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Yanka [14]
3 years ago
5

An animal shelter spends $5.00 per day to care for each bird and $7.50 per day to care for each cat. Jayden noticed that the she

lter spent $247.50 caring for birds and cats on Wednesday. Jayden found a record showing that there were a total of 41 birds and cats on Wednesday. How many birds were at the shelter on Wednesday?
Mathematics
1 answer:
Vilka [71]3 years ago
7 0

Answer:

   24 birds

Step-by-step explanation:

Let b represent the number of birds at the shelter on Wednesday. Then the cost of care for the 41 animals is ...

  5b +7.5(41 -b) = 247.50

  -2.5b +307.50 = 247.50 . . . . . simplify

  -2.5b = -60 . . . . . . . . . . . . . . . . subtract 307.50

  b = 24 . . . . . . . . . divide by -2.5

The number of birds at the shelter on Wednesday was 24.

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The total angle sum of a triangle is 180°
As such, 180= 78 + 2s +4s
102= 6s
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2 years ago
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I do not know how to do this.
Nonamiya [84]

Answer:

Step-by-step explanation:

(a) Option B cost less at 120 miles driven

The cost difference at 120 miles between option A and option B is $15

(b) Option A and B cost the same at driving 60 miles.

Option B would cost more if you drive less than 60 miles.

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2 years ago
What is the value of x?<br><br> Enter your answer in the box.<br><br> x =
antoniya [11.8K]

Answer:

It's answer is 8

Step-by-step explanation:

hypotenuse (h) = 10

base (b) = 6

perpendicular (p) = x = ?

We know by using Pythagoras theorem

p = √ h² - b²

= √ 10² - 6²

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3 0
2 years ago
Ayuda por favor
sergeinik [125]

A partir de la definición de razón y la teoría de semejanza entre triángulos, la razón del área del triángulo AMN y el área del cuadrilátero BMNC es equivalente a 1/3.

<h3>¿Cómo determinar la medida de un lado de un triángulo desconocido?</h3>

En este problema tenemos un sistema formado por dos triángulos <em>similares</em>, la semejanza entre los dos triángulos se debe a la colinealidad entre los segmentos de línea AP' (triángulo <em>pequeño</em>) y AP'' (triángulo <em>grande</em>), así como de los lados AM y AB, así como los lados AN y AC, así como los <em>mismos</em> ángulos en la <em>misma</em> distribución. (Semejanza Lado - Ángulo - Lado)

En consecuencia, obtenemos las siguientes proporciones:

AP'/AP'' = MN/BC = 1/2     (1)

Finalmente, la proporción entre el triángulo AMN y el cuadrilátero BMNC es:

\frac{AMN}{ABC - AMN} = \frac{\frac{1}{2}\cdot a \cdot \left(\frac{1}{2}\cdot h \right)}{\frac{1}{2}\cdot (2\cdot a) \cdot  h - \frac{1}{2}\cdot a \cdot \left(\frac{1}{2}\cdot h \right)} = \frac{\frac{1}{4}\cdot a\cdot h }{a\cdot h - \frac{1}{4}\cdot a \cdot h }

\frac{AMN}{ABC - AMN} = \frac{\frac{1}{4} }{\frac{3}{4} } = \frac{1}{3}

A partir de la definición de razón y la teoría de semejanza entre triángulos, la razón del área del triángulo AMN y el área del cuadrilátero BMNC es equivalente a 1/3.

Para aprender sobre triángulos semejantes: brainly.com/question/21730013

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3 0
2 years ago
Marina spent $13.50 at the grocery store. She bought pears, kiwis, and pineapples. Pears cost $0.50 each, pineapples cost $1.50
MArishka [77]

Answer:

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number of pears = 19

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Step-by-step explanation:

Cost of a pear = $ 0.50

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cost of a kiwi = $ 0.3

Let the pineapples = p

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Number of kiwis = p - 2

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0.95 p = 9.6

p = 10

 

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3 years ago
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