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bulgar [2K]
3 years ago
10

Write 18 1/4 as a decimal ​

Mathematics
2 answers:
nevsk [136]3 years ago
7 0

Answer:

18.25

Step-by-step explanation:

1/4 = 0.25

alisha [4.7K]3 years ago
5 0

Answer: 18.25

Step-by-step explanation: Lets start off with this: 1/4 is the same as 25 (like if you use quarters, you know 4 quarters makes a dollar, and one quarter is 25)

So, since we have 18 and 25, converting it to a decimal is easy. Put the numbers together (18 and 25) Then just add decimal in the middle.

                   

                                                         OR

18 x 4 (which is 72) then add 72 to the numerator (1) which will give you 73 (72 + 1) Finally, divide 73 by 4, (4 is denominator) which will then give you 18.25 :D

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What is the equation of the line that passes through the point (6, -6) and has a slope of (-2, -2)
shutvik [7]

Answer:

y = -1/2x -3

Step-by-step explanation:

The steps to solve this include finding the slope of the line and finding the point where the line crosses the y axis.

Slope is Rise over Run or difference of the y values over the difference of the x values.

Rise = difference between -6 and -2 = 4

Run = difference between 6 and -2 = 8

So slope is 4/8.  The line slants downward from left to right so the slope is also negative.  Slope = - 4/8 or simplified to - 1 / 2

To find the y intercept, use the slope-intercept form equation:

y = mx + b where m is your slope and b is the y intercept.  Solve for b and use one or both of your points that you were given along with your slope.

-6 = -1/2(6) + b      OR    -2 = -1/2(-2) + b

-6 = - 3 + b                      -2 = 1 + b

-3 = b                                -3 = b

Now you can use your calculated slope and calculated b to form your equation.

y = mx + b

y = - 1/2x -3

4 0
3 years ago
How many cubes with side lengths of
liq [111]

The number of 1/3 cm-cubes that would fill the rectangular prism is approximately 20 cubes.

<h3>What is the Volume of a Cube?</h3>

Volume = a³, where a is the side length.

<h3>What is the Volume of a Rectangular Prism?</h3>

Volume = lwh

Given the following:

  • a = ⅓ cm
  • l = 4/2 cm = 1/2 cm
  • w = 2/2 cm = 1 cm
  • h = 3/2 cm

Volume of the rectangular prism = (1/2)(1)(3/2)

Volume of the rectangular prism = (1/2)(1)(3/2) = 0.75 cm³

Volume of the cube = (⅓)³ = 0.037 cm³

Number of cubes that would fill the prism = 0.75/0.037 ≈ 20 cubes.

Learn more about the volume of cube on:

brainly.com/question/1972490

#SPJ1

6 0
2 years ago
Encuentre el monto y el interés compuesto que se debe pagar si quitamos prestados 20,000.00 lempiras al 15% de interés anual por
uysha [10]

Answer:

huh

Step-by-step explanation:

5 0
3 years ago
| 7 + m | - 4 &gt; 8
cestrela7 [59]

Answer:

m > 5 or m < -19

Step-by-step explanation:

We are given the Inequality:

\displaystyle \large{ |7 + m|  - 4 > 8}

First, add both sides by 4.

\displaystyle \large{ |7 + m|  - 4 + 4 > 8 + 4} \\  \displaystyle \large{ |7 + m|  > 12}

<u>A</u><u>b</u><u>s</u><u>o</u><u>l</u><u>u</u><u>t</u><u>e</u><u> </u><u>V</u><u>a</u><u>l</u><u>u</u><u>e</u><u> </u><u>P</u><u>r</u><u>o</u><u>p</u><u>e</u><u>r</u><u>t</u><u>y</u>

\displaystyle \large{ |a|  =  \sqrt{ {a}^{2} } }

Given a = any expressions and b = any positive numbers, zero or any expressions.

\displaystyle \large{ |a|  =  b \longrightarrow a =  \pm b}

From the Inequality, change > to equal

\displaystyle \large{ 7 + m   =   \pm12}

Subtract 7 both sides.

\displaystyle \large{  7 - 7 + m   =  \pm12 - 7} \\ \displaystyle \large{  m   =   \pm12 - 7}

±12-7 can be 12-7 = 5 or -12-7 = -19

\displaystyle \large{  m   =   5, - 19}

Refer to the attachment. The region is when the absolute value function is greater than constant function y = 12 or a blue horizontal line.

Since the absolute graph is above constant graph when x > 5 and x <-19.

Therefore,

\displaystyle \large{  m    >  5, m < - 19}

3 0
3 years ago
2) Which variables represent the slope and y-intercept in slope-intercept<br> form?
oee [108]

Answer:

The variable that represent the slope is 'm' and the variable that represent the y-intercept is 'b'.

Step-by-step explanation:

The equation of a line in slope-intercept form is given as:

y=mx+b

Here, the variable 'm' is the coefficient of independent variable 'x' and represents the slope of the line.

The constant term in the given equation is 'b' and it represents the y-intercept of the given line.

Slope is defined as the ratio of rise or fall over run. In other words, slope is the ratio of change in value of 'y' with change in value of 'x'.

Slope is positive if change in 'y' is positive with increasing 'x' and it is negative if change in 'y' is negative with increasing 'x'.

y-intercept is the point where the line crosses the y-axis. So, the 'y' value of that point is y-intercept. The coordinates of the point is given as (0, b).

So, the variable used for the slope is 'm' and 'b' is used for y-intercept.

5 0
3 years ago
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