Answer:
54=2w
Step-by-step explanation:
I completed this problem
If Rectangle ABCD has a perimeter of 54 inches and a length that is twice the width. Then 6W =54 equation represents the perimeter of rectangle ABCD
What is Rectangle?A rectangle is a quadrilateral with four right angles.
Given,
Rectangle ABCD has a perimeter of 54 inches
Perimeter=54 inches
Length is twice the width
L=2W
L represents length and W represents width.
W=W
Perimeter of rectangle =2(Length+Width)
54=2(2W+W)
54=2(3W)
54=6W
Hence 54=6W is the equation represents the perimeter of rectangle ABCD
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You invested $26,000 in two accounts paying 2% and 3% annual interest, respectively. If the total interest earned for the year was $730, how much was invested at each rate?
Answer:
You invested $22,000 in two accounts paying 3% and 5% annual interest, respectively. If the total interest earned for the year was $980, how much was invested at each rate?
Step-by-step explanation:
let x=amt invested at 3% rate of interest.
22000-x=amt invested at 5% rate of interest.
.03x+.05(22000-x)=980
.03x+1100-.05x=980
.02x=120
x=6000
22000-x=16000
amt invested at 3% rate of interest=$6,000
amt invested at 5% rate of interest=$16,000
Hope iit help you mark as BrainlistThe amount invested in the account that yields 3% interest is $21,000 and the amount invested in the account that yields 2% interest is $5000
This can be solved using simultaneous equations. Two equations can be derived from the question :
a + b = 26,000 equation 1
0.02a + 0.03b = 730 equation 2
Where
a = amount invested in the account that yields a 2% interest
b = amount invested in the account that yields a 3% interest
Multiply equation 1 by 0.02
0.02a + 0.02b = 520 equation 3
Subtract equation 3 from equation 2
0.01b = 210
Divide both sides of the equation by 0.01
b = 210 / 0.01 = 21,000
Substitute for b in equation 1
a + 21,000 = 26,000
a = 26,000 - 21,000
a = 5000
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Select the statement that best justifies the conclusion based on the given information.
Ifx+5 = 15, then x=10.
O addition property of equality
O subtraction property of equality
multiplication property of equality
O substitution
Answer:
B.
Subtraction property of equality.
I need a step by step explanation please
Brooke gets 6 heads when flipping a weighted coin 8 times. Based on experimental probability, how many of the next 20 flips should Brooke expect to come up heads?
? heads
10 I would say
Unless 18 one of those
solve for x x+1/8=8
x=
Answer:
x=63/8
The decimal form is: x=7.875
A B C or D? because I'm not understanding
Answer:
b, 46 feet..?
Step-by-step explanation:
im not exactly sure either, maybe try b..?
its an estimate, but i hope this helped! <3
Choose all the factors of 12. (Check all that apply.)
1
5
8
7
6
3
12
11
4
2
10
9
select the expression that is NOT equivalent to 35p+25
A 5(5+3p+4p)
B 5(15p+5+20p)
C 5(5+7p)
D 5(4p+3p+5)
• Water tank A has 220 gallons of water and is being drained at a constant rate of 5 gallons per minute.
• Water tank B has 180 gallons of water and is being drained at a constant rate of 3 gallons per minute.
Part
How much time, in minutes, do water tank A and water tank B have to be drained in order for them to have the same amount of water?
Answer: In 20 minutes, tanks A and B will each have 120 gallons remaining in them.
Step-by-step explanation:
The equation, the amount at which they will be equal, represents the given starting amounts minus the gal/min times the unknown time in minutes, m.
220 - 5m = 180 - 3m Subtract 180 from both sides; add 5m to both sides.
220-180 -5m +5m = 180-180 +5m - 3m Combine like terms
40 = 2m Divide both sides by 2
20 = m
Check: Substitute 20 for m in the equation
220 - 5(20) = 180 - 3(20)
220 - 100 = 180 -60
120 = 120 True!
please help braineist
Answer:
44
Step-by-step explanation:
5x8=40+4=44
need help will give extra points! and brainly thing
Answer:
I think c tell if wrong ok
Answer:
They are continuous relations
A boy purchased (bought) a party-length sandwich 55 in. long. He wants to cut it into three pieces so that the middle piece is 5 in. longer than the shortest piece and the shortest piece is 8 in. shorter than the longest piece. How long should the three pieces be?
Shortest piece has a length of _____ in.
Middle piece has a length of ___ in
Longest piece has a length of ____ in.
Answer:
the shortest piece has a length of 8 in, the middle piece would have a length of 60 longest would be 63
Step-by-step explanation:
looked it up on Chegg it was already asked and answered by a expert tutor
Write the numerator of a fraction equivalent to 3/4 that has a denominator of 20
Answer:
15
Step-by-step explanation:
Cross multiply
3 times 20 = 60
4 times x = 4x
now your left with
60= 4x
divide 4 on both sides
15 = x
The numerator of a fraction equivalent to 3/4 that has a denominator of 20 is 15.
A fraction is made up of a numerator and a denominator. Examples of fraction are: [tex]\frac{3}{4} , \frac{1}{2}[/tex]. The numerators are 3 and 1. The denominators are 4 and 2.
In order to determine the numerator, we have to determine the relationship between the two denominators given ( 20 and 4). 20 is a multiple of 4. 20 / 4 = 5. The second step is to multiply 3 by 5 = 3 x 5 = 15.
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Which of these is equal to 35 (8 – 3)? A. (35 + 8) – (35 + 3) B. (35 × 8 ) + (35 × 3) C. (35 × 8) – (35 × 3) D. (35 × 11)
The equivalent of the expression, 35 (8 – 3) is (35 × 8 ) - (35 × 3). The answer is C.(35 × 8) – (35 × 3)
How to simplify an expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
Therefore, let's simplify the expression to the its' equivalent as follows:
Hence,
35 (8 – 3) = 35(5) = 175
Therefore, the equivalent is as follows:
35 (8 – 3)
Open the bracket by multiplying as follows;
35 (8 – 3) = (35 × 8 ) - (35 × 3)
The correct option is C. (35 × 8) – (35 × 3)
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1/2(n-5)=1/2(23-5) I cannot find what’s half of 23-5
Answer:
n = 23
Step-by-step explanation:
if 1/2 (n-5) = 1/2 (23-5)
that must mean that n=23.
and if you are just looking for 1/2 of 23-5 that is just 9. (23-5) = 18 and half of 18 is 9
solve the inequality and graph the solution on the line provided. 3x-15>-21
Answer: x>-2
Step-by-step explanation:
Answer: x<−2
Step-by-step explanation:
3x-15>-21
3x<15-21
3x<-6
3x/3<-6/3
x<-2
The answer is x<-2
Hope it helps
simplified form of ( (2^-2) )^-3 x ( (2^-3) )^2
Answer:
( (2^-2) )^-3 x ( (2^-3) )^2
((1/2²)^-3×(1/2³)²
1/(1/4)³×(1/8)²
4³×1/8²
64/64
1
Carlos has 38 apples.He puts 8 into each bag.If he fills many bags as possible ,how many apples are left?
answer choices:
6
5
4
2
A bus comes by every 12 minutes. The times from when a person arrives at the bus stop until the bus arrives follows a uniform distribution from 0 to 12 minutes. A person arrives at the bus stop at a randomly selected time. Round to 4 decimal places where possible.
a) What is the mean of this distribution?
b) What is the standard deviation?
c) What is the probability that the person will wait more than 5 minutes?
d) Suppose that the person has already been waiting for 2.8 minutes. Find the probability that the person's total waiting time will be between 3.4 and 5.7 minutes.
e) 10% of all customers wait at least how long for the train?
Answer:
a. The mean of uniform distribution is (a+b)/2, where a and b are limits of the uniform distribution. So, mean is (0+12)/2 = 6 minutes
b. Standard deviation is (a-b)^2/12 = (0-12)^2/12 = (-12^2)/12 = 144/12 = 12
c. Prob (Wait for more than 5 min) = (12-5)/(12-0) = 7/12 = 0.5833
d. So, given he has waited for 2.8 minutes, what is prob that he will wait between 3.4 and 5.7 minutes
= (5.7 - 3.4) / ((12-2.8) - 0)
= (5.7 - 3.4) / (9.2 - 0)
= 2.3/9.2
= 0.25
e. 10% of all customers wait at least how long for the train?
10% of all customers wait for?
Since its a uniform distribution, people are uniformly spread. So, the 10% of people will be in the top 10% percentile group of waiting time which essentially means:
0.10 = (12-b)/(12-0)
0.10 = (12-b)/12
1.2 = 12 - b
b = 12 - 1.2
b = 10.8 minutes
So, 10% of all customers wait for at least 10.8 minutes for the train.
ANYONE PLEASE HELP SHOW WORK PLEASE THIS IS DUE IN ONE HOUR‼️‼️‼️
Equation 1: 3y = 2x + 12
Slope: 2/3
X-Intercept: -6
Y-Intercept: 4
Equation 2: 2y - 4x = 12
Slope: 2
X-Intercept: -3
Y-Intercept: 6
Equation 3: 8y - 8 = 4x
Slope: 1/2
X-Intercept: -2
Y-Intercept: 1
Equation 4: 9y + 6x = -72
Slope: -2/3
X-Intercept: -12
Y-Intercept: -8
Equation 5: 4y = -8x + 32
Slope: -2
X-Intercept: 4
Y-Intercept: 8
Here is a graph showing all of the information and the simplified work:
Red line = equation 1
Blue line = equation 2
Green line = equation 3
Purple line = equation 4
Orange line = equation 5
Simplify 24÷⌈32÷(8−5)⌉−(−6)
The base of the isosceles triangle is parallel to x -axis and has
both end-points on the parabola [tex]y =x(10-x)[/tex]and its vertex
belongs to the x -axis. Find area of the triangle if the length of its
base is 8.
Answer:
36 square units
Step-by-step explanation:
y = x(10-x)
This is a down-opening parabola with axis of symmetry x = 5
Vertex of triangle (5,0)
Base of triangle is the horizontal chord of length 8, endpoints x = (1,9) and (9,9).
Height of triangle = 9
Area of triangle = ½·8·9 = 36 square units
what is 6 1/3-5 2/3 plz answer quick
******90 POINTS!!*****
Subtract 1/2h -1 from 3/4 h +4
A.1/4h+3
B.-1/4+5
C.1/4h+5
D.-1/4h+5
Help me plz
A basketball game is 40 minutes long. Carter plays
5
8
of a basketball game. To calculate how many minutes Carter played, find an equivalent fraction to
5
8
with a denominator of 40. Select the correct calculation.
A.
5
×
8
8
×
8
=
40
64
; 64 minutes
B.
5
×
8
8
×
5
=
40
40
; 40 minutes
C.
5
×
5
8
×
5
=
25
40
; 25 minutes
D.
5
×
4
8
×
5
=
20
40
; 20 minutes
Answer:
B.
Step-by-step explanation:
If you want the denominator to be 40, you need a multiple which can make 40, just do 40 ÷ 8 = 5.
Answer:
C. 25 minutes
Step-by-step explanation:
[tex]\frac{5}{8} * \frac{5}{5} = \frac{25}{40}[/tex]
You can multiply the top and bottom both by 5
Find the inequality represented by the graph.
Answer:
y > 4x - 2
Step-by-step explanation:
y-intercept is at -2
slope is rise by 4, run by 1
if you don't know where to shade, select a point and plug it in to see if T or F
example (0, 0)
is 0 > 4(0) - 2
is 0 > -2 True, so shade to the left because this is where (0,0) is
Answer:
Step-by-step explanation:
Analyze what each part of the inequality means mathematically.x is the solution of the problem, the quantity you are looking for.6x means that, for a reason given in the problem, the quantity you are looking for is multiplied by 6.− 18 means that, for a reason given in the problem, 18 is subtracted from 6x.≤ 18 means that after multiplying the solution x by 6 and subtracting 18 from it, the result is at most 18.Think of some different situations in which a quantity x might be multiplied by 6.You plant 6 seeds from x different seed packets, and you want to know from how many different seed packets you plants seeds.Build on the situation and adjust it to create a verbal description that takes all of the information of the inequality into account.Elrich planted 6 seeds from each of x different seed packets in his garden. To plant these seeds, he had to remove 18 plants that were already in the garden. Including the plants he removed and the seeds he planted, he expected to have at most 18 plants in the garden. From how many different seed packets did Elrich recently plant seeds?
Which of these is equal to 35 (8 – 3)?
A. (35 + 8) – (35 + 3)
B. (35 × 8 ) + (35 × 3)
C. (35 × 8) – (35 × 3)
D. (35 × 11)
Answer:
C.(35×8)-(35×3)
Step-by-step explanation:
35(8-3)
35×8-35×3
280-105
175
(35×8)-(35×3)
(280)-(105)
175
if it's helpful ❤❤❤
THANK YOU
Answer:
(35×8)-(35×3)
Step-by-step explanation:
Michael goes to the bank and puts $6000 in a savings account. He earns a simple interest of 3.5% If he leaves the money in the account for 2 years, what is the total amount in the account after the two years?
9514 1404 393
Answer:
$6420
Step-by-step explanation:
The account value can be found using the formula ...
A = P(1 +rt)
where P is the initial deposit, r is the annual rate, and t is the number of years.
A = $6000(1 + .035×2) = $6000(1.07) = $6420
The total amount after 2 years is $6420.
solving for JL. And I'm using pythagorean theorem. If possible I would like an explanation.
Answer: 21.4
Step-by-step explanation:
13² + 17² = C²
169 + 289 = C²
458 = C²
√458 = C
C = 21.4
Pythagorean Theorem: word problem:
Anita is admiring a statute in Morristown Park. The statute is 16 feet taller than she is, and Anita is standing 12 feet away. How far is it from the top of the statute to Anita's head? in feet
Answer:
20 Feet away
sqrt((a*a)+(b*b))
