All categories

2 years ago

How do I solve this???

Mathematics

2 answers:

vesna_86 [32]2 years ago

6 0

-5x - 3(-4x - 9) = 83
Add 5x to both sides
-3(-4x-9) = 83 + 5x
Divide by -3
-4x-9 = 83/3 + 5/3x
Subtract 5/3x
-4x -5/3x -9 = 83/3
Add 9
-17/3x = 110/3
Multiply by 3
-17x = 110
Divide by -17
X = 6 and 8/17

zaharov [31]2 years ago

4 0

-5x-3(-4x -9)= 83

Distribute.

-5x+12x+27= 83 (two negatives equal a positive)

Combine like terms.

7x+27= 83

Subtract 27 from both sides.

7x= 56

Divide 7 into both sides.

x=8

I hope this helps!
~kaikers

You might be interested in

Pls help with alg II dying

Vsevolod [243]

What are the options they have given?

7 0

1 year ago

Keith is saving money for a car. He has saved the same amount each year for the past three years, and records how much he has at

noname [10]

Answer:

Keith's unit rate of change of dollars with respect to time is $1500.

Step-by-step explanation:

It is given that Keith is saving money for a car.

Year 1: 1500

year 2: 3000

year 3: 4500

Let y be the saved amount after x year.

The coordinate pairs according to the given table are (1,1500), (2,3000) and (3,4500).

The formula for rate of change is

Consider any two coordinate pairs.

Let as consider (1,1500) and (2,3000). So, Keith's unit rate of change of dollars with respect to time is

Therefore, Keith's unit rate of change of dollars with respect to time is $1500.

8 0

2 years ago

Amelia enjoys running and often runs at a steady pace. At this pace, Amelia can run 50 yards in 12 seconds. What is Amelia's uni

valentinak56 [21]

Answer:

4.16

Step-by-step explanation:

50/12

7 0

2 years ago

A textile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 ki

shepuryov [24]

Answer

given,

mean = 12 Kg

standard deviation = 0.5 Kg

assume the observed statistic is = 11.1

now, $\bar{X}=11.1 , \mu = 12 , \sigma = 0.5$

assuming the number of sample = 4

n = 4

Hypothesis test:

H₀ : μ≥ 12

Ha : μ < 12

now,

significant level α = 0.05

$z* = \dfrac{\bar{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

$z* = \dfrac{11.1-12}{\dfrac{0.5}{\sqrt{4}}}$

z* = -3.60

Test statistics, Z* = -3.60

P-value

P(Z<-3.60) = 0.002 (from z- table)

P- value = 0.002

now,

reject the value of H₀ when P-value < α

0.002 < 0.05

since, it is less P-value < α , we have to reject the null hypothesis

5 0

2 years ago

Which ordered pairs are solutions to the inequality 3x-4y>5

Sloan [31]

Note: you did not provide the answer options, so I am, in general, solving this query to solve your concept, which anyways would clear your concept.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the inequality

$3x-4y>5$

All we need is to find any random value of 'x' and then solve the inequality.

For example, putting x=3

$3\left(3\right)-4y>5$

$9-4y>5$

$-4y>-4$

$\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}$

$\left(-4y\right)\left(-1\right)$

$4y$

$\mathrm{Divide\:both\:sides\:by\:}4$

$\frac{4y}{4}$

$y$

So, at x = 3, the calculation shows that the value of y must be less

than 1 i.e. y<1 in order to be the solution.

Let us take the random y value that is less than 1.

As y=0.9 < 1

so putting y=0.9 in the inequality

$3\left(3\right)-4\left(0.9\right)$

$=9-3.6$

$=5.4$

As 5.4 > 5

Means at x=3, and y=0.9, the inequality is satisfied.

Thus, (3, 0.9) is one of the many ordered pairs solutions to the inequality 3x-4y>5.

6 0

2 years ago