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3 years ago

#20 please help me solve this

Mathematics

1 answer:

Gelneren [198K]3 years ago

7 0

Answer:

A pound of a JELLY BEANS cost $2.5

A pound of TRAIL MIX cost $1.5

Step-by-step explanation:

From the question, we can draw out two equations and solve them simultaneously.

We should make some mild assumptions to make it easier:

Let Jelly beans be j

Let Trail mix be t

Therefore, we can extract these equations.

5j + 3t =$ 17 ...........i

2j + 12t = $ 23...…..ii

Let's Multiply equation (I) by 4 so that we can easily eliminate.

20j + 12t = $ 68..... iii

Let equation (iii) minus equation (ii)

18j + 0t = $45

18j = $45

j = $45/18

j = $2.5

A pound of a JELLY BEANS cost $2.5

Let's substitute j= $2.5 in EQUATION (I) so as to solve for TRAIL MIX.

5j + 3t =$ 17

5(2.5) + 3t = 17

12.5 + 3t = 17

3t = 17 - 12.5

3t = 4.5

t = $1.5

A pound of TRAIL MIX cost $1.5

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snow_lady [41]

Answer: 276,435

Step-by-step explanation:

yes

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2 years ago

Now given a rope hanging from the top of a pole. The end lying on the ground is 3 chi long. When tightly stretchedit is 8 chi fr

drek231 [11]

Answer:

Height of the pole = 9.17 chi.

Length of the rope = 12.17 chi.

Step-by-step explanation:

Given that the rope is hanging from the top of a pole having height x chi and the portion of the rope lying on the ground is 3 chi.

So, the length of the rope= x + 3 chi.

Let AB represents the pole in the figure, and one end of the rope is at point A.

When the rope is tightly stretched, let C be the other end of the rope as shown in the triangle.

The length of the rope = AC.

\Rightarrow AC=x+3 chi.

Distance from the bottom of the pole, point A, to the other end of the pole, point B, is 8 chi.

So, BC=8 chi.

As the triangle ABC is a right-angled triangle, so by using Pythagoras theorem,

$AC^2= AB^2+BC^2$

$\Rightarrow (x+3)^2=x^2+8^2$

$\Rightarrow x^2+6x+9=x^2+64$

$\Rightarrow 6x=64-9=55$

$\Rightarrow x=55/6=9.17$ chi.

Hence, the height of the pole, $AB=x=9.17$ chi,

and the length of the rope, $x+3=9.17+3=12.17$ chi.

8 0

3 years ago

The are of a shaded region is 118 ft squared. Which equation can be- used to find the value of X, in feet?

Triss [41]

Answer:

$x^2+ 18x -130=0$

Step-by-step explanation:

Given

See attachment for diagram

Required

The equation to find x

First, calculate the area of the big rectangle using:

$Area = Length * Width$

So:

$A_1 = (x + 6) * (3x - 2)$

The smaller rectangle

$A_2 = (x - 1) * (2x)$

The difference between this areas give the area of the shaded region.

So:

$A_1 - A_1 = 118$

$(x+6)*(3x-2) - (x-1)*2x = 118$

Open brackets

$3x^2 - 2x + 18x -12 -2x^2 +2x = 118$

Collect like terms

$3x^2 -2x^2- 2x +2x+ 18x -12 - 118=0$

$x^2+ 18x -130=0$

The above equation can be used to solve for x

4 0

3 years ago

Wyatt is enlarging a rectangular drawing using a scale factor of 2.5. 7.4 in 5 in

omeli [17]

It is 2.4 x 2.5 which equals 6 the answer is 6

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3 years ago

Find the slope of the line that passes through each pair of points. 5. G(–3, 2), H(7, 2)

sladkih [1.3K]

Answer:

y=0x+2 meaning the slope is equal to 0

Step-by-step explanation:

If you think about this question you'll see that our two points have the same y coordinate

This means that the slope is equal to 0

so we have

y=0x+b

If we plug in -3 for x and set the equation equal to 2 we can find b

0+b=2

b=2

so we have

0x+b=y

5 0

3 years ago