For the two numbers listed, find two factors of the first number such that their product is the first number and their sum is the second number. 9 , 10

Answer:

D) 10.00 for a 36 pack

Step-by-step explanation:

(I'm going up by the smallest pack to the highest because I noticed they are all multiples of 6)

1.80 for a 6 pack (double it to become a 12 pack)

3.60 for a 12 pack but the other 12 pack is more expensive making a 6 pack cheaper. (add another 6 pack)

5.40 for a 18 pack (add another 6pack)

7.20 for a 24 pack so this means the 6pack is more expensive and a 24pack is cheaper (in gonna keep adding till we get to 36 pack)

9 for a 30 pack

10.80 for a 36 pack

The probability that a person chosen at random has run a red light in the last year can be calculated by taking the number of people who said “yes” to running a red light and dividing it by the total number of people in the group.

For example, if 10 people said “yes” and 20 said “no”, the probability of a person chosen at random running a red light in the last year is 10/30, or 1/3.

The probability of an event happening is calculated using the formula:

Probability = Number of Favorable Outcomes / Total Number of Outcomes

In this case, the favorable outcome is running a red light in the last year, and the total number of outcomes is the total number of people asked.

To calculate the probability, we take the number of people who said “yes” to running a red light in the last year and divide it by the total number of people in the group. In our example, 10/30 = 1/3, so the probability that a person chosen at random has run a red light in the last year is 1/3.

In conclusion, the probability of a person chosen at random having run a red light in the last year is calculated by taking the number of people who responded “yes” and dividing it by the total number of people in the group.

See more about probability at: https://brainly.com/question/14633532

#SPJ11

Answer:

\(sin^2x\)

Step-by-step explanation:

To simplify the expression (1 - cos x)(1 + cos x), we can use the difference of squares identity, which states that \(a^2 - b^2 = (a + b)(a - b).\)

Let's apply this identity to the given expression:

\((1 - cos x)(1 + cos x) = 1^2 - (cos x)^2\)

Now, we can simplify further by using the trigonometric identity \(cos^2(x) + sin^2(x) = 1.\) By rearranging this identity, we have \(cos^2(x) = 1 - sin^2(x).\)

Substituting this into our expression, we get:

\(1^2 - (cos x)^2 = 1 - (1 - sin^2(x))\)

Simplifying further:

\(1 - (1 - sin^2(x)) = 1 - 1 + sin^2(x)\)

Finally, we get the simplified expression:

\((1 - cos x)(1 + cos x) = sin^2(x)\)

To simplify the expression \(\sf\:(1-\cos x)(1+\cos x)\\\), follow these steps:

Step 1: Apply the distributive property.

\(\longrightarrow\sf\:(1-\cos x)(1+\cos x) = 1 \cdot 1 + 1 \cdot \\\)\(\sf\: \cos x -\cos x \cdot 1 - \cos x \cdot \cos x\\\)

Step 2: Simplify the terms.

\(\longrightarrow\sf\:1 + \cos x - \cos x - \cos^2 x\\\)

Step 3: Combine like terms.

\(\longrightarrow\sf\:1 - \cos^2 x\\\)

Step 4: Apply the identity \(\sf\:\cos^2 x = 1 - \sin^2 x\\\).

\(\sf\:1 - (1 - \sin^2 x)\\\)

Step 5: Simplify further.

\(\longrightarrow\sf\:1 - 1 + \sin^2 x\\\)

Step 6: Final result.

\(\sf\red\bigstar{\boxed{\sin^2 x}}\\\)

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

√134 is the number which is located between 11 and 12 on a number line.

A number line is a horizontal straight line on which real numbers are arranged in equal intervals. This line extends both sides at infinity.

Comparison and operations of numbers can be better explained using number lines.

Taking consecutive perfect squares of integers which lies above and below the given numbers on the number line and taking it's square root, we can find the answer.

The perfect squares below and above 150 are 144 = 12² and 169 = 13². So √150 lies in between 12 and 13.

The perfect squares below and above 134 are 121 = 11² and 144 = 12². So √134 lies in between 11 and 12.

The perfect squares below and above 115 are 100 = 10² and 121 = 11². So √115 lies in between 10 and 11.

The number 121 is itself a perfect square. √121 = 11.

Hence √134 is the number which lies in between 11 and 12.

To learn more about Number line, click:

https://brainly.com/question/13425491

#SPJ1

The main difference between the reciprocal and inverse of a function is their definition and properties. The reciprocal of a function f(x) is defined as 1/f(x), while the inverse of a function f(x) is a function f^(-1)(x) such that \(f(f^(-1)(x))=x and f^(-1)(f(x))=x\) for all x in their respective domains.

The domains of sine, cosine, and tangent functions need to be restricted to define their inverse functions because they are not one-to-one functions. In order to have an inverse, a function must be both one-to-one (each output has only one input) and onto (each output value is mapped by at least one input value).

For example:
- sine: restricted domain to [-π/2, π/2] to define its inverse, arcsin (sin^(-1))
- cosine: restricted domain to [0, π] to define its inverse, arccos (cos^(-1))
- tangent: restricted domain to (-π/2, π/2) to define its inverse, arctan (tan^(-1))

These restrictions ensure that the functions become one-to-one and onto, making it possible to define their inverses uniquely.

for such more questions on function

https://brainly.com/question/11624077

#SPJ11

If there are twice as many less ten dimes as quarters and the total value of the jar is $30.95, the number of quarters is 71

The coins of the American dollar are the quarter, dime, nickel, and penny. The value of a quarter is 25 cents (25% of a dollar), that of a dime is 10 cents (10% of a dollar), that of a nickel is 5 cents (5% of a dollar), and that of a penny is 1 cent (1% of a dollar).

Pennies are made of zinc today, but they were once also made of copper and iron. Nickel and copper combine to form nickels. While silver was once used to make dime, they are now made of copper and nickel. Nickel and copper are also used to make quarters.

Let the no. quarters be Q

And no. dimes be D

There are twice as many less ten dimes as quarters, which gives us

D = 2Q - 10

We know 25Q + 10D = 3095 cents

Substituting the value of Q we get

⇒ 25Q + 10(2Q - 10) = 3095

⇒ 25Q + 20Q - 100  = 3095

⇒ 45Q = 3095 + 100

⇒ 45Q = 3195

⇒ Q = 3195/45

⇒ Q = 71

Learn more about quarters

https://brainly.com/question/346207

#SPJ9

Answer:

= 24.

Step-by-step explanation:

-(-5+(-8))-(-9-2)

= -(-5-8)-(-9-2)

= 5 + 8 + 9 + 2

= 13 + 11

= 24

Answer:

a) 5x

b) 6xy

c) 6xy

hope this answer helps you....

Answer:

The correct answer is x¹¹

from the law of indices

Answer:

n = 0.5

Step-by-step explanation:

3n - 1.4 = 0.1

Answer:

9) choice 1) pentagon

10) choice 2) rectangle

11) choice 4) 2 and 3

12) choice 2) they are similar because 7/5 = 21/15

13) choice 2) the triangle

14) choice 1

Step-by-step explanation:

The measure of angle YXZ is 9.

We are given that;

XZ= x+54

YZ= x+108

Now,

By the property of angle sum of circle

x+54+x+108=180

2x+162=180

Solving the equation

2x=180-162

2x=18

x=9

Therefore, by the angle property the answer will be 9.

Learn more about angles;

https://brainly.com/question/7116550

#SPJ1

The measure of angle YXZ is 9.

We are given that;

XZ= x+54

YZ= x+108

Now,

By the property of angle sum of circle

x+54+x+108=180

2x+162=180

Solving the equation

2x=180-162

2x=18

x=9

Therefore, by the angle property the answer will be 9.

Learn more about angles;

https://brainly.com/question/7116550

#SPJ1

Answer:

if x is what you are looking for then, x = 30

Step-by-step explanation:

3x - 40 = x + 20 (they are vertically oppositel

2x = 60

x = 30

Answer:

x = 30

Step-by-step explanation:

The 2 given angles are vertical and congruent, thus

3x - 40 = x + 20 ( subtract x from both sides )

2x - 40 = 20 ( add 40 to both sides )

2x = 60 ( divide both sides by 2 )

x = 30

Answer:

i think its B

Step-by-step explanation:

Answer:

i think probably x = 1 or 5

Step-by-step explanation:

x²-6x+5 =0

so (x-1)(x-5) = 0

so x = 1 or 5

Answer: variability between means increases relative to the variability within groups

Step-by-step explanation:

The formula to calculate F-ratio : variance between groups divided by variance within groups

Here, F-ratio \(\propto\) is proportional to variance between groups but inversely proportional to variance within groups .

So, F-ratio increases when variability between means increases relative to the variability within groups.

3x + 2 > x + 8

3x - x > 8 -2

2x > 6

x > 3

ok done. Thank to me  :>

Answer:

Probability of both even is 12×12=14. Given they are both even there are 3 possible even numbers: 2,4,6.

Step-by-step explanation:

The best approximation of the cost for an additional square foot of living space for homes in this neighborhood is a decrease of $0.125 thousand, or $125, for every one additional square foot of living space.

Since we are looking for an approximation of the cost for an additional square foot of living space, we need to find the slope of the line of best fit for the given scatterplot. The slope of the line represents the change in the cost of the house for every one unit increase in the living space, which in this case is one square foot.

From the scatterplot, we can see that as the living space increases, the cost of the house also increases, indicating a positive linear relationship. We can also see that there is a line of best fit that closely approximates this relationship.

To find the slope of the line of best fit, we can choose any two points on the line and calculate the change in the y-coordinate (the cost) divided by the change in the x-coordinate (the living space). One way to do this is to choose the two points where the line intersects the y-axis and the x-axis. From the scatterplot, we can estimate these points to be approximately (0, 200) and (1600, 0), respectively.

Using these two points, the slope of the line of best fit is:

slope = (change in y) / (change in x)

slope = (200 - 0) / (0 - 1600)

slope = -0.125

Therefore, the best approximation of the cost for an additional square foot of living space for homes in this neighborhood is a decrease of $0.125 thousand, or $125, for every one additional square foot of living space.

To know more about scatter plots follow

https://brainly.com/question/28042391

#SPJ1

Answer:

m ∠ M L N = 120

m < QLP =50

Step-by-step explanation:

Ray lq at 0 or 180,

ray lp at 50 or 130,

ray ol at 90,

ray ln at 60 or 120

and ray lm at 0 or 180

Lets substitute the values of the angles to check the given options

1) ∠ Q L P + m ∠ P L O =m< MLN+m< NLO m

50 +40= 120+30

90 is not equal to 150

2) m < QLO- m < QLP =m < MLO-m< MLN m

90-50 = 90-120

40 is not equal to 30

3) m< MLN\:=\:120  From the figure based on observation this is correct.

4) m < QLP =50   From the figure based on observation this is also correct.

Answer:

Given: Angle L N O ≅ Angle L N M

           Angle O L N ≅ Angle M L N

Prove: Angle L N O ≅ Angle L N M

Triangles L O N and L M N share common side L N. Angles O L N and N L M are congruent. Angles O N L and L N M are congruent.

It is given that angle LNO is congruent to angle

✔ LNM

and angle OLN is congruent to angle

✔ MLN

. We know that side LN is congruent to side LN because of the

✔ reflexive property

. Therefore, because of

✔ ASA

, we can state that triangle LNO is congruent to triangle LNM.

Step-by-step explanation:

Answer:

2.3333333333333333333333333333333 sec

A slow-moving barge moves through the sea at a speed of 4 km/h. It travels 8 miles upstream in the same amount of time as a barge traveling 24 miles downstream with the current. The current moves at a 2 km/h rate.

Let’s start by using the formula for distance, rate, and time:

Distance = rate x time

Let’s assume that the rate of the current is r km per hour.

Going upstream (against the current), the effective rate of the barge is:

4 – r km per hour

Going downstream (with the current), the effective rate of the barge is:

4 + r km per hour

We are told that the time it takes the barge to travel 8 miles upstream is the same as the time it takes to travel 24 miles downstream. Using the formula, we can set up the following equation:

8 / (4 – r) = 24 / (4 + r)

We can simplify this equation by cross-multiplying:

8(4 + r) = 24(4 – r)

Expanding and simplifying, we get:

32 + 8r = 96 – 24r

Adding 24r and subtracting 32 from both sides, we get:

32r = 64

Dividing both sides by 32, we get:

R = 2

Therefore, the rate of the current is 2 km per hour.

To learn more about upstream, refer:-

https://brainly.com/question/17300107

#SPJ4

Answer:

20 m/s

Step-by-step explanation:

72000 m/hr

72000 m/3600 s

20 m/s

Answer:

20 m/s

Step-by-step explanation:

=> 72 km/hr

In changing the speed from km/hr to m/s, we multiply by \(\frac{10}{36}\)

So,

=> 72 × \(\frac{10}{36}\)

=> 2 × 10

=> 20 m/s

In statistical experiments, each time the experiment is repeated, a different outcome may occur. The correct answer is C.

Statistical experiments involve random processes, such as the random selection of individuals from a population, the random assignment of subjects to groups, or the random measurement of a variable.

The outcome of a statistical experiment is influenced by chance and is inherently uncertain, so it is not possible to guarantee that the same outcome will occur every time the experiment is repeated. Different outcomes may occur, even if the experimental conditions are kept constant, due to the random nature of the processes involved.

Learn more about statistical experiments here: https://brainly.com/question/22044990

#SPJ4

Accοrding the given questiοn 0.16 is 0.4 Percentage οr % οf 40

A percentage is a number οr ratiο that can be expressed as a fractiοn οf 100 in mathematics. If we need tο calculate a percentage οf a number, multiply it by 100 and divide it by the tοtal. Sο, a part per hundred is what the percentage refers tο. Percent means fοr every 100. The symbοl "%" is used tο denοte it.

Percentages have nο dimensiοn. Hence it is called a dimensiοnless number. If we say, 50% οf a number, then it means 50 per cent οf its whοle.

0.4% is equivalent tο 0.4/100 = 0.004 as a decimal.

Tο find οut what number (a) is 0.4% οf 40, we can use the fοllοwing fοrmula:

a = 0.004 x 40

a = 0.16

Therefοre, 0.4% οf 40 is 0.16.

Learn more about  Percentages

https://brainly.com/question/29306119

#SPJ1

Answer:

1/7 + r = 1/3

Step-by-step explanation:

Rocco takes 7 hours to do the job.
In 1 hour, Rocco does 1/7 of the job.

Rocco's rate is 1/7 job per hour.

It takes Giulia x hours to do the job.

In 1 hour, Giulia does 1/x of the job.

Let r = 1/x. Giulia's rate is r part of the job per hour.

Together, Rocco and Giulia take 3 hours to do the job.

In 1 hour, Rocco and Giulia do 1/3 of the job.

Together, their rate is 1/3 of the job per hour.

1/7 + r = 1/3

If the stream narrows from 30 feet to 20 feet, the width of the stream has narrowed, and the velocity should increase. The correct answer is b.

According to the principle of conservation of mass, when the width of a stream narrows, the volume flow rate (the amount of water passing through a given point per unit time) must remain constant if there are no other factors involved.

The volume flow rate (Q) can be calculated as the product of the cross-sectional area (A) and the velocity (v): Q = A * v.

When the width of the stream narrows from 30 feet to 20 feet while the volume flow rate remains constant, the cross-sectional area decreases. To maintain a constant volume flow rate, the velocity must increase.

This is because the same amount of water is passing through a smaller cross-sectional area, requiring an increase in velocity to compensate for the reduced width.

Therefore, the correct statement is that the width of the stream has narrowed, and the velocity should increase.

The correct answer is b.

To learn more about velocity click on,

https://brainly.com/question/30896450

#SPJ4

Answer:

4•(2+5)^2 -5^2 = 171

Step-by-step explanation:

Do BIDMAS
(brackets, indices, division, multipy, add, sub)

so brackets
4*7^2-5^2
then do the indices
4*49-25
then the multiply
196-25
= 171
Hope this helps

Answer: Brackets => 4 x (7)^2 - 5^2
               Indices/Orders => 4 x 49 - 25

               Multiplication => 196 - 25

               Subtraction => 171