Ryan has read 30% of the pages of his book on monday if he read 45 pages how many pages does the book have

Answer:

The answer is C.

Step-by-step explanation:

I just did it and is was marked right.

Answer:

8.3% or 0.083  

Step-by-step explanation:

In the question we are given that:

The original price of bed = 1200$

The price of the bed after the discount = 1100$

Money saved = The original price of bed - The price of the bed after the discount = 1200$ - 1100$ = 100$

Percentage of original price = [tex]\frac{\text{Money saved}}{\text{Original price}}\times 100[/tex] = [tex]\frac{100}{1200}\times 100[/tex] =  8.3333..%

If we want to write the answer in the form of nearest tenths, then our percentage becomes 8.3%.

The decimal expansion can be written as 0.083.

The mean of the data set is:

                   18.5

The data values are given as:

Done Game          Pitches Seen

         1                         25

         2                        20

         3                        20

         4                        17

         5                        15

         6                        14

We know the mean of the data set is calculated as the average of the data values.

Hence, here the mean of the data set is ratio of the total number of pitches to the total number of games.

Total number of pitches=25+20+20+17+15+14=111

Number of games=6

[tex]Mean=\dfrac{111}{6}=18.5[/tex]

        Hence, Mean of the data set= 18.5

The original prices for the baseball cards are $120, $80, and $40.

Let's say the original prices of the first, second, and third baseball cards are x, y, and z respectively.

From the given information, we can form the following equations:

Solving these equations simultaneously, we can find the original prices:

Therefore, the original prices for the first, second, and third baseball cards are $120, $80, and $40 respectively.

Final answer:

The original prices of the 3 baseball cards were $88 for the first card, $56 for the second card, and $96 for the third card, worked out via a system of equations derived from the given information.

Explanation:

We're given that Andrew bought 3 baseball cards for a total of $240. When he sells the first card at double its original value along with the second card at its original price, the total is $320. Conversely, if he sells the first card at double its original value along with the third card, the total is $280.

Let's denote the original prices of the first, second, and third cards as F, S, and T respectively. We have two equations based on the information provided:

2F + S = $320

2F + T = $280

We also know the sum of the original prices:

F + S + T = $240

Subtracting each equation from the combined original price, we get:

S = $240 - T

T = $240 - S

Plugging these into our original equations:

2F + ($240 - T) = $320

2F + ($240 - S) = $280

Solving these equations, we find:

2F = $320 - ($240 - T) => 2F = $80 + T

2F = $280 - ($240 - S) => 2F = $40 + S

Therefore, T - S = $40. Now, using equation 3, F = $240 - S - T, we substitute T = S + $40 to get:

F = $240 - S - (S + $40) => F = $200 - 2S

And if we substitute this into 2F = $80 + T:

2($200 - 2S) = $80 + T

$400 - 4S = $80 + T

T = $320 - 4S

Combining this with T = S + $40, we get:

S + $40 = $320 - 4S => 5S = $280 => S = $56

Now we can find T and F:

T = $56 + $40 => T = $96

F = $200 - 2($56) => F = $88

Thus, the original prices of the baseball cards were $88 for the first card, $56 for the second card, and $96 for the third card.

Answer:

Both (0,350) and (250,700) are correct i think

Step-by-step explanation:

To find the ordered pairs for a successful fundraiser, multiple constraints need to be considered. These include the goal of making $1000 from sales, selling at least twice as many hamburgers as hot dogs, and the physical limit of burgers and hot dogs available.

The problem presents a set of inequalities to be solved. Firstly, to meet the $1000 objective, Jim needs to sell a combination of hamburgers (denoted by y) and hot dogs (x) such that 2x + 3y ≥ 1000. Secondly, he wants to sell at least twice as many hamburgers as hot dogs, which gives: y ≥ 2x. Lastly, Jim has a physical limit on the number of burgers and hot dogs he can sell, which gives: x ≤ 300 and y ≤ 800. The ordered pairs that satisfy all these constraints form the feasible region for Jim’s sales. We are looking for integer values in this region as it is not possible to sell a fractional number of hamburgers or hot dogs. Thus, we need to attentively examine the feasible region on the graph provided. Calculations can also help in confirming the graphical representation.

https://brainly.com/question/28823603

#SPJ2

The probability that a randomly selected person from the city who did not vote in the last election is a liberal is about 16.7 percent.

We are trying to find the probability that a person selected at random from the city is a liberal given that they did not vote in the last election. We can use Bayes' theorem and the law of total probability to solve this problem. First, we need to calculate the probability of a person not voting, P(NV), and then find the probability of being a liberal who did not vote, P(L and NV).

The total probability of not voting is P(NV) = P(C) \'97 P(V|C) + P(L) \'97 P(V|L) + P(I) \'97 P(V|I), where P(C) is the probability of being conservative, P(L) is the being liberal, P(I) is the probability of being independent, and P(V|C), P(V|L), P(V|I) are the probabilities of a conservative, liberal, and independent voting, respectively.

So, P(NV) = 0.30 \'97 0.65 + 0.50 \'97 0.82 + 0.20 \'97 0.50 = 0.35 + 0.09 + 0.10 = 0.54. This is the probability that a random person did not vote. Now, we need to find the probability that a person is a liberal and did not vote, P(L and NV) = P(L) \'97 P(NV|L), where P(NV|L) is the probability of a liberal not voting.

P(L and NV) = 0.50 \'97 (1 - 0.82) = 0.50 \'97 0.18 = 0.09. This is the probability that a person is a liberal who did not vote. Finally, to find the probability that a person is a liberal given they did not vote, P(L|NV), we use Bayes' theorem: P(L|NV) = P(L and NV) / P(NV) = 0.09 / 0.54 = 1/6 or approximately 0.167.

In conclusion, the probability that a person selected at random from the city is a liberal given that they did not vote in the last election is about 16.7 percent.

The value of the variables 'x' and 'y' will be 1 and 2, respectively. Then the value of the expression y / x will be 2.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The system of equations is given below.

3x + 5y = 13          ...1

6x + 7y = 20        ...2

Multiply the equation 1 by -2, then we have

6x + 7y = 20            ...2

- 6x - 10y = - 26          ...3

Add both equations, then we have

- 3y = - 6

y = 2

Then the value of the variable 'x' will be given as,

3x + 5(2) = 13

3x = 3

x = 1

The value of the expression y / x will be given as,

y / x = 2 / 1

y / x = 2

The value of the variables 'x' and 'y' will be 1 and 2, respectively. Then the value of the expression y / x will be 2.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Caroline saves the amount of $180 in 12 months which is determined by the proportion of the given rate.

A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other. Proportions are represented by the symbols "::" or "=".

We have been given that Caroline saves $45 in 4 months.

To determine the time takes her to save $180

Let the number of months takes her to save $180 would be x

As per the given condition, we can write a proportion as

4 months : $45 = x months : $45

⇒ 4 / 45 = x / 180

Apply the cross-multiplication operation,

⇒ 4 × 180 = x × 45

⇒ 540 = 45x

⇒ x = 540 / 45

⇒ x =12

Therefore, Caroline saves the amount of $180 in 12 months.

Learn more about the proportion here:

brainly.com/question/1504221

#SPJ5

Answer: ∠G≅M

∠E≅∠A

∠T≅∠P

segment GE≅ segment MA

segment ET≅ segment AP

segment GT≅ segment MP

Step-by-step explanation:

We know that if two triangles are congruent then their corresponding angles and sides are congruent by CPCTC.

[ CPCTC=Congruent Parts of Congruent Triangles ]

Given: ΔGET≅ΔMAP

Then by CPCTC

∠G≅M

∠E≅∠A

∠T≅∠P

segment GE≅ segment MA

segment ET≅ segment AP

segment GT≅ segment MP

Hence, if ΔGET≅ΔMAP, then  corresponding parts are congruent are :-

∠G≅M

∠E≅∠A

∠T≅∠P

segment GE≅ segment MA

segment ET≅ segment AP

segment GT≅ segment MP

Answer:

[tex]y=-\frac{1}{3}x-5[/tex]

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

[tex]A(-6,-3)\ B(6,-7)[/tex]

Substitute the values

[tex]m=\frac{-7+3}{6+6}[/tex]

[tex]m=\frac{-4}{12}=-\frac{1}{3}[/tex]

step 2

we know that

The equation of the line into slope intercept form is equal to

[tex]y=mx+b[/tex]

we have

[tex]m=-\frac{1}{3}[/tex]

[tex]B(6,-7)[/tex]

substitute and solve for b

[tex]y=mx+b[/tex] ------> [tex]-7=-\frac{1}{3}*6+b[/tex]

[tex]-7=-2+b[/tex]

[tex]b=-5[/tex]

The equation of the line is equal to

[tex]y=-\frac{1}{3}x-5[/tex]

Given: The watermelon costs $2.40 before a 30% discount.

To Find: An equation to find out the discounted price of the watermelon

Calculation/Explanation:

As the discount is 30%, this means a value of [tex](\frac{30}{100}).(2.40) = 0.72 $[/tex] should be deducted from the original price to find the new price after discount.

Thus, new price of the watermelon after the discount is [tex]2.40-0.72=1.68[/tex] dollars.

Thus, the expresion that denotes the new price after the discount is [tex]2.40 - ((\frac{30}{100}).(2.40)) \\=2.40-0.72\\=1.68 $[/tex]  

We see that both of them cost equal.

(  As they are approximately of the same cost in cents)

1)

            12 oz for $ 5.28

This means that the rate of 1 oz is:

      $ 5.28/12= $ 0.44

Also we know that 1 dollar= 100 cents.

This means that:   $ 0.44= 44 cents.

Hence, cost of 1 oz is: 44  cents.

2)

                     18 oz for  $ 7.96

This means that the rate of 1 oz is:

      $ 7.96/18= $ 0.4422 cents

Also we know that 1 dollar= 100 cents.

This means that:   $ 0.4422= 44.22 cents.

Hence, cost of 1 oz is: 44  cents.

        Both are of same cost.

Answer:

The correct option is A.

Step-by-step explanation:

The given rule of translation is

[tex](x,y) \rightarrow (x-7,y-7)[/tex]        ..... (1)

The rule of translation is defined as

[tex](x,y) \rightarrow (x+a,y+b)[/tex]      ......(2)

Where, a is horizontal translation and b is vertical translation.

If a>0, then graph shifts a units right and if a<0, then graph shifts a units left.

If b>0, then graph shifts b units up and if b<0, then graph shifts b units down.

From equation (1) and (2) we get

[tex]a=-7,b=-7[/tex]

Since a=-7<0 and b=-7<0, therefore graph translated 7 units to the left and 7 units down.

Therefore the correct option is A.

Parallel lines or segments are equidistant from each other and do not intersect. This principle also applies to vectors with identical directions and magnitudes, and to other instances like horizontal lines on a grid or parallel patterns in sentence construction.

Parallel lines or segments are those that are equidistant from each other and never intersect, regardless of how far they extend. In the context of vectors, two vectors are said to be parallel if they have identical directions, denoted by A = B if and only if they have equal magnitudes.

As illustrated in geometry, the horizontal lines on a grid can be parallel. Even visually, parallelism denotes a close resemblance and continuity, as seen in electric field lines drawn parallel to the wire placed on the x-axis.

The horizontal lines in this figure are parallel loops. This is because they remain an equal distance apart at all points. A similar concept of parallel patterns can be seen in grammatical structures and construction of a sentence.

Learn more about Parallel Lines here:

https://brainly.com/question/28420574

#SPJ6

Answer:

infinite

Step-by-step explanation:

same line

opposite angle equal each other so:

(12x-10) = (5x+53)

add 10 to both sides

12x = 5x+63

subtract 5x from each side

7x=63

 divide both sides by 7

x = 63/7

x = 9