Explain how solving -7y > 161 is different from solving 7y

Which pairs of angles are alternate exterior angles? select yes or no

sasho [114]

A - No

B - No

C - Yes

D - Yes

.

C and D are alternate exterior angles

8 0

3 years ago

Lacey picks blueberries and raspberries from her garden. She has ⅕ as many pounds of blueberries as raspberries. If she picks 1⅘

Mrac [35]

Answer:

2 1/4 pounds of blueberries

Step-by-step explanation:

Blueberries - b, raspberries - x

<u>Equations as per question:</u>

b = x * 1/5
b + 1 4/5 = x

<u>Eliminate b and solve for x:</u>

1/5x = x - 1 4/5
x - 1/5x = 1 4/5
4/5x = 9/5
x = 9/5 : 4/5
x = 9/5 *5/4
x = 9/4
x = 2 1/4

5 0

3 years ago

Read 2 more answers

Write an equation in slope - intercept form for the line that satisfies each set of conditions

ivanzaharov [21]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

(1)

Rearrange 3x + 2y = 1 into this form by subtracting 3x from both sides

2y = - 3x + 1 ( divide all terms by 2 )

y = - $\frac{3}{2}$ x + $\frac{1}{2}$ ← in slope- intercept form

with slope m = - $\frac{3}{2}$

Parallel lines have equal slopes, thus

y = - $\frac{3}{2}$ x + c ← is the partial equation

To find c substitute (- 6, 15) into the partial equation

15 = 9 + c ⇒ c = 15 - 9 = 6

y = - $\frac{3}{2}$ x + 6 ← equation of line

(2)

Rearrange x + 2y = 8 into slope- intercept form by subtracting x from both sides

2y = - x + 8 ( divide all terms by 2 )

y = - $\frac{1}{2}$ x + 4 ← in slope- intercept form

with slope m = - $\frac{1}{2}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-\frac{1}{2} }$ = 2, thus

y = 2x + c ← is the partial equation

To find c substitute (5, - 2) into the partial equation

- 2 = 10 + c ⇒ c = - 2 - 10 = - 12

y = 2x - 12 ← equation of line

3 0

3 years ago

Read 2 more answers

. A theater has 40 rows of seats, where the first row has 27 seats and each subsequent row has

MAXImum [283]

<h3><em>Answer:</em></h3><h3><em></em></h3><h3><em>number of seats in theater = 1035</em></h3><h3><em></em></h3><h3><em>Step-by-step explanation:</em></h3><h3><em></em></h3><h3><em>Given in question as</em></h3><h3><em></em></h3><h3><em>Total number of rows of seat = 30</em></h3><h3><em></em></h3><h3><em>first row contain seat = 20</em></h3><h3><em></em></h3><h3><em>second row contain seat = 21 .. and so on</em></h3><h3><em></em></h3><h3><em>This is in arithmetic progression as 20 , 21 , 22 , 23 ...... so on</em></h3><h3><em></em></h3><h3><em>Then as number of terms N = 30 and first terms = a = 20</em></h3><h3><em></em></h3><h3><em>so we have to find Tn th terms</em></h3><h3><em></em></h3><h3><em>So, Tn th terms = first term + ( N -1 ) × d d= common difference i.e 1</em></h3><h3><em></em></h3><h3><em> Tn th terms = 20 + (30 - 1) × 1</em></h3><h3><em></em></h3><h3><em>Thus, Tn th terms = 49</em></h3><h3><em></em></h3><h3><em>i.e The number of seats in 30th row = 49</em></h3><h3><em></em></h3><h3><em>Now again Total number of seats in theater</em></h3><h3><em></em></h3><h3><em>sum of Nth terms = </em></h3><h3><em></em></h3><h3><em>so = </em></h3><h3><em></em></h3><h3><em> = 15 × 69 = 1035</em></h3><h3><em></em></h3><h3><em>Hence, Total number of seats in theater = 1035 Answer</em></h3>

6 0

3 years ago

How can recycling materials lead to environmental sustainability?

ASHA 777 [7]

Answer:

Recycling materials helps decrease the amount of new materials taken from the environment.

Step-by-step explanation:

Recycling materials helps decrease the amount of new materials taken from the environment.

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3 0

2 years ago

Explain how solving -7y > 161 is different from solving 7y > -161.