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Scott is making red icing to decorate gingerbread men for his school's winter bake sale. After experimenting with small amounts of red dye and icing, he finds that 33 drops of red dye mixed with 44 tablespoons of icing looks best. How many drops of red dye should he use for 22 cups of icing?\newlineHint: There are 1616 tablespoons in 11 cup.\newlineWrite your answer as a whole number, decimal, or simplified fraction. Do not round.\newline____ drops

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Multi-step problems with unit conversionsright chevron icon

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Rosie went on a hiking trip. The first day she walked 1818 kilometers. Each day since, she walked 90% 90 \% of what she walked the day before.\newlineWhat is the total distance Rosie has traveled by the end of the 10th  10^{\text {th }} day?\newlineRound your final answer to the nearest kilometer.\newlinekm \mathrm{km}
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Posted 3 months ago

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A monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m 10 \mathrm{~m} . With each swing, she passes through an arc 910 \frac{9}{10} the length of the previous swing.\newlineWhat is the total distance the monkey has traveled when she completes her 25th  25^{\text {th }} swing? Round your final answer to the nearest meter.\newlinem
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SE=σn S E=\frac{\sigma}{\sqrt{n}} \newlineThe given equation relates the standard error, SE S E , of a sample mean to the population standard deviation, σ \sigma , and the size of the sample, n n . Which of the following equations correctly gives the size of the sample in terms of the standard error and the population standard deviation?\newlineChoose 11 answer:\newline(A) n=(σSE)2 n=\left(\frac{\sigma}{S E}\right)^{2} \newline(B) n=σ2SE n=\frac{\sigma^{2}}{S E} \newline(C) n=(σSE) n=\sqrt{\left(\frac{\sigma}{S E}\right)} \newline(D) n=σSE n=\frac{\sqrt{\sigma}}{S E}
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Avery is designing a large rectangular sign. They want the sign to have an area of 2 m2 2 \mathrm{~m}^{2} and a width of 45 m \frac{4}{5} \mathrm{~m} .\newlineHow tall should the sign be?\newlinem
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The bacteria in a Petri dish culture are self-duplicating at a rapid pace.\newlineThe relationship between the elapsed time t t , in minutes, and the number of bacteria, B(t) B(t) , in the Petri dish is modeled by the following function.\newlineB(t)=10⋅2t12 B(t)=10 \cdot 2^{\frac{t}{12}} \newlineHow many bacteria will make up the culture after 120120 minutes?\newlineRound your answer, if necessary, to the nearest hundredth.\newlinebacteria
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A large brine tank containing a solution of salt and water is being diluted with fresh water.\newlineThe relationship between the elapsed time, t t , in hours, after the dilution begins, and the concentration of salt in the tank, S(t) S(t) , in grams per liter (g/l) (\mathrm{g} / \mathrm{l}) , is modeled by the following function.\newlineS(t)=500⋅e−0.25t S(t)=500 \cdot e^{-0.25 t} \newlineWhat will the concentration of salt be after 1010 hours?\newlineRound your answer, if necessary, to the nearest hundredth.\newlineg/11
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After the closing of the mill, the town of Sawyerville experienced a decline in its population.\newlineThe relationship between the elapsed time, t t , in years, since the closing of the mill, and the town's population, P(t) P(t) , is modeled by the following function.\newlineP(t)=12,000⋅2−t15 P(t)=12,000 \cdot 2^{-\frac{t}{15}} \newlineIn how many years will Sawyerville's population be 90009000 ? Round your answer, if necessary, to the nearest hundredth.\newlineyears
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Carlos has taken an initial dose of a prescription medication.\newlineThe relationship between the elapsed time t t , in hours, since he took the first dose, and the amount of medication, M(t) M(t) , in milligrams ( mg \mathrm{mg} ), in his bloodstream is modeled by the following function.\newlineM(t)=20⋅e−0.8t M(t)=20 \cdot e^{-0.8 t} \newlineIn how many hours will Carlos have 1mg 1 \mathrm{mg} of medication remaining in his bloodstream?\newlineRound your answer, if necessary, to the nearest hundredth.\newlinehours
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To take a taxi, it costs $3.00 \$ 3.00 plus an additional $2.00 \$ 2.00 per mile traveled. You spent exactly $20 \$ 20 on a taxi, which includes the $1 \$ 1 tip you left.\newlineHow many miles did you travel?\newlinemiles
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Polygon Y Y is a scaled copy of Polygon X X using a scale factor of 13 \frac{1}{3} .\newlinePolygon Y′ Y^{\prime} 's area is what fraction of Polygon X X 's area?
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