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3 years ago

5

Alonzo has completed 44 Deliveries so far this week he needs to make 55 deliveries for the week what percentage of his deliver

y has Alonzo completed?80%

1 answer:

bonufazy [111]3 years ago

6 0

Answer:

80%

Step-by-step explanation:

Find 44/55 and multiply the result by 100%: (0.8)(100%) = 80% (completed)

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The area of a triangle is 56.4cm and the base is 12cm.What is the height of the triangle?

ale4655 [162]

area of a triangle = 1/2 base x height

56.4 = 1/2 x 12 x height

56.4 = 6 x height

height = 56.4 /6 = 9.4cm

7 0

3 years ago

John made a small rectangular table for his workroom. If the sides of the table are 32 inches and 26 inches, what should the tab

matrenka [14]

Answer:

The table should measure diagonally about 41.23 inches.

Step-by-step explanation:

To find the diagonal of a rectangle we use the formula :

$a^{2}$ + $b^{2}$ = $c^{2}$

A and B both represent the side lengths of the rectangle, while C is the diagonal part. Knowing this formula, let's plug in the values for A and B and see what happens.

$32^{2}$ + $26^{2}$ = $c^{2}$

1024 + 676 = $c^{2}$

1700 = $c^{2}$

The square root of 1700 is (rounded to the hundreth's place) = 41.23

6 0

3 years ago

A bag contains 5 blue marbles, 2 green marbles, and 3 yellow marbles. What is the probability of choosing one green marble and t

Vesna [10]

Answer:

Step-by-step explanation:

Total number of marbles = 5 + 2 + 3 = 10

Probability of choosing 1 green marble = 2/10

Probability of choosing 1 yellow marble = 3/10

Notice (and this is important) that the denominator didn't change. Why?

Because you replaced the first marble into the bag. That word replacement is critical in a problem of this nature. There is the term non replacement which means that the second draw would have a denominator of 9.

So what is the probability of P(green then yellow)?

P(green then yellow) = 3/10 * 2/10 = 6/100

Answer: P(green then yellow) = 3/50 because 6 / 100 reduces.

4 0

2 years ago

Round to the nearest hundredth (Geometric Series problem)

WITCHER [35]

Answer:

15.98

Step-by-step explanation:

∑₁¹⁰ $8(\frac{1}{4} )^{n-1}$

$=8[1+\frac{1}{4} +\frac{1}{16} + ........ +t_{10}]$

We have to use the formula of sum of a G.P. series with common ratio r < 1.

If the first term is a, the common ratio is r and the number of terms is n then the sum [a + ar + ar² + ar³ + ......... up to n terms] is given by

$[a \times\frac{1-r^{n} }{1-r}]$

$= 8[1 \times \frac{1-\frac{1}{2^{10} } }{1-\frac{1}{2} } ]$

$= 15.98$ (Answer)

4 0

3 years ago

Alex and Freddy collect stamps. The number of stamps in Alex’s collection is in ratio 3:5 to the number of stamps in Freddy’s co

Tems11 [23]

Suppose Alex has 3x stamps, Freddy has 5x stamps. After Freddy gives Alex 10 stamps, Alex has 3x+10 while Freddy has 5x-10
the new ratio is 7 to 9, so we have the equation: (3x+10)/(5x-10)=7/9
9(3x+10)=7(5x-10)
27x+90=35x-70
160=8x
x=20
So Alex has 3*20=60 stamps while Freddy has 5*20=100. Together they have 160

4 0

3 years ago