there are 7 row of 9 people how many people in all

Using equations, the time for the main engine 14.4 seconds and 21.6 seconds for the auxiliary engine

Let's call the time each engine takes to consume its allotted fuel supply as "t₁" for the main engine and "t₂" for the auxiliary engine.

From the first piece of information, we know:

t₁ = (2/3)t₂

From the second piece of information, we know that the combined fuel consumption time for both engines is 36 seconds:

t₁ + t₂ = 36

Now we can substitute the first equation into the second:

t₁ + (2/3)t₂ = 36

Combining like terms:

t₂ = 21.6

Finally, substituting t₂ back into the first equation:

t₁ = (2/3)(21.6) = 14.4

So the main engine alone could be fired for 14.4 seconds and the auxiliary engine alone could be fired for 21.6 seconds.

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Answer:3 /8

Step-by-step explanation:

Answer:

The sample must be randomly selected.

The sample size, n, must be at least 30.

Step-by-step explanation:

Plato

Answer:

The sample must be randomly selected.

The sample size, n, must be at least 30.

Step-by-step explanation:

Plato/Edmentum

Answer:

\(Change = \$8.82\)

Step-by-step explanation:

Given

\(Basketball = \$25.57\)

\(Air\ Pump = \$15.61\)

\(Amount = \$50\)

Required

Determine the change received

First, we need to calculate the total amount spent

\(Total = \$25.57 + \$15.61\)

\(Total = \$41.18\)

This implies that Natalie pays a total of $41.18

Next, we calculate the change as thus:

\(Change = Amount - Total\)

\(Change = \$50 - \$41.18\)

\(Change = \$8.82\)

Hence, the change is $8.82

Answer:

Step-by-step explanation:

In order to determine the number of wax cubes needed to make the candle, we divide the volume of the pyramid by the volume of the cube. That is,

             number of wax = volume of mold / volume of wax

The formulas are,

              number of wax = (1/3)Ah / s³

Where A is the area of the base, in this case 9 cm x 9 cm which is equal to 81 cm². Substituting the known values from the given above,

               number of wax = (1/3)(81 cm²)(10 cm) / (4 cm)³ = 4.21

Thus, approximate number of wax should be 4.21. If we are to round this off to the nearest whole number, we will get 5 (considering that we want rather to have excess than missing items)

Answer:

5

Step-by-step explanation:

Pyramid mold

volume of a square based pyramid = \(\dfrac13a^2h\)

(where a is the side of the base and h is the height)

Given a = 9 and h = 10:

volume = \(\dfrac13\times9^2\times10\) = 270 cm³

Wax Cube

volume of a cube = a³

(where a is the length of one edge)

Given a = 4

volume = 4³ = 4 x 4 x 4 = 64 cm³

Divide the volume of the pyramid by the volume of 1 wax cube:

270 ÷ 64 = 4.21875

We need to round this number up to 5 as if we rounded down to 4, we wouldn't have quite enough to fill the pyramid.

Therefore, Devin will need 5 wax cubes in order to make the candle.

Answer:

x=13

y=11

Step-by-step explanation:

3y+5+52=90

3y=90-57

3y=33

y=33/3=11

4x=52

x=52/4=13

3y+5 and 52 are complementary

Apply angle sum property

Answer:

Step-by-step explanation:

Solve the System of Equations

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(−1,7)

Equation Form:

x=−1,y=7

Answer:

270 mins if I'm not mistaking

Answer:

B. The 95% confidence interval is from about 82.87 to 88.33 miles.

C. The margin of error for 99% confidence is about 3.59 miles.

Step-by-step explanation:

No cheese detected or anything hehehe

Answer:

1. One solution (3,0)

2. One solution (1,2)

Step-by-step explanation:

I graphed them

Answer:

Step-by-step explanation:

Let the first term is n, then the second term must be an where a is a common ratio, and the third term is a^2 n

so, n + an = 24

n + an + a^2 n = 26

solve for a, then solve for n

Answer:

(a) 0.0329

(b) 0.3502

(c) It is not unusual for a broiler to weigh more than 1710 grams.

Step-by-step explanation:

Using the TI-84 Plus calculator:

z-score is z = (x-μ)/σ,

where

x is the raw score

μ is the population mean

σ is the population standard deviation.

mean is 1535 grams and standard deviation is 169 grams.

(a) What proportion of broilers weigh between 1136 and 1243 grams?

For x = 1136 grams

z = (x-μ)/σ

= 1136 - 1535/169

= -2.36095

Determining the probability value from Z-Table:

= P(x = 1136)

= P(z =-2.36095)

= 0.0091142

For x = 1243 grams

z = (x-μ)/σ

= 1243 - 1535/169

= -1.72781

Determining the probability value from Z-Table:

P(x = 1243) = 0.042011

The proportion of broilers weigh between 1136 and 1243 grams is calculated as:

P(x = 1243) - P(x = 1136)

= 0.042011 - 0.0091142

= 0.0328968

≈ 0.0329

(b) What is the probability that a randomly selected broiler weighs more than 1600 grams?

For x = 1600 grams

z = (x-μ)/σ

= 1600 - 1535/169

= 0.38462

Determining the Probability value from Z-Table:

P(x<1600) = 0.64974

P(x>1600) = 1 - P(x<1600) = 0.35026

The probability that a randomly selected broiler weighs more than 1600 grams is 0.3502

(c) Is it unusual for a broiler to weigh more than 1710 grams?

For x = 1600 grams

z = (x - μ)/σ

= 1710 - 1535/169

= 1.0355

P-value from Z-Table:

P(x < 1710) = 0.84978

P(x > 1710) = 1 - P(x < 1710) = 0.15022

From the above calculation, it is not unusual for a broiler to weigh more than 1710 grams because 15.022% of the broilers weigh 1710 grams.

Answer:

To find the total distance, we need to add up the distance the student ran in the first 5 days and the distance the student ran in the next 5 days.

Distance for the first 5 days = 3 1/2 miles/day × 5 days = 17.5 miles

Distance for the next 5 days = 4 1/4 miles/day × 5 days = 21.25 miles

Total distance = Distance for the first 5 days + Distance for the next 5 days

Total distance = 17.5 miles + 21.25 miles

Total distance = 38.75 miles

Therefore, the student ran a total of 38.75 miles during these 10 days.

Yes, 3 divides 27,333. We have

27,333 = 27,000 + 333

… = 27•1,000 + 333

… = 3•9•1,000 + 3•111

… = 3•(9•1,000 + 111)

… = 3•(9,000 + 111)

… = 3•9,111

Answer:

The answer is B.

Step-by-step explanation:

x^2+5x-9-(7x+4)

x^2+5x-9-7x-4

x^2-2x-9-4

x^2-2x-13

Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).

A formula for connecting two statements using the equal sign (=) to denote equivalence is known as a mathematical equation. A mathematical equation in algebra is a statement that proves the equality of two mathematical expressions. For instance, the formula 3x + 5 = 14 places an equal sign between the variables 3x + 5 and 14. The mathematical relationship between the two sentences on either side of a letter is established. Most of the time, the symbol serves as both the one and only variable. for instance, 2x – 4 = 2.

Here,

the two numbers' primary factors are as follows:

-25\(b^{2}\) + 15b

Common prime factors can be multiplied to determine the GCF:

=> -25\(b^{2}\)  = -(5)(5) * \(b^{2}\)

=> 15b = (5)(3)b

The expression can be factored in the following fashion because the GCF is 5b:

=> -(5)(5) * \(b^{2}\) +  (5)(3)b

=> (5b)(-5b+3)

Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).

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Answer:

Yes 8 is greater then 4-2

Step-by-step explanation:

4 minus two is two, and 8 is better than 2

8>2

There is a probability of 94/315 that the problem will be solved.

We are given that P has a chance of solving the problem of 2/7, Q has a chance of solving the problem of 4/7, and R has a chance of solving the problem of 4/9. To find the probability that the problem is solved, we need to consider all possible scenarios in which the problem can be solved.

The probability of this scenario is 2/7. If P solves the problem, then it does not matter whether Q or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 2/7.

The probability of this scenario is 4/7. If Q solves the problem, then it does not matter whether P or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/7.

The probability of this scenario is 4/9. If R solves the problem, then it does not matter whether P or Q solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/9.

The probability of this scenario is (1-2/7) * (1-4/7) * (1-4/9) = 3/35. This is because the probability of P not solving the problem is 1-2/7, the probability of Q not solving the problem is 1-4/7, and the probability of R not solving the problem is 1-4/9. To find the probability of none of them solving the problem, we multiply these probabilities together.

To find the probability of the problem being solved, we need to add the probabilities of all the scenarios in which the problem is solved. Therefore, the probability of the problem being solved is:

2/7 + 4/7 + 4/9 = 94/315

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Equations now take the shape:

  [1]    3x - 4y = 24

  [2]    3x + 4y = 6

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Answer:

V = 3/8 * 1/8 * 5/8 cm^3 = 15 / 512 cm^3

Since all sides are evenly divisible by 1/8 and v = (1 / 8)^3 = 1 / 512 cm^3

N = V / v = (15 / 512) / (1 / 512) = 15 blocks

Example: cut 1/8 by 5/8 into 5 blocks

Cutting 1/8 by 5/8 could be done 3 times for a total  of 15 blocj\ks

The possible values for angles 1, 2, and 3 given that lines a and b are parallel lines include the following:

In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet or intersect.

Note: Assuming angle 1 is equal to 60 degrees.

In Mathematics and Geometry, the vertical angles theorem states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other:

m∠1 ≅ m∠3 = 60°.

Based on the linear pair postulate, the measure of angle 2 can be determined as follows;

m∠1 + m∠2 = 180°

60° + m∠2 = 180°

m∠2 = 180° - 60°

m∠2 = 120°

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Answer:

y=−3x-5

Step-by-step explanation:

Answer:

Find the slope of the original line and use the point-slope formula y−y1=m(x−x1)to find the line parallel to y=−3x+4y

y=−3x−5y

Answer:

x = 27 , ∠ EAF = 27°

Step-by-step explanation:

∠ GAF = 90° , then

∠ GAC + ∠ CAF = ∠ GAF , that is

x + 63 = 90 ( subtract 63 from both sides )

x = 27

∠ DAE = 90°

since CD is a straight angle of 180° , then

∠ CAE = 90° , so

∠ CAF + ∠ EAF = ∠ CAE , that is

63° + ∠ EAF = 90° ( subtract 63° from both sides )

∠ EAF = 27°

Applying the area of the sector of a circle, the area of section C is: 4.5π cm².

The area of a sector of a circle is given as:

Area of sector = ∅/360 × πr², where r is the radius of the circle which is half the length of its diameter.

Given that the spinner is 12 inches long, the radius, r, would be 1/2(12) = 6 cm.

The section C represents a sector of the circular shape. Therefore, we would apply the area of a sector to find the area of section C.

∅ = 45°

r = 6 cm

Therefore:

Area of section C = 45/360 × π(6²)

Area of section C = 4.5π cm²

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Answer:

678.24 cubic centimeters

Step-by-step explanation:

Answer:

bruce

y = 1/4 x

Step-by-step explanation:

9 tiles per sq ft for felicia

so 1/9 sq ft per tile

so bruce covers more

Answer:The measure of angle x is 65°.

Step-by-step explanation: Determine the measure of angle x. Step 1: Add together the known angles. Step 2: Subtract the sum from 180°. The measure of angle x is 65°.

The measure of the angles are;

<KL = 23 degrees

m<LON is 23 degrees

m<OM = 113 degrees

m<KNL = 23 degrees

m<NL = 157 degrees

To determine the measures of the arc, we need to note the following;

From the information shown in the diagram, we have;

<KL +<KM = 90 degrees

Now, substitute the values

<KL + 67 = 90

collect like terms

<KL = 23 degrees

m<LON and <KL are corresponding angles

Then, m<LON is 23 degrees

m<OM = m<LON + 90 degrees

Substitute the values

m<OM = 113 degrees

m<KNL = 23 degrees

m<NL = 90 + <LM

Substitute the values

m<NL = 157 degrees

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Answer:

1,000 i believe its that

Step-by-step explanation: