The area of a rectangle is 221 square meters. If the length of the rectangle is 4m longer than its width, find the dimensions.
Let w be the width of the rectangle in meters.
First find the width of the rectangle by solving for w.

Answer:

1. (0,5)

2. 3 / -1

3. F(x) = -3x + 5

Answer:

$1.50

Step-by-step explanation:

Given the total weekly pay of Hector modeled by the equation;

y = 10(8.5 + x)

We are to find the amount of Hector's raise per hour x given the total oay y = $100

Substitute y = 100 into the equation and find x  as shown;

y = 10(8.5 + x)

100 = 10(8.5+x)

100/10 = 8.5 + x

10 = 8.5 + x

x = 10 - 8.5

x = 1.5

Hence the amount of Hector's raise per hour is $1.50

Answer:

40.17

Step-by-step explanation:

4 ten: 4 × 10 = 40

17 hundredth: 17 × 0.01 = 0.17

4 ten and 17 hundredth in decimals: 40 + 0.17 = 40.17

Answer:$21.78

Step-by-step explanation:

Answer:

$21.78

Step-by-step explanation:

1,089 ÷ 50 = 21.78

Hello! Lets take a look.

To do this problem you would have to divide.

"75/9"

So what is the answer to that?

8!

Answer:

{1,2,29,58}

Step-by-step explanation:

As the only factors of 58 are {1,2,29,58} , there are no two consecutive integers whose product is 58

Answer:

1,2,29.58

Step-by-step explanation:

:)

Answer:

8.5% interest would yield $170 annually for a total interest earnings of $513

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer: 5 is made up of 5 times 1 of 5 ×4 = 20. A more mathematical way is to actually do this as a division problem of two fractions. 5 = 5 1. so divide 5 1 by 1 4. 5 1 1 4. This is a complex fraction make it simpler by multiplying both sides by the inverse of 1/4 which is 4/1.

Step-by-step explanation: Hope This Helps!!

From: Kageyama! <3 No need to thank me, it's what I do! ^^

Answer:

X = 53

X= 115 - 62

Step-by-step explanation:

Part A: 62 + X = 115

X= 115 - 62

X = 53

Part B:

APQ + QPR = PRD

Dont copy off of me because im not for sure  this is the right awnser            

The measure of angle x is 55.

And to get 55 you first need to find angle BPR.

So, what you would do is 180 - 120 and that equals 60.

So, this means that angle BPR is 60 degrees.

Ok, so now to find the angle of x.

You first need to do 65 + 60 + x =180.

Since we don't know the value of x, we do 65 + 60 and that gives us 125.

So, 180 - 125 = 55. 

So, X = 55.

Answer:

true

Step-by-step explanation:

taking the test

When solving an absolute value inequality, the fact of whether it is a "greater than/greater than or equal to" as opposed to "less than/less than or equal to" will change the way to solve. It is True.

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true.

These values are called solution to that equation or inequality.

A Set of such values is called solution set to the considered equation or inequality.

When solving an absolute value inequality, the fact of whether it is a "greater than/greater than or equal to" as opposed to "less than/less than or equal to" will change the way you solve the problem, depending on which sign it is.

The given statement for inequality is True.

Learn more about inequalities here:

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Answer:

actually it's 10.2 miles

Step-by-step explanation:

he drove six miles at first and than 8 miles south, afterwards he hiked the rest of the way to the top.

Answer:

I believe the answer is 210.

Step-by-step explanation:

Answer:

Assume the unknown value is 'Y'

189 = 90% x Y

189 =

90

100

x Y

Multiplying both sides by 100 and dividing both sides of the equation by 90 we will arrive at:

Y = 3 x

100

90

Y = 210%

Answer: 189 is 90 percent of 2

Step-by-step explanation:

theres a another way

189x100÷90 which your answer will give 210

Answer:

The General Rule

Shape Sides Each Angle

Octagon 8 135°

Nonagon 9 140°

... ... ...

Any Polygon n (n−2) × 180° / n

Answer:

Step-by-step explanation:

4%

Answer:

3/5

Step-by-step explanation:

15 / 5 = 3; 25/5 = 5 ; the answer is 3/5 or 0.6

Answer:

Step-by-step explanation:

Step one:

given data

initial height of plane= 20000ft

rate of descending= 25ft per minute

let x be the number of minutes it took the plane to descend

and let y be the height after x minutes

Step two:

Required

the mathematical expression for the height

the expression for the situation mathematically is

y=20000-25x

The difference of the expression is 6x² - 15x - 4.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:

(Number/variable, Math Operator, Number/variable) is an expression.

We have the Expression as

(4x² - 12x + 6) and (10 + 3x -2x²)

Now, simplifying the expression

= 4x² - 12x +6 - (10 + 3x -2x²)

= 4x² -12x+ 6 -10 -3x + 2x²

= 6x² - 15x - 4

Thus, the simplified expression is 6x² - 15x - 4.

Learn more about Expression here:

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Answer:

he is going 10 mph and the equation is 1x = 10y

Answer:

y=3/2x-8

Step-by-step explanation:

Step 1: Begin by distributing the 3/2 to the parentheses. This would result with 3/2x-6.

Step 2: Subtract both sides by 2 to isolate the variable, y. This would result with y=3/2x-8.

Answer:8.5

Step-by-step explanation:

Answer:

step one

find the difference between marked price and the selling price, which is 24-15.50=8.5

step two apply the formula which is, difference divided by marked or original price and then multiple by 100

eg (8.5÷24) × 100= 35.4

so now round off to the nearest percent that's 35%

Answer:

r is equal to negative 14.

Step-by-step explanation:

Answer:

(2, 8)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

r = 4s

r = 1/2s + 7

Step 2: Solve for s

Substitution

Step 3: Solve for r

Answer:

s = 2

r = 8

Step-by-step explanation:

subsitution is were you plug in a systerm into the other problem

since they give you R = 4s you take 4s and plug it in were r is in the other equation (subsitution)

so now you have 4s = 1/2s+7

now you want to solve for s so your going to subtract 1/2s from both sides to cancle out the 1/2s --> 4s - 1/2s = 7 --> 3 and 1/2s = 7

now divide both sides by 3 1/2 to get s alone s = 7/3 and 1/2

s = 2

now we have s we take that and plug it into r = 4s

subsitute S as 2  --> r = 4(2)

r = 8

Answer:

AB and DE's length are congruent, meaning they are the same.

Step-by-step explanation:

If we made a line between C and F, and flip it on the other side. We would see it is congruent.

Answer: The dependent variable is the Y axis of a graph, or the side of the graph that is vertical. The independent variable is the X axis of a graph, or the side of the graph that is horizontal. Domain is the input of a mathematical function, and the range is the output!

Hope this helps :)

range is the difference between the largest and smaller; “ To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.”

domain is the set of all possible x-values which will make the function able to work and will output real y-values. You must remember that in a function x can NEVER have more than one output (y)

“A independent variable is a variable (often denoted by x ) whose variation does not depend on that of another”. The independent variable is the variable the experimenter changes or controls and is assumed to have a direct effect on the dependent variable

“A dependent variable is a variable (often denoted by y ) whose value depends on that of another.” The dependent variable is the variable being tested and measured in an experiment, and is 'dependent' on the independent variable.

I hope that was understandable

Answer/Step-by-step explanation:

✔️Equation for line a:

Line a is a vertical line, hence, the slope is undefined. Equation of a vertical line is given as x = k. Where k is the x-intercept and would remain the same irrespective of the corresponding y-coordinates of all the other points on the vertical line.

In line a, the x-intercept is -4. Therefore, the equation for line a would be:

✅ x = -4

✔️Equation for line b:

Line b is also a vertical line, and would be represented as x = k.

The value of k is the point olwhere the line intercepts the x-axis.

Thus, k = 4.

Equation for line b would be:

✅ x = 4

✔️Equation for line c:

Line c is an horizontal line. Slope (m) of a horizontal line is always 0.

It can be represented in slope-intercept form, y = mx + b, where,

m = slope = 0

b = y-intercept = 4 (this is where the y-axis is intercepted by the line)

Thus, substitute m = 0, b = 4 in y = mx + b.

The equation for line c would be:

y = (0)(x) + 4

✅y = 4

✔️Equation for line d:

Slope (m) = 0

y-intercept (b) = -2

Substitute m = 0, and b = -2 in y = mx + b

Equation for line d awould be:

y = -2

✔️Equation for line e:

Slope (m) = [tex] \frac{rise}{run} = -\frac{3}{4} [/tex]

y-intercept (b) = 1

Substitute m = -¾, and b = 1 in y = mx + b

Equation for line e would be:

✅y = -¾x + 1