Sally spends $1.50 on a soft drink and $3.60 on a regular hamburger and french fries how much money does she have left on my allowance of $15?

Answers :
$15
$9.90
$5.10
$5.50

Answer:

x = -1, y= -5

Step-by-step explanation:

y=-x-6

y=x-4

Since both equations are equal to y we can set them equal to each other

-x-6 = x-4

Add x to each side

-x-6+x = x-4+x

-6 = 2x-4

Add 4 to each side

-6+4 = 2x-4+4

-2 =2x

Divide by 2

-2/2 = 2x/2

-1 = x

now find y

y = x-4

y = -1-4

y = -5

To determine the equation that best describe the data in the table, let us substitute the value of x given on the table into each equation and check for the equation that gives us the corresponding values of y;

for x = -2, y=-4; substituting x= -2 into each equation, we have;

From the first substitution, only equation a and c gave us the corresponding value of y.

Secondly, let's substitute another value of x into the two right right equaabove to confirm the best;

At x=1, y= -7; substituting x=1 into equation a and c we have;

From the above only equation c gave us the corresponding value of y at x=1.

Since only equation c gave us the corresponding values of y for both substituttions. The equation that best describe the data on the table is equation cequatio

Step-by-step explanation:

A parenthesis is used when the number next to it is NOT part of the solution set

   like :   all numbers up to but not including 3 .    

  Parens are always next to  infinity  when it is part of the solution set .

  A bracket is used when the number next to it is included in the solution set.

The volume of the solid obtained by rotating the region bounded by the curves x = 3 + (y − 7)² and x = 12 about the x-axis is 504π cubic units.

To find the volume of the solid obtained by rotating the region bounded by the curves x = 3 + (y - 7)² and x = 12 about the x-axis, we can use the method of cylindrical shells. This method involves integrating the circumference of each cylindrical shell and summing up all the shells to find the total volume.

Let's set up the integral for calculating the volume:

V = ∫[a,b] 2πy * h(y) dy

Where [a, b] is the interval of y-values that defines the region, 2πy is the circumference of each cylindrical shell, and h(y) is the height or the difference in x-values for each y.

First, let's find the interval of y-values. The curves x = 3 + (y - 7)² and x = 12 intersect at two points. We need to find those points of intersection.

Setting the two equations equal to each other:

3 + (y - 7)² = 12

(y - 7)² = 9

Taking the square root of both sides:

y - 7 = ±3

y = 7 ± 3

So we have two y-values: y = 4 and y = 10.

Therefore, the interval of y-values is [4, 10].

Next, let's find the height, h(y), for each y-value. The height is the difference in x-values between the curves.

h(y) = (12 - (3 + (y - 7)²))

Simplifying:

h(y) = 12 - 3 - (y - 7)²

h(y) = 9 - (y - 7)²

Now we have all the components needed to set up the integral:

V = ∫[4,10] 2πy * (9 - (y - 7)²) dy

= ∫[4,10] 2πy * (9 - (y² + 49 -14y)²) dy

= 2π ∫[4,10] y * (9 - y² - 49 + 14y) dy

= 2π ∫[4,10] y * (14y - y² - 40) dy

= 2π ∫[4,10] (14y² - y³ - 40y) dy

= 2π [14y³/3 - y⁴/4 - 40y²/2]₄¹⁰

= 2π [14(10)³/3 - (10)⁴/4 - 20(10)² - 14(4)³/3 + (4)⁴/4 + 20(4)²]

= 2π [252]

= 504π

Therefore, the volume of the solid obtained by rotating the region bounded by the curves x = 3 + (y − 7)² and x = 12 about the x-axis is 504π cubic units.

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If we simplify the fraction we will see that the slope is equal in the two segments of the line.

A linear equation is written as:

y = m*x + b

Where m is the slope and b is the y-intercept, both of these are constants.

In this case the student found the slope on one part to be 4, and on other part to be 8/2.

But if you solve that second quotient:

8/2 = 4

The slope is still 4, so in both segments the slope is the same, which means that the slope is equal at different parts of the line.

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10 workers - 4 days

8 workers - x days

\(10\cdot4=8x\\8x=40\\x=5\)

5 days.

It will take approximately 1.59 hours to fill the hot tub with a hose that has a filling rate of 4.6 gallons per minute

Assuming that the filling rate of the hose is constant, we can use the formula:

time = volume / rate

where time is the time taken to fill the hot tub, volume is the volume of the hot tub (440 gallons), and rate is the filling rate of the hose (4.6 gallons per minute).

Substituting the values, we get:

time = 440 / 4.6

which simplifies to:

time = 95.65 minutes

To convert minutes to hours, we divide by 60 (since there are 60 minutes in an hour):

time = 95.65 / 60

which simplifies to:

time = 1.59 hours

Therefore, it will take approximately 1.59 hours to fill the hot tub with a hose that has a filling rate of 4.6 gallons per minute.

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It will take approximately 1.594 hours to fill a 440-gallon hot tub with a hose that fills at a rate of 4.6 gallons per minute.

To determine how many hours follow these steps:

First, we need to find out how many minutes it takes to fill the hot tub.

Divide the total volume of the hot tub (440 gallons) by the rate at which the hose fills (4.6 gallons per minute):

440 gallons ÷ 4.6 gallons/minute = 95.65 minutes

Now, we need to convert the minutes into hours.

Since there are 60 minutes in an hour, divide the minutes by 60:

95.65 minutes ÷ 60 minutes/hour = 1.594 hours

It will take approximately 1.594 hours to fill a 440-gallon hot tub with a hose that fills at a rate of 4.6 gallons per minute.

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The equation of the linear function p that has p(-11)=-7 and is perpendicular to g(w)=61​w+10 is y = (-1/61)x - 678/61.

To find the equation of the linear function p that is perpendicular to g(w)=61​w+10, we need to determine its slope first. The slope of g(w) is 61/1, which means the slope of p will be -1/61 (negative reciprocal).

Now, we can use the point-slope form of a linear equation to find the equation of p. We know that p(-11) = -7, so we can substitute these values into the equation:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the given point.

Substituting in our values, we get:

y - (-7) = (-1/61)(x - (-11))

Simplifying this equation, we get:

y + 7 = (-1/61)x - 11/61

Subtracting 7 from both sides, we get:

y = (-1/61)x - 678/61

Thus, y = (-1/6)x - 678/61.

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Answer: 1/6.

Step-by-step explanation:

3/18 is just 1/6 because you have to divide the numerator and denominator by 3.

Answer:

he would have to use all of it and then $16 more to make both plans cost the same. I think he should go with US Cellular

Step-by-step explanation:

just because

Answer:

146

Step-by-step explanation:

The circle that has the larger circumference is circle B. The difference in the circumference is  9.42 cm.

A circle is a bounded object in which points from the center is equidistant to the circumference. The circumference of a circle is the perimeter of the circle. The diameter of a circle is a straight line that touches two opposite points on the circumference of a circle and also passes through the center. Radius is half the diameter of a circle.

The circumference of a circle = 2πr

Where:

Circumference of Circle A = 22/7 x 2 x (9/2) = 28.29 cm

Circumference of Circle B = 22/7 x 2 x 6 = 37.71 cm

Difference in circumference = 37.71 - 28.29 = 9.42 cm

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Answer:

144620453 cubic yards

Step-by-step explanation:

the side lengths of the cube are 524.9

the equation for the volume of a cube is the side length to the third power

so V=s^3

then plug in the number

V=524.9^3 plug into a calculator to get 144620453.2 then round to the nearest cubic yard so the answer is 144620453 cubic yards

Hope this helps! :)

The interval on which f(x) is decreasing is (0, infinity).

To determine on what interval f(x) is decreasing, we need to look at the graph of the function or calculate the derivative of the function.

First, let's look at the graph of the function. If the graph of the function is going downward from left to right, then the function is decreasing on that interval.

Alternatively, we can calculate the derivative of the function f'(x) and determine where it is negative. If f'(x) < 0, then the function is decreasing on that interval.

So, the interval on which f(x) is decreasing is where the graph of the function is going downward from left to right or where f'(x) < 0.

For example, if f(x) = -x^2 + 4, the derivative of the function is f'(x) = -2x. To find where f'(x) < 0, we can set -2x < 0 and solve for x. This gives us x > 0. So, the function is decreasing on the interval (0, infinity).

Therefore, the interval on which f(x) is decreasing is (0, infinity).

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Answer:

use the formula: mEq = (mg x valence) / atomic or molecular weight

Step-by-step explanation:

Answer:

here's the answer to your question

Answer: √18

√(4-1)^2 + (5-2)^2

√9 + 9

√18

Answered by Gauthmath must click thanks and mark brainliest

Answer:

The answer is 7

Step-by-step explanation:

7-(-19)=26

26-18=8

8+(-19)=(-11)

-11+18=7

An equation which is made true by the opposite angles theorem include the following: D. 3y − 15 = 85 + y.

In Mathematics, a parallelogram simply refers to a four-sided geometrical figure (shape) and it can be defined as a type of quadrilateral and two-dimensional geometrical figure that is composed of two (2) equal and parallel opposite sides.

According to the opposite angles theorem, the opposite angles of a parallelogram are always congruent or equal and as such, we have the following:

(3y − 15)° = (85 + y)°

Next, we would determine the value of y as follows;

(3y − 15)° = (85 + y)°

3y - y = 85 + 15

2y = 100

y = 100/2

y = 50.

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Answer:

Step-by-step explanation:

the answer is [3y-15=85+y]

Answer:

Step-by-step explanation:

4*12  + 4[1/2(6*4)] =96 \(ft^{2}\)

a) The software output provides a 95% confidence interval of 29.202 to 31.844 weeks for the average age at which babies begin to crawl.

b) The margin of error for this interval is 2.642 weeks.

c) If the researcher had calculated a 90% confidence interval, the margin of error would likely be smaller as a narrower interval is required to capture a smaller confidence level.

a) The software output presents a 95% confidence interval , which means that if we were to take repeated samples from the population and construct confidence intervals in the same way, approximately 95% of those intervals would contain the true population mean age at which babies begin to crawl. The interval 29.202 < μ(age) < 31.844 suggests that the true population mean age lies somewhere within this range.

b) The margin of error for this interval can be calculated by subtracting the lower bound from the upper bound. In this case, the margin of error is 31.844 - 29.202 = 2.642 weeks. This represents the range within which the estimated population mean is likely to vary.

c) If the researcher had calculated a 90% confidence interval instead of a 95% confidence interval, the margin of error would likely be smaller. This is because a narrower interval is needed to capture a smaller confidence level. A 90% confidence interval allows for a higher degree of precision but sacrifices some level of certainty compared to a 95% confidence interval. As a result, the margin of error would be smaller for a 90% confidence interval.

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In summary, for the sum of ax^2 + b and mx^2 + nx to be linear, either both x^2 terms should be zero or equal, or both x terms should be zero or equal.

For the sum of ax^2 + b and mx^2 + nx to be linear, the conditions on the integer coefficients a, b, m, and n are:

The coefficients of x^2 terms (a and m) must be zero or equal to each other.

If a = 0 and m = 0, both terms become constant terms (b and n), resulting in a linear expression.

If a = m, the x^2 terms cancel out, leaving only the linear term.

The coefficients of the x terms (b and n) must be zero or equal to each other.

If b = 0 and n = 0, both terms become x^2 terms (ax^2 and mx^2), resulting in a quadratic expression.

If b = n, the x terms cancel out, leaving only the x^2 terms.

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We operate as follows:

**First problem:

*We divide the total number of messes by the value of the sum of the ratio.

391 / (14 + 9) = 17

After that, we multiply this value times the ration for the Gooey messes and we will obtain the number of Gooey messes present in the 391 messes:

17 * 14 = 238

So, we can expect 238 Gooey messes.

**Second problem:

*We have 174 purple yogi berries; we will have to calculate the number of berries that represent the 76% if we want to know how many are not purple. We also have the following ration 24:76 here there are 24 purple yogi berries to 76, not purple yogi berries, now we calculate:

So, we would expect 551, not purple yogi berries.

Answer:

N+1

Step-by-step explanation:

It begins with = 2

then n+1=3

then n+2=4 and so on it is n+1

Answer:

150

Step-by-step explanation:

85+65=150. The angles of a triangle add to 180, so the third interior angle is 30. The interior and exterior angles add up to 180, so the exterior angle is 150.

Answer:

150

Step-by-step explanation:

\(180 - 85 - 65 = 30\)

\(180 - 30 = 150\)

Answer:

-9

Step-by-step explanation:

use an equation to solve this

consecutive means in succession, one after the other

since they're odd, both numbers have to be odd

let x be the first number

x+x+2=-20

+2 because if you only +1, one of the numbers would be even

2x+2=-20

-2. -2

2x=-22

x=-11

the smaller would be -9 since we are adding x and x+2 together

Answer:

see below

Step-by-step explanation:

we know that

\(\angle 1 =\angle 2\)

and that

\(\angle 1 +\angle 2 = 180\)

so we substitute angle 2 by angle 1

\(\angle 1 +\angle 1 = 180\\\\2\angle 1=180\\\\\angle 1 = 90\)

so there we have it

\(\angle 1 = 90 =\angle 2\)

Answer:

The ratio of girls to total students is 12:30, which can be simplified to 2:5.

Step-by-step explanation:

You can express the ratio in different ways by using the same numbers, for example, you could say that for every 2 girls, there are 5 total students, or that for every 5 total students, 2 of them are girls.

Given that the correlation between two variables is r=0.23. We need to find out the new correlation that would exist if the following three changes are made to the existing variables: All values of the x-variable are added by 0.14. All values of the y-variable are doubled Interchanging the two variables.  the correct option is B. 0.37.

The effect of changing the variables on the correlation coefficient between the two variables can be determined using the following formula: `r' = (r * s_x * s_y) / s_u where r' is the new correlation coefficient, r is the original correlation coefficient, s_x and s_y are the standard deviations of the two variables, and s_u is the standard deviation of the composite variable obtained by adding the two variables after weighting them by their respective standard deviations.

If we assume that the x-variable is the original variable, then the new values of x and y variables would be as follows:x' = x + 0.14 (since all values of the x-variable are added by 0.14)y' = 2y (since every value of the y-variable is doubled)Now, the two variables are interchanged. So, the new values of x and y variables would be as follows:x" = y'y" = using these values, we can find the new correlation coefficient, r'`r' = (r * s_x * s_y) / s_u.

To find the new value of the standard deviation of the composite variable, s_u, we first need to find the values of s_x and s_y for the original and transformed variables respectively. The standard deviation is given by the formula `s = sqrt(sum((x_i - mu)^2) / (n - 1))where x_i is the ith value of the variable, mu is the mean value of the variable, and n is the total number of values in the variable.

For the original variables, we have:r = 0.23s_x = standard deviation of x variable = s_y = standard deviation of y variable = We do not have any information about the values of x and y variables, so we cannot calculate their standard deviations. For the transformed variables, we have:x' = x + 0.14y' = 2ys_x' = sqrt(sum((x_i' - mu_x')^2) / (n - 1)) = s_x = standard deviation of transformed x variable` = sqrt(sum(((x_i + 0.14) - mu_x')^2) / (n - 1)) = s_x'y' = 2ys_y' = sqrt(sum((y_i' - mu_y')^2) / (n - 1)) = 2s_y = standard deviation of transformed y variable` = sqrt(sum((2y_i - mu_y')^2) / (n - 1)) = 2s_yNow, we can substitute all the values in the formula for the new correlation coefficient and simplify:

r' = (r * s_x * s_y) / s_ur' = (0.23 * s_x' * s_y') / sqrt(s_x'^2 + s_y'^2)r' = (0.23 * s_x * 2s_y) / sqrt((s_x^2 + 2 * 0.14 * s_x + 0.14^2) + (4 * s_y^2))r' = (0.46 * s_x * s_y) / sqrt(s_x^2 + 0.0396 + 4 * s_y^2)Now, we can substitute the value of s_x = s_y = in the above formula:r' = (0.46 * * ) / sqrt( + 0.0396 + 4 * )r' = (0.46 * ) / sqrt( + 0.1584 + )r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = r' = Therefore, the new correlation coefficient, r', would be approximately equal to.

Hence, the correct option is B. 0.37.

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