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Brums [2.3K]
3 years ago
7

The system of equations is given:

Mathematics
1 answer:
Ainat [17]3 years ago
7 0

Answer:

45

Step-by-step explanation:

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Help! I will mark you the brainest !! ☺️☺️
Marizza181 [45]

Answer:

Part 1)  0.675\%

Part 2) 475\%

Part 3) 8\%

Part 4) \frac{67}{20}

Part 5) 2.65

Step-by-step explanation:

Part 1) Write as a percent 0.00675

we know that

To write a number as a percent, multiply the number by 100

so

0.00675*100=0.675\%

Part 2) Write as a percent 4 3/4

Convert mixed number to an improper fraction

4\frac{3}{4}=\frac{4*4+3}{4}=\frac{19}{4}

we know that

To write a fraction as a percent, multiply the fraction by 100

\frac{19}{4}*100=19*25=475\%

Part 3) Write as a percent 2/25

we know that

To write a fraction as a percent, multiply the fraction by 100

\frac{2}{25}*100=2*4=8\%

Part 4) write as a fraction 335%

we know that

335\%=\frac{335}{100}

Simplify

Divide by 5 both numerator and denominator

\frac{335}{100}=\frac{67}{20}

Part 5) Write as a decimal 265%

we know that

265\%=\frac{265}{100}=2.65

3 0
3 years ago
barb exercises for 22 hours each week. how many hours does she exercise in 14 weeks. use the array drawn on the grid go help mul
PSYCHO15rus [73]

Answer:

308 hours

Step-by-step explanation:

22 x 13

8 0
3 years ago
Someone plz help me!!! I will give brainliest
Nastasia [14]

Answer:

Step-by-step explanation:

the 2nd one

4 0
3 years ago
Read 2 more answers
At a basketball game, an air cannon launches T-shirts into the crowd. The function y=−1/8x^2 + 4x represents the path of a T-shi
Juliette [100K]

Answer:

The T-shirt lands in the bleachers at a height of 14 feet.

Step-by-step explanation:

The point where they meet is the solution of the simultaneous system of equations:

y = -\frac{1}{8}x^2+4x...........................................(1)

3y = 2x - 14..............................................(2)

From (2),

y = \frac{2}{3}x-\frac{14}{3}.................................................(3)

Substituting (3) in (1),

\frac{2}{3}x-\frac{14}{3} =  -\frac{1}{8}x^2+4x

Multiply through by 24 (the LCM of 3 and 8, the denominators of the fractions)

(24\times\frac{2}{3}x)-(24\times\frac{14}{3}) =  (-24\times \frac{1}{8}x^2)+(24\times4x)

16x - 112 = -3x^2+96x

3x^2-80x -112 = 0

(x-28)(3x+4) = 0

x-28 = 0                 OR        3x+4=0

x=28                       OR        x = -\frac{4}{3}

The value of <em>y</em> represents the height.

Substituting for <em>x</em> in (3)

y = \frac{2}{3}\times28-\frac{14}{3} = \frac{56}{3} - \frac{14}{3} = 14

y = \frac{2}{3}\times(-\frac{4}{3})-\frac{14}{3} = -\frac{8}{9} - \frac{14}{3} = -\frac{50}{9}

We discard the negative answer.

Hence, the T-shirt lands in the bleachers at a height of 14 feet.

6 0
3 years ago
Solve the equation <img src="https://tex.z-dn.net/?f=8x%5E2%3D-36" id="TexFormula1" title="8x^2=-36" alt="8x^2=-36" align="absmi
chubhunter [2.5K]

Answer: 4(2x²+9) or i\frac{3\sqrt{2} }{2}

Step-by-step explanation:

To solve the equation by factoring, we want to set the equation to zero. In order to have the equation equal to zero, we want to add both sides by 36.

8x²=-36            [add both sides by 36]

8x²+36=0

When it comes to factoring, we want to pull out numbers or variables that are common in each term.

8x²+36=0         [take out a 4 in each term]

4(2x²+9)=0

It may seem that 2x²+9 can be factored further, it actually can't. This tells us that the factored form of the equation is 4(2x²+9)=0.

To solve the equation, we want to find the value of x. We already know the graph does not cross the x-axis because the y-intercept or vertex is (0,9).

4(2x²+9)=0       [divide both sides by 4]

2x²+9=0            [subtract both sides by 9]

2x²=-9               [divide both sides by 2]

x²=-9/2              [square root both sides]

x=\sqrt{-\frac{9}{2} } or x=i\frac{3\sqrt{2} }{2}

6 0
3 years ago
Read 2 more answers
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