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3 years ago

M is the midpoint of XY. XM=10w+2 and MY=5w+22 WHAT IS XY??

Mathematics

2 answers:

marta [7]3 years ago

8 0

Answer:

84 units

Step-by-step explanation:

Since, M is the midpoint of XY.

$\therefore \: XM= MY \\ \\ 10w + 2 = 5w + 22 \\ \\ 10w - 5w = 22 - 2 \\ \\ 5w = 20 \\ \\ w = \frac{20}{5} \\ \\ w = 4 \\ \\ \because \: XY = 2XM \\ \\ \therefore \: XY = 2(10w + 2) \\ \\ \therefore \: XY = 2(10 \times 4+ 2) \\ \\ \therefore \: XY = 2(40+ 2) \\ \\ \therefore \: XY = 2 \times 42 \\ \\ \therefore \: XY =84 \: units$

Harlamova29_29 [7]3 years ago

7 0

Answer:

15w+24

Step-by-step explanation:

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Which points are solutions to the linear inequality y < 0.5x +<br> 2? Select three options.

Ymorist [56]

Answer:

Options (1), (3), and (5)

Step-by-step explanation:

In the figure attached,

An inequality has been graphed and the shaded region shows its solutions.

Inequality : y < 0.5x + 2

If the given points in the options lie in the shaded region, point will satisfy the inequality.

For (3, -2)

-2 < 0.5(3) + 2

-2 < 3.5 [True]

Therefore, (3, -2) point is the solution.

For (-2, 1)

1 < 0.5(-2) + 2

1 < -1 + 2

1 < 1 [Not true]

Therefore, (-2, 1) is not the solution.

For (-1, -2)

-2 < 0.5(-1) + 2

-2 < 1.5 [True]

Therefore, (-1, -2) is the solution.

For (-1, 2)

2 < 0.5(-1) +2

2 < 1.5 [Not True]

Therefore, (-1, 2) is not the solution.

For (1, -2)

-2 < 0.5(1) + 2

-2 < 2.5 [True]

Therefore, (1, -2) is the solution.

Options (1), (3) and (5) will be the answer.

7 0

4 years ago

The pond had 4 frogs, 3 turtles, and 2 ducks. The lake has the same ratio,

alex41 [277]

This was my thought process reading this problem( I divided 9 by 207 which is 23 and multiplied each number by that)

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3 years ago

Which of the following is the equation written in logarithmic form?

BaLLatris [955]

Given the expression $b^{3c+1}=5a-d.$

Take a logarithm $\log_b$ from both side of the given expression:

$\log_b b^{3c+1}=\log_b (5a-d).$

From the property $\log_a a^x=x,$ you have that

$\log_b b^{3c+1}=3c+1.$

Then

$3c+1=\log_b (5a-d).$

Answer: correct choice is C

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3 years ago

12. A Ford Taurus at Enterprise Rent-a-Car rents for $43.46 per day. You receive 150 free miles per day but are charged $0.25 pe

djyliett [7]

Price left for extra miles=60-43.46=16.54$

No of extra miles:-

$\\ \tt\hookrightarrow 16.54/0.25=66.16mi$

Now

Total average miles

$\\ \tt\hookrightarrow 159+66.16=216.16mi/day$

3 0

3 years ago

3. A full-price ticket for a college basketball game costs $2.50, and a student ticket costs $1.75. If

Dennis_Churaev [7]

Let's say x = full price tickets

Let's say y = student tickets

We can write two equations:

From "585 tickets were sold" we can make the equation:

x + y = 585

And from "Full-price ticket is $2.50 and student ticket is $1.75 and total receipts is $1,217.25"...we can make the equation:

2.50x + 1.75y = 1,217.25

So now we can use substitution to find our answer...since we only have to find how many student tickets...we will solve the first equation for x so we can plug that into the 2nd equation to solve for y.

x + y = 585

x + y - y = 585 - y

x = 585 - y

Now we plug that into our 2nd equation: 2.50 (585 - y) + 1.75y = 1217.25

Distribute your 2.50

1462.5 - 2.50y + 1.75y = 1217.25

Add the y's: 1462.5 - 0.75y = 1217.25

Subtract 1462.5 from both sides:

1462.5 - 0.75y - 1462.5= 1217.25 - 1462.5

-0.75y = -245.25

Divide both sides by -0.75:

y = -245.25/-0.75

y = 327

There were 327 student tickets :)

3 0

4 years ago