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2 years ago

Solve for X. 3/4x+7/8=4 1/4 Enter your answer as a mixed number in simplest form in the box.

Mathematics

1 answer:

neonofarm [45]2 years ago

6 0

Step-by-step explanation:

$\frac{3}{4} x + \frac{7}{8} = 4 \frac{1}{4}$

$\frac{3}{4} x = \frac{17}{4} - \frac{7}{8}$

$\frac{3}{4} x = \frac{34}{8} - \frac{7}{8}$

$\frac{3}{4} x = \frac{27}{8}$

$3x \times 8 = 27 \times 4$

$24x = 108$

$x = \frac{108}{24}$

$x = \frac{9}{2}$

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2 years ago

Evaluate the following expression. 5-3

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3 years ago

Given the points (5, 2) and (7, 10) find the slope of the line going through the two points . Now write the point-slope form of

drek231 [11]

Step-by-step explanation:

the slope of a line is specified as the ratio y/x. that indicates how many units y changes, when x changes a certain amount of units.

so, going e.g. from (5, 2) to (7, 10), x changes from 5 to 7 = +2 units. and y changes from 2 to 10 = +8 units.

so, the slope y/x = m = 8/2 = 4

the point-slope form is

y - y1 = m(x - x1)

m = slope

(x1, y1) = coordinates of one point on the line. let's pick the first point (5, 2).

y - 2 = 4(x - 5)

or then fully simplified (leading to the slope- intercept form) :

y - 2 = 4x - 20

y = 4x - 18

for question 2 we do the same thing for (4, -2) and (0, -5).

x changes from 4 to 0, so, -4 units.

y changes from -2 to -5, so, -3 units.

slope = y/x = m = -3/-4 = 3/4

since there is a 0 included, let's use (0, -5) as point for the point-slope form

y - -5 = 3/4(x - 0)

y + 5 = 3/4 x

so, the last option is correct.

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2 years ago

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KatRina [158]

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2 years ago

Read 2 more answers

Solve for q. a=qb+r What is q equal to? q=a−r−b q=a−r/b q=a/b −r q=a/rb

Mademuasel [1]

The given equation is $a=qb+r$

We need to solve the equation for q.

Value of q:

The value of q can be determined by solving the equation $a=qb+r$ for q.

Thus, subtracting both sides of the equation by r, we get;

$a-r=qb$

Now, dividing both sides of the equation by b, we have;

$\frac{a-r}{b}=\frac{qb}{b}$

Simplifying the terms, we get;

$\frac{a-r}{b}=q$

Therefore, the value of q is $q=\frac{a-r}{b}$

Hence, Option B is the correct answer.

7 0

3 years ago