How to solve this problem

Let's say you had a cake that is cut into 5 equal slices. Then someone eats 2 of those slices. They ate 2/5 of the cake.

Now let's say you have another cake that you cut into 10 equal slices. If someone eats 4 of those ten, then they have eaten 4/10 = 2/5 of the cake.

Check out the diagram below to see a visual of how 4/10 and 2/5 are equivalent fractions.

Going from 2/5 to 4/10 has us multiply top and bottom by 2.

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Similarly, 1/2 = 5/10 after multiplying top and bottom by 10

The original expression 2/5 + 1/2 turns into 4/10 + 5/10

Then you add the numerators to get 4+5 = 9, placing that over the common denominator of 10

Answer: Null hypothesis: \(p\leq0.50\)

Alternative hypothesis: \(p>0.50\)

Step-by-step explanation:

Given: p = Proportion of all marketing researchers who disapprove of the actions taken in the conflict of interest scenario.

n= 200

Sample proportion = \(\hat{p}=\dfrac{109}{200}=0.545\)

Claim : p>0.50

Null hypothesis: \(p\leq0.50\)

Alternative hypothesis: \(p>0.50\)

Answer: He owes Beth and his mom $125

Step-by-step explanation:

The Distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.

The distance between two points in a coordinate plane. The distance formula is based on the Pythagorean theorem and calculates the straight-line distance between two points.

The coordinates of the first point as (x1, y1) = (4, -2) and the coordinates of the second point as (x2, y2) = (7, -9).

The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values:

d = sqrt((7 - 4)^2 + (-9 - (-2))^2)

d = sqrt((3)^2 + (-7)^2)

d = sqrt(9 + 49)

d = sqrt(58)

Hence, the distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.

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Answer:

C

Step-by-step explanation:

Examining the number line given, it is very easy to tell which number line represents points A, B, C, and D.

If we look at the third number line, points A, B, C, and D are all well represented on the number line. Therefore the third option is the answer.

Answer:

\(d=\sqrt{45}\), or \(d=3\sqrt{5}\), or about 6.7

Step-by-step explanation:

[] We can use the distance formula to solve.

-> \(d=\sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1})^{2 } }\)

-> P(6, -3) will be point one

-> P(3, -9) will be point two

[] Plugging in and solving:

\(d=\sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1})^{2 } }\)

\(d=\sqrt{(3 -6)^{2} +(-9--3)^{2 } }\)

\(d=\sqrt{(3 -6)^{2} +(-9+3)^{2 } }\)

\(d=\sqrt{(-3 )^{2} +(-6)^{2 } }\)

\(d=\sqrt{9 +36 }\)

\(d=\sqrt{45}\)

\(d=3\sqrt{5}\)

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

thats what i said

Step-by-step explanation:

Answer:

x < -3 or x > 2

Step-by-step explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

(x - 2) (x + 3) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2

The sentence that best describes the paragraph is: "The pirates didn't believe Caesar would kill them because he was their prisoner." So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.

The paragraph recounts the events of Caesar's kidnapping by pirates while crossing the Aegean Sea. Despite being held captive, Caesar maintained an attitude of superiority. The pirates demanded a ransom of 20 talents of silver, but Caesar insisted they ask for 50. This indicates that Caesar saw himself as more valuable than the initial ransom amount suggested by the pirates.

After the ransom was paid, Caesar did not forget the pirates' actions. He raised a fleet, pursued the pirates, and captured them. The sentence implies that the pirates didn't believe Caesar would actually kill them because he was their prisoner and they likely saw his promises as mere jest.

However, Caesar, true to his word, had the pirates crucified on his own authority.

This sequence of events highlights Caesar's determination, strategic thinking, and his ability to command respect even in dire circumstances. Despite being initially taken prisoner, he managed to turn the tables on the pirates, assert his authority, and exact his revenge. So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.

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Each snack cost $5.50

You start with $45, and afterwards end up with $12, so subtract 12 from 45 and you end up with 33. Then divide 33 by 6, since she bought 6 snacks, and you get $5.50.

We will proceed as follows:

*The volume of a rectangular solid is given by the expression:

Therefore, it's volume will be:

So, it's volume equals 4800 cm^3.

*The surface area of a rectangular solid is given by the expression:

So, its surface area will be:

Therefore, its surface area equals 1720 cm^2.

Answer:

between 6 and 7

Step-by-step explanation:

The square root of 40 is about 6.32, so this number belongs between 6 and 7 on a number line.

The value of the probability of the different events are,

The value of the probability P (3) is,

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/45

We have to given that;

A box contains 2 red marbles, 5 green marbles and 8 blue marbles.

Hence, Total marbles = 2 + 5 + 8 = 15

So, The value of the probability P (3) is,

⇒ 3 / 15

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/15 x 5/15

⇒ 8/15 x 1/3

⇒ 8 / 45

Thus, The value of the probability P (3) is,

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/45

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Answer:

x=90

Step-by-step explanation:

The shape given is a parallelogram which means that opposite angles would always be 90°

If we want to check again, we can multiply 90 by 4 to see that it would add up to 360! In a quadrilateral all the angles must add up to 360 so this means our answer would be correct!

Hope this helps, have a lovely day! :)

Answer: 36

Explanation:

We need to find wich one of the options can be divided by 4 and 6 in an exact manner (no decimal point in the result).

For option A. 10

10/4 = 2.5

10/6=1.66

So 10 is not exactly divided by 4 or 6. This is not a possible number of apples.

For option B. 20

20/4=5

20/6=3.33

thus, 20 is divisible by 4 but not by 6, so this is also not the answer.

For option C. 36

36/4=9

36/6=6

36 is exactly divisible by both 4 and 6. This is a possible number of apples in the bag.

Answer: 36

Answer:

40 dollar

Step-by-step explanation:

half of 80 is 40

Answer:

40$

Step-by-step explanation:

sale price(S.P.)=discount% of M.P.(marked price)

S.P.=50% of 80$

S.P=50/100*80$

Hence,S.P.(selling price)=0.5*80$=40$

Answer:

(15,-40)

Step-by-step explanation:

Answer:

1. x, -5 y, 10

2. x, 2 y, 5

Step-by-step explanation:

I couldn't screenshare the graph so i just gave you were to graph the answers

Answer:

the answer is letter A

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

1. 2(l+w)

2. 2(17+3)

3. 2(20)

4. 2*20

Answer:

I'm sorry, but you haven't provided any information about the function F(x). In order to determine the value of x when F(x) equals 7, I need to know the specific form or equation of the function. Could you please provide more details or the equation of F(x)?

Step-by-step explanation:

Answer:

canadate A =4 votes

Step-by-step explanation:

Answer:

A. 125/100 = p/35

Step-by-step explanation:

" I hope it helps : - ) "

Answer:

22,40,62

Step-by-step explanation:

0+2=2  2+6=8 8+10=18

2 6 10 14 18 22 four in between

so you will add these numbers each time

18+14=22  22+18=40  40+22=62

The next three numbers in the sequence is 32, 50 and 72.

A sequence is an ordered list of numbers (or other elements like geometric objects), that often follow a specific pattern or function. Sequences can be both finite and infinite.

Given the numbers:

We can see that the numbers decrease in decrement of 4 from the previous difference until 0, the it increase by increments of 4 starting from 2.

The next three numbers is:

The next three numbers in the sequence is 32, 50 and 72.

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By applying the elimination method the value of x is - 2 and y is 7.

This is a problem from algebraic equations and we have to apply the elimination method. We can solve this problem by following a few steps.

So, the given equation according to the question is,

− 2x = 4 ................ ( equation 1 )

4x + 2y = 6 ............... ( equation 2 )

While applying the elimination method we have to multiply equation (1) with the positive coefficient of x in the second equation and vice versa.

Here the coefficient of x in the first equation is 2 and in the second equation is 4.

Now, we have to multiply equation ( 1 ) with 4 and equation ( 2 ) with 2.

Therefore,

− 2x = 4 ................ ( equation 1 ) × 4

4x + 2y = 6 ............... ( equation 2 ) × 2

Now, we can rewrite the equations as,

− 8x = 16 .................. ( equation 3 )

8x + 4y = 12 .................. ( equation 4 )

Now the coefficient of x in both equations are same but opposite sign. So, we have to add the equations.

Here we get , -8x + 8x + 4y = 16 + 12

Or, 4y = 28

Or, y = 7

Now, we have to put the value of y in any equation.

4x + 2.7 = 6  ( equation 2 )

Or, 4x = 6 - 14 = -8

Or, x = -2

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The correct question :

By applying the elimination method, solve the following pair of simultaneous equations:

− 2x = 4

4x + 2y = 6

Therefore, the missing expression in Step 1 is [-8 - 1] + (2 + 3).

In order to find the missing expression in Step 1, let's analyze the given steps and the final expression.

Step 1: ?

Step 2: -9 + 2 + 3

Step 3: -7 + 3

To find the missing expression in Step 1, we need to work backwards from Step 3 to Step 1.

In Step 3, the expression "-7 + 3" gives us a result of -4.

In Step 2, the expression "-9 + 2 + 3" gives us a result of -4.

So, the missing expression in Step 1 should also evaluate to -4 when performed correctly.

Let's check the available options:

[-10 + -1 + 2] + (2 + 3) = -11 + 2 + 5 = -4

[-8 - 1] + (2 + 3) = -9 + 5 = -4

[-10 + 1] + (2 + 3) = -9 + 5 = -4

[8 + 1] + (2 + 3) = 9 + 5 = 14

Out of the given options, only option 2, [-8 - 1] + (2 + 3), correctly evaluates to -4. Therefore, the missing expression in Step 1 is [-8 - 1] + (2 + 3).

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After solving the exponential equation P(t) = P(0)(1.1)^5, it is obtained that on over 5 years, increasing 10% each year, the prices would have increased by 61%.

What is an exponential function?

The formula for an exponential function is f(x) = a^x, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.

If journal prices had a constant rate of increase, it's prices could be modeled by the following exponential equation -

P(t) = P(0)(1+r)^t

In which P(t) is the price after t years, P(0) is the initial price and r is the rate of increase.

If the rate is increased 10% each year, then r = 0.10.

Substitute the value into the equation -

P(t) = P(0)(1+0.1)^t

P(t) = P(0)(1.1)^t

Now, for time period of 5 years, t = 5.

Substitute the value into the equation -

P(t) = P(0)(1.1)^5

P(t) = 1.61051P(0)

The initial price is 100%, which gives -

P(t) = 1.61051P(0) - P(0)

P(t) = 0.61051

Therefore, the price increase percentage is 61%.

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First, we find x such that:

The only real number that can be a solution for the above equation is 0, therefore x=0.

Now, we complete a t-chart with two points to the right and two points to the left of (0,f(0)):

Answer: The graph of the function is:

Answer:

(p+,7)2 the number 2 is to be above 7 hope this helps

Therefore, the probability that a woman will give birth to two boys is only one in three, whereas the probability that a man will do so is one in two.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Here,

The woman may have at least one boy in the three following ways: 1) older boy, younger girl; 2) older girl younger boy; 3) older boy, younger boy.

But the man's children may be distributed in only two ways: 1) older boy, younger girl; or 2) older boy, younger boy.

So the chances are only 1 out of 3 that the woman has two boys, but the chances are 1 out of 2 that the man has two boys.

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