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Sav [38]
3 years ago
15

A whole number is 6 more than 2 times another number. The sum of the two numbers is less than 50. This can be written in an ineq

uality as x+2x+6<50, where xrepresents the smaller number.
From the set (13, 14, 15, 16, 17), the values of x for which the inequality holds true are
Mathematics
1 answer:
alukav5142 [94]3 years ago
3 0

Answer:

13, 14

Step-by-step explanation:

The parameters of the numbers are;

A whole number value = 2 × Another number + 6

The sum of the two numbers is less than 50

Given that the first number is equal to more than twice the second number, we have that the first number is the larger number, while the second number is the smaller number

Where 'x' represents the second number, we get;

x + 2·x + 6 < 50

Simplifying gives;

3·x + 6 < 50

x < (50 - 6)/3 = 14.\overline 6

x < 14.\overline 6

Therefore, the numbers for which the inequality holds true are numbers less than 14.\overline 6. From the given option, the numbers are 13, and 14.

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A total of $12,000 is invested at an annual interest rate of 9%. Find the balance
sineoko [7]

Answer:

$18,726.11

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

First lets change 9% into a decimal:

9% -> \frac{9}{100} -> 0.09

Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:

A=12,000(1+\frac{0.09}{4})^{4(5)}

A=18,726.11

<u>The balance after 5 years is $18,726.11</u>

6 0
3 years ago
Theresa is planning on making a fleece blanket for her nephew. She learns that the fabric she wants to use is $7.99 per yard. Fi
Anastaziya [24]

Answer:

$31.96

Step-by-step explanation:

(7.99)×(4)= $31.96

7 0
3 years ago
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Use the equation: C=0.5n to determine the cost for 14 hamburgers in dollars
Goshia [24]
C=$7.00

C stands for the cost, and n would be the amount of hamburgers. Since we are looking to determine the costs of 14 hamburgers we would have to then multiply 0.5 and 14.

14 x 0.5 =7

So your answer is 7 dollars
7 0
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Use function g, shown in the graph below.
Katyanochek1 [597]
You should search it up on Photomath is easier
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(pic inside) What is the approximate value of the function at x = 1?
Kay [80]

Answer: -2

Step-by-step explanation:

When x = 1, y = -2.

Hope it helps <3

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