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Elena-2011 [213]
2 years ago
9

Solve this problem 17(5)

Mathematics
1 answer:
sergejj [24]2 years ago
7 0

Answer:

17x5 is 85

Step-by-step explanation:

ur welcome :))

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Which equation represents the line that is perpendicular to and passes through (-12,6)?.
Evgesh-ka [11]

The equation that represents the line that is perpendicular is

3y + 5x = -42

The standard equation of a line in point-slope form is expressed as:

y-y_1=m(x-x_1)

  • m is the slope of the lne
  • (x1, y1) is any point on the line.

  • Given the equation y = 3/2x + 1, the slope of the line is 3/5

  • The s<u>lope of the line perpendicular</u> is -5/3

Substitute the point (-12, 6) and the slope m = -5/3 into the equation above to have:

y-6=-5/3(x-(-12))\\3(y-6)=-5(x+12)\\3y-18=-5x-60\\3y = -5x - 60 + 18\\3y + 5x = -42\\

Hence the equation that represents the line that is perpendicular is

3y + 5x = -42

Learn more on equation of a line here:brainly.com/question/19417700

7 0
2 years ago
What's the answer to this question
frutty [35]

Step-by-step explanation:

there are several things to be considered to solve this.

the strategy is to caucuses the volume of the full "box", and then to deduct the 3-dimensional triangle that is "cut off" from the oil.

then we know the volume of the pool.

next step is to calculate the volume of a "box" with the same layout but is only 20 cm deep.

then we know how much volume can be pumped out in 30 minutes.

and then we divide the whole volume by that small volume to see how many 30-minues units are needed to empty the whole pool.

and then we transform the 30- minutes units into actual minutes or hours.

so, let's begin :

the whole box's volume is

2×1×1.4 = 2.8 m³

the volume of the 3-D triangle we need to subtract is the area of the triangle × width of the pool (this pool width is the height of the 3-D triangle).

2×(1.4 - 0.6) × 1 / 2 = 2×0.8 × 1 / 2 = 1.6/2 = 0.8 m³

so, the volume of the pool is

2.8 - 0.8 = 2 m³

now, how much volume can the pump eliminate in 30 minutes ?

the content of a box

1×2×0.2 = 0.4 m³

as 20 cm = 0.2 m

so, the pump pumps out 0.4 m³ in 30 minutes.

and we need to empty 2 m³.

that means we need

2 / 0.4 = 5

30-minues units = 5×30 = 150 minutes = 2.5 hours.

Colin has to wait 2.5 hours (150 minutes) to empty the complete pool.

6 0
3 years ago
Tom has 2 1/2 times as many cards as Harry. Together they have 98 cards. How many cards do they each have?
USPshnik [31]

Answer:

Tom has 70 cards, and Harry has 28 cards.

Step-by-step explanation:

Let h = number of cards Harry has.

Then the number of cards Tom has is 2 1/2 * h = 2.5h.

Together they have 2.5h + h = 3.5h number of cards.

Together they have 98 cards.

3.5h = 98

h = 98/3.5

h = 28

Harry has 28 cards.

Tom has 2.5h = 2.5 * 28 = 70

Answer: Tom has 70 cards, and Harry has 28 cards.

7 0
2 years ago
Solve each equation.<br>1. 9/2x+18+3x=11/2<br>2. (x+6)-(2x=7)-3x=-9
zzz [600]
1.\\\frac{9}{2}x+18+3x=\frac{11}{2}\ \ \ \ \ |Multiply\ by\ 2\\\\&#10;9x+36+6x=11\\\\&#10;15x+36=11\ \ \ |Subtract\ 36\\\\&#10;15x=-25\ \ \ |Divide\ by\ 15\\\\&#10;x=-1\frac{2}{5}\\\\&#10;2.\\&#10;(x+6)-(2x-7)-3x=-9\\\\&#10;x+6-2x+7-3x=-9\\\\&#10;-4x+13=-9\ \ \ |Subtract\ 13\\\\&#10;-4x=-22\ \ \ |Divide\ by\ -4\\\\&#10;x=5,5
3 0
3 years ago
Please Round 1.54 thank you
bearhunter [10]

Answer:

okay so it would be 2 or 1.5 i dont know if you want it whole number but i will explain

if the number is 5 or more like 5.1 or even 5 you round up

if the number is under 5 like 4,3,2,1 your round down

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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