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3 years ago

3 1/2 + 2 5/6 show me the work please

Mathematics

1 answer:

Zolol [24]3 years ago

8 0

3 1/4 + 2 1/3
= 6712
= 5712≅ 5.583333
this example do it using this example

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Organisers for a charity event sold 500 tickets. Adult price £3 and children £2. Money received from adult ticket sales is £400

Tatiana [17]

Answer: 280

<u>Step-by-step explanation:</u>

Quantity X Cost = Money Received

Adult: x 3 3x

Children: 500-x 2 2(500 - x) = 1000 - 2x

Adult = Children + 400

3x = 1000 - 2x + 400

3x = 1400 - 2x

5x = 1400

x = 280

7 0

2 years ago

Write the equation of the parabola that has its x-intercepts at (1+<img src="https://tex.z-dn.net/?f=%5Csqrt%7B5%7D" id="TexForm

VladimirAG [237]

Answer:

$y=2x^2-4x-8$

Step-by-step explanation:

<u>Factored form of a parabola</u>

$y=a(x-p)(x-q)$

where:

p and q are the x-intercepts.
a is some constant.

Given x-intercepts:

(1+√5, 0)
(1-√5, 0)

Therefore:

$\implies y=a(x-(1+\sqrt{5}))(x-(1-\sqrt{5}))$

$\implies y=a(x-1-\sqrt{5})(x-1+\sqrt{5})$

To find a, substitute the given point (4, 8) into the equation and solve for a:

$\implies a(4-1-\sqrt{5})(4-1+\sqrt{5})=8$

$\implies a(3-\sqrt{5})(3+\sqrt{5})=8$

$\implies4a=8$

$\implies a=2$

Therefore, the equation of the parabola in factored form is:

$\implies y=2(x-1-\sqrt{5})(x-1+\sqrt{5})$

Expand so that the equation is in standard form:

$\implies y=2(x^2-x+\sqrt{5}x-x+1-\sqrt{5}-\sqrt{5}x+\sqrt{5}-5)$

$\implies y=2(x^2-x-x+\sqrt{5}x-\sqrt{5}x+\sqrt{5}-\sqrt{5}+1-5)$

$\implies y=2(x^2-2x-4)$

$\implies y=2x^2-4x-8$

6 0

1 year ago

Pre image ABCD was dilated to produce image A’B’C’D why is the scale factor from the pre image? Enter your answer in the box as

shepuryov [24]

The scale factor of the dilation from ABCD to A′B′C′D′ is 3.

Step-by-step explanation:

Step 1:

In the pre-image ABCD, the length of one of the sides is given as 14 units.

For the other shape A′B′C′D′, the same side as the previous shape is given as 8 units.

Step 2:

To determine the scale factor, we divide the measurement after scaling by the same measurement before scaling.

In this case, it is the given length of the sides CD and C′D′.

So the scale factor = $\frac{C^{1} D^{1} }{CD} = \frac{8}{14} = \frac{4}{7} .$

So the shape ABCD is dilated by a scale factor of $\frac{4}{7}$ to produce the shape A′B′C′D′.

7 0

3 years ago

Find x so that l || m.

fredd [130]

Answer:

x = 17

Step-by-step explanation:

Line l and m are two parallel lines cut across by the transversal line, therefore, the angle measuring 53° and (8x - 9)° are interior angles on the same side. Interior angles on the same side are supplementary.

Therefore:

53° + (8x - 9)° = 180°

Solve for x

53 + 8x - 9 = 180

Collect like terms

53 - 9 + 8x = 180

44 + 8x = 180

Subtract 44 from both sides

44 + 8x - 44 = 180 - 44

8x = 136

Divide both sides by 8

8x/8 = 136/8

x = 17

3 0

2 years ago

Y = 6 when x = 30, what is y when x = 6

Alex787 [66]

30 divided by 6 is 5
6 divided by 5 is 1. 2

6 0

3 years ago