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3 years ago

Solving the equation 2x+3(3x-5)=51 for x gives x = 6 what is the complete solution

Mathematics

2 answers:

lesya [120]3 years ago

7 0

Answer:

Step-by-step explanation:

$2x+3(3x-5)=51 \\x = 6\\2x +9x-15 =51\\11x =51+15\\11x = 66\\\frac{11x}{11} =\frac{66}{11} \\x = 6$

denis23 [38]3 years ago

4 0

Answer:

x = 6

Step-by-step explanation:

2x + 3(3x - 5) = 51

Expand the brackets.

2x + 9x - 15 = 51

Add like terms.

11x - 15 = 51

Add 15 on both sides.

11x = 51 + 15

11x = 66

Divide both sides by 11.

x = 66/11

x = 6

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What is the equation 22-2h=-5?

Marrrta [24]

Answer:

h = -9

Step-by-step explanation:

Simplifying

5h + 22 + -2h = -5

Reorder the terms:

22 + 5h + -2h = -5

Combine like terms: 5h + -2h = 3h

22 + 3h = -5

Solving

22 + 3h = -5

Solving for variable 'h'.

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

Add '-22' to each side of the equation.

22 + -22 + 3h = -5 + -22

Combine like terms: 22 + -22 = 0

0 + 3h = -5 + -22

3h = -5 + -22

Combine like terms: -5 + -22 = -27

3h = -27

Divide each side by '3'.

h = -9

Simplifying

h = -9

4 0

3 years ago

When making a fruit salad, a chef chooses 7 fruits from 10 that are in season. how many different fruit salads can the chef crea

Furkat [3]

For this example, we must combine not permutate; this because a salad in which you first use apple then tomato is the same as the one in which you use first tomato then apple, so order does not matter.

Me must do "10 combine 7" which is written by the binomial coefficient $(_{7} ^{10})$ ; in general a binomial coefficient is written by:
$(_{k} ^{n})= \frac{n!}{k!(n-k)!}$

In which $n$ and $k$ are positive integers, such that $n\ \textgreater \ k$ .

So, for this problem:
$(_{7} ^{10})= \frac{10!}{7!(10-7)!}=\frac{10!}{7!3!}= \frac{10*9*8}{3*2}=10*3*4=120$

Hence, there are 120 different ways to make the fruit salad.

5 0

3 years ago

Whats the answer plz??

Snezhnost [94]

Answer:

Step-by-step explanation:

Absolute Value is the distance from 0, so when you have -|22| that means its the absolute value of 22 then add the negative sign so that means it's further from 0 than |-22|.

I hope this will help.

5 0

3 years ago

Point: (-3, 7); Slope: 4

GaryK [48]

Answer:

y - 7 = 4(x + 3)

Step-by-step explanation:

Write the equation of a line using the point slope formula. Substitute m = 4 and the point (-3,7) in the formula.

$y - y_1 = m(x-x_1)\\y - 7 = 4(x--3)\\y - 7 = 4(x+3)$

6 0

3 years ago

A gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than

Neko [114]

Answer:

The probability that no more than 70% would prefer to start their own business is 0.1423.

Step-by-step explanation:

We are given that a Gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than work for someone else.

Let $\hat p$ = sample proportion of people who prefer to start their own business

The z-score probability distribution for the sample proportion is given by;

Z = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, p = population proportion who would prefer to start their own business = 72%

n = sample of 18-29 year-olds = 600

Now, the probability that no more than 70% would prefer to start their own business is given by = P( $\hat p$ $\leq$ 70%)

P( $\hat p$ $\leq$ 70%) = P( $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ $\leq$ $\frac{0.70-0.72}{\sqrt{\frac{0.70(1-0.70)}{600} } }$ ) = P(Z $\leq$ -1.07) = 1 - P(Z < 1.07)

= 1 - 0.8577 = 0.1423

The above probability is calculated by looking at the value of x = 1.07 in the z table which has an area of 0.8577.

3 0

3 years ago