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IRINA_888 [86]
4 years ago
11

Point x is at 2/3 on a number line on the same number line , point y is the same distance from 0 as point x but has numerator of

8 what is the denominator of the fraction at point y draw number line to model the problem
Mathematics
1 answer:
Anna71 [15]4 years ago
6 0

Answer:

Step-by-step explanation:

Set this up as a proportion, leaving our unknown in the denominator of the second ratio:

\frac{2}{3}=\frac{8}{x}

Cross multiply to solve for x:

2x = 24 so

x = 12

But if it on the other side of 0, it has to be negative.  So the ratio is -8/12 which reduces to -2/3.

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Find the sum by first finding the equivalent fractions so that both of the fractions have common denominators. Three eighths plu
viktelen [127]

Answer:

A

Step-by-step explanation:

Times 3/8 by two and get the 6/16, which has the same denominator as 7/16. Then, add 6/16 and 7/16, and you'll get an answer of 13/16.

Hope this helped, have a wonderful rest of your week! :)

5 0
3 years ago
Read 2 more answers
You were billed $28.50 for additional data usage on your cell phone at a rate of $9 per gigabyte. Three choices are correct ways
Zepler [3.9K]

Answer:

b.) 9/g = 28.5

Step-by-step explanation:

a.) 9g = 28.5

b.) 9/g = 28.5

c.) 28.5 = 9 x g

d.) 28.5/9 = g

Total billing = $28.50

Rate = $9 per gigabyte

Calculate the additional gigabytes, g, that you used.

Additional gigabyte used, g = Total billing / Rate

g = $28.50 / $9

9g = 28.50

28.50 = 9 × g

g = 28.50 / 9

Option b.) 9/g = 28.5 is the incorrect way to calculate the additional gigabytes, g, that you used.

4 0
3 years ago
Janelys leans a 16-foot ladder against a wall so that it forms an angle of 61^{\circ} ∘ with the ground. How high up the wall do
Lilit [14]

The height the ladder reaches up the wall is 13.99ft

The ladder, the wall, and the ground form a right-angled triangle.

The ladder is the hypotenuse, or the longest side, of the triangle. The wall is opposite of the angle, 61^{\circ}, that the ladder makes with the ground.

The formula relating the angle the ladder makes with the ground, the ladder, and the wall is the trigonometric ratio

sin 61^{\circ}=\dfrac{\text{wall height}}{\text{ladder length}}

substituting the values for the ladder length, and sin61^{\circ}, and solving, we get

0.8746=\dfrac{\text{wall height}}{16}\\\\\text{wall height}=0.8746\times16\approx13.99ft\text{ (to the nearest hundredth)}

Learn more about trigonometry here brainly.com/question/10726141

5 0
2 years ago
Please help me with these problems. This is not multiple choice. Part 3​
Ivan

9514 1404 393

Answer:

  5. 8 ft

  6. y = 47x +110; 533 students in 2019

Step-by-step explanation:

4. Answered for you previously. See brainly.com/question/21087377.

__

5.

<u>Given</u>:

  triangular garden with base 7 ft and area 28 ft^2

<u>Find</u>:

  height of the triangle

<u>Solution</u>:

The formula for the area of a triangle is ...

  A = 1/2bh . . . . . where A is the area, b is the base length, and h is the height

Multiplying by 2/b, we can get a formula for the height. Using this formula, we can solve the problem.

  h = 2A/b

We can let h represent the height, and fill in the given data.

  h = 2(28 ft^2)/(7 ft)

  h = 8 ft

The height of the triangle is 8 feet.

__

6.

<u>Given</u>:

  (0, 110), (5, 345) . . . . . where the points represent ...

     (years after 2010, students using the hotline)

<u>Find</u>:

  a linear model for the data

  the number of students predicted for 2019

<u>Solution</u>:

The 2-point form of the equation for a line is ...

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

where the points are (x1, y1) and (x2, y2). Using the given points, our linear model is ...

  y = (345 -110)/(5 -0)(x -0) +110

  y = 47x +110 . . . . the linear model, where ...

     y is the number of students using the hotline

     x is the number of years after 2010

__

In 2019, x = 9, so y = ...

  y = 47(9) +110 = 423 +110 = 533

The number of students predicted to use the hotline in 2019 is 533.

5 0
3 years ago
Read 2 more answers
Dave has 25 3/4 feet of piping and needs to cut it in 1 1/2 foot measurements for a project. How many pieces of piping will he e
Ostrovityanka [42]

Answer: 17 1/6 or  17-18

(u guess which is right if its an integer ^^)

Step-by-step explanation:

25 3/4 ÷ 1 1/2

First change the mixed fractions to improper fractions.

<u>25 3/4 </u>= <u>103/4</u>

<u>1 1/2 </u>= <u>3/2</u>

Now divide: 103/4 ÷ 3/2

103/4 * 2/3 (multiply by flipping the second fraction)

= 206/12

Now divide: 206 ÷ 12

= 17 2/12 (<u>simplified:</u> 17 1/6)

<u><em>The answer will be 17 1/6 </em></u> (OR 17-18)

5 0
1 year ago
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