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10 months ago

Simplify the expression: 2(5r + 8)

Mathematics

1 answer:

Ganezh [65]10 months ago

8 0

Answer:

2(5r + 8) = 10r + 16

Explanation:

Given the expression:

2(5r + 8)

Remove the parentheses

2 × 5r + 2 × 8

= 10r + 16

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Solve the proportion using cross products. Round to the nearest hundredth if necessary. $18.45/m gal = $3.60/7.5gal

sveta [45]

$\dfrac{\$18.45}{n \text { gallon}} = \dfrac{\$3.60}{7.5 \text { gallon}}$

Cross multiply
$n \times \ 3.60 = 7.5 \times \ 18.45$

Combine like terms
$3.60n = 138.375$

Find n
$n = 138.375\div 360$

Answer
$n = 0.38 \text { (nearest hundredth)}$

3 0

2 years ago

Read 2 more answers

4. Why does Miss Maudie only have two small cakes instead of three

Rudiy27

Answer:

Step-by-step explanation:

She only has two cakes because that's all she bought.

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3 years ago

Which value, when placed in the box, would result in a system of equations with infinitely many solutions?

Fantom [35]

Answer:

<h2>If we placed the number 10 in the box, we obtain a system of equations with infinitely many solutions.</h2>

Step-by-step explanation:

The given system is

$y=2x-5\\2y-4x=a$

<em>It's important to know that a system with infinitely many solutions, it's a system that has the same equation</em>, that is, both equation represent the same line, or as some textbooks say, one line is on the other one, so they have inifinitely common solutions.

Having said that, the first thing we should do here is reorder the system

$y=2x-5\\2y=4x+a$

This way, you can compare better both equations. If you look closer, observe that the second equation is double, that is, it can be obtained by multiplying a factor of 2 to the first one, that is

$y=2x-5\\2y=4x-10$

So, by multiplying such factor, we obtaine the second equation. Observe that $a$ must be equal to 10, that way the system would have infinitely solutions.

Therefore, the answer is 10.

4 0

3 years ago

Let v1 =(-6,4) and v2=(-3,6) compute the following what i sthe angle between v1 and v2

Agata [3.3K]

$\bf ~~~~~~~~~~~~\textit{angle between two vectors }
\\\\
cos(\theta)=\cfrac{\stackrel{\textit{dot product}}{u \cdot v}}{\stackrel{\textit{magnitude product}}{||u||~||v||}} \implies 
\measuredangle \theta = cos^{-1}\left(\cfrac{u \cdot v}{||u||~||v||}\right)\\\\
-------------------------------$

$\bf \begin{cases}
v1=\ \textless \ -6,4\ \textgreater \ \\
v2=\ \textless \ -3,6\ \textgreater \ \\
------------\\
v1\cdot v2=(-6\cdot -3)+(4\cdot 6)\\
\qquad \qquad 42\\
||v1||=\sqrt{(-6)^2+4^2}\\
\qquad \sqrt{52}\\
||v2||=\sqrt{(-3)^2+6^2}\\
\qquad \sqrt{45}
\end{cases}\implies \measuredangle \theta =cos^{-1}\left( \cfrac{42}{\sqrt{52}\cdot \sqrt{45}} \right)
\\\\\\
\measuredangle \theta =cos^{-1}\left( \cfrac{42}{\sqrt{2340}} \right)\implies \measuredangle \theta \approx 29.74488129694^o$

8 0

3 years ago

Jane and Sali cycled along the same 63km route. Jane took 3.5 hours to cycle the 63km.

Arisa [49]

Answer:

sali's speed was 18.75 km/h

Step-by-step explanation:

Jane took 3.5 hours to cycle the 63 km.

As, , so the speed of Jane will be:

Suppose, the speed of Sali is km/h

Sali caught up with Jane when they had both cycled 30 km.

So, the time required for Jane to cycle 30 km and the time required for Sali to cycle 30 km

Given that, Sali started to cycle 4 minutes or after Jane started to cycle. So, the equation will be.......

5 0

3 years ago