Answer:
the Answer is C
Step-by-step explanation:
We are given –
The perimeter is 40 feet and the length of a rectangle is 4 more than its width. Let the length be " l " and the width be " w ".As we know that –
Rectangle is a four sided polygonal figure, i.e, a quadrilateral, in which the opposite sides are of equal length and are parallel. Also its diagonals bisects each other.[tex].\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \huge \boxed{ \bf{ \: \: \: \: \: \: }} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tiny\sf{A \: rectangle} [/tex]
Perimeter = 2 (l + w) unitsArea = lb sq.unitsAccording to the question –
Width = w feet Length = w+4 feet[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow Perimeter _{(Rectangular) } = 2( Length + Breadth) }[/tex]
[tex]\qquad[/tex][tex] \bf \longrightarrow Perimeter _{(Rectangular) } = 2 (l + w)[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 40 = 2( w+ 4 +w)[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 40 = 2 ( 2w +4)[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 40 = 4w +8[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 4w = 40-8[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow 4w = 32[/tex]
[tex]\qquad[/tex][tex]\sf \longrightarrow w = \cancel{\dfrac{32}{4}}[/tex]
[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow w = 8 \:feet}[/tex]
Width of perimeter is = 8 feetSubstituting the value of w–
[tex]\qquad[/tex][tex]\purple{\bf \longrightarrow Length\: of \: rectangle = (w+4)\: feet }[/tex]
[tex]\qquad[/tex][tex]\bf \longrightarrow Length\: of \: rectangle = 8+ 4 \:feet [/tex]
[tex]\qquad[/tex][tex]\purple{\bf \longrightarrow Length\: of \: rectangle = 12\: feet}[/tex]
Henceforth, The width is 8 ft and the length is 12 ft.__________________________________________
Rosy went to the shoe store and counted 324 pairs of shoes. She went to another shoe store and counted 236 pairs. How many shoes did Rosy count in total.
Answer:
560
Step-by-step explanation:
Rosie counts 324 + 236 shoes
Let's start by separating each number into hundreds, tens, and ones
300, 20, 4
200, 30, 6
Then, we can add up each section
300 + 200 = 500
20 + 30 = 50
4 + 6 = 10
Finally, we can add up the sections
500 + 50 + 10 = 560
a) write 63 as the product of prime numbers.
write the prime numbers is ascending order.
b) work out the highest common factor of 63 and 105.
63 as the product of prime numbers is 3 x 3 x 7.
The highest common factor of 63 and 105 is 21.
Prime numbers are numbers that are only divisible by one and that number. Examples of prime numbers are 5, 7, and 11.
Factors of 63 are: 1, 3, 7, 9, 21, and 63
Prime numbers that are products of 63 = 3 x 3 x 7
The factor of a number is a number that can divide another number without leaving any remainder.
Factors of 63 = 1, 3, 7, 9, 21, and 63 Factors of 105 = 1, 3, 5, 7, 15, 21, 35 and 105.Common factors = 1, 3, 7, 21 Highest common factor = 21To learn more about prime numbers, please check: https://brainly.com/question/4184435
30 POINTS
Suppose the average age of 42 meerkats in a clan is known to be 5.2 years-old. Which statement BEST describes a random sample of 15 meerkats from the clan?
A) The random sample of 15 meerkats should be exactly 5.2 years-old.
B) The random sample of 15 meerkats should be close to 5.2 years-old.
C) The random sample of 15 meerkats should be more than 5.2 years old.
D) The random sample of 15 meerkats should be less than 5.2 years old.
Using the Central Limit Theorem, it is found that the correct option is:
B) The random sample of 15 meerkats should be close to 5.2 years-old.The Central Limit Theorem states that taking a sample of size n for a population of mean [tex]\mu[/tex], the sample means are going to be close to [tex]\mu[/tex].
The larger the value of n, the closer the sample mean should be to [tex]\mu[/tex]In the context of this problem, the sample mean should be close to 5.2 years old, and the correct option is B.
For more on the Central Limit Theorem, you can check https://brainly.com/question/25581475
Answer:
its b
Step-by-step explanation:
on usatp
The formula for determining the frequency, f, of a note on a piano is mc016-1. Jpg, where h is the number of half-steps from the A above middle C on the keyboard. A note is six half-steps away from the A above middle C. The frequency of the A above middle C is 440 Hz. How much greater is the frequency of the new note compared with the frequency of the A above middle C? 29. 3% 41. 4% 70. 7% 182. 3%.
Answ
its a just did this
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Find 3 other points for this equation ( please help!! ) not bots.
Answer:
(0,6), (1,7), (2,8)
Step-by-step explanation:
The angle DEF has measure 75*. What type of angle is it?
Answer:
Acute angle
Step-by-step explanation:
Angles smaller than 90 degrees are acute
hope it helps :)
Which expression is equivalent to 24x+18y
A- 6 (4x) + 3 (6y)
B- 2 (12x) + 2 (6y)
C- 12x+ 12x + 12y+ 12y
D-6y + 6x + 6y + 6x + 6y
Answer:
A- 6 (4x) + 3 (6y)
Step-by-step explanation:
6 (4x) + 3 (6y) equals 24x+18y
Pls explain how to solve it! (Will mark brainylist)
help we don’t know the answer
box and whisker plots please help!
A 12-ounce box of fruit loops is on sale for $2.88, What is the unit cost (what is the price per ounce)
Answer:
$0.24
Step-by-step explanation:
the working out would look something like this:
ounces dollars
12 : 2.88
duvide both by 12 to find 1 ounce
1 : 0.24
the price per ounce would be $0.24
hopefully this helps :)
Sarah has only $180 to spend on her birthday party. If she had to pay $100 for the room and each guest cost $6
for food, how many people can she invite without going over her budget?
Answer:
She can invite 13 people.
Step-by-step explanation:
Because Sarah has to pay $100 for the room, we can subtract.
$180-$100=$80.
Now that she has $80 left, we can see how many times $6 can go into $80.
$6x14=84.
This number is four more than $80, so Sarah can not invite 14 people.
But, if we do $6x13, we get $78.
$78 does not past $80 and is really close, Sarah can invite 13 people.
Final Answer: Sarah can invite 13 people without going over her budget.
I hope this helps and have a wonderful day! ;0
Answer:
13
Step-by-step explanation:
180-100 = 80
80 divided by 6 = 13.333
Find the equation of the line. Use exact numbers. y =__ x +__
EXPLAIN:
Ex: the line is: y = ax + b
The line go through 2 points ( 0 ; -5 ) and ( 5 ; 0 )
So: [tex]\left \{ {{0=5a+b} \atop {-5=0a+b}} \right. =>\left \{ {{b=-5a} \atop {b=-5}} \right. =>\left \{ {{a=1} \atop {b=-5}} \right.[/tex]
The line: y = x - 5 = (1)x + (-5)
ANSWER: y = (1)x + (-5)
ok done. Thank to me :>
Which of the following expressions is equivalent to.
Answer:
the answer is this hope it helps
evaluate the expression for the given value of x.
0.8x+5.4 for x= -3
Answer:
3.0
Step-by-step explanation:
0.8 times -3 = -2.4
5.4-2.4=3.0
So the answer is 3.0
f(x) = 3√3x
g(x) = 3x+2
Answer:
A
Step-by-step explanation:
Why is it helpful to use the rational zero theorem in finding the zeros of polynomial function? Explain your answer.
Answer:
The rational roots theorem is a very useful theorem. It tells you that given a polynomial function with integer or whole number coefficients, a list of possible solutions can be found by listing the factors of the constant, or last term, over the factors of the coefficient of the leading term.
Hope that helps.
Answer:
Finding the Zeros of Polynomial Functions The Rational Zero Theorem helps us to narrow down the list of possible rational zeros for a polynomial function. Once we have done this, we can use synthetic division repeatedly to determine all of the zeros of a polynomial function. Given a polynomial functionuse synthetic division to find its zeros.
Step-by-step explanation:
i hope it helpful:)
C= 5 by 9 (F − 32)where F is the temperature in °F and C is the temperature in °C. Convert the temperature −10℉ into ℃ .Give your answer to 2 d.p.
Answer:
-23.33 °C
Step-by-step explanation:
C = 5/9 (-10 - 32)
C = 5/9 (-42)
C = -23.3333 ≈ -23.33 °C
hope it helps :)
mark brainliest!
pls pls help i need help
Answer:
3 m/s/s
Step-by-step explanation:
F = ma
28 = 4m
m = 7
m is constant throughout
21 = 7a
a = 3
3 m/s/s
3. A rock is lying on a rock ledge that is 3 m high. The rock as 120 J of potential energy.
What is the mass of the rock?
Answer:
For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters. Notice that gravitational potential energy has the same units as kinetic energy, kg m2 / s2.
Step-by-step explanation:
$200 at 15.5% for 2 years
A student earned a grade of 82% on a math test that had 20 problems. How many problems on this test did the student answer correctly? (round to the nearest whole number)
Work Shown:
82% of 20 = 0.82*20 = 16.4 which rounds to 16
Which graph shows a system of equations with no solutions?
Answer: We need to see the options
Step-by-step explanation: We need to see the options
Please help question in pic
Answer:
O = (1,-1)
N = (1,-2)
M = (3,-2)
L = (3,-1)
Step-by-step explanation:
Solve: x ÷ 0.6 = 8.9
5.34
9.5
8.3
0.07
Answer:
5.34
Step-by-step explanation:
x = 8.9 X 0.6
x = 5.34
Your welcome :)
helppp meeee and answer pleaseeeeeeee
Answer:
13.6 and .4
Step-by-step explanation:
3.4x4=13.6
leaving .4 left
Answer:
4 and 2 berries left over.
Step-by-step explanation:
14 divided by 3 = 4
4x3=12
14-12=2
Mathew grew a sunflower that was 1 7/8 meters tall. She cut 3/4meters off the height. How much of the steam is left?
2x+5(x+1) = -8;
Can someone help me solve this problem step by step please?
Answer:
-13/7
Step-by-step explanation:
2x+5(x+1)=-8
2x+5x+5=-8
7x+5=-8
7x=-8-5
7x=-13
7x/7=-13/7
x=-13/7
Answer:
x = -13/7
Step-by-step explanation:
2x+5(x+1) = -8
2x+5x+5 = -8
7x+5 = -8
7x = -8-5
7x = -13
x = -13/7
Triangle ABC has two known angles. Angle A measures 55 degrees. Angle B measures 30 degrees. What is the measure of angle C?
Answer:
According to the properties of a triangle, all internal angles of a triangle must add up to 180 degrees.
Since we know A and B are 55 degrees and 30 degrees respectively, C = 180-55-30 = 95 degrees.
Thus, the measure of angle C is 95 degrees.
Write an equation in the form
Y = mx +b to represent the line on each
graphy
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