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2 years ago

14

You have 2 Fractions with denominators 4 and 5. What number should you use as the least common denominator if you want to add th

e

1 answer:

Ivan2 years ago

8 0

Answer:

20 (this is the lowest common denominator)

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Bethany and her brother ben decided to go through a corn maze. Bethany starts and walks 10 feet north, 30 feet west and then 20

Westkost [7]

Answer:

About 60.77 feet

Step-by-step explanation:

Attached pic.

Blue line is of Bethany

Green line is of Ben

Red line is the distance between them [what we are trying to find]

We can use pythagorean theorem that tells us:

$c^2=a^2+b^2$

Where c is the hypotenuse of the right triangle [red lines in both respective triangles]

and

a, b are the two other sides of the triangle

Left Triangle (using pythagorean theorem):

Base is 30

Left side is 20 - 10 = 10

So,

$c^2=30^2+10^2\\c=\sqrt{30^2+10^2} \\c=31.62$

Right Triangle (using pythagorean theorem):

$c^2=25^2 + 15^2\\c=\sqrt{25^2 + 15^2} \\c=29.15$

Distance between Bethany and Ben = 31.62 + 29.15 = 60.77 feet

3 0

2 years ago

For each of the figures, write Absolute Value in the form |x-c|=d, where c and d are some numbers, to satisfy the solution set.

Vadim26 [7]

Answer:

$(a)$ $|0 - 8| = 8$

$(b)$ $|-4 - 6| = 10$

Step-by-step explanation:

Given

Attached number lines

Required

Express as: $|x - c| =d$

The two points on the number line represent x and c (in no particular) respectively.

Solving (a):

Let:

$x = 0$

$c = 8$

So:

$|x - c| =d$

$d =|0 - 8|$

Solve the expression in the absolute bracket

$d =|- 8|$

Remove absolute bracket

$d = 8$

So: the expression is;

$|0 - 8| = 8$

Solving (b):

Let:

$x = -4$

$c = 6$

So:

$|x - c| =d$

$d = |-4-6|$

Solve the expression in the absolute bracket

$d = |-10|$

Remove absolute bracket

$d = 10$

So: the expression is;

$|-4 - 6| = 10$

8 0

2 years ago

How many solutions does the equation have?

Lunna [17]

6x + 3 = 3 + 6x
0 = 0

many solutions

answer
infinitely many

6 0

3 years ago

Order these fractions from least to greatest 6/8, 3/8, 5/8

Bess [88]

Answer:

3/8, 6/8, 5/8

Step-by-step explanation:

that is the right answer

8 0

2 years ago

Evaluate c−d if c=1 and2/5 and d=5/6 . Express your answer in simplest form.

Andrews [41]

Answer:

$\frac{17}{30}$

Step-by-step explanation:

→ Substitute in the numbers

$1\frac{2}{5} -\frac{5}{6}$

→ Simplify

$1\frac{2}{5} -\frac{5}{6}=\frac{7}{5} -\frac{5}{6}=\frac{42}{30} -\frac{25}{30} =\frac{17}{30}$

5 0

2 years ago