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2 years ago

Suppose that the height of the slide is 2 feet,

Mathematics

2 answers:

krok68 [10]2 years ago

8 0

Answer:

-3.9

Just got done with edge

Lena [83]2 years ago

5 0

$\bf \stackrel{\textit{average rate of change}}{slope = m\implies} \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{\stackrel{height}{2}}{\stackrel{width}{20}}\implies \cfrac{1}{10}$

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A prescription calls for the following: Sodium citrate 5 g Tartar Emetic 0.015 g Cherry syrup ad 120 mL Using a balance with a s

ella [17]

Answer:

measure the volume of cherry syrup solution with Tartar Emetic = 22.5 mL

Hence, the correct quantity of tartar emetic to fill the prescription will be obtained

Step-by-step explanation:

Given:

Mass of Sodium citrate = 5 g

Mass of Tartar Emetic = 0.015 g = 15 mg

Volume of Cherry syrup ad 120 mL = 120 mL

sensitivity = 4 mg

Error = 5%

Now,

The smallest weight that can be measured = $\frac{\textup{Sensitivity}}{\textup{Error}}\times100$

The smallest weight that can be measured = $\frac{\textup{4}}{\textup{5}}\times100$ = 80 mg

Now,

80 mg is dissolved in 120 mL of Cherry syrup according to prescription

( Thus,

1 mg is dissolved in $\frac{120}{80}\ mL$ of Cherry syrup according to prescription )

so to measure 15 mg of Tartar Emetic, measure the volume of cherry syrup

= $15\times\frac{120}{80}\ mL$

= 22.5 mL

Hence, the correct quantity of tartar emetic to fill the prescription will be obtained

8 0

2 years ago

The school cafeteria has 4 rows of tables each row has 22 seats. The school patio has 12 tables. Each table seats 4 students. Ho

o-na [289]

Answer:

Here the answer, dearie.

Step-by-step explanation:

$22 \times 4 = 88 \\ 12 \times 4 = 48 \\ 88 + 48 = 136$

So, 136 people can sit in cafeteria and the patio.

6 0

2 years ago

Alicia drove 265 miles in 5 hours. What is the average rate that she traveled?

Bumek [7]

265/5 = 53/1

53 miles per hour.

*I hope this helped!

5 0

2 years ago

Read 2 more answers

A friend of mine is giving a dinner party. His current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabe

Vlada [557]

Answer:

a) 720, b) 475020, c) 69300, d) 0.146, e) 0.001

Step-by-step explanation:

It is given that my friend has 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet.

If he wants to serve 3 bottles of zinfandel and serving order is important, then the total number of ways is

$10\times 9\times 8=720$

Therefore if he wants to serve 3 bottles of zinfandel and serving order is important, then the total number of ways are 720.

The total number of bottles is

$10+8+11=29$

Combination is defined as

$^nC_r=\frac{n!}{r!(n-r)!}$

where, n is total possible outcomes and r is selected outcomes.

we have to select 6 bottles out of 29. so,

$^{29}C_{6}=475020$

Therefore ff 6 bottles of wine are to be randomly selected from the 29 for serving, then the total number of ways are 475020.

If we want to select 2 bottles of each variety, then total number of ways are

$^{10}C_{2}\times ^{8}C_{2}\times ^{11}C_{2}=69300$

Therefore if 6 bottles are randomly selected with two bottles of each variety, then the total possible ways are 69300.

Probability is defined as

$P=\frac{\text{Total outcomes}}{\text{Favorable outcomes}}$

$\frac{^{10}C_{2}\times ^{8}C_{2}\times ^{11}C_{2}}{^{29}C_{6}}=\frac{69300}{475020}\approx 0.146$

Therefore the probability that two bottles of each variety being chosen is 0.146.

If 6 bottles are randomly selected, then the probability that all of them are the same variety is

$\frac{^{10}C_{6}+^{8}C_{6}+^{11}C_{6}}{^{29}C_{6}}=\frac{700}{475020}\approx 0.001$

Therefore if 6 bottles are randomly selected, then the probability that all of them are the same variety is 0.001.

7 0

2 years ago

Noah is writing an exam for his 8th grade students. The exam is worth 100 points and Noah wants 35 questions on the exam. He pla

MaRussiya [10]

Answer: the system of equations are

x + y = 35

3x + 2y = 100

Step-by-step explanation:

Let x= the number of short answer questions.

Let y= the number of multiple choice questions.

Noah wants 35 questions on the exam. This means that

x + y = 35

He plans to mix short answer questions, worth 3 points, with multiple choice questions worth 2 points. This means that x short answer questions will give 3x points and y multiple choice questions will give 2y points

Since the exam is worth 100 points, then,

3x + 2y = 100 - - - - - - - -1

Substituting x = 35 - y into equation 1, it becomes

3(35 - y) + 2y = 100

105 - 3y + 2y = 100

y = 105 - 100 = 5

x = 35 - y = 35 - 5

x = 30

3 0

2 years ago