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3 years ago

Simplify the algebraic expressions. A) 16x+3-14x+15 B)-1/6(24x-60)+2x

Mathematics

1 answer:

tresset_1 [31]3 years ago

8 0

Answer:

A) 2x + 18

B) -2x + 10

Step-by-step explanation:

Hope this helps! Have a great day!

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Suppose a bank charges a base rate of $5 plus $0.10 per check for your checking account. You can switch to a different account t

wolverine [178]

Answer:

10 number of checks.

Cost = $6

Step-by-step explanation:

Given that:

Fixed Charges of first bank = $5

Charges of first bank per check = $0.10

Fixed Charges of second bank = $4

Charges of second bank per check = $0.20

To find:

Number of checks such that the charges for the banks become the same?

Solution:

Let the number of checks = $x$

Cost for the first bank for $x$ checks = $5 + $0.10 $x$

Cost for the second bank for $x$ checks = $4 + $0.20 $x$

As per question statement, both the costs are the same.

Comparing the values:

$5 + 0.10x = 4 + 0.20x\\\Rightarrow 0.10x = 1\\\Rightarrow x = 10$

So, for 10 number of checks the cost will be same.

The cost = 4 + 0.20 $\times$ 10 = $6

8 0

3 years ago

On Naomi's cell phone plan, the amount she pays each month for international text messages is proportional to the number of inte

Lostsunrise [7]

A) The constant of proportionality in this proportional relationship is $k = \frac{y}{x}$

B) The equation to represent this proportional relationship is y = 0.2x

<h3>Solution:</h3>

Given that,

The amount Naomi pays each month for international text messages is proportional to the number of international texts she sends that month

Therefore,

This is a direct variation proportion

$\text{ amount Naomi pays each month } \propto \text{ number of international texts she sends that month}$

Let "y" be the amount that Naomi pays each month

Let "x" be the number of international texts she sends that month

Therefore,

$y \propto x$

y = kx -------- eqn 1

Where, "k" is the constant of proportionality

Thus the constant of proportionality in this proportional relationship is:

$k = \frac{y}{x}$

Last month, she paid $3.20 for 16 international texts

Therefore,

y = 3.20

x = 16

Thus from eqn 1,

$3.20 = k \times 16\\\\k = \frac{3.20}{16}\\\\k = 0.2$

Substitute k = 0.2 in eqn 1

y = 0.2x

The equation would then be y = 0.2x

8 0

3 years ago

I will mark brainliest

BARSIC [14]

Answer:

Your answer would be D, the last one

6 0

3 years ago

Read 2 more answers

Ralph Phillips obtained a 12-month, $1500.00 loan at 12%. His monthly payment is $133.20. For the first payment find:

Paul [167]

Answer:

a. The interest is US$ 8.20

b. The payment to principal is US$ 125.

c. The new balance is: US$ 1,465.20 (including principal and interest) or US$ 1,375 (just the principal).

Step-by-step explanation:

1. Let's review the information given to answer this question correctly:

Loan obtained by Ralph Phillips = US$ 1,500

Time of paying back the loan = 12 months

Interest rate of the loan = 12%

Monthly payment = US$ 133.20

2. Let's find a, b and c.

The principal is US$ 1,500. Dividing it by 12 months, the monthly payment of principal is US$ 125. Therefore,

a. The interest is (133.20 - 125) = US$ 8.20

b. The payment to principal is US$ 125.

c. The new balance is: US$ 1,465.20 (including principal and interest) or US$ 1,375 (just the principal).

5 0

3 years ago

An office has 30 computers. seventeen of the 30 are macintosh, and the remaining thirteen are windows. two computers are randoml

Aleks04 [339]

Given the first was Windows, we're choosing the second from 17 macs and 12 Windows, so

$p = \dfrac{17}{17+12} = \dfrac{17}{29}$

6 0

3 years ago