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3 years ago

Solve for x -25x+175>225 and 5x-83>-73

Mathematics

1 answer:

Kay [80]3 years ago

3 0

Answer:

<h2>NO SOLUTION</h2>

Step-by-step explanation:

$-25x+175>225\ \wedge\ 5x-83>-73\\---------------\\-25x+175>225\qquad\text{subtract 175 from both sides}\\\\-25x>50\qquad\text{change the signs}\\\\25x10\qquad\text{divide both sides by 5}\\\\\boxed{x>2}\\\\\text{We have}\ x2,\\ \text{therefore this system of inequalities have no solution.}$

$\text{We have inequalities connected by the word "and"},\\\text{ therefore x must be the solution of both the first}\\\text{ and the second inequality.}$

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Step-by-step explanation:

absolute value is just the number without the negative sign if there is one.

11.5>9.5 always.

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3 years ago

Celia is 2 times Jacque’s age now. Celia was 6 times Jacque’s age 9 years ago. What system of equations can be solved to find th

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3 years ago

Brian ate 2/3 of a pizza. His friend, Joseph, ate 1/4 of what was left. How much pizza did Joseph eat?

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3 years ago

A gift shop owner bought fifty vases for $210. she sells seven vases for what she paid for ten originally. what profit does she

Slav-nsk [51]

The profit earned by the gift shop owner on fifty vases will be $ 91.07.

<h3>What is profit?</h3>

The amount of money earned by any seller on the cost price is called the profit. It is given that A gift shop owner bought fifty vases for $210. she sells seven vases for what she paid for ten originally.

The profit will be calculated as we will create the expressions for all the selling and purchasing given in the question.

The total cost price of vases:-

50 vases = $210

1 Vase = 210 / 50 = 4.25

So 10 vases will be purchased at the price of:-

10 Vase = 4.25 x 10 = 42.5

Now from the question of the amount he paid for 10 vases, he gained it by selling 7 vases.

7 Vase = 42.5

1 Vase = 42.5 / 7 = 6.07

So he sold one vase for $6.07 and purchased it at $4.25.

The profit will be = 6.07 - 4.25 = 1.821

So profit for selling 50 vases will be:-

Profit = 50 x 1.821 = $91.07

Therefore profit earned by the gift shop owner on fifty vases will be $ 91.07.

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2 years ago

In a certain breed of cattle, the length of gestation has a mean of 284 days and a standard deviation is 5.5 days. One length of

Alenkinab [10]

Answer:

The statement that best interprets the z-score is;

D. The length of the gestation period was shorter than the mean length of gestation period by 1.7 standard deviations

Step-by-step explanation:

The given parameters are;

The length of the gestation period of the cattle breed = 284 days

The standard deviation = 5.5 days

The z-score of one length of gestation period was z = -1.70

The formula for finding the z-score, z is presented as follows

$Z=\dfrac{x-\mu }{\sigma }$

Where;

x = The observed value for the gestation period

μ = The sample mean length for the gestation period = 284

σ = The gestation period standard deviation = 5.5

When Z = -1.70, we have;

$-1.70 =\dfrac{x-\mu }{\sigma }$

∴ x - μ = -1.7 × σ

∴ x is shorter than μ by 1.7×σ

Therefore, the length of the gestation period, x, was shorter than the mean length of gestation period, μ, by 1.7 standard deviations, σ.

8 0

3 years ago

Read 2 more answers