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3 years ago

Please help me simplify the expression where possible. (r-3s2t)4

Mathematics

1 answer:

jeyben [28]3 years ago

7 0

Answer:

4r - 96st

Step-by-step explanation:

Distribute:

4r - 12s8t

(I assume by 12s8t you mean 12s x 8t. If so then here:)

4r - 96st

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4 less than half a number is equal to 2 more than the number

xxMikexx [17]

Answer:

$-12$

Step-by-step explanation:

Let that number be $x$ . We can build an equation, and solve for $x$ .

$4$ less than half of $x$ is $x/2-4$ .

$2$ more than $x$ is $x+2$ .

We are given that the two quantities are equal, so we have that $x/2-4=x+2$ .

Adding $4$ to both sides gives $x/2=x+6$ .

Multiplying both sides by $2$ gives $x=2(x+6)=2x+12$ .

Subtracting $2x$ from both sides gives $-x=12$ .

Multiplying both sides by $-1$ gives $x=-12$ .

So, the number is $\boxed{-12}$ and we're done!

The check is left as an exercise to the reader.

3 0

3 years ago

There are 9 red and 6 green marbles in a bag

bagirrra123 [75]

Answer:

there are 15 marbles in the bag

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

7. An example for using estimation would be:

Aliun [14]

Guessing the number of pennies in a jar

4 0

3 years ago

Read 2 more answers

Measuring the speed of sound in the ocean is an important part of marine research. One application is the study of climate chang

dalvyx [7]

Answer:

A linear formula for S as a function of D is S=17D+1534

Step-by-step explanation:

We are supposed to find a linear formula for S as a function of D.

Equation of line : y = mx+c

We are given that At the surface, the speed of sound is 1534 meters per second.

c = 1534

We are given that for each increase in depth by 1 km, the speed increases by 17 m/s

So, Slope = m = 17

Substitute the values in equation

y=17x+1534

x denotes depth

y denotes speed

We are given that Use D for depth and S for the speed of sound

So, S=17D+1534

Hence a linear formula for S as a function of D is S=17D+1534

7 0

3 years ago

Sin (3x+15) = Cos (7x-2)<br><br> Find value of x

11Alexandr11 [23.1K]

$\bf \textit{Cofunction Identities}
\\ \quad \\
\boxed{sin\left(\frac{\pi}{2}-{{ \theta}}\right)=cos({{ \theta}})}\qquad 
cos\left(\frac{\pi}{2}-{{ \theta}}\right)=sin({{ \theta}})
\\ \quad \\ \quad \\
tan\left(\frac{\pi}{2}-{{ \theta}}\right)=cot({{ \theta}})\qquad 
cot\left(\frac{\pi}{2}-{{ \theta}}\right)=tan({{ \theta}})
\\ \quad \\ \quad \\
sec\left(\frac{\pi}{2}-{{ \theta}}\right)=csc({{ \theta}})\qquad 
csc\left(\frac{\pi}{2}-{{ \theta}}\right)=sec({{ \theta}})\\\\
-------------------------------\\\\$

$\bf \begin{array}{lcllclll}
sin(&90^o-\theta)&=&cos(&\theta)\\
&\uparrow &&&\uparrow \\
&3x+15&&&7x-2\\
&\downarrow \\
&90-(7x-2)
\end{array}
\\\\\\
90-(7x-2)=3x+15\implies 90-7x+2=3x+15
\\\\\\
92-15=10x\implies 77=10x\implies \cfrac{77}{10}=x$

5 0

3 years ago