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4 years ago

HURRY PLEASE What is the solution of the system 4x+3y=6 2x+2y=5

2 answers:

8 0

4x + 3y = 6
2x + 2y = 5

4x + 3y = 6
4x + 4y = 10

4x + 4y = 10
4x + 3y = 6

(4 - 4)x + (4 - 3)y = 4
y = 4

2x + 2y = 5
2x + 8 = 5
2x = -3
x = -3/2 or -1 1/2

x = -3/2, y = 4

jolli1 [7]4 years ago

7 0

The first given equation is:
4x + 3y = 6
which can be rewritten as:
2(2x) + 3y = 6 .............> equation I

The second given equation is:
2x + 2y = 5
which can be rewritten as:
2x = 5 - 2y ........> equation II

Substitute with equation II in equation I to get the value of y as follows:
2(5-2y) + 3y = 6
10 - 4y + 3y = 6
-y = 6-10 = -4
y = 4

Substitute with the y in equation II to get x as follows:
2x = 5 - 2y
2x = 5 - 2(4)
2x = 5 - 8 = -3
x = -3/2

From the above calculations:
x = -3/2
y = 4

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The combined weight of 2 identical dice, 5 identical balls and 4 identical marbles was 260 grams. The combined weight of one die

olya-2409 [2.1K]

Answer:

The total weight of one die, one ball, and one marble is 75 grams.

Step-by-step explanation:

Consider the provided information.

Let d represents the number of dice, b represents the number of balls and m represents the number of marbles.

So according to the question.

The combined weight of 2 identical dice, 5 identical balls and 4 identical marbles was 260 grams.

$2d+5b+4m=260$ ....(1)

The combined weight of one die and one marble was 55 grams.

$d+m=55$

$m=55-d$ ....(2)

3 balls weighed the same as two dice.

$3b=2d$

Multiply both sides by 5 and divide by 3.

$5b=\frac{10}{3}d$ .....(3)

Now put the value of equation 2 and 3 in equation 1.

$2d+\frac{10}{3}d+4(55-d)=260$

$2d+\frac{10}{3}d+220-4d=260$

$\frac{6d+10d-12d}{3}=40$

$4d=120$

$d=30$

Put d=30 in equation 2.

$m=55-30$

$m=25$

Put d=30 in equation 3.

$5b=\frac{10}{3}\times 30$

$5b=100$

$b=20$

The total weight (in grams) of one die, one ball, and one marble is:

$d+m+b=25+20+30$

$d+m+b=75$

The total weight of one die, one ball, and one marble is 75 grams.

8 0

3 years ago

What is the slope of the line y = 3x + 5? -3 -5 5 3

melomori [17]

Answer:

The slope is 3

Step-by-step explanation:

The number before the x is always the slope

5 0

3 years ago

The ball bearing have volumes of 1.6cm cube and 5.4cm cube . Find the ratio of their surface area.

Korvikt [17]

Answer:

4/9

Step-by-step explanation:

The scale factor for the linear dimensions of the ball bearings will be the cube root of the volume scale factor:

k = ∛(1.6/5.4) = 2/3

Then the scale factor for the areas will be the square of this scale factor:

ratio of surface area = (2/3)² = 4/9

_____

The area is the product of two linear dimensions, so its scale factor is the product of the linear dimension scale factors. That is, the scale factor for area is the square of the linear dimension scale factor.

Similarly, volume is the product of three linear dimensions, so its scale factor is the cube of the linear dimension scale factor.

8 0

3 years ago

Check thepic plzz first answer brainliest

aleksandr82 [10.1K]

Answer:

Total Surface Area: A = 88 square cm

Step-by-step explanation:

Volume V = 48 cubic cm

So this cuboidal box is actually a rectangular prism.

V = L * W* H

L = length, W = breadth, H= height

With L: W : H = 3: 2: 1

L:W = 3: 2

W: H = 2: 1

L/W = 3/2, L = (3/2)*W

W/H = 2/1 , W = 2*H

L = (3/2)*(2H) = 3H

So : V = L * W * H = (3H) * (2H) * H = 6 * H^3

48 = 6 * H^3

48/6 = 8 = H^3

H = cube-root(8) = 2 cm

so ...

W = 2*H = 2*2 = 4 cm

L = (3/2)*W = (3/2)* 4 = 6 cm

Total Surface Area: A = 2*LW + 2*LH + 2*WH

A = 2*(6 * 4) + 2*(6 * 2) + 2*(4 * 2)

A = 2*24 + 2*12 + 2*8

A = 48 + 24 + 16

A = 48 + 40

A = 88 square cm

4 0

3 years ago

Solve the inequalities; 1. |4x + 5| + 2 ≥ 10 2. |2x + 3| + 6 > 0

slamgirl [31]

Answer:

Number two: x > -9/2, x < 3/2

Number one: x is less than or equal to 3/4, x is greater than or equal to - 13/4

Step-by-step explanation:

Number one:

|4x+5| > 10-2

|4x+5| > 8

4x+5 > 8

-(4x+5) > 8

x > 3/4

x < -13/4

x > 3/4, x < -13/4

(all of these signs are greater than or equal to and less than or equal to)

Number two:

|2x+3| > -6

2x+3 > -6

-(2x+3) > -6

x > -9/2

x < 3/2

x> -9/2, x < 3/2

(all of these signs are correct and not greater than or equal to or less than or equal to)

7 0

3 years ago