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3 years ago

Answer number 2 for me plz and thank you

Mathematics

2 answers:

Lostsunrise [7]3 years ago

5 0

In the simplest terms it should be 2:3 (2 boys to 3 girls) But it looks like there should be more to this question

anyanavicka [17]3 years ago

3 0

The answer to the question is 2:3

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30 PTS!!!!! Cole needs to include at least 11 mg and at most 22 mg of iron in his diet each day. Cole plans to eat multiple ba

ser-zykov [4K]

Answer:

See explanation

Step-by-step explanation:

<u>Part A:</u> If Cole eats 3 bananas each day. These 3 bananas contain $3\cdot 0.3=0.9$ mg of iron.

Let x be the number of vitamins Cole takes. Each whole vitamin contains 4 mg of iron, then x vitamins contain 4x mg of iron.

The total amount of iron Cole takes is

$0.9+4x\ mg$

Cole needs to include at least 11 mg and at most 22 mg of iron in his diet each day, so

$11\le 0.9+4x\le 22$

Solve it:

$11-0.9\le 4x\le 22-0.9\\ \\10.1\le 4x\le 21.1\\ \\2.525\le x\le 5.275$

The smallest number of vitamins - 3, the greatest number of vitamins - 5.

<u>Part B: </u>Cole continues to eat 3 bananas each day. He pays $\$2\cdot 7=\$14$ for bananas per week.

If Cole spends a total of $20 on bananas and vitamins this week, then he spent $20 - $14 = $6 on vitamins.

Let x be the number of vitamins Cole takes this week.

First 10 vitamins are free, then x - 10 vitamins each cost $0.50 (he pays an additional dollar for every 2 additional vitamins he purchases) and they cost

$\$0.50(x-10)$

This amount of money is exactly $6, so

$0.50(x-10)=6\\ \\5(x-10)=60\\ \\x-10=12\\ \\x=22$

This means Cole takes 3 vitamins per day (the whole number) and he is able to meet his iron requirement every day this week, based on answer in Part A.

5 0

3 years ago

Read 2 more answers

I really need this help

IRISSAK [1]

Answer:

area: 454.2 sq.cm

perimeter: 77.7 cm

Step-by-step explanation:

to find area, find the area of all the separate shapes and add them together:

semi-circle:

radius is 12 cm

area = $\frac{\pi (12)^2\\}{2}$ = 226.2 sq.cm

separate the trapezoid into two right triangles and a rectangle.

area for triangles:

$\frac{1}{2}$ (5)(12) = 30

30 x 2 = 60 sq.cm (since there are two triangles)

area for rectangle:

12 x 14 = 168 sq.cm

area of whole shape: 226.2 + 60 + 168 = 454.2 sq.cm

for perimeter, just add the length of the exterior sides together.

we have some unknown sides, such as the semicircle and the sides of the trapezoid

we can find the hypotenuse of the triangles we used earlier to find the sides of the trapezoid with pythagorean theorem

$5^2 + 12^2 = c^2$

$25 + 144 = c^2$

$169 = c^2$

$\sqrt{169} =\sqrt{c^2}$

c = 13 cm

to find the outside perimeter of the semi-circle, solve as if you were finding the circumference of a normal circle and divide it in half

$\frac{2\pi12}{2}$ = 37.7 cm

now add it all up:

14 + 13 + 13 +37.7 = 77.7

3 0

3 years ago

Which equation has a graph that is a parabola with a vertex at (–2, 0)?

MaRussiya [10]

Answer:

The vertex of a quadratic equation corresponds to the point where the maximum or minimum value is located.

If the function has a positive leading coefficient, the vertex corresponds to the minimum value.

If it has a negative leading coefficient, the vertex corresponds to the maximum valuevalue

If the vertex is located at

(–2, 0)

The possibilities are

y = (x-2)^2

or,

y = - (x-2)^2

Since the problem tells us the answer, we adopt the positive values

Answer:

y = (x-2)^2

See attached picture

6 0

3 years ago

Read 2 more answers

A DNA sequence can be represented as a string of the letters ACTG (short for adenine, cytosine, guanine, and thymine). How many

maria [59]

To solve that question we can think by the following way:

The first letter can be any of the letters (A, C, T or G). Therefore there are 4 possibilites.
To choose the second letter of the sequence, any letter also can be chose. So, one more time, there are 4 possibilites.

Using the fundamental principle of counting, we will find out that can be formed $4\times 4 = 16$ differents sequences (for example, AA, AG, TT, TG, CT...).

Know we know that, we can generalize. If I have $n$ elements and I must choose one of them $t$ times to do a sequence, the total number of sequence that I can form will be $n^t$ .

In our question, we want to know how many DNA sequence are exactly 29 letters long. As indicated above, the answer for that is $4\times 4\times 4\times ... \times 4$ (29 times) $= 4^{29}$ .

Therefore, there are $4^{29}$ DNA sequences with exactly 29 letters long.

I hope I've helped you. =D

Enjoy your studies. \o/

8 0

3 years ago

When is the difference of two decimals an integer?

Nikitich [7]

When the numbers after the decimal are the same. like 4.3090-3.3090. in this case, all the numbers after the decimal are the same, so the answer is going to be a whole number

8 0

3 years ago