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BaLLatris [955]
2 years ago
15

Using the least number of coins how many quarters, dimes, nickels, and pennies to make $1.74

Mathematics
1 answer:
SpyIntel [72]2 years ago
4 0

Let's use our largest amount (quarter) to see how many can fit evenly into 1.74.

  • 1.74/0.25 = 6.96
  • The most quarters that can fit into $1.74 is 6.

---Multiply $0.25 by 6 = $1.50

---Subtract $1.50 from $1.74 = $0.24

---We need to use the rest of the coins to fill up $0.24.

Now let's use our second largest amount (dime) to see how many can fit evenly into 0.24.

  • 0.24/0.10 = 2.4
  • The most dimes that can fit into $0.24 is 2.

---Multiply $0.10 by 2 = $0.20

---Subtract $0.20 from $0.24 = $0.04

No nickels can fit into $0.04, because they are worth $0.05.

We can use our least amount (pennies) to fill in the $0.04 remaining.

Your answer is 6 quarters, 2 dimes, and 4 pennies.

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Find the measure of angle x in the figure below<br><br>A.35°<br>B.47°<br>C.51°<br>D.62°
Dafna11 [192]
First of all, we know that a line is 180°. This means if we add the angles of 61°, 57°, and angle y, we should get 180<span>°.

\sf 61\textdegree +57\textdegree+y=180\textdegree

Simplify:

\sf 118\textdegree +y=180\textdegree

Subtract 118° to both sides:

\sf y=62\textdegree

We also know that all three angles of a triangle add up to 180<span>°. So we have:

\sf 67\textdegree+62\textdegree +x=180\textdegree

Simplify:

\sf 129\textdegree +x=180\textdegree

Subtract 129° to both sides:

\sf x=\boxed{\sf 51\textdegree}
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5 0
3 years ago
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Find the x- and y-intercepts of the graph of each equation. (set x &amp; y equal to 0; two different
bogdanovich [222]
X= 2 y=4 these are the intercepts
5 0
3 years ago
Solve this system of equations by graphing. First graph the equations, and then type the solution.
stealth61 [152]

Answer:

The solution is the point (1,-4)

Step-by-step explanation:

we have

y=-3x-1 ----> equation A

y=-2x-2 ----> equation B

we know that

The solution of the system of equations by graphing is the intersection point both graphs

using a graphing tool

The intersection point is (1,-4)

see the attached figure

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The solution is the point (1,-4)

5 0
3 years ago
What is the length of s?​
vovangra [49]

Answer:

s = 16.97 units

Step-by-step explanation:

Since this is a right triangle, we can use trigonometry to figure out the lengths of the sides.

Look at the 45 degree angle. We can use the opposite side (12) and the hypotenuse (s) to solve for s.

Opposite and hypotenuse is sine, so we are using sine. The sine of 45 degrees is 0.70710678118. Make an equation like so:

  • 0.70710678118 = \frac{12}{s}, and we are solving for s.

Put a 1 in the denominator of sine(45 degrees) so you can cross-multiply.

  • \frac{0.70710678118}{1} =\frac{12}{s}

Cross multiply.

  • 0.70710678118s = 12

Divide both sides by sine(45 degrees).

  • s = 16.97

The length of side s is 16.97 units.

Another way to have done this problem is to use the Pythagorean theorem: a^2 + b^2 = c^2

Substitute 12 for a and b and solve for c, the hypotenuse.

  • (12)^2 + (12)^2 = c^2

Evaluate the exponents.

  • 144 + 144 = c^2

Add them together.

  • 288 = c^2

Square root 288 to solve for c.

c = 16.97, which is the same answer as you got using trigonometry.

6 0
3 years ago
The following equation is an example of a literal equation.
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Answer:

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Step-by-step explanation:

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