if 5^x = 1/125, find the value of x

Answer:

16/52, or 4/13.

Step-by-step explanation:

First, since we know that the question is asking for the probability of a club or a jack, we know that we have to add the two probabilities. The first probability is that of picking a club, which is 13/52. The probability of picking a jack (be sure not to overlap; don't double count the jack of clubs) is 3/52. Adding these two gives us 13/52+3/52=16/52, which simplifies to 4/13.

Answer:

yes, that is very correct

Step-by-step explanation:

yes

Answer:

B

Step-by-step explanation:

The parents of the seventh-grade students, best describe the population that the teacher should survey. Option B is correct.

A survey in human subjects research is a set of questions designed to elicit specific information from a specific group of people.

As mentioned in the question, the teacher needs to find out how many seventh-grade students will be going on a field trip. For this teacher must ask to the students of seventh grade as well as survey the parents of the seventh-grade students.

Thus, the parents of the seventh-grade students, best describe the population that the teacher should survey. Option B is correct.

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Answer:

E. 120

Step-by-step explanation:

Let's say the number of total flowers is (15+2)x

That means the number of geraniums is 2x.

That also means that 1020 = 17x, which makes x = 60

Because 2x = geraniums and x = 60, the number of geraniums is 120

Answer:

Step-by-step explanation:

(a+b)²=a²+2ab+b²

9x²+30x+ca

=(3x)²+2×3x×5+c

=(3x)²+2×3x×5+5²-5²+c

=(3x+5)²-25+c

it is a perfect square if -25+c=0

or c=25

The value for c to make 9x²+30x+ca perfect square trinomial is 25.

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.

We have Equation,

9x²+30x+ca

Using algebraic identity

(a+b)²=a²+2ab+b²

So, 9x²+30x+ca

=(3x)²+2×3x×5+c

=(3x)²+2×3x×5+5²-5²+c

=(3x+5)²-25+c

The given equation is a perfect square if -25+c=0

c = 25

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Answer:

The price of 1 packet of French fries, 1 cheeseburger, and one drink cost $5.55

Step-by-step explanation:

Let

x ----> the price of 1 packet of French fries

y ---> the price of 1 cheeseburger

z ---> the price of one drink

we know that

[tex]3x+2y+z=10.95[/tex] ----> equation A

[tex]x+2y+3z=11.25[/tex] ---> equation B

Adds equation A and equation B

[tex]3x+2y+z=10.95\\x+2y+3z=11.25\\------------\\3x+x+2y+2y+z+3z=10.95+11.25\\4x+4y+4z=22.2[/tex]

Divide both sides of the equation by 4

[tex]x+y+z=5.55[/tex] ----> equation C

The equation C means ----> The price of 1 packet of French fries, 1 cheeseburger, and one drink cost $5.55

Answer:

C. (–4, 0), (–2, 0), (1, 0), and (3, 0).

Step-by-step explanation:

The points where the graph intersects the x axis have y coordinates of zero and the given x coordinates.

(–4, 0), (–2, 0), (1, 0), and (3, 0) is the answer.

Answer:

-30

Step-by-step explanation:

I am assuming that x here is a multiplication sign. If so than the simplification is easy:

Answer:the area of the base of the box, B, is 6 ft2

The volume of the box is 33ft3

Step-by-step explanation:

Formula to find area of the base is bh (bass x height)

Formula for volume is (base x length)

The required volume of the packing box is 33 ft^3 and area of the base B is 6 ft^2

Area of the Rectangular Prism:

The area of the rectangular prism having a length and b width with h height is

Volume = a b h

If we are interested t find area of the base then

B = a b

here we have given that

a = 3 feet

b = 2 feet

h = [tex]5\frac{1}{2}[/tex] = 11/2 feet

Therefore the area of the base B = a b = 3 x 2 = 6 ft^2

Now the volume of the object is

V = B h

V = 6 x 11/2 = 33 ft^3

This is the required volume of the rectangular prism

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Answer:

4.5834m^2

Step-by-step explanation:

You do (length)*(width) which is (3 3/2m)*(1 1/4m) = 4.5834m^2 This is rounded because it was 4.5833333333 repeating.

Answer: the answer is 4 7/12m

Step-by-step explanation: Multiply both 3 2/3 and 1 1/4 to get 4 7/12. i know it isn't an explanation.

Answer:

C. 0.1667

Step-by-step explanation:

1/6 +0/6 + -1/6

The closest answer is C. 0.1667

Based on 2nd throw of dice shows zero then  0.1667 of the answer is shown on the 3rd throw in decimal form of -1/6

Answer: 35

Step-by-step explanation:

Simplifying

5(x + 20) = 7x + 30

Reorder the terms:

5(20 + x) = 7x + 30

(20 * 5 + x * 5) = 7x + 30

(100 + 5x) = 7x + 30

Reorder the terms:

100 + 5x = 30 + 7x

Solving

100 + 5x = 30 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.

100 + 5x + -7x = 30 + 7x + -7x

Combine like terms: 5x + -7x = -2x

100 + -2x = 30 + 7x + -7x

Combine like terms: 7x + -7x = 0

100 + -2x = 30 + 0

100 + -2x = 30

Add '-100' to each side of the equation.

100 + -100 + -2x = 30 + -100

Combine like terms: 100 + -100 = 0

0 + -2x = 30 + -100

-2x = 30 + -100

Combine like terms: 30 + -100 = -70

-2x = -70

Divide each side by '-2'.

x = 35

Simplifying

x = 35

Answer:

[tex]x=35[/tex]

Step-by-step explanation:

Step 1:  Distribute

[tex]5(x + 20) = 7x + 30[/tex]

[tex](5 * x) + (5 * 20) = 7x + 30[/tex]

[tex]5x + 100 = 7x + 30[/tex]

Step 2:  Subtract 5x from both sides

[tex]5x + 100 - 5x = 7x + 30 - 5x[/tex]

[tex]100 = 2x + 30[/tex]

Step 3:  Subtract 30 from both sides

[tex]100 - 30 = 2x + 30 - 30[/tex]

[tex]70 = 2x[/tex]

Step 4:  Divide both sides by 2

[tex]70 / 2 = 2x / 2[/tex]

[tex]35 = x[/tex]

Answer:  [tex]x = 35[/tex]

Answer:

His family ate 8 cookies, 16 cookies left

Step-by-step explanation:

Multiply 24 by 1/3 to find what the family ate

24*1/3=8

So, his family ate 8 cookies

To find how many are left, subtract what the family ate from the total

24-8=16

So, 16 cookies are left

Hope this helps! :)

Answer:

25% chance

Step-by-step explanation:

32/4=8

8 out of 32 is a 25% chance

Answer:

17.0132

Step-by-step explanation:

Answer:

slope -1/2  

y intercept -1

Step-by-step explanation:

To find the slope given two points

m = (y2-y1)/(x2-x1)

    =(0--1)/(-2-0)

     = (0+1) /(-2-0)

     =1/-2

  = -1/2

The y intercept is when x = 0

(0,-1) is when x =0 so the y intercept is -1

Answer:

-½; -1

Step-by-step explanation:

(0 - -1)/(-2 - 0)

1/-2

= -½

y intercept is where x = 0,

So it is -1

its

Soup ready first

Sandwich ready first

Salad ready first

Answer:

Soup ready first  

Sandwich ready first  

Salad ready first

Step-by-step explanation:

Answer:

$64.80

Step-by-step explanation:

First, calculate the sales tax

Convert 8% into a decimal

8/100=0.08

Multiply the decimal by the cost of the game

60*0.08=4.8

$4.80 is just the tax, we have to find the total cost

Add the tax and the cost of the game

60+4.80=64.80

So, the total cost is $64.80

Hope this helps! :)

Box plots, or box-and-whisker plots, show data distribution through five main points: minimum, Q1, median, Q3, and maximum. A wider box indicates greater variability within the middle 50% of the data. To compare box plots, assess the spreads, medians, and potential outliers.

A box plot, also known as a box-and-whisker plot, is a graphical representation of a data set that shows the distribution through five main data points: minimum value, first quartile (Q1), median, third quartile (Q3), and maximum value.

To construct a box plot, you typically start with a number line that has been properly scaled. Using a ruler for this purpose ensures accuracy.

The box in a box plot represents the middle 50 percent of the data, spanning from Q1 to Q3.

The 'whiskers' of the plot stretch from the box to the minimum and maximum values, indicating the entire range of the dataset.

Comparing the spread of the middle 50 percent of the data involves looking at the width of the box: a wider box suggests a greater spread, meaning the data is more varied within the interquartile range (IQR).

If you are using a graphing calculator, you can enter the data into a list and then select the box plot function to graphically display the data.

When comparing two or more box plots, look for differences in their central values (medians), spreads (IQRs), and potential outliers (which lie beyond 1.5 times the IQR from the quartiles).

Answer:

I think 2 and 5

Step-by-step explanation:

The  pair of angles must be supplementary are ∠2 and ∠5.

The correct option is (B)

Two angles are called supplementary when their measures add up to 180 degrees.

Given that:

∠2=90 and ∠5=90

So,

∠2+∠5

=90+90

=180

Hence, angle 2 and 5 makes supplementary angles.

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Given:

Line l and line m are parallel.

Co-interior angles are (12x - 8)° and 104°.

To find:

The value of x.

Solution:

Sum of co-interior angles = 180°

12x° - 8° + 104° = 180°

12x° + 96° = 180°

Subtract 96° from both sides.

12x° + 96° - 96° = 180° - 96°

12x° = 184°

Divide by 12° on both sides.

x° = 7°

x = 7

The value of x is 7.

Answer:120

Step-by-step explanation:

Final answer:

The maximum number of swimmers with 3 lifeguards on duty is 31/3.

Explanation:

To find the maximum number of swimmers with 3 lifeguards on duty, we need to look at the pattern shown by the points on the coordinate plane. From the given information, we know that with 2 lifeguards, the maximum number of swimmers is 8. And with 4 lifeguards, the maximum number of swimmers is 12. With 5 lifeguards, the maximum number of swimmers is 15. So, we can assume that the pattern follows a linear relationship. To find the maximum number of swimmers with 3 lifeguards, we can create a linear equation using the two known coordinates: (2, 8) and (5, 15). Using the slope-intercept form of a linear equation, y = mx + b, we can solve for b. The slope, m, is (15-8)/(5-2) = 7/3. Plugging in one of the coordinates, such as (2, 8), we can solve for b: 8 = (7/3)(2) + b. Solving for b, we get b = 8 - 14/3 = 10/3. So, the equation for the line is y = (7/3)x + 10/3. Plugging in x = 3, we can find the maximum number of swimmers: y = (7/3)(3) + 10/3 = 21/3 + 10/3 = 31/3. Therefore, the maximum number of swimmers with 3 lifeguards on duty is 31/3.

Positive linear association shows the relationship between the amount of sugar in the cakes (in grams per 100 grams of cake) and the scores the cakes received.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given,

An international cake competition attracted 50 bakers from around the world.

We have to tell relationship between the amount of sugar in the cakes (in grams per 100 grams of cake) and the scores the cakes received.

Scores were highest for cakes that had between 15 and 25 grams of sugar per 100 grams of cake.

Positive linear association shows the relationship between the amount of sugar in the cakes (in grams per 100 grams of cake) and the scores the cakes received.

Hence Positive linear association shows the relationship between the amount of sugar in the cakes (in grams per 100 grams of cake) and the scores the cakes received.

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Answer:

8*4+3*3

Step-by-step explanation:

It can't be the last answer because he buys three packs of erasers for three dollars each. It can't be the third answer because you have to multiply to get the price. It can't be the first answer because it's three of the numbers given put together. So it has to be 8*4+3*3

Final answer:

The total amount Theo spent can be calculated on a calculator with the input: 8 × 4 + 3 × 3, which represents the cost of pencils plus the discounted cost of erasers.

Explanation:

To determine the total amount Theo spent, you need to calculate both the cost of the pencils and the cost of the erasers, taking into account the sale on erasers.

For pencils, Theo bought 8 packs at $4 each. For erasers, he bought 3 packs at a $2 discount from their regular price of $5 each, meaning each pack of erasers cost $5 - $2 = $3 per pack on sale.

The correct calculation on the calculator for the total amount spent would be the cost of pencils plus the cost of erasers: 8 packs × $4 per pack for pencils, plus 3 packs × $3 per pack for erasers on sale.

This can be entered into the calculator as 8 × 4 + 3 × 3.

Answer: D

Step-by-step explanation: To find the surface area of a composite 3D figure, add the areas of each geometric figure making up the composite 3D figure. To find the volume of a composite 3D figure, draw any necessary planes to view the figure as basic three dimensional figures, then: add basic figure volumes belonging to the composite shape.

Dividing the number of sides by the area of one of the composite figure's sides. and adding the areas of all the forms or faces that comprise the composite figure helps to find the area of a two-dimensional composite figure. Options A and B are correct.

The total land area of all the faces of a three-dimensional object is its surface area. When we wish to wrap something in real life, we employ the notion of surface areas of distinct things.

The area of a two-dimensional composite figure or the surface area of a three-dimensional composite figure may be calculated by;

Dividing the number of sides by the area of one of the composite figure's sides. and add the areas of all the forms or faces that comprise the composite figure.

Hence, options A and B are correct.

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Final answer:

The possible dimensions for a rectangular prism with a volume of 72 cubic meters are options B (3 m x 4 m x 6 m), D (9 m x 8 m x 1 m), and E (12 m x 2 m x 3 m), as their product of dimensions equals 72 cubic meters.

Explanation:

The question presents a schoolwork problem related to finding the possible dimensions of a rectangular prism with a given volume. According to the formula for volume, V = B x h, where V stands for volume, B is the area of the base, and h is the height. For a prism to have a volume of 72 cubic meters, the product of its dimensions (length x width x height) must equal 72.

For option A (2 m x 6 m x 7 m), the volume is 2 x 6 x 7 = 84 cubic meters, which is not equal to 72.

For option B (3 m x 4 m x 6 m), the volume is 3 x 4 x 6 = 72 cubic meters, which is correct.

For option C (3 m x 8 m x 4 m), the volume is 3 x 8 x 4 = 96 cubic meters, which is not equal to 72.

For option D (9 m x 8 m x 1 m), the volume is 9 x 8 x 1 = 72 cubic meters, which is also correct.

For option E (12 m x 2 m x 3 m), the volume is 12 x 2 x 3 = 72 cubic meters, which is another correct possibility.

Therefore, the possible dimensions for the rectangular prism with a volume of 72 cubic meters are represented by options B, D, and E.

Answer:

The 21st day

Step-by-step explanation:

If we mark the days, they will clash on the 21st day.

[tex]3*7=21[/tex]

Hope this helped. Have a nice day! Please mark brainliest!

Answer:

if i think u are talking about when these will over lap then they will over lap on the 21st day

Step-by-step explanation: