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3 years ago

Simplify: 5/4 + 4 (3/4 - 1/2)^2

1 answer:

8 0

$= > \frac{5}{4} + 4 {( \frac{3}{4} - \frac{1}{2} )}^{2} \\ \\ \\ \\ = > \frac{5}{4} + 4( \frac{3}{4} - \frac{1 \times 2}{2 \times 2} ) {}^{2} \\ \\ \\ \\ = > \frac{5}{4} + 4( \frac{3}{4} - \frac{2}{4} ){}^{2} \\ \\ \\ \\ = > \frac{5}{4} + 4( \frac{3 - 2}{4} ) {}^{2} \\ \\ \\ \\ = > \frac{5}{4} + 4( \frac{1}{4} ) {}^{2} \\ \\ \\ \\ = > \frac{5}{4} + 4( \frac{1 \times 1}{4 \times 4} ) \\ \\ \\ \\ = > \: \frac{5}{4} +4 (\frac{1}{16} )\\ \\ \\ \\ = > ( \frac{5}{4} + \frac{1}{4} ) \\ \\ \\ \\ => \frac{5+1}{4} \\ \\ \\ \\ \frac{3}{2}$

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Here is a recipe for hot chocolate. The recipe makes 4 cups. You and 7 friends are going to enjoy some hot chocolate outside, so

prisoha [69]

Answer:

The recipe for hot chocolate which makes 4 cups, I have 7 friends and if I include myself we will need to make 8 cups of hot chocolate so the recipe for hot chocolate will need to double all the ingredients mentioned in the recipe to make 8 cups of hot chocolate. If 8 cups of hot chocolate is made me and my friends will be able to enjoy hot chocolate in a little cold weather with social distance.

Step-by-step explanation:

3 0

3 years ago

Please help me<br><br> Determine the value of base b if (152)b = 0x6A. Please show all steps.

egoroff_w [7]

Answer:

The value of b is, 8

Step-by-step explanation:

To determine the value of b:

Given:

$(152)_b = 0x6A$ ....[1]

Since, 0x6A represents the hexadecimal form.

To convert this hexadecimal form into decimal form:

$(6A)_{16}= (6 \times 16^1)+(A \times 16^0)=(6 \times 16)+(10 \times 1) =96+10 = 106$

⇒ $0x6A=106$ (decimal form)

Now we have to convert this decimal form into octal

8 | 106

8 | 13 | 2

| 1 | 5

Then, the octal form we get, $(152)_8$

Substitute this in [1] we have;

$(152)_b = (152)_8$

On comparing both sides we have;

b = 8

Therefore, the value of b is, 8

5 0

3 years ago

A number is increased by 35%.<br><br> The result is 324

Natali5045456 [20]

Answer:

x = 323.65

Step-by-step explanation:

A number can be represented through x.

x + 35% = 324

35% means 0.35

x + 0.35 = 324

- 0.35 - 0.35

x = 323.65

hope this helps!

4 0

3 years ago

Y intercept = 1 and parallel to y = 4x - 3

gregori [183]

When a line is parallel to another line, that means both lines have the same slope.

Since the standard form equation for a line is y = mx + b where m is our slope and b is our y-intercept, we know that the new equation will also have m=4.

They give us the y-intercept, b=1

So oue new equation is as follows...

y = 4x + 1

7 0

3 years ago

On Monday, it took 5 builders 3 in a half hours to build a wall.

mrs_skeptik [129]

Answer:

£83.70

Step-by-step explanation:

→ First step is to find the amount of hours it takes for one builder

We know it takes 5 builders $3\frac{1}{2}$ hours so 1 builder would take 5 × $3\frac{1}{2}$ which is $\frac{35}{2}$ hours so it takes one builder 17.5 hours to builder a wall

→ Now we know how long one work takes we need to find out the time for 2 builders

1 builder = 17.5 hours

2 builders = 17.5 ÷ 2 = 8.75 hours

So 2 builders take 8.75 hours

→ We know that each builder is paid £9.30 for each or part hour they work so

9.30 hourly pay rate × 9 hours work of work = £83.70

Each worker will be paid £83.70

6 0

3 years ago