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3 years ago

Answer two questions please

Mathematics

1 answer:

stepladder [879]3 years ago

6 0

Answer:

3. x = 8

4. lines r and s

Step-by-step explanation:

The angles shown are same side interior angles, so they are supplementary. Their measures add to 180 deg.

5x + 10 + 130 = 180

5x + 140 = 180

5x = 40

x = 8

Lines r and s are cut by a transversal, line l. Angles 3 and 6 are alternate interior angles. Lines r and s are parallel.

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Greg has four different colored cards in a box. Yellow, red, blue, and green. He randomly selects one card, records the color, a

Veronika [31]

Answer:

He should expect to select 75 yellow cards.

Step-by-step explanation:

Since there is replacement, for each trial, we have:

1 yellow card

1 red card

1 blue card

1 green card.

If Greg does this 300 times, how many yellow cards should he expect to select?

Each trial, there are 4 cards, one of which is yellow. So 1/4 = 0.25 probability of selecting a yellow card.

Over 300 trials

0.25*300 = 75

He should expect to select 75 yellow cards.

6 0

3 years ago

Use the quadratic formula to solve x^2 -3x - 5 = 0. Round to two decimal places.

Evgen [1.6K]

Answer:

$\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}$

$x=\frac{3+\sqrt{29}}{2},\:x=\frac{3-\sqrt{29}}{2}$

Step-by-step explanation:

Given the equation

$x^2\:-3x\:-\:5\:=\:0$

solving with the quadratic formula

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}$

$x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\mathrm{For\:}\quad a=1,\:b=-3,\:c=-5$

$x_{1,\:2}=\frac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\cdot \:1\cdot \left(-5\right)}}{2\cdot \:1}$

$x_{1,\:2}=\frac{-\left(-3\right)\pm \sqrt{29}}{2\cdot \:1}$

separating the solutions

$x_1=\frac{-\left(-3\right)+\sqrt{29}}{2\cdot \:1},\:x_2=\frac{-\left(-3\right)-\sqrt{29}}{2\cdot \:1}$

solving

$x=\frac{-\left(-3\right)+\sqrt{29}}{2\cdot \:\:1}$

$=\frac{3+\sqrt{29}}{2\cdot \:1}$

$=\frac{3+\sqrt{29}}{2}$

also solving

$\:x=\frac{-\left(-3\right)-\sqrt{29}}{2\cdot \:\:1}$

$=\frac{3-\sqrt{29}}{2\cdot \:1}$

$=\frac{3-\sqrt{29}}{2}$

$\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}$

$x=\frac{3+\sqrt{29}}{2},\:x=\frac{3-\sqrt{29}}{2}$

7 0

3 years ago

4(2x-1)+2x+2= 28 solve for X

Rina8888 [55]

Answer:

X=3

Step-by-step explanation:

First you can distribute the 4 to 2x-1 making is 8x-4

8x-4+2x+2=28

Now add like terms

8x+2x-4+2=28, 10x-2=28

Add 2 to both sides

10x=30

Divide both sides by 10

x=3

5 0

2 years ago

Read 2 more answers

Luisa reads 2 pages of her book every minute. At this rate, how many hours will it take for her to read 300 pages? (60 minutes =

sergeinik [125]

2 pages per minute
300/2 =150 minutes into hours that is 2 hours and 30 minutes which directly into hours is 2.5 hours

7 0

3 years ago

A pump moves 42 gallons in seven minutes. Find the unite rate

avanturin [10]

Answer:

6 Gallons per min

Step-by-step explanation

Unit rate is a fraction that has a one in the denominator

so you have 42/7 = n/1 so to make 7 a 1 , we divide by 7 . We do the same thing on top 42 divided by 7 is 6.

5 0

4 years ago