Anna, Brianna and Caleb share some money in the ratio 5:3:7
Caleb receives £9.60 more than Brianna.
What was the total of the sum of money that was shared?
(3 punten)

Answer: $100.00 per pound

Answer:

(a) Locker A has the better deal

Step-by-step explanation:

Given

\(A = \frac{\$28}{yd^2}\) -- monthly

\(B = \frac{\$1.43}{ft^2}\) --- weekly

\(1\ month = 4\ weeks\)

Required:

Determine which gives the better price

\(B = \frac{\$1.43}{ft^2}\) --- weekly

Convert to monthly rate:

\(B = \frac{\$1.43*4}{ft^2}\)

\(B = \frac{\$5.72}{ft^2}\) --- monthly

Convert ft^2 to yd^2

\(1ft^2 = 0.111yd^2\)

So, we have:

\(B = \frac{\$5.72}{0.111yd^2}\)

\(B = \frac{\$51.53}{yd^2}\) --- monthly

By comparing:

\(A = \frac{\$28}{yd^2}\)

\(B = \frac{\$51.53}{yd^2}\)

Locker A has the better deal

So, the spread of the numbers 4, 6, 7, 9, 9 is 5.

Spread can refer to different things depending on the context. Here are a few examples:

In finance, spread refers to the difference between the bid price and the ask price of a security or asset. The bid price is the highest price a buyer is willing to pay for a security, while the ask price is the lowest price a seller is willing to accept. The spread represents the cost of trading that security or asset and is typically measured in basis points (hundredths of a percentage point).

In sports betting, spread refers to the point spread or handicap that is assigned to a team in order to make the betting odds more even. For example, if a football team is favored to win by 7 points, they may be assigned a -7-point spread, meaning they would have to win by more than 7 points for a bet on them to be successful.

In epidemiology, spread refers to the transmission of a disease from one person to another. The spread of a disease can be influenced by a variety of factors, including the infectiousness of the disease, the proximity and frequency of contact between people, and the effectiveness of measures to prevent transmission (such as vaccines or masks).

In cooking, spread can refer to a variety of ingredients that are used to spread on bread or crackers, such as butter, jam, or peanut butter.

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Answer:

1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
0.0755 * 100 = 7.55%

Step-by-step explanation:

To find the percentage of 1 - 3√(5/35), we need to first evaluate the expression.

1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755

To convert this decimal to a percentage, we simply multiply by 100:

0.0755 * 100 = 7.55%

Answer:

3(4+5)

Step-by-step explanation:

just fill in the numbers for x and y

Answer:

3(x + y)

x = 4 y = 5

3(4 + 5)

12 + 15

= 27

Step-by-step explanation:

The number of solutions the system of 1/3 y - 5 = 2x and y = 3(2x + 5) have is no solution.

1/3y - 5 = 2x

1/3y - 2x = 5

y = 3(2x + 5)

y = 6x + 15

y - 6x = 15

1/3y - 2x = 5. (1)

y - 6x = 15. (2)

1/3y(3) - 2x(3) = 5(3)

y - 6x = 15. (3)

y - 6x = 15. (2)

y - 6x = 15. (3)

0 = 0

Therefore, the number of solutions the system of 1/3 y - 5 = 2x and y = 3(2x + 5) have is no solution.

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The area of the circle with a perimeter of 80 feet is 509.31 square feet.

The entire length of the rope = 80 feet

So, the perimeter of the flower bed = 80 feet

Since the flower bed is in a square shape

So, the perimeter of the square = The entire length of the rope

The perimeter of the square = 80 feet

Suppose the side of the square is a

So, 4a = 80

a =20

So, the area of the square = 20² = 400 square feet.

The area of a circle with a radius r is πr².

Similarly, when the flower bed is in a circular shape

The perimeter of the circle = 80

Suppose the radius of the circle is r

So, \(2\pi r =80\\\\\)

\(r= 12.73 feet\)

Area of circle = \(\pi r^{2}\)

Area of circle = 509.31 square feet.

Therefore, the area of the circle with a perimeter of 80 feet is 509.31 square feet.

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The proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places.

To find the proportion of Arts majors who have not found a job, we first need to calculate the total number of students who have not found a job.

The total number of students who have not found a job would be 1500 - 1380 = 120.

To calculate the proportion of students who have not found a job, we can divide the number of students who have not found a job by the total sample size:

The proportion of students who have not found a job = 120 / 1500 = 0.08 or 8%.

Therefore, the proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places. This suggests that a majority of the graduating Arts majors from the University of Western Cape have found employment before their graduation.

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Answer:

220√3

Step-by-step explanation:

220 x tan60°

220√3

The two types of frequency distributions are Discrete Frequency Distribution and Grouped Frequency Distribution

The two types of frequency distributions are;

When the data consists of discrete, separate values, this sort of distribution is used. It displays the frequency or number of occurrences of each value.

The data is often expressed in a table with two columns: one for distinct values and another for the frequencies of those values.

This distribution is utilized when the data is continuous and has a wide range of values. It entails categorizing the data into intervals or classes and then calculating the frequency of values that fall within each interval.

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The confidence interval based on the given values (x = 45, n = 96, Confidence level = 95%.

The confidence level (95%), sample size (n = 96), and sample mean (x = 45), we can calculate the margin of error and the confidence interval. Here's how:

1. Margin of Error:

The margin of error represents the maximum expected difference between the true population parameter and the sample estimate. It depends on the confidence level and the standard deviation (which we don't have in this case).

Since the standard deviation is unknown, we can use the t-distribution to estimate it. With a sample size of n = 96, the degrees of freedom are (n - 1) = 95. Considering a 95% confidence level, the critical value for a two-tailed test is approximately 1.984 (referencing a t-distribution table or calculator).

The margin of error (E) can be calculated using the following formula:

E = critical value * (standard deviation / sqrt(n))

However, since we don't have the standard deviation, we can't compute the margin of error in this case.

2. Confidence Interval:

The confidence interval represents a range of values within which the true population parameter is likely to fall.

The confidence interval can be calculated using the formula:

CI = x ± (critical value * standard deviation / sqrt(n))

The confidence interval based on the given values (x = 45, n = 96, confidence level = 95%.

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Answer:

3

Step-by-step explanation:

A cube will have six sides, therefore the numbers would run from 1 to 6 on a cube. There are only 3 numbers after 3 up until 6. So it is 3.

The total number of possible outcomes for the probability is P = 24 outcomes

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Rolling a cube: A standard six-sided cube has numbers 1 through 6. However, we are only interested in outcomes where the number on the cube is greater than 3.

So there are only 3 possible outcomes: 4, 5, or 6.

Spinning a spinner: The number of possible outcomes on a spinner depends on the specific spinner being used. Now , the spinner has 4 equally likely outcomes: A, B, C, and D.

Flipping a coin: A standard coin has 2 sides: heads (H) and tails (T). So there are 2 possible outcomes.

Multiplying the number of outcomes for each event, we get:

Number of outcomes for rolling a cube: 3

Number of outcomes for spinning a spinner: 4

Number of outcomes for flipping a coin: 2

Total number of possible outcomes: 3 x 4 x 2 = 16

Hence , there are 24 unique outcomes possible where the number on the cube is greater than 3

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The complete question is attached below :

Tina will roll the cube, spin the spinner, and flip the coin one time each to form an outcome.

How many unique outcomes are possible where the number on the cube is greater than 3?

Answer:

y = x + 1

Step-by-step explanation:

We can use the point-slope formula to write an equation for this problem. The point-slope formula states: (y - y1) = m (x - x1)

Where m is the slope and (x1 y1) is a point the line passes through.

Substituting the slope and the values from the point in the problem gives:

( y - 2 ) = 1 ( x - 1 )

We can also solve for y to put the equation in slope-intercept form. The slope-intercept form of a linear equation is: y = mx + b

y - 2 = 1x - 1

y = 1x - 1 + 2

y = 1x + 1 or y = x + 1 * are just the same.

The equation of the line is y = x + 1.

The slope and direction of a line are represented numerically by the line's gradient, which is also referred to as the slope in mathematics.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

And here we have the slope,

m = 1

And (x₁ ,y₁)  =  (1,2)

then the equation of line is

y - y₁ = m (x - x₁)

y - 2 = (x -1)

y = x + 1

Therefore, the equation is y = x + 1.

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Answer:

1) false

2) false

3) true

4)false

5) true

6) true

\(\\ \sf\longmapsto 2x^2+x-4=0\)

\(\\ \sf\longmapsto 2x^2+x=4\)

\(\\ \sf\longmapsto 8(2x^2+x=4)\)

\(\\ \sf\longmapsto 16x^2+8x=32\)

\(\\ \sf\longmapsto (4x)^2+2(4x)(1)=32\)

\(\\ \sf\longmapsto 4x^2+2(4x)(1)+1^2=32+1^2\)

\(\\ \sf\longmapsto (4x+1)^2=33\)

\(\\ \sf\longmapsto 4x+1=\pm\sqrt{33}\)

\(\\ \sf\longmapsto 4x=-1\pm\sqrt{33}\)

\(\\ \sf\longmapsto x=\dfrac{-1\pm\sqrt{33}}{4}\)

Answer:

c

Step-by-step explanation:

smart boi

Step-by-step explanation:

A = (3, 6)

B = (6, 9)

C = (9, 3)

first scaled down (dilated) by the factor of 1/3 in the direction of the origin = point (0, 0).

then moved left by 2 units and down by 3 units.

the dilation about the origin simply multiplies each coordinate by the scale factor.

Ad = (3×1/3, 6×1/3) = (1, 2)

Bd = (6×1/3, 9×1/3) = (2, 3)

Cd = (9×1/3, 3×1/3) = (3, 1)

to move 2 units to the left means to subtract 2 from the x coordinates.

to move 3 units down means to subtract 3 from the y coordinates.

A' = (1-2, 2-3) = (-1, -1)

B' = (2-2, 3-3) = (0, 0)

C' = (3-2, 1-3) = (1, -2)

therefore, B is the right answer option.

The correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3)

For the first question:

The table shows a proportional relationship between x and y. To describe what the graph of this proportional relationship would look like, we can examine the given data points.

The data points are (12, 3), (8, 26), and (24, ?). We can observe that as x increases, y also increases. This indicates a positive correlation between the variables. Additionally, we can see that the ratio of y to x remains constant for each data point.

Now, let's analyze the answer options:

A. A line passes through the point (0, 0) and continues through the point (3, 12).

This answer option does not align with the given data because there is no data point with an x-value of 3 and a corresponding y-value of 12.

B. A line passes through the point (0, 0) and continues through the point (2, 8).

This answer option aligns with the given data because (2, 8) is a valid data point from the table, and the line passes through the origin (0, 0).

C. A line passes through the point (0, 0) and continues through the point (6, 24).

This answer option does not align with the given data because there is no data point with an x-value of 6 and a corresponding y-value of 24.

D. A line passes through the point (0, 0) and continues through the point (12, 3).

This answer option aligns with the given data because (12, 3) is a valid data point from the table, and the line passes through the origin (0, 0).

Based on the analysis, the correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3). This accurately represents the graph of the proportional relationship given in the table.

For the second question, I'm sorry, but you didn't provide the multiple-choice options or the complete question. Could you please provide the question and options so that I can assist you further?

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Answer: Choice C)  \(\text{Domain: }\left\{x | \ -4 \le x \le 4\right\}\)

This is because the left-most point occurs when x = -4, and the right-most point is when x = 4. We can have any x value in between these endpoints. The domain is the set of all allowed x inputs.

Answer:

800 books

problem solving steps：

adults:60%

young people:5%

children=100%-60%-5%

=35%

35%=280 books

1%=280÷35

=8

100%=800

so,there are 800 books

Answer:

16.24

Step-by-step explanation:

of means multiply

28% * 58

Change to decimal form

.28 * 58

16.24

Answer:

\(\Large \boxed{\mathrm{16.24}}\)

Step-by-step explanation:

\(28\% \times 58\)

\(\displaystyle \sf Apply \ percentage \ rule : a\%=\frac{a}{100}\)

\(\displaystyle \frac{28}{100} \times 58\)

\(\sf Multiply.\)

\(\displaystyle \frac{1624}{100} =16.24\)

Answer:

60

Step-by-step explanation:

180 - 120 = 60

Answer:

option A

Step-by-step explanation:

here's your solution

=> 6x - 7y = 28

=> - 7y = 28 - 6x

=> - y = 28/7- 6x/7

=> -y = 4 - 6x/7

=> y = 6x/7 - 4

hope it helps

The measures of the non-right angles of each triangle are 40 degrees and 50 degrees.

The sum of the interior angles of a regular 18-gon can be found using the formula:

S = (n - 2) × 180 degrees

n is the number of sides of the polygon.

Substituting n = 18 we get:

S = (18 - 2) × 180 degrees

= 2880 degrees

The 18-gon into 36 right triangles need to draw 18 lines from the center of the polygon to its vertices dividing the polygon into 36 congruent sectors each with a central angle of 360 degrees / 18 = 20 degrees.

Each sector is an isosceles triangle with two sides of equal length radiating from the center of the polygon.

The vertex angle of each isosceles triangle is equal to twice the central angle or 40 degrees.

Since the vertex angle of a right triangle is 90 degrees the two non-right angles of each right triangle are 40 degrees and 50 degrees.

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48 boards

Step-by-step explanation:

length of a board = 5½ in = 11/2

Total length should be covered = 22 ft = 264 in (1ft = 12in)

total boards needed = 264 ÷11/2

= 264 × 2/11

= 24 ×2

= 48 boards

please please please please please please

Answer:

-10

Step-by-step explanation:

i

The required 7,000 gallons of gasoline which are 9% ethanol must be added to 2,000 gallons of gasoline with no ethanol to get a mixture that is 7% ethanol.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
To solve the problem, we can use the following formula:

(amount of ethanol in the final mixture) / (total amount of gasoline in the final mixture) = 7%

To find the amount of ethanol in the 2,000 gallons of gasoline with no ethanol:

ethanol in 2,000 gallons of gasoline with no ethanol = 0 × 2,000 = 0 gallons

Then, find the amount of ethanol in the final mixture:

ethanol in final mixture = (0.09x + 0 * 2,000) / (x + 2,000)

Notice that we use 0 gallons for the ethanol in the 2,000 gallons of gasoline with no ethanol, since it contains no ethanol.

Ethanol in the final mixture / total amount of gasoline in the final mixture = 7%

(0.09x + 0) / (x + 2,000) = 0.07

0.09x + 0 = 0.07(x + 2,000)

0.09x = 0.07x + 140

0.02x = 140

x = 7,000

Therefore, 7,000 gallons of gasoline which is 9% ethanol must be added to 2,000 gallons of gasoline with no ethanol to get a mixture that is 7% ethanol.

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