All categories

3 years ago

What are the steps to solving this problem? (how do you solve for b)

Mathematics

2 answers:

vampirchik [111]3 years ago

5 0

Answer:

-4/11

Step-by-step explanation:

This cannot be a positive number because 1*-11=-11. This means all positive numbers will not work. It can't be more than less than -1 because -1*-11= 11. -4/11*-11=4

Sauron [17]3 years ago

4 0

Answer:

b = -(4/11)

Step-by-step explanation:

-11b = 4

Division Property of Equality

b = -(4/11)

There’s not really any other way to explain it other than you divide both sides by -11.

You might be interested in

Please help ASAP ASAP asap

RoseWind [281]

The answer is 7 R 4! hoped this helps!

4 0

3 years ago

The length of a rectangle is five times its width.

Vera_Pavlovna [14]

Answer:

Step-by-step explanation:

l = 5w

A = l*w

180 = 5w *w

180 = 5w^2

Divide each side by 5

180/5 = 5w^2 /5

36 = w^2

Taking the square root of each side

sqrt(36) = sqrt(w)^2

6 =w

l = 5w = 5*6 = 30

The perimeter is

P = 2(l+w)

P = 2(6+30) = 2(36) = 72

4 0

3 years ago

Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all

posledela

This question is Incomplete

Complete Question

Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all have the same body size in their adult phase, which made it easy to measure speeds in units of body lengths per second (bl/s). The researchers found that, when traffic is light and not congested, ant speeds vary roughly Normally, with mean 6.20 bl/s and standard deviation 1.58 bl/s. (a) What is the probability that an ant's speed in light traffic is faster than 5 bl/s? You may find Table B useful. (Enter your answer rounded to four decimal places.)

Answer:

0.7762

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

Population mean = 6.20 bl/s

Standard deviation = 1.58 bl/s.

x = 5 bl/s

z = 5 - 6.20/1.58

z = -0.75949

The probability that an ant's speed in light traffic is faster than 5 bl/s is P( x > 5)

Probability value from Z-Table:

P(x<5) = 0.22378

P(x>5) = 1 - P(x<5)

= 1 - 22378

= 0.77622

Approximately to 4 decimal places = 0.7762

The probability that an ant's speed in light traffic is faster than 5 bl/s is 0.7762

5 0

3 years ago

I bought a carpet for my bedroom. The length of the carpet was 6 ft. The width was 12 ft. How many square feet is my carpet?

8090 [49]

72 square feet

EXPLANATION: when finding area of a rectangle, multiple Length x Width and 6x12=72

5 0

3 years ago

The office manager of a small office ordered 140 packs of printer paper based on average daily use, she knows that the paper wil

Mandarinka [93]

slope intercept form is y=mx+b

So slope intercept form is The office manager of a small office ordered 140 packs of printer paper based on average daily use, she knows that the paper will last about 80 days

(A) Lets make a table

X axis represents the Number of days paper used

y axis represents the packs of printer paper used

x y

days packs of printer paper used

0 0 (0 days , 0 packs used)

80 140 (in 80 days , 140 packs paper used)

The graph is attached below

(B) To find Equation of a line we use points (0,0) and (80,140)

$slope = \frac{y_2-y_1}{x_2-x_1} = \frac{140-0}{80-0} = \frac{7}{4}$

y intecept is (0,0)

so b= 4

Slope intercept form of a line i y=mx + b

m is the slope and b is the y intercept

So slope intercept form of line becomes

$y= \frac{7}{4} x$

Standard form is Ax + By =C

$y= \frac{7}{4} x$

Multiply both sides by 4

4y = 7x

Now subtract 7x on both sides

-7x + 4y =0 is the standard form

$y= \frac{7}{4} x$

$y= \frac{7}{4}(30)= 52.5$

Total 140 packs of printer paper

52.5 packs of paper used

Packs of paper remaining after 30 days = 140- 52.5= 87.5

8 0

3 years ago