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Zanzabum
3 years ago
14

The sum of two numbers is 35. Their difference is 3. Find the numbers

Mathematics
2 answers:
STatiana [176]3 years ago
5 0

Step-by-step explanation:

<em>le</em><em>t</em><em> </em><em>x</em><em> </em><em>and</em><em> </em><em>y</em><em> </em><em>represent</em><em> </em><em>the</em><em> </em><em>t</em><em>w</em><em>o</em><em> </em><em>numb</em><em>e</em><em>r</em><em>s</em>

<em>x+y</em><em> </em><em>=</em><em>3</em><em>5</em><em>.</em><em> </em><em> </em><em> </em><em>eqn</em><em> </em><em>1</em>

<em>x-y</em><em> </em><em>=</em><em>3</em><em>.</em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>eqn</em><em> </em><em>2</em>

<em>let</em><em> </em><em>elim</em><em>i</em><em>n</em><em>a</em><em>t</em><em>e</em><em> </em><em>x</em><em> </em><em>by</em><em> </em><em>subtra</em><em>cting</em><em> </em><em>2</em><em> </em><em>f</em><em>r</em><em>o</em><em>m</em><em> </em><em>1</em>

<em>2</em><em>y</em><em> </em><em>=</em><em>3</em><em>2</em>

<em>divide</em><em> </em><em>both</em><em> </em><em>side</em><em> </em><em>by</em><em> </em><em>3</em>

<em>y</em><em> </em><em>=</em><em> </em><em>1</em><em>6</em>

<em>put</em><em> </em><em>y</em><em> </em><em>=</em><em> </em><em>1</em><em>6</em><em> </em><em>in</em><em> </em><em>eqn</em><em> </em><em>1</em>

<em>x</em><em>-</em><em>1</em><em>6</em><em> </em><em>=</em><em>3</em><em>5</em>

<em>x</em><em> </em><em>=</em><em> </em><em>3</em><em>5</em><em>-</em><em>1</em><em>6</em>

<em>x</em><em> </em><em>=</em><em> </em><em>1</em><em>9</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>x</em><em> </em><em>=</em><em>1</em><em>9</em><em>,</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>y</em><em> </em><em>=</em><em>1</em><em>6</em>

IgorLugansk [536]3 years ago
4 0

Answer:

19 and 16

Step-by-step explanation:

Let x and y be the two numbers

x+y = 35

x-y =3

Add the two equations together

x+y = 35

x-y =3

---------------

2x = 38

Divide by 2

2x/2 = 38/2

x = 19

Solve for y

x-y = 3

19-y = 3

Subtract 19 from each side

19-19 -y = 3-19

-y = -16

y =16

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Assuming that you mean

\sqrt[3]{-\dfrac{27}{125}}

we have

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Solve each equation (Isolating first)
Dvinal [7]

3 \times {( \frac{1}{8} )}^{2x}  = 12 \\ \Leftrightarrow {( \frac{1}{8} )}^{2x}  = 4 \\ \Leftrightarrow  {( {2}^{ - 3}) }^{2x}  =  {2}^{2}  \\ \Leftrightarrow  {2}^{ - 6x}  =  {2}^{2}  \\ \Leftrightarrow  - 6x = 2 \\ \Leftrightarrow x =  -  \frac{1}{3}  \\  \\ 2 {\sqrt[3]{5}}^{4x}  = 50 \\ \Leftrightarrow  { \sqrt[3]{5} }^{4x}  = 25 \\ \Leftrightarrow  {5}^{ \frac{4x}{3} }  =  {5}^{2}  \\ \Leftrightarrow  \frac{4x}{3}  = 2 \\ \Leftrightarrow 4x = 6 \\ \Leftrightarrow x =  \frac{3}{2}

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What’s the angle of cda
Anastaziya [24]

Answer:

∠ CDA = 32.3°

Step-by-step explanation:

See the given figure attached to this answer.

Draw perpendiculars from B and C on AD which is BE and CF.

Now, Δ ABE is a right triangle and AE² = AB² - BE² = 7.5² - 6² = 20.25

⇒ AE = 4.5 cm

Now, DF = AD - EF - AE = 24 - 10 - 4.5 = 9.5 cm {Since BC = EF}

And CF = BE = 6 cm.

Now, Δ CFD is a right triangle and  

\tan \beta  =\frac{CF}{FD} = \frac{6}{9.5}  = 0.6315 {Where β = ∠ CDA}

⇒ \beta  = \tan^{-1} (0.6315)=32.27 Degree.

So, ∠ CDA = 32.3° {Correct to one decimal place} (Answer)

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3 years ago
Three classes at a school have 18, 24, and 27 students. All three will be divided into project groups. Each group must have the
VLD [36.1K]

Answer:

The largest possible group size is 3 students.

Step-by-step explanation:

The greatest common factor (GCF) of the numbers 18, 24, and 27 is 3. That is, the largest number that can be divided into all three numbers.

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