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3 years ago

Solve the system: 10x-9y=8 21y+15x=0.5

Mathematics

1 answer:

artcher [175]3 years ago

3 0

Answer:

x = 1/2 y = -1/3

Step-by-step explanation:

Split it into 2 equations:

10x-9y=8

and

21y+15x=0.5

10x - 9y = 8

Step 1: Divide both sides by 10:

x = (8+9y)/(10)

Substitute x = (8+9y)/(10) into 21y+15x=0.5 :

21y + (3(8+9))/(2) = 0.5

Solve for y

y= -1/3

Substitute y= -1/3 into x = (8+9y)/(10)

x = 1/2

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Arlecino [84]

Answer:

Step-by-step explanation:

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15 + 9 = 24

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$72 / 24 boxes = 3

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3 years ago

The first figure is dilated to form the second figure.

Alja [10]

1) The scale factor is 0.25 is true.

Step-by-step explanation:

Step 1:

The first figure is dilated to form the second figure. The shape is a rhombus.

It is given that the side length of the first figure is 5.8 and the side length of the second figure is 1.45.

Step 2:

To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling. In this case, it is the side length of the rhombus.

The scale factor $= \frac{1.45}{5.8} = \frac{1}{4} = 0.25.$

So the scale factor is 0.25. This is the first option.

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3 years ago

Help!!!! Measure the angle and classify it as right, acute, or obtuse. <2

nalin [4]

Answer:

B. 25, acute

Step-by-step explanation:

It is acute because it is less than 90°

4 0

3 years ago

Please help! Brainliest

Mama L [17]

1.301

Explanation:

Given:

$\log_a5 \approx 0.699$ and $\log_a2 \approx 0.301$

Note that from the properties of logarithms,

$\log_a20 = \log_a(5×4)$

$\:\:\:\:\:\:\:\:\:\:= \log_a(5×2^2)$

$\:\:\:\:\:\:\:\:\:\:=\log_a5 + \log_a(2)^2$

$\:\:\:\:\:\:\:\:\:\:=\log_a5 + 2\log_a2$

$\:\:\:\:\:\:\:\:\:\:\approx 0.699 + 2(0.301)$

$\:\:\:\:\:\:\:\:\:\:= 1.301$

6 0

3 years ago

the diameter of a bike wheel is 25 inches. If the wheelmakes 20 Complete rotations, how far does the bike travel?

Iteru [2.4K]

Answer:

1571 in

Step-by-step explanation:

Given data

Diamter= 25 in

radius= 25/2= 12.5in

Circumference= 2πr

substitute

C=2*3.142*12.5

C=78.55in

In 1 revolution the bike will travel 78.55in

in 20 revolutions the bike will travel

=78.55*20

=1571 in

4 0

3 years ago