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2 years ago

Jane wants to go to her school's Prom Night. A ticket costs $120. Jane saved $30 months ago, however to earn

Mathematics

1 answer:

Anarel [89]2 years ago

5 0

Answer:

30 + 5d ≥ 120

Step-by-step explanation:

One ticket costs $120 and she already has $30 saved up so the money she makes by dogwalking added to the $30 has to be equal to or greater than 120

30 for the amount she saved up
5d where d stands for the number of days she walks dogs
Make this information into one part of the inequality: 30+5d
Then this has to be greater than or equal to 120 so:

30+5d≥120

Hope this helps!

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Can somebody help me ?? please .

solniwko [45]

Answer: First let’s find x.

A straight line adds up to 180 degrees. So wen know that X and the 81 degree angle should add up to 180, so x+81=180 is our equation. Let’s solve.

Subtract 81 from 180

You get x=99 degrees.

Let’s now find Y.

We know because of the alternate interior angles property that x will have to equal 3y-9. We already know x is 99. Let’s set up an equation. 3y-9=99 let’s add our 9. We get 108. Divide by 3. We get y=36.

Step-by-step explanation:

PLEASE ASK ANY FURTHER QUESTIONS IF YOU STILL DONT UNDERSTAND :)

6 0

2 years ago

Read 2 more answers

For the functions f(x)=4x−3 and g(x)=3x2+4x, find (f∘g)(x) and (g∘f)(x).

barxatty [35]

Answer:

(16x + 21) and (16x - 6)

Step-by-step explanation:

f(g(x)) = f(6 + 4x)

Applying the f(x) function on (6 + 4x) gives

4(6 + 4x) - 3

Which equals 16x + 24 - 3

= 16x + 21

g(f(x)) = g(4x - 3)

Applying the g(x) function on (4x - 3) gives

6 + 4(4x - 3)

Which equals 6 + 16x - 12

= 16x - 6

7 0

2 years ago

A farmer uses 3/5 of his land to grow cassava, 1/3 of the remainder for yam and the rest for maize. Find the part of the land us

alexira [117]

Answer:

Step-by-step explanation:

Cassava = 1/3 of his land

Remaining after planting Cassava = 1 - 1/3 = 2/3 of his land

Maize = 2/5 x 2/3 = 4/15 of his land

Vegetables = 2/3 - 4/15 = 2/5 of his land

If vegetables = 10 acres

2/5 of his land = 10 acres

1/5 of his land = 10 ÷ 2 = 5 acres

5/5 of his land = 5 x 5 = 25 acres

4 0

2 years ago

Regular hexagon ABCDEF has vertices at A(4, 4!3), B(8, 4!3), C(10, 2!3), D(8, 0), E(4, 0) and F(2, 2!3).

marissa [1.9K]

Since the given hexagon is a regular hexagon all it's sides will be of equal length. Now, we know that the Area of any regular hexagon is given by:

$A=\frac{3\sqrt{3}}{2} a^2$

Where $A$ is the area of the regular hexagon

$a$ is the side length of the regular hexagon

Also, it's Perimeter is given by:

$P=6a$

Thus, all that we need to do is to find the side length of any one of the sides and to do that let us have a look at at the data of vertices points given and find out which points are definitely adjacent to each other and are also easy to calculate.

A quick search will yield that D(8, 0) and E(4, 0) are definitely adjacent to each other.

Please check the attached file here for a better understanding of the diagram of the original regular hexagon. Points D and E indeed are adjacent to each other.

Let us now find the distance between the points D and E using the distance formula which is as:

$d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

Where $d$ is the distance.

$(x_1,y_1)$ and $(x_2,y_2)$ are the coordinates of points D and E respectively. (please note that interchanging the values of the coordinates will not alter the distance $d$ )