Divide . 1 1/2 by 2 1/2

-4r-11=4r+21 pls help <br>

Masja [62]

-4r-11=4r+21

Move 4r to the other side

Sign changes from +4r to -4r

-4r-4r-11=4r-4r+21

-4r-4r-11=21

-8r-11=21

Move -11 to the other side

Sign changes from -11 to +11

-8r-11+11=21+11

-8r=21+11

-8r=32

Divide both sides by -8

-8r/-8=32/-8

Answer: r=-4

8 0

3 years ago

Read 2 more answers

Which table has greater constant of proportionality?

marissa [1.9K]

The table with greater proportionality is table 3.

<h3>What is constant proportionality?</h3>

The constant of proportionality is the ratio between two directly proportional quantities.

As, the constant proportionality is

k= y/x

For table 1,

k = 1/1 = 2/2 =1

For table 2,

k = 6/1= 12/2 = 2

For table 3,

k = 5/1 = 10/2 = 5

For table 4,

k = 4/1 = 8/2 = 4

Hence, table 3 is with greater proportionality.

Learn more about this constant of proportionality here:

brainly.com/question/8598338

#SPJ1

8 0

2 years ago

Solve the equation. \dfrac18 + c = \dfrac45 8 1 +c= 5 4 start fraction, 1, divided by, 8, end fraction, plus, c, equals, sta

aivan3 [116]

Answer:

$c=\dfrac{27}{40}\\$

Step-by-step explanation:

We are required to solve for c in the equation: $\dfrac{1}{8}+c= \dfrac{4}{5}$

Step 1: Collect like terms

$\dfrac{1}{8}+c= \dfrac{4}{5}\\c= \dfrac{4}{5}-\dfrac{1}{8}$

Step 2: Find the Lowest Common Multiple of the denominators

LCM of 8 and 5 is 40

Step 3: Multiply all through by 40

$40c= \dfrac{4}{5}*40-\dfrac{1}{8}*40$

Step 4: Simplify

40c=32-5

40c=27

Step 5: Divide both sides by 40 and simplify if possible.

$c=\dfrac{27}{40}\\$

4 0

3 years ago

Which graph shows the solution set of <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx-1%7D%7Bx-3%7D%20%5C%20%20%5Ctextless%20%5C%2

forsale [732]

Answer:

Step-by-step explanation:

f(x) = (x - 1)/(x - 3) < 0

The critical points are x = 1 and x = 3

When x < 1, f(x) > 0

When 1 < x < 3, f(x) < 0

When x > 3, f(x) > 0

Note when x = 3 f(x) has no value and when x = 1 f(x) = 0.

I can't see all the graphs very well but there should be a red line between 1 and 3 with a clear circle on x = 1 and x = 3.

Looks like its the last choice.

7 0

2 years ago

The following data on average daily hotel room rate and amount spent on entertainment (The Wall Street Journal, August 18, 2011)

Zielflug [23.3K]

Answer:

a. Predicted Amount = $109.46

b. Confidence Interval = (94.84,124.08)

c. Interval = (110.6883,188.8517)

Step-by-step explanation:

Given

ŷ = 17.49 + 1.0334x.

SSE = 1541.4

a.

ŷ = 17.49 + 1.0334(89)

ŷ = 109.4626

ŷ = 109.46 --- Approximated

Predicted Amount = $109.46

b.

ŷ = 17.49 + 1.0334(89)

ŷ = 109.4626

ŷ = 109.46

First we calculate the standard deviation

variance = SSE/(n-2)

v = 1541.4/(9-2)

v = 1541.4/7

v = 220.2

s = √v

s = √220.2

s = 14.839

Then we calculate mean(x) and ∑(x - (mean(x))²

X --- Y -- Mean(x) --- ∑(x - (mean(x))²

148 -- 161 -- 43-- 1849

96 || 105|| -9 || 81

91 ||101 || -14 || 196

110 || 142 || 5 || 25

90 || 100 || -15 || 225

102 || ||120 ||-3|| 9

136 || 167 ||31 ||961

90 || 140 ||-15 ||225

82 || 98 ||-23 || 529

Sum 945 || 1134|| 0 ||4100

Mean (x) = 945/9 = 105

∑(x - (mean(x))² = 4100

α = 1 - 95% = 5%

α/2 = 2.5% = 0.025

tα,df = n − 2 = t0.025,7 =2.365

Confidence interval = 109.46 ± 2.365 * 14.839 √((1/9)+ (89-105)²/4100

Confidence Interval = (109.46 ± 14.62)

Confidence Interval = (94.84,124.08)

c.

ŷ = 17.49 + 1.0334(128)

ŷ = 149.7652

ŷ = 149.77

Interval = 149.77 ± 2.365 * 14.839 √((1/9)+ (128-105)²/4100

Interval = 149.77 ± 39.0817

Interval = (110.6883,188.8517)

3 0

3 years ago