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Elden [556K]
2 years ago
6

Tara and her friends order a pizza. Tara eats 3 of the 10 slices and pays $4.20 for her share. assuming that Tara had paid at le

ast her fair share, write an inequality for how much the pizza could have cost
Mathematics
1 answer:
Mariulka [41]2 years ago
6 0
$4.20 = 3/10 of pizza
1/10 = $4.20 ÷3
10/10 = [$4.20 ÷3] ×10
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A recipe for brownies calls for 1/8 cup of sugar and the recipe makes 12 brownies what fraction of a cup is in each brownie? THA
denis23 [38]

Answer: \frac{1}{96}

Step-by-step explanation:

(\frac{1}{8})/12

Divide the fraction \frac{1}{8} by 12. This is because we need to split the sugar between 12 brownies, and to split something means to divide it. Use the switch, flip and multiply method.

I inserted an image on how to use this method.

Anyway, to use this method, we need 2 fractions, so instead of 12, we have to use \frac{12}{1}.

\frac{1}{8}/\frac{12}{1}

= \frac{1}{8} × \frac{1}{12}      Multiply the denominators and numerators

= \frac{1}{96}

7 0
3 years ago
A dog has a mass of 19 kg. What is the mass of the dog in
liq [111]

Answer:c. 1.9 × 10⁴ g

Step-by-step explanation:

6 0
3 years ago
A rectangle has an area of 50X5Y5 and a length of 25X3Y which of the following represents the width of a triangle
Rufina [12.5K]

Answer:

2x²y⁴

Step-by-step explanation:

Area = W × L

W = A / L = \frac{50x^5y^5}{25x^3y} = 2x²y⁴

3 0
2 years ago
Read 2 more answers
An oil tank is leaking into a lake at a rate of 0.1 m3/day. The oil slick forms a semicircular disk whose center is at the leak
gregori [183]

Answer:

17.9  m/s

Step-by-step explanation:

Volume of the slick =  0.5 x π r² h--------------------------------- (1)

Where r = radius of slick

           h = thickness of slick, 10⁻⁶m

If 0.5m³ of oil leaked, then the radius of the semicircular slick can be calculated from equation (1)

V  =  0.5 x π r² h

0.5=  0.5 x  π x  r² x 10⁻⁶

r²   =  10⁶/ π

r =     10³/√π

dV/dt =   πrh dr/dt  + 0.5π r² dh/dt----------------------------------- (2)

Asumming the film thickness is constant , equation (2) becomes

dV/dt =   πrh dr/dt-------------------------------- (3)

dV/dt = 0.1m³/day

r=  10³/√π

dr/dt= rate of expansion of the slick

Substituting  into (3);

0.1 =  π x 10³/√π x 10⁻⁶ x dr/dt

dr/dt = 0.1  x 10⁶/ ( π x 10³/√π)

       =  17.9479 m/s

       ≅  17.9  m/s

8 0
3 years ago
Calculate the rate of change from the graph below
qaws [65]

Answer:

The rate of change is 0.75 gallons per minute

Step-by-step explanation:

The rate of change of the linear relation is represented by the slope of the line which represents this relation

The rule of the slope of a line is

m = Δy/Δx, where

  • Δy is the vertical change
  • Δx is the horizontal change

From the given graph

∵ The line passes through points (0, 0) and (4, 3)

∴ Δx = 4 - 0 = 4

∴ Δy = 3 - 0 = 3

→ Use the rule of the slope above to find the slope of the line

∴ m = \frac{3}{4} = 0.75

∵ The x-axis represents the time in minutes

∵ The y-axis represents the amount in gallons

∵ m represents the rate of change

∴ The rate of change = 0.75 gallons per minute

7 0
3 years ago
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