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Answer:

Length of the rectangle = 14.5 inches

Width of the rectangle = 37.5 inches

Step-by-step explanation:

Let the length of a rectangle = a inches

Since, width of the rectangle is 6 inches less than 3 times the length,

w = 3a - 6

Perimeter of the rectangle = 104 inches

Formula to calculate the perimeter of a rectangle = 2(length + width)

104 = 2[a + (3a - 6)]

2a + 2(3a - 6) = 104 → [Starting equation]

8a - 12 = 104 → [Distributive property]

8a - 12 + 12 = 104 + 12 → [Addition property of equality]

a = [tex]\frac{116}{8}=14.5[/tex] → [Division property of equality]

a). width of the rectangle = (3a - 6) = 37.5 inches

b). length of the rectangle = 14.5 inches

The width of the rectangle is 37.5 inches and the length of the rectangle is 14.5 inches.

The perimeter of a rectangle is represented as follows:

perimeter = 2l + 2w

where

w = width

l = length

Therefore,

perimeter = 104 inches

let

the length = a

Therefore,

width = 3a - 6

Therefore,

104 = 2a + 2(3a - 6)

104 = 2a + 6a - 12

116  = 8a

a = 116 / 8

a = 14.5  inches

width = 3(14.5 ) - 6 = 37.5  inches

Therefore, the width of the rectangle is 37.5 inches and the length of the rectangle is 14.5 inches.

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Answer: C, D

Step-by-step explanation:

Answer:

8.06

Step-by-step explanation:

use distance formula

Answer:

∠x = 50°

Step-by-step explanation:

All external angles of a polygon add up to 360°.

Therefore,

Solution,

The population of a city is 2,549,786.

We can convert it into nearest million as follows :

Million = 10 lakhs

Rounding off to the nearest million

2,549,786 = 3,000,000

There are 6 zeroes after 3. We can express as the product of a single digit and a power of 10 as follows :

[tex]3,000,000=3\times 10^6[/tex]

Hence, the population of the city is 2,549,786 or [tex]3\times 10^6[/tex].

Answer:

13 hours

Step-by-step explanation:

567/9= 63 mile per hour

819/63 = 13

13 hours

Answer:

13 hours

Step-by-step explanation:

how long does she drive in one hour?

567/9=63

she drives 63mph

819/63=13

it will take her 13 hours to drive 819 miless

Answer:

  12 c

Step-by-step explanation:

You can add up the hourly changes, or you can use multiplication to do the repeated addition. The increase in temperature over 6 hours is ...

  2c +2c +2c +2c +2c +2c

  = 6 × 2c

  = 12c

The total change in temperature was an increase of 12c over the 6-hour time period.

The expression which is equivalent to Start Fraction 5 y cubed Over (5 y) Superscript negative 2 Baseline End Fraction is

[tex]125y^5[/tex]

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

To find the equivalent expression, simplify the provided function using the mathematical operations.

The given algebraic expression is,

[tex]\dfrac{5y^3}{(5y^{-2})}[/tex]

Suppose the equivalent expression of this fraction is n. Thus,

[tex]n=\dfrac{5y^3}{(5y^{-2})}\\\\n=\dfrac{5y^3}{((5)^{-2}y^{-2})}\\[/tex]

In the division the power of the same number is subtracted. Therefore,

[tex]n=(5)^{1-(-2)}(y)^{3-(-2)}\\n=5^3\times y^5\\n=125y^5[/tex]

Hence, the expression which is equivalent to StartFraction 5 y cubed Over (5 y) Superscript negative 2 Baseline EndFraction is

[tex]125y^5[/tex]

Learn more about the equivalent expression here;

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Answer:

The answer is D.

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Consider the missing lines of question are "Due to the Enhanced Community Quarantine, Grand Royal Spa temporarily stopped its operation and to help the employees, the owner decided to split evenly its total revenue of 65,000.00".

Given:

Total revenue = 65000

Number of employees = x

To find:

The function which represents the  amount each received.

Solution:

We know that,

[tex]\text{Amount each received}=\dfrac{\text{Total revenue}}{\text{Number of employees}}[/tex]

Substitute the given values in the above formula.

[tex]\text{Amount each received}=\dfrac{65000}{x}[/tex]

So, the function which represents the  amount each received is

[tex]f(x)=\dfrac{65000}{x}[/tex]

Therefore, the required function is [tex]f(x)=\dfrac{65000}{x}[/tex].

Note: Given options are not correct and option C is incomplete.

Answer:

No, the correct answer is 32cm.

Step-by-step explanation:

First of all, lets cut the shape into two. A rectangle and a triangle. This will help us find the slanted side of the shape.

We will use the pythagorean theorem to find the length of the slanted line.

The pythagorean theorem is [tex]a^{2} +b^{2} =c^{2}[/tex].

Input the given information of the triangle lengths that we know; that is the length= 6 and the base=3.

[tex]c= \sqrt{a^{2}+b^{2} } =\sqrt{6^{2}+\ 3^{2} } = 6.7082[/tex]

Now, we round.

6.7082≈ 6.7

We have found the length of the slanted line of the shape.

Now, let's add all the lengths together.

8+6+6.7+11= 31.7

Now, lets round.

31.7 ≈ 32cm

Hope this helps!

Answer:

The answer is "Option c"

Step-by-step explanation:

In the given question, in choice c the numerice value is missing, that is "0.05".

The null hypothesis can only be rejected whether there is enough statistical data than that of the critical values.

Step-by-step explanation:

Probability is the ratio of the expected outcome (event) to the total outcome (sample space)

Probability = expected outcome/total outcome

If Playing cards numbered from 1 to 20 are mixed thoroughly and kept it in a box, the total number of sample space is 20

1) To calculate of getting a prima number.

Events = {2, 3, 5, 7,11,13,17,19}

n(events) = 8 elements

Pr(selecting a prime) = 8/20 = 2/5

2) If a factor of 20 is selected

Factor of 20 F = {2, 4, 5, 10, 20}

n(F) = 5

Pr(factor of 20) = 5/20 = 1/4

3) A composite number are 2 digits numbers.

Composite number C = {10,11,12,13,14,15,16,17,18,19,20}

n(C) = 11

Pr(a composite number) = 11/20

4) For multiple of 3.5

Multiple of 3.5 M = {3.5, 7.0, 10.5, 14.0, 17.5}

n(M) = 5

Pr(multiple of 3.5) = 5/20 = 1/4

5) For perfect squares

Perfect squares P = {1, 4, 9, 16}

n(P) = 4

Pr(perfect squares) = 4/20 = 1/5

Answer:

30

Step-by-step explanation:

Since the 3 is in the tenths column, it therefore equals 30.

Answer:

thirty

Step-by-step explanation:

the value of the 3 in 17039 is 30

Answer:

I think it's 31

Step-by-step explanation:

Answer:

x = 31°

Step-by-step explanation:

The two triangles seem to be identical.

All angles of a triangle must add up to 180° to make a triangle.

So, 53° + 96° = 149°

Subtract 149° from 180°

180° - 149° = 31°

So x = 31°

Hope I helped :)

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Answer:

[tex]x=6[/tex]

Step-by-step explanation:

Using the given measurements of the angles and the lengths of the sides, we can determine that this figure must be a rectangle.

Diagonals of a rectangle are always equivalent/congruent.

We can use this information to set up an equation:

[tex]DF=EG\\7x-3=5x+9[/tex]

Add 3 to both sides:

[tex]7x-3+3=5x+9+3\\7x=5x+12[/tex]

Subtract 5x from both sides:

[tex]7x-5x=5x-5x+12\\2x=12[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{12}{2}\\x=6[/tex]

Answer:

[tex] \: [/tex]

Step-by-step explanation:

A rectangle is a parallelogram with equal angles and the diagonals of a rectangle are of equal length.

[tex] \: [/tex]

Therefore,

[tex] \\ { \longrightarrow \qquad{ \sf{ \pmb {DF = EG}}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \sf{ \pmb {7x - 3 = 5x + 9}}}} \: \: \\ \\[/tex]

Subtracting 5x from both sides we get :

[tex] \\ { \longrightarrow \qquad{ \sf{ \pmb {7x - 5x - 3 = 5x - 5x + 9}}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \sf{ \pmb {2x - 3 = 9}}}} \: \: \\ \\[/tex]

Adding 3 to both sides we get :

[tex] \\ { \longrightarrow \qquad{ \sf{ \pmb {2x - 3 + 3 = 9 + 3}}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \sf{ \pmb {2x = 12}}}} \: \: \\ \\[/tex]

Dividing 2 from both sides we get :

[tex] \\ { \longrightarrow \qquad{ \sf{ \pmb { \frac{2x}{2} = \frac{12}{2} }}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \frak{ \pmb {x = 6}}}} \: \: \\ \\[/tex]

Therefore,

Answer:x=y-bm

Step-by-step explanation:

Answer:

x = y-b/m

Step-by-step explanation:

Step 1:  y = mx + b

Step 2: Bring b to the left side of the equation

Step 3: y - b = mx

Step 4: To isolate for x, we must get rid of m. Therefore, divide m on both sides of the equation

Step 5: y-b/m = mx/m

Step 6: On the right side of the equation, m and m crosses out.

Step 7: All we have left is: y-b/m = x

(Or you can write it as x = y-b/m)

Hope this helps.

Answer:

63%

Step-by-step explanation:

Volume=(l)(w)(h)

V= (12.9)(5.5)(4.7)

V= 333.465 cubic feet

The tank contains: 210 cubic feet of water

To find percentage: current amount / maximum capacity (this would be our volume) multiplied by 100% =

210/333.465 = .6297

.6297 x 100% =  62.97%

Round to a whole number:

63%

Answer:

7:3, 14:6, 28:12

multiples.. hope that helps.

Answer:

a

Step-by-step explanation:

Answer:

5.5 maybe..

Step-by-step explanation:

Answer:

$33.05

Step-by-step explanation:

Add 23.75 + 9.30

The answer for this problem is that the number is 31p

Answer:

The new points after a rotation of 180 degrees is;

M’ = (-3, 1)

N’ = (-8,4)

O’ = (-6,6)

P’ = (-1 , 7)

Step-by-step explanation:

Given a point (x , y) and we rotate by 180 degrees , the new point will be (-x , -y)

So to the question;

M’ = (-3, 1)

N’ = (-8,4)

O’ = (-6,6)

P’ = (-1 , 7)

The expression is

[tex]\\ \rm\Rrightarrow x+(1+0.10)x[/tex]

[tex]\\ \rm\Rrightarrow x+1.10x[/tex]

Answer:

-13

Step-by-step explanation:

The more negative the number, the colder it is

-13 is more negative than -10

-13 < -10

-13 is colder

Answer:

x-14=42

Step-by-step explanation:

let x be Julies age x= the difference between julies unknown age and 14

Answer:

x=17 y=128

Step-by-step explanation:

x-cows

y=chicken

x+y=145

4x+2y=324

x=145-y

4(145-y)+2y=324

580-4y+2y=324

580-2y=324

580-324=2y

256=2y

y=128

x=145-128

x=17

Answer:

b) 75

Step-by-step explanation:

The median (middle quartile) marks the mid-point of the data and is shown by the line that divides the box into two parts.

Therefore, from inspection of the box plot diagram, the median is 75

Additional information

Lower quartile (Q1) = 70

Median (Q2) = 75

Upper quartile (Q3) = 85

IQR = Q3 - Q1 = 85 - 70 = 15

Minimum value = 55

Maximum value = 100

Range = Max - Min = 100 - 55 = 45