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lawyer [7]
3 years ago
6

Jackie has one sister. Jackie's sister is 4 years older than her. The girls' ages add up to 28. Write an equation to solve for J

ackie's age. *
Mathematics
1 answer:
ZanzabumX [31]3 years ago
3 0

Answer:

Jackie's age = 12 years and Her sister's age = 16 years

Step-by-step explanation:

Let the age of Jackie be x.

Her sister's age = (x+4)

The sum of ages = 28

ATQ,

x+x+4 = 28

2x+4 = 28

2x = 24

x = 12

Jackie's age = 12 years

Her sister's age = (12+4) = 16 years

Hence, this is the requiredsolution.

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Reduce 1.256 g to micrograms, to milligrams, and to kilograms.
ch4aika [34]

Answer:

1.256g = 1,256,000 micrograms

1.256g = 1256mg

1.256g = 0,001256kg

Step-by-step explanation:

This is a conversion of units problem, that can be solved by rules of three.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

Unit conversion problems, like this one, is an example of a direct relationship between measures.

First step: 1.256g to micrograms

Each g has 1,000,000 ug. So:

1g - 1,000,000 ug

1.256g - xug

x = 1,000,000*1.256

x = 1,256,000 micrograms

Second step: 1.256g to mg

Each g has 1,000 mg. So:

1g - 1,000mg

1.256g - xmg

x = 1,000*1.256

x = 1256mg

Final step: 1.256g to kg

Each kg has 1,000g. So:

1kg - 1,000g

xkg - 1.256g

1,000x = 1.256

x = \frac{1.256}{1,000}

x = 0,001256kg

5 0
3 years ago
Corey flying a kite with 105 meters of string.His string makes an angle of 42 degrees with the level ground. How high is the kit
mafiozo [28]

<u>Given</u>:

Given that Corey is flying a kite with 105 meters of string.

The string makes an angle of 42° with the ground level.

We need to determine the height of the kite.

<u>Height of the kite: </u>

The height of the kite can be determined using the trigonometric ratio.

Thus, we have;

 sin \ \theta=\frac{opp}{hyp}

From the given data, the values are  \theta=42^{\circ}, opp = h (height of the kite) and hyp = 105 meters.

Substituting the values, we get;

sin \ 42=\frac{h}{105}

Multiplying both sides of the equation by 105, we get;

sin \ 42 \times 105=h

0.669 \times 105=h

        70.245=h

Rounding off to the nearest meter, we get;

h=70

Thus, the height of the kite is 70 meters.

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3 years ago
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statuscvo [17]

Answer:-1.8 do good on the rest of your test`

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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