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Dmitry_Shevchenko [17]
3 years ago
9

5y=120 and 2x=108 FIND THE MISSING VALUES

Mathematics
2 answers:
Genrish500 [490]3 years ago
4 0
The y is equal to 24 & The x is equal to 54
Anna71 [15]3 years ago
3 0
<h2>Answer:</h2>

To solve these, we will divide on both.

5y = 120\\\\y = 24

2x = 108\\\\x = 54

You might be interested in
Find the indicated limit, if it exists.
kondor19780726 [428]

Answer:

d) The limit does not exist

General Formulas and Concepts:

<u>Calculus</u>

Limits

  • Right-Side Limit:                                                                                             \displaystyle  \lim_{x \to c^+} f(x)
  • Left-Side Limit:                                                                                               \displaystyle  \lim_{x \to c^-} f(x)

Limit Rule [Variable Direct Substitution]:                                                             \displaystyle \lim_{x \to c} x = c

Limit Property [Addition/Subtraction]:                                                                   \displaystyle \lim_{x \to c} [f(x) \pm g(x)] =  \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)

Step-by-step explanation:

*Note:

In order for a limit to exist, the right-side and left-side limits must equal each other.

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle f(x) = \left\{\begin{array}{ccc}5 - x,\ x < 5\\8,\ x = 5\\x + 3,\ x > 5\end{array}

<u>Step 2: Find Right-Side Limit</u>

  1. Substitute in function [Limit]:                                                                         \displaystyle  \lim_{x \to 5^+} 5 - x
  2. Evaluate limit [Limit Rule - Variable Direct Substitution]:                           \displaystyle  \lim_{x \to 5^+} 5 - x = 5 - 5 = 0

<u>Step 3: Find Left-Side Limit</u>

  1. Substitute in function [Limit]:                                                                         \displaystyle  \lim_{x \to 5^-} x + 3
  2. Evaluate limit [Limit Rule - Variable Direct Substitution]:                           \displaystyle  \lim_{x \to 5^+} x + 3 = 5 + 3 = 8

∴ Since  \displaystyle \lim_{x \to 5^+} f(x) \neq \lim_{x \to 5^-} f(x)  , then  \displaystyle \lim_{x \to 5} f(x) = DNE

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit:  Limits

5 0
2 years ago
57 divided by 8 with remainder.
zavuch27 [327]
If you would like to calculate 57 divided by 8, you can do this using the following steps:

57 divided by 8:
57 / 8 = 7 1/8 = 7.125

The correct result would be 7 1/8 or 7.125.
8 0
3 years ago
Find the probability that the senator was in the Democratic party, given that the senator was returning to office.
shutvik [7]

Answer:

The probability that the senator was in the Democratic party, given that the senator was returning to office is 0.4715.

Step-by-step explanation:

The complete question is:

Sophia made the following two-way table categorizing the US senators in 2015 by their political party and whether or not it was their first term in the senate.

                   Democratic         Republican         Independent        Total

First Term           11                          28                        11                     50

Returning           33                         26                        11                     70

Total                   44                         54                        22                  120

Find the probability that the senator was in the Democratic party, given that the senator was returning to office.

Solution:

The conditional probability of an event <em>A</em> given that another event <em>X</em> has already occurred is given by:

P(A|X)=\frac{P(A\cap X)}{P(X)}

The probability of an event <em>E</em> is given by the ratio of the number of favorable outcomes to the total number of outcomes.

P(E)=\frac{n(E)}{N}

Compute the probability of selecting an US senator who is a Democratic and was returning to office as follows:

P(D\cap R)=\frac{33}{120}=0.275

Compute the probability of selecting an US senator who was returning to office as follows:

P(R)=\frac{70}{120}=0.5833

Compute the conditional probability, P (D | R) as follows:

P(D|R)=\frac{P(D\cap R)}{P(R)}

            =\frac{0.275}{0.5833}\\\\=0.4714555\\\\\approx 0.4715

Thus, the probability that the senator was in the Democratic party, given that the senator was returning to office is 0.4715.

4 0
3 years ago
Read 2 more answers
White a multiplication equation and a division equation that compare the number of points derek acored durin game 1(x) to the nu
Juli2301 [7.4K]

The correct question is:

The graph attached shows the number of points Derek scored

during his first five basketball games.

Write a multiplication equation and a division equation that compare the number of points Derek scored during Game 1 (x) to the number of points Derek scored during Game 4 (y).

Answer:

Multiplication equation is y = 3x

Division equation is x = y/3

Step-by-step explanation:

During Game 1, Derek had 6 points

Let x be this point, that is

x = 6

During Game 4, he had 18 points

Let y be this point, that is

y = 18

Notice that he has three times as many point in Game 4 as he had in Game 1. (Because 18 is 6 × 3)

This can be written mathematically as

18 = 6 × 3

y = x × 3 (where y is 18, and x is 6)

y = 3x (this is multiplication equation)

If you divide both sides by 3, we have

x = y/3 (this is the division equation)

4 0
2 years ago
Ill give correct one brainliest
adelina 88 [10]

Answer: make 6 jumps which are 0.4 long to get 2.4

Step-by-step explanation:

4 0
2 years ago
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