The perimeter of a rectangleis 64 cm. The length is 7less than 2 times the width.What is the width?[?] cm
Answers
Given:
it is given that the perimeter of a rectangle is 64 cm. The length is 7
less than 2 times the width.
Find:
we have to find the width of the rectangle
Explanation:
we know the perimeter of a rectangle = 2*length + 2* width
let x be the width of the rectangle,
then 2x - 7 is the length of the rectangle.
Therefore, we have
64 = 2(2x - 7) + 2x
64 = 4x - 14 + 2x
64 + 14 = 6x
6x = 78
x = 78/6
x = 13 cm
Therefore, width of the rectangle is 13 cm
Related Questions
City Cab Taxi charges a $2.95 flat rate for a ride in the cab in addition to that they charge $0.50 per mile Katie has no more than $25 to spend on a ride at most how many miles can KD Travel without exceeding her spending limit
Answers
Answer:
44 miles
Step-by-step explanation:
25-2.95
22.05
22.05/0.5
They can go 44 miles
She can travel 44.1 miles at most.
What is inequality?Inequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Let Katie can travel \(x\) miles
\(2.95 + 0.50x\leq 25\)
\(0.50x\leq 25-2.95\)
\(x\leq 44.1\)
She can travel 44.1 miles at most.
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At a local play production, 490 tickets were sold. The ticket prices varied on the seating arrangements and cost $8, $10, or $12. The total income from ticket sales reached $4600. If the combined number of $8 and $10 priced tickets sold was 6 times the number of $12 tickets sold, how many tickets of each type were sold?
Answers
PRICES COUNTS COSTS
8 e 8e
10 420-e-t 10(420-e-t)
12 t 12t
420 3920
system%28e%2B420-e-t=5t%2C8e%2B10%28420-e-t%29%2B12t=3920%29
First equation gives highlight%28t=70%29.
Second equation simplifies to e-t=140.
Substitution gives highlight%28e=210%29.
Quantity of $10 tickets by difference, highlight%28140%29
In a recent survey of 36 people, 18 said that their favorite color of car was blue.
What percent of the people surveyed liked blue cars? Explain your answer with every step you took to get to it.
Answers
Answer: The percentage of people surveyed who liked blue cars is 50%.
Step-by-step explanation:
Total number of people partaking in survey= 36
number of people who like blue cars= 18
therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)
hence, percentage of people who liked blue cars= (18/36)*100 %
= 50%
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Answer:
Percentage of people who like blue-coloured cars is 50%
Number of people who were surveyed=36
Number of people who like blue-colored cars=18
Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100
=(18/36)*100
=50%
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do similar triangles always have equal lengths of corresponding sides?
Answers
Answer:
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.
Answer:
No. Similar triangles only have equivalent angles. Congruent triangles have equal side lengths.
Step-by-step explanation:
Which statements describe the area of the figure on the grid if each square has an area of 9 square meters? Check all that apply. O It is the sum of the areas of 7 full squares and 12 partial squares. It is greater than 162 square meters. It is less than 279 square meters. It is the sum of the areas of 18 full squares and 13 partial squares. It is greater than 63 square meters. It is less than 117 square meters.
Answers
Answer:
I dont know for sure but i think its 2,3,4,5,and 6
Which of these sequences of transformations would not return a shape to its original position?
A. Translate 3 units up, then 3 units down.
B. Reflect over the y-axis , then reflect over the y-axis again.
C. Translate 1 unit to the right, then 4 units to the left, then 3 units to the right.
D. Rotate 90\circ∘ counterclockwise around the origin , then rotate 270\circ∘ counterclockwise around the origin again.
Answers
Answer:
A
Step-by-step explanation:
PLEASE HELP ASAP
solve -1/6[3-15(1/3)2]
![PLEASE HELP ASAP solve -1/6[3-15(1/3)2]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/C0Nx4ldjSdyeTD1pu34mYu8d7IAOliwi.png)
Answers
Answer:
C) -2/9
Step-by-step explanation:
\(\displaystyle -\frac{1}{6}\biggr[3-15\biggr(\frac{1}{3}\biggr)^2\biggr]\\\\=-\frac{1}{6}\biggr[3-15\biggr(\frac{1}{9}\biggr)\biggr]\\\\=-\frac{1}{6}\biggr[3-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{27}{9}-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{12}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{4}{3}\biggr]\\\\=-\frac{4}{18}\\\\=-\frac{2}{9}\)
Answer:
Hence, Option (C) - 2/9 is the Answer:
Step-by-step explanation:
-1/6 [3 -15(1/3)^2]
-1/6(3 -15)(1/9))
-1/6(3 - 5/3)
-1/6 (4/3)
Hence, Option (C) - 2/9 is the Answer:
I hope it helps!
What is the derivative of 5x^4+4?
Answers
Answer:
\(\displaystyle \frac{dy}{dx} = 20x^3\)
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: \(\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)\)
Derivative Property [Addition/Subtraction]: \(\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]\)
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
Identify
\(\displaystyle y = 5x^4 + 4\)
Step 2: Differentiate
Derivative Property [Addition/Subtraction]: \(\displaystyle y' = \frac{d}{dx}[5x^4] + \frac{d}{dx}[4]\)Rewrite [Derivative Property - Multiplied Constant]: \(\displaystyle y' = 5\frac{d}{dx}[x^4] + \frac{d}{dx}[4]\)Basic Power Rule: \(\displaystyle y' = 20x^3\)Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Express as a single fraction and find the domain
Answers
A single fraction will be;
⇒ 1/(y + 12)
And, Domain of this expression is,
⇒ Domain = (-∞, ∞) - { 12 }
What is mean by Fraction?A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
Given that;
The expression is,
⇒ 4 / (y + 2) - 3 / (y - 2) + 12/ (y² - 4)
Now,
Since, The expression is,
⇒ 4 / (y + 2) - 3 / (y - 2) + 12/ (y² - 4)
Simplify the expression as;
⇒ 4 (y - 2) - 3 (y + 2) / (y-2) (y+2) + 12 / (y² - 4)
⇒ 4y - 8 - 3y - 6 / (y² - 4) + 12 / (y² - 4)
⇒ (y - 14) / (y² - 4) + 12 / (y² - 4)
⇒ (y - 14 + 12) / (y² - 4)
⇒ (y - 12) / (y- 12) (y + 12)
⇒ 1/(y + 12)
Hence, A single fraction will be;
⇒ 1/(y + 12)
And, Domain of this expression is,
⇒ Domain = (-∞, ∞) - { 12 }
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Idk how to solve this find value of x and y
Answers
Answer:
Try out each different answers and see which one would work.
Step-by-step explanation:
Go to A, and then B and then C and then D to find the correct one. Plug in the answers to find out which one is correct.
HELP this question is real hard
Answers
Answer:
lol
Step-by-step explanation:
lol
A delivery driver makes $78 each day that he works and makes approximately $10 in tips for each delivery that he makes. If he wants to make at least $238 in one day, at least how many deliveries does he need to make?
Answers
Answer:
16 deliveries
Step-by-step explanation:
We can model the situation using a linear inequality. Since we're told that the driver makes $10 in tips for each delivery.Thus, this is the slope.Since he makes $78 each day, this number is a constant and he makes it even when no deliveries are made. Thus, this is the y-interceptSince he wants to make at least #238, we want to find a value of d (number of deliveries) which would cause his wages to equal #238. Thus, we can use the following equation to find:238 ≤ 10d + 78
160 ≤ 10d
16 ≤ d
Thus, he needs to make at least 16 deliveries to make at least $238 in one day. Any less than 16 deliveries will cause him to fall short of his goal and any more than 16 deliveries will cause him to exceed his goal.
find the volume of the shape
Answers
Answer:
hmmm the mass are the numbers of the up and volume of the bottom
Step-by-step explanation:
What’s the solution to 5x + 6 = 2x + 15
Answers
-6. -6
(Subtract 6 from both sides)
5x= 2x + 9
-2x. -2x
(Subtract 2x from both sides)
2x cancels out
Leaving you with
3x = 9
(Now divide 3 from both sides)
And you get
X=3
ANSWER IS: x=3
Which sequence of transformations would create an image that is incongruent to the original pre-image? O A translation 4 units to the left followed by a dilation by 2 O A rotation of 90- followed by a translation of 2 units to the right O A reflection across the y-axis followed by a rotation of 180- O A rotation of 270 followed by a reflection across the x-axis.
Answers
Answer: Choice A
A translation 4 units to the left followed by a dilation by 2
=============================================================
Explanation:
The following transformations will make the pre-image and image congruent to one another:
ReflectionRotationTranslationIf you apply any of those transformations mentioned above, then the image is an identical copy of the pre-image. Nothing about the figure has changed other than it has been shifted, rotated, or reflected in some way. The figure retains its original size and shape. These transformations are called isometries.
A dilation on the other hand does not preserve the size. "Dilation by 2" means the scale factor is 2, so the image will be twice as large compared to the pre-image, in terms of linear dimension. This means there is no way the image is congruent to the pre-image if a dilation has occurred.
Based on all this, choice A is the answer. Choices B, C, and D only involve the three isometries mentioned earlier and no dilation at all, so they can be ruled out.
This graph shows a proportional relationship.
What is the constant of proportionality?
Enter your answer as a decimal in the box.
Answers
Step by step
Your constant of proportionality is the slope or rate of the graph.
The constant of proportionality k is given by k=y/x.
From your graph you have points given ( 2, 27.60) and ( 6, 82.80)
k = 27.60/2 = 13.8
k = 82.80/6 = 13.8
Rate is the same and the line goes through (0, 0) so it is proportional
Two dice are rolled; find the probability of rolling a doubles (2 of a kind) or getting two numbers whose sum is equal to 8.
Answers
Answer:
The probability of rolling a doubles or getting two numbers whose sum is equal to 8 is 0.278.
Step-by-step explanation:
There are a total of N = 36 outcomes when rolling two fair dice.
The outcomes for rolling doubles are: {(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)}.
So, n (Doubles) = n (D) = 6
The outcomes for rolling a sum of 8 are: {(2, 6), (3, 5), (4, 4), (5, 3), (6, 2)}
So, n (Sum 8) = n (S8) = 5
Considering the outcomes of the above two events, it can be seen that there is a common outcome, i.e. (4, 4).
So, n (D ∩ S8) = 1
Compute the probability of rolling a doubles or getting two numbers whose sum is equal to 8 as follows:
\(P(D\cup S8)=P(D)+P(S8)-P(D\cap S8)\)
\(=\frac{n(D)}{N}+\frac{n(S8)}{N}-\frac{n(D\cap S8)}{N}\\\\=\frac{6}{36}+\frac{5}{36}-\frac{1}{36}\\\\=\frac{6+5-1}{36}\\\\=\frac{10}{36}\\\\=0.278\)
Thus, the probability of rolling a doubles or getting two numbers whose sum is equal to 8 is 0.278.
match each integer on the left with the probability on the right that it is the sum of the faces when two fair dice are rolled.
Answers
The probability of the sum of the numbers comes up on the facing dice add up to 3 while rolling two fair six sided dice is equal to ( 1/ 18).
As given in the question,
Number of six sided fair dice rolled = 2
Total number of outcomes of each dice = 6
Total number of outcomes of rolling two six sided fair dice = 36
Outcomes are:
( 1,1), (1,2)...(1,6),( 2,1), (2,2)...(2,6), ( 3,1), (3,2)...(3,6), ( 4,1), (4,2)...(4,6), ( 5,1), (5,2)...(5,6), ( 6,1), (6,2)...(6,6)
Sum of facing up dice add upto 3 are
( 1,2) , (2,1) only
Number of favorable outcomes = 2
Required probability = 2/36
= 1/18
Therefore, the required probability of the sum of facing up dice add upto 3 is equal to (1/18).
The given question is incomplete, I answer the question in general according to my knowledge:
Roll two fair 6-sided dice. what is the probability that the sum of the numbers on the dice facing up add up to 3?
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Find the mean, median, mode, and for this set of numbers:
20, 6, 18, 15, 18, 15, 6
Answers
Answer:
mean: 14
median: 15
mode: 6, 15, 18
Step-by-step explanation:
For the mean, you add up all the numbers and divide by the number of numbers there are. There are 7 numbers here, so add and divide by 7.
For the median, you line the numbers up from least to greatest.
6, 6, 15, 15, 18, 18, 20
and find the middle number, which is 15.
For the mode, you have to find the number that repeats the most. For this set of numbers, it's 15, 18, and 6. Hope that helps!
Answer:
Mean = 14
Median = 15
Mode = 6, 18, 15
Step-by-step explanation:
I really hope this helps you. I worked these out however I looked up and did research. I checked out the website too. Check out (calculator soup)
It gives you the answers and explains all the steps.
PLEASE HELP!!! Given the <1 is a complement of <2 and m<2 =47° , find m<1
Answers
Answer:
43
133
Step-by-step explanation:
Complementary means that the two angles added together equal 90
90 - 47 = 43
Supplement means that the two angels added together equal 180
180 -47 = 133
23 Points | Brainliest | Pre Calc Question | Thanks so much ahead of time.
Find the sum of the first 12 terms of the sequence. Show all work for full credit.
1, -4, -9, -14, . . . (2 points)
Answers
Answer:
1, -4, -9, -14, -19, -24, -29, -34, -39, -44, -49, -54 = -318
Step-by-step explanation:
Answer:
The Answer is -318.
Step-by-step explanation:
1 + (-4) + (-9) + (-14) + (-19) + (-24) + (-29) + (-34) + (-39) + (-44) + (-49) + (-54)
find the product :
(127)(-65)
Answers
Answer:
-8255
Step-by-step explanation:
The circumference of a circle measures 11.277 ft.
What is the measure of the diameter of this circle?
Answers
Answer:
3.590ft
Step-by-step explanation:
We know what the circumference of the circle is, and we need to find its diameter. Therefore, we need to find an equation that links the two together.
Well, what comes to mind is the fact that the circumeference, \(c\), is equal to \(\pi\) multiplied by the diameter, \(d\). We can express this like so:
\(c = \pi d\).
In this scenario, we know what \(c\) is, so we need to rearrange the formula to make \(d\) the subject. Dividing both sides by \(\pi\) will accomplish this, and gives us:
\(\frac{c}{\pi} = d\).
So if we divide the circumference by \(\pi\), we will find the diamater. Well,
\(\frac{11.277}{\pi} = 3.58958...\)
and so to 3 decimal places we get the answer
\(d = 3.590\text{ft}\).
James is playing an arcade game with tokens. In the firstgame, he hits the jackpot and doubles the number oftokens that he has. In the second game, James wins 12more tokens. In his third and final game, he loses 4tokens. James now has 170 tokens. How many tokensdid he have before he started playing the game?
Answers
Let's call X the number of tokens than he has before start playing the game.
In the first game, he hits the jackpot and doubles the number of tokens that he has. So, after the first game, he has a double of X or 2X.
In the second game, James wins 12 more tokens. So, he has now 2X + 12 tokens.
In his third and final game, he loses 4 tokens. So, he has 2X + 12 - 4 tokens.
Now he has 170 tokens. It means that:
2X + 12 - 4 = 170
Therefore solving for X, we get:
\(\begin{gathered} 2X+12-4=170 \\ 2X+8=170 \\ 2X+8-8=170-8 \\ 2X=162 \\ \frac{2X}{2}=\frac{162}{2} \\ X=81 \end{gathered}\)Answer: 81 tokens
Suppose the technology matrix for a closed model of a simple economy is given by matrix A. Find the gross productions for the industries. (Let H represent the number of household units produced, and give your answers in terms of H.)
Answers
Answer:
hello your question is incomplete attached below is the complete question
Answer :
products : \(\frac{7H}{17} units\)
machinery : \(\frac{H}{17} units\)
households : H units
Step-by-step explanation:
attached below is the remaining part of the detailed solution
products : \(\frac{7H}{17} units\)
machinery : \(\frac{H}{17} units\)
households : H units
Can someone please help me with these and thank you
Answers
These are the answers!
Number 6 is x≤3
Number 2 is x≥10
Number 3 is x>26
Number 5 is x>−2
Answer the following question
Answers
Answer:
f(-8) = 54
Step-by-step explanation:
To start, replace x in the equation with -8. This will give you f(-8) = 6(1 - (-8)) which can be simplified to f(-8) = 6(1 + 8). Apply the distributive property on the right side of the equation to get f(-8) = 6 + 48. When simplified, you get f(-8) = 54.
A store is offering 20% discounts on new laptops and 10% discounts on new printers when the two are purchased together. The original prices of the two together is at least $1,050. The discounted price exceeds $860. Which system of inequalities can be used to find the possible original prices of a laptop, x, and of a printer, y?
Answers
The system of inequalities that can be used to find the possible original prices of a laptop, x, and of a printer, y is: x + y ≥ 1050 and 0.8x + 0.9y > 860
How to determine the system of inequalitiesLet x be the original price of the laptop and y be the original price of the printer.
So, the discounted price of the laptop is 0.8x and the discounted price of the printer is 0.9y
If the two are purchased together, the total discounted price is:
0.8x + 0.9y
This exceeds $860
0.8x + 0.9y > 860
The original prices of the two together is at least $1,050.
This can be written as:
x + y ≥ 1050
So, we have
x + y ≥ 1050 and 0.8x + 0.9y > 860
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PLEASE HELP ME ON THIS
Answers
9514 1404 393
Answer:
(d) $775.50
Step-by-step explanation:
The parallelogram on the left has an area of ...
A = bh = (4 yd)(2 yd) = 8 yd²
The rectangle in the middle has an area of ...
A = lw = (6 yd)(4 yd) = 24 yd²
The triangle on the right has an area of ...
A = 1/2bh = 1/2(1 yd)(2 yd) = 1 yd²
The total area of the carpet is ...
(8 + 24 + 1) yd² = 33 yd²
__
At $23.50 per square yard, the cost is ...
($23.50/yd²)(33 yd²) = $775.50 . . . . . matches the last choice
Find the equation of a line that passes through the points (1,-2) and (3,-4). Express your final answer in slope-intercept form.
Answers
\(\text{Given that,}\\\\(x_1,y_1) = (1,-2)~~ \text{and}~~ (x_2,y_2) = (3,-4)\\\\\text{Slope,}~ m= \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-4+2}{3-1} = -\dfrac 22 = -1\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y +2 = -1(x-1)\\\\\implies y = -x+1 -2\\\\\implies y = -x-1\\\\\text{This is the slope-intercept form(y =mx+b).}\)
Answer:
y=-x-1
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-4-(-2))/(3-1)
m=(-4+2)/2
m=-2/2
m=-1
y-y1=m(x-x1)
y-(-2)=-1(x-1)
y+2=-x+1
y=-x+1-2
y=-x-1