It Takes Sierra 8 seconds to walk a 50-foot course, what is the rate that she was walking

A scale model of a human heart is 190 Inches long. The scale is 34 to 1. How many Inches long is the actual

Alika [10]

Answer:

6 inches long

Step-by-step explanation:

190/x = 34/1

34x = 190

x= 5.588235294

rounded to the nearest whole number is 6

6 0

2 years ago

6. Find the sum or difference.<br> (69 - 3) - (4g + 5)

serg [7]

Answer:

61-4g

Step-by-step explanation:

ygbhc

8 0

2 years ago

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Solve for x. 5 x − 19 ≤ 1 OR − 4 x + 3 < − 6

k0ka [10]

$5x - 19 \leqslant 1$

change

$\leqslant \: to \: =$

given you

$5x - 19 = 1$

making x the subject by transferring the -19 to the right hand side of the equation

$5x = 19 + 1$

$5x = 20$

dividing through by 5

$\frac{5x}{5} = \frac{20}{5}$

$x = 4$

{ ${x:x \leqslant 4}$ }

also given

$- 4x + 3 < - 6$

change the operation sign to =

$- 4x + 3 = - 6$

$- 4x = - 6 - 3$

$- 4x = - 9$

dividing through by -4

$\frac{ - 4x}{ - 4} = \frac{ - 9}{ - 4}$

$x = \frac{9}{4}$

so the truth set is

{x:x>9/4}.

The < sign changes to > because we divided by a negative number when solving for x

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=3f%5E%7B2%7D%20-%2015f%20-%20108" id="TexFormula1" title="3f^{2} - 15f - 108" alt="3f^{2} - 15

AlexFokin [52]

Answer:

3(f - 9)(f + 4)

Step-by-step explanation:

Assuming you require to factorise the expression

3f² - 15f - 108 ← factor out 3 from each term

= 3(f² - 5f - 36) ← factor the quadratic

Consider the factors 0f the constant term (- 36) which sum to give the coefficient of the f- term (- 5)

The factors are - 9 and + 4 , since

- 9 × 4 = - 36 and - 9 + 4 = - 5 , then

f² - 5f - 36 = (f- 9)(f + 4)

Then

3f² - 15f - 108 = 3(f - 9)(f + 4)

5 0

3 years ago

Fleece vests regularly priced at $15.99 are on sale for $13.99. If the sales tax is 5%, how much can you save by buying the vest

Marysya12 [62]

Saving of $2.10 is made by buying fleece vest on sale.

<u>Solution:</u>

Given that regular price of fleece vest = $15.99

And sale price of fleece vest = $13.99

Sales tax = 5%

When we buy at regular price, total amount including sales tax which needs to be paid is:

$\mathrm{A}_{\mathrm{R}}$ = 15.99 + 5% of 15.99

$\begin{array}{l}{\mathrm{A}_{\mathrm{R}}=15.99+5 \times \frac{15.99}{100}} \\\\ {\mathrm{A}_{\mathrm{R}}=15.99\left(\frac{105}{100}\right)=15.99 \times 1.05}\end{array}$

When buy at sales price, total amount including sales tax which needs to be paid that is

$\begin{array}{l}{\mathrm{A}_{\mathrm{S}}=13.99+5 \% \text { of } 13.99} \\\\ {\mathrm{A}_{\mathrm{S}}=13.99+5 \times \frac{13.99}{100}} \\\\ {\mathrm{A}_{\mathrm{S}}=13.99\left(1+\frac{5}{100}\right)} \\\\ {\mathrm{A}_{\mathrm{S}}=13.99\left(\frac{105}{100}\right)=13.99 \times 1.05}\end{array}$

$\text { Saving made }=\mathrm{A}_{\mathrm{R}}-\mathrm{A}_{\mathrm{S}}$

$\begin{array}{l}{=(15.99 \times 1.05)-(13.99 \times 1.05)} \\\\ {=1.05(15.99-13.99)} \\\\ {=1.05 \times 2=\$ 2.10}\end{array}$

Hence saving of $2.10 is made by buying fleece vest on sale.

7 0

3 years ago

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