A rectangle has a length of n units its width is 6 unit less its length what is the area of the rectangle

I don't get this problem. Lila decided to make kore baked goods for the bake sale. She used 1 / 8 lb less flour to make bread th

Anvisha [2.4K]

Start by taking the information we know, and write equations to represent the realationships:

1) "1/8 lbs less flour to make bread than to make cookies"
$b=c-\frac{1}{8}$

2) "1/4 lb more flour to make cookies than to make brownies:
$c=w+\frac{1}{4}$

3) "she used 1/2 lb of flour ro make bread"
$b = \frac{1}{2}$

From here you can solve for $w$ using back substitution.

7 0

2 years ago

Find all missing angles

AleksandrR [38]

Answer:

a = 145

b = 35

c = 145

d = 70

e = 70

f = 110

g = 55

h = 125

i = 55

j = 50

k = 70

l =110

m = 50

n = 60

o = 70

p = 23

q = 89

r = 68

s = 157

t = 112

u = 48

v = 132

w = 132

x = 48

y = 48

z = 132

A = 48

B = 94

C = 86

D = 94

E = 47

F = 133

Step-by-step explanation:

I'm fairly certain these are all correct... like 82% sure

3 0

2 years ago

What is the expectation for a binomial distribution with p = 0.5 and n = 8?

Natasha2012 [34]

Answer: 4

Step-by-step explanation:

Given the following :

P = probability of success = 0.5

n = number of trials = 8

The expected value of a binomial distribution with probability of success P and number of trials n is defined by:

E(n, p) = n * p

Therefore, expected value when P = 0.5 and n = 8

E(8, 0.5) = 8 × 0.5

= 4

The expected value of the binomial distribution is 4

8 0

3 years ago

The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price

likoan [24]

Answer:

A) 3%

B) Product A

Step-by-step explanation:

Exponential Function

General form of an exponential function: $y=ab^x$

where:

a is the initial value (y-intercept)
b is the base (growth/decay factor) in decimal form
x is the independent variable
y is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

Part A

Product A

Assuming the function for Product A is exponential:

$f(x) = 0.69(1.03)^x$

The base (b) is 1.03. As b > 1 then it is an increasing function.

To calculate the percentage increase/decrease, subtract 1 from the base:

⇒ 1.03 - 1 = 0.03 = 3%

Therefore, product A is increasing by 3% each year.

Part B

$\sf percentage\:change=\dfrac{final\:value-initial\:value}{initial\:value} \times 100$

To calculate the percentage change in Product B, use the percentage change formula with two consecutive values of f(t) from the given table:

$\implies \sf percentage\:change=\dfrac{10201-10100}{10100}\times 100=1\%$

Check using different two consecutive values of f(t):

$\implies \sf percentage\:change=\dfrac{10303.01-10201}{10201}\times 100=1\%$

Therefore, as 3% > 1%, Product A recorded a greater percentage change in price over the previous year.

Although the question has not asked, we can use the given information to easily create an exponential function for Product B.

Given:

a = 10,100
b = 1.01
n = t - 1 (as the initial value is for t = 1 not t = 0)

$\implies f(t) = 10100(1.01)^{t-1}$

To check this, substitute the values of t for 1 through 4 into the found function:

$\implies f(1) = 10100(1.01)^{1-1}=10100$

$\implies f(2) = 10100(1.01)^{2-1}=10201$

$\implies f(3) = 10100(1.01)^{3-1}=10303.01$

$\implies f(4) = 10100(1.01)^{4-1}=10406.04$

As these values match the values in the given table, this confirms that the found function for Product B is correct and that Product B increases by 1% per year.

4 0

2 years ago

What is 5⅜ - 3⁸/⁹ ?

lesya692 [45]

Answer:

1 35/72

Step-by-step explanation:

7 0

3 years ago