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2 years ago

Write the following proportion: 8 is to 64 as 2 is to X

2 answers:

7 0

8 over 64 is equal to 2 over x...cross multipy and that should give you 128=8x...now just divide 128 by 8 to find x...x=16

Andrews [41]2 years ago

3 0

1 way
$\frac{8}{64} = \frac{2}{x} \\ \\ 
 \frac{8:4}{64:4} = \frac{2}{x} \\ \\ 
 \frac{2}{16} = \frac{2}{x}$ ⇔ x = 16
......................................................
2.way
$\frac{8}{64} = \frac{2}{x}$
We multiply the cross

$8x = 2 * 64
8x = 128
x = 16$

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biancas employer matches 25% of her 401(k) contributions u to $1000 biancas salary is $50000 and last year she contributed $6000

Phoenix [80]

We are told that the employer matches 25% of Bianca's contributions to her 401(k). We are also told that Bianca's salary is $50,000 a year, of which she contributed $6000 to her own 401 (k). Her salary is not necessary to solve this, simply knowing how much she put into her 401(k) is enough information.

We can solve for 25% of $6000.

$6000 x 0.25 = $1500.

The employer should contribute $1500 to her 401(k), however, the question also states that they will contribute 25% UP TO $1000. Since 25% of 6000 is greater than 1000, the employer's contribution to the 401(k) will be $1000.

4 0

3 years ago

Read 2 more answers

Convert 1 cal/(m^2 * sec * °C) into BTU/(ft^2 * hr * °F)

Crazy boy [7]

Answer:

$1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=0.03926\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

Step-by-step explanation:

To find : Convert $1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}$ into $\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

Solution :

We convert units one by one,

$1\text{ m}^2=10.7639\text{ ft}^2$

$1\text{ sec}=\frac{1}{3600}\text{ hour}$

$1\text{ cal}=0.003968\text{ BTU}$

Converting temperature unit,

$^\circ C\times \frac{9}{5}+32=^\circ F$

$1^\circ C\times \frac{9}{5}+32=33.8^\circ F$

So, $1^\circ C=33.8^\circ F$

Substitute all the values in the unit conversion,

$1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=\frac{0.003968}{10.7639\times \frac{1}{3600}\times 33.8}\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

$1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=\frac{0.003968}{0.101061}\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

$1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=0.03926\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

Therefore, The conversion of unit is $1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=0.03926\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

3 0

3 years ago

Find the degree of the monomial. 9b6c5 The degree of the monomial is

Scorpion4ik [409]

Answer:

General Formulas and Concepts:

Algebra I

Terms/Coefficients/Degrees

Step-by-step explanation:

Step 1: Define

9b⁶c⁵

Step 2 Identify

Our largest degree is the variable raised to the highest exponent.

b⁶ > c⁵

Therefore our degree is 6.

7 0

3 years ago

Factor the expression. 9b2 – 25 a. (5b + 3)(5b – 3) b. (3b – 5)(3b – 5) c. (3b + 5)(3b + 5) d. (3b + 5)(3b – 5)

Snowcat [4.5K]

Answer:

Dear user,

Answer to your query is provided below

Option (d) is correct.

Step-by-step explanation:

Explanation of the same is attached in image

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2 years ago

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True [87]

Answer:

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3 years ago