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Archy [21]
2 years ago
8

What is the ratio 28 : 35 written in lowest terms? 09:15 07:19 0 4:5 03:7

Mathematics
2 answers:
Vikki [24]2 years ago
6 0
04:5
Ndnndndnnsnsndbbdbdbdb
Oksi-84 [34.3K]2 years ago
3 0

Answer:

4:5

28 : 35 =  \frac{28}{35} =  \frac{4}{5}  = 4 : 5

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Which expressions are equivalent to 71-x-3)? Select two options.
VikaD [51]

Answer:

68-x

Step-by-step explanation:

71-x-3=71-3-x=68-x

8 0
2 years ago
What is the correct first step to solve this system of equations by elimination?
storchak [24]

\bold{\huge{\pink{\underline{ Solution }}}}

\bold{\underline{ Given }}

  • <u>We </u><u>have </u><u>given </u><u>two </u><u>linear </u><u>equations </u><u>that</u><u> </u><u>is </u><u>2x </u><u>-</u><u> </u><u>3y </u><u>=</u><u> </u><u>-</u><u>6</u><u> </u><u>and </u><u>x</u><u> </u><u>+</u><u> </u><u>3y </u><u>=</u><u> </u><u>1</u><u>2</u><u> </u><u>.</u>

\bold{\underline{ To \: Find }}

  • <u>We </u><u>have </u><u>to </u><u>find </u><u>the </u><u>value </u><u>of </u><u>x </u><u>and </u><u>y </u><u>by </u><u>elimination </u><u>method</u><u>. </u>

\bold{\underline{ Let's \: Begin }}

\sf{ 2x - 3y = -6 ...eq(1)}

\sf{ x +  3y = 12 ...eq(2)}

<u>Multiply </u><u>eq(</u><u> </u><u>2</u><u> </u><u>)</u><u> </u><u>by </u><u>2</u><u> </u><u>:</u><u>-</u>

\sf{ 2( x + 3y = 12 )}

\sf{ 2x + 6y = 24 }

<u>Subtract </u><u>eq(</u><u>1</u><u>)</u><u> </u><u>from </u><u>eq(</u><u>2</u><u>)</u><u> </u><u>:</u><u>-</u>

\sf{ 2x + 6y -( 2x - 3y) = 24 -(-6)}

\sf{ 2x + 6y - 2x + 3y = 24 + 6 }

\sf{   9y = 30 }

\sf{   y = 30/9}

\sf{\red{ y = 10/3}}

<u>Now</u><u>, </u><u> </u><u>Subsitute</u><u> </u><u>the </u><u>value </u><u>of </u><u>y </u><u>in </u><u>eq(</u><u> </u><u>1</u><u> </u><u>)</u><u>:</u><u>-</u>

\sf{ 2x - 3(10/3) = -6 }

\sf{ 2x - 10 = -6 }

\sf{ 2x  = -6 + 10}

\sf{ x  = 4/2}

\sf{\red{ x  = 2}}

Hence, The value of x and y is 2 and 10/3

6 0
2 years ago
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = ln x, [1,7] choose one letter t
inn [45]
ANSWER

B.Yes, f is continuous on [1, 7] and differentiable on (1, 7).

c\approx 3.08

EXPLANATION

The given

f(x) = ln(x)

The hypotheses are

1. The function is continuous on [1, 7].

2. The function is differentiable on (1, 7).

3. There is a c, such that:

f'(c) = \frac{f(7) - f(1)}{7 - 1}

f'(x) = \frac{1}{x}

This implies that;

\frac{1}{c} = \frac{ ln(7) - 0}{6}

\frac{1}{c} = \frac{ ln(7)}{6}

c = \frac{6}{ ln(7) }

c\approx 3.08

Since the function is continuous on [1, 7] and differentiable on (1, 7) it satisfies the mean value theorem.
7 0
3 years ago
(Two wires with lengths of 48cm and 16cm are to be cut into pieces of all the same length without remainder Find the greatest po
anastassius [24]

The longest length you can get with no extra is 56cm

7 0
3 years ago
Which of the following is a solution to the equation x - 5/7 = -3/7
podryga [215]

Solve the equation:

          5              3
x  –  ——  =  –  ——
          7              7


           5
Add  ——  to both sides, so you get  x  isolated at the left-hand side:
           7

          5          5               3          5
x  –  ——  +  ——  =  –  ——  +  ——
          7           7              7           7

              3          5
x  =  –  ——  +  ——
              7           7


Now, add those fractions at the right-hand side of the equation:

          – 3 + 5
x  =  —————
               7

          2
x  =  ——     <———    this is the answer (first option:  2/7).
          7


I hope this helps. =)

8 0
3 years ago
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