The length of a rectangle is 10 meters more than its width. If the perimeter of the rectangle is 80 meters, find the dimensions of the rectangle?

The capacity of the mug is 1.2. The capacity of the mug can be found by using the equation C = (3/4) ÷ (5/8).

It is the maximum amount of output that can be produced in a given period of time. Capacity is usually expressed in terms of units per unit of time, such as gallons per minute or passengers per hour.

In this equation, 3/4 represents the amount of water in the mug, and 5/8 represents the amount the mug is full.

Let the capacity of the mug be x.

Given,

Mug is 5/8 full and contains 3/4 of water

So, 5/8 of the mug is filled with water

Therefore,

5/8 of x = 3/4

(5/8 )x = (3/4)

x = (3/4) × (8/5)

x = (24/20)

x = 1.2

Therefore, the capacity of the mug is 1.2.

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The Expression (x + 2y – 2z) – (2x – 5y – 6z) is equivalent to -x + 3y + 5z

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

(x + 2y – 2z) – (2x – 5y – 6z)

so, (x + 2y – 2z) – 2x + 5y + 6z

= ( x- 2x) + (2y+ y)+ ( 6z- z)

=  -x + 3y + 5z

Hence, (x + 2y – 2z) – (2x – 5y – 6z) is equivalent to -x + 3y + 5z

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Answer:

this list

Step-by-step explanation:

1×12000=12000

2×6000=12000

3×4000=12000

4×3000=12000

5×2400=12000

6×2000=12000

8×1500=12000

10 ×1200=12000

12 ×1000=12000

The expression that shows the total oranges amir got in total is x-12 = 4. And amir got 16 oranges in all

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1. For example, x² is a variable raised to the second power, but x is a variable raised to the first power.

example of linear expression is 2x+2y = 5. This is a linear expression with two variables x and y.

Let's represent the total no of oranges by x.

Therefore ,

2 bags of oranges with 6 in each bag will amount to 2×6 = 12 oranges.

an addition of 4 loose oranges . Therefore the total number of oranges = 12+4 = x

x = 12+4 or x-12 = 4

= 16

therefore amir got 16 oranges in all

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Answer:

infinitely many solution

Step-by-step explanation:

HOPE IT HELPS

Answer:

y=1x-7

Step-by-step explanation:

Answer:

sorry i can't help

Step-by-step explanation:

Answer: 11

Step-by-step explanation: 7 plus 11 equals 18

Answer:

The second, fourth and fifth answers are correct, as they all have a slope of 2.

Step-by-step explanation:

To find the answer to this, all you need to do is see which equations have the same coefficient to x.

In this case, the second, fourth and fifth one all have an x coefficient of 2, which means that those three lines are parallel.

Answer:

2;4;5=yes,correct --a slope of 2 :D

\\\\\\Hny!\\\\\\

1;3;6=no,incorrect

Step-by-step explanation:

The 3 sets of data with the same median but different mean are given as follows:

The mean of a data-set is calculated as the sum of all values in the data-set divided by the number of values in the data-set.

The median of a data-set is the middle value of the data-set, the value which 50% of the data-set is less than and 50% of the data-set is more than.

Hence, for a data-set of five elements, which is an odd cardinality, the median is the third element of the ordered data-set.

Then the three data-sets can be constructed with five elements, in which the third element is the same but the sum of the five elements is different.

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Answer:

which ever diagram with 11.6 at the starting point

Answer:

triangle XYZ is similar to triangle RPQ

scale factor = 2/5

Step-by-step explanation:

Angles X and R are given as congruent.

Angles Z and Q are right angles, so they are congruent.

Then, angles Y and P must be congruent.

The similarity statement is

triangle XYZ is similar to triangle RPQ

To find the scale factor, divide the length of a side of the image by the length of the corresponding side in the original.

10/25 = 2/5

The scale factor is 2/5.

Answer:

The answer is 32

Step-by-step explanation:

The formula for finding the area of a trapezoid is:

         ((base 1 + base 2)/ 2 )* h

Now all you have to do is substitute the numbers in.

Note: bases will always be the ones like 12 and 4 in this case. We have just named then 1 and 2.

Answer:

32 square units

Step-by-step explanation:

\(\displaystyle A=\frac{1}{2}(b_1+b_2)h=\frac{1}{2}(12+4)(4)=\frac{1}{2}(16)(4)=\frac{1}{2}(64)=32\)

Note that \(b_1\) and \(b_2\) are the lengths of each base of the trapezoid, so it doesn't matter which is which.

Answer:

-2x - 4

Step-by-step explanation:

Is your expression

-2 x x = -2x

-2 x 2 = 4

therefore, your expression would be:

-2x - 4

Answer:

-2(x + 2)= -2x - 4

Step-by-step explanation:

The equation of the function having a point (10,0) and slope 1 is x-y=10.

The slope of a line can be used to gauge how steep it is. Mathematically, slope is calculated as rise over run (change in y divided by change in x).

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign.

Slope= y-y₁ = m(x-x₁)

Given that,

Point (10, 0) (x₁, y₁) is on the graph

Moreover, slope is 1.

y-y₁ = m(x-x₁)

y-0=1(x-10)

y=x-10

x-y=10

Therefore, the equation is x-y=10.

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Step-by-step explanation:

88 X 0,15 =....

... X 1.05 = answer

Answer:

The best estimate of the mean of the population is 50,000 miles, which is the sample mean.

To make a better inference, we know that the 95% confidence interval for the mean is (49,306; 50,694).

Step-by-step explanation:

The unbiased point estimation for the population mean tread life is the sample mean (50,000 miles), as it is the only information we have.

Although, knowing the standard deviation, we can calculate a confidence interval to make a stronger inference.

We calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=50000.

The sample size is N=100.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

\(s_M=\dfrac{s}{\sqrt{N}}=\dfrac{3500}{\sqrt{100}}=\dfrac{3500}{10}=350\)

The degrees of freedom for this sample size are:

\(df=n-1=100-1=99\)

The t-value for a 95% confidence interval and 99 degrees of freedom is t=1.98.

The margin of error (MOE) can be calculated as:

\(MOE=t\cdot s_M=1.98 \cdot 350=694.48\)

Then, the lower and upper bounds of the confidence interval are:

\(LL=M-t \cdot s_M = 50000-694.48=49306\\\\UL=M+t \cdot s_M = 50000+694.48=50694\)

The 95% confidence interval for the mean is (49306, 50694).

y = 3x + 13

y = 7x + 17

Using the elimination method. Multiply both equations by common their common factors, 7 and 3. In order to cancel out the x variable.

7y = 21x + 91

3y = 21x + 51

Subtract the equation.

4y = 40

y=10

substitute 10 to either one of the equations to solve for x

10=3x+13

x=-1

Answer:

7y=21×+91

3y=21×+51

subtract the equation

4y=40

y=10

The inequality represented by the graph is given as follows:

y > 3x - 4.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The graph crosses the y-axis at y = -4, hence the intercept b is given as follows:

b = -4.

When x increases by 1, y increases by 3, hence the slope m is given as follows:

m = 3.

Hence the equation of the line is:

y = 3x - 4.

The inequality is composed by the values to the right (greater) of the line, and has an open interval due to the dashed line, hence:

y > 3x - 4.

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Step-by-step explanation:

a) 13=$7

x=$1

(do cross multiplication)

13=7x

x=1.86 pounds

Answer:

Step-by-step explanation:

im on the same one

sorry i couldent help

Answer:

10.4

Step-by-step explanation:

√(5--5)²+(0-3)²

√100+9

√109=10.4

Answer:

To find the inverse of the function.

Given function is,

we know that,

The inverse function returns the original value for which a function gave the output.

Consider the function,

replace x by y and y by x, we get,

Solve for y we get,

The inverse function f(x) is,

The inverse function is,

The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

Brian is constructing figures inscribed in circle C.

Equilateral triangle MNQ inscribed in circle C:

This option is possible since the points M, N, and Q are labeled and they lie on circle C.

Equilateral triangle ANP inscribed in circle C:

This option is not possible. The points A and P are labeled, but the third vertex of the equilateral triangle is not specified.

Regular hexagon AMNBPQ inscribed in circle C:

This option is possible since the points A, M, N, B, P, and Q are labeled and they lie on circle C.

Square MNPQ inscribed in circle C:

This option is not possible based on the given information. The label points do not form a square.

Square ANBQ inscribed in circle C:

This option is not possible . The points A, N, B, and Q are labeled, but they do not form a square.

The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

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The value of the given summation is:

\(\sum (29a_i - 13b_i) ]= -30\)

Here we know that the sums are:

\(\sum a_i = -10\\\\\sum b_i = -20\)

And we want to find the value of the sum:

\(\sum (29a_i - 13b_i)\)

First we can distribute the sum to get:

\(\sum 29a_i + \sum - 13b_i\)

And take the coefficients out of the sum:

\(29\sum a_i -13\sum b_i\)

Now replace the known values:

\(29\sum a_i -13\sum b_i = 29*-10 - 13*-20 = -290 + 260 = -30\)

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Answer:

18.4 years

Step-by-step explanation:

The compound interest formula:

\(A=P(1+\frac{r}{n} )^{nt}\)

For this problem we have

\(P= 2000\\r= 0.06\\n= 4\\A= 2000(3)= 6000\)

We plug our numbers...

\(6,000= 2,000(1+\frac{0.06}{4} )^{4t} \\\)

Then divide

\(6,000/2,000=3\)

\(3= (1.015)^{4t}\)

Apply log both sides

\(3log=(1.015) 4tlog\)

Solve for t

\(t= \frac{3log}{(4log(1.015))} =18.4 years\)

Using area formula,

a. Area of the trapezium = 47.5m².

b. Area of parallelogram = 54inches².

The area of a thing is the amount of space it occupies in two dimensions. It is a way to count how many unit squares completely round the surface of a closed figure. The standard unit of area is the square unit, which is usually expressed as square inches, square feet, etc.

a. Sides of the trapezium are, a = 5m and b = 14m.

Height, h = 5m.

Area of the trapezium = (a+b)/2 × h

= (5 + 14)/2 × 5

= (19× 5)/2

= 95/2

= 47.5m².

b. Height of parallelogram = 6inches.

Base of parallelogram = 9inches.

Area = b × h

= 6 × 9

= 54inches².

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Based on the information, the product of the first equation is 9p-75, and the product of the second equation is -47.

We can use the formula:

Where a and b can be any expressions. Substituting the first expression into the formula:

Substituting the second equation into the formula:

Therefore, the product of the first equation is 9p-75 and the product of the second equation is -47.

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Answer:

B. 8.6 units

Step-by-step explanation:

I've plotted both points on the picture below. The distance between the two points is 8.6023252670426 units, which is closest to B, 8.6 units. As a result, B is the answer to this question.