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3 years ago

8. Jenny is getting dressed for school,

Mathematics

1 answer:

UkoKoshka [18]3 years ago

8 0

Answer:

$\huge\boxed{\bf\: Probability = \frac{4}{9}}$

Step-by-step explanation:

According to the given information,

Pairs of black pants = 2
Pair of brown pants = 1
Pairs of blue pants = 2

Then, total pairs of pants = 2 + 1 + 2 = 5

Similarly,

Pink T-shirts = 2
Blue T-shirts = 2

Then, total number of T-shirts = 4

This gives us the total nunber of clothing articles with Jenny, i.e.,

Total pairs of pants + Total number of T-shirts

= 5 + 4

= 9

Now, the probability of pulling out a pair of black pants & a blue T-shirt will be:

Total pairs of black pants + Total nunber of blue T-shirts/Total clothing articles

= 2 + 2 / 9

= 4/9

$\rule{150}{2}$

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Please help!! What is the solution to the quadratic inequality? 6x2≥10+11x

fredd [130]

Answer:

The solution of the inequation $6\cdot x^{2} \geq 10 + 11\cdot x$ is $\left(-\infty,-\frac{2}{3}\right]\cup\left[\frac{5}{2},+\infty\right)$ .

Step-by-step explanation:

First of all, let simplify and factorize the resulting polynomial:

$6\cdot x^{2} \geq 10 + 11\cdot x$

$6\cdot x^{2}-11\cdot x -10 \geq 0$

$6\cdot \left(x^{2}-\frac{11}{6}\cdot x -\frac{10}{6} \right)\geq 0$

Roots are found by Quadratic Formula:

$r_{1,2} = \frac{\left[-\left(-\frac{11}{6}\right)\pm \sqrt{\left(-\frac{11}{6} \right)^{2}-4\cdot (1)\cdot \left(-\frac{10}{6} \right)} \right]}{2\cdot (1)}$

$r_{1} = \frac{5}{2}$ and $r_{2} = -\frac{2}{3}$

Then, the factorized form of the inequation is:

$6\cdot \left(x-\frac{5}{2}\right)\cdot \left(x+\frac{2}{3} \right)\geq 0$

By Real Algebra, there are two condition that fulfill the inequation:

a) $x-\frac{5}{2} \geq 0 \,\wedge\,x+\frac{2}{3}\geq 0$

$x \geq \frac{5}{2}\,\wedge\,x \geq-\frac{2}{3}$

$x \geq \frac{5}{2}$

b) $x-\frac{5}{2} \leq 0 \,\wedge\,x+\frac{2}{3}\leq 0$

$x \leq \frac{5}{2}\,\wedge\,x\leq-\frac{2}{3}$

$x\leq -\frac{2}{3}$

The solution of the inequation $6\cdot x^{2} \geq 10 + 11\cdot x$ is $\left(-\infty,-\frac{2}{3}\right]\cup\left[\frac{5}{2},+\infty\right)$ .

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4 years ago

a board game that normally costs $30is on sale for 25 percent off. what is the sale price of the game

telo118 [61]

Answer:

22.5

Step-by-step explanation:

Hey there! first, we find 25% of 30 which equals 7.5 then we subtract 30 - 7.5 which is 22.5

8 0

3 years ago

Read 2 more answers

Mr. Barber uses 7/9 yard of wire to put up a ceiling fan. He uses 1/3 yard of wire to fix a switch How much more wire does he us

Oliga [24]

1/3 is the same as 3/9. To solve this, subtract 3/9 from 7/9.

$\frac{7}{9}-\frac{3}{9}= \frac{4}{9}$

Your answer is $\frac{4}{9}$

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3 years ago

Last month you spent $20 on clothing. This month you spent 180% of what you spent last month. How much did you spend this month?

frutty [35]

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3 years ago

Grayson works in a department store selling clothing. He makes a guaranteed salary

MrRissso [65]

Step-by-step explanation:

a) $350 per week

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For $925 in sales, commission is

20/100 × 925 = $185

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20/100 × x = 1/5 × x = x/5 or 0.2x

Total earnings = $350 + $ x/5 or $350 + $0.2x

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3 years ago