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3 years ago

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Mathematics

1 answer:

eimsori [14]3 years ago

5 0

Answer:

your answer is 4

Step-by-step explanation:

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Marcus has $28 to spend. He spent $3.75 to buy a notebook. He needs to save $11.25 but he wants to buy a snack. Chips cost $1.30

Alborosie

Total money Marcus has = $28

Money spent to buy a notebook = $3.75

Money left now = $28-3.75=24.25$

Money needed to be saved = $11.25

So, the amount of money Marcus can spend = $24.25-11.25=13$

Cost of a packet of chips = $1.30

The inequality to determine the maximum number of chips he can buy is:

Let the number of chips Marcus can buy = x

As he cannot spend more than $13 to buy chips so equation becomes:

$1.30x\leq 13$

Solving this we get

$x\leq 10$

Hence, Marcus can buy a maximum of 10 packs of chips and save $11.25

4 0

3 years ago

The table below represents a linear function f(x) and the equation represents a function g(x):

Elza [17]

Answer:

(a) The slope of f(x) is greater than the slope of g(x)

(b) f(x) has a greater y intercept

Step-by-step explanation:

Given

$\begin{array}{cc}x & {f(x)} & -1&-9&0&-1&1&7 \ \end{array}$

$g(x) = 3x - 2$

Solving (a): Compare the slopes

The slope (m) of f(x) is calculated as;

$m = \frac{f(x_2) - f(x_1)}{x_2 - x_1}$

This gives:

$m = \frac{f(0) - f(1)}{0 - 1}$

$m = \frac{f(0) - f(1)}{- 1}$

Substitute values for f(0) and f(1)

$m = \frac{-1 - 7}{- 1}$

$m = \frac{-8}{- 1}$

$m = 8$

The slope of g(x) can be gotten using the following comparison

$g(x) = mx + b$

$m \to slope$

So:

$g(x) = 3x -2$

$m = 3$

$m_{f(x)} > m_{g(x)}$

Solving (b): Compare the y intercept

y intercept is when $x = 0$

From the table of f(x)

$f(0) = -1$

From the equation of g(x)

$g(x) = 3x -2$

$g(0) = 3*0-2$

$g(0) =-2$

$f(0) > g(0)$

6 0

3 years ago

What's formula for radio

Wittaler [7]

What the heck are you saying? I think you need you fix the question

6 0

3 years ago

A person's Body Mass Index (BMI) is a measure of the mount of fat in their body. The relationship between antioxidant food consu

loris [4]

Answer:

Check explanation

Step-by-step explanation:

Given:

y = -0.1x + 22

Where,

y = BMI of an individual

x = antioxidant food consumption per day in cups

Equation of a slope

y = mx + c

Where,

m = slope

c = y - intercept

Therefore,

From the equation

y = -0.1x + 22

slope, m = -0.1

y - intercept, c = 22

4 0

3 years ago

A student wants to estimate the mean score of all college students for a particular exam. First use the range rule of thumb to m

Wewaii [24]

Answer:

See explanation below

Step-by-step explanation:

range = 2200 - 300 = 1900

To find standard deviation, we have:

standard deviation = range/4 = $\frac{1900}{4}$ = 475

The range rule of thumb estimate for the standard deviation is 475

Given:

Standard deviation, $\sigma$ = 475

Margin of Error, ME = 100

$\alpha$ = 1 - 0.90 = 0.10

Za/2 = Z0.05 = 1.64

Find sample size, n:

n ≥ $[Z_\alpha_/_2 * (\frac{\sigma}{ME})]^2$

n ≥ $[1.64 * (\frac{475}{100})]^2$

n ≥ 60.68

≈ 61

Minimun sample size,n = 61

5 0

3 years ago