11 People fit comfortably in a 6 feet by 6 feet area. Use this value to estimate the size of a crowd that is 18 feet by 30 feet

The value of x is 41 . Option B

It is important to note that angles on a straight line are known to be supplementary.

Supplementary angles are defined as angles that sum up to 180 degrees.

From the information given, we have that;

Since angles on a straight line sum up to 180 degrees, we have that;

m∠PQS + m∠RQS = 180°

Substitute the values into the equation

3x - 3 + x + 19 = 180°

collect like terms

4x = 180 - 16

4x = 164

Make 'x' the subject of formula

x = 164/4

x = 41

Thus, the value of x is 41 . Option B

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Answer:

x = 90

Step-by-step explanation:

x - 11 = 79 ( isolate x by adding 11 to both sides )

x = 79 + 11 = 90

The dimensions of the shape allow us to find the length of PR to be 19.8 units.

The shape that is given is an equilateral triangle. This allows us to know that all the sides of the shape are equal.

This means that PR and QR are the same:

PR = QR

Equate both formulas as:

2n + 9 = 7n - 18

You can then solve for the value of n:

7n - 2n = 18 + 9

5n = 27

n = 5.4

The length of PR is therefore:

= 2n + 9

= 2 (5.4) + 9

= 19.8 units

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Answer:  the answer would be 54

Step-by-step explanation:

4 x 4 = 16

8 x 4 = 32

16 + 32 + 6 = 54

Answer:

10 hours

Step-by-step explanation:

49kilograms/7hours = 7 kilograms per hour

70 kilograms ÷ 7 kilograms per hour = 10 hours

Answer:Scale factor is 10 , the second part is 50

Step-by-step explanation:

The check done confirmed that the equality is true since the value arrived at while solving the expression is same as the given value

Given data

[tex](1-2b)(1-5b+b^{2} )+(2b-1)(1-6b+b^{2} )=b(1-2b)[/tex]

breaking the expansion into 2 we have

[tex]=(1-2b)(1-5b+b^{2} )[/tex]

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

[tex]=1-5b+b^2-2b+10b^2-2b^3[/tex]

[tex]=-2b^3+11b^2-7b+1[/tex]

expanding this [tex](2b-1)(1-6b+b^2)[/tex] gives:

[tex]=2b^3-13b^2+8b-1[/tex]

adding both equation gives

[tex]= -2b^3+11b^2-7b+1 + 2b^3-13b^2+8b-1[/tex]

[tex]= -2b^2 + b[/tex]

[tex]= b - 2b^2[/tex]

[tex]= b (1 - 2b)[/tex]

Since the expansion gave same value we can say that the equality is true

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Answer:

This might help

Step-by-step explanation:

for C-The number of lines of symmetry in a regular polygon is equal to the number of sides.

for 3 I’m not as sure but all I know is that Y is greater than 90 degrees and x is also greater than 90 degrees

Answer:

yes just make sure to pay close attention

Hey there!

a^2 * b^2 * c^2

= 2^2 * 3^2 * 4^2

= 2 * 2 * 3 * 3 * 4 * 4

= 4 * 9 * 16

= 36 * 16

= 576

Therefore, your answer should be:

576

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer: The equivalent decimal is 0.5

Step-by-step explanation: Ok, so 4/8 is a equivalent fraction to 1/2.

0.5 is the decimal form for one half.

I am also 100% sure I am right, so you have no worries :D

Answer: the answer is 0.5

Step-by-step explanation:

Answer:

Area = 1725 ft²

Step-by-step explanation:

In this question, we have to calculate the area of the trapezoid. As mentioned in the hint, the formula for the area of a trapezoid is:

[tex]\boxed{\mathrm{Area = \frac{b_1 + b_2}{2} \times h}}[/tex],

where [tex]\mathrm {b_1}[/tex] and [tex]\mathrm {b_2}[/tex] are the two parallel bases of the trapezoid, and h is the height of the trapezoid.

As we can see in the diagram the two bases are 50 ft and 65 ft respectively, and the height is 30 ft. Using this information and the formula above, we can calculate the formula of the trapezoid:

[tex]\mathrm{Area = \frac{(50 + 65)\: \mathrm{ft}}{2} \times 30 \: \mathrm{ft}}[/tex]

        [tex]= \frac{115 \: \mathrm {ft}}{2} \times 30 \: \mathrm{ft}[/tex]

        [tex]= \bf 1725 \: ft^2[/tex]

Therefore, the area of the lawn is 1725 ft².

It is better to express the bull's weight as 1,700 pounds.

It should be noted that from the information given, the bull weighs 1,700 pounds.

It should be noted scientific notation isn't required in all situation.

In this case, it's better to express the bull's weight as 1,700 pounds. This aligns better with the weight.

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Reasoning At a butcher shop, Hilda bought beef and pork. She left with     18 8/25 pounds of meat. Express the number of pounds of pork she bought using a decimal.

Hilda bought 18.32 pounds of pork.

Hilda purchased 18.32 pounds of pork, which is a terminating decimal, according to the conversion of an improper fraction to a decimal.

She left behind, in pounds, the following amount of meat:

[tex]18 \frac{8}{25}[/tex]

Now we have to convert the improper fraction to decimal, which is made adding the decimal fraction to the integer part, that is:

[tex]18 \frac{8}{25} =18+\frac{8}{25} = 18+0.32 = 18.32[/tex]

Therefore, the number of pounds of pork Hilda bought using a decimal number is 18.32.

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Question:

Rewrite 50,800,000 in scientific notation.

Answer:

5.08 x 10 to the power 7

Step-by-step explanation:

To get the answer you would first need to change the number into a decimal which would be 50800000.0 then you count the number of zeros in this case there is 7 but then number is not 1-10 so you could use the bumps to make it a decimal which is 5.08

I hope it helps you!

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Answer:

5.08 times 10, to the power of 7

Step-by-step explanation:

Have a great rest of your day
The one and only
Mr. Universe

it is actually 1:1 that is 1 all over one

10 Ounces of 30% alcohol solution must be mixed.

Let the amount of 30% solution to be added = x ounces

So , total solution is (40+x) ounces.

we know that 30%=0.30 , 80%=0.80 , 70%=0.70

According to the question

x ounces of 30% alcohol solution + 40 ounces of 80% alcohol solution = (40+x)ounces of 70% alcohol solution.

x*(0.30)+40(0.80)=(40+x)*0.70

0.30x+32=40*0.70+0.70x

0.30x+32=28+0.70x

Rearranging the terms we get

0.70x-0.30x=32-28

0.40x=4

x=4/0.40

x=10

Therefore , 10 ounces of 30% alcohol solution must be mixed with 40 ounces of an 80% alcohol solution to obtain a 70% alcohol solution.

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Answer:

d because every number power of zero is one ande the negative exponent defines to 1/that number

[tex] \rho = \frac{mass}{volume} = \frac{12}{13} \approx0.923 \: g.cm {}^{ - 3} [/tex]

The quarters and dimes that Brandon have will be 13 quarters and 9 dimes.

Based on the information given, the appropriate equation will be:

0.25q + 0.10d = 5.95 .... i

q = 2d - 5 .....

q = quarter

d = dime

From equation i, multiply through by 100

25q + 10 = 595

Put equation ii into i

25q + 10d = 595

25(2d - 5) + 10d = 595

50d - 125 + 10d = 595

Collect like terms

60d = 595 + 125

60d = 720

Divide

d = 720/60

d = 9

q = 2d - 5

q = 2(9) - 5

q = 18 - 5 = 13

Therefore, the quarters and dimes that Brandon have will be 13 quarters and 9 dimes.

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the expression for the statement that is given will be 15 + 5 z.

We are given the statement that the sum of 15 and the product of 5 and z

We need to make the expression that represents the statement.

First we will find out that the product of 5 and z

So, we will multiply 5 with z.

We get that:

= 5 × z = 5 z

Now we have to find the sum of 15 and 5 z

For this, we will add both the numbers.

We get that:

= 15 + 5 z

Therefore. we get that, the expression for the statement that is given will be 15 + 5 z.

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Using scientific notation, the number of significant digits of the product is given as follows:

B. 3.

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

When two numbers in scientific notation are multiplied, we have that:

For this problem, the product is given by:

[tex]5.2187 \times 10^{-3} \times 2.05 \times 10^7 \times 3.4 \times 10^3[/tex]

Multiplying the bases and adding the exponents, we have that:

[tex]5.2187 \times 10^{-3} \times 2.05 \times 10^7 \times 3.4 \times 10^3 = 5.2187 \times 2.05 \times 3.4 \times 10^{-3 + 7 + 3} = 42.8 \times 10^7[/tex]

42.8 has to be divided by 10 to assume for the base have only one digit, thus, to compensate, we have to add one to the exponent(equivalent to multiply by 10), hence:

[tex]42.8 \times 10^7 = 4.28 \times 10^8[/tex]

Hence, considering the rounding, the number has 3 significant digits(4, 2 and 8), and option B is correct.

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Answer:

1.24

Step-by-step explanation:

To round 1.237 to the nearest 100th ( you have to know the thousandth one. which the value is 1.237, ) which is 7 and equal to or more than 5. Therefore, the hundredths value of 1.237

Answer:

190 square feet

Step-by-step explanation:

25×4 + (25-5×2) × (10-4) = 25×4 + 15×6 = 100+90 = 190

If teacher has three dogs named Gabby, Ranger, and Rico then in 6 different ways can the dogs be lined up for their photograph.

The term permutation refers to a mathematical calculation of the number of ways a particular set can be arranged.

If teacher has three dogs named Gabby, Ranger, and Rico.

We can lineup 3 dogs in 3! ways.

3!=3*2=6 different way.

Gabby, Ranger, Rico

Ranger, Rico, Gabby

Rico, Gabby, Ranger

Ranger, Gabby, Rico

Rico, Ranger, Gabby

Gabby, Rico, Ranger.

Therefore in 6 different ways can the dogs be lined up for their

photograph.

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answer:

(15-x)/3

"one third the difference of 15 and a number."

The area of the rectangular arena can be represented as A = (8y2 - 18y) square feet.

Here, we are given the dimensions of a rectangular arena, which are as follows-

Length = 4y - 9 feet

width = 2y feet

The area of a rectangle is given by the formula-

Area of a rectangle = length x breadth

Thus, in this case, area (A) can be calculated as follows

A = (4y - 9) * 2y

Now, we simplify the equation-

A = (4y)(2y) - 9(2y)

A = 8[tex]y^{2}[/tex] - 18y

Thus, the area of the rectangular arena can be represented by the following equation- A = (8[tex]y^{2}[/tex] - 18y) square feet.

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Answer:

 2x +5y  ≥ 175 is required inequality

Step-by-step explanation:

Answer:

n = 1

Step-by-step explanation:

triple n is 3 times n = 3n , then

3n - 13 = - 10 ( add 13 to both sides )

3n = 3 ( divide both sides by 3 )

n = 1