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3 years ago

Solve the equation below Explain your steps . Show your math work 2(3x + 4) = 4x + 2

Mathematics

2 answers:

kumpel [21]3 years ago

5 0

Answer:

x= -3

Step-by-step explanation:

2(3x+4)=4x+2 (expand what's in the parentheses)

6x+8=4x+2 (subtract 8)

6x=4x-6 (subtract 4x)

2x = -6 (divide both sides by 2)

x= -3

lisabon 2012 [21]3 years ago

4 0

Answer:

x = -3

Step-by-step explanation:

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Nylan robotics has a budget of 99.00 to buy sprockets axles and gears. If they spend 2/3 of the budget on sprockets how much mon

grin007 [14]

99*1/3=33

so 2/3=66

so 33 dollars remain

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3 years ago

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Sarah can take no more than 22 pounds and I like the trap her suitcase weighs 112 ounces how many more pounds can she park witho

Leya [2.2K]

Answer:

15 pounds

Step-by-step explanation:

there are 16 ounces in one pound

so...

first find the limit in ounces

$22 = \frac{x}{16}$

because there are 16 ounces in every one pound you need to multiply 22 by 16

which is 352

now subtract what you already used

$352 - 112$

which is 240

now convert to pounds

$x = \frac{240}{16}$

which is 15

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2 years ago

For an outdoor concert by the city orchestra, concert organizers estimate that 19 comma 000 people will attend if it is not rai

Amiraneli [1.4K]

Answer:

14,800 people are expected to attend the concert

Step-by-step explanation:

In this question, we are tasked with calculating the expected number of people that will attend a concert on a particular day.

The key to answering this question is to multiply the individual probabilities of the two events by the expected number of people

Mathematically, what we obtain is the following;

The expected number of people at the concert = (probability of raining × expected number of people when it rains) + (probability of not raining × Expected number of people when it does not rain)

From the question, we identify that;

Probability of raining = 30% = 30/100 = 0.3

Probability of not raining = 1-probability of raining = 1-0.3 = 0.7

Expected number of people when it rains = 5,000

Expected number of people when there is no rain = 19,000

we plus these vales into the equation we have;

The expected number of people at the concert =( 0.3 × 5,000) + (0.7 × 19,000) = 1,500 + 13,300 = 14,800 people

6 0

3 years ago

The of an equation is formed by all the points in e plane that makes it true

zavuch27 [327]

Answer:

Graph

Step-by-step explanation:

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3 years ago

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What is the slope of the line?

riadik2000 [5.3K]

Answer:

The slope of the line must be 3

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

step 1

we know that

The volume of a rectangular prism is equal to

$V_r_p=Bh$ ----> equation A

where

B is the area of the base of the prism

h is the height of the rectangular prism

step 2

The volume of a square pyramid is equal to

$V_s_p=\frac{1}{3}Bh$ -----> equation B

where

B is the area of the square base of pyramid

h is the height of the pyramid

step 3

substitute equation A in equation B

$V_s_p=\frac{1}{3}V_r_p$

Find the relationship between the volume of a rectangular prism and the volume of a square pyramid

$\frac{V_r_p}{V_s_p}=3$

therefore

The slope of the line must be 3

let's check it

To solve for the slope of the line, you must choose two coordinates first and use the formula

$m=\frac{y2-y1}{x2-x1}$

Choosing the points (2,6) and (3,9)

substitute

$m=\frac{9-6}{3-2}=3$ ----> is correct

8 0

3 years ago