Subtracting 3 from the product of 4 and a number results in the number added to 24.

Answer:

£6.25

Step-by-step explanation:

2.25 x 15 = 33.75

40 - 33.75 = 6.25

Answer:

£6.25

Step-by-step explanation:

Hii,

So if each lesson is 2.25, you times this by 15 to get the total amount of payment. £2.25 x 15 = 33.75

To get change, you need to take away the amount you are giving by how much the bill is.

£40 - £33.75 = £6.25

I hope this helped :P

Answer:

0

Step-by-step explanation:

3(r+300)=6

Divide each side by 3

3/3(r+300)=6/3

(r+300)=2

Now we want to find

r+300-2

2 -2

0

Answer:

596

Step-by-step explanation:

3(r+300)=6

3r+900=6

3r=-894

r=298

298+300-2

598-2

596

Answer: Okay! Let's simplify step-by-step.

f(7)−f(−4)

=7f+4f

Combine Like Terms:

=7f+4f

=(7f+4f)

=11f

Step-by-step explanation:i hope this helped in any way :D best of luck!

7 packs will cost 1393

Step-by-step explanation:

one pack cost 199.now 199 × 7 =1393

Answer:

answer is 3.5 dollar

dividing 7 ÷ 2 = 3.5 dollar

as we have to take 50 percent

The ordered pair that corresponds to the point labeled A in the coordinate plane is (2, 4)

from the question, we have the following parameters that can be used in our computation:

The coordinate plane

On the coordinate plane, we have

A = (2, 4)

This means that the ordered pair is (2, 4)

Read more about coordinate plane at

https://brainly.com/question/20893489

#SPJ1

Answer:

100x20%=20

So 100+20=120

OR

100x120%=120

A. P(6, then 1) = 1/90

B. P(even, then 5) = 1/18

C. P(8, then odd) = 1/18

D. P(3, then prime) = 2/45

E. P(prime, composite) = 4/15

F. P(even, then 3, then 5) = 1/144

Given:

Total number of cards: 10

A. P(6, then 1):

P(6, then 1) = 1/10 x 1/9

= 1/90

B. P(even, then 5):

Number of favorable outcomes: 5 x 1 = 5

P(even, then 5) = 5/10 x 1/9

= 1/18

C. P(8, then odd):

Number of favorable outcomes: 1 x 5 = 5

P(8, then odd) = 1/10 x 5/9

= 1/18

D. P(3, then prime):

Number of favorable outcomes: 1 x 4 = 4

P(3, then prime) = 1/10 x 4/9

= 2/45

E. P(prime, composite):

Number of favorable outcomes: 4 x 6 = 24

P(prime, composite) = 4/10 x 6/9

= 4/15

F. P(even, then 3, then 5):

Number of favorable outcomes: 5 x 1 x 1 = 5

P(even, then 3, then 5) = 5/10 x 1/9 x 1/8

= 1/144

Learn more about Probability here:

brainly.com/question/32117953

#SPJ1

For the given equation -2(5x + 8) = 14 + 6x, the statements for the process used to achieve steps 1 - 4 should be completed as follows:

In Mathematics, an equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.

In this exercise, you're required to describe the steps that should be taken to rearrange and solve for x. Therefore, the appropriate and required steps that were used to achieve steps 1 - 4 include the following:

Multiplying 5x and 8 by -2, we have the following:

-2(5x + 8) = 14 + 6x

-10x - 16 = 14 + 6x

Subtracting 6x from both sides of the equation, we have the following:

-10x - 16 - 6x = 14 + 6x - 6x

-16x - 16 = 14

Next, we would add sixteen (16) to both sides of the equation as follows:

-16x - 16 + 16 = 14 + 16

-16x = 30

Dividing both sides of the equation by -16, we have the following:

x = -30/16

x = -15/8.

Read more on equation here: brainly.com/question/18912929

#SPJ1

Answer:

Step-by-step explanation:

We can solve this using a ratio. If there a 2 bottles of cherry in the ratio and there are 34 actual bottles of cherry, then the ratio is

\(\frac{ratio}{actual}:\frac{2}{34}\)

In the ratio, we are told that the mix of bottles is 7 parts mango and we want to know how many actual bottles there are of mango. So filling in:

\(\frac{ratio}{actual} =\frac{2}{34} =\frac{7}{m}\) and cross multiply to get

2m = 238 and

m = 119. There are 119 bottles of mango juice. And just for the record, there are 17 bottles of fruit juice.

Answer:

m = 119. There are 119 bottles of mango juice. there are 17 bottles of fruit juice.

Answer:

1. 8t

2. 510 + 6t

3. 510 - 2t

Step-by-step explanation:

1. Since the hare moves at a speed of 8 metres per second, the distance it moves from the starting line is d = speed × time = 8t

2. Since the rabbit moves at a speed of 6 metres per second, and gets a head start of 510 metres, the distance it moves from the starting line is d = 510 m + speed × time = 510 + 6t

3. The distance the tortoise is ahead of the hare is thus, distance moved by rabbit - distance moved by hare in time, t.

d' = 510 + 6t - 8t

= 510 - 2t  

Answer:

Step-by-step explanation:

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

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

y - 3 = -1/2x + 3/2

y - 6/2 = -1/2x + 3/2

y = -1/2x + 9/2

If for every amount of $d , $0.20d is tipped, then for amount of $56, $11.6 will be tipped to the waiter

A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. This is not a ratio of two like units, such as shirts. This is a ratio of two unlike units: cents and ounces.

If for every $d , $0.20d is tipped, then this means that the total amount spent is $56 and the amount Anthony's family tip the waiter is calculated as:

0.2 × 56

= $11.6

Therefore the waiter was tipped $11.6

learn more about rate from

https://brainly.com/question/25793394

#SPJ1

Answer:

A dinner bill of d dollars calls for a tip of 0.20d dollars. You want to find how much the family tipped the waiter for a bill of d=$56.

Evaluate the expression 0.20d for d=56.

0.20d

=

0.20(56)

=

11.2

The family tipped the waiter $11.20.

The slope for the following question is = 4.

acc to our question-

hence the value of slope=4

learn more about slope click here:

https://brainly.com/question/3493733

#SPJ1

Answer:

6.72

Step-by-step explanation:

The equation of the line that goes through the points (4, 6) and (2, 12) is y= -3x+18.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

The given coordinate points are (4,6) and (2,12).

Here, m =(12-6)/(2-4)

= 6/(-2)

= -3

Put m=-3 and (x, y)=(4, 6) in y=mx+c, we get

6=-3(4)+c

6=-12+c

c=18

Put m=-3 and c=18 in y=mx+c, we get

y= -3x+18

Therefore, the equation of the line that goes through the points (4, 6) and (2, 12) is y= -3x+18.

To learn more about the equation of a line visit:

https://brainly.com/question/2564656.

#SPJ6

a) The solution of this ordinary differential equation is \(y =\sqrt[3]{-\frac{2}{\frac{3\cdot t}{8}-\frac{\sin 2t}{4}+\frac{\sin 4t}{32}-2 } }\).

b) The integrating factor for the ordinary differential equation is \(-\frac{1}{x}\).

The particular solution of the ordinary differential equation is \(y = \frac{x^{3}}{2}+x^{2}-\frac{5}{2}\).

a) In this case we need to separate each variable (\(y, t\)) in each side of the identity:

\(6\cdot \frac{dy}{dt} = y^{4}\cdot \sin^{4} t\) (1)

\(6\int {\frac{dy}{y^{4}} } = \int {\sin^{4}t} \, dt + C\)

Where \(C\) is the integration constant.

By table of integrals we find the solution for each integral:

\(-\frac{2}{y^{3}} = \frac{3\cdot t}{8}-\frac{\sin 2t}{4}+\frac{\sin 4t}{32} + C\)

If we know that \(x = 0\) and \(y = 1\), then the integration constant is \(C = -2\).

The solution of this ordinary differential equation is \(y =\sqrt[3]{-\frac{2}{\frac{3\cdot t}{8}-\frac{\sin 2t}{4}+\frac{\sin 4t}{32}-2 } }\). \(\blacksquare\)

b) In this case we need to solve a first order ordinary differential equation of the following form:

\(\frac{dy}{dx} + p(x) \cdot y = q(x)\) (2)

Where:

Hence, the ordinary differential equation is equivalent to this form:

\(\frac{dy}{dx} -\frac{1}{x}\cdot y = x^{2}+\frac{1}{x}\) (3)

The integrating factor for the ordinary differential equation is \(-\frac{1}{x}\). \(\blacksquare\)

The solution for (2) is presented below:

\(y = e^{-\int {p(x)} \, dx }\cdot \int {e^{\int {p(x)} \, dx }}\cdot q(x) \, dx + C\) (4)

Where \(C\) is the integration constant.

If we know that \(p(x) = -\frac{1}{x}\) and \(q(x) = x^{2} + \frac{1}{x}\), then the solution of the ordinary differential equation is:

\(y = x \int {x^{-1}\cdot \left(x^{2}+\frac{1}{x} \right)} \, dx + C\)

\(y = x\int {x} \, dx + x\int\, dx + C\)

\(y = \frac{x^{3}}{2}+x^{2}+C\)

If we know that \(x = 1\) and \(y = -1\), then the particular solution is:

\(y = \frac{x^{3}}{2}+x^{2}-\frac{5}{2}\)

The particular solution of the ordinary differential equation is \(y = \frac{x^{3}}{2}+x^{2}-\frac{5}{2}\). \(\blacksquare\)

To learn more on ordinary differential equations, we kindly invite to check this verified question: https://brainly.com/question/25731911

Heather's account balance will be approximately $4,179.60 after 9 years if the interest is compounded 4 times each year.

Interest is the cost of borrowing money or the compensation received for lending money. It is usually expressed as a percentage of the amount borrowed or lent, and it is calculated based on the principal (the initial amount borrowed or lent), the interest rate, and the time period for which the money is borrowed or lent.

Compounding refers to the process of earning interest on both the principal amount and the accumulated interest earned over time. In other words, it is the interest earned on interest.When interest is compounded, the interest earned in each compounding period is added to the principal amount, and the new total becomes the basis for calculating interest in the next period.

In the given question,

We can use the formula for compound interest to find Heather's account balance after 9 years:

A = P * (1 + r/n)^(n*t)

where A is the account balance, P is the principal (initial investment), r is the interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the number of years.

Plugging in the given values, we get:

A = 2975 * (1 + 0.035/4)⁴ˣ⁹

Simplifying this expression, we get:

A = 2975 * (1.00875)³⁶

Using a calculator or a computer, we can evaluate this expression to get:

A ≈ $4,179.60

Therefore, Heather's account balance will be approximately $4,179.60 after 9 years if the interest is compounded 4 times each year.

To know more about compound interest, visit:

https://brainly.com/question/14295570

#SPJ1

Answer:

-----------------------------

Given function:

Graph it first (see attached).

Test the graph for symmetry.

We know the odd degree parent function y = x³ has an origin symmetry, whilst even degree functions may have axis symmetry.

The given function is a translation of cubic function 5 units up so the center of symmetry has translated as well. Therefore correct answer is 4.

Answer:

4. no origin symmetry

Step-by-step explanation:

Functions are symmetric with respect to the x-axis if for every point (a, b) on the graph, there is also a point (a, −b) on the graph:

To determine if a graph is symmetric with respect to the x-axis, replace all the y's with (−y).  If the resultant expression is equivalent to the original expression, the graph is symmetric with respect to the x-axis.

\(\begin{aligned}&\textsf{Given}: \quad &y &= x^3 + 5\\&\textsf{Replace $y$ for $(-y)$}: \quad &-y &= x^3 + 5\\&\textsf{Simplify}: \quad &y &= -x^3 - 5\end{aligned}\)

Therefore, since the resultant expression is not equivalent to the original expression, it is not symmetric with respect to the x-axis.

--------------------------------------------------------------------------------------------------

Functions are symmetric with respect to the y-axis if for every point (a, b) on the graph, there is also a point (-a, b) on the graph:

To determine if a graph is symmetric with respect to the x-axis, replace all the x's with (−x).  If the resultant expression is equivalent to the original expression, the graph is symmetric with respect to the y-axis.

\(\begin{aligned}&\textsf{Given}: \quad &y&=x^3+5\\&\textsf{Replace $x$ for $(-x)$}: \quad &y&=(-x)^3+5\\&\textsf{Simplify}: \quad &y&=-x^3+5\end{aligned}\)

Therefore, since the resultant expression is not equivalent to the original expression, it is not symmetric with respect to the y-axis.

--------------------------------------------------------------------------------------------------

Functions are symmetric with respect to the origin if for every point (a, b) on the graph, there is also a point (-a, -b) on the graph:

To determine if a graph is symmetric with respect to the origin, replace all the x's with (−x) and all the y's with (-y).  If the resultant expression is equivalent to the original expression, the graph is symmetric with respect to the origin.

\(\begin{aligned}&\textsf{Given}: \quad &y&=x^3+5\\&\textsf{Replace $x$ for $(-x)$ and $y$ for $(-y)$}: \quad &(-y)&=(-x)^3+5\\&\textsf{Simplify}: \quad &-y&=-x^3+5\\&&y&=x^3-5\end{aligned}\)

Therefore, since the resultant expression is not equivalent to the original expression, it is not symmetric with respect to the origin.

Answer:

plz help me too

Step-by-step explanation:

Answer:

The answer world be 3.

Step-by-step explanation:

5 + 2² - 3(2) = 3

Answer:

3

Step-by-step explanation:

f + \(g^{2}\) - 3g

= 5 + \(2^{2}\) - 3 * 2

= 5 + 4 - 3 * 2

= 5 + 4 - 6

= 9 - 6

= 3

Answer:

6.09+3.84=9.93 is the desired answer

Step-by-step explanation:

Cashews total cost step by step

1.74×3.5

Multiply 1.74 and 3.5 to get 6.09.

6.09

Peanuts total cost step by step

1.92×2

Multiply 1.92 and 2 to get 3.84.

3.84

The given scenario, where a sample of teen drivers at a high school is surveyed about their engagement in the illegal activity of texting while driving, is an example of Selection bias. Option C

Selection bias occurs when the process of selecting participants for a study or survey is not random or representative of the entire population.

In this case, the sample consists only of teen drivers at a high school, which may not accurately represent all teen drivers in the broader population. The sample is limited to a specific group, which can introduce bias and affect the generalizability of the results to the wider population of teen drivers.

Learn more about Selection bias at https://brainly.com/question/13996199

#SPJ1

Answer:

C.) 109/11

Step-by-step explanation:

because I am on the exam right now

Answer: length of box , l =26 cm , breadth , b =15 cm , height = 20 cm

So,the volume of the box = l × b × h

= 26 × 15 ×20 cm3

= 7800 cm3

Now length of a disc case, l= 1.6 cm

breadth ,b =14.2 cm

height, h =19.3 cm

So the volume of a disc case = 1.6×14.2×19.3 cm3

= 438.496 cm3

No of disc cases can be stacked inside the box

= 7800 ÷ 438.496

=7800000÷438.496

= 17.8

Hence 17 disc cases can be fitted into the box.

Step-by-step explanation:

Answer:

0.000000010

Step-by-step explanation:

y =-5 is the horizontal asymptote

Answer:

This is very unclear however if your miles are 214 and you need 1% of the miles you can multiply it by 0.01 and the answer would be 2.14 miles

True, Building more movie theaters will cause the homicide rate to rise.There is a significant linear correlation.

What does a statistical correlation mean?

A statistical metric known as correlation, which is given as a number, describes the strength and direction of a relationship between two or more variables.

                Although there may be a correlation between two variables, this does not necessarily imply that the change in one variable is what led to the change in the values of the other variable.

Correlation does not always indicate cause. Many factors, such as multi colinearity between movie theaters and the number of killings, which both tend to rise with population, can contribute to a strong connection. In general, there are numerous factors that could account for the parallels between the two.

Learn more about Correlation

brainly.com/question/28898177

#SPJ4