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3 years ago

Solve the equation. –3x + 1 + 10x = x + 4 x = x = x = 12

1 answer:

5 0

Remember you can do anything to an equation as long as you do it to both sides

-3x+1+10x=x+4

add like terms
7x+1=x+4
minus x both sides
6x+1=4
minus 1 both sides
6x=3
divide both sides by 6
x=1/2
x=0.5

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Eva payrolls for on a number cube and the number of cubes roll 24 times then what is a reasonable prediction for the number of s

Allushta [10]

Answer:

The reasonable prediction for successful rolls is 4.

Step-by-step explanation:

Assuming the rolling cube is a fair 6 sided cube, so the probability of success of one roll is given as

$P(Success)=\dfrac{Number\ of\ successful\ events}{Number\ of\ total\ events}$

$P(Success)=\dfrac{1}{6}$

The total success is given as

$P(Total\ Success)=P(Success)\times Number\ of\ events$

For 24 rolls it is given as

$P(Total\ Success)=P(Success)\times Number\ of\ events\\P(Total\ Success)=\dfrac{1}{6}\times 24\\P(Total\ Success)=4$

So the reasonable prediction for successful rolls is 4.

3 0

2 years ago

If a cup of coffee has temperature 97Â°C in a room where the ambient air temperature is 25Â°C, then, according to Newton's Law o

FinnZ [79.3K]

Answer:

The average temperature is $T_{a} = 81.95^oC$

Step-by-step explanation:

From the question we are told that

The temperature of the coffee after time t is $T(t) = 25 + 72 e^{[-\frac{t}{45} ]}$

Now the average temperature during the first 22 minutes i.e fro $0 \to 22$ minutes is mathematically evaluated as

$T_{a} = \frac{1}{22-0} \int\limits^{22}_{0} {25 +72 e^{[-\frac{t}{45} ]}} \, dx$

$T_{a} = \frac{1}{22} [25 t + 72 [\frac{e^{[-\frac{t}{45} ]}}{-\frac{1}{45} } ] ] \left| 22} \atop {0}} \right.$

$T_{a} = \frac{1}{22} [25 t - 3240e^{[-\frac{t}{45} ]} ] \left | 45} \atop {{0}} \right.$

$T_{a} = \frac{1}{22} [25 (22) - 3240e^{[-\frac{22}{45} ]} - (- 3240e^{0} )]$

$T_{a} = \frac{1}{22} [550 - 1987.12 + 3240]$

$T_{a} = 81.95^oC$

8 0

2 years ago

The radius of a clock face is 8.5 centimeters. what is circumfe0rence of clock?

kondor19780726 [428]

Answer:

The circumference of clock is, 53.38 cm

Step-by-step explanation:

Circumference(C) of the circle is given by:

$C = 2 \pi r$ ....[1]

where, r is the radius of the circle.

As per the statement:

the radius of a clock face is 8.5 centimeters

⇒r = 8.5 cm

Use $\pi = 3.14$

Substitute the given values in [1] we have;

$C = 2 \cdot 3.14 \cdot 8.5$

Simplify:

C = 53.38 cm

Therefore, the circumference of clock is, 53.38 cm

7 0

2 years ago

Read 2 more answers

A muffin recipe calls for 4 cups of sugar and yelled 36 muffins. It’s Amelia only wants to make 24 muffins, how much sugar will

AysviL [449]

So, 4 cups of sugar is used in ONE muffin.
36 muffins is called yet Amelia will do 24.

Instead of multiplying 36, you will multiply 24 by 4.

24 × 4 = 96

She will need 96 cups of sugar to make 24 muffins.

7 0

2 years ago

Quadrilateral ABCD is rotated 145° about point T. The result is quadrilateral A'B'C'D'. Which congruency statement is correct?

Zina [86]

Answer:

it is

Step-by-step explanation:

7 0

3 years ago