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Afina-wow [57]
3 years ago
15

Two thirds of a number is 46. Find the number

Mathematics
1 answer:
zheka24 [161]3 years ago
8 0
2/3x = 46
2x = 46x3
2x= 138
x=138/2
x= 69

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What is the vertex of the graph of y = 2(x - 3)2 + 4?
Dvinal [7]

Answer:

(3, 4)

Step-by-step explanation:

vertex is (h, k)

this equation is written in the form of

y = a(x -h) +k

which is why the vertex is (3, 4)

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Last one for this one
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Step-by-step explanation:

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At maximum speed, an airplane travels
algol13

Answer:

The speed of the plane with no wind is 378 miles per hour.

Step-by-step explanation:

Since at maximum speed, an airplane travels 1680 miles against the wind in 5 hours, and flying with the wind. the plane can travel the same distance in 4 hours, to determine what is the speed of the plane with no wind, the following calculation must be performed:

Against the wind = 1680/5 = 336

With the wind = 1680/4 = 420

420 - ((420 - 336) / 2) = X

420 - 42 = X

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Therefore, the speed of the plane with no wind is 378 miles per hour.

4 0
3 years ago
What would be the first step to this system of equations?
blagie [28]

The first step to apply using the elimination method is by multiplying the whole value of equation 1 by 3/2.

\begin{gathered} (2x+3y=5\text{ )}\times\frac{3}{2} \\ -3x+2y=-14 \\ 3x+\frac{9}{2}y=\frac{15}{2} \\ -3x+2y=-14 \\ \frac{9}{2}y+2y=\frac{15}{2}-14 \\ \frac{9y+4y}{2}=\frac{15-28}{2} \\ \frac{13y}{2}=\frac{-13}{2} \\ 26y=-26 \\ y=-1 \\ -3x+2(-1)=-14 \\ -3x-2=-14 \\ -3x=-14+2 \\ -3x=-12 \\ x=\frac{-12}{-3} \\ x=4 \end{gathered}

7 0
1 year ago
All the factory workers in a steel mill either purchased their breakfast I. The company cafeteria or bought their breakfast from
Lana71 [14]

Answer:

There are 200 factory workers employed at steel mill.

Step-by-step explanation:

Let the total number of workers employed at steel mill be 'x'.

Now Given:

Percentile Number of workers purchased breakfast = 26%

So we can say that;

Number of workers purchased breakfast = \frac{26}{100}x=0.26x

Also Given:

Number of workers brought breakfast from home = 148

Solution:

Now we can say that;

total number of workers employed at steel mill is equal to sum of Number of workers purchased breakfast and Number of workers brought breakfast from home.

framing in equation form we get;

x=0.26x+148

Combining the like terms we get;

x-0.26x=148\\\\0.74x=148

Dividing both side by 0.74 we get;

\frac{0.74x}{0.74}=\frac{148}{0.74}\\\\x= 200

Hence There are 200 factory workers employed at steel mill.

8 0
3 years ago
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