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3 years ago

Evaluate the expression: -6 ( -3/12 ) ( -4 ) ( 5) divided by ( 10 ) Please show your work

Mathematics

1 answer:

blagie [28]3 years ago

8 0

Answer:

-3

Step-by-step explanation:

firstly, -3/12 is not in the simpliest form so we have to simplified it:

-3/12 / 3 = -1/4, now we got:

= (-6*(-1/4)*-4*5) / 10

The upper part of the equation: (-6*(-1/4)*-4*5) can be simplified as:

((-6*-1*-4*5) / 4) / 10

= (-120/4)/10

= -30 / 10

= -3

Hope this help you :3

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6. Find QR, if area and altitude PS of ∆PQR are given<br> ar(∆PQR) = 180 cm2, PS = 15

Slav-nsk [51]

Given:

Area and altitude PS of ∆PQR are ar(∆PQR) = 180cm² and PS = 15.

To find:

The measure of side QR.

Solution:

According to the given information, PS is an altitude of ∆PQR. It means QR is the base of ∆PQR.

We know that, the area of a triangle is

$Area=\dfrac{1}{2}\times Base\times Height$

$ar(\Delta PQR)=\dfrac{1}{2}\times QR\times PS$

Substituting the given values, we get

$180=\dfrac{1}{2}\times QR\times 15$

$180\times 2=QR\times 15$

$360=QR\times 15$

Divide both sides by 15.

$\dfrac{360}{15}=QR$

$24=QR$

Therefore, the measure of side QR is 24 cm.

3 0

3 years ago

Jace is a songwriter who collects royalties in his songs whenever they are played in a commercial or a movie. Jace will earn $50

VashaNatasha [74]

Jace's song were played on 8 commercials and 2 movies

<h3>Further explanation</h3>

Simultaneous Linear Equations could be solved by using several methods such as :

<em>Elimination Method</em>
<em>Substitution Method</em>
<em>Graph Method</em>

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

<em>Number of Commercials = C</em>

<em>Number of Movies = M</em>

$\texttt{ }$

<em>Jaces songs were played on 6 more commercials than movies.</em>

$\boxed{C = 6 + M}$ → <em>Equation 1</em>

$\texttt{ }$

<em>Jace will earn $50 every time one of his songs is played in a commercial and he will earn $140 every time one of his songs is played in a movie.</em>

<em>His total earnings in the royalties from all commercials and movies was $680.</em>

$\boxed{50C + 140M = 680}$ → <em>Equation 2</em>