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2 years ago

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Mathematics

1 answer:

Igoryamba2 years ago

8 0

Answer:

w-2 < -25

Step-by-step explanation:

"Difference" means subtraction.

Less than is the same as the symbol <

The statement can also mean that -25 is greater than w-2.

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If the ratio of the length of a rectangle to its width is 9/4 and its length is 18 cm, what is the width of the rectangle?

Kruka [31]

Answer:

The width is 8

Step-by-step explanation:

if the ratio of length to width is 9 to 4. and we know the length is 18, 18 is 2 times as much as 9, so 4*2=8. 9*2=18,4*2=8

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2 years ago

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A guide wire for a palm tree makes a 32°angle with the ground and is staked 6 feet from the base of the tree. What is the length

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Answer:

b) 8.5 feet

Step-by-step explanation:

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Christian’s Gym charges a one-time fee of $50 plus $30 per session for a personal trainer.

nydimaria [60]

Answer: For 10 sessions, the cost of the two plans the same.

Step-by-step explanation:

Let x= Number of sessions.

Given: Christian’s Gym charges a one-time fee of $50 plus $30 per session for a personal trainer.

Total charge for x sessions = 50+30x

Nicole's fitness center charges a yearly fee of $250 plus $10 for each session with a trainer.

Total charge for x sessions = 250+10x

When both plan charges the same, then

$50+30x=250+10x\\\\\Rightarrow\ 30x-10x=250-50\\\\\Rightarrow\ 20x=200\\\\\Rightarrow\ x=10$

i.e. For 10 sessions, the cost of the two plans the same.

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2 years ago

Horizontal line that goes through the origin

creativ13 [48]

Answer:

x axis? is that what your asking

Step-by-step explanation:

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2 years ago

Which statement is true about the line represented on the equation y + 7 = -3 (x - 2/9) ?

Zarrin [17]

<u>ANSWER</u>

The point $(\frac{2}{9},-7)$ lies on the straight line $y+7=-3(x-\frac{2}{9})$

<u>EXPLANATION</u>

The given line is $y+7=-3(x-\frac{2}{9})$ . It can be observed that the given straight line is in the point-slope form.

We can rewrite the equation in the point-slope form to obtain,

$y--7=-3(x-\frac{2}{9})$ .

When we compare this to the general point-slope form, which given by the formula;

$y-y_1=m(x-x_1)$ ,

We can observe that,

$x_1=\frac{2}{9}$ and $y_1=-7$ .

Hence the point, $(x_1,y_1)=(\frac{2}{9},-7)$ lies on $y+7=-3(x-\frac{2}{9})$

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3 years ago