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3 years ago

Round to the place value of 123,499 the 4 in 123,499

Mathematics

1 answer:

Serjik [45]3 years ago

7 0

Answer:

123,500

Step-by-step explanation:

That is because 499 is closer to 500 than 400

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24 ⅗ + 43 x (8 ⅕ - 2)

netineya [11]

Answer:

291 1/5

Step-by-step explanation:

4 0

3 years ago

Points P and Q belong to segment AB . If AB = a, AP = 2PQ = 2QB, find the distance: midpoints between AP QB

Digiron [165]

Answer: The distace between midpoints of AP and QB is $\frac{a}{8}$ .

Step-by-step explanation: Points P and Q are between points A and B and the segment AB measures a, then:

AP + PQ + QB = a

According to the question, AP = 2 PQ = 2QB, so:

PQ = $\frac{AP}{2}$

QB = $\frac{AP}{2}$

Substituing:

AP + 2*( $\frac{AP}{2}$ ) = a

2AP = a

AP = $\frac{a}{2}$

Since the distance is between midpoints of AP and QB:

2QB = AP

QB = $\frac{AP}{2}$

QB = $\frac{a}{2}*\frac{1}{2}$

QB = $\frac{a}{4}$

MIdpoint is the point that divides the segment in half, so:

<u>Midpoint of AP</u>:

$\frac{AP}{2} = \frac{a}{2}*\frac{1}{2}$

$\frac{AP}{2} = \frac{a}{4}$

<u>Midpoint of QB</u>:

$\frac{QB}{2} = \frac{a}{4}*\frac{1}{2}$

$\frac{QB}{2} = \frac{a}{8}$

The distance is:

d = $\frac{a}{4} - \frac{a}{8}$

d = $\frac{a}{8}$

4 0

3 years ago

Three students have started a fence-painting business. Working together, Pragnesh and Qazi can paint the fence in 12 hours. Simi

Mila [183]

Step-by-step explanation:

P and Q can do the whole work in 12 hours.

so, in 1 hour they can do 1/12.

P and R can do in 1 hour 1/15.

Q and R can do in 1 hour 1/20.

mathematically that looks like

P + Q = 1/12

P + R = 1/15

Q + R = 1/20

P + Q + R = 1/x

together they can do 1/x of the work in 1 hour.

it will take them x hours, if all 3 worked together.

from the first equation we get

P = 1/12 - Q

that gives us in the second equation

1/12 - Q + R = 1/15

R = 1/15 - 1/12 + Q = 4/60 - 5/60 + Q = Q - 1/60

but from the 3rd equation we get also

R = 1/20 - Q

so,

Q - 1/60 = 1/20 - Q

2Q = 1/20 + 1/60 = 3/60 + 1/60 = 4/60

Q = 2/60 = 1/30

R = Q - 1/60 = 2/60 - 1/60 = 1/60

P = 1/12 - Q = 1/12 - 2/60 = 5/60 - 2/60 = 3/60 = 1/20

so, we get for the sum :

P + Q + R = 3/60 + 2/60 + 1/60 = 6/60 = 1/10

that means in 1 hour they can do together 1/10 of the work.

so, together they will need 10 hours to paint the fence.

3 0

2 years ago

What is the circumference of the following circle?

Cloud [144]

Circumference c=2(pie)r
C=2(pie)5
C=31.42

3 0

3 years ago

Read 2 more answers

The population of retired citizens in Memphis is 54000. If the population decreases at a rate of 5.9 % each year. What will the

kobusy [5.1K]

We will have the following:

First, we construct the exponential decay function, that is:

$P(x)=54000(1-0.059)^x\Rightarrow P(x)=54000(0.941)^x$

Now, we will determine the population after 6 years:

$P(6)=54000(0.941)^6\Rightarrow P(6)=37491.38638$

So, the population after 6 years will be of approximately 37491 people-

5 0

1 year ago