How can you write and
solve equations involving rational numbers?

Step-by-step explanation:

Given

f(x) = 8x - 9

Then

For a.

f(3y - 1 ) = 8(3y - 1 ) - 9

= 24y - 8 - 9

= 24y - 17

Now for b.

f(x) = - 23

or, 8x - 9 = - 23

8x = - 23 + 9

8x = - 14

x = - 14 / 8

x = - 7 / 4

Hope it will help :)

Answer:

x = 2

Step-by-step explanation:

Solve for x

x - 1  = -2x + 5

3x = 6

x = 2

Answer: 3

Step-by-step explanation:

1×-2=-2

-2+5=3

-2×1+5=3

I hope this helps, have a good day or night:)

Answer:

The answer is 76.97

Step-by-step explanation:

The formula that I used

V=πr^2h

Volume = π·3.52·2 ≈ 76.96902

Answer:76.93

Step-by-step explanation:

Answer:

158cm squared

Step-by-step explanation:

Area of triangle=1/2×b×h

Area of rectangular base of prism=l×w

Area of 2 rectangular sides of the prism=l×w

So Total surface area= 1/2×6×5×2)+(8×6)+(8×5×2)=158cm squared

Answer:

√53

Step-by-step explanation:

hypotenuse (h) = √89

base (b) = 6

perpendicular (p) = ?

we know by using Pythagoras theorem

p = √(h² - b²)

= √(√89)² - 6²

= √ 89 - 36

= √ 53

Answer:

2.35

Step-by-step explanation:

Answer:

2.35

Step-by-step explanation:

move decimal point left 2

Answer:

9

Step-by-step explanation:

20% is equivalent to the decimal .2

Then multiply .2 x 45

45(.2) = 9

Answer:

3/5

Step-by-step explanation:

can you mark me branliest please!!!

Answer:

well in a fraction it's

3/5

Hope this helps a little :)

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

2 dozen = 24 cookies

24*(2/3) = 16 cookies are oatmeal

Answer:

The group of line segments that could form the other 2 sides of the triangle is;

B. 7 cm and 8 cm

Step-by-step explanation:

The triangle inequality theorem states that the sum of the length of any two sides of a triangle is larger than the length of the third side

The given parameter of the triangle is that the length of the longest side of the triangle = 10 cm

Let, 'a', and 'b', represent the remaining two sides of the triangle

Therefore, by the triangle inequality theorem, we have;

(1) a + b > 10 cm

(2) 10 cm + a > b

(3) 10 cm + b > a

The option that satisfies condition (1), (2), and (3) are options 'B' and 'D', for which we have;

7 cm + 8 cm = 15 cm > 10 cm

10 cm + 7 cm = 17 cm > 8 cm

10 cm + 8 cm = 18 cm > 7 cm

9 cm + 10 cm = 19 cm > 10 cm

10 cm + 9 cm = 19 cm > 10 cm

10 cm + 10 cm = 20 cm > 9 cm

Therefore, the possible combination of the other two sides are;

7 cm and 8 cm or 9 cm and 10 cm

However, a side of option 'D' is 10 cm and given that the longest side of the triangle = 10 cm, the length of each of the other two side should be less than 10 cm and the only given possible combination of the other two side should be option 'B', 7 cm and 8 cm.

Answer:

B 7cm and 8cm

Step-by-step explanation:

Answer:

Oi tudo bem?

meu nome é Ana Kesia, e qual é o seu nome também?

Desculpe-me eu Nn consegui responder sua pergunta.

Mas mesmo assim, agradeço pelos pontos estava precisando.

tchau, tenha uma Ótima tarde!

Bons estudos nas suas atividades! ❤♥

Answer: It is false

Step-by-step explanation:

2/4x3/5=3.14

1/2 x 3/5=3.14

3/10=3.14

0.3=3.14

This is false

Answer:

Hey mat its me haylee id k if you remember me cuz its been a long while and im sorry about that but id like to talk again sometime soon.

Step-by-step explanation:

Answer:

what is the question? please write a question.

Answer:

128°

Step-by-step explanation:

x + 154° + 78° = 360° {being complete turn}

x + 232° = 360°

x = 360° - 232°

x = 128°

someone report this so it will get taken down

Answer:

50 percent

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

this isnt my answer it is someone named baylee in the comments, i tried it and it was right .

As per the given data, the slope-intercept form of the first equation is y = x - 5, which is represented by option A.

The slope-intercept form of a linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept.

The equation that represents the first equation written in slope-intercept form is:

y = x - 5

To convert the equation 5x - 2y = 10 into slope-intercept form, we need to isolate y on one side of the equation.

Starting with 5x - 2y = 10:

Subtract 5x from both sides: -2y = -5x + 10

Divide both sides by -2: y = (5/2)x - 5

Now, we can simplify the expression (5/2)x - 5 to the form y = mx + b, where m is the slope and b is the y-intercept.

Therefore, the correct option is A.

For more details regarding slope-intercept, visit:

https://brainly.com/question/30216543

#SPJ7

Click on the image and check the answer

Answer:

58.69 gallons is the maximum she can get.

Step-by-step explanation:

165 + 2.3g ≤ 300

subtract 165 from both sides

2.3g ≤ 135

divide by 2.3 on both sides

g ≤ 58.6956521739

Answer:

LOL i belive its 200 because i did this exact same thing yesterday for homework and got it right so yeah i guess it is?

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

a. 5t+4t =9t

b. t+5+4= t+9

c. 9t

d. 4×5×t= 20t

e. t(5+4)- do the inside the parenthesis first. =9t

the answer would me B and A because the answer isn't 9t so it would be those!! also the boxes on the right you multiply t×5 and t×4 and that would be 5t + 4t =9t

Answer:

n = 12 , m = 5

Step-by-step explanation:

since it is said it is a parallelogram so opposite sides are equal

n = 12 (being opposite sides of parallelogram)

m + 1 = 6 (being opposite sides of parallelogram)

m = 6 - 1

m = 5

Hope it will help :)

Answer:the answer on the bottom is wrong you need to find the variable not x

Step-by-step explanation:

I got it wrong that’s why I said it

Answer:

The months in which the income was greater than the expenses are;

June, July, and August

Step-by-step explanation:

The recorded income and expenses for the bakery are given as follows;

[tex]\begin{array}{cccc}Month&Income \ (\$)&Expense \ (\$)& Difference \ (\$)\\January&1,606&1,664.75 & (58.75)\\February&1,378&1,432.62 & (54.62)\\March&1,225&1,225.00&0.00\\June&2,381&1,995.55&385.45\\July&2,391&2,083.68&307.32\\August&2,187&1,802.63&384.37\end{array}[/tex]

From the difference values obtained in the table above, the months in which the income was greater than the expenses are;

June, July, and August

Answer:

Step-by-step explanation:

Look at picture

Answer:

Yep your very smart

Step-by-step explanation:

Answer:

yep

Step-by-step explanation:

since a triangle's total angle is 180 degrees,

(5x + 18) + (3x + 2) + (x + 16) = 180

9x + 36 = 180

9x = 144

x = 16

m<D = (3x + 2)

m<D = 3(16) + 2

m<D = 48 + 2

m<D = 50 (your answer)

Answer:

The volume of the metal is:

[tex]V_{t}=548\: cm^{3}[/tex]

Step-by-step explanation:

First, let's find the volume of the front face of the square:

[tex]V_{1}=12*7*1=84\: cm^{3}[/tex]

The back face is the same, so we have:  

[tex]V_{2}=84\: cm^{3}[/tex]

The volume of the side faces will be:

[tex]V_{3}=7*10*1=70\: cm^{3}[/tex]

[tex]V_{4}=70\: cm^{3}[/tex]

And finally, the volume of the top and bottom side faces of the box will be:

[tex]V_{5}=12*10*1=120\: cm^{3}[/tex]

[tex]V_{6}=120\: cm^{3}[/tex]

The total volume of the metal will be:

[tex]V_{t}=V_{1}+V_{2}+V_{3}+V_{4}+V_{5}+V_{6}[/tex]

[tex]V_{t}=2(84)+2(70)+2(120)[/tex]

[tex]V_{t}=548\: cm^{3}[/tex]

I hope it helps you!

Answer:

Step-by-step explanation:

Sorry

Answer:

1380

Step-by-step explanation:

Using proportion, then

1 Km² → 60 people , then

23 Km² → 60 × 23 = 1380 people