Heather saved $20 a week. This was 5% of her salary. What was Heather’s weekly salary?

Answer:

a) 15

b) 9

c) 2

Step-by-step explanation:

im try it by using trial and error by calculator

Answer:

Step-by-step explanation:To calculate the savings percentage, we first need to find out the cost of the cardboard required for each box.

For the larger box:

Total Surface Area = 2 * (1926 + 1934.5 + 26*34.5) = 2 * (494 + 655.5 + 897) = 4093 cm²

Cost of cardboard for larger box = 0.502 * 4093 = 2055.986 cents = 20.55986 dollars (rounded to 5 decimal places)

For the smaller box:

Total Surface Area = 2 * (2517 + 2526 + 1726) + 6 * (25-21)* (17-2*1) = 3034 cm²

Note that the additional term in the equation is the surface area of the six sides of the lid and base of the box.

Cost of cardboard for smaller box = 0.502 * 3034 = 1522.268 cents = 15.22268 dollars (rounded to 5 decimal places)

The difference in cost between the larger and smaller boxes is:

20.55986 - 15.22268 = 5.33718 dollars (rounded to 5 decimal places)

The percentage savings can be calculated as follows:

Percentage savings = (difference in cost / cost of larger box) * 100%

= (5.33718 / 20.55986) * 100%

= 25.98%

Therefore, using the smaller box will result in a savings of approximately 26% on cardboard costs for Bathu Sneakers compared to using the normal larger box.

Answer:

so first put a dot on -5 on the y axis then go up 4 and to the right 1 and put a second dot and connect them

Answer:

  f^-1(x) = (4x +3)/(1 -x)

Step-by-step explanation:

Solve for y:

  f(y) = x

  (y -3)/(y +4) = x

  y -3 = xy +4x . . . . . . multiply by y+4

  y -xy = 4x +3 . . . . . . add 3-xy

  y(1 -x) = 4x +3 . . . . . factor out y

  y = (4x +3)/(1 -x) . . . divide by the coefficient of y

The inverse function is ...

  f^-1(x) = (4x +3)/(1 -x)

f(x) = x² - 5x + 2

To find f(-3) simply substitute x=-3 in the above

f(-3) = (-3)² - 5(-3) + 2

= 9 + 15 + 2

=26

Answer:

A. \(\frac{24}{25}\)

Answer:

m = 3/20

Step-by-step explanation:

3/5 = 4m

3/(5*4) = m

3/20 = m

Check

3/5 = 4*3/20

3/5 = 12/20

Step-by-step explanation:

\( \frac{3}{5} = 4m \\ \\4m = \frac{3}{5} \\ \\ m = \frac{3}{5} \times \frac{1}{4} \\ \\ m = \frac{3 \times 1}{5 \times 4} \\ \\ m = \frac{3}{20} \)

# be careful #

According to the angles between intersecting secant and tangent, the value of

angle DF is 52 degrees

angle PQR = 49 degrees

The value of angle DF is solved using the angles of intersecting secant out side the circle

The theorem give the formula in the form

44 = 1/2 (140 - DF)

88 = 140 - DF

DF = 140 - 88

DF = 52 degrees

Using intersection of tangents, for the second figure

exterior angle = 1/2 (major arc - minor arc)

major arc = 360 - 131 = 229

PQR = 1/2 (229 - 131)

PQR = 49 degrees

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Answer:

x = 100

Step-by-step explanation:

All you need is contained in the sheet attached

Answer:

x = 100

Step-by-step explanation:

3 log2(x) - 2 log2(5x) = 2

We know that a log(c) = log c^a

log2(x)^3 - log2(5x)^2 = 2

log2(x^3) - log2(25x^2) = 2

We know that log a - log b = log a/b

log2(x^3 /25x^2) = 2

Simplify

log2(x /25) = 2

Raise each side to  base 2

2^log2(x /25) = 2^2

x/25 = 4

Multiply each side by 25

x = 4*25

x = 100

Answer:

Step-by-step explanation:

We need to find the difference in progress:

The first student is 1/12 ahead

Answer: B, D

Step-by-step explanation:

Block A volume:

length = 6 cm

height  = 1 cm

width = 2 cm

V = l*w*h = 12 cm^3

Block B volume:

length = 4 cm

height = 3 cm

width = 2 cm

same formula = 4*3*2 = 24 cm^3 √

Block C volume:

length = 5 cm

height = 3 cm

width = 3 cm

5*3*3 = 45 cm^3

Block D volume =

length = 6 cm

height = 2 cm

width = 2 cm

6*2*2 = 24 cm^3 √

The required answers are 1) \($$A = x^2 + 28x + 192$$\) 2) 300000 3) \($$x^2 + 28x + 192 = (x + 14 - 2\sqrt{19})(x + 14 + 2\sqrt{19})$$\).

area of the land purchased is given as 480m², and the dimensions of the land are (x+12)mx(x+16)m. Therefore, the area of the land can be expressed as:

\($$A = (x+12)(x+16)$$\)

Expanding this expression, we get:

\($$A = x^2 + 28x + 192$$\)

Hence, the area of the land purchased is given by the polynomial expression \($x^2 + 28x + 192$\).

The total budget for the expenses is Rs. 5,00,000. If Mr. Chand's daughter is ready to share 3/5 of the expenses, then the fraction of the expenses she will pay is:

\($\frac{3}{5}=\frac{x}{500000}$$\)

Simplifying this expression, we get:

\($x = \frac{3}{5}\times 500000 = 300000$$\)

Therefore, Mr. Chand's daughter will pay Rs. 3,00,000 towards the expenses.

We can solve the polynomial \($x^2 + 28x + 192$\) into different factors by using the quadratic formula:

\($x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$\)

Here, the coefficients of the polynomial are:

\($$a = 1, \quad b = 28, \quad c = 192$$\)

Substituting these values in the quadratic formula, we get:

\($x = \frac{-28 \pm \sqrt{28^2 - 4\times 1 \times 192}}{2\times 1}$$\)

Simplifying this expression, we get:

\($$x = -14 \pm 2\sqrt{19}$$\)

Therefore, the polynomial \($x^2 + 28x + 192$\) can be factored as:

\($$x^2 + 28x + 192 = (x - (-14 + 2\sqrt{19}))(x - (-14 - 2\sqrt{19}))$$\)

or

\($$x^2 + 28x + 192 = (x + 14 - 2\sqrt{19})(x + 14 + 2\sqrt{19})$$\)

So, we have factored the polynomial into two factors.

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The linear equation is.

y = -0.4*x + 28

Using that, we can see that a person that spends 10 hours in social media is about 45 years old.

Remember that the general linear equation is:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we know that a line passes through two points (x₁, y₁) and (x₂, y₂), then the slope is given by:

\(a = (y_1 - y_2)/(x_1 - x_2)\)

In this case we have the two points:

(50, 8) and (20, 20)

Where the first value is the age and the second is the time they spend on social media.

Using these values, we can get the slope:

\(a = (20 - 8)/(20 - 50) = 12/-30 = -0.4\)

Then the line is something like:

y = -0.4*x + b

To find the value of b we can evaluate the point (20, 20), this gives:

20 = -0.4*20 + b

20 + 0.4*20  = b

28 = b

Then the linear equation that models this situation is:

y = -0.4*x + 28

Using this, the age of a person who spends 10 hours per week in social media is given by solving:

10 = -0.4*x + 28

(10 - 28)/-0.4 = x

45 = x

So a person that spends 10 hours in social media is about 45 years old.

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Noah is consistently adding 0.5 gallons of water every minute to a tank. 2 minutes are spent filling a gallon.

The rate of filling is the amount of water that is filled per unit of time. In this instance, Noah is consistently adding 0.5 gallons of water each minute to the tank.

To determine the rate of filling in minutes per gallon, we can simply take the reciprocal of the rate of filling in gallons per minute.

That is:

Rate of filling in minutes per gallon = 1 / Rate of filling in gallons per minute

So, the rate of filling in minutes per gallon is:

1 / 0.5 gallons per minute = 2 minutes per gallon

Therefore, Noah is filling the tank at a rate of 2 minutes per gallon.

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Answer:

D

Step-by-step explanation:

\(\frac{1}{2} = \frac{7}{14} \\\)

\(\frac{1}{7} = \frac{2}{14}\)

\(\frac{7}{14} + \frac{2}{14} = \frac{9}{14}\)

5+2=7

\(7 + \frac{9}{14} = 7 \frac{9}{14}\)

Step-by-step explanation:

that is the same as the volume of a cylinder :

pi×r²×height = pi×4²×4 = pi×64 = 201.0619298... in³

≈ 201 in³

Volume is a three-dimensional scalar quantity. The volume of the tube is 201.0619 inches³.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of a cylinder is given by the formula as shown below,

Volume of a cylinder = πr²h

where r is the radius of the cylinder while h is the height of the cylinder.

Given that a tube has a radius of 4 inches and a height of 4 inches. Therefore, the volume of the tube will be,

The volume of the tube = π × R² × h

                                       = π × (4 inches)² × (4 inches)

                                       = 64π inches³

                                       = 201.0619 inches³

Hence, the volume of the tube is 201.0619 inches³.

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The mean of the data is 30, the median is 26.5 and the mode of the data is 22.2.

In mathematics, the three main methods for indicating the average value of a set of integers are mean, median, and mode. Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean. An average is most frequently used to refer to this. The middle value in a list that is arranged from smallest to greatest is called the median. The value that appears the most frequently on the list is the mode.

The mean is given as:

mean = summation of the frequency / total frequency

mean = 3360/112 = 30

The median of the given data is the central value.

In the given data median is the mean of the ages between 56 and 57.

Median = 20 + (112/2) - 41 / 23 (10)

Median = 26.5

The mode is given for the data having the highest frquency.

The highest frequency is observed at 20 - 29:

Mode = 20 + (23 - 21) / (23 - 21 + 23 - 16) (10)

Mode = 22.2

Hence, the mean of the data is 30, the median is 26.5 and the mode of the data is 22.2.

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Answer:

The height of the building: g

Distance from the building to the base of the ladder: 57

The length of the ladder: m

Angle the ladder makes with the building: k

Angle the ladder makes with the ground: 55

Step-by-step explanation:

Based off the location of the variables and numbers, the descriptions match where they are.

Hope that helps!

Answer:

(7/2+2/5)+8/3

=(3.5+0.4)+2.66

=(3.9)+2.66

=6.56

so its 6.56

Step-by-step explanation:

The growth rate function indicates that the number of years The Iron Man's net worth will reach the net worth of T'Challa is about 87 years

The growth rate is the rate of growth of a function with regards to the input variable.

T'Challa's net worth in the Marvel comics = 80 trillion (8 × 10¹³) Dollars

The Iron Man's net worth = 20 billion (2 × 10¹⁰) Dollars

The growth rate per annum of The Iron Man's net worth = 10% per annum

The number of years it will take to reach T'Challa can therefore, be found as follows;;

(2 × 10¹⁰) × (1 + 0.1)ˣ = (8 × 10¹³)

(1 + 0.1)ˣ = (8 × 10¹³)/(2 × 10¹⁰)

x·ln(1 + 0.1) = ln((8 × 10¹³)/(2 × 10¹⁰))

x = (ln((8 × 10¹³)/(2 × 10¹⁰)))/(ln(1 + 0.1)) ≈ 87 years

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For the function f(x) = 7/8x² - 14, the x-intercepts are x = -4 and x = 4.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

To find the x-intercepts of the function f(x), we need to solve the equation f(x) = 0.

f(x) = 7/8x² - 14

Substitute f(x) with 0 -

0 = 7/8x² - 14

Add 14 to both sides -

7/8x² = 14

Multiply both sides by 8/7 -

x² = 16

Take the square root of both sides -

x = ±4

Therefore, the x-intercepts of the function f(x) are x = -4 and x = 4.

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The volume of the composite figure is 6,330.24 in^3

We know that the volume of half a sphere of radius R is:

V = (2/3)*pi*R^3

Here we know that pi = 3.14 and R = 12 inches, then the volume is:

V = (2/3)*3.14*(12 in)^3 = 3,617.28 in^3

And the volume of a cone of height H and radius R is:

v = (1/3)*pi*R^2*H

So here the volume is:

v = (1/3)*3.14*(12in)^2*18in = 2,712.96 in^3

Then the total volume is:

3,617.28 in^3 +  2,712.96 in^3 = 6,330.24 in^3

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Answer:

do you no mythpat i don't known this ans because i am In class 5

Answer:

45/18 = 2.5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

8.42×1000=8420 which is between 8400 and 8500

Answer:

the answer would be D

Step-by-step explanation:

8.42 x 10^3 = 8420

The marksman hit 54% of the targets last year when expressed as a percentage, based on hitting 27 out of 50 targets from a distance of 100 yards.

From the given information, we know that a marksman hit 27 out of 50 targets last year from a distance of 100 yards.

To analyze this data, we can calculate the hit rate or success rate of the marksman. The hit rate is calculated by dividing the number of hits by the total number of attempts or trials.

Hit rate = Number of hits / Total number of attempts

In this case, the number of hits is 27, and the total number of attempts is 50.

Hit rate = 27 / 50

Simplifying the fraction, we get:

Hit rate = 0.54 or 54%

Therefore, the marksman had a hit rate of 54% last year.

This means that out of the 50 targets attempted from a distance of 100 yards, the marksman successfully hit 27 of them.

The hit rate serves as a measure of accuracy and effectiveness in target shooting. A higher hit rate indicates a higher level of skill and precision.

It's important to note that other factors such as weather conditions, visibility, and the difficulty level of the targets can influence the hit rate. Additionally, the marksman's skills may improve or vary over time, so this hit rate represents their performance specifically for the past year.

By analyzing the hit rate, we can gain insights into the marksman's accuracy and assess their proficiency in target shooting from a distance of 100 yards.

The question was incomplete. find the full content below;

Rewrite The Fraction In The Sentence Below As A Percentage.

From 100 Yards Away, A Marksman Hit 27/50 Of The Targets Last Year.

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Answer:

(a)12 weeks

(b)$360

Explanation:

Part A

Let the number of weeks when they have the same amount of money in their accounts be x.

If the amount of money is equal:

Solve for x:

Therefore, they will have the same amount of money after 12 weeks.

Part B

The amount that each person will have, (Using Jessica's Equation)

The amount, in dollars, that each person will have after 12 weeks is $360.

The graph given is a representation of a two-dimensional coordinate plane, with points A, B, C, D, and E. The question is asking which statements about line n are true. Line n is the line connecting points A and C.

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(Complete Question: Use the graph below to answer the question. Which statements about line n are true?n Select all that apply.

Ansswer choices:

a) The slope of line n is equal to BC/AC.

b) The slope of line n is equal to AC/BC.

C) The slope of line n is equal to BC/DE.

d) The slope of line n is equal to DE/AE.

e) The slope of line n is equal to AE/DE.

f) The slope of line n is equal to AC/AE.)

Answer:

8 cm

Step-by-step explanation:

Given that , the diameter of the semicircle is 20 cm . And the angle made by the level of liquid and the diameter is 37°. For diagram kindly refer to attachment .Let the depth of the liquid be represented by h . Now from the figure , ( attached ) :-

⇒ cos 37° = AB / AC

⇒ cos 37° = AB / 20 cm

⇒ 4/5 = AB / 20 cm .

⇒ AB = 4/5 * 20 cm .

⇒ AB = 16 cm .

Now , again AOB is s semicircle and AB is diameter , And the radius will be half of diameter .Hence here h = r = 16cm/2 = 8 cm .

The solution for the variable is that the variable should be greater than 9.375

An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g 2x > 4

Given: the inequality 58x+170 > 42x+320. The unknown variable is x

In word problem, we can write:

When a variable x is multiplied by 58 and then 170 is added. The result is greater than variable x multiplied by 42 with 320 added

Solution for the unknown

58x+170 > 42x+320

58x-42x > 320-170

16x > 150

x > 150/16

x > 9.375

Thus, the solution for the unknown is that the unknown should be greater than 9.375

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