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3 years ago

The sum of five and an unknown number.

Mathematics

1 answer:

malfutka [58]3 years ago

8 0

Answer: 5+x

Step-by-step explanation:

Not sure if you want it in an equation but here it is: 5+x

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Malcolm has $638.54 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for $159.50 today.

lubasha [3.4K]

Let any variable such as x represent the least amount of money that Malcolm needs to deposit. His balance from his checking account is $638.54. Subtract $159.50 from this amount.

With the condition that he must maintain $500, the inequality becomes,

(638.54 - 159.50) + x <span>≥ 500

479.04 + x </span><span>≥ 500

x </span><span>≥ 20.96</span>

5 0

3 years ago

Arnie's car used 100 cups of gasoline during a drive. He paid 3.12 per gallon for gas. How much did the gas cost?

Setler79 [48]

312 is the answer for the question

6 0

3 years ago

Read 2 more answers

Simplify the following rational expression

MatroZZZ [7]

Answer:

The value of k for the expression to be undefined is 9 .

Step-by-step explanation:

Given as :

The rational expression is written in the form

$\dfrac{5k^{2}-50k+45}{k^{2}-18k+81}$

Now, according to question

The expression to be undefined , denominator should be 0

<u>As, $\frac{1}{0}$ is infinite ( ∞ ) term and it is undefined , so for expression to be undefined , the denominator should be 0</u>

∴ k² - 18 k + 81 = 0

Or, k² - 9 k - 9 k + 81 = 0

Or, k ( k - 9 ) - 9 ( k - 9) = 0

Or, ( k - 9 ) ( k - 9 ) = 0

Or, ( k - 9 ) = 0 , ( k - 9 ) = 0

∴ k = 9

So, The value of k = 9

Hence The value of k for the expression to be undefined is 9 . Answer

8 0

3 years ago

Order from least to greatest; 5/8, 11/16, 1/2

marin [14]

Answer:

1/2 5/8 11/16

Step-by-step explanation:

i hope this is right for you good luck

6 0

3 years ago

Read 2 more answers

Assembly Department $280,000

DIA [1.3K]

<h2><u>Answer :-</u></h2>

A. Commercial 540

Residential 360

B. Commercial 585

Residential 390

<h2><u>Explanation :-</u></h2>

a) Calculation to Determine the per-unit factory overhead allocated to the commercial and residential motors .

First step is to calculate the Plantwide overhead rate using this formula

Plantwide overhead rate =Estimated overhead /Estimated machine hours

Let plug in the formula

Plantwide overhead rate = 1080000/9000

Plantwide overhead rate = $ 120 per MH

Now let Determine the per-unit factory overhead allocated to the commercial and residential motors

Using this formula

Per -unit factory overhead allocated=Actual MH per unit *Plantwide overhead rate

Let plug in the formula

Per -unit factory overhead allocated to COMMERCIAL=4.5 dmh*120

Per -unit factory overhead allocated to COMMERCIAL=540

Per -unit factory overhead allocated to RESIDENTIAL=3.0 dmh*120

Per -unit factory overhead allocated to RESIDENTIAL=360

Therefore the per-unit factory overhead allocated to the commercial and residential motors under the single plantwide factory overhead rate method will be:

Commercial 540

Residential 360

b. Calculation to Determine the per-unit factory overhead allocated to the commercial and residential motors

First step is to calculate the Departmental overhead rate

ASSEMBLY TESTING

Estimated overhead 280,000 800,000

÷Estimated machine hours each department 4,000 5,000

=Departmental overhead rate 70 160

Now calculation the per-unit factory overhead allocated to the commercial and residential motors

COMMERCIAL RESIDENTIAL

Assembly 1.5 dmh*70=105 1.0 dmh*70=70

Testing 3.0*160= 480 2.0*160= 320

Per -unit factory overhead allocated 585 390

(105+480=585)

(70+320=390)

Therefore the per-unit factory overhead allocated to the commercial and residential motors under the multiple production department factory overhead rate method will be:

Commercial 585

Residential 390

7 0

3 years ago