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2 years ago

Write the following proportion: 8 is to 64 as 2 is to X

2 answers:

7 0

8 over 64 is equal to 2 over x...cross multipy and that should give you 128=8x...now just divide 128 by 8 to find x...x=16

Andrews [41]2 years ago

3 0

1 way
$\frac{8}{64} = \frac{2}{x} \\ \\ 
 \frac{8:4}{64:4} = \frac{2}{x} \\ \\ 
 \frac{2}{16} = \frac{2}{x}$ ⇔ x = 16
......................................................
2.way
$\frac{8}{64} = \frac{2}{x}$
We multiply the cross

$8x = 2 * 64
8x = 128
x = 16$

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The gym has a total of 25 treadmills and stationary bikes. there are seven more stationary bikes than treadmills.

Rudik [331]

The system of equations is $t+b=25\\b=t+7$

Step-by-step explanation:

We can answer this question as follows.

First of all, we call:

t = number of treadmills

b = number of stationary bikes

The two conditions that we have can be translated into equations as follows:

- The gym has a total of 25 treadmills and stationary bikes:

$t+b=25$

- There are seven more stationary bikes than treadmills:

$b=t+7$

So the system of equations to solve is

$t+b=25\\b=t+7$

We now solve it in the following way: first, we rewrite the second equation by bringing t on the left side,

$t+b=25\\b-t=7$

Now we add the 1st equation to the 2nd equation:

$(t+b)+(b-t)=25+7\\t+b+b-t=32\\2b=32\\b=\frac{32}{2}=16$

And therefore,

$t+b=25\\t+16=25\\t=25-16=9$

So, there are 16 stationary bikes and 9 treadmills.

Learn more about systems of equations:

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3 0

3 years ago

Please help ASAP for 10 points!!

Orlov [11]

Answer:

Step-by-step explanation:

(2x²+3x-4) +(8-3x) +(-5x²+2)= 2x²+3x-4 +8-3x-5x²+2 = - 3x²+6

5 0

2 years ago

Im not sure if anyone knows how to do this but if u do could u pleaseee help me with this!!!

slavikrds [6]

Answer:

y = -2x - 5

Step-by-step explanation:

1) Find the slope of the line.

The slope of the original line is the same as the slope of the parallel line.

Slope formula:

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

In this case you can choose any 2 set of points on the table.

$m = \frac{4 - 2}{-3 - (-2)}$ = $\frac{4 - 2}{-3 + 2}$ = $\frac{2}{-1}$ = -2

So the slope of the line is -2

2) Use the point-slope formula to find the equation of the line.

Point-slope formula:

$y - y_{1} = m(x - x_{1})$

Now plug in the point (0, -5) and the slope -2 into the equation.

y - (-5) = -2(x - 0)

y + 5 = -2(x - 0)

To solve the equation first apply the distributive property.

y + 5 = -2x + 0

y + 5 = -2x

Next, subtract 5 from sides.

y = -2x - 5

You know have your equation in point-slope form!

6 0

2 years ago

A jewelry maker has 24 jade beads and 30 teak beads.What is the greatest number of necklaces she can make? How many beads of eac

gulaghasi [49]

Jewelery maker has

24 jade beads

30 teak Beads

She has to make necklaces with each necklace having the same number of beads

So we need to find the highest common factor for both 24 and 30

The factors for both numbers are as follows

24 -1,2,3,4,6,8,12,24

30 - 1,2,3,5,6,10,15,30

The highest common factor for both is 6

The greatest number of necklaces she can make is 6

Number of jade beads - 24/6 = 4 jade beads

Number of teak beads - 30/6 = 5 teak beads

So each necklace will have 4 jade beads and 5 teak beads

6 0

3 years ago

Read 2 more answers

I need a lot of help on this

Natalija [7]

Answer:

True it is a rhombus

Step-by-step explanation:

Square is a rhombus because like a rhombus, all the sides of a square are equal in length. Even, the diagonals of both square and rhombus are perpendicular to each other and bisect the opposite angles. Therefore, we can say the square is a rhombus.

6 0

2 years ago