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3 years ago

Elijah earn 200$ for 8 hours of work. what is the unit rate(in dollars per hour)

Mathematics

1 answer:

Marysya12 [62]3 years ago

4 0

Answer: 25 dollars per hour.

Step-by-step explanation: Rate this for free toast.

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How do i do this pls help me

Delvig [45]

Answer:

$y = \frac{1}{7} x + 7$

Step-by-step explanation:

x-7y = -49

i) move x to the right-hand side and change its sign

-7y = -49-x

ii) change the signs on both sides of the equation

7y = 49+x

iii) divide both sides of the equation by 7

$\frac{7y}{7} = \frac{49}{7} + \frac{x}{7}$

$y = 7 + \frac{1}{7} x$

iv) use the commutative property to reorder the terms

* commutative property: a+b = b+a

$y = \frac{1}{7} x + 7$

3 0

2 years ago

Which statement about the simplified binomial expansion of (a + b)", where n is a positive integer, is true?

Alja [10]

Answer:

$(a+b)^n ={n \choose 0}a^{(n)}b^{(0)} + {n \choose 1}a^{(n-1)}b^{(1)} + {n \choose 2}a^{(n-2)}b^{(2)} + ..... +{n \choose n}a^{(0)}b^{(n)}$

Step-by-step explanation:

The Given question is INCOMPLETE as the statements are not provided.

Now, let us try and solve the given expression here:

The given expression is: $(a +b)^n, n > 0$

Now, the BINOMIAL EXPANSION is the expansion which describes the algebraic expansion of powers of a binomial.

Here, $(a+b)^n = \sum_{k=0}^{n}{n \choose k}a^{(n-k)}b^{(k)}$

or, on simplification, the terms of the expansion are:

$(a+b)^n ={n \choose 0}a^{(n)}b^{(0)} + {n \choose 1}a^{(n-1)}b^{(1)} + {n \choose 2}a^{(n-2)}b^{(2)} + ..... +{n \choose n}a^{(0)}b^{(n)}$

The above statement holds for each n > 0

Hence, the complete expansion for the given expression is given as above.

4 0

3 years ago

Read 2 more answers

PLEASE HELPPP MEEEEEEEEEE

qwelly [4]

Answer:

x = 17°

Step-by-step explanation:

Angles And Parallel Lines

If two parallel lines are crossed by a third line, corresponding angles are congruent. Also, consecutive angles are supplementary

We can clearly see in the image provided, being w and b parallel, that the corresponding angles (4x-3) and 65° are congruent. We can express that relation as

$4x-3=65$

Operating

$4x=65+3=68$

$x=\frac{68}{4}=17$

So the value of the angle x is 17°

8 0

3 years ago

What is the rate of change of the perimeter of the square at the instant the area is 49 m2?

vagabundo [1.1K]

Let x = the length of a side of the square (m).
The area is
A = x²
The perimeter is
P = 4x

The rate of change of P with respect to x is
P'(x) = 4 (independent of x)

When A = 49 m², then x = 7 m.
The rate of P is 4.

Answer: 4

6 0

3 years ago

Which expression is equivalent to the expression shown below?

posledela

The correct answer is: [D]: " (-5 $\frac{1}{4}$ )x − $\frac{1}{2}$ " .
_________________________________________________________

Explanation:
_________________________________________________________

" -1/2(-3/2x + 6x + 1) − 3x " ;

= (-1/2 * -3/2 x) + (-1/2 * 6x) + (-1/2 * 1) − 3x ;

= [ (-1 *-3) /(2*2)] x + (-3x) + (-1/2) ] − 3x ;

= [ (3/4)x − 3x − (1/2) ] − 3x ;

= (3/4)x − 3x − (1/2) − 3x ;

= ?? ; → Combine the "like terms" ;

→ "(3/4)x − 3x − 3x " = ?? ;

→ "(3/4)x − 3x = "(-9/4)x";

→ "(-9/4)x − 3x = "(-21/4)x " = " (-5 $\frac{1}{4}$ )x " ;

→ The answer is: " (-5 $\frac{1}{4}$ )x − $\frac{1}{2}$ " ;
___________________________________________________
→ which is:
___________________________________________________
→ Answer choice: [D]: " (-5 $\frac{1}{4}$ )x − $\frac{1}{2}$ " .
___________________________________________________

6 0

3 years ago