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3 years ago

Simplify 9 - 8b + 6b

2 answers:

6 0

Simplifying
9 + -8b + 6b = 0

Combine like terms: -8b + 6b = -2b
9 + -2b = 0

Solving
9 + -2b = 0

Solving for variable 'b'.

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

Add '-9' to each side of the equation.
9 + -9 + -2b = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2b = 0 + -9
-2b = 0 + -9

Combine like terms: 0 + -9 = -9
-2b = -9

Divide each side by '-2'.
b = 4.5

Simplifying
b = 4.5

stiks02 [169]3 years ago

4 0

Answer:

9-2b should be your answer.

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Holding a ruler upright at arm’s distance (24 in.), Ronnie aligned the bottom of the ruler with a mark on the utility pole that

atroni [7]

Answer:

10 feet

Step-by-step explanation:

Drawing obviously not to scale but... Red segment is the ruler, at least the part between 5 and 6 inches, 1 inch long. Brown segment is the pole, ground to the top. Leftmost point is the eye, green line is the horizontal. The triangles are similar (AAA, the vertical lines are parallel), the ratio of the side is the same as the ratio of the heights. The height of the larger triangle (measured across the green line is

$40 yd \times 3\frac{ft}{yd} \times 12\frac{in}{ft}= 1440''$ .

Ratio of the height is then $1440\div24 = 60$ .

At this point the height of the pole is 60 times the length of the measure on the ruler, or 60 inches, that is 5 feet. Add the 5 feet the pole was starting from, it's 10 feet.

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2 years ago

What are the exact solutions of x2 - 5x - 1 = 0?.

borishaifa [10]

$x^2-5x-1=0\\\\a=1;\ b=-5;\ c=-1\\\Delta=b^2-4ac\\\\\Delta=(-5)^2-4\cdot1\cdot(-1)=25+4=29 \ \textgreater \ 0\\\\therefore\\x_1=\dfrac{-b-\sqrt\Delta}{2a}\ and\ \dfrac{-b+\sqrt\Delta}{2a}\\\\x_1=\dfrac{5-\sqrt{29}}{2\cdot1}=\boxed{\dfrac{5-\sqrt{29}}{2}}\\\\x_2=\dfrac{5+\sqrt{29}}{2\cdot1}=\boxed{\dfrac{5+\sqrt{29}}{2}}$

8 0

3 years ago

Read 2 more answers

What is 79 881/1000 as decimal

den301095 [7]

79.881 hope this helps
i might be wrong

6 0

4 years ago

A package of 6 insulated socks cost 49.74 what is the unit price of the pairs of socks

MaRussiya [10]

Answer:

8.29

Step-by-step explanation:

49.74 divided by 6 = 8.29

To check: 8.29 x 6 = 49.74

Hope this helped. Feel free to ask questions!

4 0

3 years ago

A professor wants to estimate how many hours per week students study. A simple random sample of 78 students had a mean of 15.0 h

OleMash [197]

Answer:

interval=(15.085,14.9515)

Step-by-step explanation:

Table:

CI Z

85% 1.440

90% 1.645

95% 1.960

In order to find the interval/estimate of hours per week students study we consider the formula given below:

Interval=X± $\frac{Z*S}{\sqrt{n} }$

where:

X is the mean hours

Z is the value from Z distribution table of Confidence Interval

n is the sample size of students

S is the standard deviation

X=15, Z=1.645, S=2.3hours, n=78

Interval=15± $1.645*2.3/\sqrt{78}$

Interval=15±0.0485

interval=(15.085,14.9515)

7 0

3 years ago