An ice cream parlor makes 1/3 of it's income from cones and 40% from sundaes. What fraction of it's income comes from other items

Answer:

6

Step-by-step explanation:

Answer: the answer is 7 (D)

Step-by-step explanation:

it is 1/2 for every cup

if you do 14/2 (14 divided by 1/2)

you get 7

Answer:

y = 4\(\sqrt{5}\) , ? = 10

Step-by-step explanation:

using Pythagoras' identity on the smallest right triangle

x² = 4² + 2² = 16 + 4 = 20 ( take square root of both sides )

x = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)

using Pythagoras' identity on the middle right triangle

y² = 8² + 4² = 64 + 16 = 80 ( take square root of both sides )

y = \(\sqrt{80}\) = \(\sqrt{16(5)}\) = \(\sqrt{16}\) × \(\sqrt{5}\) = 4\(\sqrt{5}\)

using Pythagoras' identity on the largest right triangle

?² = x² + y² = (2\(\sqrt{5}\) )² + (4\(\sqrt{5}\) )² = 20 + 80 = 100

Take square root of both sides

? = \(\sqrt{100}\) = 10

Answer:

(36/4)-(36/9)=5

(8*3)-12=12

Answer:

(36÷4) - (36÷9) = 5

(8x3) - 12 = 12

Answer:8w+2x

Step-by-step explanation:

Answer:

-2<=y<=-7

Step-by-step explanation:

9514 1404 393

Answer:

  (-1, 3)

Step-by-step explanation:

The midpoint is the average of the end points.

  M = (H +K)/2

  M = ((-4, 10) +(2, -4))/2 = (-4+2, 10-4)/2 = (-2, 6)/2

  M = (-1, 3)

The coordinates of the midpoint are (-1, 3).

The nth term rule of linear sequence is aₙ = aₙ₋₁ + 3

Linear sequence is a sequence of number in order with same difference .or same ratio.

when fixed number is added to any term of a sequence to get next term . That Fixed number is known as common difference.

The sequence in the given question

-5 , -2 , 1 , 4 , 7, . . . .

The first term of sequence : a₁ = -5

The second term : a₂ = -2

Common difference : d = a₂ - a₁

=> d = -2 - (-5)

=> d = -2 + 5

=> d = 3

The nth rule of linear sequence is aₙ = aₙ₋₁ + d

replacing the value of d

aₙ = aₙ₋₁ + 3 is nth rule of the linear sequence.

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a) The sum of the measures of the interior angles of the regular nonagon is given by S₉ = 1260°

b) The measure of each interior angle of the regular nonagon is a = 140°

c) The measure of each exterior angle of the regular nonagon​ is b = 40°

Given data ,

Sum of the measures of the interior angles of a regular nonagon:

The Polygon Interior Angle Sum Theorem states that the sum of the measures of the interior angles of a polygon with n sides is given by the formula:

Sum of interior angles = (n - 2) * 180°

For a nonagon, which has 9 sides, we can plug in n = 9 into the formula:

Sum of interior angles = (9 - 2) * 180

Sum of interior angles = 7 * 180

Sum of interior angles = 1260°

So, the sum of the measures of the interior angles of a regular nonagon is 1260°

Measure of each interior angle of a regular nonagon:

Since a regular nonagon has 9 sides, we can divide the sum of the interior angles (which we calculated as 1260 degrees) by the number of sides to find the measure of each interior angle:

Measure of each interior angle = Sum of interior angles / Number of sides

Measure of each interior angle = 1260 / 9

Measure of each interior angle = 140°

So, the measure of each interior angle of a regular nonagon is 140°

Measure of each exterior angle of a regular nonagon:

The Polygon Exterior Angle Sum Theorem states that the sum of the measures of the exterior angles of a polygon with n sides is always 360°

Since a regular nonagon has 9 sides, we can divide 360 degrees by the number of sides to find the measure of each exterior angle:

Measure of each exterior angle = 360 / Number of sides

Measure of each exterior angle = 360 / 9

Measure of each exterior angle = 40°

Hence , the measure of each exterior angle of a regular nonagon is 40°

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\( \frac{7}{9} \times (8 \frac{3}{7} + 5 \frac{11}{14}) = \\ \)

\( \frac{7}{9} \times (8 \frac{6}{14} + 5 \frac{11}{14} ) = \\ \)

\( \frac{7}{9} \times (13 \frac{6 + 11}{14}) = \\ \)

\( \frac{7}{9} \times (13 \frac{17}{14}) = \\ \)

\( \frac{7}{9} \times (14 \frac{3}{14}) = \\ \)

\( \frac{7}{9} \times ( \frac{14 \times 3 + 3}{14}) = \\ \)

\( \frac{7}{9} \times ( \frac{42 + 3}{14}) = \\ \)

\( \frac{7}{9} \times ( \frac{45}{14}) = \frac{7 \times 45}{9 \times 14} = \frac{5}{2} \\ \)

_________________________________

And we're done.

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Answer:

\(\displaystyle \frac{199}{18}\)

Step-by-step explanation:

Fraction Operations

Before attempting to operate with the given fractions, we need to express all of them in the form a/b, because the last 2 fractions are in mixed form.

\(\displaystyle 8\frac{3}{7}=8+\frac{3}{7}=\frac{8*7+3}{7}=\frac{59}{7}\)

\(\displaystyle 5\frac{11}{14}=5+\frac{11}{14}=\frac{5*14+11}{14}=\frac{81}{14}\)

Now for the sum of the last two fractions:

\(\displaystyle \frac{59}{7}+\frac{81}{14}\)

Make both denominators equal by multiplying by 2 both parts of the first fraction:

\(\displaystyle \frac{59}{7}+\frac{81}{14}=\frac{118}{14}+\frac{81}{14}\)

\(\displaystyle =\frac{118+81}{14}=\frac{199}{14}\)

Now multiply by 7/9:

\(\displaystyle \frac{199}{14}*\frac{7}{9}=\frac{199}{18}\)

Answer:

c  

Step-by-step explanation:

Answer:

the correct choice is B

Step-by-step explanation:

Answer:

Step-by-step explanation:

0

Answer:

8.

Step-by-step explanation:

The slope =

difference in y coordinates of 2 points / difference in coordinates of corresponding x coordinates.

So taking the first 2 points:

The slope =  (18-10) / 0 - (-1)

= 8/1

= 8.

This is confirmed by slope between the second and third points

slope = 26-18/ (1-0) = 8.

Answer:

The price of 2 gallons of milk will be $3.85 in the next 3 years.

Step-by-step explanation:

So, first, we take the 54% and convert it into 0.54.

Then, we set up this equation: 0.54 x $2.50 = $1.35

Now, $1.35 isn't the answer.

To find the answer, we simply add the $2.50 and the $1.35 to get:

$3.85.

The price of 2 gallons of milk will be $3.85 in the next 3 years.

Answer:

I haven't learn this yet but you can maybe ask desmos that app is helpful maybe it can help with your question.

Answer:

\(\frac{1}{225}\)

Step-by-step explanation:

\((5 \cdot (-3))^{-2} = (-15)^{-2} = \frac{1}{(-15)^{2}} = \frac{1}{225}\)

Answer:  Here is the answer

Answer:

3 batches

Step-by-step explanation:

im assuming all the cookies make up a cup of flour? so if one small batch is 1/3 then that means there's two more.

Expanding and simplifying the expression gives:

(3x - 2)² = 9x² - 12x + 4

Here we want to expand and simplify the expression below:

(3x - 2)²

First let's expand that, we can rewrite this as:

(3x - 2)² = (3x - 2)*(3x - 2)

We can distribute that product to get:

(3x - 2)*(3x - 2) = (3x)*(3x) + (3x)*(-2) + (-2)*(3x) + (-2)*(-2)

Now we can keep simplifying this to get:

(3x)*(3x) + (3x)*(-2) + (-2)*(3x) + (-2)*(-2) = 9x² - 6x - 6x + 4

9x² - 6x - 6x + 4 = 9x² - 12x + 4

The simplified expression is:

9x² - 12x + 4

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Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

The monthly cell phone bill when shared data equals zero is given as follows:

$26.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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Answer:

x=y+16

Step-by-step explanation:

x-16=y

 +16. +16

 X=y+16

This is the most we can simplify for x

Hopes this helps please mark brainliest

Answer:

12x-15 dollars

Step-by-step explanation:

She worked for x hours, and earned $12 for every hour. This would be 12x. Then, she got charged $15 dollars, so -15. It would then be 12x-15 dollars.

As x tends to negative one from the left, the value of f(x) tends to positive infinity. As x → -1⁻, f(x) → ∞.

In Mathematics and Geometry, the vertical asymptote of a function simply refers to the value of x (x-value) which makes its denominator equal to zero (0).

By critically observing the graph of this rational function f(x) shown below, we can logically deduce that its vertical asymptote is at x = -1 and x = 2, and its horizontal asymptote is at y = 3.

In this context, we can logically deduce that the value of f(x) tends towards positive infinity, as x tends to negative one from the left;

As x → -1⁻, f(x) → ∞.

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Answer:

4.2.1)  R140 000

4.2.2)  R144 758.28

4.2.3)  Option 2

Step-by-step explanation:

To calculate the return on Ayanda's investment using Option 1, we can use the simple interest formula.

\(\boxed{\begin{minipage}{7 cm}\underline{Simple Interest Formula}\\\\$ I =Prt$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)

Given values:

Substitute the given values into the formula and solve for I:

\(I=200000 \cdot 0.12 \cdot 6\)

\(I=24000 \cdot 6\)

\(I=144000\)

Therefore, the return on Ayanda's investment using Option 1 is R144000.

\(\hrulefill\)

To calculate the return on Ayanda's investment using Option 2, we can use the compound interest formula.

\(\boxed{\begin{minipage}{7 cm}\underline{Annual Compound Interest Formula}\\\\$ I=P\left(1+r\right)^{t}-P$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)

Given values:

Substitute the given values into the formula and solve for I:

\(I=200000(1+0.095)^6-200000\)

\(I=200000(1.095)^6-200000\)

\(I=200000(1.72379142...)-200000\)

\(I=344758.28426...-200000\)

\(I=144758.28426...\)

\(I=144758.28\)

Therefore, the return on Ayanda's investment using Option 2 is R144758.28.

\(\hrulefill\)

Comparing the returns from both options, we find that Option 1 offers a return of R144000, while Option 2 offers a return of R144758.28. As R144758.28 > R144000, then Option 2 will render the most money for Ayanda's investment.

Answer:

x=15°

Step-by-step explanation:

5x-12°+95°+x+7°=180°

6x+90°=180°

6x=90°

x=15°

Answer:

b. 0.25

c. 0.05

d. 0.05

e. 0.25

Step-by-step explanation:

if the waiting time x follows a uniformly distribution from zero to 20, the probability that a passenger waits exactly x minutes P(x) can be calculated as:

\(P(x)=\frac{1}{b-a}=\frac{1}{20-0} =0.05\)

Where a and b are the limits of the distribution and x is a value between a and b. Additionally the probability that a passenger waits x minutes or less P(X<x) is equal to:

\(P(X<x)=\frac{x-a}{b-a}=\frac{x-0}{20-0}=\frac{x}{20}\)

Then, the probability that a randomly selected passenger will wait:

b. Between 5 and 10 minutes.

\(P(5<x<10) = P(x<10) - P(x<5)\\P(5<x<10) = \frac{10}{20} -\frac{5}{20}=0.25\)

c. Exactly 7.5922 minutes

\(P(7.5922)=0.05\)

d. Exactly 5 minutes

\(P(5)=0.05\)

e. Between 15 and 25 minutes, taking into account that 25 is bigger than 20, the probability that a passenger will wait between 15 and 25 minutes is equal to the probability that a passenger will wait between 15 and 20 minutes. So:

\(P(15<x<25)=P(15<x<20) \\P(15<x<20)=P(x<20) - P(x<15)\\P(15<x<20) = \frac{20}{20} -\frac{15}{20}=0.25\)