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3 years ago

Dan has 3 ⅔ cups of milk. If he used ¼ of the milk for his breakfast, how much milk does Dan have left?

Mathematics

2 answers:

kvv77 [185]3 years ago

8 0

Answer:3 whole numbers 2/12

Step-by-step explanation:

2/3 x 1/4

3 2/12

riadik2000 [5.3K]3 years ago

6 0

There would be 3 2/12 left.

2/3 x 1/4 = 2/12

Hope this helps!

Sorryyyy :C

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Simplify 8/-3 ÷ -4/9 A. -8 B. -6 C. 6 D. 8

geniusboy [140]

Answer:

C. 6

Step-by-step explanation:

to divide by a fraction multiply by the recirpocal of that fraction.

8/3 ÷ 9/4

reduce the numbers with GCF 4 which equals 2/3 x 9

reduce the numbers with GCF 3 which equals 2x3= 6

4 0

3 years ago

Write an exponential function in the form y=ab^x that goes through points (0,14) and (3,3024).

Dmitrij [34]

Answer:

y = 14 $(6)^{x}$

Step-by-step explanation:

For an exponential function of the form y = a $b^{x}$

Use the given points to find a and b

Using (0, 14 ), then

14 = a $b^{0}$ ( $b^{0}$ = 1 ) , thus

a = 14

y = 14 $b^{x}$

Using (3, 3024 ) , then

3024 = 14 b³ ( divide both sides by 14 )

216 = b³ ( take the cube root of both sides )

b = $\sqrt[3]{216}$ = 6 , thus

y = 14 × $6^{x}$ ← exponential function

5 0

3 years ago

Is 59 rational or irrational explain

saw5 [17]

59 is a rational number
59 is not a irrational number because simply a irrational number is basically
Pi ,E
Or any imperfect squares
A irrational number is a non repeating decimal and has different numbers in each space

8 0

3 years ago

Given GK = XZ and GH = XY, which statement must be true? m∠G > m∠X m∠G < m∠X HG = XZ HK = YZ

Anuta_ua [19.1K]

Answer: B

m<G<m<x

Step-by-step explanation:

Just did it

4 0

3 years ago

Read 2 more answers

Please Elijah and Aubrey have summer jobs Elijah deposits the same amount of money in his account every week the equation is y =

Anika [276]

Answer:

Part a) $y=125x+23$

Part b) The graph of the equation for Aubrey's balance is parallel to the graph of Elijah's balance

Part c) Parallel graphs mean that their slopes are the same and that they deposited the same amount of $125 per week into their account balance during the summer.

Step-by-step explanation:

The correct question is

Elijah and Aubrey have summer jobs. Elijah deposits the same

amount of money in his account every week. The equation y = 125x + 72 represents his bank balance any given week of the summer. Aubrey also deposits the same amount into her account every week. At the end of the third week she has $398. At the end of the sixth week she has $773.

a. Write an equation to represent Aubrey's bank balance any given week of the summer.

b. Would the graph of the equation for Aubrey's balance be parallel to the graph of Elijah's balance? Explain.

c. What do the parallel graphs mean in terms of the situation?

Part a)

Let

x ----> the number of weeks

y ----> represent bank's balance

we know that

Elijah

$y=125x+72$ -----> equation A

Aubrey

we have the points

(3,398) and (6,773)

Find the slope m

$m=(773-398)/(6-3)$

$m=375/3$

$m=125$

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=125$

$point\ (3,398)$

substitute

$y-398=125(x-3)$ ----> equation in point slope form

Convert to slope intercept form

$y=mx+b$

$y-398=125x-375$

$y=125x-375+398$

$y=125x+23$ ----> Aubrey's bank balance

Part b)

Compare the equations

$y=125x+72$ ----> Elija's bank balance

$y=125x+23$ ----> Aubrey's bank balance

Remember that

If two lines are parallel, then their slopes are equal

In this problem the slopes are equal

$m=125\frac{\$}{week}$

therefore

The graph of the equation for Aubrey's balance is parallel to the graph of Elijah's balance

Part c) Parallel graphs mean that their slopes are the same and that they deposited the same amount of $125 per week into their account balance during the summer.

5 0

3 years ago