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Cloud [144]
2 years ago
8

Determine whether or not the two equations below have the same solution. In two or more complete sentences, explain your rationa

le.
2/3x + 3/4 = 8 8x=87
Mathematics
2 answers:
fredd [130]2 years ago
6 0

Answer:

The two equation have the same solutions.

Step-by-step explanation:

Consider the provided equations.

\frac{2}{3}x + \frac{3}{4} = 8 ......(1)

8x=87.......(2)

We need to determine whether or not the two equations below have the same solution.

Solve the first equation.

\frac{2}{3}x + \frac{3}{4} = 8

Multiply both the sides by 12.

2x(4) + 3(3)=96

8x + 9=96

8x=96-9

8x=87

Here we can observe that after simplifying the first equation both the equation becomes the same.

Hence, the two equation have the same solutions.

Leona [35]2 years ago
5 0
No they don't. 2/3=.67, 3/4=.75. 8-.75=7.25. 7.25/.67=10.82.... 87/8=10.88 :) hope this helps
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Write the equation of the line that passes through (−2, 6) and (2, 14) in slope-intercept form.
MakcuM [25]
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

The first step is to find the slope using the provided coordinates (-2, 6) and (2, 14). We can do that using the y1 - y2 / x1 - x2, like so:

6 - 14 / -2 - 2
-8 / -4
2

The slope is two, so we immediately know the answer is either A or B.

Now, plot the two points on graphing paper and determine where the line intersects the y-axis to find the y-intercept...

My graph shows the line intersecting the y-axis at 10, therefore the correct answer is:
y = 2x + 10
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Marina86 [1]

Answer:

See below

Step-by-step explanation:

the common ratio, r <1    so it CONVERGES    (r = 1/2 in this series)

sum = a1 ( 1-r^n) / (1-r) =  1000(1-.5^10)/(1-1/2) = ~1998

    for n= 30    this results in ~~2000

As it continues, the terms get smaller and smaller and the SUM converges on 2000.

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Fill in the blanks below in order to justify whether or not the mapping shown
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Answer:

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Step-by-step explanation:

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2 years ago
A man shares a $1,200,00 inheritance between his 3 sons in ratio 1: 3: 6. Calculate the difference between the largest share and
soldi70 [24.7K]

A man's inheritance money = $1200

Given :

He shared his inheritance between his 3 sons in the ratio 1:3:6

Then, the money the first son got :

= \tt \frac{1}{10}  \: of  \: 1200

=\tt  \frac{1}{10}  \times 1200

=\tt  \frac{1 \times 120}{10}

= \tt \frac{1200}{10}

\color{plum} =\tt\$ \: 120

▪︎Thus, the first son inherited $120.

Money the second son got :

= \tt \frac{3}{10}  \: of  \: 1200

= \tt \frac{3}{10}  \times 1200

=\tt  \frac{3 \times 1200}{10}

= \tt \frac{3600}{10}

\color{plum} =\tt \$360

▪︎Thus, the second son inherited $360.

Money the third son got :

=\tt  \frac{6}{10}  \: of  \: 1200

=\tt  \frac{6}{10}  \times 1200

= \tt \frac{6 \times 1200}{10}

= \tt \frac{7200}{10}

\color{plum} = \tt\$720

▪︎Thus, the third son inherited $720.

We know that :

The largest share = $720

The smallest share = $120

Difference between the largest and smallest share :

= \tt720 - 120

\color{hotpink}\tt = 600

<h3> ●=> Therefore :</h3>

▪︎<em>The difference between the largest and smallest share = 600</em>

7 0
2 years ago
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