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3 years ago

Simplify xz³ × 4x⁴z⁵

Mathematics

1 answer:

Inessa [10]3 years ago

7 0

Answer:

4x⁵z8

Step-by-step explanation:

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Colin Sarah and Gordon share some sweets in the ratio 2:5:3 calling gets 26 sweets how many sweets are there at altogether toget

nikitadnepr [17]

Answer:

Collin: 26, Sarah: 65, Gordon: 39, so 130 altogether

Step-by-step explanation:

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3 years ago

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Judd worked 40 hours this week. He worked 7/10 of the hours outside and the rest inside. How many hours did he work outside?

Mnenie [13.5K]

If you would like to know how many hours did Judd work outside, you can calculate this using the following steps:

40 hours
outside: 7/10 of the hours = 7/10 * 40 hours = 7/10 * 40 = 28 hours

Judd worked 28 hours outside.

3 0

3 years ago

1 | Find the equivalent to:

Gennadij [26K]

Answer:

B) $\frac{7}{7^5}$

Step-by-step explanation:

$\frac{7^3*7^-2}{7^5} =\frac{1}{2401}$

$\frac{7}{7^5} =\frac{1}{2401}$

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2 years ago

Which one is the answer for these qution 4x=5(9x+2)<br> A)5/2<br> B)41/10<br> C)-10/41<br> D)10/41

stealth61 [152]

C. -10/41

First use the distributive property to get 4x = 45x + 10
Use subtraction on both sides by 10
Again use subtraction of 4x on both sides
You now have -10 = 41x
Use division to get x alone and you now have -10/41 = x

5 0

3 years ago

Gonzalez Manufacturing borrowed $. Part of the money was borrowed at %, part at %, and part at %. The annual interest was $

Pavel [41]

Answer:

The answer is "rate 12%, 14%, 16% and value 4000, 10000, and 7000".

Step-by-step explanation:

Let the value is x, y, and z. so,

The value of x amount will be borrowed at 12% $= \frac{12}{100} \times x= 0.12x$

The value of y amount will be borrowed at 14% $= \frac{14}{100} \times x= 0.14x$

The value of z amount will be borrowed at 16% $= \frac{16}{100} \times x= 0.16x$

If the total amount= 21000

$\to x+y+z=21000$

If the total interest= 3000

calculating the total interest:

$\to 0.12x +0.14y +0.16z = 3000$

The overall amount borrowing at 12% and 14% was half as much as the amount borrowed at 16%.

$\to x + y = 2z\\\\\to x + y - 2z = 0$

by calculating the value we have 3 equations that are:

$\to x+y+z=21000\\\\\to 0.12.x +0.14.y +0.16z = 3000\\\\\to x + y - 2z= 0\\$

calculate the matrix by above-given value:

$\left[\begin{array}{ccc}1&1&1\\0.12&0.14&0.16\\1&1&-2\end{array}\right]$ $\left[\begin{array}{c}x&y&z\\ \end{array}\right] =\left[\begin{array}{c}21000&3000&0\\ \end{array}\right]$

by solving the above matrix we get:

$\left[\begin{array}{c}x&y&z\\ \end{array}\right] =\left[\begin{array}{c}4000&10000&7000\\ \end{array}\right]$

$\to \$ 4000 \text{ lent at} 12 \% \\\to \$ 10000 \text{ lent at} 14 \% \\\to \$ 7000 \text{ lent at} 16\%\\\\$

6 0

3 years ago

Simplify xz³ × 4x⁴z⁵​

Simplify xz³ × 4x⁴z⁵