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3 years ago

Match the expressions to their solutions or equivalents.

Mathematics

1 answer:

Mashutka [201]3 years ago

4 0

Answer:

1. Matches with (4)

2. Matches with (-1)

3. Matches with (-1/3)

4. Matches with (-2)

5. Matches with (0.)

6. Matches with (1/2)

7. Matches with (-1/2)

8. Matches with (-4)

Step-by-step explanation:

1. Matches with (4)

28=2^2*7

60=2^2*5*3

GCF=2^2=4

2. Matches with (-1)

(-3/8) - (5/8)=-8/8=-1

3. Matches with (-1/3)

(-1/6) / (1/2)=(-1*2)/(6*1)=-2/6=-1/3

4. Matches with (-2)

0.5x=-1

x=-1/0.5=-2

5. Matches with (0.)

(1/2)*m=0

m=0

6. Matches with (1/2)

-4-(5/6)+5+(1/3)

((-24-5)/(6))+((15+1)/(3))

(-29/6)+ (16/3)=1/2

7. Matches with (-1/2)

(-2+(-1/3))/(4+(2/3))

(-7/3)/(14/3)=-1/2

8. Matches with (-4)

x belongs to the range of values greater than -4 so a value that is not a solution would be any outside this range like -4

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Answer:

1,2,3

Step-by-step explanation:

1*8=8+4+12<28

2*8=16+4=20<28

3*8=24+4=28=28

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3 years ago

The expression i/pt represents the rate of instrest being charged if a loan of p dollars for t years required i dollars in intre

zysi [14]

Answer:

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Step-by-step explanation:

Given:

Formula for Rate of interest $R$ :

$R=\dfrac{i}{Pt}$

Where $i$ is the rate of interest.

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$t$ years is the time for which interest is to be paid

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To find:

$R=?$

Solution:

Putting the given values in the formula:

$R=\dfrac{151.11}{690 \times 3}\\\Rightarrow R=\dfrac{151.11}{2070}\\\Rightarrow R=0.073$

Multiply the above value with 100 to find the percentage.

i.e.

$R=0.073\times 100 = \bold{7.3\%}$

Therefore, the answer is 7.3%

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4 years ago

-6d - (c - d)^2 ; if c = 7 and d = 4

irina1246 [14]

Answer:

-6d - (c - d)^2 = -33

Step-by-step explanation:

-6(4) - (3)^2 =

-24 - 9 =

-33

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3 years ago

A can in the shape of a cylinder has a diameter of 10 cm and a height of 6 cm. how much wrapping paper is needed to cover the cy

Sergeeva-Olga [200]

Answer:

Step-by-step explanation:

To determine the amount of wrapping paper needed to cover the can, we would determine the total surface area of the cylindrical can. The formula for determining the total surface area of a cylinder is expressed as

Total surface area = 2πr² + 2πrh

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

From the information given,

Diameter = 10 cm

Radius = diameter/2 = 10/2

Radius = 5 cm

Height = 6 cm

Therefore,

Total surface area = (2 × 3.14 × 5²) + (2 × 3.14 × 5 × 6)

= 157 + 188.4 = 345.4 cm²

345 cm² of wrapping paper is needed to cover the cylinder.

2) Volume of cylinder = πr²h

Volume of cone = 1/3πr²h

3 × Volume of cone = πr²h

The volume of the cylinder is 3 times greater than the volume of the cone. Therefore, the volume of the cone is 1/3 times lesser than the volume if the cylinder.

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Answer:

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Step-by-step explanation:

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