Evaluate ​2(L​+W) for L=8 and W=7.

Answer:

78 persons

Step-by-step explanation:

Given

\(Budget = 3000\)

\(Clean\ up = 100\)

\(Rate = 37\ per\ person\)

Required

Determine the maximum number of person that can be invited

Let the number of persons be p.

If the hall charges $37 for 1 person, then it will charge $37p for p persons.

So:

\(Charges = 37p\)

The expression becomes:

\(Clean\ up + Charges = Budget\)

Substitute values for Clean up, Charges and Budget

\(100 + 37p = 3000\)

Subtract 100 from both sides

\(100 - 100 + 37p = 3000 - 100\)

\(37p = 3000 - 100\)

\(37p = 2900\)

Make p the subject

\(p = \frac{2900}{37}\)

\(p = 78.378\)

Round down

\(p = 78\)

Hence, they can only invite 78 people to stay within budget

Answer:

Step-by-step explanation:

Ratio of tagged to non-tagged is:

This is 300 non-tagged per 1 tagged

Since there are 700 tagged rabbits, the estimated number is:

Answer:

1.646%

Step-by-step explanation:

Sample size (n) = 2000

Sample Proportion p = 17% = 0.17

α = 0.95

Margin of Error :

Z(1-α)/2 * √((p*(1 - p)) /n)

Z(1 - 0.95/2) * √((0.17 * (1 - 0.17) / 2000)

Zscore = 1.96

1.96 * √(0.1411/2000)

1.96 * √0.00007055

1.96 * 0.0083994

Hence,

1.96 * 0.0083994

= 0.0164628

= 0.0164628 * 100%

= 1.646%

The margin of error for the random sample 2,000 driver's license applications is 1.646%.

The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.

It can be found out using the following formula.

\(MOE=Z_{\frac{\alpha}{2}}\times\left(\sqrt{p\times\dfrac{1-p}{n}}\right)\)

Here, α is the level of significance, n is the sample size and p is the sample proportion.

A random sample of 2,000 driver's license applications found that 17% reported their eye color as blue.

Let level of significance is 0.05. At this level of significance the critical value of Z is 1.96. Put the values in the above formula as,

\(MOE=(1.96)\times\left(\sqrt{0.17\times\dfrac{1-0.17}{2000}}\right)\\MOE=0.01646\\MOE=1.646\%\)

Thus, the margin of error for the random sample 2,000 driver's license applications is 1.646%.

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Answer: 50% decrease

Step-by-step explanation:

50% of 310 = 155

310-155=155

50% decrease :)

ANSWER: 50% decrease

SOLUTION:

50% of 310 = 155

310-155=155

So in all the answer is.......

50% decrease  :)))))

-XOXOXO:)

Answer:

The answer is:

\(y = \frac{1}{3} x - \frac{5}{3} \)

Step-by-step explanation:

❃Incase you forgot what the linear equation formula is ☟

\(y = mx + b\)

❃Incase you also forgot, The is what the slope formula is ☟

\(m = \frac{y_2 - y_1 }{x_2 - x_1}\)

➊ First: We are going to be solving for the slope.

\(m = \frac{ - 5 - 0}{ - 10 - 5} = \frac{ - 5}{ - 15} = \frac{1}{3} \)

➋Second: We find the y-intercept.

\(y = mx + b \\ 0 = \frac{1}{3} (5) + b \\ 0 = \frac{5}{3} + b \\ \frac{ - \frac{5}{3} = - \frac{5}{3 } \: \: \: \: \: \: \: \: \: \: \: \: }{ - \frac{5}{3} = b} \)

➌Third: Plug in.

\(y = \frac{1}{3} x - \frac{5}{3} \)

The value of k is given as follows:

k = 24.

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

From the table, we have that when x = 6, y = k, hence the value of k is found replacing each of the three instances of x by 6, as follows:

k = (6 - 3)(6 - 5)(6 + 2)

k = 3 x 1 x 8

k = 24.

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Step-by-step explanation:

The 'mean' is the 'average'

    add all of the heights together .....thien divide by the NUMBER of heights that were used.

Answer:

2/5 or 0.4

Step-by-step explanation:

convert -14/5 / (-7)

divide 14/5 / 7  ( two negatives equal a positive)

equals 2/5 or 0.4 in decimal

Answer:83.3∘

Step-by-step explanation:

The measure of angle O from the triangle MNO is 156.92°.

In trigonometry, the law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.

The formula for the cosine rule is c=√(a²+b²-2ab cosC)

here, we have,

Given that,

in triangle MNO,

m = 720 cm, n = 160 cm and o=870 cm.

Now, 870=√(720²+160²-2×720×160 cosO)

870²=720²+160²-2×720×160 cosO

756900=544000-230400 cosO

212900=-230400 cosO

cosO= -212900/230400

cosO= -0.92

∠O=156.92°

Therefore, the measure of angle O from the triangle MNO is 156.92°.

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Answer:

y= 4x + 80

Step-by-step explanation:

the variable that keeps adding up for example if you keep watching movies it'll add up is always the x

Answer:

30mg

Step-by-step explanation:

10 mg/mL x 3 mL

The value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

Considering the sine of angle 41°

sin 41° = 2.5/x {opposite/hypotenuse}

x = 2.5/sin 41° {cross multiplication}

x = 3.8106

Therefore, the value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.

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Answer:

Volume ≈ 153.93804 cm^3

Rounded to the nearest whole number, the volume of the cone is approximately 154 cm^3.

Step-by-step explanation:

Answer:

45/49

Step-by-step explanation:

The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.

9/14 * 10/7 = 90/98

divide the numerator and the denominator by 2.

90 * 2 = 45

98 * 2 = 49

45/49

Answer:

14

Step-by-step explanation:

Basically, x is substituted by 10.

So if you plug that into the function, you would get

\(f(10)=2(10)-6\)

Simplify it and you get

\(f(10)=14\)

An expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes is (0.55 + (n - 5) x 0.07) dollars.

Given:

Long Distance Rates Time (minutes) Cost5 $0.556 $0.627 $0.698 $0.769 $0.8310 $0.90We need to find an expression that can be used to find the cost of an n-minute long-distance call, where n is at least 5 minutes.

The cost of making a long-distance call is given for 5 minutes, 6 minutes, 7 minutes, 8 minutes, 9 minutes, and 10 minutes.

We can observe from the above table that for every increase of 1 minute, the cost increases by $0.07.

We can conclude that the cost of n minutes long-distance call is given by: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes.

Therefore, the required expression is: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes. The above expression is based on the pattern in the table provided for long-distance call rates. We can use this expression for values of n greater than or equal to 5.

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The answer is 1,272

We want to add 100 to 1,172;

1,172 + 100 then, we want to add a one to the hundreds

then:

1,172 + 100 = 1,272

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find out how much money Chelsea will earn next week, you need to multiply her hourly wage by the number of hours she plans to work.

First, convert the number of hours to a decimal by dividing the number of minutes by 60. In this case, 20 1/2 hours is equal to 20.5 hours.

Then, multiply Chelsea's hourly wage by the number of hours she plans to work:

14.60 * 20.5 = 297.3

Therefore, Chelsea will earn $297.30 next week.

Lines m and n are parallel

Line t intersect them

Then the two angles (4x - 9) and (3x + 29) are in the corresponding position, so they are equal in measures

4x - 9 = 3x + 29

Let us solve the equation to find x

Subtract 3x from both sides to move 3x from the right side to the left side

4x - 3x - 9 = 3x - 3x + 29

x - 9 = 29

Add 9 to both sides to move -9 from the left side to the right side

x - 9 + 9 = 29 + 9

x = 38

The value of x is 38

Answer:

Ashley can serve 12 pieces of pizza in the party

Step-by-step explanation:

To solve this question we need to convert the 9 pizzas to decimal:

9 times 4 = 36. That is:

9 pizzas are equal to 36/4 of pizza (36/4 = 9)

As Ashley is serving 3/4 of a pizza she can serve:

36/4 ÷ 3/4 = 36/3 = 12

Based on the information, there are 25 cars with good brakes and good tires.

Total cars = 50

Cars with faulty brakes = 10

Cars with faulty tires = 15

Cars with faulty brakes and good tires = 2

Let's calculate the number of cars with good brakes and good tires:

Cars with faulty brakes or faulty tires = Cars with faulty brakes + Cars with faulty tires - Cars with faulty brakes and good tires

= 10 + 15 - 2

= 25

Cars with good brakes and good tires = Total cars - Cars with faulty brakes or faulty tires

= 50 - 25

= 25

Therefore, there are 25 cars with good brakes and good tires.

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The number of grid squares in a character of size 7 are 55.

Given, Zhen designs a character for a video game.

He draws three sizes of the character on grid paper.

Zhen use the expression 6 + s² to find the number of grid squares in a character of any size s.

Now, we have to find the number of grid squares in a character of size 7.

Using the formula,

6 + s²

to find the number of grid squares, we put s = 7

So, 6 + (7)²

6 + 49

= 55

Hence, the number of grid squares in a character of size 7 are 55.

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For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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The correct graph of the inequality -0.4x - 2 < - 1.2 is option 2.

Equation containing a relational operator and a linear expression is known as a linear inequality. In a coordinate plane or space, regions that satisfy a linear inequality are defined. A linear inequality defines a half-plane in two dimensions, which, depending on the inequality, can be either above or below a line. A linear inequality defines a half-space in three dimensions, which, depending on the inequality, is either above or below a plane. The goal of optimization problems is to determine the maximum or minimum value of a linear function under a set of constraints, which are typically represented by linear inequalities.

The given inequality is -0.4x - 2 < - 1.2.

-0.4x - 2 < - 1.2

Adding 2 on both sides of the equation we have:

-0.4x < -1.2 + 2

-0.4x < 0.8

-x < 2

x > -2

Hence, the correct graph of the inequality is option 2.

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Answer:

i have solved it step by step

The third point so the hypotenuse of the triangle has a length of 13 could be; (-4, 2)

We are given Pythagoras' theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

|\(AC|^2 = |AB|^2 + |BC|^2\)

we know that 5, 12, 13 is a Pythagorean triple;

\(c^2-a^2=b^2\)

\(13^2-5^2=b^2\)

\(169-25=b^2\)

\(144=b^2\)

12=b

The point so the hypotenuse of the triangle has a length of 13 is (-4, 2)

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Answer:

Step-by-step explanation:

What this formula says is that the external segment of the secant * the secant's entire length = the tangent squared

16

(x+2)^2 = 18(18 + 14)                 Add what is inside the brackets

(x +2)^2 = 18 * 32                     Combine the right

(x + 2)^2 = 576                         Take the square root of both sides

√(x + 2)^2 = √576

x + 2 = 24                                  Subtract 2 from both sides

x = 24 - 2

x = 22

I don't think you can use the minus value here.

14

Two secant theorem

The two secant theorem has both the left and right set up as having brackets.

8(19 + 8) = (x + 4)(3x + x+4)                Simplify the right and left

8(27) = (x + 4)(4x + 4)                          Remove the right and left brackets

216 = 4(x + 4)( x + 1)                             Expand the right

216 = 4 (x^2 + 5x + 4)                           Divide both sides by 4

54 = x^2 + 5x + 4                                  Subtract 54 from both sides

x^2 + 5x - 50                                         Combine the left

x^2 + 5x - 50 = 0                                 Factor

(x + 10)(x - 5) = 0

I think the only usable factor is x - 5 = 0

x = 5