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3 years ago

For what values of x would the following be true? -2(x-3)<4

Mathematics

1 answer:

emmainna [20.7K]3 years ago

7 0

Answer:

x > 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

-2(x - 3) < 4

Step 2: Solve for x

Divide -2 on both sides: x - 3 > -2
Add 3 to both sides: x > 1

Here we see that any value x greater than 1 would work as a solution to the equation.

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I will show the answer options later because I can’t add two pictures

melomori [17]

We will have the following:

* If Kristin does not decrease the price of her cakes, her projected weekly revenue from cake sales will be $2500.

*If Kristin decreases the price of her cakes, her projected weekly revalue will be $2520.

*Kristin will obtain the same revenue if she sells the cakes for $24 or $21.

6 0

1 year ago

How many 2 1/2 acre plots can be made out of a 35-acre field

Hoochie [10]

35 divided by 2 1/2

change 2 1/2 to an improper fraction

2 1/2 = 5/2

35 divided by 5/2

copy dot flip

35 * 2/5

70/5

you can make 14 plots

4 0

3 years ago

Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 sam

tigry1 [53]

Answer:

$P(A) = \frac{30}{100}$

$P(B) = \frac{77}{100}$

$P(A\ n\ B) = \frac{22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

Step-by-step explanation:

Given

See attachment for proper format of table

$n = 100$ --- Sample

A = Supplier 1

B = Conforms to specification

Solving (a): P(A)

Here, we only consider data in sample 1 row.

In this row:

$Yes = 22$ and $No = 8$

So, we have:

$n(A) = Yes + No$

$n(A) = 22 + 8$

$n(A) = 30$

P(A) is then calculated as:

$P(A) = \frac{n(A)}{Sample}$

$P(A) = \frac{30}{100}$

Solving (b): P(B)

Here, we only consider data in the Yes column.

In this column:

$(1) = 22$ $(2) = 25$ and $(3) = 30$

So, we have:

$n(B) = (1) + (2) + (3)$

$n(B) = 22 + 25 + 30$

$n(B) = 77$

P(B) is then calculated as:

$P(B) = \frac{n(B)}{Sample}$

$P(B) = \frac{77}{100}$

Solving (c): P(A n B)

Here, we only consider the similar cell in the yes column and sample 1 row.

This cell is: [Supplier 1][Yes]

And it is represented with; n(A n B)

So, we have:

$n(A\ n\ B) = 22$

The probability is then calculated as:

$P(A\ n\ B) = \frac{n(A\ n\ B)}{Sample}$

$P(A\ n\ B) = \frac{22}{100}$

Solving (d): P(A u B)

This is calculated as:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$

This gives:

$P(A\ u\ B) = \frac{30}{100} + \frac{77}{100} - \frac{22}{100}$

Take LCM

$P(A\ u\ B) = \frac{30+77-22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

8 0

3 years ago

25 x 170 x 6.350 please help

m_a_m_a [10]

Answer:

26,987.5

Step-by-step explanation:

hope it's helpful to you ☺️

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2 years ago

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What is 453,605 rounded to the nearest hundred thousand

Lisa [10]

Answer:

500,000

Step-by-step explanation:

8 0

3 years ago

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