Which number checks the equation 6x = x + 50?

even built a scale model of the Gateway Arch in St.Louis the actual height of the Gateway Arch is 630 feet the height of the mod

suter [353]

This is eazy 630=90x
divide 90 on both sides
7=x
x=in
7feet=1in

8 0

3 years ago

Wayne has a recipe that says to heat the oven to 160°C. Wayne evaluates the expression 1.8C + 32 when C= 160 to convert the temp

beks73 [17]

Answer:

lalalaalalallalalalalala

Step-by-step explanation:

8 0

4 years ago

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4/2/9•2/1/3 please help me on this!

svet-max [94.6K]

Answer:

4/2/9*2/1/3

2/9*2/3

2*1/9*2/3 (fractions)

calculate:

4/27

or: 0.148

Step-by-step explanation:

8 0

4 years ago

If log2 5 = a, log2 3 = b and log2 7 = c, determine an expression for log2 (25/21) in terms of a, b, and c

Ilia_Sergeevich [38]

Answer:

$2a - b -c$

Step-by-step explanation: We know that:

$log_{2} 5 = a\\log_{2} 3 = b\\log_2 7 = c\\$

and we want:

$log_2 \frac{25}{21}$ .

We can form the numerator using just the first fact (since 5^2 is 25) and the denominator using the latter two (since 3*7 = 21).

$log_2 \frac{25}{21} = log_2 \frac{5^2}{3*7}.$

The logarithm of a division can be expanded by subtracting the numerator and denominator (while still keeping the log). The logarithm of a product can be expanded by adding the terms while keeping the log. If the logarithm is raised to a power, we can bring it down as a factor:

$log_2 \frac{5^2}{3*7} = log_2(5)^2 - log_2 (3*7) = 2 log_2(5) - (log_2 3 + log_2 7)$

$= 2 log_2(5) - log_2 3 - log_2 7$ .

Substituting the variables:

$2 log_2(5) - log_2 3 - log_2 7 = 2a - b - c$

8 0

3 years ago

A projectile is fired directly upward. The compound inequality 89 – 9.8t < 10.6 or 89 – 9.8t > 20.4 represents a projectil

Tom [10]

Given compound inequality 89 – 9.8t < 10.6 or 89 – 9.8t > 20.4.

Let us solve them one by one.

89 – 9.8t < 10.6

Subtracting 89 from both sides, we get

89-89 – 9.8t < 10.6 - 89

-9.8t < -78.4

Dividing both sides by -9.8, we get

t > 8.

<em>Note: Inequality sign get flip on dividing both side by a negative number.</em>

89 – 9.8t > 20.4

Subtracting 89 from both sides, we get

89-89 – 9.8t < 20.4 - 89

-9.8 t < - 68.6.

Dividing both sides by -9.8, we get

t < 7

<em>Note: Inequality sign get flip on dividing both side by a negative number.</em>

<h3><em> The solution to the inequality 89 – 9.8t < 10.6 is </em>t > 8. </h3><h3> The solution to the inequality 89 – 9.8t > 20.4 is t < 7.</h3>

When the projectile hits the ground:

89 – 9.8t = 0

Subtracting 89 from both sides, we get

89 - 89 – 9.8t = 0 -89.

-9.8t = -89.

Dividing both sides by 9.8, we get

<h3>to the nearest whole second t is about 9 seconds.</h3><h3>Therefore, variable solution set is {t < 7, t > 8, t = 9}.</h3><h3 />

7 0

4 years ago

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