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3 years ago

Solve the inequality. –10d ≥ –70

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

7 0

Answer:

d≤7

Step-by-step explanation:

-10d≥-70

d≤7

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There are 870 people attending a conference.if 8.9% were canda how many people is this

zhuklara [117]

Answer:

77.43

Step-by-step explanation:

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3 years ago

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In AWXY, m_W = (10x +17), m_X = (2x – 9)", and m_Y = (3x + 7)º.<br> Find mZY

ella [17]

Answer:

$m\angle Y=40^\circ$

Step-by-step explanation:

Suppose we have a triangle WXY whose internal angles are:

$m\angle W = 10x+17$

$m\angle X=2x-9$

$m\angle Y=3x+7$

The sum of the measures of the angles must be 180°, thus:

$10x+17 + 2x-9+3x+7=180$

Simplifying:

15x + 15 = 180

Subtracting 15:

15x = 165

Dividing by 15:

x = 11

Thus, the measure of angle Y is

$m\angle Y=3x+7=3*11+7=33+7=40$

$\mathbf{m\angle Y=40^\circ}$

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2 years ago

Ln a+3 + ln a-3 = ln 16

Lilit [14]

$\bf log_{{ a}}(xy)\implies log_{{ a}}(x)+log_{{ a}}(y)\\\\
and\qquad \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
-----------------------------\\\\
ln(a+3)+ln(a-3)=ln(16)\implies ln[(a+3)(a-3)]=ln(16)
\\\\\\
ln[a^2-3^2]=ln(16)\impliedby \textit{removing ln() from both sides}
\\\\\\
a^2-9=16\implies a^2=16+9\implies a^2=25
\\\\\\
a=\pm\sqrt{25}\implies a=\pm 5$

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3 years ago

3+12x5/(5+15) What’s the answer

r-ruslan [8.4K]

$\bf 3+12\times \cfrac{5}{(5+15)}\implies 3+12\times \cfrac{5}{\underset{\uparrow }{20}}\implies 3+12\times \cfrac{1}{4}\implies 3+\cfrac{\stackrel{\downarrow }{12\times 1}}{4} \\\\\\ 3+\cfrac{12}{4}\implies 3+\stackrel{\downarrow }{3}\implies 9$

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3 years ago

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Question 11 options:

9966 [12]

Answer:

x = 12

length = 4 cm

width = 20 cm

Step-by-step explanation:

a = lw

Plug in the givens

80 = (x - 8)(x + 8)

Multiply

80 = x^2 - 64

Add 64 to both sides

144 = x^2

Take the square root of both sides

x = ±12

(The negative root is extraneous since the dimensions can not be negative)

x = 12

length = x - 8 = 4 cm

width = x + 8 = 20 cm

7 0

2 years ago