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Amanda [17]
3 years ago
14

What is the ratio 28 : 4 in it's simplest form?

Mathematics
2 answers:
nikklg [1K]3 years ago
7 0

Answer:

7:1

Step-by-step explanation:

28:4

Common highest factor is 4.

Simplify the ratio.

28 \div 4 : 4 \div 4

7:1

Lisa [10]3 years ago
5 0

Answer:

7:1

Step-by-step explanation:

28:4=

7(4):1(4)=

7:1

Hope this helps!

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What is a equivalent ratio of 45 and 90
lakkis [162]

Answer:

90:180, 135:270, 180:360

   

Step-by-step explanation:

7 0
3 years ago
A restaurant adds a 20% tip to the bills of parties of 6 or more people. Suppose a server waits on five such tables. The bill
castortr0y [4]

Answer:

$218.70

Step-by-step explanation:

You need to first convert the percentage to the decimal.

20% = 0.2

Now, you need to find 20% of each bill by multiplying each bill by 0.2.

0.2(185.45) + 0.2(205.20) + 0.2(195.05) + 0.2(245.80) + 0.2(262.00)

Because of the distributive property, you can add up the bills and multiply the sum by 0.2.

0.2(185.45 + 205.20 + 195.05 + 245.80 + 262.00)

0.2(1093.50)

218.7

The waiter made $218.70 in tips.

4 0
3 years ago
PLEASE HELP I WILL GIVE A LOT OF POINTS!
vazorg [7]

9514 1404 393

Answer:

  (2.27, 0.96)

Step-by-step explanation:

The orthocenter is the point of intersection of altitudes of the triangle. The equation for an altitude is the equation of a line through a vertex that is perpendicular to the opposite side.

For example, the line perpendicular to side AC can be found as ...

  (∆x, ∆y) = C-A = (3, -1) -(-4, 2) = (7, -3)

  ∆x(x -h) +∆y(y -k) = 0 . . . . perpendicular through point (h, k)

For side AC, we want the point to be B(4, 5), so the equation is ...

  7(x -4) -3(y -5) = 0

  7x -3y -13 = 0

Similarly, the altitude to side AB can be written as ...

  (∆x, ∆y) = B -A = (4, 5) -(-4, 2) = (8, 3)

  8(x -3) +3(y +1) = 0

  8x +3y -21 = 0

__

By the "cross multiplication method", the solution to these equations is ...

  x = (-3(-21) -(3(-13))/(7(3) -8(-3)) = (63+39)/(21+24) = 102/45 = 2 4/15 ≈ 2.27

  y = (-13(8) -(-21)(7))/45 = 43/45 ≈ 0.96

The orthocenter is near (2.27, 0.96).

__

A graphing application confirms this result.

_____

<em>Additional information about the cross multiplication method</em>

For the general form equations ...

  • ax +by +c = 0
  • dx +ey +g = 0

The "cross multiplication method" has you write the array ...

  \begin{array}{cccc}a&b&c&a\\d&e&g&d\end{array}

and form the "cross products" in groups of four coefficients:

  D = ae -db, X = bg -ec, Y = cd -ga

Then the solution to the set of equations is ...

  1/D = x/X = y/Y   ⇒   x = X/D, y = Y/D

__

<em>Additional note</em>

Videos of this method show you writing the array as bcab/egde and using the final equation x/X=y/Y=1/D. The above gets the same result in a more straightforward manner.

3 0
2 years ago
HOW DO I DO NUMBER 7?!?? WHATS THE ANSWER?!?!??????
hichkok12 [17]
Simple actually. The 1000 is the starting price the -20 is the losing of value per week and the w stands for the number of weeks.
5 0
3 years ago
What is the measure of an anglethat is supplementary to an angle of 37°? A. 127° B. 53° C. 143° D. 323°​
KengaRu [80]

<u>Answer:</u>

143°

option c is correct!

<u>Explanation:</u>

Given:

Two angles are supplementary:

One angle = 37°

We know if two angles are supplementary their sum is equal to 180°.

Let another angle be x°

= > 37° + x° = 180

= > x° = 143°

Therefore another angle is 143°.

8 0
2 years ago
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