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malfutka [58]
4 years ago
8

Joe will need 18 scoops of dried lentils to have enough for both the lentil barley and the lentil salad.Before conducting some e

xperiments a scientist mixes1/2 gram of substance A with3/4 gram of substance.B If the scientist uses 1/8 gram of the mixture for each experiment, how many experiments can be conducted?
Mathematics
1 answer:
Andrews [41]4 years ago
8 0

Answer:

10 experiments

Step-by-step explanation:

Given:

Amount of substance A = \frac{1}{2}\textrm{ g}

Amount of substance B = \frac{3}{4}\textrm{ g}

Total amount of mixture = \frac{1}{2}\textrm{ g}+\frac{3}{4}\textrm{ g}=\frac{5}{4}\textrm{ g}

Now, amount used for each experiment =  \frac{1}{8}\textrm{ g}

So, number of experiments conducted = \frac{\textrm{Total amount of mixture}}{\textrm{Amount used for each experiment}}=\frac{\frac{5}{4} }{\frac{1}{8} } =\frac{5}{4}\times 8=10

Therefore, the number of experiments conducted are 10.

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Calculate the unit rate for Machine A and Machine B. Determine which is the greater rate.
Damm [24]

Answer:

Machine B

Step-by-step explanation:

Since, Machine A covers \frac{5}{8} square feet in \frac{1}{4} hours,

Rate at which the Machine A is covering = \frac{\frac{5}{8}}{\frac{1}{4}}

                                                                    = \frac{5}{8}\times \frac{4}{1}

                                                                    = 2.5 square feet per hour

Machine B covers \frac{2}{3} square feet in \frac{1}{5} hours,

Rate at which the Machine B is covering = \frac{\frac{2}{3}}{\frac{1}{5}}

                                                                    = \frac{2}{3}\times \frac{5}{1}

                                                                    = \frac{10}{3}

                                                                    = 3.33 square feet per hour

Therefore, Rate of Machine B is greater.

5 0
3 years ago
The center of the circle is (-6,4). the circle passes through the point (-3,5). what is it’s radius?
alex41 [277]

Answer:

r = sqrt[ ( -3 - (-6))^2 + (5-4)^2 ] = sqrt(3^2 + 1^2)= sqrt(10)

Step-by-step explanation:

5 0
3 years ago
¿Cuánto es 50% de 9 000?​
Ganezh [65]
La respuesta es 4500
6 0
4 years ago
Read 2 more answers
1 - {6/7 + (1/10 - 3/8 - 3 }
LenaWriter [7]
677/280 that is the answer
5 0
2 years ago
The point (5, −2) is on the terminal ray of angle θ, which is in standard position. Without evaluating, explain how you would fi
Anni [7]
1. Check the picture attached.

let P, M, N be the points :P(5, -2), M(5, 0), N(0, -2)

ABP is the angle with measure ∅, where BA is the initial ray and BP the terminal ray.

2. m(PNM)=∅ as can be easily checked

In triangle PNM, NP=5, PM=2 and NM=\sqrt{ 5^{2} + 2^{2} }= \sqrt{25+4}= \sqrt{29} units


3. let opp=opposite side, adj=adjecent side, hyp=hypothenuse

sin ∅ = opp/hyp=\frac{2}{\sqrt{29}}

cos ∅ = adj/hyp=\frac{5}{\sqrt{29}}

tan ∅ = opp/adj=2/5

cot ∅ = adj/opp=5/2

sec ∅ = hyp/adj=\frac{\sqrt{29}}{5}

csc ∅ = hyp/opp=\frac{\sqrt{29}}{2}

4 0
4 years ago
Read 2 more answers
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