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Paul [167]
2 years ago
7

Mr. Rosenberger asked his students to use the distributive property to rewrite the expression 18(24) by using friendlier numbers

.
The table below shows the expressions that four students created.
Expressions Created by Students
Student
Expression
Aaron
10+8x4+20
Brian
10+8(4+20)
Cece
18(4+6)
Diana
18(4+20)
Which student's expression is equivalent to 18(24)?
Aaron
Brian
Cece
Diana

Mathematics
2 answers:
Helen [10]2 years ago
8 0

Answer:

<h2>Diana shows the right expression.</h2>

Step-by-step explanation:

We know that 18(24) = 432. So the student that deduct this answer is the correct one.

From the table, we can observe that Diana did the best rewrite process, because it's equal to 18(24), her expression is 18(20+4), which it's a rewrite using distributive property which was ask. Other students didn't use the property correctly.

Therefore, Diana shows the right use of the property, and her expression is equivalent.

likoan [24]2 years ago
4 0

Answer:

d.) diana

Step-by-step explanation:

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Answer:

The distance between two cities is <em>60 miles.</em>

Step-by-step explanation:

Time taken to travel from B to A = 2 hours

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Let the speed of ferry in still water = <em>u</em> mph

When the ferry moves with the current, it will taken lesser time (i.e. A to B) and when it moves against the current it will take more time (i.e. B to A).

Let the distance between the two cities A and B = D miles

While moving with the current, speed = (u+5)\ mph

While moving against the current, speed = (u-5)\ mph

Formula for Distance = Speed \times Time

Distance traveled in each case is same i.e. D.

So,

D = (u+5) \times 1.5 = (u-5) \times 2\\\Rightarrow 1.5u+7.5=2u-10\\\Rightarrow 0.5u =17.5\\\Rightarrow u = \dfrac{175}{5}\\\Rightarrow u = 35 \ mph

Now,

D = (u+5) \times 1.5\\\Rightarrow D =(35+5) \times 1.5\\\Rightarrow D =(40) \times 1.5\\\Rightarrow \bold{D =60\ miles}

So, the distance between two cities is <em>60 miles.</em>

6 0
2 years ago
If AB = 13, BC = 9, and CA = 17, list the angles of ABC in order from smallest to largest.
svp [43]

Across the largest side is going to be largest angle, and across the smallest side -smallest angle.

Sides:

BC = 9 < AB = 13 < CA = 17.

Angles that are across sides: A < C < B.


Answer is d- A C B.

4 0
2 years ago
A person invests 9500 dollars in a bank. The bank pays 5.75% interest compounded quarterly. To the nearest tenth of a year, how
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Answer:

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Step-by-step explanation:

Future value is the sum of amount invested and its compounded interest for a specific period of time and on a specific interest rate.

Investment = Present value = $9,500

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To find the numbers of years we will use following formula

Future value = Present value x ( 1 + r )^n

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n = number of periods = ?

Placing values in the formula

$12,600 = $9,500 x ( 1 + 5.75%/4 )^n

$12,600 / $9,500 = 1.014375^n

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Log 1.3263 = n log 1.014375

n = Log 1.3263 / log 1.014375

n = 19.7856 Quarters

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2 years ago
martin uses 5/8 of a gallon of paint to cover 4/5 of a wall. what is the unit rate at which martin paints in walls per gallon?
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cestrela7 [59]

Answer:

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Since, the maximum amount she can spend on downloading songs is $20.

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7 0
2 years ago
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