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masya89 [10]
3 years ago
9

What is three quarters of £42 and a quarter of £42

Mathematics
2 answers:
nata0808 [166]3 years ago
4 0
3/4 * 42 = 3(1/4 * 42) = 3((42 / 2) / 2) = 3(21 / 2) = 3*10.5 = 31.5
1/4 * 42 = (42/2) / 2 = 10.5
maksim [4K]3 years ago
3 0
three \ quarters \to \frac{3}{4} \\\\ \frac{3}{4} \ of \ 42\£ = \\\\ =\frac{3}{4}*42\£= \\\\ =\frac{3}{2}*21\£= \\\\ =\frac{63\£}{2} = \\\\= \boxed{31.5\£} \\\\\\\ a \ quarter \to \frac{1}{4} \\\\ \frac{1}{4} \ of \ 42\£= \\\\ =\frac{1}{4}*42\£= \\\\ =\frac{21\£}{2}= \\\\ =\boxed{10.5\£}
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What is true about the line y = x?
Nimfa-mama [501]

Answer:

B

Step-by-step explanation:

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Which graph shows the following system of equations and its solutions? -0.1x-0.3y=1.2 and 0.2x-0.5y=2
Vera_Pavlovna [14]

Answer:

Option b is the correct answer as both the equations are true for given solution.

Step-by-step explanation:

Given equations are:

-0.1x-0.3y=1.2

0.2x-0.5y=2

We can observe each graph and find the point that is the solution and put the point in the equations to know if that point is the solution

<u>For option A:</u>

(0,4)

Putting x=0 and y = 4 in both equations

-0.1(0)-0.3(4)=1.2\\0-1.2 =1.2\\-1.2 \neq 1.2\\0.2(0)-0.5(4)=2\\0-2 = 2\\-2 \neq 2

This is not the correct answer as both equations are not true with this solution

<u>For Option B:</u>

(0,-4)

Putting x = 0 and y = -4 in both equations

-0.1(0)-0.3(-4)=1.2\\0+1.2 = 1.2\\1.2 = 1.2\\0.2x-0.5y=2\\0.2(0)-0.5(-4) = 2\\2 = 2

Both equations are true for (0,-4) hence it is the solution of the system.

<u>For Option C:</u>

(4,0)

-0.1(4)-0.3(0)=1.2\\-0.4-0 = 1.2\\-0.4 \neq 1.2\\0.2x-0.5y=2\\0.2(4)-0.5(0) = 2\\0.8 \neq 2

Not true for both equations

Hence,

Option b is the correct answer.

7 0
2 years ago
Find the surface area of a rectangular prism that has the following dimensions. length: 2 ft width: 14 in. height: 11 in. surfac
natita [175]
A=1508in²    hope this helps
3 0
3 years ago
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What is 4^6 . 4^6 please help​
KonstantinChe [14]

Answer:

4^12 or 16777216

Step-by-step explanation:

4^6* 4^6

We can symplify 4^6* 4^6

Since they both have the same base, we can add there exponent:

4^6* 4^6= 4^12

4^12 equals to 16777216

8 0
3 years ago
T
Marianna [84]

Solution:

<u>Note that:</u>

  • AB = EF
  • BC = EG = 6x - 8
  • 7x - 19 = 2x + 11
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<u>Solving for x:</u>

  • 7x - 19 = 2x + 11
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  • => x = 30/5 = 6

<u>Substitute the value of x into the expression (24 + 2x + 11 + 6x - 8): </u>

  • 24 + 2x + 11 + 6x - 8
  • => 24 + 2(6) + 11 + 6(6) - 8
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  • => 75 units

The perimeter of the triangle ABC is 75 units.

7 0
2 years ago
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