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4 years ago

I am doing algebra elementry work and need help 7x + 52=2x-13

Mathematics

2 answers:

cestrela7 [59]4 years ago

7 0

Answer:

x = -13

Step-by-step explanation:

Simplifying

7x + 52 = 2x + -13

Reorder the terms:

52 + 7x = 2x + -13

Reorder the terms:

52 + 7x = -13 + 2x

Solving

52 + 7x = -13 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

52 + 7x + -2x = -13 + 2x + -2x

Combine like terms: 7x + -2x = 5x

52 + 5x = -13 + 2x + -2x

Combine like terms: 2x + -2x = 0

52 + 5x = -13 + 0

52 + 5x = -13

Add '-52' to each side of the equation.

52 + -52 + 5x = -13 + -52

Combine like terms: 52 + -52 = 0

0 + 5x = -13 + -52

5x = -13 + -52

Combine like terms: -13 + -52 = -65

5x = -65

Divide each side by '5'.

x = -13

Simplifying

x = -13

liraira [26]4 years ago

3 0

Answer:-13

Step-by-step explanation:

First subtract you have to get the Xs together by subtracting

7x from 2x to get 5x

The do the same for 52 and 13

-52 from -13

13 carries the Minus with it.

then you will get -65 divide that by 5 and get -13

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Answer:

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Step-by-step explanation:

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3 years ago

In France gasoline is 2.096 per liter. There are 3.78541178 liters per gallon. If the Euro is trading at 1.762 then the equivale

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Answer:

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Step-by-step explanation:

Assuming that the exchange rate is 1.762 US$ /€ , then

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4 years ago

It is snowing and salt trucks are

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Answer:

The volume of a mound of salt-sand mixture is 589.05 feet ³ or 589.05 cubic feet.

Step-by-step explanation:

1. Let's check the information given to resolve the question:

Diameter of a mound of the mixture = 15 feet

Height (h) of the mound of the mixture = 10 feet

How much salt-sand mixture is there?

2. Let's find the volume of a mound of mixture with a conical shape:

For doing that, we need to use the volume formula of a cone.

It's: 1/3 * π * r² * h

Replacing with real values, we have:

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3 years ago

Suppose approximately 75% of all marketing personnel are extroverts, whereas about 70% of all computer programmers are introvert

Setler [38]

Answer:

$P(x \ge 5) = 1.000$ ---- At least 5 from marketing departments are extroverts

$P(x=15) = 0.013$ ---- All from marketing departments are extroverts

$P(x = 0) = 0.002$ ---------- None from computer programmers are introverts

Step-by-step explanation:

See comment for complete question

The question is an illustration of binomial probability where

$P(x) = ^nC_x * p^x * (1 - p)^{n-x}$

$(a):\ P(x \ge 5)$

$n = 15$ --- marketing personnel

$p = 75\%$ --- proportion that are extroverts

Using the complement rule, we have:

$P(x \ge 5) = 1 - P(x < 5)$

So, we have:

$P(x < 5) =P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4)$

$P(x = 0) = ^{15}C_{0} * (75\%)^0 * (1 - 75\%)^{15 - 0} = 1 * 1 * (0.25)^{15} = 9.31 * 10^{-10}$

$P(x = 1) = ^{15}C_{1} * (75\%)^1 * (1 - 75\%)^{15 - 1} = 15* (0.75)^1 * (0.25)^{14} = 4.19 * 10^{-8}$

$P(x = 2) = ^{15}C_{2} * (75\%)^2 * (1 - 75\%)^{15 - 2} = 105* (0.75)^2 * (0.25)^{13} = 8.80 * 10^{-7}$

$P(x = 3) = ^{15}C_{3} * (75\%)^3 * (1 - 75\%)^{15 - 3} = 455* (0.75)^2 * (0.25)^{12} = 0.0000153$

$P(x = 4) = ^{15}C_{4} * (75\%)^4 * (1 - 75\%)^{15 - 4} = 1365 * (0.75)^4 * (0.25)^{11} = 0.000103$

So, we have:

$P(x < 5) = (9.31 * 10^{-10}) + (4.19 * 10^{-8}) + (8.80 * 10^{-7}) + 0.0000153 + 0.000103$

$P(x < 5) = 0.00011922283$

Recall that:

$P(x \ge 5) = 1 - P(x < 5)$

$P(x \ge 5) = 1 - 0.00011922283$

$P(x \ge 5) = 0.9998$

$P(x \ge 5) = 1.000$ --- approximated

$(b)\ P(x = 15)$

$n = 15$ --- marketing personnel

$p = 75\%$ --- proportion that are extroverts

So, we have:

$P(x) = ^nC_x * p^x * (1 - p)^{n-x}$

$P(x=15) = ^{15}C_{15} * 0.75^{15} * (1 - 0.75)^{15-15}$

$P(x=15) = 1 * 0.75^{15} * (0.25)^{0$

$P(x=15) = 0.013$

$(c)\ P(x = 0)$

$n=5$ ---------- computer programmers

$p = 70\%$ --- proportion that are introverts

So, we have:

$P(x) = ^nC_x * p^x * (1 - p)^{n-x}$

$P(x = 0) = ^{5}C_0 * (70\%)^0 * (1 - 70\%)^{5-0}$

$P(x = 0) = 1 * 1 * (0.30)^5$

$P(x = 0) = 0.002$

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3 years ago

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4 years ago

I am doing algebra elementry work and need help 7x + 52=2x-13​

I am doing algebra elementry work and need help 7x + 52=2x-13