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riadik2000 [5.3K]
2 years ago
15

Alice has $15 more than Barry. Charlene has only 2 times of the amount of Barry's money. If Alice has x dollars, how much money

do they have altogether?
Mathematics
1 answer:
natima [27]2 years ago
5 0
X=alice
b=barry
c=charlene

x=15 more than b
x=15+b

c=2 times of b
c=2b

all together
x+c+b
15+b+2b+b
15+4b
they have 15+4b or 15+4 times of barry
if we want in terms of x
x=15+b
x-15=b

15+4(b)
15+4(x-15)
15+4x-60
4x-45

they have 4x-45 together
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Step-by-step explanation:

Perpendicular lines have opposite reciprocal slopes, so the slope of the new line will be -1.

Plug the slope and the given point into y = mx + b to find b:

y = mx + b

3 = -1(-4) + b

3 = 4 + b

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3 years ago
Find the 3rd term in the expansion of (a+b)^8 in simplest form.
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Answer:

The fifth term is the middle term of nine, with coefficient given by all the ways of choosing  4  items out of  8 , namely the ways of choosing  4   a 's out of  8  binomial factors.

Step-by-step explanation:

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3 years ago
What is the quotient of 2/3 and 5/6
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DETERMINA EL VOLUMEN DE UN PRISMA PENTAGONAL QUE TIENE LAS SIGUIENTES MEDIDAS: LADO 6.1 CM, APOTEMA 4.5, ALTURA 12.5CM DEL PRISM
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Answer:

837.23 cm³

Step-by-step explanation:

La fórmula para el volumen de un prisma pentagonal se da como:

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a = Apotema

h = altura

De la pregunta anterior:

s = largo de lado = 6.1 cm

a = Apotema = 4.5 cm

h = Altura = 12.5 cm

Por lo tanto:

El volumen del prisma pentagonal =

1/2 (5 × 6.1 × 4.5) × 12.5

= 1/2 × 137.25 × 12.5

= 837.225 cm³

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4 0
2 years ago
Gary’s playing the role of the Greek god Zeus in a school play he carries a lightning bolt cut from plywood its dimensions are s
photoshop1234 [79]

As the figure is not attached, I have attached the figure using the link- https://cdn.ple.platoweb.com/EdAssets/6764fbd04e1f4014be049f2831fd4e8c?ts=635356393812430000

Answer:

Area is 30 square inches.

Step-by-step explanation:

Given:

The wooden cutout of the lightning bolt consists of 2 right angled triangles with the legs being 10 inches and 3 inches.

The area of this lightning bolt will be equal to the sum of the areas of the two right angled triangles.

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Now, the two right angled triangles are congruent. So, total area is twice the area of one of the triangle.

Therefore, total area of the lightning bolt is 2\times 15 = 30 in².

3 0
3 years ago
Read 2 more answers
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