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Molodets [167]
1 year ago
7

Peter runs 3 over 4mile on Monday and 1 1 over 8miles on Tuesday. How many total miles did he run? Use mix number . ANS. ______

miles.
Mathematics
1 answer:
Tema [17]1 year ago
4 0
\begin{gathered} Monday=\frac{3}{4} \\ \text{Tuesday}=\frac{11}{8} \end{gathered}

You should sum the fraction

Next step mix number

2\text{ }\frac{1}{8}

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A number of fiction books at a library was 3/4 of the total number of books. After 592 fiction books were donated to the library
Zielflug [23.3K]

There approximately 7133 books in the library;

Data;

  • Let the number of total books = x
  • Number of fictional books = 3/4x

<h3>Word Problem</h3>

To solve this problem, we simply need to use an equation to explain the word problem into mathematical statements.

Let the total number of books be represented by x

The number of fictional books = 3/4x

After 592 fictional books were donated;

\frac{3x}{4} + 592 = \frac{5}{6}x

Let collect like terms and solve

\frac{3x}{4} +592 = \frac{5}{6} x\\\frac{5}{6}x - \frac{3x}{4} = 592\\ 0.083x=592\\x = 592/0.083\\x = 7132.53

There approximately 7133 books in the library;

Learn more on word problems here;

brainly.com/question/13818690

4 0
2 years ago
Write in slope-intercept form the equation of the line that is parallel to the line y=2/3x-6 and passes through the point (3,3)
ser-zykov [4K]

Answer: y=2/3x+1

Step-by-step explanation:

y=2/3x-6

y=2/3x+b ==> Parallel to y=2/3x-6 since they both have the same slope

3=2/3 (3)+b

3=2*3/3 +b

3=6/3 +b

3=2+b

b=1

y=2/3x+1

6 0
2 years ago
Write the first 4 multiples of 3/8
sesenic [268]

Multiples of 3

: 3, 6, 9, 12, 15, 18, 21, 24, ...

Multiples of 4

: 4, 8, 12, 16, 20, 24, ...

Multiples of 8

: 8, 16, 24, ..

2

Find the smallest number that is shared by all rows above. This is the LCM.

LCM = 2424

Method 2: By Prime Factors

1

List the prime factors of each number.

Prime Factors of 3

: 3

Prime Factors of 4

: 2, 2

Prime Factors of 8

: 2, 2, 2

2

Find the union of these primes.

2,2,2,32,2,2,3

3

Multiply these numbers: 2\times 2\times 2\times 3=242×2×2×3=24. This is the LCM.

LCM = 2424

3 0
3 years ago
How to write Equation of a line that is perpendicular to the line y=3x-5 and passes through the point (5,10)​
Nitella [24]
Y=3x-5 and passes through the point 5,10 should be 56
5 0
2 years ago
What value of k will result in the quadratic having one rational solution if 4x2+kx+4=0?
PtichkaEL [24]

The value of 'k' in the quadratic Equation    4x^{2}+kx+4=0 having one rational solution is k is 8.

<h3>What is a Quadratic Equation?</h3>
  • Quadratic equations are the polynomial equations of degree 2 in one variable of the type f(x) = ax^{2} + bx + c = 0 where a, b, c, ∈ R and a ≠ 0.
  • The standard form of a quadratic equation is ax^{2} + bx + c = 0 .

Here, the given equation is  4x^{2}+kx+4=0

By comparing the given equation with the standard form of the quadratic equation we get,

a = 4

b = k

c = 4

The given quadratic is having one rational solution, which means b^{2} -4ac=0

Therefore,

k^{2} -4 \times 4\times4=0\\k^{2} -64=0\\k^{2} =64\\k=\sqrt{64} \\k=8

Therefore, the value of k is 8.

Learn more about the quadratic equation is brainly.com/question/8649555

#SPJ4

7 0
2 years ago
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