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3 years ago

A pack of cinnamon-scented pencils sells for $5.00. What is the sales tax rate if the total cost of the pencils is $5.20?

1 answer:

3 0

Calculate the percentage increase,work out the difference (increase) between the two numbers you are comparing. Then divide the increase by the original number and multiply the answer by 100.

520-500 = 20
20÷500 =.04
.04 ×100= 4%

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A particular shade of paint is made by mixing 5 parts red paint with 7 parts blue paint. To make this shade, Shannon mixed 12 qu

Shtirlitz [24]

Shannon did not mix the correct shade. Cause the correct ratio of blue and red is 7:5. While Shannon mix 12:8=3:2 which is not equal to 7:5.

3 0

2 years ago

Alex types 3 pages in the same amount of time that Erica types 4.5 pages. If Alex and Erica start typing at the same time, how m

Archy [21]

Answer:

12.5

Step-by-step explanation:

4.5 - 3 = 1.5, so 11 + 1.5 = 12.5

7 0

2 years ago

Identify the factors of x2 + 16y2.

BabaBlast [244]

The way to find the factores is by seeking the polonomial's roots, or zeros!

To find the roots, we set the polinomial equation to zero:

x^2+16y^2=0

Then we solve this equation:

x^2=-16y^2

This is only true, if x=y=0.

3 0

2 years ago

Read 2 more answers

See attachment below

KatRina [158]

Answer: Third Option

$x=1.469743$

Step-by-step explanation:

We have the following exponential equation

$3^{x+1}=15$

We must solve the equation for the variable x

To clear the variable x apply the $log_3$ function on both sides of the equation

$log_3(3^{x+1})=log_3(15)$

Simplifying we get the following:

$x+1=log_3(15)$

To simplify the expression $log_3 (15)$ we apply the base change property

$log_b(y)=\frac{log(y)}{log(b)}$

This means that:

$log_3 (15)=\frac{log(15)}{log(3)}$

Then:

$x+1=\frac{log(15)}{log(3)}$

$x=\frac{log(15)}{log(3)}-1$

$x=1.469743$

6 0

2 years ago

In each of the following scenarios, determine if the data are paired.

zmey [24]

Answer:

1. Can be Paired or Not Paired

2. Paired

3. Not Paired

Step-by-step explanation:

Two sets of observations are paired if each observation in one set has a special correspondence or connection with exactly one observation in the other data set.

1. Can be Paired or Not paired

Reason -

We might look at testing the difference of means using a two sample t-test. However, we may also try running a paired t-test.

But its used in cases where the observations are usually from the same populations at different times or through different sources etc.

Hence can't conclude that it is paired or not paired.

2. Paired

Reason -

Each record is a price of the same item from different stores.

3. Not paired

Reason -

This is again a case of testing the difference of means of two-samples (2 independent samples precisely) that are not paired.

5 0

2 years ago