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ratelena [41]
2 years ago
15

Vassil rounded to the nearest half to estimate the product of Five-eighths and StartFraction 8 over 9 EndFraction. How do the es

timated and actual products compare?
(Hint: use 18 for the denominator when comparing.)
The actual product is about StartFraction 1 over 18 EndFraction greater than the estimate.
The actual product is about StartFraction 1 over 18 EndFraction less than the estimate.
The actual product is about StartFraction 1 over 9 EndFraction greater than the estimate.
The actual product is about StartFraction 1 over 9 EndFraction less than the estimate.
Mathematics
1 answer:
Mice21 [21]2 years ago
5 0

The correct answer is option B which is the actual product is about StartFraction 1 over 18 EndFraction less than the estimate.

<h3>What are fractions?</h3>

The fraction is defined as the division of the whole part into an equal number of parts. here we have the following information Vassil rounded to the nearest half to estimate the product of Five-eighths and StartFraction 8 over 9 EndFraction.

E =  \dfrac{5}{8}\times \dfrac{8}{9} = 0.55

Thus the product of the fraction estimated in the nearest half is,

0.5×1= 0.50

Therefore the correct answer is option B which is the actual product is about StartFraction 1 over 18 EndFraction less than the estimate.

To know more about fractions follow

brainly.com/question/78672

#SPJ1

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Can someone pls help me answer this :/​
eimsori [14]

Answer:

y = - \frac{3}{2} x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = \frac{0-6}{4-0} = \frac{-6}{4} = - \frac{3}{2}

Since the line crosses the y- axis at (0, 6) ⇒ b = 6

y = - \frac{3}{2} x + 6 ← equation of line

5 0
3 years ago
Simplify.<br><br> 184.10<br> x 16<br> -----------
Mariulka [41]

Answer:

2.9456k is the correct answer

8 0
3 years ago
Read 2 more answers
The triangles are congruent. Find the length of each hypotenuse.
Zina [86]
If the triangles are congruents:
1) AC must be congruent with FE→AC=FE→y+3=2y+1→
y+3-y-1=2y+1-y-1→
2=y→y=2

2) CB must be congruent with ED→CB=ED→5x+7=6x+2y→
5x+7-5x=6x+2y-5x→7=x+2y→x+2y=7

Replacing y=2 in the equation above:
x+2y=7→x+2(2)=7→x+4=7→x+4-4=7-4→x=3

Then the lenght of each hypotenuse is:
CB=5x+7=5(3)+7=15+7→CB=22
or
ED=6x+2y=6(3)+2(2)=18+4→ED=22

The length of each hypotenuse is 22
6 0
3 years ago
Graph the data in the table below. Which kind of function best models the data? write an equation to model the data.
harina [27]

Answer:

A quadratic function.

y=2.5x^{2}

Step-by-step explanation:

If you plot the points given in the table, you obtain the graph shown in the figure attached.

As you can see, it is a parabola, therefore, the function that best models the data is a quadratic function.

By definition, the parent function of a quadratic function is:

y=x^{2}

You can compress or stretch it in the y-direction by multiplying the function by a constant C:

 y=Cx^{2}

If 0, then the function is compressed.

If C>1, then the function is stretched.

You can find the constant of the function asked as following:

- Substitute x=1 into the parent function to obtain the y-coordinate:

y=(1)^{2}=1

Then the point is (1,1)

- As you can see, with x=1 you obtain y=1 in the parent function, and in the function given in the table when x=1, y=2.5, therefore, the function is multiplied by 2.5. Therefore the constant is:

C=2.5

Then the function is:

y=2.5x^{2}

7 0
3 years ago
Can you guys help me with 15 please?!!!!!!
diamong [38]
B

Because first “reduce” both sides of the top equation by the same to simplify it. See what both sides have in common.

They both have 3 long rectangles and 2 Sm. Squares.

That leaves, 2 long rectangles = 6 squares.
Which means that each long rectangle = 3 squares
7 0
3 years ago
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