the length of a rectangle is 10 meters more than the width. if the perimeter is 72 meters, what are the length and width?
Answers
Check the picture below.
Step-by-step explanation:
let's say a is length, and b is width:
a = 10 + b
after this, we can write:
2(a + b) = 72
2(10 + b + b) = 72
2(10 + 2b) = 72
20 + 4b = 72
4b = 72 - 20
4b = 52
b = 52 ÷ 4
b = 13
if b = 13, then a = 10 + b = 10 + 13 = 23
so: a = 23 and b = 13
Related Questions
What is the quotient of 0 and 15?
15
-15
0
Undefined
Answers
ANSWER :
it's 0Step-by-step explanation:0 / 15 = 0 + 0/15 = 0
PLEASE HELP WITH THE FOLLOWING
Answers
Answer:
2a:
[tex]a^6+\frac{64}{125} =(a^2)^3+(\sqrt[3]{\frac{64}{125} })^3[/tex]
Now, we can apply the sum of cubes formula that goes:
[tex]x^3+y^3=(x+y)(x^2-xy+y^2)[/tex]
Therefore,
[tex](a^2)^3+(\sqrt[3]{\frac{64}{125} })^3=(a^2+\frac{4}{5})(a^4-\frac{4a^2}{5}+(\frac{4}{5} )^2)[/tex]
[tex]=(a^2+\frac{4}{5})(a^4-\frac{4a^2}{5}+\frac{16}{25} )[/tex]
---------------------------------------------
2b:
[tex]16x^8-y^4=(4x^4)^2-(y^2)^2[/tex]
Now, we can apply the difference of two squares formula that goes:
[tex]x^2-y^2=(x+y)(x-y)[/tex]
Therefore,
[tex](4x^4)^2-(y^2)^2=(4x^4+y^2)(4x^4-y^2)[/tex]
You can apply the difference of two squares formula again:
[tex](4x^4+y^2)(4x^4-y^2)=(4x^4+y^2)((2x^2)^2-y^2)[/tex]
[tex](4x^4+y^2)(4x^4-y^2)=(4x^4+y^2)(2x^2+y)(2x^2-y)[/tex]
Would appreciate the help
Answers
i dont know :))))))))))))))))))))))
Solve 9x - 5 = 9x - 5. How many solutions does the equation have?
Show your work.
Answers
9514 1404 393
Answer:
an infinite number
Step-by-step explanation:
Subtract 9x -5 from both sides.
(9x -5) -(9x -5) = (9x -5) -(9x -5)
0 = 0
This is true for all values of x. There are an infinite number of solutions.
_____
Additional comment
When you subtract one side of the equation from the other, there are three possible results:
ax +b = 0 . . . . (a≠0) one solution (x = -b/a)1 = 0 . . . . . . . . no solutions--not true for any value of the variable0 = 0 . . . . . . . infinite solutions--true for every value of the variableA jury pool has 25 men and 19 women, from which 12 jurors will be selected. Assuming that each person is equally likely to be chosen and that the jury is selected at random, use combinations to find the probability that the jury consists of
Answers
Answer:
The number of possible juries is C(30,12) = 30! / (30–12)! * 12! = 86,493,225. The number of possible all-female juries is C(16,12) = 16! / (16–12!) * 12! = 1820. So the probability of an all-female jury is 1820 / 86,493,225 = 0.0021%.
Step-by-step explanation:
you will receive cookie and 100 points if you help me
Answers
Answer:
-8.45
Step-by-step explanation:
Look at -10 and 0 on the number line. I used a ruler to help me, and found that A and B were about 1 - 1.3 cm apart. I looked at the options and found that -8.45 was the closest.
However, another way you could of worked this out would be to look at your options and eliminate the ones you know don’t work. Then look at your options available and work it out from there.
determine x+3 is a factor of P(x)=-2x^3-4x^2-7
Answers
Answer:
p(0)= -7
Step-by-step explanation:
The vertex angle of an isosceles triangle is 127º. What is the measure of each base angle?
Answers
Answer:
Step-by-step explanation:
(180 - 127) / 2 = 26.5°
-3/5 divided by 5
full steps
Answers
Answer:
-3/25
Step-by-step explanation:
[- 3 / 5 ] / 5
- 3
5
-------
5
1
-------------------
- 3 x 1 = -3
5 x 5 = 25
-------------------
-3 / 25
For each of the following equations, show that the given value of x is a solution of the equation by direct substitution.
a) x = 4/3, Equation: 3x^2 + 5x - 12=0
b) x=1 + square root 6 , Equation: x^2 - 2x-5=0
c) x= 1 + 2i, Equation: x^2 - 2x+5=0
Answers
a.
The value x = 4/3 is a solution of the equation 3x² + 5x - 12 = 0
Since the equation is 3x² + 5x - 12 = 0, if x = 4/3, is a solution, substituting x = 4/3 into the equation will make the equation will make the left hand side equal zero.
So, 3x² + 5x - 12 = 0
Substituting x = 4/3, we have
3(4/3)² + 5(4/3) - 12
= 3(16/9) + 20/3 - 12
= 16/3 + (20 - 12 × 3)/3
= 16/3 + (20 - 36)/3
= 16/3 - 16/3
= 0
So, x = 4/3 is a solution of the equation 3x² + 5x - 12 = 0
b.
The value x = 1 + √6 is a solution of the equation x² - 2x - 5 = 0
Since the equation is x² - 2x - 5 = 0, if x = 1 + √6, is a solution, substituting x = 1 + √6 into the equation will make the equation will make the left hand side equal zero.
So, x² - 2x - 5 = 0
Substituting x = 4/3, we have
x² - 2x - 5 = (1 + √6)² - 2(1 + √6) - 5
= (1² + 2√6 + (√6)²) - 2 - 2√6) - 5
= 1 + 2√6 + 6 - 2 - 2√6) - 5
= 2√6 + 6 + 1 - 2√6) - 5 - 5
= 2√6 + 7 - 2√6) - 7
= 2√6 - 2√6 + 7 - 7
= 0 + 0
= 0
So, x = 1 + √6 is a solution of the equation x² - 2x - 5 = 0
c.
The value x = 1 + 2i is a solution of the equation x² - 2x + 5 = 0
Since the equation is x² - 2x + 5 = 0, if x = 1 + 2i, is a solution, substituting x = 1 + 2i into the equation will make the equation will make the left hand side equal zero.
So, x² - 2x + 5 = 0
Substituting x = 1 + 2i, we have
x² - 2x + 5 = (1 + 2i)² - 2(1 + 2i) + 5
= (1² + 2(2i) + (2i)²) - 2 - 4i + 5
= 1 + 4i - 4 - 2 - 4i + 5
= 4i + 1 - 4 - 2 - 4i + 5
= 4i - 5 - 4i + 5
= 4i - 4i + 5 - 5
= 0 + 0
= 0
So, x = 1 + 2i is a solution of the equation x² - 2x + 5 = 0
Learn more about quadratic equations here:
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Which value is the solution to the following equation? 26 = 2x - 4
Answers
Answer:
15
Step-by-step explanation:
26 = 2x - 4
2x = 26 + 4
2x = 30
x = 30 / 2
x = 15
Please I did help with this
Answers
Answer:
13.1
Step-by-step explanation:
HELP WITH VENN DIAGRAMS PLEASE ILL GIVE BRAINLIEST
Answers
Answer:
When selecting physics students at random, there is a 60% chance to select a student who also studies math.
Step-by-step explanation:
27 students studied math and physics.
27 + 18 = 45 students studied physics.
You can ignore the rest of the numbers because of this:
"given that they study physics".
Physics students are our total population now, and 27 of the 45 physics students study both math and physics.
[tex]\frac{27}{45} =0.6[/tex]
When selecting physics students at random, there is a 60% chance to select a student who also studies math.
How do I get a percentage of a number
Answers
Answer:
Convert the problem to an equation using the percentage formula: P% * X = Y.
P is 10%, X is 150, so the equation is 10% * 150 = Y.
Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.
The graph of a linear function has a negative slope. Describe the end behavior of this function.
As the value of x increases, the value of y [ A. decreases , B. increases ].
As the value of x decreases, the value of y [ A. decreases , B. increases ].
Answers
Answer:
1. A
2. B
Step-by-step explanation:
It would look like y = -m(x) + b.
For example, m is 1 and b is 0. (You can try any random numbers, but I tried to find the simplest one so it's easy for us to see.) The equation will be y= -x. (you can substitute random numbers in here, too)
If x = 3, y = -3 ; x = 5, y = -5 (x increases, y decreases)
If x = -1, y = 1 ; x = -5, y = 5 (x decreases, y increases)
As you can see from the example,
If the value of x increases, the value of y will decrease and vice versa
For the negative slope equation y = -x as the value of x increases y decreases.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.
Given that the graph of a linear function has a negative slope. Suppose the equation with a negative slope is y = -x.
It would look like y = -m(x) + b.
As an illustration, m is 1 and b is 0. (You can try any random number; however, I looked for the most straightforward one so that we could easily observe it.) It will be written as y=-x. (You can also omit this and use random numbers)
If x = 3, y = -3 ; x = 5, y = -5 (x increases, y decreases)
If x = -1, y = 1 ; x = -5, y = 5 (x decreases, y increases)
Therefore, for the negative slope equation y = -x as the value of x increases y decreases.
To know more about slopes follow
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What is the distance between points (8, 3) and (3, 1) on the coordinate plane?
Answers
Find the distance in the y. 3-1= 2
This can be used with the Pythagorean theorem. C^2 = A^2 + B^2
A can be 5. B can be 2.
C^2 = 25 + 4
So C equals the square root of 29 (25+4)
The answer is square root of 29.
Complete the table below by finding the unknown principal P, rater, time t, and interest /.
Principal P
(a)
480,000
250,000
980,000
Rate r
6%
(b)
5.5%
0.8%
Time t
10
15
(c)
3.5
Interest /
9,000
180,000
68,750
(d)
12
Answers
Answer:
use these formulas to solve
Step-by-step explanation:
Principal( P) = interest / rate x time
Rate (R) = intrest / principal x time
Intrest (I) = PRT
I need some help math
Answers
Answer:
ok I will help you please wait for some time
Answer:
23
Step-by-step explanation:
Add the total number of hours in the given situation
Please help with this
Answers
==========================================
Explanation:
A) This is true because there are 4 cups of green and 2 cups of white. Each box represents 1 cup.
B) This is false. The ratio 4:2 reduces to 2:1 when describing the ratio of green to white. We have twice as many green compared to white. Choice B describes the other way around. The order is important.
C) This is true. We have 2 cups of white and 4 cups of green.
D) False. There are 6 cups total, but only 2 white (not 4).
E) True. This is a verbal way of describing the ratio 4:2, of green to white.
F) False. The ratio is the other way around. See choice E.
G) False. There are 4 cups of green, not 6. There are 6 cups total, not 4. The ratio of green to total is 4:6.
H) True. We have 2 cups of white and 2+4 = 6 cups total.
Convert 7% as decimal
Answers
7% as a decimal woul be 0.07
If you have any doubt leave a comment
Answer:
Your answer is 0.07.
7% = 0.07
Which of the following statements is most correct? Select one:
a. Other things equal, the higher the dividends, the lower the stock price.
b. Other things equal, the investment holding period does not affect the stock price.
c. Other things equal, the higher the required rate of return, the higher the stock price. d. Other things equal, the higher the dividend growth rate, the lower the stock price.
e. Other things equal, the lower the market value of debt, the lower the value of equity.
Answers
Answer:a
Step-by-step explanation:
the answer is a because it is
lisa's father gave her $1032 to buy a present. this covered 3/5 of the cost. How many did the present cost?
Answers
Answer:
$1720
Step-by-step explanation:
1032 is 3/5 of the cost.
Divide 1032 by 3/5, which is 1720.
Thus, the answer is $1720.
The cost of the present day will be $1,720.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Lisa's father gave her $1032 to buy a present. This covered 3/5 of the cost.
The cost of the present day will be given by the division of the numbers 1032 and 3/5.
⇒ 1032 / (3/5)
⇒ 1032 x 5 / 3
⇒ $1,720
The cost of the present day will be $1,720.
More about the Algebra link is given below.
https://brainly.com/question/953809
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$112,500 is the price of 75 towels, how much does 1 cost?
Answers
Answer:
1500
Step-by-step explanation:
112500/75=answer
answer=1500
Answer: 1 towel cost 1,500
Step-by-step explanation: When you divide $112,500 by 75 you get 1,500.
7+q+4=4+7+q
What property?
Answers
Answer:
Commutative Property of Addition
Step-by-step explanation:
This is because the commutative property of addition and multiplication is
[tex]a+b=b+a\\a*b=b*a[/tex]
and as an example
[tex]5+9=14 \\9+5=14\\10*6=60\\6*10=60[/tex]
14/15 + 8/15 + 4/5 please help
Answers
Answer:
[tex]=\frac{34}{15}[/tex]
[tex]=2\frac{4}{15}[/tex]
Step-by-step explanation:
With unlike denominators find the Least Common Denominator (LCD)
LCD = 15
Multiplying numerators and denominators to get the LCD in all fraction denominators
[tex]=\frac{14}{15} +\frac{8}{15} +\frac{4*3}{5*3}[/tex]
With like denominators we can operate on just the numerators
[tex]=\frac{14+8+12}{15}[/tex]
[tex]=\frac{34}{15}[/tex]
Simplifying the answer
[tex]=\frac{34}{15} \\=2\frac{4}{15}[/tex]
Last month, Irma’s deliveries consisted of $33,600 in groceries, and she made 140 deliveries of pet supplies. How much does Irma earn in total for the month?
Answers
Answer:
If in you little HMH thing it is 4044.8
Frank had 42 rocks that he wanted to share with his friends. If he gave each friend the same number of rocks(and kept the same number of rocks for himself), how many rocks did each person get ?
Answers
Answer:6. 42 split 7 ways is 6
Step-by-step explanation:
Which equation represents a circle whose center is (3,-1) and whose radius is V6?
Answers
Step-by-step explanation:
(Pie)r^2 that is the area of a circle
Your dinner bill is 93.24$
Answers
Answer:
yeah is that all?
Step-by-step explanation:
i feel like I'd understand if there was more to this
Line /1 and line /2 are parallel line
Answers
Step-by-step explanation:
1=56⁰
2=56⁰
3=68⁰
4=68⁰
5=56⁰
6=112⁰
7=180-124 Ans=56⁰
8=68+56 Ans=124⁰
9=68⁰
10=112⁰
11=124⁰
12=56⁰
IT TOOK 15MINS mark me BRAINLIEST pls!