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aev [14]
2 years ago
13

Write the equation - 3x + 2y = 7 in slope-intercept form.

Mathematics
2 answers:
Masteriza [31]2 years ago
7 0
The answer is : y=3/2x+7/2

since you have to turn the equation into y=mx+b, you would need to add the 3x on both sides. now you have 2y=3x+7. then, since there is still a two next to the y, you need to divide everything by 2. this gives you y=3/2x+7/2.
VikaD [51]2 years ago
3 0

Answer:

The answer is :

y =  \frac{3}{2} x +  \frac{7}{2}

Step-by-step explanation:

Given that the slope-intercept form is represented by y = mx + b. So you have to rearrange the equation :

- 3x + 2y = 7

2y = 3x + 7

y =  \frac{3}{2} x +  \frac{7}{2}

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Morgarella [4.7K]

\text{mass of freight train} = 9.98 \times  {10}^{6} kg

\text{mass of aircraft carrier} = 7.3 \times  {10}^{7}  \: kg

\text{difference of masses of aircraft and train: } \\  \\ 7.3 \times  {10}^{7}  - 9.98 \times  {10}^{6}  \\  \\  = 73 \times  {10}^{6}  - 9.98 \times  {10}^{6}

= (73 - 9.98 )\times  {10}^{6}  \\  \\  = 63.02 \times  {10}^{6}  \\  \\  = 6.302 \times  {10}^{6}  \: kg \\  \\  \approx 6.3 \times  {10}^{6}  \: kg

Approximately, aircraft carrier is 6.3 × 10^6 kg heavier than the freight train.
7 0
2 years ago
11/12 of the disk space on a
svet-max [94.6K]

Answer:

2 whole number 1 out of 4

Step-by-step explanation:

11/12 x 3

11/4 = 2remainder 3

2 whole number 3 out of 12

When u reduce it will be 2 whole number 1 out of 4

8 0
3 years ago
The pro shop at the Live Oak Country Club ordered two brands of golf balls. Par One balls cost $2.00 each and the Pro Sport ball
mario62 [17]

Answer:

If an equal number of each brand was ordered, how many dozens of each brand were ordered?

  • 50 dozens of each brand

Step-by-step explanation:

in order to determine the number of balls purchased, we must first determine the difference in price between them = $2 - $0.90 = $1.10

since the total difference in price was $660 and an equal number of balls were purchased, then the number of balls purchased = $660 / $1.10 = 600 balls

to determine the number of dozens purchased of each brand we just divide 600 by 12 = 50 dozens

8 0
3 years ago
The table displays the frequency of scores for a calculus class on an exam. The mean of the exam scores is 3.5. Score 1 2 3 4 5
vladimir1956 [14]

Answer:

f=11

Mode=4

Median=4

Explanation:

We are given that

a.Mean of the exam score,\bar x=3.5

Score(x)   frequency   C.F

1                  1                 1

2                  3                4

3                  f                 15(4+f=4+11)

4                  13               28

5                   4               32

\sum f_i=1+3+f+13+4=21+f

\sum f_ix_i=1(1)+2(3)+3(f)+4(13)+5(4)=1+6+3f+52+20=79+3f

(\bar x)=\frac{\sum f_ix_i}{\sum f_i}

Using the formula

3.5=\frac{79+3f}{21+f}

73.5+3.5f=79+3f

3.5f-3f=79-73.5

0.5f=5.5

f=\frac{5.5}{0.5}=11

b.Mode:The number which is repeat most times .

4 repeat most times

Hence, mode of all exam scores=4

N=32

N is even

Median=\frac{(\frac{n}{2})^{th}+(\frac{n}{2}+1)^{th}}{2}

Median=\frac{16th+17th}{2}=\frac{4+4}{2}=\frac{8}{2}=4

7 0
3 years ago
Manny makes dinner using 1 box of pasta and 1 jar of sauce. if pasta is sold in packages of 6 boxes and sauce is sold in package
natka813 [3]
<span>You need to find the least common multiple of 6 and 3. This the minimum whole number that contains the number of boxes in one package of pasta and the number of jars in one package of sauce. t he least common multiple of 6 and 3 is 6. This means that Manny can make 6 dinners, which will be made with 1 package of pasta (6 boxes ) and two packages of sauce (2 * 3 = 6 jars).</span>
3 0
2 years ago
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