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2 years ago

2 ACTIVITY: Estimating a Percents

Mathematics

2 answers:

Anestetic [448]2 years ago

8 0

18 is what percent of 40?
Answer: 45%

meriva2 years ago

7 0

Answer: 45%

Step-by-step explanation:

Converting the word problem into words, we have:

18= x/100*40

Solving for it, we get that x=45.

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So the equation 2x + 4 equals 3x -2

qaws [65]

Answer:

Are you solving for x? If so, x = 6

4 0

3 years ago

For the period 1997-2003, the number of eggs y (in billions) produced in the United States can be modeled by the function y=-0.2

Viktor [21]

Answer:

Part a) The approximate years were 1998 and 2008

Part b) The graph in the attached figure

Step-by-step explanation:

Part a) we have

$y=-0.27x^{2}+3.3x+77$

For $y=80\ billion\ eggs$

Solve the quadratic equation

$80=-0.27x^{2}+3.3x+77$

$0.27x^{2}-3.3x+3=0$

we know that

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$0.27x^{2}-3.3x+3=0$

$a=0.27\\b=-3.3\\c=3$

substitute in the formula

$x=\frac{3.3(+/-)\sqrt{-3.3^{2}-4(0.27)(3)}} {2(0.27)}$

$x=\frac{3.3(+/-)\sqrt{7.65}} {0.54}$

$x=\frac{3.3(+)\sqrt{7.65}} {0.54}=11.23\ years$

$x=\frac{3.3(-)\sqrt{7.65}} {0.54}=0.99\ years$

therefore

The approximate years are

1997+11=2008

1997+1=1998

Part b)

Using a graphing tool

we have

$y=-0.27x^{2}+3.3x+77$

$y=80$

The solution of the system of equations is the intersection point both graphs

The intersection point are (0.99,80) and (11.23,80)

see the attached figure

therefore

The solution part a) is correct

3 0

3 years ago

Eric has 4 bags of marbles and 6 single marbles how many marbles does eric have

matrenka [14]

Eric has 46 total marbles (4*10)+6

6 0

2 years ago

The tank at a gas station contained 400 gallons of gas. A tanker truck that contained 8,100 gallons of gas filled the station's

spin [16.1K]

Answer:

1300

Step-by-step explanation:

Let the amount put in the station's tank = x

4(400 + x) = 8100 - x Remove the brackets

1600 + 4x = 8100 - x Subtract 1600 from both sides

1600 - 1600 + 4x = 8100 - 1600 - x Do the subtraction

4x = 6500 - x Add x to both sides

4x + x = 6500 - x + x

5x = 6500 Divide by 5

5x/5 = 6500/5

x = 1300

1300 gallons were added to the station's tank.

3 0

3 years ago

Read 2 more answers

Use the quadratic formula to solve the equation x^2-7x-6=0

olganol [36]

Answer:

$\frac{7\pm\sqrt{73}} {2}$

Explanation:

We have been given with the quadratic equation $x^2-7x-6=0$

We have general formula to find the roots of a quadratic equation first we find the discriminant with formula

$D=b^{2}-4ac$

and after that to find the variable suppose x we have the formula

$x=\frac{-b\pm\sqrt{D}} {2a}$

And general quadratic equation is

$ax^2+bx+c=0$

On comparing the given quadratic equation with genral quadratic equation we will have values

a=1, b=-7 and c=-6

After substituting these values in the formula we will get

$D=(-7)^2-4(1)(-6)={73}$

After substituting in the formula to find x we will get

$\frac{-(-7)\pm\sqrt{73}} {2}= \frac{7\pm\sqrt{73}} {2}$

4 0

3 years ago

Read 2 more answers