The length of a rectangle is the width minus 5 units. The area of the rectangle is 36 units. What is the width, in units, of the rectangle

Step-by-step explanation:

[tex]a)\ 12:18:36=\dfrac{12}{6}:\dfrac{18}{6}:\dfrac{36}{6}=2:3:6\\\\b)\ 320:480=32:48=\dfrac{32}{16}:\dfrac{48}{16}=2:3\\\\c)\ 16mm:480=\dfrac{16mm}{16}:\dfrac{480}{16}=1mm:30[/tex]

To simplify the given ratios, find the greatest common divisor (GCD) and divide all terms by the GCD. The simplified ratios are 2:3:6, 2:3, and 1:30. Refer to the solution for more details.

To simplify ratios, we divide both sides by their greatest common divisor (GCD).

a) 12:18:36

Find the GCD of 12, 18, and 36. It is 6.

Divide each number by 6:

The simplified ratio is 2:3:6.

b) 320:480

Find the GCD of 320 and 480. It is 160.

Divide both numbers by 160:

The simplified ratio is 2:3.

c) 16mm:480

Find the GCD of 16 and 480. It is 16.

Divide both numbers by 16:

The simplified ratio is 1mm:30. However, if there is no importance to specify units, simply 1:30 would be enough.

Answer:

30 boxes

Step-by-step explanation:

~ You begin with the bottom row, which has 10 boxes.

~ You do 10 - 2 to get the number of boxes in the next layer, which is 8.

~ You then take 8 - 2, which is 6 for the next layer up.

~ Take 6 - 2, which is 4 for the next layer up.

~ Take away another two: 4 - 2 is 2.

~ When you take 2 away from 2, you get 0, so you have no more boxes.

~ Then, you add all the different amounts of boxes for each layer:

-> 10 + 8 + 6 + 4 + 2

-> Group smaller numbers together to get two bigger ones:

-> 18 + 12

= 30

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]y=3x-2[/tex]

Plot the line

To plot the line find the intercepts

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

[tex]y=3(0)-2=-2[/tex]

The y-intercept is the point (0,-2)

The x-intercept is the value of x when the value of y is equal to zero

so

For y=0

[tex]0=3x-2[/tex]

[tex]x=2/3=0.667[/tex]

The x-intercept is the point (0.667,0)

Plot the intercepts and then draw the line

Answer:

length×width

Step-by-step explanation:

Multiplying the length of a rectangle by the width will always give you the area. If one value is missing replace it with x.

Length x width should give you the answer your needing

The answer for your question is d

Answer:

D)15+15+10+10+6+6

Step-by-step explanation:

the formula to find the SA of a rectangular prism is:

2(lw)+2(lh)+2(hw)

where

l=length

w=width

and

h=height

let's substitute the values,3,2,and 5 into the equation

2(5*3)+2(5*2)+2(3*2)=62

62 is the SA

from the options:

10+6=16

10+10+6+6=32

15+15+10+10+6=56

and

15+15+10+10+6+6=62

so option D is correct

One is rational and one is exponential.

Answer:

Step-by-step explanation:

the relationship between the graphs of y=2^x and y=2^-x is : symmetry by y-axis

Answer:

4

Step-by-step explanation:

How many selfies did Tania take? (my first answer would be too many, but that's probably not the answer you're looking for :-) )

We know that each cousin appear 2 or 3 times overall.

If she would have taken each cousin exactly 2 times, that would be 16 cousins/photos

If she would have taken each cousin exactly 3 times, that would be 24 cousins/photos

We know there's exactly 5 cousins per photo...

so we have to find a multiple of 5 cousins/photos that is between 16 and 24.

The only possibility is 20 cousins/photos.  20 / 5 = 4 photos.

Final answer:

Tania took 4 selfies with her cousins. Each cousin appeared in exactly 2 selfies, with some appearing a third time to account for 16 total cousin appearances divided by 5 cousins per selfie.

Explanation:

The problem presented is a combinatorial puzzle involving selfies and cousins. Since each cousin is in either 2 or 3 pictures, we can try to minimize the number of pictures by assuming each cousin is in exactly 2 pictures first. If there are 8 cousins and 5 cousins per picture, then by multiplying 8 by 2 (every cousin appears exactly 2 times), we get 16 cousin appearances in total.

Since each selfie has 5 cousins, we divide the total cousin appearances by the number of cousins per picture: 16 / 5, which results in 3.2. However, since it's not possible to have a fraction of a picture, we need at least 4 selfies to cover all appearances. Yet, this leaves us 4 extra appearances (because 4 pictures would mean 20 cousin appearances in total).

These 4 extra appearances account for the fact that some cousins appear 3 times instead of just 2. Therefore, Tania must have taken 4 selfies with her cousins to cover the 16 cousin appearances with some cousins appearing an additional third time.

Answer:

The center is (-5,1)

and

the radius is 3

Step-by-step explanation:

The given equation of the circle is

[tex](x+5)^2+(y-1)^2=9[/tex]

We can rewrite this equation in the form;

[tex](x-h)^2+(y-1)^2=r^2[/tex]

This implies that;

[tex](x--5)^2+(y-1)^2=3^2[/tex]

When we compare, we get;

(h,k)=(-5,1) which is the center and r=3 the radius.

The answer is:

The center of the circle is located on the point (-5,1) and the radius is equal to 3 units.

To determine the center and the radius of a circle from its equation, we need to look for "h" and "k", being "h" the x-coordinate of the center and "k" the y-coordinate the center, then, calculate the radius.

Since we are given the ordinary equation of the circle, we can find the radius and the center directly.

The ordinary equation is:

[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]

Where,

h is the x-coordinate of the center

y is the y-coordinate of the center

r is the radius.

So, we are given the circle:

[tex](x+5)^{2} +(y-1)^{2} =9[/tex]

Which is also equal to:

[tex](x-(-5))^{2} +(y-(1))^{2} =9[/tex]

Where,

[tex]h=-5\\k=1[/tex]

[tex]r^{2}=9\\\sqrt{r^{2}}=\sqrt{9} \\r=3units[/tex]

Hence, the center of the circle is located on the point (-5,1) and the radius is equal to 3 units.

Have a nice day!

Answer : True

Explanation : It is according to distance formula.

The answer is True -Apex

Answer:

26 degrees.

Step-by-step explanation:

180 - 154 = 26

Answer:6/36

Step-by-step explanation:

The probability of rolling a number less than 5 and even on a die is 1/2.

To find the probability of rolling a number less than 5 and even, we need to determine the number of outcomes that satisfy both conditions and divide it by the total number of possible outcomes.

There are three outcomes that satisfy both conditions: {2, 4, 6}. The total number of possible outcomes is six since a die has six sides.

Therefore, the probability of rolling a number less than 5 and even is 3/6, which simplifies to 1/2.

These are the factors of 36:

1, 2, 3, 4, 6, 9, 12, 18, 36

1, 2, 3, 4, 6, 9, 12, 18, 36

1 x 36 = 36

1, 2, 3, 4, 6, 9, 12, 18, 36

2 x 18 = 36

1, 2, 3, 4, 6, 9, 12, 18, 36

3 x 12 = 36

1, 2, 3, 4, 6, 9, 12, 18, 36

4 x 9 = 36

1, 2, 3, 4, 6, 9, 12, 18, 36

6 x 6 = 36

Hope this helped!

Answer:

1, 2, 3, 4, 6, 9, 12, 18, 36

Step-by-step explanation:

I took test on edge 2021

Check the picture below.

recall that range is the interval over the y-axis for the graph of the function.

The range of the function shown is [4, ∝]

To learn more about range of the function, refer to

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rationalized form means that the number shoudnlt be a decimal that has never ending digits.

hope this answer to your question :)

Let's open up parenthesis:

20x+15-2x

Then simplify.

18x+15

...Which is A.

Hope I helped!

~Mshcmindy

Answer:

The correct answer is option A. 18x + 15

Step-by-step explanation:

It is given an expression in variable x,

5(4x + 3) - 2x

To simplify the given expression

5(4x + 3) - 2x = (5 * 4x) + (5 * 3) - 2x   (open the bracket)

  = 20x + 15 - 2x

  = 20x - 2x + 15

  = 18x + 15

Therefore the correct answer is 18x + 15

The correct option is option A.  18x + 15

Answer:

56

Step-by-step explanation:

through estimation, you can see that the lowest value is 84 and the highest value is 140. in order to calculate the range, subtract the highest value from the lowest value. 140-84=56. The range is 56.

Answer:

56

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

she has 16 quarters

1$=4 quarters

so 4$= 16 quarters

plus one more from the thirty cense

she could have 17 which is strange it’s not an option so go with B ig

Answer:

C

Step-by-step explanation:

The degree of a polynomial is determined by the value of the largest exponent of a term in the expression.

The largest exponent is 4 from the term [tex]x^{4}[/tex]

Hence the degree of the polynomial is 4 → C

Answer:

C (4)

Step-by-step explanation:

Answer:

1. .21

2. .79

Step-by-step explanation:

1. 103/490

2. 387/490

Answer:

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

Step-by-step explanation:

The slope of the line that has an x intercept of (2,0) and y-intercept of (0,-6) is:

Slope(s) = Change in y ÷ change in x

s = [tex]\frac{0 - -6}{2 - 0}[/tex] = 3

The slope of the perpendicular line to this line with slope of 3 has to have a slope of -1 ÷ 3 = [tex]-\frac{1}{3}[/tex]

Reason: The product of slopes of lines perpendicular to each other have to be -1

So the slope of the perpendicular line that passes through (-6,4) is [tex]-\frac{1}{3}[/tex]

As mentioned earlier, we derive a slope of a line by dividing the change in y by the change in x

Taking another point (x,y) on the line,

[tex]-\frac{1}{3}[/tex] = [tex]\frac{y - 4}{x - -6}[/tex]

[tex]-\frac{1}{3}[/tex] = [tex]\frac{y - 4}{x + 6}[/tex]

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

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

To find the slope-intercept equation of a line that passes through a given point and is perpendicular to another line, we can determine the slope of the given line and use it to find the equation.

To find the slope-intercept equation of a line, we need to know the slope and the y-intercept. Since the line that this problem is referring to is perpendicular to a line with an x-intercept of 2 and a y-intercept of -6, we can determine the slope of the line we are looking for by taking the negative reciprocal of the slope of the given line.

The slope of the given line is found using the formula: slope = (y2 - y1) / (x2 - x1)

Once we have the slope, we can use the point-slope form of a linear equation to find the equation of the line that passes through (-6,4) and has the determined slope. Finally, we can rearrange the equation to obtain the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.

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72 fish total. 12 fish in each tank.

_________________________

(g+t)n=f

g=Goldfish

t=Tetras

n=Number of fish tanks

*If I got it wrong, let me know*

Final answer:

The total number of fish in the tanks is 72.

Explanation:

To find the total number of fish in the tanks, we need to multiply the number of tanks by the sum of the goldfish and Tetras in each tank. Based on the information given, there are 6 tanks, and each tank has 7 goldfish and 5 Tetras.

So, the total number of fish (f) in the tanks can be calculated as:

f = (7 goldfish + 5 Tetras) * 6 tanks

f = (7 + 5) * 6

f = 12 * 6

f = 72

Therefore, the total number of fish in the tanks is 72.

Answer with step-by-step explanation:

Ordered pairs that satisfy the given equation:

x  0  1  2  3  4

y  5  3  1  -1  -3

To find the x-intercept, we will substitute y = 0 and solve for x to get:

[tex]0 = -2x + 5[/tex]

[tex] -2x = -5[/tex]

[tex]x = 5/2[/tex]

x-intercept = (5/2, 0)

To find the y-intercept, we will substitute x = 0 and solve for x to get:

[tex]y = -2(0) + 5[/tex]

[tex]y = 5[/tex]

y-intercept = (0, 5)

Answer: option d.

Step-by-step explanation:

To create a table of five ordered pairs that satisfy the equation, you need to give values to the variable "x" and substitute these into the function to find the corresponding value of "y":

For [tex]x=-2[/tex]

[tex]y = -2(-2) + 5=9[/tex]

For [tex]x=-1[/tex]

[tex]y = -2(-1) + 5=7[/tex]

For [tex]x=0[/tex]

[tex]y = -2(0) + 5=5[/tex]

For [tex]x=1[/tex]

[tex]y = -2(1) + 5=3[/tex]

For [tex]x=2[/tex]

[tex]y = -2(2) + 5=1[/tex]

Then, you can make the table:

x   -2  -1  0  1  2

y   9  7  5  3  1

To find the  x-intercept, substitute [tex]y=0[/tex] into the function and solve for "x". Then:

[tex]0 = -2x + 5\\\\x=\frac{-5}{-2}\\\\x=\frac{5}2}[/tex]

This is: ([tex]\frac{5}{2}[/tex], 0)

To find the  y-intercept, substitute [tex]x=0[/tex] into the function and solve for "y". Then:

[tex]y= -2(0) + 5\\\\y=5[/tex]

This is: (0,5)

It’s a rational number.

Hope this helps!

Answer:

Rational

Step-by-step explanation:

Irrational numbers are numbers that are infinite and non- repeating numbers

irrational- pi, square root of 2, etc

rational- anything else.

rational- .333333..., 1/3,  2, 1, -5, .111..., .7171..., etc.

4xk = 4K 4x4= 16 +4K + 7k = 16+ 11k ( I would double check me

Convert the exponential equation to a logarithmic equation using the logarithm base

(

4

)

(

4

)

of the right side

(

16

)

(

16

)

equals the exponent

(

2

)

(

2

)

.

log

4

(

16

)

=

2

Answer:

To find the circumference of a circle you have to multiply Pi (3.14) with the diameter of the circle.

You need to find circumference of the circle first

Answer:

the number is 5

Step-by-step explanation:

we can divide 24 by 4 in order to find the number

24/4 = 6

now we need to determine what number plus 1 equals 6 by subtracting 6 - 1

6 - 1 = 5

the answer is 5

we can check this by plugging 5 into the equation:

4(5+1) = 24

4(6) = 24

24 = 24

Answer:

a = -3

b = -2

c = 6

Step-by-step explanation:

The quadratic formula states that for an equation of the form:

[tex]ax^{2} + bx + c = 0[/tex]

The solution to that equation is:

[tex]\frac{-b±\sqrt{b^{2}-4ac}}{2a}[/tex]

In this case we have:

0=-3x^2-2x+6

Where:

a = -3

b = -2

c = 6

Answer:

  15 inches

Step-by-step explanation:

The perimeter of a polygon is the sum of the lengths of its sides. A square has 4 sides, all the same length. We can either add up the side lengths, or we can recognize that multiplication of one side's length by 4 is a useful alternative.

  perimeter = 4 × (3 3/4 in)

  = (4×3 +4×3/4) in

  = 12 in + 3 in = 15 in

10 questions = 40%

X question = 100%

40x = 1000

X = 25 questions

25 questions were on the test.

There are two ways to assess observational error: accuracy and precision. Precision measures how closely spaced or widely separated a set of measurements are from one another, whereas accuracy measures how near or far off a given set of measurements are from their true value.

Given

60% accurate means 40% inaccurate.

10 inaccurate answers means 40% inaccurate

10/40 x 100 = 25

To know more about accuracy refer to :

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