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Scorpion4ik [409]
3 years ago
12

It takes you 0.8 of a minute to read each page of your health book. it takes you 5.5 minutes to take the test at the end. how lo

ng will it take you to read 6.25 pages and also take the test?
Mathematics
2 answers:
QveST [7]3 years ago
6 0
First, make an expression      0.8x + 5.5
 Plug in the values                0.8(6.25) +5.5
Solve                                    5 + 5.5
Simplify                                10.5

It will take you 10.5 minutes to read 6.25 pages and take the test.
o-na [289]3 years ago
5 0

Answer: 10.5 minutes

Step-by-step explanation:

Given: Time taken to read each page of health book = 0.8 minutes

Time taken to take the test at the end = 5.5 minutes

Let x be the number of pages of book to read, then time taken to read pages and take the test is given by :-

T(x)=0.8x+5.5

If we read 6.25 pages, then time taken to read 6.25 pages and take the test is given by :-

T(6.25)=0.8(6.25)+5.5=5+5.5=10.5\ minutes

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Type the correct answer in each box. If necessary, round your answers to the nearest hundredth.
disa [49]

Answer:

Perimeter = 32.44 units

Area = 30 square units

Step-by-step explanation:

Given

Vertices

A(2,8), B(16,2) and C(6,2)

WE have to determine the lengths of all sides before finding the perimeter and area.

The formula of modulus is:

d = \sqrt{(x_{2}- x_{1})^{2} +(y_{2}-y_{1})^{2}}\\AB=\sqrt{(16-2)^{2} +(2-8)^{2}}\\=\sqrt{(14)^{2} +(-6)^{2}}\\=\sqrt{196+36}\\ =\sqrt{232}\\=15.23\\\\BC=\sqrt{(6-16)^{2} +(2-2)^{2}}\\=\sqrt{(-10)^{2} +(0)^{2}}\\=\sqrt{100+0}\\ =\sqrt{100}\\=10\\\\AC=\sqrt{(6-2)^{2} +(2-8)^{2}}\\=\sqrt{(4)^{2} +(-6)^{2}}\\=\sqrt{16+36}\\ =\sqrt{52}\\=7.21\\\\

So the perimeter is:

Perimeter=AB+BC+AC\\=15.23+10+7.21\\=32.44\ units

Using hero's formula,

s=\frac{perimeter}{2}\\s=\frac{32.44}{2}\\ s=16.22\\Area=\sqrt{s(s-a)(s-b)(s-c)}\\=\sqrt{16.22(16.22-15.23)(16.22-10)(16.22-7.21)}\\=\sqrt{(16.22)(0.99)(6.22)(9.01)}\\=\sqrt{899.91}\\=29.99\ square\ units

Rounding off will give us 30 square units ..

4 0
3 years ago
Put the following equation of a line into slope-intercept form, simplifying all
Brilliant_brown [7]

Answer:

y = -x - 4

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra I</u>

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

x + y = -4

<u>Step 2: Rewrite</u>

<em>Find slope-intercept form</em>

  1. Subtract <em>x</em> on both sides:                    y = -x - 4
8 0
3 years ago
Chris and Jeff sold 15.5 pounds of trail mix. They sold the trail mix for $3.98 per pound.
Scrat [10]

Answer:

$61.69 You take the 15.5 and take off the .5 to begin with so you start with 15 multiply it by 3.98 to get 59.7 then you take 3.98 divide it by 2 because the .5 is the same thing as 1/2 then you get 1.99 then you add it to your 59.7 to get 61.69 and thats your answer. Hope this helps :)

4 0
3 years ago
How is a 15% discount similar to a 15% decrease?<br> How is 8% sales tax like an 8% increase?
jeyben [28]
It is important to remember that a discount is the same as a decrease and a sales tax means an increase. If you remember this, you will easily know how to go about solving the mathematical questions.
A 15% discount is similar to a 15% decrease because a discount means a decrease in price and serves the purpose of a decrease.
An 8% sales tax is like an increase because it means that it is an 8% increase over the original price. 
6 0
3 years ago
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creativ13 [48]

Answer:

0.01587301587

Step-by-step explanation:

calculator

3 0
3 years ago
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