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klio [65]
3 years ago
5

Mrs. Nevin is making a costume for a school play. She needs a piece of fabric that is greater than 1/2 of a yard but less than 5

/8 of a yard. Which length of fabric listed below could she use? 3/8 yard 4/7 yard 3/7 yard 2/4 yard thx so much you guys are underrated
Mathematics
1 answer:
Bumek [7]3 years ago
5 0

Answer:

4/7 yards

Step-by-step explanation:

Given that :

Required fabric is > 1/2 but < 5/8

Let required fabric = x

Then ;

Converting the fractions to decimal :

1/2 = 0.5 ; 5/8 = 0.625

0.5 < x < 0.625

3/8 yards = 0.375 ;

4/7 yards = 0.571

3/7 yards = 0.429

2/4 yards = 0.5

0.5 < 0.571 < 0.625

From the options, only 4/7 yards satisfies the condition :

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A plumber charges a flat fee of $76 to visit a home and examine a clogged drain. The plumber charges an additional $24 per hour
prisoha [69]

Answer:

(a) 12 hours

(b) $220

Step-by-step explanation:

(a) First we plug in $364 for C

C=76+24h

364=76+24h

Subtract 76 from both sides

24h=288

Divide both sides by 24

h=12

She spent 12 hours fixing the drain

(b) First we plug 6 hours in for h

C=76+24(6)

Multiply it out

C=76+144

Add

C=220

It costs $220 for fixing a drain that takes 6 hours

5 0
2 years ago
The graphs below have the same shape. what is the equation of the red graph?
Naily [24]

Answer:

Option D. G(x)=x^{3}-1

Step-by-step explanation:

we have

F(x)=x^{3} -----> the parent function

The vertex of the function F(x) is the origin (0,0)

The vertex of the function G(x) is the point (0,-1)

so

The rule of the translation is equal to

(x,y)------> (x,y-1)

That means ------> The translation is 1 unit down

Applying the rule of the translation to F(x)

F(x)-------> G(x)

G(x)=x^{3}-1

7 0
3 years ago
What is the solution to (x+6)(x+2)=60
Citrus2011 [14]
Distribute to eliminate the parenthesis

x^2 + 2x + 6x + 12 = 60

Combine like terms

x^2 + 8x + 12 = 60

Subtract 60 from both sides

x^2 + 8x - 48 = 0

Factor the equation

(x+12)(x-4)=0
x+12=0
x+4=0

x= -12 and -4
5 0
3 years ago
The circumference of a circle is like the ________ of a figure.
adelina 88 [10]

Answer:

The answer would be 'B. perimeter'.

8 0
3 years ago
Read 2 more answers
CON PROCESOS POR FAVOR
labwork [276]

Answer:

\dfrac{149}{40}

\dfrac{38}{15}

Step-by-step explanation:

(\dfrac{7}{8} + \dfrac{4}{5}) - (\dfrac{9}{20} + \dfrac{-5}{2}) =

= (\dfrac{7}{8} \times \dfrac{5}{5} + \dfrac{4}{5} \times \dfrac{8}{8}) - (\dfrac{9}{20} + \dfrac{-5}{2} \times \dfrac{10}{10})

= (\dfrac{35}{40} + \dfrac{32}{40}) - (\dfrac{9}{20} + \dfrac{-50}{20})

= \dfrac{67}{40} - (-\dfrac{41}{20})

= \dfrac{67}{40} + \dfrac{41}{20} \times \dfrac{2}{2}

= \dfrac{67}{40} + \dfrac{82}{40}

= \dfrac{149}{40}

(-\dfrac{6}{4} + \dfrac{3}{2}) + (\dfrac{6}{5} + \dfrac{4}{3}) =

= (-\dfrac{3}{2} + \dfrac{3}{2})+ (\dfrac{6}{5} \times \dfrac{3}{3} + \dfrac{4}{3} \times \dfrac{5}{5})

= 0 + \dfrac{18}{15} + \dfrac{20}{15}

= \dfrac{38}{15}

4 0
2 years ago
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