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3 years ago

Please help 14 points !!

Mathematics

2 answers:

Marrrta [24]3 years ago

7 0

Answer:

Step-by-step explanation:

saw5 [17]3 years ago

5 0

Answer:

there is no real number solution

Step-by-step explanation:

Given

x² + 6x = - 10

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(3)x + 9 = - 10 + 9

(x + 3)² = - 1 ( take the square root of both sides )

x + 3 = ± $\sqrt{-1}$

there is no real number whose square is - 1

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Answer:

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Step-by-step explanation:

8 times 14 plus 9

8 times 14 = 112 + 9 = 121

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3 years ago

What is a ratio and how do you solve one. give example

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4 years ago

the measure of angle p is Angles P and Q are complementary. the measure of angle Q is (6x+1), and 29 degrees. what is the value

lisabon 2012 [21]

Answer:

x = 10

Step-by-step explanation:

Complementary angles mean 90 degree angle.

Angle P + Angle Q = 90°

Angle P ---> 29°

Angle Q --> 6x + 1

Find x

Angle P + Angle Q = 90°

29 + 6x + 1 = 90°

30 + 6x = 90

6x = 90-30

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x = 60/6

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Therefore, the value of x = 10.

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8 0

3 years ago

Ella has 0.5 lbs of sugar. How much water should she add to make the following concentrations? Tell Ella how much syrup she will

olya-2409 [2.1K]

Answer:

1. 20% - add 2 lbs of water to get 2.5 lbs of syrup

2. 25% - add 1.5 lbs of water to get 2 lbs of syrup

3. 1.5% - add 32.833 lbs of water to get 33.333 lbs of syrup

Step-by-step explanation:

Ella has 0.5 lbs of sugar. Let x lbs be the amount of water Ella should add to get the syrup.

1. 20% syrup:

0.5 lbs - 20%

x+0.5 lbs - 100%

Write a proportion:

$\dfrac{0.5}{x+0.5}=\dfrac{20}{100}\\ \\0.5\cdot 100=(x+0.5)\cdot 20\\ \\50=20x+10\\ \\20x=50-10\\ \\20x=40\\ \\x=2\ lbs$

To get 20% syrup Ella should add 2 lbs of water. The total weight of strup is 2.5 lbs.

2. 25% syrup:

0.5 lbs - 25%

x+0.5 lbs - 100%

Write a proportion:

$\dfrac{0.5}{x+0.5}=\dfrac{25}{100}\\ \\0.5\cdot 100=(x+0.5)\cdot 25\\ \\50=25x+12.5\\ \\25x=50-12.5\\ \\25x=37.5\\ \\x=1.5\ lbs$

To get 25% syrup Ella should add 1.5 lbs of water. The total weight of strup is 2 lbs.

3. 1.5% syrup:

0.5 lbs - 1.5%

x+0.5 lbs - 100%

Write a proportion:

$\dfrac{0.5}{x+0.5}=\dfrac{1.5}{100}\\ \\0.5\cdot 100=(x+0.5)\cdot 1.5\\ \\50=1.5x+0.75\\ \\1.5x=50-0.75\\ \\1.5x=49.25\\ \\x=\dfrac{49.25}{1.5}\approx 32.833\ lbs$

To get 1.5% syrup Ella should add 32.833 lbs of water. The total weight of strup is 33.333 lbs.

7 0

3 years ago