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3 years ago

6m−7)⋅4=left parenthesis, 6, m, minus, 7, right parenthesis, dot, 4, equals ¿Atorado?

Mathematics

1 answer:

mars1129 [50]3 years ago

7 0

Answer:

24m - 28

Step-by-step explanation:

Given the expression (6m−7)⋅4, we are to simplify it. Using the distributive law;

A(B+C) = AB + AC [A is distributed over B and C]

For the expression (6m−7)⋅4, we will distribute 4 over 6m and -7 as shown;

(6m−7)⋅4 = 4(6m) - 4(7)

(6m−7)⋅4 = 24m - 28

Hence (6m−7)⋅4 = 24m - 28

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Find two consecutive positive integers such that the square of the first decreased by 17 equals 4 times the second.

Zina [86]

Answer:

The two consecutive positive integers are 7 and 8

Step-by-step explanation:

Let

x ----> the first positive integer

x+1 ----> the second consecutive positive integer

we know that

$x^{2} -17=4(x+1)$

Solve for x

$x^{2} -17=4x+4\\ \\x^{2}-4x-21=0$

Solve the quadratic equation by graphing

The solution is x=7

see the attached figure

Find the value of x+1

x+1=7+1=8

therefore

The two consecutive positive integers are 7 and 8

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mafiozo [28]

2430 divided by 10= 243 bags

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3 years ago

Andre45 [30]

Answer:

The volume is 356 $in^3$ , which agrees with the second answer option listed.

Step-by-step explanation:

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$V=B*\frac{h}{3}$

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$B=(8 \,in)^2=64\,in^2$

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