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3 years ago

A set of equations is given below:

1 answer:

8 0

If you would like to find a step that can be used to find the solution to the set of equations, you can do this using the following steps:

c = 2d + 1
c = 3d + 5
__________
c = c
2d + 1 = 3d + 5
2d - 3d = 5 - 1
- d = 4
d = -4

The correct result would be <span>2d + 1 = 3d + 5.</span>

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If i drive at a constant rate and go 100 miles in 2 hours, write an equation that could represent the number of miles, m, per ho

Ipatiy [6.2K]

100 miles ............... 2 hours
x miles ................1 hour

x = 100 m / 2 h = 50 m / h

5 0

4 years ago

Find the island height of a pyramid with a volume of 432 ft^3 if the base is a square with a side length of 12 ft. Round to the

dmitriy555 [2]

So the picture below shows what the slant height is. It also shows that the pyramid can form a right triangle, in which we can use the pythagorean theorem, which is $leg^2+leg^2=hypotenuse^2$ .

But first, we have to find the height of this pyramid. The volume formula for a square pyramid is $A=\frac{lwh}{3}$ . Since we know its a square pyramid, the length and width are going to be the same (12 ft), and we know that the volume is 432 ft^3. Using this info, we can solve for the height:

$432=\frac{12*12*h}{3}\\ 1296=12*12*h\\ 1296=144*h\\ 9=h$

So now we can use the pythagorean theorem (remember to split the 12 by 2, since the right triangle has only half the length of the base). Our equation will be solved as such:

$6^2+9^2=s^2\\ 36+81=s^2\\ 117=s^2\\ 10.8=s$

In short, the slant height is 10.8 ft.

3 0

3 years ago

A broken calculator can double any number or permute its digits (but 0 cannot go up front). Can we start with number 1 and obtai

stira [4]

Answer: it's impossible to obtain 78

Step-by-step explanation: Since the calculator can double any number or permute its digits except 0

starting with number 1

1, 2, 4, 8, 16, 32, 64, 128

Therefore, it's impossible to obtain 78 by a series of these operations

8 0

3 years ago

Resistors are labeled 100 Ω. In fact, the actual resistances are uniformly distributed on the interval (95, 103). Find the mean

Zinaida [17]

Answer:

$E[R]$ = 99 Ω

$\sigma_R$ = 2.3094 Ω

P(98<R<102) = 0.5696

Step-by-step explanation:

The mean resistance is the average of edge values of interval.

Hence,

The mean resistance, $E[R] = \frac{a+b}{2} = \frac{95+103}{2} = \frac{198}{2}$ = 99 Ω

To find the standard deviation of resistance, we need to find variance first.

$V(R) = \frac{(b-a)^2}{12} =\frac{(103-95)^2}{12} = 5.333$

Hence,

The standard deviation of resistance, $\sigma_R = \sqrt{V(R)} = \sqrt5.333$ = 2.3094 Ω

To calculate the probability that resistance is between 98 Ω and 102 Ω, we need to find Normal Distributions.

$z_1 = \frac{102-99}{2.3094} = 1.299$

$z_2 = \frac{98-99}{2.3094} = -0.433$

From the Z-table, P(98<R<102) = 0.9032 - 0.3336 = 0.5696

5 0

3 years ago

The Quinn family drove 228 miles in 4 hours at a constant rate. Which equation can be used to determine how far they traveled ea

anyanavicka [17]

What can be used on this is the distance over time formula, so what you,do is divide 228 by 4 to get the distance traveled in one hour. And 288/4=57. So they traveled 57 mi in one hour. Hope this helped.

6 0

3 years ago

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