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tester [92]
3 years ago
8

0.3(10-5x)=31.5(8x+9)

Mathematics
1 answer:
salantis [7]3 years ago
7 0

Answer:

<h2>x = - 1.106</h2>

Step-by-step explanation:

0.3(10-5x)=31.5(8x+9)

<u>Expand the terms in the bracket</u>

That's

3 - 1.5x = 252x + 283.5

<u>Subtract 3 from both sides</u>

3-3 - 1.5x = 252x + 283.5 - 3

-1.5x = 252x + 280.5

<u>Subtract 252x from both sides</u>

That's

- 1.5x - 252x = 252x - 252x + 280.5

- 253.5x = 280.5

<u>Divide both sides by -253.5</u>

We have the final answer as

x = - 1.106

Hope this helps you

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Dan and David are marking exam papers. Each set takes Dan 35 minutes and David 1 hour. Express the times Dan and David take as a
blagie [28]

Answer:

Step-by-step explanation:

1 hour =60 minutes

Ratio =35

60

= 7

12

Answer=7

12

8 0
3 years ago
Which pair of segments are corresponding parts of the congruent quadrilaterals that are pictured below?
Lunna [17]

Answer:

Segment A B and Segment Z W

Step-by-step explanation:

we know that

If two figures are congruent, then its corresponding sides and its corresponding angles are congruent

In this problem

Sides C D and Y X are congruent,

sides C B and Y Z are congruent,

sides Z W and A B are congruent,

sides A D and X W are congruent

so

ABCD≅WZYX

The corresponding sides are

AB and WZ

BC and ZY

CD and YX

AD and WX

That means

AB ≅ WZ

BC ≅ ZY

CD≅ YX

AD ≅ WX

The corresponding angles are

∠A and ∠W

∠B and ∠Z

∠C and ∠Y

∠D and ∠X

That means

∠A ≅ ∠W

∠B ≅ ∠Z

∠C ≅ ∠Y

∠D ≅ ∠X

therefore

The answer is

Segment A B and Segment Z W

6 0
3 years ago
Read 2 more answers
F(x) = x^2 + 4x + 20 find the real roots. take your time if you want :)
s344n2d4d5 [400]

Answer:

No real roots

x = -2 + 4i, x = -2 - 4i

Step-by-step explanation:

Hello!

We can solve the quadratic by using the Quadratic Formula.

Standard form of a Quadratic: ax^2 + bx + c = 0

Quadratic Equation: x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}

Given our Equation: f(x) = x^2 + 4x + 20

  • a = 1
  • b = 4
  • c = 20

Set the equation to 0 and solve using the formula.

<h3>Solve</h3>
  • x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}
  • x = \frac{-4\pm\sqrt{4^2 - 4(1)(20)}}{2(1)}
  • x = \frac{-4\pm\sqrt{16 - 80}}{2}
  • x = \frac{-4\pm\sqrt{-64}}{2}
  • x = \frac{-4\pm8i}{2}
  • x = -2 + 4i, x = -2 - 4i

There are no real roots to the quadratic.

8 0
2 years ago
In a cryptarithm, each letter is assigned its own unique digit. In the cryptarithm shown (where MATH is 3 times FUN), FUN is a 3
ANEK [815]

The 3 digit number that is FUN is; 678

<h3>What is the combination of the numbers?</h3>

We are told that MATH is 3 times the word "FUN".

We are also told that each letter is assigned a unique number and that no leading digit can be zero and that the digits must be consecutive.

Now, product of 789 by 3 gives;2367.

Each letter should have a unique letter and so that is not the correct sequence.

Let us try the product of 678 by;

678 * 3 = 2034

This fulfils the condition of the question because each letter has a unique digit, the lead digit is not zero and the numbers are consecutive numbers in increasing order.

Thus, the 3-digit number that is FUN is 678.

Read more about combination of numbers at; brainly.com/question/12468032

4 0
3 years ago
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Find the area of the shape shown below. (PLZZZ HELP)
enyata [817]

Answer:

108 unit^2.

Step-by-step explanation:

This looks like a trapezoid , so the area =

1/2 * 24 * (1 + 8)

= 12 * 9

= 108 units^2.

3 0
3 years ago
Read 2 more answers
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