A number of dimes and quarters are worth $2.55. If the number od dimes and quarters were interchanged the resulting new amount would be $2.70. How many of each kind of coin were there before the interchange?

Answer:

The least common denominator is 12.

Step-by-step explanation:

Here's how I got my answer.

First, I listed out the multiples of 4, which is the denominator of 1/4.

4: 4, 8, 12, 16

Next, I listed out the multiples of 3, which is the denominator of 2/3.

3: 3, 6, 9, 12

The smallest number they have in common is 12.

Therefore, the least common demoninator (LCM) is 12.

Answer:

it c

Step-by-step explanation:

Answer:

B: 6 units

Step-by-step explanation:

just took the test

The area of triangle GHJ is 6 square units.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

To find the area of triangle GHJ, we can use the formula:

Area = (1/2) x base x height

where the base is any one of the sides of the triangle, and the height is the perpendicular distance from that side to the opposite vertex.

We can choose any side of the triangle as the base, but it is convenient to choose the side that is horizontal or vertical to simplify the calculations.

In this case,

We can choose the base to be the side GH, which has a length of 3 units (since the x-coordinates of G and H are different).

To find the height of the triangle,

We need to draw a perpendicular line from the vertex J to the base GH, and then calculate its length.

Since the x-coordinate of J is 4 and the x-coordinates of G and H are both 1, the base GH is 3 units long.

Also,

The y-coordinate of J is 5, and the y-coordinates of G and H are both 1, so the height of the triangle is 4 units.

The area of triangle GHJ is:

Area = (1/2) x base x height

Area = (1/2) x 3 x 4

Area = 6 square units

Thus,

The area of triangle GHJ is 6 square units.

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Answer:

c

Step-by-step explanation:

because it makes the most sense

Answer:

I am going to say c

Step-by-step explanation:

Answer:

Step-by-step explanation: b I think

Answer:

m = 3

Step-by-step explanation:

Answer:

m = 3

Step-by-step explanation:

6m + 5 = m + 20

6m + 5 - 5 = m + 20 - 5

6m = m + 15

6m - m = m - m + 15

5m = 15

5m ÷ 5 = 15 ÷ 5

m = 3

Answer:B-t=37705-20h

Step-by-step explanation:The answer is B because you need to get rid of all  of the money she made working so you subtract 20 by how ever many hours she has worked

Answer:

Second option : t = 37705 - 20h

Step-by-step explanation:

I took the test

Step-by-step explanation:

For 3 scoops = 18 cookies

Lets use the unitary method,

So for 1 scoop, how many cookies?

So, 18 /3 = 6

So, 1 scoop = 6 cookies

So for 4 scoops we will multiply by 6 (as 1 scoop = 6 cookies)

So, 4 x 6 = 24

So, 24 cookies can be made if we add 4 scoops of flour

4 scoops = 24 cookies

Answer:

129.6

Step-by-step explanation:

A= 1/2 bh

=7.8 x 9 x 1/2

= 35.1

A= 1/2 bh

=7x 9 x 1/2

= 31.5

31.5 x 3

= 94.5

Add

35.1 + 94.5 = 129.6

Answer:

256,800 I believe

Step-by-step explanation:

you add up all the numbers and multiply by 4

Answer:

a)

Verify is the corresponding sides have same ratio:

Since the ratios are same, the triangles are similar

b)

If one dimension is same, the base areas will make difference by the square of the scale factor:

Answer:

Answer: The measure of ∠CBD is 36°. The length of segment CD is 6 cm.

The trigonometric function gives the ratio of different sides of a right-angle triangle. The length of the segment CD will be equal to 12cm (60/5).

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

1.   For a regular pentagon, the measure of an internal angle is equal to 108°, therefore, the measure of ∠ABD is 108°.

2.   Since the line CB is bisecting ∠ABD, therefore, the measure of the ∠CBD is 54°.

3.   The length of the segment CD will be equal to the length of a side of the pentagon, therefore, the length of the segment CD will be equal to 12cm (60/5).

4.   The trigonometric ratio that can be used to compare BC to CD using ∠CBD is Tangent.

5.   The approximate length of BC can be determined as,

Tan(54°)=CD/BC

BC = CD/Tan(54°)

BC = 8.719 cm

6.    The approximate length of BD can be determined using the Pythgorus theorem,

BD² = CD² + BC²

BD = 10.5835 cm

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Answer:

y = 126° + 29° = 155°

Step-by-step explanation:

I think this may be a solution:

126°+29°=155°

So, y=155°

Answer:

It's B

Step-by-step explanation:

Answer:

(3z+15) cm

Step-by-step explanation:

Perimeter: z cm + 8 cm + (z+3) cm + (z+4) cm = z cm + (z+3) cm + (z+4) cm +8 cm = (3z + 7) cm + 8 cm = (3z+15) cm.

Answer:

The answer is four since the probability is 1/4 in fraction form

Step-by-step explanation:

hope this helps!

Answer:

HOW DO I ANSWER THIS

Step-by-step explanation:

Answer:

z=7

Step-by-step explanation:

3z+5=4z-2

5=4z-2-3z

5=z-2

5+2=z

7=z

z=7

Answer:

Abc= D= 2.94C

Step-by-step explanation:

Answer:

1/18

Step-by-step explanation:

yur welcome

Answer:

your answer is number 3 or 4 I believe it is both

Answer:

11 servings include 11(3/5), or 33/5, or 6 3/5, cups of rice.

Step-by-step explanation:

If 1 serving includes 3/5 cup of rice, then multiplying both numerals here by 11 produces a similar statement for 11 servings:

11 servings include 11(3/5), or 33/5, or 6 3/5, cups of rice.

Answer: 9.75

Step-by-step explanation:

if the missing side is the leg of the triangle. 13.89 if missing side is the hypotenuse