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jeka94
3 years ago
15

Solve the following multiplication and division problems.

Mathematics
1 answer:
algol133 years ago
5 0

Answer:

a. 22.5 km

b. 267.52 m

c. 95 m

d. (4.2)(10^{-5}) km

Step-by-step explanation:

a. You can convert from hectometers to kilometers, and then you can make the multiplication:

\frac{5hm}{10}=0.5km

(3km)(0.5km)(15)=22.5km

b. You can convert from centimeters to meters, and then you can make the multiplication:

\frac{44cm}{100}=0.44m\\(19m)(0.44m)(32)=267.52m

c. You only need to divide 1,140 meters by 12:

\frac{1,140m}{12})=95m

d. You can convert from hectometers to kilometers, from decameters to kilometers and from meters to kilometers, and divide this by 15:

\frac{6hm}{10}=0.6km

\frac{7dam}{100}=0.07km

\frac{5m}{1000}=0.005km

\frac{(3km)(0.6km)(0.07km)(0.005km)}{15}=(4.2)(10^{-5}) km

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son4ous [18]

Answer: El mayor lado del rectangulo tiene 10cm

Step-by-step explanation:

El perímetro de un rectángulo puede escribirse como:

P = 2*L + 2*A

Donde L es el largo y A es el ancho.

Sabemos que uno de los lados es 6cm mas largo que el otro, entonces podemos escribir:

L = A + 6cm.

P = 28cm = 2*L + 2*A

podemos reemplazar la primera ecuación en la segunda:

28cm = 2*(A + 6cm) + 2*A

28cm =  12cm + 4*A

28cm - 12cm = 4*A

16cm/4 = A

4cm = A.

Entonces el ancho es 4 cm, y el largo es L = 4cm + 6cm = 10cm

4 0
3 years ago
uppose that we have collected information on how much a sample of households spend on clothing per year. If we are 90% confident
Verizon [17]

Answer:

the chance that the population mean will either be less than $1,500 or above $2,100 is 10%

Step-by-step explanation:

We are 90% confident that the true population mean willl be between $1,500 and $2,100

This means that there is a 90% probability that the true population mean will be between $1,500 and $2,100.

So 100-90 = 10% probability that it is outside of this interval, that is, either be less than $1,500 or above $2,100.

So the correct answer is:

the chance that the population mean will either be less than $1,500 or above $2,100 is 10%

5 0
3 years ago
Simplify and evaluate<br><br> (6)(2^3)^2 / (2^2)^2
sveticcg [70]

Simplify and evaluate

(6)(2^3)^2 = 384

(2^2)^2 = 16

5 0
3 years ago
Lucy has 4 inches of ribbon that she wants to cut into 6 equal sized pieces. What is true about the length of each piece of ribb
PolarNik [594]

Answer:

Option C

Step-by-step explanation:

Given

Total length of ribbon lucy has=4 inches

She wants to divide it into 6 equal sized pieces so  

Length of each piece=4/6

This can also be written as:

Length of each piece=4*(1/6 )

Now we will look at the options one by one:

For A, Each piece has 6/4 inches of ribbon.. This statement is not true as we have to divide 4 inches into 6 pieces so 4 is supposed to be in the numerator.

For B, breaking down 4/6 gives us 4*(1/6), so the statement is not true.

For C , as we can see that the expression is 4*(1/6), each piece will have 1/6 of inches of ribbon.

So option C is the correct answer..

6 0
3 years ago
You are installing new carpeting in a family room. The room is rectangular with dimensions 2012feet × 1318feet . You intend to i
Pavlova-9 [17]

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4. The estimate and the actual are very close. They are 1/6 of a foot apart.

5a. Total baseboard 31 5/6ft - 2 1/4 ft = 29 7/12 feet needed.

5b. Take the total and divide it by 8ft  = 29 7/12 divided by 8= 3.7  You are not buying a fraction of a board so you would need 4 boards.

7 0
3 years ago
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