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Sidana [21]
2 years ago
11

What are the solutions of the equation x2 + 5x + 6 = 0? A. −3, 2 B. 6, −1 C. 6, 1 D. −3, −2

Mathematics
1 answer:
natita [175]2 years ago
3 0

Answer:

D. -3,-2

Step-by-step explanation:

Let x^{2} +5x+6=0=(x+2)(x+3)\\, then  x+2=0 or x+3=0, thus x=-2 or x=-3

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Find the median of the following set of data. Round your answer to the nearest hundredth, if necessary.
Usimov [2.4K]

The correct answer is 35.2 because when you arrange them in order from least to greatest, the middle is 35.2




8 0
3 years ago
A collection of nickels and dimes is worth $9.45. If the number of dimes is doubled, the value is
eduard

Answer:

The number of nickels is 45 and the number of dimes is 72.

Step-by-step explanation:

Let

x ----> number of nickels

y ----> number of dimes

Remember that

1\ nickel=\$0.05

1\ dime=\$0.10

so

0.05x+0.10y=9.45 ------> equation A

0.05x+0.10(2y)=16.65

0.05x+0.20y=16.65 ------> equation B

<em>Solve the system by substitution</em>

we have

0.05x+0.10y=9.45 ------> equation A

0.05x+0.20y=16.65 ------> equation B

Multiply both equations by 100 both sides

5x+10y=945 ---->5x=945-10y --> equation C

5x+20y=1,665 ----> equation D

substitute equation C in equation D

(945-10y)+20y=1,665

solve for y

945+10y=1,665

10y=1,665-945

10y=720

y=72\ dimes

Find the value of x

5x=945-10y

5x=945-10(72)

5x=225

x=45\ nickels

<em>Alternative Method</em>

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

the solution is the point (45,72)

therefore

The number of nickels is 45 and the number of dimes is 72.

7 0
3 years ago
Maggie has $40 to buy a new dress and hair accessory for her school dance the dress she wants cost $35.75 the cost of her hair a
jonny [76]

Answer:

Yes Maggie has enough money to purchase the dress and hair accessory.

Step-by-step explanation:

Dress = $35.75

Hair accessory = $2.80

Total amount of money = $40

Does her have enough money?

Total Money in pocket - (Dress cost + hair accessory)

 $40.00 - ($35.75 + 2.80)

  $40.00 - ($36.00 + $3.00)     Round to the nearest dollar

  $40.00 - $39.00 = $1.00

Yes

8 0
2 years ago
Use the number line to find the coordinate of the midpoint of <br> ¯¯¯¯¯<br> J<br> P<br> .
Xelga [282]

jjavzgzygsvsgshhwwjwiwjwjwiwwwiwiwiwkwkwkiw

4 0
1 year ago
Janine is saving money to buy a car. She has a total of $1400 left to save, and she plans to save a certain percentage of $1400
shusha [124]

Answer:

August=$350

September=$560

October=$210

November= $280

Step-by-step explanation:

Total amount left to save $1400.

We calculate the amount save each mount since we are already given the percentages.

For the month of August she saves 25% of $1400, we convert the percentage to equivalent cash

\frac{25}{100}*1400\\=350

for the month of August, she saved $350,

Next For the month of September she saves 40% of $1400, we convert the percentage to equivalent cash

\frac{40}{100}*1400\\=560

for the month of September, she saved $560,

Next For the month of October she saves 15% of $1400, we convert the percentage to equivalent cash

\frac{15}{100}*1400\\=210

for the month of October, she saved $210,

total amount saved by October = $350+$560+$210=$1120

Amount saved by November=1400-1120=$280

5 0
3 years ago
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