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3 years ago

Solve the equations. 1. 3x + 12 = 36 2. x/6 - 8 = 12

Mathematics

2 answers:

lys-0071 [83]3 years ago

3 0

Answer:

Step-by-step explanation:

mark as brainliest and drop some thanks!!!

Marat540 [252]3 years ago

3 0

Answer:

1. x=8

2. 120

Step-by-step explanation:

1. 3x=36-12

3x=24

x=8

2. 1/6x-8=12

x-48=72

x=72+48

x=120

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100 POINTS HELP ASAP Linear Combination

notka56 [123]

Answer:

1) $x=\dfrac12$

2) $n = -3 \ \ \textsf{and} \ \ m = -4$

3) see below

4) A: 0 = 1

Step-by-step explanation:

<u>Question 1</u>

$15-0.5(4x-2)+4x=17$

$\implies 15-2x+1+4x=17$

$\implies 2x+16=17$

$\implies 2x=1$

$\implies x=\dfrac12$

<u>Question 2</u>

$\textsf{rearrange} \ n=m+1 :$

$\implies -m=-n+1$

$\textsf{add equations} \ -m=-n+1 \ \textsf{and} \ m=2n+2:\\$

$\implies0=n+3$

$\implies n=-3$

$\textsf{substitute} \ \ n=-3 \ \ \textsf{into} \ \ m=n-1:$

$\implies m=-3-1$

$\implies m=-4$

<u>Question 3</u>

subtract the second equation from the first

divide both sides by -4

substitute found value for y into first equation

solve for x

<u>Question 4</u>

$3j=k$

$k=3j+1$

$\textsf{rearrange} \ 3j=k :$

$\implies -k=-3j$

$\textsf{add equations}\ -k=-3j \ \ \textsf{and}\ \ k=3j+1:$

$\implies 0=1$

Solution = A

6 0

2 years ago

A company has budgeted 5 1/4 hours to complete a project, with 1/3 of the time spent on research. How much time does the company

elena-s [515]

Given that a company budgeted 5 1/4 hours to complete a project, determine how much time they spent on research if they spent 1/3 of the total budget.

First, convert the budget from hours into minutes.

5 1/4 hours = 315 minutes

1 hour = 60 min

1/4 hour = 15 min

60 x 5 = 300

300 + 15 = 315

Then, divide the minutes by 3 or multiply it by 1/3.

315 / 3 = 105

315 x 1/3 = 105

Lastly convert to a mixed number.

1 3/4 hour

Thus, the company plans to spend 1 3/4 hours or 1 hour and 45 minutes on research.

7 0

3 years ago

The number of Apple cakes is 4/5 of the number of strawberry cakes. There are 24 strawberry cakes more than apple pies. What per

serious [3.7K]

--------------------------------------------------------------------
Ratio Given
--------------------------------------------------------------------
Apple : Strawberry
4 : 5

--------------------------------------------------------------------
Find difference in parts
--------------------------------------------------------------------
5 - 4 = 1

--------------------------------------------------------------------
Find Number of strawberry cakes
--------------------------------------------------------------------
1 part = 24 cakes
5 parts = 24 x 5 = 120

--------------------------------------------------------------------
Find number of apple cakes
--------------------------------------------------------------------
1 part = 24 cakes
4 parts = 24 x 4 = 96

--------------------------------------------------------------------
Total number of cakes
--------------------------------------------------------------------
120 + 96 + 144 = 360

--------------------------------------------------------------------
Percentage of cranberry cakes
--------------------------------------------------------------------
144/360 x 100 = 40%

--------------------------------------------------------------------
Answer: 40% of the cakes are cranberry cakes
--------------------------------------------------------------------

5 0

4 years ago

Decrease 117 kg in the ratio 10:13

Lisa [10]

Answer:

90kg

Step-by-step explanation:

it is so because, to decrease a number by a ratio you have to multiply with the smallest number and divide with the biggest one. For example 117 in the ratio 7:3. 117×3=351 which is divided by 7 and is equal to 50.14.

8 0

3 years ago

Jeffery is parking cars just outside of a building. Some of the spots are occupied.

bogdanovich [222]

Where is the rest of the question??

3 0

3 years ago