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Bond [772]
3 years ago
13

Part A: Solve the equation 7x + 3x − 18 = 6(x + 3), and show your work. (5 points)

Mathematics
2 answers:
Levart [38]3 years ago
7 0

Answer:

9

Step-by-step explanation:

7x +3x - 18 =6(x +3)

10x - 18 =6x +18

10x - 6x =18 +18

4x =36

x=36 :4

x=9

const2013 [10]3 years ago
7 0

Answer:

7x \:  + 3x \:  - 18 = 6(x + 3) \\ 10x - 18 = 6x  + 18 \\ 10x - 18 + 18 = 6x + 18 + 18 \\ 10x = 6x + 36 \\ 10x - 6x \:  = 6x - 6x + 36 \\ 4x = 36 \\ we \: divide \: both \: sides \: by \: 4 \\ 4x \div 4 = 36 \div 4 \\ x = 9

hope that will help you

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Samuel has an ant farm with a volume of 375 cubic inches. The width of the ant farm is 2.5 inches and the length is 15 inches. W
Alexxandr [17]

Answer:

Step-by-step explanation:

From the given information, it is clear that the shape of ant form is rectangular prism.

Let us write formula for volume of rectangular prism (ant form)

V = l x w x h

Use the formula to write an equation.

Plug V = 375, w = 2.5 and l = 15

375 = 15 x 2.5 x h

375 = 37.5 x h

Divide both sides of the equation by 37.5

375/37.5 = (37.5 x h)/37.5

10 = h

Hence, the height of the form is 10 inches.

6 0
3 years ago
Robert's dog is 4 years older than Karen's cat. In 3 years, the sum of the ages of Robert's dog and Karen's cat will be 13. How
mylen [45]

Answer:

5.5 years old.

Step-by-step explanation:

Let D represent present age of Robert's dog and C represent present age of Karen's cat.

We have been given that Robert's dog is 4 years older than Karen's cat. We can represent this information in an equation as:

D=C+4...(1)

We are also told that in 3 years, the sum of the ages of Robert's dog and Karen's cat will be 13. After 3 years age of dog and cat would be D+3 and C+3 respectively.

We can represent this information in an equation as:

D+3+C+3=13...(2)

From equation (1), we will get:

C=D-4

Upon substituting this value in equation (2), we will get:

D+3+D-4+3=13

Combine like terms:

2D+2=13

2D+2-2=13-2

2D=11

\frac{2D}{2}=\frac{11}{2}

D=5.5

Therefore, Robert's dog is 5.5 years old right now.

3 0
3 years ago
Yesterday 160 guest at a hotel called for room service, and 240 guest did not called for room service. What is the percentage of
Dmitry [639]
160/400
80/200
40/100
C
8 0
3 years ago
It is estimated that light takes 110,000 years to travel the full distance across our galaxy
stepladder [879]
\bf \stackrel{light~speed}{3.0\times 10^8}ms^{-1}\implies \stackrel{light~speed}{3.0\times 10^8}~\frac{m}{s}\implies 300,000,000~\frac{m}{s}\\\\
-------------------------------\\\\
\textit{how many seconds in a minute?}\qquad 60
\\\\\\
\textit{how many seconds in }\stackrel{1~hr}{60~minutes?}\qquad 60\cdot 60
\\\\\\
\textit{how many seconds in }\stackrel{1~day}{24~hrs}?\qquad 60\cdot 60\cdot 24
\\\\\\
\textit{how many seconds in }\stackrel{1~year}{365~days}?\qquad 60\cdot 60\cdot 24\cdot 365

now, it takes 1 second for light to travel 300,000,000 meters.

if we know it takes light 1 second to go 300 million meters, then in 365 days or a year, or 60*60*24*365 seconds, it will then travels

300,000,000 * 60 * 60 * 24 * 365 meters in 1 year,

how about in 110,000 years, how many meters has it travelled?

300,000,000 * 60 * 60 * 24 * 365 * 110,000   that many meters.

we know she travels the Milky Way in 110,000 years  or 60 * 60 * 24 * 365 * 110,000  seconds

and we know that 110,000 years is 3468960000000 seconds, so

if it travels 300000000 meters in only 1 second, in 3468960000000 seconds, it will travel then (300000000) * (3468960000000) meters

or  1040688000000000000000 meters.
4 0
3 years ago
If line b is perpendicular to line a, and line c is
emmasim [6.3K]

Answer:

c

Step-by-step explanation:

4 0
3 years ago
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