The rectangle shown as a perimeter of 70 cm and the given area. It’s length is 8 more than twice it’s width. Write and solve a system of equations to find the dimensions of the rectangle.

The length of the rectangle is ___cm and the width of the rectangle is ___cm.

Answer:

Quantitative data

Step-by-step explanation:

Data that can be represented in digits are referred to as quantitative data while data that are in categories or grouped are referred to as categorical data.

A breakdown is:

Quantitative-> Digits e.g. 20, 45

Categorical -> Groups and categories e.g. sex, level, etc.

We understand that weekly wage is represented in digits.

e.g.

The weekly wage of A factory worker is $500.......

From the above example, the wage ($500) is expressed in digits.

The analysis above shows that weekly wage is a quantitative data.

Answer: 449.48

Step-by-step explanation:

The amount of money in the account after 18 years will be $449.5.  

Compound interest is the addition of interest to the principal sum of a loan or deposit. Mathematically -

[tex]$A = P(1 + \frac{r}{n})^{nt}[/tex]

where -

[A] = final amount

[P] = initial principal balance

[r] = interest rate

[n] = number of times interest applied per time period

[t] = number of time periods elapse

Given is that a person places $308 in an investment account earning an annual rate of 2.1%, compounded continuously.

We have the expression for compounding as -

V = P[tex]$e^{rt}[/tex]

V = 308 x [tex]$e^{(0.021)(18)}[/tex]

V = 308 x [tex]$e^{0.378}[/tex]

V = 449.5

Therefore, the amount of money in the account after 18 years will be $449.5.  

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Answer:

.96 or 24/25

Step-by-step explanation:

Hope this helps!

Answer:

24/25

Step-by-step explanation:

3/25 × 8/1

8 × 3/25

3×8/ 25×1

24/25×1

24/25

Answer:

67

Step-by-step explanation:

m<1 and m<3 are the same so subtract 113x2, or 226

subtract 360 from 226

m<2+m<4=134

divide by 2 coz m<2 and m<4 are the same as well

m<4= 67

Answer:

y = x/2 + 4

Step-by-step explanation:

x = 2y + 4

divide 2 + 4 on both sides in order to isolate y by its self.

x/2 + 4 = 2y + 4/2 + 4

x/2 + 4 = y

y = x/2 + 4

The length of the kites longer diagonal will be 40 units. Option C is correct.

Pythagoras theorem is a basic relationship in geometry between the three sides of a right triangle.

The digrame attached shows the length of all the sides as;

AB=37 units

BE = 12 units

BD = 13 units

BE = 12 units

To find:

The length of the kite’s longer diagonal, AD

From the figure it is observed the longest diagonal is the addition of  the sides from the top of the triangle as;

From the triangle, AEB, according to Pythagoras theorem,

h²=p²+b²

AE² = AB²-BE²

AE²=37²-12²

AE=35 units

From the triangle according to Pythagoras theorem,

h²=p²+b²

DE²=BD²-BE²

DE²=13²-12²

DE = 5 unit

The length of the kites longer diagonal will be the sum of the two sides;

AD = AE+ED

AD= 35 + 5

AD = 40 units

The length of the kites longer diagonal will be 40 units.

Hence option C is correct.

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Answer:

Step-by-step explanation:

In math some strengths are strong number sense, like being able to quickly compare groups of items and know which is larger and which is smaller. Weakness in math are incomplete mastery of number facts and difficulty transferring knowledge along with making connections.

Answer:

A8 = 66 [8th term]

Step-by-step explanation:

Given the explicit arithmetic sequence An = -14 + 10n → -4 + 10(n-1)

To find the 8th term. An nth term is where n is n in the sequence. So substitute 8 for n, and simplify.

So A8 = -4 + 10(8-1) → -4 + 10(7) → -4 + 70 → 70 - 4 → 66.

The eighth term of the arithmetic sequence is 66.

Given that,

Based on the above information, the calculation is as follows:

An = 10n - 14

= 10(8) - 14

= 80 - 14

= 66

Therefore we can conclude that the eighth term of the arithmetic sequence is 66.

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Answer:

Please check the explanation.

Step-by-step explanation:

'3 meals a day' is a unit rate because there is a 1 in the denominator.

A unit ratio is a fraction between two dissimilar units with a denominator 1.

'3 meals a day' indicate that someone is eating 3 meals in one day.

i.e. unit rate = 3 meals / per day

Therefore, we conclude that '3 meals a day' is a unit rate because there is a 1 in the denominator.

The unchanging value of the ratio between the two proportional quantities is called a constant of proportionality.

For example,

we know that the equation

[tex]y=kx[/tex]

where [tex]k[/tex] is the constant of proportionality and '[tex]y[/tex]' and '[tex]x[/tex]' are two proportional quantities, directly proportional to each other.

Thus, The unchanging value of the ratio between two proportional quantities is called the constant of proportionality.

Answer:

Step-by-step explanation:

2x. X = 2. H4. 4=22. 7.(2-x) = x+1 mai. شاليها. • -x=x+1. + (3 - 3 x + 1 +. 6-3x = 4x + 4. Bebetto. 2=7x -. - 4-2=34+12. - ý 2=2y+12. +. 3X= 12-X.

Answer:

the answer is 50/5=89⅔

Answer:   [tex]\frac{1}{9}(x + 10)[/tex]

Explanation:

Consider something of the form ab + ac. We can factor 'a' out to get a(b+c), then use the distribution property to get back to ab+ac.

So factoring is basically reversing the distributive property.

In this case, a = 1/9, b = x and c = 10.

So,

[tex]\frac{1}{9}x + \frac{10}{9} = \frac{1}{9}x + \frac{1}{9}*10 = \frac{1}{9}(x+10)[/tex]

Answer:

If each book cost $20.45 then you times it by 21 and the answer you would get is 429.45

Step-by-step explanation:

im 99% that its correct

Answer:

He should expect to spend as much as 429.45 (to be exact)

Step-by-step explanation:

It's really just simple math $20.45 multiplied by 21 is 429.45 (:

I'm sorry if I'm wrong. Have a great day and good luck!

Answer:

105 students

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

Answer:

Label theta as the missing length. You are solving circle segment so use the formula

Area of Segment =  θ − sin(θ)2 × r2   (when θ is in radians)

Area of Segment = (  θ × π360 −  sin(θ)2  ) × r2   (when θ is in degrees)

So the answer would be 7.68

Step-by-step explanation:

Answer: x = 8

Step-by-step explanation: PLEASE GIVEBRAINLIEST IT HELPS ALOT

Answer:

x=8

Step-by-step explanation:

Follow the order of operations to simplify the equation:

5(x-3) +2x=41  

Start by multiplying into the parenthesis: 5x-15+2x=41

Combine like terms: 5x+2x-15=41 then simplify: 7x-15=41

Add 15 to both sides: 7x=56

Divide both sides by 7 to get x by itself: x=8

Hope this helps! (^-^)

Answer:

130 is the answer

Step-by-step explanation:

hope this helps

Answer:

C) x = -2

Step-by-step explanation:

We just subtract, -19 + 7 = -2

Answer:

0.48

Step-by-step explanation:

I timed the percentage 0.16×3=0.48

Answer:

Not congruent

Step-by-step explanation:

Missing angel Q andK

Answer:

x = -1

Step-by-step explanation:

When two lines are parallel, they have the same slope. To find the value of x, we first have to find the slope of the other line. We can do this by inputting the given points (-7, 10) and (9, 2) into the expression [tex]\frac{y2-y1}{x2-x1}[/tex]:

[tex]\frac{10-2}{-7-9}[/tex]

Solve:

10 - 2 = 8

-7 - 9 = -16

8/-16 can be simplified to -1/2.

The slope of the first line is -1/2. Now we can input the points (1, 3) (x, 4) into the expression used to find slope and equal that expression to the value of the first line's slope. We can do this because we know the slopes will be equal to each other.

[tex]\frac{4-3}{x-1}[/tex] = -[tex]\frac{1}{2}[/tex]

First simplify the left side:

4 - 3 = 1

[tex]\frac{1}{x-1}[/tex] =  -[tex]\frac{1}{2}[/tex]

Now, multiply both sides of the equation by x - 1 to isolate the x on the right side of the equation:

1 = [tex]\frac{-x+1}{2}[/tex]

Multiply both sides by 2:

2 = -x + 1

Subtract 1 from both sides:

1 = -x

Divide both sides by -1 to isolate the x:

-1 = x

The value of x is -1.

To check if our answer is correct we can put the value of x back into the expression used to find slope:

[tex]\frac{4-3}{x-1}[/tex]

[tex]\frac{4-3}{-1-1}[/tex]

Solve:

4 - 3 = 1

-1 - 1 = -2

The slope of the second line is -1/2, which is the same as the slope of the first line, which means that our answer is correct.

Hope this helps :)

Answer:

f(x)= -7 * 2^x

Step-by-step explanation:

The graph of the function goes through the point (0,−7) and (1,−14), so if f(x)= ab^x, then

f(0)= ab^0 = a

f(1)= ab^1 =ab

a=-7 and ab =-14 so,

b= -14/-7 = 2

thus the function is f(x)= -7 * 2^x

The exponential function y = -7b² is the required function.

An exponential function is a function which can be defined as y = aˣ,  Where 'x' is  a variable and 'a' is a constant.

From the given diagram,

The graph of the function go through the points (0,-7) and (1,-14),

And graph is exponential,

Let y= abˣ     (1)

y₀ = a and y₁ = ab

At x=0, y₀ = -7 ⇒a=-7

and ab=-14 ⇒ b= 2

Substitute the value of a and b in equation (1) ,

The function,

y = -7b²

The required function is y = -7b².

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Answer:

3(x+1)<18

3x+3<18

3x<15

x<5

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

given f(x) = 4x-10

to find f(3), we simply substitute x = 3 into the function:

f(x) = 4x-10

f(3) = 4(3)-10

= 12-10

= 2

Answer:

2

Step-by-step explanation:

Since f(3), replace all the x's with 3s

f(3) = 4(3) - 10

Answer:

huh?

Step-by-step explanation: