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1 year ago

Translate to an equation and solve: the quotient of c and -19 is 38

Mathematics

1 answer:

Neko [114]1 year ago

6 0

If the quotient of c and -19 is 38, we can write an equation dividing c and -19, and the result is 38:

$\frac{c}{-19}=38$

Now, solving this equation for c, we have:

$\begin{gathered} c=-19\cdot38 \\ c=-722 \end{gathered}$

So the value of c is -722.

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When a decimal is written in word form, what indicates that the equivalent form is a mixed number and not a fraction?

Ede4ka [16]

If you are reading a story problem that says one and a half this would indicate the mixed number 11/2 or the decimal 1.5, which are all equivalent.

7 0

3 years ago

M 2 = 40°, m 4 = 150°, m 3 = 30 70 110 150

Anastasy [175]

A theorem suggests that an exterior is equivalent to the sum of two remote angles, so angle 4 = angle 2 + and 3

150 = 40 + x

x = 110

m^3 = 110

7 0

3 years ago

he vertices of a triangle are P(-3,8), Q(-6,-4), and R(1,1). Name the vertices of the image reflected in the X-axis

klemol [59]

Answer:

P'(-3, -8), Q'(-6, 4), R'(1, -1)

Step-by-step explanation:

When you reflect a point (x, y) across the x-axis, the x-coordinate remains the same, but the y-coordinate gets the opposite sign: it becomes (x, -y).

Thus, if a point P, say, (-3, 8) is eightn units above the x-axis, its reflection P' will be the same distance below, at (-3, -8).

Thus, we get the following transformations.

P (-3, 8) ⟶ P' (-3, -8)

Q (-6, -4) ⟶ Q' (-6, 4)

R (1, 1) ⟶ R' (1, -1)

Thus, the vertices of the reflected triangle are P' (-3, -8), Q' (-6, 4), R' (1, -1).

The image below shows ∆PQR and its reflection ∆P'Q'R' across the x-axis.

8 0

4 years ago

Find the value of x in the equation 2x²+3x+3=20

Zigmanuir [339]

Answer:

$x= \frac{-3 - \sqrt{145} }{4} \ \ or\ \ x= \frac{-3 + \sqrt{145} }{4}$

Step-by-step explanation:

2x² + 3x + 3 = 20

⇔ 2x² + 3x + 3 - 20 = 0

⇔ 2x² + 3x - 17 = 0

Using the Quadratic Formula to solve a Quadratic Equation :

$x= \frac{-b \pm \sqrt{b^{2}-4ac} }{2a}$

In the equation 2x² + 3x - 17 = 0

a = 2 , b = 3 and c = -17

Then

b² - 4ac = 3² - 4×2×(-17)

= 9 + 8 × 17

= 9 + 136

= 145

Then

b² - 4ac > 0

Then

$x= \frac{-3 \pm \sqrt{145} }{2 \times 2}$

Then

$x= \frac{-3 \pm \sqrt{145} }{4}$

8 0

1 year ago

Read 2 more answers

The Oregon Trail is 2197 miles long How long would it take a covered wagon traveling 20 miles a day to complete the trip? Write

Harlamova29_29 [7]

2197/20 = 109.85
the answer is 109 17/20

hope this helps

4 0

3 years ago

Read 2 more answers