets using 92 crayons and 23 sheets of paper. What is the greatest number of the packets the teacher can make with no left over items?
92/23 = 4
so she can make 23 packets, 1 sheet of paper and 4 crayons
The basketball coach made up a game where each player takes 10 shots at the basket. For every basket made, the player gains 10 points. For every basket missed, the player loses 15 points. The player with the highest score sank 7 baskets and missed 3. What was the highest score?
Use the vocabulary term "absolute value" to explain the term opposite as it pertains to positive and negative numbers. Explain why zero is the opposite of itself
Answer:
zero is the opposite of itself because there is no negative zero to be its opposite so it is itselfs opposite.
LCM of 15, 30, and 45
Bridget works part time in a shoe store. Sometimes when it is not busy, she rearranges the shoes for fun. If she takes six different pairs of shoes and rearranges them in a row, in how many ways can she rearrange them so that no two shoes match?
Which three points in the figure are collinear?
a) F, E, G
b) A, B, D
c) E, C, A
d) A, B, C
In the figure, the points F, E, and G are collinear. Collinear points are points that lie on the same straight line. The correct option is A).
Point F is clearly on the same straight line as points E and G because it falls directly in line with them, creating a continuous sequence.
It can visualize this by a line passing through points F, E, and G. This line would pass through all three points without any interruption.
No other points in the figure form such a straight-line arrangement with F and G, further confirming that F, E, and G are the collinear points.
In summary, points F, E, and G are collinear because they lie on the same straight line, and no other points in the figure share this property with them.
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Write in slope-intercept form an equation of the line that passes through the given points.
(−1, −1), (1, 5)
Answer: y= ??????
An average person in the United States throws away 4.5 × 10² g of trash per day. In 2013, there were about 3.2×10^6 people in the U.S.
About how many grams of trash was thrown away in the United States in 2013?
Enter your answer in the box.
5.3 × 10^ g
in the equation 10n=120, is n 10?
Jeff is saving to purchase a new basketball that will cost at least $88. He has already saved $32. At least 7) Jeff is saving to purchase a new basketball that will cost at least how much more does he need to save for the basketball?
The cost of the ball is $0.05. This is determined through a simple algebraic calculation that takes into account that the bat costs $1.00 more than the ball and the total cost is $1.10.
The student's question is about solving a simple algebraic problem involving the cost of two items with a given difference in their prices. In the problem statement, a bat and ball cost a combined total of $1.10. The bat costs $1.00 more than the ball.
Let's denote the cost of the ball as x dollars.Consequently, the cost of the bat will be x + $1.00, since it costs one dollar more than the ball.According to the information provided, the combined cost of the ball and bat is $1.10. Therefore, we can write the following equation: x + (x + $1.00) = $1.10.Simplifying this equation: 2x + $1.00 = $1.10.Subtracting $1.00 from both sides of the equation, we get 2x = $0.10.Dividing both sides of the equation by 2, we find that x = $0.05.Therefore, the cost of the ball is $0.05.
What's a rational number between 8 and 8.1
The rational number between 8 and 8.1 is 8.05 / 1 or 16.1 / 2.
What is Number system?
A system of writing to express the number is called number system.
Given that;
The numbers are,
⇒ 8 and 8.1
Now,
Find the rational number between 8 and 8.1 as;
The rational number = (8 + 8.1) / 2
= 16.1 / 2
= 8.05 / 1
Thus, The rational number between 8 and 8.1 is 8.05 / 1 or 16.1 / 2.
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What is 8.61×10−8 in decimal form?
0.000000861
0.0000000861
8,610,000
861,000,000
Somebody help me with this