Simplify 5^3 x 5 please

Answer:

119 Cans Left

Step-by-step explanation:

If bob brought 16 packs of soda, and each pack had 8 cans, there would be 128 cans. This is because 1 pack is worth 8 cans.

16 × 8 = 128

128 - 9 = 119

Bob drank 9 of the cans, which is the same as subtracting from 128. This gives us the answer.

Answer:

should have dded like variables first

Step-by-step explanation:

Answer:

X=6

Step-by-step explanation:

3x+2x-6=24

add 3x and 2x this gives 5x

5x-6=24

then add the 6 to 24

5x=30

then divide both sides by 5

then X=6

Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively.

20:49:64

The pattern in the table should be completed as follows;

Number of                      1          3        9       27        81

students with pets

Total number                  3         9        27     81        243

of students

A ratio that compares the number of blue squares to the total number of squares is 3 : 4.

In Mathematics and Geometry, a proportional relationship can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would find the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 3/1 = 9/3

Constant of proportionality, k = 3.

y = 3x

81 = 3x

x = 27

x = 9/3

x = 3

y = 3(81)

y = 243

For the ratio of blue squares to total squares, we have:

18/24 = 3/4 = 3 : 4

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Answer:

To find the answer, we can use the formula:

number of won games / total number of games played = percentage won

Let x be the total number of games played. We know that the percentage won is 65%, or 0.65 as a decimal. So we can set up the equation:

number of won games / x = 0.65

To solve for x, we can cross-multiply:

number of won games = 0.65x

We want to find a whole number value for x that makes sense. One way to do this is to try each answer choice and see if it gives a whole number value for the number of won games. Let's start with choice A:

If the team played 22 games, then the number of won games is:

number of won games = 0.65 * 22 = 14.3

This is not a whole number value, so we can rule out choice A.

We can repeat this process for each answer choice. When we try choice C, we get:

number of won games = 0.65 * 18 = 11.7

This is also not a whole number value, so we can rule out choice C.

When we try choice D, we get:

number of won games = 0.65 * 14 = 9.1

This is also not a whole number value, so we can rule out choice D.

Therefore, the only remaining answer choice is B, which gives us:

number of won games = 0.65 * 20 = 13

This is a whole number value, so the team could have played 20 games in total last season.

Answer:

$1146.96 per square foot

Step-by-step explanation:

find area needed to be covered (l x w)

36 x 18 = 648

find cost

648 x 1.77 = $1146.96 per square foot

3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:

3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup

Since there are 1 cup in each term, we can rewrite it as:

3 cups + (1/2) cup

Now, we can express each term as a multiplication expression:

3 cups = 3 * 1 cup = 3

(1/2) cup = (1/2) * 1 cup = 1/2

Putting it all together, the multiplication expression is:

3 * 1 cup + (1/2) * 1 cup = 3 + 1/2

Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

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4 times a number x can be written as:

4*x

Additionally, 3 more any number is 3 plus that number.

So, three more than 4 times a number x written as an expression is:

3 + 4x

__3___ ____+___ 4 * x_______

three more than four times a number x

Answer: 3 + 4x

Step-by-step explanation:

100% = 575

1% = 575÷100 = 5.75

60% = 5.75 × 60 = 345

Answer:

A = 264 m²

Step-by-step explanation:

the shaded area (A) is calculated as

A = outer rectangle area - inner rectangle area

   = (44 × 26) - (40 × 22)

   = 1144 - 880

   = 264 m²

The value of the resistor needed in this scenario is approximately 1.2 ohms.

To find the value of the resistor in the given scenario, we can apply Ohm's Law, which states that the current (I) flowing through a resistor is directly proportional to the voltage (V) across it, and inversely proportional to the resistance (R) of the resistor.

Using Ohm's Law, we have the formula:

V = I * R

Where:

V is the voltage across the resistor (12 volts in this case),

I is the current flowing through the resistor (5 amps for each light, so a total of 10 amps),

R is the resistance of the resistor (which we need to find).

Rearranging the formula, we have:

R = V / I

Plugging in the values:

R = 12 volts / 10 amps

R = 1.2 ohms

Therefore, the value of the resistor needed in this scenario is approximately 1.2 ohms.

It's worth noting that this calculation assumes the lights are connected in parallel, as the current remains the same for each light. If the lights were connected in series, the total resistance would be the sum of the individual resistances, and the calculation would be different.

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Answer:

y=  −5 /2 x+5

Step-by-step explanation:

Let's solve for y.

5x+2y=10

Step 1: Add -5x to both sides.

5x+2y+−5x=10+−5x

2y=−5x+10

Step 2: Divide both sides by 2.

2y /2 = −5x+10 /2

y= −5 /2 x+5

A. To construct a grouped frequency distribution for the given data, we first need to determine the range of the data:

Range = Maximum value - Minimum value

Range = 39 - 5

Range = 34

Next, we need to decide on the width of each class interval. A common rule is to choose the number of classes to be between 5 and 20, and then choose a class width that is a convenient number. In this case, we will choose 8 classes and a class width of 5.

Class width = Range / Number of classes

Class width = 34 / 8

Class width ≈ 4.25

We can round up the class width to 5 to get a convenient number. The class intervals are:

5 - 9.99

10 - 14.99

15 - 19.99

20 - 24.99

25 - 29.99

30 - 34.99

35 - 39.99

40 - 44.99

Next, we count the number of observations that fall into each class interval. This gives us the frequency of each interval. The grouped frequency distribution is:

Class Interval Frequency

5 - 9.99 5

10 - 14.99 8

15 - 19.99 9

20 - 24.99 16

25 - 29.99 7

30 - 34.99 6

35 - 39.99 1

40 - 44.99 0

B. To draw the histogram, frequency polygon, and cumulative frequency curves, we first need to calculate the cumulative frequencies. The less than cumulative frequency is the running total of the frequencies up to each class interval, while the more than cumulative frequency is the running total of the frequencies from each class interval to the end.

Class Interval Frequency Less than Cumulative Frequency More than Cumulative Frequency

5 - 9.99 5 5 62

10 - 14.99 8 13 57

15 - 19.99 9 22 49

20 - 24.99 16 38 40

25 - 29.99 7 45 24

30 - 34.99 6 51 17

35 - 39.99 1 52 11

40 - 44.99 0 52 10

Now we can draw the graphs:

Histogram:

   20 |

       |           __

       |          |  |

       |    __    |  |

       |   |  |   |  |

       |   |  |   |  |

       |   |  |   |  |

       |___|__|___|__|__

           5  10  15  20

Frequency polygon:

   25 |

       |  __

       | |  |     __

       | |  |    |  |

       | |  |    |  |

       | |  |

The tip of the minute hand on a clock travels a distance of 4π inches in 15 minutes.

The distance traveled by the tip of a minute hand on a clock can be calculated using the circumference formula.

The circumference of a circle is given by the formula:

C = 2πr C is the circumference, π is pi (approximately 3.14159) and r is the radius.

The distance from the center of the clock to the tip of the minute hand is the radius is 8 centimeters.

The circumference of the circle traced by the tip of the minute hand is:

\(\text{C} = 2\pi \text{r}\)

\(= 2\pi (8)\)

\(= 16\pi \ \text{centimeters}\)

Since the minute hand travels the full circumference of the circle in 60 minutes, in 15 minutes it will cover 15/60 = 1/4 of the circumference.

The distance traveled by the tip of the minute hand in 15 minutes is:

\(\text{Distance} = \huge \text(\dfrac{1}{4}\huge \text) \times C\)

\(= \huge \text(\dfrac{1}{4}\huge \text) \times (16\pi)\)

\(= 4\pi \ \text{centimeters}\)

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Answer:

4π cm ≈ 12.6 cm

Step-by-step explanation:

The clock can be modelled as a circle, where the radius (r) is equal to the length of the minute hand:  r = 8 cm.

A clock face is divided into 12 equal sectors (numbered 1 to 12).

It takes 60 minutes for the minute hand to complete one revolution of the clock. Therefore, each sector represents the passing of 5 minutes.

This means that 15 minutes equals 3 sectors, which is a quarter of the circle.

To find the distance the tip of the minute hand travels in 15 minutes, we need to find a quarter of the circumference of a circle with radius 8 cm.

The formula for the circumference of the circle is C = 2πr, where r is the radius. Therefore, the equation to find the distance the tip of the minute hand travelled in 15 minutes is:

\(\sf Distance=\dfrac{2 \cdot \pi \cdot 8}{4}\)

Simplifying, we get:

\(\sf Distance=\dfrac{16 \cdot \pi}{4}\)

\(\sf Distance=4 \pi\)

Therefore, the minute hand will travel 4π cm or approximately 12.6 cm (to the nearest tenth) in 15 minutes.

The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

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In order to determine which store offers the best buy for candy, we would determine the cost per pack of candy at each store.

For sweet store,

12 packs cost $3

Thus,

1 pack would cost 3/12 = $0.25

For Delicious Treats,

22 packs cost $4.62

Thus,

1 pack would cost 4.62/22 = $0.21

For Sugar Factory,

18 packs cost $5.4

Thus,

1 pack would cost 5.4/18 = $0.3

For Chocolate Shop,

36 packs cost $7.20

Thus,

1 pack would cost 7.20/36 = $0.2

The cost of the molding is given as follows:

$119.30.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The parameters for this problem are given as follows:

d = 9 -> r = 4.5.

(as the radius is half the diameter)

Hence the circumference is given as follows:

C = 2 x π x 4.5

C = 28.27 ft.

The cost is of $4.22 per ft, hence the total cost is given as follows:

4.22 x 28.27 = $119.30.

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Answer:

The juice bar can sell 3 more cups of the passion juice than the berry juice (last one)

Step-by-step explanation:

Passion: 768/16=48

Berry: 810/18=45

passion can fill 48 cups while berry can fill 45 cups, so passion fills +3

:)

Answer: 1 inch 7/8

Step-by-step explanation: 65 1/4 inches is the same and 65 2/8 inches. its now just as simple as finding the difference.

                  <-----------take 8/8 or 1 away from the 65 and add it to the 2/8                 65 2/8

-  63 3/8

----------------          

   64 10/8           <------now the equation looks like this

-   63 3/8             <----10-3 is 7    ----   64 - 63 is 1

----------------

  1 inch and 7/8

Answer:

the answer is c my good sir or mam

Answer:

A should be right :)

Answer:

I think D as that's the highest point

Step-by-step explanation:

I think D as that's the highest point

Answer:

A. 91 ft

Step-by-step explanation:

The path is 2ft wide and the pool's radius is 12.5ft (radius is half diameter, diameter is 25ft). This means that the radius of the circle created by the path is 14.5ft (2+12.5).

Knowing the radius, we can find the circumference.

Circumference = 2πr

Circumference = 2π(14.5) = 91.10618695ft ≈ 91ft

Given that the design of the stream has an area of 12 in^2.

We have to find the scale factor if the area of the larger version is 147 in^2.

It is known that the area of a scaled object will be equal to the scale factor squared.

Let the scale factor be x. So,

So, the scale factor is 3.5.

Answer:

I think the answer is MEAN

Step-by-step explanation:

Answer:

(2+n)-8.

hope this helps

Answer:

(2xn)-8

Step-by-step explanation:

Answer:

C=pg OR C/p=g OR C/g=p

Answer:

no

Step-by-step explanation:

Answer:

(a) Tens=2

(b) Ten thousandths=8

(c) Tenths=4

(d) Ones=1

Step-by-step explanation:

The given number is 921.430865.

The place value names before the decimal point in the number are

\(\cdots-\text{Thousands}-\text{Hundreds}-\text{Tens}-\text{Ones}-[ . decimal]\)

The place value names before the decimal point in the number are

\([decimal.]\text{Tenths}-\text{Hundredths}-\text{Thousandths}-\text{Ten thousandths}-\cdots\)

So, in the given number, the place value of

(a) Tens=2

(b) Ten thousandths=8

(c) Tenths=4

(d) Ones=1

Answer:

  compare both to 1/2: 2/6 < 1/2 < 5/8

Step-by-step explanation:

There are many strategies that could be used:

__

Common denominator

Recognize that denominators 6 and 8 have a least common multiple of 24. That means both fractions can be expressed using 24 as a denominator.

  2/6 = 8/24

  5/8 = 15/24

Then 8/24 < 15/24, so 2/6 < 5/8.

Some easy reference

We notice both fractions have even denominators, so they can be easily compared to 1/2

  2/6 < 3/6

  5/8 > 4/8

One is less than the reference, and the other is greater, so ...

That is, 2/6 < 1/2 < 5/8, so 2/6 < 5/8

Subtract one from the other

  2/6 -5/8 = (16 -30)/48 = -14/48 . . . . a negative number

This means the second fraction is larger than the first:

  2/6 < 5/8

Note that we have used the simple form a/b -c/d = (ad -bc)/(bd) so we don't have to mess with least common denominator.

Convert both to decimal

Often, it is sufficient to use 2 or 3 decimal places for comparison purposes. Here, we can do the comparison with one decimal place.

  2/6 ≈ 0.3

  5/8 ≈ 0.6

We know that 0.3 < 0.6, so 2/6 < 5/8.

Cross multiply

If you take a look at the subtraction formula we used above, you can see that the sign of the difference is equal to the sign of the difference of the cross products. That is, we can determine the relation from ...

  a/b ?? c/d   ⇒   ad ?? bc

Here, that is ...

  2/6 ?? 5/8   ⇒   (2)(8) ?? (6)(5)   ⇒   16 < 30

That means 2/6 < 5/8.