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3 years ago

Solve the following equation. Then place the correct number in the box provided. Leave answer in terms of a mixed

Mathematics

2 answers:

Rasek [7]3 years ago

7 0

Answer:

Step-by-step explanation:

$\frac{8x}{7}=8$

Multiply both sides by 7

$7*\frac{8x}{7}=8*7\\\\8x=8*7\\$

Divide both sides by 8

$\frac{8x}{8}=\frac{8*7}{8}\\$

x = 7

butalik [34]3 years ago

6 0

Answer:

-The value of $x$ :

$x = 7$

Step-by-step explanation:

-Solve for the value of $x$ :

$\frac{8x}{7} = 8$

-Multiply both sides by the denominator, which is $7$ :

$7\cdot \frac{8x}{7} = 8 \cdot 7$

$8x = 56$

-Divide both sides by 8:

$\frac{8x}{8} = \frac{56}{8}$

$x = 7$

So, the value of $x$ , would be $x = 7$ .

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Craig is designing a new cylinder-shaped can for a pet food company. He wants the height of the can to be 40 mm and the radius o

devlian [24]

The height of the can for this case is given by:
h = 40 mm
The radius of the can is given by:
r = (1 3/8) * h
Substituting values:
r = (1 3/8) * 40
r = 55 mm
Therefore, the diameter of the can is:
d = 2 * r
d = 2 * 55
d = 110 mm
Answer:
The diameter of the can will be:
d = 110 mm

3 0

3 years ago

Your cousin renews his apartment lease and pays a new monthly rent. His new rent is calculated by applying a discount of $50 to

nasty-shy [4]

Answer:

$1100

Step-by-step explanation:

Let the rent be x

Discounted rent

x - $50

Increase applied

Final rent:

(x - 50) + 10% = (x - 50)*1.1

We know this is equal to x + 5% = 1.05x, comparing now

1.1(x - 50) = 1.05x
1.1x - 1.05x = 55
0.05x = 55
x = 55/0.05
x = $1100

6 0

2 years ago

This is Matrix for pre calc

gavmur [86]

The given system of equations in augmented matrix form is

$\left[\begin{array}{cccc|c}3&2&-4&2&-23\\-6&1&2&4&-12\\1&-3&-3&5&-20\\-2&5&6&0&12\end{array}\right]$

If you need to solve this, first get the matrix in RREF:

Add 2(row 1) to row 2, row 1 to -3(row 3), and 2(row 1) to 3(row 4):

$\left[\begin{array}{cccc|c}3&2&-4&2&-23\\0&5&-6&8&-58\\0&11&5&-13&37\\0&19&10&4&-10\end{array}\right]$

Add 11(row 2) to -5(row 3), and 19(row 1) to -5(row 4):

$\left[\begin{array}{cccc|c}3&2&-4&2&-23\\0&5&-6&8&-58\\0&0&-91&153&-823\\0&0&-164&132&-1052\end{array}\right]$

Add 164(row 3) to -91(row 4):

$\left[\begin{array}{cccc|c}3&2&-4&2&-23\\0&5&-6&8&-58\\0&0&-91&153&-823\\0&0&0&13080&-39240\end{array}\right]$

Multiply row 4 by 1/13080:

$\left[\begin{array}{cccc|c}3&2&-4&2&-23\\0&5&-6&8&-58\\0&0&-91&153&-823\\0&0&0&1&-3\end{array}\right]$

Add -153(row 4) to row 3:

$\left[\begin{array}{cccc|c}3&2&-4&2&-23\\0&5&-6&8&-58\\0&0&-91&0&-364\\0&0&0&1&-3\end{array}\right]$

Multiply row 3 by -1/91:

$\left[\begin{array}{cccc|c}3&2&-4&2&-23\\0&5&-6&8&-58\\0&0&1&0&4\\0&0&0&1&-3\end{array}\right]$

Add 6(row 3) and -8(row 4) to row 2:

$\left[\begin{array}{cccc|c}3&2&-4&2&-23\\0&5&0&0&-10\\0&0&1&0&4\\0&0&0&1&-3\end{array}\right]$

Multiply row 2 by 1/5:

$\left[\begin{array}{cccc|c}3&2&-4&2&-23\\0&1&0&0&-2\\0&0&1&0&4\\0&0&0&1&-3\end{array}\right]$

Add -2(row 2), 4(row 3), and -2(row 4) to row 1:

$\left[\begin{array}{cccc|c}3&0&0&0&3\\0&1&0&0&-2\\0&0&1&0&4\\0&0&0&1&-3\end{array}\right]$

Multiply row 1 by 1/3:

$\left[\begin{array}{cccc|c}1&0&0&0&1\\0&1&0&0&-2\\0&0&1&0&4\\0&0&0&1&-3\end{array}\right]$

So the solution to this system is $(w,x,y,z)=(1,-2,4,-3)$ .

6 0

3 years ago

7th grade | discover the pattern and continue

german

Answer:

dot

Step-by-step explanation:

5 0

2 years ago

What is the difference of two positive rational number always positive?

Alexeev081 [22]

No, while the difference represents the absolute magnitude of two numbers . . . for example . . .

The difference between 5 and 2 is . . . 3
The difference between 6.4 and 9.5 is . . . 3.1

. . . there is still the chance that the difference may be zero . . . in which case the difference is neither positive nor negative

. . . so in short . . . the answer is . . . NO

6 0

2 years ago