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OleMash [197]
3 years ago
13

a number divided by 43 has a quotient of 3 with 28 as the remainder find the number and show all your work question two when div

iding 82 by 43 Linda estimated the quotient to be two examine Linda's work and explain what she needs to do next on the right show how you would solve the problem 80/40=2. 82÷43=2 or
Mathematics
1 answer:
Nady [450]3 years ago
5 0
#2 Linda's estimation of 80÷40=2 was ok. but when she divided, she relized that 43× 2 =86. she cant take away 86 from 82. it should be 1 group of 43. the quoitent is 1 with a remainder of 39








#1 43 × 3 = 129
129 + 28 = 157

157 is the number


hope this helps
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Use completing the square to determine which of the following gives the solutions to 3x2 - 24x + 40 = 28.
jeka94

Answer:

x=4+2\sqrt{3}

x=4-2\sqrt{3}

Step-by-step explanation:

<u>Completing the square</u>

when  ax^2+bx+c=0

Given equation:

3x^2-24x+40=28

Subtract 40 from both sides:

\implies 3x^2-24x=-12

Divide both sides by 3:

\implies x^2-8x=-4

Add the square of half the coefficient of x to both sides:

(\frac{b}{2})^2=(\frac{-8}{2})^2=16

\implies x^2-8x+16=-4+16

Factor the left side and simplify the right side:

\implies (x-4)^2=12

Square root both sides:

\implies x-4=\pm\sqrt{12}

Add 4 to both sides and simplify the radical:

\implies x=4\pm\sqrt{4 \cdot 3}

\implies x=4\pm\sqrt{4}\sqrt{3}

\implies x=4\pm2\sqrt{3}

5 0
1 year ago
A sports store received a shipment of 150 footballs and basketballs. 20% were basketballs. How many footballs were in the shipme
RideAnS [48]
0.20(150) = 30 basketballs were in the shipment. Since the shipment presumably comprised only footballs and basketballs, the remainder of the shipment must consist of footballs.

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2 years ago
BELL RINGER #2
NemiM [27]

Answer:

A. 2 4/5

Step-by-step explanation:

To find how many hours she worked for $210, you must get the amount of money she gets in 1 hour.

Because she charges $43 dollars every hour, and fines a fee of $30 flat, we must add both of the amount to get how many she earns in 1 hour.

So:

$45 + $30= $75

She earn $75 in 1 hour.

Next, divide $210 dollars that she earned for working for hour(s) to the amount of money she earned in 1 hour to find how many hours she worked.

So:

$210 ÷ $75= 2.8 hours

The answer is 2.8 hours

Because the given answers is in fraction, we must change the decimal into a fraction.

To change a decimal into a fraction, you must place the decimal over its place value.

Because 8 in the decimal 2.8 is in the tenths place, you must place it over 10

So:

2.8 into a decimal is 2 8/10

Simplify (only simplify if possible):

Divide 8 and 10 to their GCF which is 2.

So:

8 ÷ 2= 4

10 ÷ 2= 5

So the fraction and the answer is now:

2 4/5

I hope this helps! I'm sorry if it's wrong and too complicated.

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Answer:

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6 is what percent of 96
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