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3 years ago

Complete the ratio table. 16 17 32 51 64 68 80 85

Mathematics

1 answer:

aksik [14]3 years ago

3 0

Answer:

32 34

51 54

Step-by-step explanation:

You add +1 by every line more than the last line

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Pleassssssseeeeee hhheeelllppp

elena-s [515]

A= -2+(-3)×(-8+4)

-2+(-3)×(-4)

-2+12=10

B=-9+8×7+(-12)

-9+56-12=35

C=8-2= -4

D=8÷2=4

E= -4-35= -39

F=153

8 0

4 years ago

A shopkeeper marks the price on articles 25% above the cost price. After allowing 10% discount, it was sold at gain of Rs 150. F

SashulF [63]

Answer: $Rs. 166.67$

Step-by-step explanation:

Given

Mark up price is 25% higher than cost price

The shopkeeper gives a discount of 10%

Suppose the cost price is $x$

Mark up price is $1.25x$

Selling price is

$\Rightarrow 1.25x\times 0.9=1.125x$

It is given Rs150

$\therefore 150=1.125x\\\Rightarrow x=\text{Rs}133.33$

Marked up price is $\text{Rs }166.67$

7 0

3 years ago

Write an equation of the perpendicular bisector of the segment with endpoints Q(−2,0)

olga nikolaevna [1]

The equation of perpendicular bisector of QR is:

$y = -\frac{2}{3}x+\frac{22}{3}$

Step-by-step explanation:

Given points are:

$Q(-2,0)\ and\ R(6,12)$

First of all, we have to find the slope of the given line

So,

$m = \frac{y_2-y_1}{x_2-x_1}$

Here

(x1,y1) = (-2,0)

(x2,y2) = (6,12)

Let m1 be the slope of QR:

Then

$m_1 = \frac{12-0}{6+2}\\= \frac{12}{8}\\= \frac{3}{2}$

Let m2 be the slope of perpendicular bisector

We know that the product of slopes of two perpendicular lines is -1

$m_1.m_2 = -1\\\frac{3}{2}.m_2 = -1\\m_2 = -1 * \frac{2}{3}\\m_2 = -\frac{2}{3}$

The bisector will pass through the mid-point of QR

$M = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\M = (\frac{-2+6}{2}, \frac{0+12}{2})\\M = (\frac{4}{2}, \frac{12}{2})\\M = (2,6)$

Slope-intercept form of equation is:

$y = m_2x+b$

Putting the value of slope

$y = -\frac{2}{3}x+b$

Putting (2,6) in the equation

$6 = -\frac{2}{3}(2)+b\\6 = -\frac{4}{3}+b\\b = 6+\frac{4}{3}\\b = \frac{18+4}{3}\\b = \frac{22}{3}$

So,

$y = -\frac{2}{3}x+\frac{22}{3}$

Hence,

The equation of perpendicular bisector of QR is:

$y = -\frac{2}{3}x+\frac{22}{3}$

Keywords: Mid-point, equation of line

Learn more about equation of line at:

#LearnwithBrainly

3 0

3 years ago

Prior to a special advertising campaign, 23% of all adults recognized a particular companyâs logo. At the close of the campaign

pochemuha

Answer:

The answer is "2.4049"

Step-by-step explanation:

Calculating the test of Hypothesis: $H_{0}: 23\% \ \text{off all adults which reconize the compony's logo}\\\\H_{1}: \text{more than 23\% of adult recornise the compony's logo}\\\\$

that is

$H_{0}: p=0.23\ against \ H_{1}:p>0.01\\\\Z=\frac{P-p}{\sqrt{\frac{p(1-p)}{n}}}\sim N(0,1)\\\\$

Given:

$p= 0.23\\\\ \therefore \\\\1-p=0.77\\\\n=1200\\\\ P=\frac{311}{1200}=0.2591\\\\\therefore\\\\Z= \frac{0.2591-0.23}{\sqrt{((0.23)\times \frac{(1-0.23))}{1200}}}=2.4049$

Z=2.576 tabled value. Because Z is 2.4049, that's less than Z stated, there is no indication that a null hypothesis is rejectable, which means that 23% of all adults record the logo of the Company.

8 0

3 years ago

Solve the proportion<br> 7/2=x/16

alina1380 [7]

X=56
7÷2=3.5 and 56÷16=3.5

4 0

3 years ago