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Stels [109]
3 years ago
8

A 5 poundbag of peanuts costs $9.30. It's going to be divided into 3/4 pound bags. How much will one bag cost?

Mathematics
1 answer:
dsp733 years ago
7 0
9.3/5 means that each pound is $1.86.

3/4 ($1.86) =$1.395 or $1.40 for 3/4 pound of peanuts. Hope that helps. :)
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A train travels 56 kilometers in 4 hours, and then 90 kilometers in 2 hours. what is its average speed?
ankoles [38]
56 + 90 = 146 kilometers
4 + 2 = 6 hours

rate = 146 km / 6 hour
= 24.333 km / hour
6 0
3 years ago
Please find the exact length of the midsegment of trapezoid JKLM with vertices J(6, 10), K(10, 6), L(8, 2), and M(2, 2). Thank y
I am Lyosha [343]

Answer:

the exact length of the midsegment of trapezoid JKLM  = \mathbf{ = 3 \sqrt{5} } i.e 6.708 units on the graph

Step-by-step explanation:

From the diagram attached below; we can see a graphical representation showing the mid-segment of the trapezoid JKLM. The mid-segment is located at the line parallel to the sides of the trapezoid. However; these mid-segments are X and Y found on the line JK and LM respectively from the graph.

Using the expression for midpoints between two points to determine the exact length of the mid-segment ; we have:

\mathbf{ YX = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} }

\mathbf{ YX = \sqrt{(8-5)^2+(8-2)^2} }

\mathbf{ YX = \sqrt{(3)^2+(6)^2} }

\mathbf{ YX = \sqrt{9+36} }

\mathbf{ YX = \sqrt{45} }

\mathbf{ YX = \sqrt{9*5} }

\mathbf{ YX = 3 \sqrt{5} }

Thus; the exact length of the midsegment of trapezoid JKLM  = \mathbf{ = 3 \sqrt{5} } i.e 6.708 units on the graph

8 0
3 years ago
Q#2 Graph the relation in the table.Then use the vertical-line test.Is the relation a function
tresset_1 [31]
The graph of the relation between x and y is as shown in attached figure

By applying the vertical line test we find that the relation is not a function because there are two points which are (1,-1) , (1,3) have the same value of x with different values of y which contradicts with with the rule of function.


5 0
3 years ago
Read 2 more answers
If 12,025 was invested at 3.25% compounded monthly 3 years, how much interest will be earned
wariber [46]

Answer:

$1,229.75

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

First, change 3.25% into a decimal:

3.25% -> \frac{3.25}{100} -> 0.0325

Since the interest is compounded monthly, we will use 12 for n. Lets plug in the values now:

A=12,025(1+\frac{0.0325}{12})^{12(3)}

A=13,254.75

Lastly, subtract A from P to get the interest earned:

13,254.75 - 12,025 = 1,229.75

6 0
3 years ago
The total bill for five people was $74.90. They Agreed to leave a 20% tip and divide the total cost evenly. How much did each of
Bingel [31]
TIP:
74.90*.2=14.98 
74.90+14.98=89.88
TOTAL:
89.88/5=17.98

each person pays $17.98

Hope this helps!
3 0
3 years ago
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