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3 years ago

Which of the following is the graph of the solution set of t – 4 ≥ 4t + 8 or 3t >14 – 4t?

Mathematics

1 answer:

Stells [14]3 years ago

4 0

Answer:

Option (C)

Step-by-step explanation:

There are two inequalities,

t - 4 ≥ 4t + 8 ------(1)

3t > 14 - 4t ------(2)

By simplifying inequality (1),

t - 4 ≥ 4t + 8

t ≥ 4t + 8 + 4

t ≥ 4t + 12

t - 4t ≥ 12

-3t ≥ 12

t ≤ $\frac{12}{(-3)}$

t ≤ -4

By solving inequality (2),

3t > 14 - 4t

3t + 4t > 14

7t > 14

t > $\frac{14}{7}$

t > 2

From the given graphs, Option (C) will be the answer.

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Jose, baulus, and George are having a disagreement over interest rates. Jose says that 6 3/4% can be expressed as 6.75%. George

otez555 [7]

Answer:

Jose and George are correct

Baulus is incorrect

Step-by-step explanation:

Given

$6\frac{3}{4}$ %

Required

Compare the above expression with

Jose: 6.75%.

George: 0.0675

Baulus: 0.0675%

The expression  $6\frac{3}{4}$ % is given as a mixed fraction;

In Jose's case, he simply converted it to decimal

Converting $6\frac{3}{4}$ % to decimal;

First, we need to convert to improper fraction

$6\frac{3}{4}$ % in improper fraction is $\frac{27}{4}$ %

Then, we divide the numerator by the denominator

$\frac{27}{4}$ % = 6.75%.

Hence, Jose is correct

In George's case, he solved further by removing the % from Jose's answer.

% means divided by 100; In other words, x% means that we divide x by 100

So, 6.75% means we divide 6.75 by 100

$\frac{6.75}{100}$ = 0.0675

Hence, George is also correct

But same can't be said of Baulus;

Baulus converted $6\frac{3}{4}$ % as 0.0675%

This means that he converted $6\frac{3}{4}$ as 0.0675 then he appended it with the percentage sign (%)

Since $6\frac{3}{4}$ is not equal to 0.0675, then we can conclude that Baulus is incorrect

8 0

4 years ago

What is the answer of -3 2/3 + 1.1 as a fraction?

pickupchik [31]

$- 3 \frac{2}{3} + 1.1 = - \frac{11}{3} + \frac{11}{10} = - \frac{110}{30} + \frac{33}{30} \\ = -\frac{77}{30} = -2 \frac{17}{30}$

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3 years ago

Plz help me with this binary division whith full process/explanation 1001010 ÷ 101

aivan3 [116]

Answer:

Step-by-step explanation:

Its like doing a long division with base 10 numbers:

1110 <----------- Quotient

101)1001010

101

1000

101

111

101

100

So the answer is 1110 remainder 100.

We can confirm this by converting to decimal numbers

1001010 = 74 and 101 = 5.

74 / 5 = 14 remainder 4.

3 0

3 years ago

Ttm question need help

azamat

Answer:

The first option is the correct answer

Step-by-step explanation:

7 0

3 years ago

80 POINTS HELP 1. What is the value of x? Show all of your work.

AnnyKZ [126]

Answer:

x = 9cm

Step-by-step explanation:

This is a right triangle so we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

6^2 + x^2 = ( sqrt(117) ^2)

36 + x^2 = 117

Subtract 36 from each side

x^2 = 117 -36

x^2 = 81

Take the square root of each side

sqrt(x^2) = sqrt(81)

x = 9

6 0

3 years ago

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