Type your answer into the box.
Canberra to Melbourne is 670 km.
Round the trip to the nearest hundred kilometres.
km

a = 29 / 12

b = 56 / 24

c = 129 / 50

a = 2.42

b = 2.33

c = 2.58

b is cheapest, 24 for $56

Put value of y in Equation 1 in Equation 2.

[tex] \looparrowright \sf y + 1 = - 4x[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf (x + 2) + 1 = - 4x[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf x + 2 + 1 = - 4x[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf x +3= - 4x[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf x + 4x= - 3[/tex]

[tex] \\ \\ [/tex]

[tex]\looparrowright \sf 5x= - 3[/tex]

[tex] \\ \\ [/tex]

[tex]\looparrowright \sf x= \dfrac{ - 3}{5} [/tex]

[tex] \\ \\ [/tex]

Let's find value of y :

[tex] \\ \\ [/tex]

[tex]\looparrowright \sf y=x+2[/tex]

[tex] \\ \\ [/tex]

[tex]\looparrowright \sf y= \dfrac{ - 3}{5} +2[/tex]

[tex] \\ \\ [/tex]

[tex]\looparrowright \sf y= \dfrac{ - 3 + 10}{5} [/tex]

[tex] \\ \\ [/tex]

[tex]\looparrowright \sf y= \dfrac{7}{5} [/tex]

Solution:

[tex]\looparrowright \sf \bigg( \dfrac{ - 3}{5} , \dfrac{7}{5} \bigg)[/tex]

Answer:

a. 9m + 8×$20 = $340

b. 9×$10.50 + 8×$10.50 = $178.50

Step-by-step explanation:

Its self-explanatory

Answer:

total sum (s)= 6

probability of getting a 3 = 3÷6

= 1÷2

Step-by-step explanation:

probability of getting a 7 =0÷7

=0

probability of getting less than 5 =4÷6

2÷3

Answer:

21 degrees

Step-by-step explanation:

I'm assuming that the 0 is supposed to be theta, which I'm replacing with x to make it easier for me to type.

Because these angles are acute, we can use the fact that if two angles A and B are complementary, then sinA = cosB.

So we can get that x+4+3x+2=90

4x+6=90

4x=84

x=21

Answer:

➢ Line segments are congruent if they have the same length. However, they need not be parallel. They can be at any angle or orientation on the plane. ... If you drag any of the four endpoints, the other segment will change length to remain congruent with the one you are changing.

[tex]Into \: your Arms[/tex]

#CarryOnLearning

Answer:

No, they are not

Step-by-step explanation:

Line segments are congruent if they have the same length. However, they need not be parallel. They can be at any angle or orientation on the plane.

If you drag any of the four endpoints, the other segment will change length to remain congruent with the one you are changing.

Answer:

/\ABC------/\DEF

the ratio of the the corresponding sites must be same

AB/AC=DE/DF

AB/30=4/5

AB=(4/5)30

AB=24

HOPE IT HELPED.

PLEASE MARK BRAINLIEST

Step-by-step explanation:

the volume of the tank is

80×50×45 = 180,000 cm³

3/4 of that volume is

180000 × 3/4 = 135,000 cm³

so, we want to know how long it takes to fill 135,000 cm³.

the water intake flow is 9 l / minute.

now we need to know that a cube of 10 cm side length contains exactly 1 liter of water.

such a cube has the volume

10×10×10 = 10³ = 1000 cm³

so, 1000 cm³ = 1 liter.

and we need to fill 135,000 cm³.

how many times fit 1000 cm³ into 135,000 cm³ ?

135000/1000 = 135 times.

and that means it would take 135 minutes to fill it, if the flow was 1 l / minute.

but it is faster (9 times faster) : 9 l / minute

so, how many minutes ?

135 / 9 = 15 minutes

it takes 15 minutes to fill 3/4 of the tank.

Answer:

15 minutes

Step-by-step explanation:

The volume (V) of the tank is calculated as

V = lbh (l is the length, b the breadth and h the height (

here l = 80, b = 50, h = 45 , then

V = 80 × 50 × 45 = 180000 cm³

1 litre = 1000 cm³ , then

9 litres = 9 × 1000 = 9000 cm³

Divide the volume of the tank by 9000 for time in minutes

180000 ÷ 9000 = 20 minutes

It takes [tex]\frac{3}{4}[/tex] × 20 = 15 minutes to fill [tex]\frac{3}{4}[/tex] of the tank

Answer:

it's C

Step-by-step explanation:

Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately  5.88\times 10^{12}5.88×1012 miles. Suppose a star is 2.23\times 10^22.23×102 light years from Earth.

To find : In scientific notation, how many miles away a star is from earth?

Solution :

One light-year is the distance that light can travel in one year is 5.88\times 10^{12}5.88×1012 miles.

In 2.23\times 10^22.23×102 lights year the distance is  

=5.88\times 10^{12}\times 2.23\times 10^2=5.88×1012×2.23×102

=1.31124\times10^{15}=1.31124×1015

Therefore, Option C is correct.

Step-by-step explanation:

[tex]36 - {b}^{2} - {c}^{2} + 2bc[/tex]

Factor out -1

[tex] - ( - 36 + {b}^{2} + {c}^{2} - 2bc[/tex]

[tex] -( (b + c) { }^{2} - 36[/tex]

[tex] - (b + c + 6)( b + c - 6)[/tex]

Answer: 2x+3 and -1

Step-by-step explanation:

a)

[tex]A=\pi r^2 = 4\pi x^2 + 12\pi x + 9\pi\\r^2 = 4x^2 + 12x + 9\\r^2 = (2x+3)^2\\r = 2x+3[/tex]

b) Radius has to be greater than 0, so 2x + 3 > 0

2x > -3

x > -1.5

So least possible integer value is -1

A rectangular fraction model can be drawn based on this idea: Annie had a total of cookies 20 but she gave 9 cookies to her friends, how many cookies does she have?

A rectangular fraction model refers to using a rectangle and dividing it to represent and understand fractions. This might be easier than representing fractions by only using numbers.

The first step is to think about a possible situation or word problem. After this, you can draw the fraction model. For example:

For this, divide a rectangle in the total of parts (20) and color the total of parts that Annie has (11). This means the total of cookies she has is 11/20.

Learn more about rectangles in: https://brainly.com/question/10046743

Answer:

yes

Step-by-step explanation:

see the attachement

Answer:

-7

Step-by-step explanation:

A equation is given to us and we need to find out the value of x . The given equation is ,

[tex]\longrightarrow 3( x +5)=-6 [/tex]

Simplify the parenthesis ,

[tex]\longrightarrow 3x + 3(5)=-6[/tex]

Simplify,

[tex]\longrightarrow 3x +15 = -6[/tex]

Subtracting 15 to both sides ,

[tex]\longrightarrow 3x =-6-15[/tex]

Simplify,

[tex]\longrightarrow 3x = -21 [/tex]

Divide both sides by 3,

[tex]\longrightarrow x = -7 [/tex]

This is the required answer!

here u go, if u need it clearer I will re write just tell me

Answer:10.4 or -0.4

Step-by-step explanation:

The explanation is in the attached file below

Okay, so the function is to do x times 2, then subtract 4.

6 x 2 = 12, 12 - 4 = 8. The first one is 8.

2 x 2 = 4. 4 - 4 = 0.

-4 x 2 = -8. -8 - 4 = -12. The last is -12.

With this information we can tell that it is C, 8, 0, -12.

Answer:

25th term = 701

Step-by-step explanation:

see attached

have a great day :)

Answer:

2 tens and 8 ones

Step-by-step explanation:

2 tens =20 , 8 ones = 8 . 20+8=28

Hope this helped

Answer: C) 7 years

There's not much explanation other than I did an online search for the answer. Many sources I'm finding are saying "up to 7 years", which means that is the longest it will stay on the credit report.

Step-by-step explanation:

Slope formula:

[tex] \frac{y2}{x2} - \frac{y1}{x1} = m[/tex]

m = slope

Substitute the points into the formula format:

[tex] \frac{4}{5} - \frac{4}{3} = m[/tex]

Solve:

[tex] \frac{0}{2} = m[/tex]

The slope is 0.

The line doesn't increase or decrease.

Answer:

The cost for a towel at 4 for $17 is:

17/4 = 4.25 $/towel

The cost for a towel at 2 for $9 is:

9/2 = 4.5 $/towel

So Shaunda is correct, as the cost per towel for 4 at $17 is lower.

Answer:

y = -4x + 15

Step-by-step explanation:

slope of y = x/4 - 2 is 1/4

slope of line perpendicular to above line is -4

so y = -4x + b

use (4, -1)

-1 = -4(4) + b

b = 16 - 1 = 15

so

y = -4x + 15

Answer:

x > -5/8

Step-by-step explanation:

Simplify by combining x and 4/5 and then moving 4 to the left side of x

-x * 4/5 + 3/10 < 8/10

-4x/5 + 3/10 < 8/10

Now we cancel the common factor of 8 and 10.

Factor 2 out of 8

-4x/5 + 3/10 < 2(4)/10

2 from 10

-4x/5 + 3/10 < 4/5

Now move all the terms not containing x to the right side

Lets subtract 3/10 from both sides

-4x/5 < 4/5 - 3/10

Now we multiply by 2/2 to write 4/5 with a common denomi.

-4x/5 < 4/5 * 2/2 - 3/10

Now write with a common denom of 10 and multiply by 1

-4x/5 < 4*2/5 * 2 - 3/10

5 by 2

-4x/5 < 4 * 2/10 - 3/10

Combine

-4x/5 < 4 * 2 - 3/10

Simplify the numerator by multiplying then subtracting

-4x/5 < 8 - 3/10

-4x/5 < 5/10

Cancel the common factor of 5 and 10...

-4x/5 < 5(1)/10

-4x/5 5* 1/5 * 2

-4x/5 < 1/2

Now we divide by -1

-4x/5)/-1 > 1/2)/-1

4x/5 > 1/2)-1

4x/5 > -1/2

Multiply both sides by 5 and cancel common factors. (5)

4x * 5 > -1/2 * 5

4x > -1/2 * 5

4x > -5/2

Now divide by 4 in each term

4x/4 > -5/2)/4

x > -5/2)/4

Multiply the numer by the reciprocal of the denom

x > -5/1 * 1/4

x > -5/4 * 2

x > -5/8

Answer:

[tex]\displaystyle y = \frac{1}{4}\, x + 2[/tex].

Step-by-step explanation:

The question is asking for the slope-intercept equation of a line. The slope-intercept form equation of a line is in the form [tex]y = m\, x + b[/tex], where:

For example, the equation of the first line, [tex]y = -4\, x + 1[/tex], is given in slope-intercept form. The slope of that line is [tex]m_{1} = (-4)[/tex] while the [tex]y[/tex]-intercept of that line is [tex]b_{1} = 1[/tex].

Both [tex]m[/tex] and [tex]b[/tex] need to be found for the second line.

Start by finding the slope [tex]m_{2}[/tex] of the second line.

Make use of the fact that if two lines in a plane are perpendicular to one another, the product of their slopes would be [tex](-1)[/tex]. In other words, if a line with slope [tex]m_{1}[/tex] is perpendicular to a line with slope [tex]m_{2}[/tex], then [tex]m_{1}\, m_{2} = (-1)[/tex]. Rearrange to obtain [tex]m_{2} = (-1) / m_{1}[/tex].

In this question, since the slope of the first line is [tex]m_{1} = (-4)[/tex], the slope of the second line (perpendicular to the first line) would be [tex]m_{2} = (-1) / (-4) = (1/4)[/tex].

Thus, the equation of the second line would be of the form [tex]\displaystyle y = (1/4)\, x + b_{2}[/tex] for some constant [tex]b_{2}[/tex] that needs to be found.

Make use of the fact that the second line goes through the point [tex](-4,\, 1)[/tex] to find the value of [tex]b_{2}[/tex]. Since the point [tex](-4,\, 1)\![/tex] is on the second line, the equation of the second line should hold after substituting in [tex]x = (-4)[/tex] and [tex]y = 1[/tex]. That is:

[tex]1 = (1/4)\times (-4) + b_{2}[/tex].

Solve this equation for [tex]b_{2}[/tex]:

[tex]b_{2} = 2[/tex].

Therefore, the equation of the second line would be [tex]y = (1/4)\, x + 2[/tex].

Answer:

D) 57

Step-by-step explanation:

180 - 123

Answer:

18

Step-by-step explanation:

20% = .20

90 x .20=18

Hence, 18 kids own their own instruments

[RevyBreeze]