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Answer:

the Answer is C

Step-by-step explanation:

The metal needs to be 16/3 mg in weight to get the required alloy.

We can use the third equation,

(a(0.38) + 5(1.00))/(a+5) = 68/100

to solve the problem.

A percentage is a ratio where a number is shown as a fraction with respect to 100 parts of it. To remove the percentage sign we divide the number by 100.

We are asked to mix a certain quantity of metal in mg containing 38 percent of nickel to 5 mg of pure nickel such that the new alloy contains 68 percent of nickel.

Let the quantity of metal taken to be 'a' mg.

∴ Nickel provided by the metal is 38% of a,

or, (38/100)*a

or, a(0.38)

We took 5 mg of pure nickel so it is 100 percent pure,

∴ Nickel in the alloy from pure nickel = 100% of 5

or, (100/100)*5

or, 5(1.00)

Total weight of the alloy = a + 5

Total nickel in the alloy = a(0.38) + 5(1.00)

We are said that the alloy constitutes 68 percent of nickel,

∴ (a(0.38) + 5(1.00))/(a+5) = 68%

or, (a(0.38) + 5(1.00))/(a+5) = 68/100

This is the equation needed to find the quantity of metal used to make the alloy. It is the same as option 3.

On solving the equation we get that the required quantity of the metal is 16/3 mg.

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Answer:

30%?

Step-by-step explanation:

6 boys, 5 girls

first selection is a 6/11 chance it's a boy.

second seletion is a 6/11 chance it's a boy.

6/11 times 6/11 is... 0.2975 or about a 30% chance ( i think)

Just multiply the probability of the first event by the second. For example, if the probability of event A is 2/9 and the probability of event B is 3/9 then the probability of both events happening at the same time is (2/9)*(3/9) = 6/81 = 2/27.

Answer:

816 liters

Step-by-step explanation:

Hope this helps :)

Answer:

6 more students

Step-by-step explanation:

hope this helps

Answer:

jubiau 72t

Step-by-step explanation:

and also tbhe

Answer:

nah am good thanks anyway

Answer:

16 years

Step-by-step explanation:

Break the problem down:

George = 31 + Leo

Leo = Carol - 15

Carol = ?

The problem is asking for the number of years it will take for Carol to be George's current age.

Leo is 15 years younger than Carol which means Carol is 15 years older than Leo.

George is 31 years older than Leo. Carol is older than Leo by 15 years.

This means we have to find the difference between 31 and 15.

31 - 15 = 16

Since the difference between George and Carol's age is 16 years, it will take Carol 16 years to be the same age as George is now.

Answer:

y/x = 8 shows DIRECT variation.

Step-by-step explanation:

y varies directly as x if y = kx for some constant, k.  In other words, y/x is constant.

Answer:

5 people each get 2 bags of ice cream or 2 people each get 5 bags of ice cream..

Step-by-step explanation:

Answer:

Roots are :  1, -7 and -7

Step-by-step explanation:

When we put x = -1 in F(x) it is equal to 0

Thus, (x + 1) is factor of given function.

When we divide F(x) by (x + 1) it gives the value (x² - 6x - 7)

factorizing the work  x² - 6x - 7 by middle term splitting.

> x² - 6x - 7 = x² - 7x + x - 7

>  x(x - 7) + 1(x - 7)

>  (x + 1) (x - 7)

then,  x³ - 5x² - 13x - 7 = (x + 1)(x + 1)(x - 7)

x = -1, -1, 7 the factor.

D and C is the answers.

Step-by-step explanation:

Answer:

B. 48m²

Step-by-step explanation:

The formula for volume is length (base) times width times height, or LWH. If you break the shape into three separate areas, you can figure out the volume for each part and then add it up.

The large part on the bottom is 7m long, 2m across. Since we know the entire shape is 4m tall and the indent is 2m deep, we know that the height for the bottom part will also be 2m. 7 · 2 · 2 = 28.

The block on the left is 2m tall, 2m across, and its width is also 2m as shown by the measurement on the bottom-right. 2 · 2 · 2 = 8.

Finally, the block on the right is 2m tall, 3m across, with a width of 2m. 3 · 2 · 2 = 12. And when you add it all up, 28 + 8 + 12 = 48. Hope this helps! Feel free to ask any questions!

The answers is B

Step-by-step explanation:

EDGE2021

As the number of swimmers increases, the amount of water in the pool tends to decrease.

Thus, option (A) is correct.

Given:

A scatter plot which shows he amount of water in the pool and the number of swimmers.

Now, from the scatter plot it can be seen that

As the number of swimmer increases there is no such change in amount of water.

There is only increase in a amount of water when the number of swimmers were between 60 to 70.

But at last the plot shows that the amount of water decrease.

Therefore, number of swimmers increases, the amount of water decrease.

Thus, option (A) is correct.

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1. 57 is the constant rate of change

2. The ratio for Ms. Bojorquez is 32:28 which simplified is 8:7. The ratio for Ms. William is 104:98 which simplified is 52:49. So they are not equivalent ratios.

3. No, it will take almost 10 minutes.

Hope this helps!!

Answer:

she washed more cars in October

Step-by-step explanation:

in November she washed 17 to 19 cars

in October she washed 22 to 24 cars

22 - 17 = 5 24 - 19 = 5

so she washed 5 more cars in October

plz mark brainliest if this helped you!!

Answer:

36 Calories

Step-by-step explanation:

first find what is added with ONE gram of fat.

do that by dividing

180/20

=9

then multiply by 4

9*4

=36

:)

Answer: (5,7) (5,8)

Step-by-step explanation:

Answer: The 2nd choice

X axis: Between 3 and 6

Y axis: Between 7 and 9

Step-by-step explanation:

Answer:

C. 1/10 errors per word translated

Step-by-step explanation:

According to this graph, we can see that every 100 words-translated, there are about 10 errors (red line). The red line continues at this slope/ratio, and so it would be 10/100 or 1/10 simplified.

The rate of change relative to the scatter plot below will be 1/10 errors per word translated. Option C is correct.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2} \\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

For the given condition, we have to find the rate of change relative to the scatters plot below.

The given graph is in between the total error and the translation error. This graph shows that there are around 10 translation mistakes for every 100 words (red line). Given that the red line continues at this slope and ratio, it would be expressed as 10/100 or 1/10.

Thus, the rate of change relative to the scatter plot below will be 1/10 errors per word translated. Option C is correct.

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Answer:

2

Step-by-step explanation:

Total hours spent is:

[tex]1\frac{1}{2}+ 1\frac{1}{2} +2\frac{1}{2}+ 2\frac{1}{2} = 8[/tex]    (8hrs)

[tex]\frac{8 hours}{4 days} = 2hours/day[/tex]

Answer:

155 cm

rectangle 1: 5x7 = 35

rectangle 2: 8x15 = 120

35 + 120 = 155 cm

Step-by-step explanation:

Answer:

556.2% change

Step-by-step explanation:

Percentage change = (p2-p1)/p1 * 100%

= (58.99 - 8.99) / 8.99 * 100%

= 556.2% change

Mark brainliest if this helped

Mark brainliest if this helped

Answer:

Step-by-step explanation:

Base -- find the radius

radius -- 67.8 (135.6^2 /2)

h=11.2

Volume = 2385.59

2385.60

Answer:

A) The range of donation amounts in the fall was $15

Step-by-step explanation:

It is A because if you do 40 minus 25 it is 15. In the Fall Fund-raiser.

Answer:

hiiiiiiiii

Step-by-step explanation: