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After finishing the prep work, Gilberta and María start removing wallpaper at the same time. Gilberta removes the paper at a con

Alexxx [7]

Using linear functions, the inequality that represents when Gilberta has more wallpaper left in her room than María has in hers is: t < 5.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For this problem, we consider:

The initial amount as the y-intercept.

The rate as the slope.

Hence the amounts Gilberta and Maria have left after t hours are given by:

G(t) = 35 - 4.3t.

M(t) = 30.5 - 3.4t.

Gilberta has more papers when:

G(t) > M(t).

Hence:

35 - 4.3t > 30.5 - 3.4t

-0.9t < -4.5

Multiplying by -1:

0.9t < 4.5

t < 4.5/0.9

t < 5.

Hence the inequality is:

t < 5.

More can be learned about linear functions at brainly.com/question/24808124

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4 0

2 years ago

Find 2 consecutive even numbers such that the sum of the

Elena L [17]

Answer:

14,16

Step-by-step explanation:

Let x be the first even number.

Let y be the 2nd even number.

Given, y - x = 2 (Since they are 2 consecutive even numbers.)

rearranging the equation: y = x+2 (equation 1)

Also given,

$y+2x=44\\$ (equation 2)

Now we can substitute equation 1 into equation 2 to find x.

$x+2+2x = 44\\3x+2 = 44\\3x = 44-2\\3x=42\\x = \frac{42}{3} \\x = 14$

Given the smaller even number x, is 14, we will substitute x into equation1 to find y, the bigger even number.

y = 14+2

= 16

Therefore the 2 numbers are 14 and 16.

6 0

2 years ago

Read 2 more answers

Lavel the vertex and axis of symmetry

Lostsunrise [7]

The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves. The axis of symmetry always passes through the vertex of the parabola. The xx -coordinate of the vertex is the equation of the axis of symmetry of the parabola.

3 0

3 years ago

What is the quotient 6,559÷23

tekilochka [14]

Answer:

285.1739

Step-by-step explanation:

7 0

3 years ago

An investigator compares the durability of two different compounds used in the manufacture of a certain automobile brake lining.

jeka94

Answer:

The point estimate is 5,617.

The margin of error of a confidence interval for the difference between the two population means is 454.18386 .

The 98% confidence interval for the difference between the two population means is (5163, 6071).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Compound 1:

127 brakes, average brake life of 42,814 miles, population standard deviation of 1819 miles. This means that:

$\mu_1 = 42814$