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2 years ago

9

A snack bar offers chili and or cheese on its hot dogs for an additional fee. the owner kept track of the hot dog orders over th

e course of a week. his data are shown in a relative frequency table.
what does the 0.3 in the highlighted mean?

1 answer:

kozerog [31]2 years ago

5 0

30% of his customers ordered chili with no cheese

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Select the equation written in standard form.

Elden [556K]

Answer:

c

Step-by-step explanation:

standard form is y=mx+b

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2 years ago

Find the equation of the perpendicular bisector of a line segment whose end points are (-3,9) and (-1,5)

timofeeve [1]

First find the equation of y.

$y=mx+n=\frac{\Delta y}{\Delta x}x+n$

Find the slope m.

$m=\frac{5-9}{-1-3}=\frac{-4}{-4}=1$ .

Pick one point, I'll pick (-3, 9). Insert coordinates in equation then compute n.

$9=1(-3)+n\implies n=12$ .

The equation of a line y is:

$y=x+12$ .

The perpendicular line $y_{\perp}$ is same like the normal line except its slope m becomes:

$k=-\frac{1}{m}=-1$ .

The equation of a perpendicular bisector is thus:

$y_{\perp}=-x+12$ .

Hope this helps.

6 0

2 years ago

Read 2 more answers

The sum of squares of two consecutive odd numbers is 514 find the numbers

amid [387]

Correct Question : The sum of squares of two consecutive positive odd numbers is 514. Find the numbers.

$\rule{130}1$

Solution :

Let the two consecutive positive odd numbers be x and (x + 2)

$\rule{130}1$

☯ $\underline{\boldsymbol{According\: to \:the\: Question\:now :}}$

$:\implies\sf x^2 + (x + 2)^{2} = 514 \\\\\\:\implies\sf x^2 + x^2 + 4x + 4 = 514\\\\\\:\implies\sf 2x^2 + 4x + 4 = 514 \\\\\\:\implies\sf 2x^2 + 4x = 514 - 4\\\\\\:\implies\sf 2x^2 + 4x = 510 \\\\\\:\implies\sf 2x^2 + 4x - 510 = 0\\\\\\:\implies\sf x^2 + 2x - 255 = 0 \:\:\:\:\:\Bigg\lgroup \bf{Dividing\:by\:2}\Bigg\rgroup\\\\\\:\implies\sf x^2 + 17x - 15x - 255 = 0\\\\\\:\implies\sf x(x + 17) - 15(x + 17) = 0\\\\\\:\implies\sf (x + 17) (x - 15)\\\\\\:\implies\sf x = - 17\:or\:x = 15\\\\\\:\implies\underline{\boxed {\sf x = 15}}\:\:\:\:\:\Bigg\lgroup \bf{Positive\:odd\: number}\Bigg\rgroup$

When,

$\bullet\: \textsf {x = } \textbf {15}$

$\bullet\: \sf x + 2 = 15 + 2 =\textbf{ 17}$

$\therefore\:\underline{\textsf{The required positive integer is \textbf{15 and 17}}}.$

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2 years ago

V = ℓwh for ℓ. please help soon

erma4kov [3.2K]

Isolate the variable by dividing each side by factors that don't contain the variable.
l = v/wh

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2 years ago

Find the value of x. The dot represents the center of the circle,<br>

djyliett [7]

Answer:

$x=16\ units$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

Triangle ABC and ADE are congruent triangles by SSS Theorem postulate

therefore

$x=8(2)=16\ units$

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2 years ago