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2 years ago

What is the value of the expression below when w=5 4w-9.

Mathematics

1 answer:

Ratling [72]2 years ago

3 0

Answer:

Step-by-step explanation:

$\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}$

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Julia can sell a certain product for $75 per unit. Total cost consists of a fixed overhead of $4000 plus production costs of $50

marusya05 [52]

Answer = 160 units

Reason is 75 sell price less cost per unit = $25 profit per unit
Overhead cost is $4000. Divide fixed overhead cost $4000 by profit per unit $25 = 160

6 0

1 year ago

Is UVW=Xyz?if so, name the postulate that applies

aivan3 [116]

By critically observing the two triangles, we can deduce that they: B. might not be congruent.

<h3>The properties of similar triangles.</h3>

In Geometry, two triangles are said to be similar when the ratio of their corresponding sides are equal in magnitude and their corresponding angles are congruent.

By critically observing the two triangles, we can logically deduce that the three angles of both triangles are congruent in accordance with AAA similarity postulate:

<U ≅ <X

<V ≅ <Y

<W ≅ <Z

However, AAA isn't a congruence postulate and as such all similar triangles might not be congruent.

Read more on congruency here: brainly.com/question/11844452

#SPJ1

4 0

1 year ago

Which sentence about a geometric plane is false?

sveta [45]

Could I have the choices?

3 0

3 years ago

How to solve this?

nevsk [136]

Answer:

Answer of 17 is ㏒( $x^{2}$ +15x), Answer of 33 is x = 8 , Answer of 35 is x = ㏒10/㏒2 , Answer of 37 is x = -㏒12/㏒8 and Answer of 39 is x = 5

Step-by-step explanation:

17. ㏒x + ㏒(x+15)

Using property ㏒a + ㏒b = ㏒a×b

∴ ㏒x + ㏒(x+15)

㏒x×(x+15)

㏒( $x^{2}$ +15x)

The answer is ㏒( $x^{2}$ +15x)

33. 2^(x-5) = 8

2^(x-5) = 2^3

Using property 2^a = 2^b

Then a = b

∴x-5 = 3

x = 8

The answer is x = 8

35. 2^x = 10

Taking log on both sides gives

㏒2^x = ㏒10

x×㏒2 = ㏒10

x = ㏒10/㏒2

The answer is x = ㏒10/㏒2

37. 8^-x = 12

Taking log on both sides gives

㏒8^-x = ㏒12

-x×㏒8 = ㏒12

x = -㏒12/㏒8

The answer is x = -㏒12/㏒8

39. 5(2^3 × x) = 8

5(8×x) = 8

x = 5

The answer is x=5

5 0

3 years ago

One positive number is 14 less than another positive number. If the reciprocal of the smaller number is added to five times the

Kipish [7]

Let's call the two numbers $s$ and $l$ .

Given these variables, we can say: $s = l - 14$ , based on the first sentence in the problem.

Also, remember that the reciprocal of a number is simply 1 divided by the number. Thus, we can say that:

$\dfrac{1}{s} + 5\Big( \dfrac{1}{l} \Big) = \dfrac{1}{4}$

To solve, we can simply substitute $l -14$ in for $s$ in the second equation and solve.

$\dfrac{1}{l - 14} + \dfrac{5}{l} = \dfrac{1}{4}$

Set up

$\dfrac{l}{l(l - 14)} + \dfrac{5(l - 14)}{l(l - 14)} = \dfrac{1}{4}$

Get terms on the left side to a common denominator for easier addition

$\dfrac{l + 5l - 70}{l(l - 14)} = \dfrac{1}{4}$

Simplify

$4(6l - 70) = l(l - 14)$

Cross multiplication ( $\frac{a}{b} = \frac{c}{d} \Rightarrow ad = bc$ )

$24l - 280 = l^2 - 14l$

Simplify

$l^2 - 38l + 280 = 0$

Subtract $24l - 280$ from both sides of the equation

$(l - 10)(l - 28) = 0$

Factor left side of the equation

$l = 10, 28$

Zero Product Property

Now, notice that we have found two solutions, but the problem is only asking for one. This <em>likely </em>means that one of our solutions is extraneous. Let's take a look. Remember that the smaller positive number is equal to 14 less than the larger number. However,

$s = 10 - 14 = -4$ ,

Since $s$ is not positive in this case, $l = 10$ is not a solution.

Thus, $l = 28$ is our only solution. In this case,

$s = 28 - 14 = 14$ ,

which means that the smaller number is 14 and the larger number is 28.

5 0

3 years ago