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2 years ago

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Walter asks to borrow $5 from Sharon on Monday, and another $8 on Tuesday. If he pays back $6 on Wednesday and borrows another $

5 on Thursday, how much does he still owe Sharon on Friday

1 answer:

Vera_Pavlovna [14]2 years ago

4 0

Answer:

$12 is owed

Step-by-step explanation:

5 + 5 + 8 = 18

18 - 6 = 12

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Determine which of the lines, if any, are parallel or perpendicular. Explain.

hodyreva [135]

Answer:
line a and b are parallel
line c is not perpendicular because it is not 3

step-by-step explanation:
if the slope is the same it is parallel
if the slope is the complete opposite it is perpendicular
lines a and b are parallel with a slope of -1/3
(0, 5) (3, 4)
m = 4 - 5 / 3 - 0
m = -1 / 3
m = -1/3
(-1, 1) (2, 0)
m = 0 - 1 / 2 + 1
m = -1 / 3
m = -1/3
line c is perpendicular to lines a and b the slope is
(0, 0) (2, 5)
m = 5 - 0 / 2 - 0
m = 5/2
2.5

8 0

2 years ago

One number is eight more than twice another. If their difference is 25, what is the larger number?

Vladimir79 [104]

You can set up an system of equations
x=2y+8
x-y=25

Substitute x in to the second equation
2y+8-y=25
y+8=25
y=17

Substitute the y back in to the first equation.
x=2(17)+8=42

7 0

2 years ago

Which table represents the graph of a logarithmic function in the form y=log3x when b>1?

alex41 [277]

Answer:

<u><em>The satisfied table of the given function</em></u> $y = log_{b} (x)$ <u><em></em></u>

<em>x 1/8 1/4 1/2 1 2</em>

<em>y -3 -2 -1 0 1</em>

<em></em>

Step-by-step explanation:

<u><em>Explanation</em></u> :-

Given logarithmic function $y = log_{b} (x)$ if b >1

Given first table

i)

put x = $\frac{1}{8}$ given b > 1 so we can choose b = 2

$y = log_{2} (\frac{1}{8} )$

$y = log_{2} (2^{-3} )$

we will apply logarithmic formula

log x ⁿ = n log (x)

$y = log_{2} (2^{-3} ) = -3 log_{2} (2) = -3 (1) = -3$

<em>y = -3</em>

<em>ii)</em>

<em>put x = </em> $\frac{1}{4}$ <em> given b > 1 so we can choose b = 2</em>

<em></em> $y = log_{2} (\frac{1}{4} )$ <em></em>

<em></em> $y = log_{2} (2^{-2} )$ <em></em>

we will apply logarithmic formula

log x ⁿ = n log (x)

$y = log_{2} (2^{-2} ) = -2 log_{2} (2) = -2 (1) = -2$

<em>y = -2</em>

<em>iii) </em>

<em>put x = </em> $\frac{1}{2}$ <em> given b > 1 so we can choose b = 2</em>

<em></em> $y = log_{2} (\frac{1}{2} )$ <em></em>

$y = log_{2} (2^{-1} )$

<em>we will apply logarithmic formula </em>

<em>log x ⁿ = n log (x)</em>

$y = log_{2} (2^{-1} ) = -1 log_{2} (2) = - (1) = -1$

<em>y = -1</em>

<em>iv) </em>

<em>put x = 1 given b > 1 so we can choose b = 2</em>

<em></em> $y = log_{2} (1 )$ <em> = 0</em>

<em>y = 0</em>

<em>v) </em>

<em>put x = </em> $2$ <em> given b > 1 so we can choose b = 2</em>

$y = log_{2} (2 )$

<em>y = 1</em>

<em></em>

<u><em>Final answer:-</em></u>

<u><em>The satisfied table of the given function</em></u>

<em>x 1/8 1/4 1/2 1 2</em>

<em>y -3 -2 -1 0 1</em>

<em></em>

8 0

2 years ago

Read 2 more answers

Find the value of x such that l ⊥ m. A) 10.7 B) 16 C) 46 D) 48

dsp73

Answer:

<h3>B. 16°</h3>

Step-by-step explanation:

The diagram lacks the appropriate figure. Find the figure attached. If the line I is perpendicular to m, this means that the sum of the given angles will be equal to 90° as shown;

(3x+5)° + 37° = 90°

open the parenthesis

3x+5 + 37° = 90°

3x+42 = 90

subtract 42 from both sides of the equation

3x+42-42 = 90-42

3x = 48

Divide both sides of the resulting equation by 3;

3x/3 = 48/3

<em>x = 16</em>

<em>Hence the value of x is 16°</em>

4 0

3 years ago

The bearing of Y from X is 63

zimovet [89]

Answer:

117°

Step-by-step explanation:

<u>As per diagram:</u>

∠NXY ≅ ∠XYZ as alternate interior angles since XN and YN are parallel and XY is transversal
m∠XYZ = m∠XZY = 63° since ΔXYZ is isosceles

<u>Find the measure of ∠YXZ:</u>

m∠YXZ = 180° - 2*63° = 54°

<u>Find the bearing of Z from X:</u>

m∠NXZ = m∠NXY + m∠YXZ = 63° + 54° = 117°

8 0

2 years ago