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umka2103 [35]
3 years ago
10

The expression 48+40 gives the number of minutes that the two channels spend on weather reports in the early morning. Use the di

stributive poperty to rewrite that sum as a multiple
Mathematics
1 answer:
Lorico [155]3 years ago
3 0

Answer:

  8(6 +5) = 4(12 +10) = 2(24 +20)

Step-by-step explanation:

There are several common factors of 48 and 40. Any of them can be used for the purpose.

 48 +40

  = 2(24 +20)

  = 4(12 +10)

  = 8(6 +5)

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slava [35]

The y-intercept is 2, and the x-intercept is -4 and 2 where the line segment crosses the y-axis and x-axis.

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

\rm m =\dfrac{y_2-y_1}{x_2-x_1}

Where the line segment crosses the y-axis is the y-intercept,

And where the line segment crosses the x-axis is the x-intercept,

From the graph,

y-intercept is at (0,2)

x-intercepts is at (-4,0), (2,0)

Thus, the y-intercept is 2, and the x-intercept is -4 and 2 where the line segment crosses the y-axis and x-axis.

Learn more about the straight line here:

brainly.com/question/3493733

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6 0
2 years ago
Read 2 more answers
Seth has a bank account which pays 1.01% interest, compounded quarterly. Seth withdraws $4,567 from the account every quarter fo
dimulka [17.4K]

Answer:

C. $538,021.66

Step-by-step explanation:

It is given that the money Seth withdraws was compounded every quarter for 35 years. So, we get,

Amount withdrawn every quarter, P = $4567

Rate of interest, r  = \frac{0.0101}{4} = 0.002525

Time period, n = 35 × 4 = 140

Now, as we know the formula for annuity as,

P=\frac{r \times PV}{1-(1+r)^{-n}}

where P = installments, PV = present value, r = rate of interest and n = time period.

This gives, PV=\frac{P \times [1-(1+r)^{-n}]}{r}

i.e. PV=\frac{4567 \times [1-(1+0.002525)^{-140}]}{0.002525}

i.e. PV=\frac{4567 \times [1-(1.002525)^{-140}]}{0.002525}

i.e. PV=\frac{4567 \times [1-0.7021]}{0.002525}

i.e. PV=\frac{4567 \times 0.2975}{0.002525}

i.e. PV=\frac{1358.68}{0.002525}

i.e. PV=538,091.08

So, the closest answer to initial value of the account is $538,021.66

Hence, option C is correct.

6 0
4 years ago
Read 2 more answers
The values of x and y are proportional. Determine the constant of proportionality(k)
Studentka2010 [4]
<h3>The constant of proportionality is k = 5</h3>

For direct proportion equations, you divide the y value over its corresponding x value to get the value of k.

For example, the point (x,y) = (2,10) is on the diagonal line. So k = y/x = 10/2 = 5.

Another example: the point (x,y) = (6, 30) is also on the same diagonal line, so k = y/x = 30/6 = 5 is the same result as before.

You can use any point on the diagonal line as long as it is not (0,0). This is because division by zero is not allowed.

side note: the direct proportion equation y = k*x becomes y = 5*x which is the graph of that diagonal line. The slope is m = 5, the y intercept is b = 0. All direct proportion graphs go through the origin as shown in the diagram.

3 0
4 years ago
A 64-ounce container of sports juice costs $6.50. A 48-ounce of the same juice costs $4.25. Which size container is the better b
Nady [450]

Answer:

Step-by-step explanation:

2

7 0
4 years ago
What is the slope of the line through (-9,6) and (-6,-9)
Juliette [100K]

\text{The slope formula:}\ m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{We have:}\\(-9;\ 6)\to x_1=-9;\ y_1=6\\(-6;\ -9)\to x_2=-6;\ y_2=-9\\\\\text{substitute:}\\\\m=\dfrac{-9-6}{-6-(-9)}=\dfrac{-15}{-6+9}=\dfrac{-15}{3}=-5

Answer: m = -5

7 0
4 years ago
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