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vlada-n [284]
1 year ago
5

Elliott is counting the change from a class fundraiser. He has half as many quarters as nickels, and he has 7 fewer dimes than n

ickels. The total value of coins is $5.90. He wrote the equation 0.10 (7 minus x) + 0.5 (x) + 0.25 (one-half x) = 5.90. Which statements identify Elliott’s errors? Check all that apply.
He should have written the expression for the number of dimes as x – 7.
He should have written the coin values as 5, 10, and 25 and not as 0.5, 0.10, and 0.25.
He should have written the coin value for the nickel as 0.05.
He should have translated the scenario as value of all dimes = value of all nickels and value of all quarters = value of all nickels.
He should have written the expression for number of nickels as 2x.
Mathematics
2 answers:
Akimi4 [234]1 year ago
5 0

Answer: He should have  translated the scenario as value of all dimes = value of all

Step-by-step explanation:

Guest
1 year ago
its only 1 answer tho, the question asks for 2 errors
azamat1 year ago
3 0
He should’ve translated the scenario as value of all dimes= value of all
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The lines y=3x-1 and y=ax+2 are perpendicular if a=___
mezya [45]

Answer:

a = \frac{-1}{3}.

Step-by-step explanation:

The equation of line in the form .

y = mx + c

Where m is the slope and c is the y- intercept .

As given

The lines y=3x-1 and y=ax+2 are perpendicular .

Here 3 is slope for equation of line  y=3x-1 and a is slope for equation of line

y=ax+2 .

Now by using properties of the perpendicular lines property .

When two lines are perpendicular than slope of one line is negative reciprocal of the other line .

Thus

a = \frac{-1}{3}

Therefore a = \frac{-1}{3}.

8 0
1 year ago
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Simplify the function f (x) = one-half (27) Superscript StartFraction 2x Over 3 EndFraction. Then determine the key aspects of t
AleksandrR [38]

Answer:

(See explanation)

Step-by-step explanation:

The function is:

f(x) = \frac{1}{2}\cdot 27 \cdot \frac{2\cdot x}{3}

Its simplified form is presented hereafter:

f(x) = 9\cdot x

The resultant expression is a linear function, first-order polynomial, whose domain and range are the set of the real numbers.

6 0
2 years ago
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The following chart shows a store?s records of coat sales over two years. 2 circle graphs. A circle graph titled 2006. Top coats
Mkey [24]

Answer:

<u>The correct answer is A. 16.5%</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly and to calculate the trend:

                   2006      2007  Trend

Top Coats    297        223       -24.92%

Parkas          210        210         + 0%  

Jackets         213        285        +33.80%

Raincoats      137        259        +89.05

Trench coats 103       127         +23.30%

Total               960     1,104        +15%

2. If the trend shown in these graphs stays constant, what percent of the market will parkas occupy in 2008?

Let's calculate the percent of the market occupied by parkas.

In 2006 = 210/960 = 21.88%

In 2007 = 210/1,104 = 19.02%

In 2008 = 210/1,270 = 16.54% (210 + 0 = 210; 1,104 + 15% = 1,270)

<u>The correct answer is A. 16.5%</u>

7 0
2 years ago
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According to the Rational Root Theorem, the following are potential roots of f(x) = 6x4 + 5x3 – 33x2 – 12x + 20. -5/2,-2, 1, 10/
stiks02 [169]
-5/2 is the answer. I just took the test and got it right.
8 0
1 year ago
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The population of Smalltown in the year 1890 was 6,250. Since then, it has increased at a rate of 3.75% each year. • What was th
Vikki [24]

Answer:

  • year 1915 :   15,689
  • year 1940 :  39,381

t = 137.9 years

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:

A = P (1 + r) t  

Where:

p = original population

r = growing rate (decimal form)

t= years

A = population after t years

Replacing with the values given:

A = 6,250 (1 + 3.75/100)^t

A = 6,250 (1 + 0.0375)^t

A = 6,250 (1.0375)^t

  • So, by the year 1915 :

1915-1890 = 25 years passed (t)

A = 6,250 (1.0375)^25

A = 15,689

  • by the year 1940 :

1940-1890 = 50 years passed (t)

A = 6,250 (1.0375)^50

A = 39,381

  • When will the population reach 1,000,000?. We have to subtitute A=1000000 and solve for t.

1,000,000= 6,250 (1.0375)^t

1,000,000/ 6,250 =(1.0375)^t

160 = 1.0375^t

log 160 = log 1.0375^t

log 160 = (t ) log 1.0375

log160 / log 1.0375= t

t = 137.9 years

8 0
2 years ago
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