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STatiana [176]
3 years ago
14

Anaika has found 25 coins this week, all quarters and dimes . If total worth of all coins is $4.00, how many of each coin does a

nakin have?

Mathematics
1 answer:
balu736 [363]3 years ago
4 0

Answer:

10 quarters and 15 dimes

Step-by-step explanation:

25 = Quarters +  Dimes

Total worth = $4.00 =  0.25* Quarter +  0.1*Dimes

so...

25 = Q + D ,     D = 25 - Q

4 =  0.25*Q + 0.1 * (25 - Q)

4 = 0.25 * Q + 2.5 - 0.1*Q

1.5 = 0.15Q

Q = 10

D = 15

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SOMEONE HELP ASAP! IM STUCKKKKKK
fredd [130]

Answer: B) increasing for x < -4/3 and x > 4/3

                   decreasing for -4/3 < x < 4/3

<u>Step-by-step explanation:</u>

Graph the equation and follow the curve from left to right. If you are going up, it is increasing. If you are going down, it is decreasing.

Refer to the image below. Red is increasing. Blue is decreasing.

The vertices are at: x = -4/3 and x = 4/3

6 0
3 years ago
What is the area of the circle?
AlexFokin [52]

Answer:

530.93

Step-by-step explanation:

area of a circle = πr²

where r = radius

here we are given the diameter

to convert to radius , we divide by 2

so radius = 26 / 2 = 13

so we have A = πr²

==> plug in r = 13

A = π13²

==> evaluate exponent

A = 169π

==> multiply 169 and π

A = 530.93 ( approximately )

4 0
2 years ago
01. Se tienen los angulos consecutivos AOB, BOC y COD. se cumple m&amp; AOC=125° m <br>​
Citrus2011 [14]

La diferencia entre los ángulos <em>AOB</em> y <em>COD</em> del sistema de tres ángulos <em>consecutivos</em> es igual a 25°.

La medida del ángulo BOC pertenenciente al sistema de tres ángulos consecutivos es igual a 20°.

<h3>Cómo analizar tres ángulos consecutivos</h3>

Por la geometría Euclídea conocemos que un conjunto de ángulos cuando comparten entre cada par de ángulos vecinos comparten el mismo vértice y la misma semirrecta.

De acuerdo con el enunciado, tenemos las siguientes condiciones:

∠AOB + ∠BOC = 125°   (1)

∠BOC + ∠COD = 100°  (2)

Por (1) y (2) tenemos las siguiente identidad:

∠AOB - 25° = ∠COD

∠AOB - ∠COD = 25°

La diferencia entre los ángulos <em>AOB</em> y <em>COD</em> del sistema de tres ángulos <em>consecutivos</em> es igual a 25°. \blacksquare

En el segundo caso, tenemos el siguiente sistema:

∠AOB = ∠BOC + ∠COD     (3)

∠AOB + ∠BOC - ∠COD = 40°     (4)

Por (3) y (4) tenemos la siguiente identidad:

2 · ∠BOC = 40°

∠BOC = 20°

La medida del ángulo BOC pertenenciente al sistema de tres ángulos consecutivos es igual a 20°. \blacksquare

Para aprender más sobre ángulos, invitamos cordialmente a ver esta pregunta verificada: brainly.com/question/21209282

8 0
2 years ago
PLEASE HELP!! WILL GIVE Points Using the known angle, what side is known? What side is unknown? Use opposite, adjacent, or hypot
ruslelena [56]

4.

known side: opposite (150m)

unknown sides: adjacent and hypotenuse

using Tan to find the distance from the tower's base to the key.

why do we use Tan to find the distance?

the tower creates an angle of 72 degrees with the ground, which will be called α, and it is 150m high from the ground which is opposite ∠α. (shown in picture). we can see that the distance from the base of the tower to the key is the adjacent of the ∠α.

Tan α =  opposite / adjacent

=> Tan 72° = 150 / x

=> x = 150 / Tan 72°

=> x = 48.73795443 m = ~48.7m

5.

4.

known side: opposite (150m)

unknown sides: adjacent and hypotenuse

using Sin to find the distance that the ant travelled.

why do we use Sinn to find the distance?

the tower creates an angle of 72 degrees with the ground, which will be called α, and it is 150m high from the ground which is opposite ∠α. (shown in picture). the ant travelled along the tower's body, which is the hypotenuse of the triangle, from the top until reaching the ground.

Sin α =  opposite / hypotenuse

=> Sin 72° = 150 / x

=> x = 150 / Sin 72°

=> x = 157.7193336 m = ~157.7m

6.

(using unrounded numbers to calculate because there is a small difference in results if using the rounded numbers)

c^2 = a^2 + b^2 (pythago)

157.7^2 = 150^2 + 48.7^2

24875.3882 = 24875.3882 (correct)

7 0
2 years ago
Please help on number 7.
Lubov Fominskaja [6]
What is a collinear
6 0
3 years ago
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