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4 years ago

A collection of quarters and dimes is worth $18.30. There are 111 coins in all.

1 answer:

7 0

We can set up a system of equations.

x + y = 111
0.25x + 0.10y = 18.30

x + y = 111

Subtract 'y' to both sides:

x = -y + 111

Plug in '-y + 111' for 'x' in the 2nd equation:

0.25(-y + 111) + 0.10y = 18.30

Distribute 0.25 into the parenthesis:

-0.25y + 27.75 + 0.10y = 18.30

Combine like terms:

-0.15y + 27.75 = 18.30

Subtract 27.75 to both sides:

-0.15y = -9.45

Divide -0.15 to both sides:

y = 63

Plug this back into any of the two equations to find the 'x' value.

x + y = 111

x + 63 = 111

Subtract 63 to both sides:

x = 48

So there are 48 quarters and 63 dimes.

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On a park map, the distance from a picnic table to the hiking trail is 3 centimeters (cm). The map uses a scale of 2 cm = 150 me

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Answer:

<em>The correct option is c. 225 m</em>

Step-by-step explanation:

<u>Scaling</u>

Objects can be represented in a reduced or augmented size by using scaling which is basically multiplying or dividing by a constant factor. We use scaling when representing geographic locations on a map.

We know on a park map, the distance from a picnic table to the hiking trail is 3 cm and the map uses a scale of 2 cm = 150 m. Dividing by 2, the equivalence between centimeters in the map and meters in the field is

1 cm = 75 m

Based on the scale factor, we can calculate the actual distance:

3 cm * 75 m/cm = 225 m

a. This option is incorrect because it's not 225 m

b. This option is incorrect because it's not 225 m

c. This option is correct because the actual distance is 225 m

d. This option is incorrect because it's not 225 m

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3 years ago

If a someones average free throw for basketball is 60 percent and they want to predict how many times in the next 50 tries she w

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You want to find out what 60% of 50 will be.

50 x 60% = y

30 = y

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4 years ago

Find the volume of a cylinder with radius 3cm and height 7cm

BigorU [14]

Answer:

Step-by-step explanation:

$V=h\pi r^2\\ \\ h=7\ and\ r=3\\ \\ V=8(3^2)\pi\\ \\ V=72\pi cm^3\\ \\ V\approx 226.2cm^3$

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3 years ago

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Tomtit [17]

The circles are similar with the diameter of the smaller one being half the diameter of the large one. Then the circumference is also half the size.

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3 years ago

The nominal rate on Sarahâ€™s loan is 7. 250%. If the interest is compounded monthly, what rate of interest is Sarah actually pa

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The correct statement is that Sarah is paying interest compounded monthly at the rate of 7.496%.. So, the correct option from the above statement is B.

Compound interest can be calculated by the way of applying the values to the formula given in the information.

<h3>Compound Interest</h3><h3 />

Compound interest is best defined with the terms as interest given on accrued interest or the accumulated interest in addition to the interest on the principalprincipal amount.

The formula to calculate Compounded interest is as below,

$\rm Compounded\ Interest = 10000(1+ \dfrac {0.0725}{12})^1^2\\\\\\\rm Compounded\ Interest =10000(1+0.006)^1^2\\\\\\\rm Compounded\ Interest =10749.58\\$

The interest to be paid is calculated as $749.58 assuming that the principal was $10000 and the time for such loan was 1 year in the absence of information.

Calculating further, we can find that the effective rate of interest on such a loan is at the rate of 7.496%, which is rounded off to the nearest three decimal places.

Hence, the correct option is B that the actual interest paid by Sarah at the rate of 7.250% for the period of 1 year will be effectively 7.496%

To know more about compound interest, click the link below.

brainly.com/question/25857212

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3 years ago