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valina [46]
3 years ago
14

Write the equation of the line that passes through (0, 3) and is parallel to the line 3x + 5y = 6.

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
7 0
There's more ways than one to solve this, just as there's more ways than one to skin a cat.

Two paralle lines have the same slope, so the desired new line looks exactly like the given line 3x + 5y = 6, except that the constant, 6, is replaced by another value.

Write out 3x + 5y = c
Replace x with 0 and y with 3.  Then 3(0) + 5(3) = c, and c = 15.

Thus, the equation of the new, parallel, line is 3x + 5y = 15.
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Miranda’s financial aid stipulates that her tuition not exceed $1200. If her college charges a $90 registration fee for the term
Arlecino [84]

Answer: the greatest number of courses for which miranda can register is 2

Step-by-step explanation:

Let x represent the number of courses for which Miranda can register.

If her college charges a $90 registration fee for the term plus $475 per course, it means that the total amount that the college charges for x courses would be

475x + 90

Miranda’s financial aid stipulates that her tuition not exceed $1200(it must be at most $1200). This means that

475x + 90 ≤ 1200

475x ≤ 1200 - 90

475x ≤ 1110

x ≤ 1110/475

x ≤ 2.34

3 0
3 years ago
Which number sentence is true? O A) 2.3 x 102 > 2000 OB) 3.45 > 1-4.35| OC) 345 > 5:33 825 OD 13​
OLEGan [10]

Answer:

D) -2.14< root10 <|-2.8|

Step-by-step explanation:

the value for -2.14 is as plain as you can see, the negative version of 2.14.

The square root of 10 is 3.16227766.

The lines next to -2.8 is asking for the absolute value of -2.8, or the distance between that number and zero. The distance between -2.8 and 0 is positive 2.8, because distance can't be negative.

The 3 numbers taken from the explanations are -2.14, 3.16, and 2.8. Ranking them from least to greatest would give you -2.14, 2.8, 3.16, or -2.14< root10 <|-2.8|

7 0
3 years ago
Josephine noticed that out of 10 e-mails she received, 7 were advertisements. What can she predict about the number of advertise
andriy [413]
She can expect 70 to be ads since there is 10 times more emails so 7 times 10 is 70 so 70 ads
4 0
3 years ago
Read 2 more answers
What is the volume of the composite figure? Round your answer to the nearest hundredth. Use 3.14 for π.
Reil [10]

Answer:

<em><u>263.76</u></em><em><u> </u></em><em><u>in</u></em><em><u>^</u></em><em><u>3</u></em>

VOLUME OF FIGURE=VOL.OF CONE+VOL.OF CYLINDER +VOL.OF HEMISPHERE

=(1/3×3.14×3×3×4)+(3.14×3×3×6)+(2/3×3.14×3×3×3)

=37.68+169.56+56.52

=263.76in^3

7 0
3 years ago
What is the simplest form of 20/100
Vinil7 [7]
20/100 in simplest form is 1/5
6 0
3 years ago
Read 2 more answers
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