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Kazeer [188]
2 years ago
15

The pitchers that Isaac bought for the party each hold 2 quarts of liquid. If he makes 15 pints of smoothie and has three pitche

rs, how much of the smoothie will not fit into the pitchers?
quart and pint
Mathematics
1 answer:
Rom4ik [11]2 years ago
6 0

Answer:

3 pints or 1.5 quarts

Step-by-step explanation:

1 quart has 2 pints, so each pitcher holds 4 pints -- 12 pints all together. So 15-12 = 3 pints that will not fit into the pitchers. 3 pints is equal to 1.5 quarts!

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<em>Convert percentage to fraction by dividing by 100</em>
16 2/3 = 16 2/3 ÷ 100 = 1/6

16 2/3 % of 96 = 1/6 x 96 = 16

<span>Ans: 16 2/3 % of 96 lamps = 16</span>
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3 years ago
I need help with these three
Ludmilka [50]
A. The relationship of <7 and <8 are that they are vertical angles, and are congruent.

B. Since vertical angles are congruent, you can form an equation where the two measurements equal each other. 

C. 5y-29=3y+19       then plug y into your equation: 5*24-29=91
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Your second problem: 
complementary are two angles that add up to 90 degrees.
<B=x, <A=2x
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3x=90
x=30       so: <B=30 degrees, <A=60 degrees

Your third problem:
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3 years ago
Read 2 more answers
You purchase a stereo system for $830. The value of the stereo system decreases 13% each year. a. Write an exponential decay mod
lorasvet [3.4K]

Answer:

a. y=830*(0.87)^x

b. The value of stereo system after 2 years will be $628.23.

c. After approximately 4.98 years the stereo will be worth half the original value.

Step-by-step explanation:

Let x be the number of years.

We have been given that you purchased a stereo system for $830. The value of the stereo system decreases 13% each year.

a. Since we know that an exponential function is in form: y=a*b^x, where,

a = Initial value,

b = For decay b is in form (1-r), where r is rate in decimal form.

Let us convert our given rate in decimal form.

13\%=\frac{13}{100}=0.13

Upon substituting our given values in exponential decay function we will get

y=830*(1-0.13)^x

y=830*(0.87)^x

Therefore, the exponential model y=830*(0.87)^x represents the value of the stereo system in terms of the number of years since the purchase.

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y=830*(0.87)^2

y=830*0.7569

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Let us substitute y=415 in our model to find the time it will take the stereo to be worth half the original value.

415=830*(0.87)^x

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\frac{415}{830}=\frac{830*(0.87)^x}{830}

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Let us take natural log of both sides of our equation.

ln(0.5)=ln(0.87^x)

Using natural log property ln(a^b)=b*ln(a) we will get,

ln(0.5)=x*ln(0.87)

\frac{ln(0.5)}{ln(0.87)}=\frac{x*ln(0.87)}{ln(0.87)}

\frac{ln(0.5)}{ln(0.87)}=x

\frac{-0.6931471805599}{-0.139262067}=x

x=4.977286\approx 4.98

Therefore, after approximately 4.98 years the stereo will be worth half the original value.

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