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3 years ago

Tyra bought 4.5 pounds of strawberries. They cost $2.60 a pound. How much did she spend?

Mathematics

1 answer:

harina [27]3 years ago

3 0

She spent $10.40 total on strawberry’s

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4 _ compared to 0.45 9

malfutka [58]

Answer:

Step-by-step explanation:

$\dfrac{4}{9}=0.\overline{4}$

The tenths-place digits of the two numbers are the same, 4. So comparison proceeds to the hundredths place. The digit in the hundredths place of 0.4444... is 4, which is less than the digit in the hundredths place of 0.45, which is 5. Hence 4/9 < 0.45.

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3 years ago

1/2 of 3oz + 3/4 of 3oz + 13 of 2oz, how many ounces of food was consumed

Salsk061 [2.6K]

29.75 ounces including PEMDAS :)

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2 years ago

Find the midpoint between A and B, given that A=(-1,5) and B=(-3,-7)

Kamila [148]

Hello here is a solution :
 midpoint between A and B,is :C( (Xa+xb)/2; (ya+yb)/2)
C( (-1-3)/2;(5-7)/2)
C(-2 ; -1)

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3 years ago

The spherical balloon is inflated at the rate of 10 m³/sec. Find the rate at which the surface area is increasing when the radiu

rjkz [21]

The balloon has a volume $V$ dependent on its radius $r$ :

$V(r)=\dfrac43\pi r^3$

Differentiating with respect to time $t$ gives

$\dfrac{\mathrm dV}{\mathrm dt}=4\pi r^2\dfrac{\mathrm dr}{\mathrm dt}$

If the volume is increasing at a rate of 10 cubic m/s, then at the moment the radius is 3 m, it is increasing at a rate of

$10\dfrac{\mathrm m^3}{\mathrm s}=4\pi (3\,\mathrm m)^2\dfrac{\mathrm dr}{\mathrm dt}\implies\dfrac{\mathrm dr}{\mathrm dt}=\dfrac5{18\pi}\dfrac{\rm m}{\rm s}$

The surface area of the balloon is

$S(r)=4\pi r^2$

and differentiating gives

$\dfrac{\mathrm dS}{\mathrm dt}=8\pi r\dfrac{\mathrm dr}{\mathrm dt}$

so that at the moment the radius is 3 m, its area is increasing at a rate of

$\dfrac{\mathrm dS}{\mathrm dt}=8\pi(3\,\mathrm m)\left(\dfrac5{18\pi}\dfrac{\rm m}{\rm s}\right)=\dfrac{20}3\dfrac{\mathrm m^2}{\rm s}$

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2 years ago

What is the difference between certain and impossible?.

kaheart [24]

Certain events have a 100% probability of occurring, and impossible events have a 0% chance of occurring.

Theoretical probability is based on a mathematical estimate, whereas experimental probability is a probability determined based off of an experiment.

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2 years ago