Mike is 4 3/4 feet tall. His brother is 3 7/12 feet tall. How much taller is mike than his brother.

What are the common factors of 12 and 24?

Brut [27]

Common factors of 12 and 24 include 2,3,4,6, and 12

8 0

3 years ago

Read 2 more answers

Which algebraic expression is equivalent to the expression below? 25/4(5x-4/5)+29

andre [41]

Notice* No options are provided, so I will solve the expression.

Answer:

$\frac{125x+96}{4}$

Step-by-step explanation:

Step 1: Simplify $\frac{4}{5}$

Step 2: Rewriting the whole as an Equivalent Fraction

Subtracting a fraction from a whole

Rewrite the whole as a fraction using 5 as the denominator :

5x = 5x/1 = 5x * 5/5

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

dding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

5x • 5 - (4) 25x - 4

-------------- = ---------

5 5

Step 3: Simplify 25/4

Rewriting the whole as an Equivalent Fraction :

Adding a whole to a fraction

Rewrite the whole as a fraction using 4 as the denominator :

29 = 29/1 = 29 * 4/4

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

5 • (25x-4) + 29 • 4 125x + 96

--------------------------- = -----------

4 4

Final result :

125x + 96

—————————

4

___________

Terms and topics:

Dividing exponents
Polynomial roots
Nonlinear equations
Equations which are reducible to quadratic
Reducing fractions to lowest terms

7 0

2 years ago

Conti. 7-10 thanks a lot! unhelpful answers will be deleted.

Marysya12 [62]

Answers:

10. b. $\displaystyle 13$

9. b. $\displaystyle 20$

8. a. $\displaystyle 33$

7. a. $\displaystyle 25°$

Step-by-step explanations:

10. Both segments are considered congruent, so turn both expressions into an equation:

$\displaystyle 3x - 5 = x + 7 \hookrightarrow \frac{-12}{-2} = \frac{-2x}{-2} \\ \\ 6 = x$

Plug this back into the equation to get $\displaystyle 13$ on both sides.

9. All edges in a square obtain congruent right angles and edges, so set $\displaystyle 45$ equivalent to the given expression:

$\displaystyle 45 = 2x + 5 \hookrightarrow \frac{40}{2} = \frac{2x}{2} \\ \\ \boxed{20 = x}$

8. Both angles are considered supplementary, so turn both expressions into an equation and set it to one hundred eighty degrees:

$\displaystyle 180 = (4x - 15)° + (x + 30)° \hookrightarrow 180° = (15 + 5x)° \hookrightarrow \frac{165}{5} = \frac{5x}{5} \\ \\ \boxed{33 = x}$

7. In this rectangle, segment EO is a segment bisectour, making these angles Complementary Angles. Therefore, set an equation up to find its complement:

$\displaystyle 90° = 65° + m\angle{VOE} \\ \\ \boxed{25° = m\angle{VOE}}$

I am joyous to assist you at any time.

3 0

2 years ago

There were 500 people at a play. the admission price was $6 for general public and $3 for students. the admission receipts were

dem82 [27]

Its 880 i think but hope yhu get it right

5 0

3 years ago

How much sand would you need to fill this box ?

grin007 [14]

Step-by-step explanation:

We have,

l =5ft

b=2ft

h=3ft

$volume(v) = l \times b \times h$

v = (l*b*h)

v = (5*2*3)ft

v = (30)ft

.•. v = 30ft

3 0

2 years ago