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3 years ago

Find the missing number blank divided 4 equal 6

Mathematics

2 answers:

a_sh-v [17]3 years ago

7 0

The missing number would be 24

VARVARA [1.3K]3 years ago

6 0

The answer is 24 because 4 * 6 = 24 so 24 ÷ 4 = 6.

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Match the real-world problem to its constant of proportionality.

irakobra [83]

Answer:

a. $18.36 for 3 pizzas : k = 6.12

b. $4.17 for 3 pounds of bananas . k = 1.39

c. $16.48 for 4 pounds of potatoes . k = 4.12

d. 2 cups of flour to make 24 cookie . k = 12

Step-by-step explanation:

PROPORTIONALITY:

Two quantities x and y are said to proportional to each other

if for x ∝ y , x = y k.

Here, k is called the PROPORTIONALITY CONSTANT.

⇒ $x \propto y \implies k = \frac{x}{y}$

Now, for the given quantities:

a. $18.36 for 3 pizzas [box]

Here, $k = \frac{x}{y} = \frac{18.36}{3} = 6.12$

So, the proportionality constant is 6.12.

b. $4.17 for 3 pounds of bananas [box]

Here, $k = \frac{x}{y} = \frac{4.17}{3} = 1.39$

So, the proportionality constant is 1.39.

c. $16.48 for 4 pounds of potatoes [box]

Here, $k = \frac{x}{y} = \frac{16.48}{4} = 4.12$

So, the proportionality constant is 4.12.

d. 2 cups of flour to make 24 cookies

Here, $k = \frac{x}{y} = \frac{24}{2} = 12$

So, the proportionality constant is 12.

7 0

3 years ago

What two numbers multiply to 15 and add to 6

Katen [24]

Since there are no number that multiply to 155 and add to 6 you must now use the Quadratic Formula.

x=(-b(+/-)√ $b^{2}$ -4ac)
2a

6 0

3 years ago

Read 2 more answers

Adam borrowed $5,600 from the bank. The bank charges 4.2% simple interest each year.

Igoryamba

Answer:

$235.2

Step-by-step explanation:

Given data

Principal= $5,600

Rate= 4.2%

Time= 1 year

The expression for the simple interest is given as

SI= PRT/100

substitute

SI= 5600*4.2*1/100

SI= 23520/100

SI=$235.2

Hence after 1 year he will pay $235.2

4 0

3 years ago

Find the area of an equilateral triangle with a side of 10cm

r-ruslan [8.4K]

Answer:

Since it is an equilateral triangle, all sides are 10cm

Step-by-step explanation:

8 0

3 years ago

The height of a small rise in a roller coaster track is modeled by () = −. + . + . , where x is the distance in feet from a supp

Reika [66]

Answer:

Maximum height is 7 feet

Step-by-step explanation:

Solution:-

- The complete question is as follows:

" The height of a small rise in a roller coaster track is modeled by f(x) = –0.07x^2 + 0.42x + 6.37, where x is the distance in feet from a supported at ground level.

Find the greatest height of the rise "

- To find any turning points ( minimum or maximum ) points of a trajectory expressed as function of independent parameter, we find the critical points of the trajectory where the first derivative of the dependent variable w.rt independent variable is set to zero.

- In our case the height of the roller coaster track (y) is function of the distance (x) from a supported pole at ground level.

f(x) = –0.07x^2 + 0.42x + 6.37

- Now set the first derivative equal to zero, and determine the critical values of x:

0 = -0.14x + 0.42

x = 0.42 / 0.14 = 3 ft

- The critical value for the coaster track is at point 3 feet away from the supported pole at ground level. So the height f(x) at x = 3 ft, would be:

f ( x = 3 ) = max height

max height = –0.07*3^2 + 0.42*3 + 6.37

= 7 ft

5 0

4 years ago