A cruise left port A and traveled towards port B 225 km away. After 1.5 hours of travel, the cruise was stopped for a half an hour and then it had to increase its speed by 10 km/hour in order to reach port B on time. Find the original speed of the cruise.

Answer:

10/3

Step-by-step explanation:

Answer:

no of tomatoes: no of pepper

10:3

Answer:

9

Step-by-step explanation:

Answer:

its 8

Step-by-step explanation:

Answer:

a) 15 is the largest number of groups that can be made.

b) There would 6 sixth grade students and 5 seventh grade students in each group.

Step-by-step explanation:

Number of sixth-grade students = 90

Number of seventh-grade students = 75

a) What is the largest number of groups that could be formed?

Since the music director wants to make groups with the same combination of sixth and seventh grade students in each group,

The greatest common factor (GCF) of the number of sixth and seventh grade students would give us the required combination.

Factor of 90 = 2*45 = 2*3*15 = 2*3*3*5

Factor of 75 = 3*25 = 3*5*5

The greatest common factors are 3 and 5

GCF = 3*5 = 15

Therefore, 15 is the largest number of groups that can be made.

b. If that many groups are formed, how many students of each grade level would be in each group?

Sixth grade = 90/15 = 6

Seventh grade = 75/15 = 5

Therefore, there would 6 sixth grade students and 5 seventh grade students in each group.

1. 15 groups. The greatest common factor of 75 and 90 is 15. 2. 6 sixth-grade students and 5 seventh-grade students

2. 6 sixth-grade students and 5 seventh-grade students ( 6 ⋅ 15 = 90 and

5 ⋅ 15 = 75 )

Answer:

x=1, y=7

Step-by-step explanation:

-5x+2y=9

y=7x

Since you know what y is relative to x, you can plug it into the formula to find your answer.

-5x+2(7x)=9

14x-5x=9

x=1

y=7

Hope this helps!

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

All but the x- and y-intercepts are the same.

We can conclude the following similarities between the sin(x) and cos(x) -

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given are the graphs of the function -

f(x) = sin(x)

g(x) = cos(x)

For the functions sin(x) and cos(x) -

Therefore, we can conclude the following similarities between the sin(x) and cos(x) -

To solve more questions on functions, visit the link below-

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Answer: Todd earned $40 mowing the neighbor's lawn.

Step-by-step explanation:

Let x represent the amount of money that Todd earned, mowing his neighbor's lawn.

He spent one-fourth of his money see a movie. It means that the amount spent in seeing a movie is x/4

Then he spent $6.00 on popcorn and drinks. It means that the total amount spent is

x/4 + 6

The amount left would be

x - (x/4 + 6) = x - x/4 - 6

When he went home, he had $24.00 left. It means that

x - x/4 - 6 = 24

x - x/4 = 24 + 6

x - x/4 = 30

Cross multiplying by 4, it becomes

4x - x = 120

3x = 120

x = 120/3

x = $40

Answer: 40$ got it right on edge :)

Step-by-step explanation:

Answer:

  C)  y = (1/4)^(-x)

Step-by-step explanation:

The average rate of change on an interval [a, b] is found using the formula ...

  arc = (f(b) -f(a))/(b -a)

For an exponential function with base b on interval [2, 3], the rate of change is ...

  arc = (b^3 -b^2)/(3 -2) = b^2(b -1)

This expression assumes a positive sign on the exponent.

We can compute the arc for each answer choice as ...

  (reference) 1/3^-x = 3^x ⇒ arc = 3²(3 -1) = 18

  A) 2^x ⇒ arc = 2²(2 -1) = 4

  B) 5^(x-2) = (1/25)5^x ⇒ arc = (1/25)(5²)(5 -1) = 4

  C) 1/4^-x = 4^x ⇒ arc = 4²(4 -1) = 48

  D) (2/3)^-x = (3/2)^x ⇒ arc = (3/2)²(3/2 -1) = 9/8

An average rate of change greater than 18 is demonstrated by (1/4)^-x.

(These values are the same as in the given matrix)

=======================================================

Explanation:

Row echelon form will have us turn the "3" into a 0. To do this, we multiply everything in row 1 by the value -3

Row 1 is initially: 1, -4, 3

Multiply that row by -3 to get: -3, 12, -9

Then add these values to the values in row 2 and we get:

-3+3 = 0

12+1 = 13

-9+0 = -9

These three sums replace what you see in row 2

This is the new matrix we have now

[tex]\left[\begin{array}{ccc}1 & -4 & 3\\0 & 13 & -9\end{array}\right][/tex]

Again the first row has not changed. Only the second row has been altered.

The next and last step is to turn that 13 into a 1. Recall we want the pivot positions to be 1. Divide everything in row 2 by 13 to get this accomplished.

0---> 0/13 = 0

13 ----> 13/13 = 1

-9 ---> -9/13

we now have

[tex]\left[\begin{array}{ccc}1 & -4 & 3\\0 & 1 & \frac{-9}{13}\end{array}\right][/tex]

We stop here since we don't need to get the matrix into reduced row echelon form (RREF) and instead only need to get it into row echelon form (REF). Throughout this whole process, row 1 has not changed.

Answer:601.2

Step-by-step explanation:

Answer:

I was able to get: y = -(6/3)x + 1

Answer:

A

Step-by-step explanation:

When completing the square, the first thing you want to do is get all of the numbers on one side, and all the x terms on the other.

Answer:

A

Step-by-step explanation:

the first thing you should do while completing the square should be moving your 'c' value to the other side of the equation!

do so by subtracting 8 on both sides,

your new equation should now look like x^2 -6x = -8

that is the first step of completing the square!

i hope this helps!!

you can totally bring your grade in math up!!

i believe in you!

stay safe!

:)

The original price of the game was £18. This is derived by understanding a 1/2 increase equates to a 50% increase, thus making £27 150% of the original price. To get the original price, divide £27 by 1.5.

To solve this problem, you need to understand that an increase of 1/2 equals a 50% increase. If the game price were £27 after increasing by 50%, that means £27 represents the original price plus an additional half (50%) of the original price, in other words, it represents 150% of the original price. We can set up the equation like this:

Original Price(1.5) = £27

To solve for the original price, we divide £27 by 1.5, resulting in £18.

So, the original price of the game was £18.

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Answer:

0.363

Step-by-step explanation:

Number of Black(B) Socks =5

Number of Grey(G) Socks =7

Number of White(W) Socks =13

Total Number of Socks=5+7+13=25

If the two socks are picked one after the other, the total number reduces and the number of that particular color of socks picked also reduces.

To pick the same color, they could either be both black, grey of white.

Therefore:

P(they are of the same color)=P(BB)+P(GG)+P(WW)

[tex]=(\frac{5}{25}X\frac{4}{24})+(\frac{7}{25}X\frac{6}{24})+(\frac{13}{25}X\frac{12}{24})\\=0.363[/tex]

The probability that they are of the same color is 0.363 correct to 3 significant figures.

Answer:

b. 46°

Step-by-step explanation:

In a circle, measure of minor arc is equal to the measure of its corresponding central angle.

[tex] \therefore m\overset{\frown} {BD} = m\angle BAD = 148°\\

\because m\overset{\frown} {BD}= m\overset{\frown} {BC}+ m\overset{\frown} {CD}\\

\therefore 148° = 102° + m\overset{\frown} {CD}\\

\therefore m\overset{\frown} {CD}= 148° - 102°\\

\huge\purple {\boxed {\therefore m\overset{\frown} {CD}= 46°}} \\ [/tex]

Answer: 14y

Step-by-step explanation:

7 times 2 = 14

7 times 5 = 35

14y + 35z - 35z

35 - 35 = 0

You are left with 14y

Answer:

x=10

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

x+5=15

  -5=-5

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

x= 10

Answer:

40

Step-by-step explanation:

Answer: L(t)= 7600 times 5^t/22

Step-by-step explanation:

kahn answer

To model the locust population, we can use an exponential growth function. The initial population is given as 7600, and it increases by a factor of 555 every 222222 days. The function is L(t) = 7600 * 555^(t/222222).

To model the locust population, we can use an exponential growth function. The initial population is given as 7600. The population increases by a factor of 555 every 222222 days. Let's denote the time since the first day of spring as t. The function can be written as:

L(t) = 7600 * 555^(t/222222)

For example, if we want to find the locust population after 1 year (365 days), we can substitute t = 365 into the function:

L(365) = 7600 * 555^(365/222222)

By evaluating this expression, we can determine the locust population at any given time since the first day of spring.

Answer:

(x-10) (x+8)

Step-by-step explanation:

x^2 – 2x – 80.

What two numbers multiply to -80 and add to -2

-10*8 = -80

-10+8 = -2

(x-10) (x+8)

=====================================================

Explanation:

The last term is -80 and the middle coefficient is -2

Find two numbers that

Those two numbers are 8 and -10

which is why the original expression factors to (x+8)(x-10)

We can use the FOIL rule to expand out (x+8)(x-10) to end up with x^2-10x+8x-80 = x^2-2x-80, which confirms we have the correct factorization. You can use the box method as an alternative.

Question:

A. The middle 95% of Jiffy Corn Muffin Mix boxes contain between _____ and ________ounces of cereal

Answer:

Therefore the middle 95% of Jiffy Corn Muffin Mix boxes contain between _9.994____ and _10.0062_______ounces of cereal

Step-by-step explanation:

The question requires us to construct the 95% confidence interval of the normal distribution as follows;

The mean, μ = 10

The sample standard deviation, σ = 0.1

Assumption

Number of boxes, n = 1000

The formula for confidence interval is as follows;

[tex]CI= \mu \pm z\frac{\sigma}{\sqrt{n}}[/tex]

Where, z at 95% confidence level is given as ±1.96

Plugging in the values, we have;

[tex]CI=10 \pm 1.96 \times \frac{0.1}{\sqrt{1000}}[/tex]

Therefore the middle 95% of Jiffy Corn Muffin Mix boxes contain between _9.994____ and _10.0062_______ounces of cereal.

If the experiment is repeated with 50 spins, the prediction for the number of spins that will land on green is 5

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

The table of values

Calculate the total number of spins

So, we have

Total spins = 5  + 3 + 1 + 1

Total spins = 10

We have that

The frequency of landing on green is 1

The experimental probability of landing on green is then represented as

[tex]\[ \text{Probability of green} = \frac{1}{10} \][/tex]

Using the experimental probability to predict the number of spins that will land on green in 50 spins, we have

Predicted number of green spins = [tex]\frac{1}{10} \times 50 = 5[/tex]

So, if the experiment is repeated with 50 spins, the prediction for the number of spins that will land on green is 5

Question

The results of a color spinner experiment are shown in the table. Consider the experimental probability of the spinner landing

on green. If the experiment is repeated with 50 spins, what is the prediction for the number of spins that will land on green?

Result        Frequency

Blue               5

Red                3

Green            1

Yellow            1

Answer:

[tex]9x^2+12x[/tex]

Step-by-step explanation:

Height of the Rectangle =3

Width of the Rectangle =[tex]3x^2+4x[/tex]

Area of a Rectangle = Height X Width

[tex]=3(3x^2+4x)\\=9x^2+12x[/tex]

The area of the rectangle is therefore given by:

[tex]9x^2+12x[/tex]

To find the area of the rectangle, multiply its height by its width. In this case, expand the expression for the width by distributing the terms. Simplify and combine like terms to get the expanded expression for the area: 999x^4 + 36x^3 + 16x.

To find the area of a rectangle, we multiply its length (height) by its width. In this case, the height is given as 333 and the width is given as 3x^2 + 4x3x^2 + 4x3x, x^2 + 4, x. To expand this expression and find the area, we can distribute the numbers/variables inside the parentheses.

We have (3x^2 + 4x3x^2 + 4x3x) * (x^2 + 4x). Distributing the terms inside, we get 3x^2 * x^2 + 3x^2 * 4x + 4x3x^2 * x^2 + 4x3x^2 * 4x + 4x3x * x^2 + 4x3x * 4x. Simplifying further, we have 3x^4 + 12x^3 + 4x^4 + 16x^3 + 4x^3 + 16x.

The area of the rectangle is the product of the height and width, so the expanded expression for the area is (333) * (3x^4 + 12x^3 + 4x^4 + 16x^3 + 4x^3 + 16x). Combining like terms, we have 999x^4 + 36x^3 + 16x. This is the expanded expression for the area of the rectangle.

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Answer:

20 degrees

Step-by-step explanation:

Because lines CB and DA cross in the center of the circle, they are vertical angles and they are equidistant from arcs AB and CD. This means that CD and AB are congruent, and that therefore CD=AB=20 degrees. Hope this helps!

Answer:

Answer:

X=3 and X=6

Step-by-step explanation:

When y is zero

Step-by-step explanation:

Answer:

Its b

Step-by-step explanation:

Answer:

Perimeter

Step-by-step explanation:

Perimeter is the distance all round a particular shape. Since we are not given the shape of her bedroom, we may not have a particular formula that was uses to find the perimeter. Despite all that, the only way that she could arrive to conclusion that 36 meters of light are needed, then Supriya it is by finding the perimeter.

Final answer:

The probability of capturing a green sea turtle considered illegal due to its size is about 45.52%. This is calculated using Z-scores and probabilities from the normal distribution, given the mean turtle size and standard deviation.

Explanation:

In the scenario provided, the probability of capturing a green sea turtle that is considered illegal (outside the 40cm to 60cm size limits) can be determined using normal distribution calculations. Given that the curved carapace length of these turtles is approximately normally distributed with a mean of 55.7 centimeters and a standard deviation of 12 cm, we will calculate the Z-scores for both size limits and then find the corresponding probabilities.

The Z-score formula is: Z = (X - μ)/σ, where X is the value in question, μ is the mean, and σ is the standard deviation. For the minimum size limit (40cm), Z = (40 - 55.7)/12 = -1.308. For the maximum size limit (60cm), Z = (60 - 55.7)/12 = 0.358.

Using standard normal distribution tables or a calculator, we find the probability corresponding to the Z-score of -1.308 and 0.358. The area to the left of Z = -1.308 is approximately 0.0951, and to the left of Z = 0.358 is approximately 0.6399. The probability of catching an illegal turtle is the sum of the probabilities of catching one smaller than 40cm and one larger than 60cm, which is P(X < 40) + P(X > 60) = 0.0951 + (1 - 0.6399) = 0.0951 + 0.3601 = 0.4552, or 45.52%.