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2 years ago

Solve for r. -49 = -7r

Mathematics

1 answer:

Nikolay [14]2 years ago

5 0

R=7 because you would do -49 divided by -7

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Using 5 letters followed by 2 digits, how many passwords are possible?

Deffense [45]

Since there is no condition whatsoever for this arrangement, I can consider the 2 digits and the 5 letters as 7 different objects.

Total permutation (with no repetition):
7 chosen among 7 , that is 7 ! = 5040 arrangements

Total permutation (WITH REPERTITION):

7⁷ = 823 543

6 0

3 years ago

Find the missing side in the similar figures below

Lerok [7]

Answer:

a. 28.8

Step-by-step explanation:

Using the theorem of similarity, the following equation can be generated:

$\frac{x}{12} = \frac{25 + 35}{25}$

Solve for x

$\frac{x}{12} = \frac{60}{25}$

Cross multiply

$x*25 = 60*12$

$25x = 720$

Divide both sides by 25

x = 28.8

5 0

3 years ago

Dr. E. Quation says the Infant Mortality Rate of Korea shown by the expression; 7(m + 3) - 2. Is equal to his criminal success r

GarryVolchara [31]

Answer:

The infant mortality rate in Korea based on equality provided is:

1.8

Step-by-step explanation:

Since the text mentions that the infant mortality rate in Korea is equal to the criminal success rate, the two expressions must equalize and clear the variable m, which is the rate in each of the expressions:

7 (m + 3) - 2 = 8m + 17.2
7m + 21 - 2 = 8m + 17.2
7m + 19 = 8m + 17.2
19 - 17.2 = 8m - 7m
1.8 = m

As you can see, once the equality of the expressions is solved, a rate of 1.8 is obtained.

6 0

3 years ago

A new sidewalk will be 5 feet wide, 100 feet long, and filled to a depth of 3 inches (0.25 foot) with concrete. How many cub

GarryVolchara [31]

Answer:

4.63 cubic yard.

Step-by-step explanation:

Given,

The length of sidewalk, l = 100 feet,

Width, w = 5 feet,

Depth, h = 3 inches = 0.25 feet,

Thus, the volume of the concrete needed for making the sidewalk,

$V=l\times w\times h$

$=100\times 5\times 0.25$

= 125 cubic feet,

∵ 1 cubic yard = 27 cubic feet,

⇒ 1 cubic feet = $\frac{1}{27}$ cubic yard,

Thus, the quantity of concrete needed = $\frac{125}{27}$ ≈ 4.63 cubic yard.

4 0

3 years ago

Make c the subject: x=-b+(b²-4ac) divided by 2a The brackets mean square root

kipiarov [429]

$x=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\
2ax=-b+\sqrt{b^2-4ac}\\
\sqrt{b^2-4ac}=2ax+b\\
b^2-4ac=(2ax+b)^2\\
-4ac=4a^2x^2+4abx+b^2-b^2\\
-4ac=4a^2x^2+4abx\\
c=-ax^2-bx$

7 0

3 years ago