The area of a rectangle if the length is 5 more than 4 times the width, the algebraic expression for this is, A = (4b + 5) × b
What is the area?An area is total space occupied by two-dimensional or flat surfaces. In other words we can say that it is a number of unit squares present in a closed figure. We use various units for measurement of area like, cm², m², ft², mm².
Given that,
The length is 5 units more than 4 times the width
Suppose,
length = l
width = b
So, according to given condition
l = 4b + 5
Now, the area for rectangle is
A = length × width
A = l × b
A = (4b + 5) × b
Hence, the algebraic expression is (4b + 5) × b
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find the length of the darkened arc.
Answer:
25.13 (to 2 d.p)
Step-by-step explanation:
Use the formula:
Length of arc = (angle/360) X 2πr
where: angle = 180 and r = 16÷2 = 8
I need help on finding the inverse for this help me.
please hurry and answer 55 + 7a = 19
Answer:
a = -36/7
Step-by-step explanation:
55 + 7a = 19
(55 - 55) + 7a = (19 - 55)
7a = -36
7a/7 = -36/7
a = -36/7 the fraction can't be simplified any further
Which term can be used in the blank of 36x3−22x2−__ so the greatest common factor of the resulting polynomial is 2x? Select two options.
2
4xy
12x
24
44y
Given:
The expression is:
[tex]36x^3-22x^2-\_\_\_[/tex]
To find:
The values for the blank so that the greatest common factor of the resulting polynomial is [tex]2x[/tex].
Solution:
We have,
[tex]36x^3-22x^2-\_\_\_[/tex]
If the greatest common factor of the resulting polynomial is [tex]2x[/tex], then 2 and x must be factors of missing value.
In option A, 2 is a factor of 2 but [tex]x[/tex] is not a factor of 2. So, this option is incorrect.
In option B, 2 and [tex]x[/tex] are factors of [tex]4xy[/tex]. So, this option is correct.
In option C, 2 and [tex]x[/tex] are factors of [tex]12x[/tex]. So, this option is correct.
In option D, 2 is a factor of 24 but [tex]x[/tex] is not a factor of 24. So, this option is incorrect.
In option E, 2 is a factor of [tex]44y[/tex] but [tex]x[/tex] is not a factor of [tex]44y[/tex]. So, this option is incorrect.
It means the correct value for the given blank is either [tex]4xy[/tex] or [tex]12x[/tex].
Therefore, the correct options are B and C.
A wire is first bent into the shape of a rectangle with width 7in and length 9in then the wire is bent and reshaped into a square what is the length of a side of a square.
Answer:
Length of side of square = 8 inch
Step-by-step explanation:
Given:
Length of rectangular wire = 9 inch
Width of rectangular wire = 7 inch
Find:
Length of side of square
Computation:
We know that same wire is used from square
So,
Perimeter of rectangle = Perimeter of square
2[l + b] = 4 x side
2[9 + 7] = 4 x Length of side of square
2[16] = 4 x Length of side of square
32 = 4 x Length of side of square
Length of side of square = 32 / 4
Length of side of square = 8 inch
An office supply company produces yellow document envelopes. The envelopes come in
a variety of sizes, but the length is always 5 centimeters more than double the width.
Write a polynomial expression to give the perimeter of any of the envelopes.
Answer:
6x+10
Step-by-step explanation:
2x×2(2x+5)
2x+4x+10
6x+10
solve for x 3 (x + 5) = 9
Answer:
- 2
Step-by-step explanation:
3 ( x + 5 ) = 9
x + 5 = 9 / 3
x + 5 = 3
x = 3 - 5
x = - 2
Answer:
x = - 2
Step-by-step explanation:
Given
3(x + 5) = 9 ← divide both sides by 3
x + 5 = 3 ( subtract 5 from both sides )
x = - 2
Find the area of the circle.
20 inches
Para reunir dinero para su gira de estudios , los alumnos de un curso deciden vender números de una rifa que se encuentran numeradas del 1 al 100 ¿Cual es la probabilidad de ganar en la rifa si se compran todos los numeros que sean multiplos de 3 o de 5?
Respuesta:
0.53
Explicación:
Para calcular la posibilidad del evento A: "ganar la rifa comprando todos los números múltiplos de 3 o 5", debemos usar la siguiente fórmula.
P(A) = casos favorables / casos posibles
Evaluemos primero todos los casos que son múltiplos de 3, entre 1 y 100: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99. En total son 33.
Ahora, evaluemos todos los casos que son múltiplos de 3, entre 1 y 100: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100. En total son 20.
El número total de casos favorables es 33 + 20 = 53.
El número de casos posibles es el total de números de 1 a 100, es decir 100.
Luego P(A) = 53/100 = 0.53.
From the equation, find the axis of symmetry of the parabola.
f (x) = x squared minus 14 x + 49
a.
x = 7
c.
x = 6
b.
x = negative 7
d.
x = negative 6
Answer:
B. x=negative 7
Step-by-step explanation:
sana nakatulong :-)
hi- someone help -v- sorry for so many questions
Answer:
all are true because all are less than or equal to 10
Step-by-step explanation:
Answer:
5,3,2,10
Step-by-step explanation:
A - 57 7/9
B- 11 2/3
C- 48 2/9
D-28 2/3
Answer:
i would say B is the answer
Step-by-step explanation:
Answer:
A is the correct answer.
Step-by-step explanation:
V=l*b*h
=4 1/3 * 3 1/3 * 4 ft^3
=13/3 * 10/3 * 4 ft^3
=520/9
= 57 7/9
Mark is six years older than his brother Sam. The sum of their ages is 30. Let 'a' be Sam's age.
Answer:
a = 12 years
Step-by-step explanation:
Mark is 6 years older than his brother Sam. Now, we are asked to represent Sam’s age by a. This means that if Sam is a years old, Mark is (a + 6) years old.
The sum of their ages is 30, this means that when we add their ages together, we get the sum of thirty.
Mathematically this means a + a + 6 = 30
2a + 6 = 30
This is the equation needed to get a. To get a , we proceed to solve the equation to completion.
2a = 30 - 6
2a = 24
a = 24/2
a = 12
express 12.383838 in p/q form
Answer:
12383838 is the answer
1000000
The middle school swim team scored a total of 181.863 points. Which expression represents this score?
A (1x100) + (8x 10) + (1x1)+(8x1)+(6x 10) +(3x 100)
B (1 x 100) + (8x10)+ (1x1)+ (8x2)+(6x 1/10)+(3x 1/100)
C (1x100) + (8x10)+(1x1) + (ex *)+(6x 100) +(3x 1/1000)
D (1*100)+(8x 10) + (1x1)+(8x 1000)+(ox 100)+(3x o)
o
Answer: A
Step-by-step explanation:
A follows the tenths, hundreds, and thousandths place correctly
Answer:
A. (1x100) + (8x 10) + (1x1)+(8x1)+(6x 10) +(3x 100)
Step-by-step explanation:
Use the formula Circumference = 2 X A X radius, where it is approximately 3.14, to answer the question.
5.0 inches
What is the approximate circumference of the circle?
O A 7.9 inches
OB. 15.7 inches
OC 31.4 inches
OD. 62.8 inches
HELPPP IM TIMED
Answer:
A
Step-by-step explanation:
You divide the diameter by 2 to get radius. So 5÷2=2.5
So then you multiply 2.5 by pi aka 3.14 so 2.5x3.14=7.85 So we rounds 7.85 to 7.9
Answer:
B. 15.7
Step-by-step explanation:
Circumference= 2×π×r
2×3.14×2.5 (half of 5 is 2.5)
=15.7
If f(x)= -9x+12, then f(20)=__
What is the answer?
Answer:
-168
Step-by-step explanation:
if this is right but hopefully
Subsets of sample spaces
Go to le
The sample space below shows the results of the final eight matches played by the English soccer team
Manchester United during their championship 2012 - 2013 season. They won matches where they scored
more goals than their opponent, lost matches where they scored less, and tied matches where they scored the
same amount.
If we take matches 1, 2, 4, 6, and 7 as a subset of the sample space, which of the statements below describe
this subset?
Choose all answers that apply:
CA
The subset consists of all the matches where Manchester United's opponent did not win.
B)
The subset consists of all the matches where Manchester United won or lost.
©
The subset consists of all the matches where Manchester United did not win.
Answer:
B) The subset consists of all the matches where Manchester United won or lost.
Step-by-step explanation:
1 - Manchester united lost
2 - Manchester United won
4 - Manchester United won
6 - Manchester United lost
7 - Manchester United won
Hence, 1, 2, 4, 6, 7 consists of matches where Manchester United either won or lost.
Therefore, 1,2,4,6,7 is a subset of the sample space where Manchester United won or Lost
Answer:
The letter may be in different orders.
2 answers: "The subset consists of all the matches where there were no ties" and "The subset consists of all the matches where Manchester United won or lost"
Step-by-step explanation:
process of elimination. All the nonhighlighted matches are were there were ties. The highlighted ones have no ties and both teams lost or won.
Of 220 seventh-grade students, 25% earn the Community Service Award. How many students earn the award?
Answer: 55
Step-by-step explanation:
The point-slope equation of a line is....? HELP ME
Write an equation in slope-intercept form for the line with slope -4 and y-intercept 8
There are 240 girls at the park. There are 360 more boys than girls at the park.How many boys are at the park?
Answer:
600 boys
Step-by-step explanation:
To find how many boys are at the park, add 360 to 240:
240 + 360
= 600
So, there are 600 boys at the park
Answer:
There are 600 boys at the park.
Step-by-step explanation:
The information we know is that there are already 240 girls at the park, and we also know that there are 360 more boys than girls. So to find out how many boys there are we must add the two values together, 240 and 360.
240 + 360 = 600
So that means there are 600 boys at the park.
Ms.Boyers is baking a cake for the holiday. She needs 3 cups of milk and 1 cup of corn syrup. How many ounces of milk and corn syrup does she need in all
Answer:
she will need 24 ounces of milk and 8 ounces of corn syrup
Step-by-step explanation:
let me know if im right good luck!
Answer:
[tex]48[/tex] oz of milk
[tex]16[/tex] oz of corn syrup
Step-by-step explanation:
[tex]3\times16=48\\1\times16=16[/tex]
Hey can you help me fast!!! I will give brain list if the answer is right!
Answer:
-3 1/8
Step-by-step explanation:
This can be done by setting up the following equation. (I'm going to convert 1/4 to .25 to make things easier)
-1.25/1 = x/2.5
x = -3.125 or -3 1/8
You decide to create a business selling handmade
bracelets at a price of $20. For loyal customers, you
give them a 10% discount. At checkout, the taxes come
out to be 8% of the discounted price.
Answer:
$16.40
Step-by-step explanation:
Pleaseeeeeee I need helpppp
Answer:
I think it's 34
Step-by-step explanation:
cuz you add 11 and 12 frequency
A relative asked her aunt that lives in Canada to send her some money to help her pay for her school tuition in the US. Her aunt sent her CAN $9,000. How much would that amount be in US currency? USD $1.00 = CAN $1.25
what is the measure of angle PQS in the figure below?
A. 36
B. 60
C. 72
D. 108
Answer:
C
Step-by-step explanation:
PQS is an Acute angle so it's obviously C because it's the closest angle.
you have 11 art projects that weigh 24 pounds. If you give you mom 7 of your art projects, how much would her box weigh?
The weight for mom's boxes is obtained as 41.41 pounds.
What is weight?
Weight gauges how much gravity is pulling on a body.
The weight formula is provided by -
w = mg
Since weight is a force, it has the same SI unit as a force, which is the Newton (N).
Use a proportion to solve this problem.
Since the weight of the art projects is directly proportional to the number of art projects, we can set up the following proportion -
weight of 11 art projects / 11 = total weight / 24
Solving for the total weight -
total weight = (weight of 11 art projects / 11) x 24
total weight = 2.18 x 24
total weight = 52.32 pounds
So the total weight of the 11 art projects is 24 pounds, and if mom gets 7 of them, 4 art projects will be left weighing a total of -
weight of 4 art projects = (weight of 11 art projects - weight of 7 art projects)
weight of 4 art projects = (24 - (7/11) x 24)
weight of 4 art projects = 10.91 pounds
So, mom would be receiving 7 art projects weighing a total of -
weight of 7 art projects = (total weight - weight of 4 art projects)
weight of 7 art projects = (52.32 - 10.91)
weight of 7 art projects = 41.41 pounds
Therefore, mom's box would weigh 41.41 pounds.
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Choose the graph that represents the following system of inequalities:
y ≤ −3x + 1
y ≤ 1 over 2x + 3
In each graph, the area for f(x) is shaded and labeled A, the area for g(x) is shaded and labeled B, and the area where they have shading in common is labeled AB.
Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line g of x passes through points 0, 1 and 1, negative 2 and is shaded above the line.
Graph of two lines intersecting lines. Both lines are solid. One line g of x passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded above the line.
Graph of two intersecting lines. Both lines are solid. One line passes g of x through points negative 2, 2 and 0, 3 and is shaded below the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded below the line.
Graph of two intersecting lines. Both lines are solid. One line f of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line f of x passes through points 0, 1 and 1, negative 2 and is shaded below the line.
9514 1404 393
Answer:
C
Step-by-step explanation:
Both inequalities have y ≤ ( ), so will be bounded by solid lines, and shaded below that line (where y-values are lower). The first inequality has a boundary line with a steeply negative slope; the second has a shallow positive slope.
Since both are shaded below, the doubly-shaded area (AB) will be in the bottom quadrant, below the point of intersection of the lines. The graph attached below shows the correct shading.