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3 years ago

5

What is -3 1/6+ 6 2/3

1 answer:

myrzilka [38]3 years ago

5 0

Answer:

3 1/2

or 7/2

or 3.5

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What is the relationship between the lines determined by the following two equations?

oksano4ka [1.4K]

Answer:

C. They are the same line.

Step-by-step explanation:

In order to compare the linear equations given, they need to be in the same form. The best form in order to evaluate slope and y-intercept is slope-intercept form, y = mx + b. Since the second equation is already in slope-intercept form, we need to use inverse operations to convert the first equation:

6x - 2y = 16 ---- 6x - 2y - 6x = 16 - 6x ---- -2y = -6x + 16

-2y/-2 = -6x/-2 + 16/-2

y = 3x - 8

Since both equations are in the form y = 3x - 8, then they are both the same line.

4 0

3 years ago

12.) 15 + (-15) + 12

erica [24]

15-15+12
0+12
12
.........

6 0

4 years ago

Read 2 more answers

When you multiply 3 1/4 by a number greater than one how does the product compared to 3 1/4

vivado [14]

When you multiply 3 1/4 by a number greater than one, you will get the answer greater than 3 1/4.

8 0

3 years ago

A small metal bar, whose initial temperature was 10° C, is dropped into a large container of boiling water. How long will it tak

IgorC [24]

Answer

According to newton law of cooling

$\dfrac{d T}{dt} = k (T - T_a)$

and

$T = Ce^{kt} + T_a$

now At Ta = 100

T₀ = 10 °C

T₁ = 12° C

$T(0) = Ce^{0} + T_a$

10 = C + 100

C = -90

now,

$12 = -90e^k + 100$

$e^k = \dfrac{88}{90}$

$k = ln{\dfrac{88}{90}}$

at time equal to t

T(t) = 70

$T(t) = -90 (\dfrac{88}{90})^t + 100$

$70 = -90(\dfrac{88}{90})^t + 100$

$(\dfrac{88}{90})^t = \dfrac{1}{3}$

$t\times ln(\dfrac{88}{90}) = ln(\dfrac{1}{3})$

t = 48.88 s

hence, after 48.88 s the temperature of the body will be 70°C

b) time taken to reach 98°C

$T(t) = -90 (\dfrac{88}{90})^t + 100$

$98 = -90(\dfrac{88}{90})^t + 100$

$(\dfrac{88}{90})^t = \dfrac{1}{45}$

$t\times ln(\dfrac{88}{90}) = ln(\dfrac{1}{45})$

t = 390 s

hence, after 390 s the temperature of the body will be 98°C

5 0

3 years ago

Shelby paid $1.75 for a notebook at a big 75% off sale. What was the original price of the notebook?

Shkiper50 [21]

Answer:

$7.00

Step-by-step explanation:

The discount is 75% off. To answer this question, multiply n (the original price) by (1.00 - 0.75): 0.25n = $1.75.

Solving this for n, we get $7.00

3 0

3 years ago