sally has 123 books she divided them into 10 groups how many are in each group?

Step-by-step explanation:

y = mx+ b

m is the slope = 5

you can get x,y from point (x,y); x=2, y=1

substitute all information we have to find b

1 = 5(2) + b

1 = 10 + b

1 - 10 = b

-9 = b

the function for line:

y = 5x - 9

Answer:

21 m/ph

Step-by-step explanation:

2016 divided by 96

The balloon travels 21 miles in one hour.

In mathematics, division is one kind of operation. The phrases or numbers in this process are split into the same number of parts.

Given, a hot air balloon travels 2016 miles in 96 hours.

And the balloon travels the same number of miles each hour.

To find the same numbers of miles per hour:

We use the division of 2016 by 96.

That means,

2016 / 96

= 21

Therefore, the travel time of the balloon is 21 miles per hour.

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Answer:

y = -5/2x

Step-by-step explanation:

Perpendicular = opposite sign and reciprocal slope

-5/2x

y = -5/2x

Answer:

first thing, take 3 pairs of equations and in each pair, make any one variable's coefficient equal to the coefficient of the same variable in the other equation and subtract the equations.

you will get 3 different equations:  

x+y = 1

- 4x - 21z = 72

-x + 3z = -10 (simplified)

now take the value of x and y from equation 2 and 3 in terms of z and substitute x and y with those values

y = (72 + 21z)/-4

x = 3z + 10

as x + y = 1

you will get z = -4 after sloving the equation

now you have the value of one of the variables..

now we will substitute z in the equations to get the other variables

x = 3z + 10

x = 3(-4) + 10

x = -12 + 10

x = -2  

Now y:

72+21(-4)/-4

(72 - 84)/-4

-12/-4

y  = 3

so,

z = -4

x = -3

y = 3

I assume that it's brainly enough

Answer:

x= -2, z= -4

Step-by-step explanation:

-3x-2y+4z = -16

10x+10y-5z=30 ⇒ 2x+2y-z=6 ⇒ 14x+14y-7z=42

5x+7y+8z=-21 ⇒ 10x+14y+16z= -42

Add up the first one with the second:

-3x-2y+4z = -16

+

2x+2y-z=6

-------

-x+3z= -10 ⇒ x= 3z+10

Subtract the last one from the second:

14x+14y-7z=42

-

10x+14y+16z= -42

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

Replace x with 3z+10

Answer:

B 292

Step-by-step explanation:

Hello There!

The first thing we want to do is find the formula for surface area of a rectangle

\(SA=2(wl+hl+hw)\)

where w = width h = height and l = length

we are given the dimension:

h = 7

w = 8

l = 6

all we have to do is plug in

\(SA=2(8*7+6*7+6*8)\\8*7=56\\6*7=42\\6*8=48\\48+42+56=146\\146*2=292\\SA=292\)

so we can conclude that the surface area is 292

From the given situation of equation Diamond worked 24 overtime hours that week.

The hourly rate that is paid for the typical hours worked within a pay period is known as regular pay. For full-time employees in the US, this is typically referred to as 40 hours a week. On the other hand, overtime pay is the hourly rate paid for any additional hours worked. Most businesses give time-and-a-half (1.5 times the usual pay rate) or double-time (two times the regular pay rate) for extra hours, which is often more than regular compensation.

Let us suppose the number of hours = x.

Let us suppose the overtime hours = y.

From the given situation we have:

7.5x + 11.25y = 352.5 (equation 1)

x + y = 35 (equation 2)

Substituting equation 2 into equation 1 and simplifying:

7.5x + 11.25(35 - x) = 352.5

7.5x + 393.75 - 11.25x = 352.5

-3.75x = -41.25

x = 11

Substitute the value of x = 11.

11 + y = 35

y = 24

Hence, Diamond worked 24 overtime hours that week.

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Answer:p + n = 175

1p + 5n = 475

------------------ Subtract

Step-by-step explanation:

when the piggy bank was opened, it yielded $4.75 in nickels and pennies. If there were 175 coins in all, how many were nickels and how many were pennies?

Answer:

Standard error for the proportion of social media users who are concerned about privacy

S.E = 0.0219

Step-by-step explanation:

Explanation:-

Given data recent survey of 500 social media users, 300 stated that they were concerned about privacy

Size of random sample 'n' = 500

                                        x = 300

sample proportion         \(p = \frac{x}{n} = \frac{300}{500} = 0.6\)

Standard error for the proportion of social media users who are concerned about privacy is determined by

                 \(S.E = \sqrt{\frac{p(1-p)}{n} }\)

                \(S.E = \sqrt{\frac{0.6(1-0.6)}{500} }= 0.0219\)

Given

Variables

Find

Which variable being tested in an experiment

Explanation

The dependent variable is the variable that is being measured or tested in an experiment

response variable is often referred as dependent variable.

Final Answer

hence , the correct option is A.

On each roll of a 6-sided die, we have 6 possible outcomes.

Then if we roll it twice, we will have 36 outcomes.

The outcomes where the sum is 4 are:

roll 1     roll 2    sum

1             3           4

3            1            4

2           2           4

Son in 3 out of 36 outcomes the sum can be 4, then the probability opf rolling a sum of 4 is given by the quotient:

P = 3/36

P = 1/12

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Answer:

Y=KX so its 10=K2

Step-by-step explanation:

Plug in the Number OR K=y/x

The distance to second base is approximately 127.28 feet. Round to the nearest hundredth

Since the angle is 45 degrees, the other side of the right triangle are equal, hence we have two sides of 90 ft to be used to find the hypotenuse

Using Pythagoras theorem given by the  the formula

hypotenuse² = opposite² + adjacent²

plugging the values as in the problem

let x be the required distance

x² = 90² + 90²

x² = 16200

x = √16200

x = 90√2

x = 127.28 ft (to the nearest hundredth)

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Answer:

x = 27

Step-by-step explanation:

The first thing we want to do in this algebraic expression is to remove the known number from the side with the largest x value. In our case, it's 40, and the way we remove it is by adding or subtracting from both sides, since our's is negative we'll add it to both sides.

- 40 + 3x = x + 14

+40                +40

3x = x + 54

Now that we have put the two common numbers together were going to add or subtract the smaller x value on both sides, here it's x.

3x = x + 54

-x    -x

2x = 54

This is the last step in finding our solution, here we want to divide both numbers by the number next to x, which is 2.

2x / 2 = x

54 / 2 = 27

Now that we have divided both numbers we know that our answer is

x = 27

Hope this helps, good luck with the rest of your day :)

Answer:

Step-by-step explanation:

\(\lim_{8x \to \infty} 9_y=10\)

\( \phi = - 6x {}^{2} + 18x \\ \phi = - 6x(x - 3)\)

\( \psi = 6x + 36 \\ \psi = 6(x + 6)\)

Answer:

Step-by-step explanation:

Answer:

Question 1 =  -6x(x-3)

Question 2 =  6(x+6)

Step-by-step explanation:

Hope this helps

The next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term. None of the option is correct.

To find the pattern in the sequence 1, 1, 3, 8, 19, 41, we can examine the differences between consecutive terms:

1 1 3 8 19 41

0 2 5 11 22

Looking at the differences, we can observe that each subsequent difference is obtained by adding consecutive odd numbers: 2, 3, 4, 5, etc. This suggests that the original sequence may be related to square numbers.

Let's check if the differences between consecutive terms are square numbers:

2 = 1²

5 = 2² + 1²

11 = 3² + 2²

22 = 4² + 3²

Based on this pattern, we can make a reasonable assumption that the next difference should be 5² + 4² = 41 + 16 = 57. Adding this difference to the last term of the sequence (41), we get the next term:

41 + 57 = 98

Therefore, the next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term.

Hence, none of the given options accurately continue the pattern of the sequence. It's important to note that patterns in sequences can sometimes have multiple possible interpretations, and it's always essential to consider alternative patterns or extend the sequence further to confirm the pattern.

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The simplified form of the expression (2 1/6 ) × (1 1/3) is 26/9.

Given the expression in the question;

(2 1/6 ) × (1 1/3)

To simplify, first convert from mixed to improper fraction.

(2 1/6 ) × (1 1/3)

( (2×6 + 1)/6 ) × (1 1/3)

( (12 + 1)/6 ) × (1 1/3)

( 13/6 ) × (1 1/3)

( 13/6 ) × (1×3 + 1/3)

( 13/6 ) × (3 + 1/3)

( 13/6 ) × (4/3)

Now, cancel the common factor 2.

13/6 × 4/3

13/3 × 2/3

( 13 × 2 ) / ( 3 × 3 )

( 26 ) / ( 9 )

26/9

Therefore, the simplified form is 26/9.

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Answer:

Well, the smallest successive composites with gap 17, 73, 2, and 19 would have to be:

1. $341 = 11 \times 31$

2. $458 = 2 \times 299$

3. $460 = 2^2 \times 5 \times 23$

4. $479 = 13 \times 37$

It is given that the half-life is 20 years and the current population is 1.6 million.

It is required to find the population in 30 and 65 years, respectively.

Recall the Exponential Decay Half-Life Formula:

Where N₀ is the current population, t is the time in years, and h is the half-life.

(a) Substitute N₀=1.6, h=20, and t=30 into the formula:

About 600,000 animals will be left in 30 years.

(b) Substitute N₀=1.6, h=20, and t=65 into the formula:

Answer:

\(\sqrt{2}\)

Step-by-step explanation:

We can use pytho theorem to find X because its a right triangle, so:

a^2 + b^2 = c^2

plug our numbers

1^2 + 1^2 = x^2

simplify

1+1 = x^2

2=x^2

answer = root2

The volume of the cone is  37.70 cm³.

The volume of the cone is calculated as follows;

V = ¹/₃πr²h

where;

The radius of the cone is calculated by applying the following formula;

r = √ (5² - 4²)

r = 3 cm

The volume of the cone is calculated as;

V = ¹/₃πr²h

V = ¹/₃π(3)²(4)

V = 37.7 cm³

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Answer:

K = 17

Step-by-step explanation:

x = 8

the number of students that offer Mathematics is 11

The sum of the fractions of the pie chart should be equal to 1 since it represents the whole class of 80 students.

Let's write the fractions for each subject in terms of x:

Math: 5x/80

French: (16x-24)/80

English: (6x+12)/80

Hausa: (4x+12)/80

Physics: 5x/80

The sum of these fractions must equal 1:

5x/80 + (16x-24)/80 +  (6x+12)/80 + (4x+12)/80 + 5x/80 = 1

Multiplying both sides by the least common multiple (LCM) of the denominators, which is 80, we get:

5x + 16x - 24 + 6x + 12 + 4x + 12 + 5x = 80

Combining like terms, we get:

36x = 80

So, we have

x = 80/36

For maths, we have

Maths = 5 * 80/36

Maths = 11

Therefore, 11 students offer Mathematics.

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Answer:

x > -2

Step-by-step explanation:

B/c the sign is  > it will be an open circle

B/c the sign is  > it will be an infinity line

Also, use math-way, it'll help u with everything

Answer:

Step-by-step explanation:

From Left (earliest) to Right (most recent)

First Pharaoh   3100 BC

First Babylon    1830 BC

First Mali            1235 CE

First US President 1789 CE

To answer this question, we can proceed as follows:

We need to apply the following identity:

Then we have to find the sine and cosine for the given values. We need to take care of the quadrants for the signs of the functions.

1. We have that:

Therefore, we know that Θ is in the III Quadrant, and we already know that the cosines and sines functions are negative in this quadrant.

Then we have:

To find the opposite side of the triangle - to find later the sine ratio - we can use the Pythagorean Theorem as follows:

Therefore, we have that:

We need to remember that the sine function is negative in the III Quadrant.

We have also that:

We can see that the values for sine and cosine in the I Quadrant are positive. However, we have the value for tanβ. Therefore, we have:

We have to remember that tan = opposite side / adjacent side. Now, we need to find the hypotenuse to find the sine and cosine for this angle. We can use the Pythagorean Theorem again:

Therefore, we have:

We need to remember that both sine and cosine are positive in the first quadrant.

We know that:

Then

And we got that:

Then we have to substitute the corresponding values into the trigonometric identity given above:

Therefore, we have, in summary, that:

[We can also express the result as follows:

.]

Answer:

Step-by-step explanation:

D

a value of x cannot give two or more values of y.

Answer:C

Step-by-step explanation:because 19 has two y