30 POINTS


The equation h= -161 + 56t models the height h, in feet, of a golf ball t seconds after it was hit. Find the values of t for which h = 0. Explain the meaning of the solutions.

Answer:

-6xy

Step-by-step explanation:

(2x-y)x(x-2y)-(x+2y)X(2x-y)

remove the parentheses

2x^2-4xy+xy-2y^2-(2x^2-xy+4xy-2y^2)

collect terms

2x^2-4xy+xy-2y^2-(2x^2+3xy-2y^2)

remove the parentheses

2x^2-4xy+xy-2y^2-2x^2-3xy+2y^2

remove the opposites, collect the terms to get -6xy

Answer: it would be the "=" sign

Step-by-step explanation: this is because 2/3 and 6/9 are equivalent fractions. you want to find the greatest common factor between 6 and 9 which is 3. you multiply that by the numerator and denominator. therefore, the symbol that compares these mixed numbers is "=".

Arlo has $25 to spend on a T-shirt and

shorts for gym class. The shorts cost $14.

Use the inequality 14 +1 < 25, where t

represents the cost of the T-shirt. What is

the most Arlo can spend on the T-shirt?

the answer is $11.

Answer: 21 cups of shredded carrots.

Step-by-step explanation:

For every 9 cups of shredded carrots they use, they use 6 cups of sugar.

To use one cup of sugar therefore, the number of cups of shredded carrot is:

= 9/6

= 1.5 cups of shredded carrot

For every 1.5 cups of shredded carrot, a cup of sugar is used.

If they were to use 14 cups of sugar, they would therefore use:

= 14 * 1.5 cups of carrot

= 21 cups of shredded carrot

Answer:

1/5

Step-by-step explanation:

That'll be one brainliest

Answer: 1/5

Step-by-step explanation:

You have to divide the numerator and the denominator by the GCF ( greatest common factor) of 11 and 55. 11 is the GCF of 11 and 55 so 11÷11=1 and 55÷11=5

Hope this helps :)

Answer: They made 6 three point shots.

Step-by-step explanation:

Make your equation

(((6x1)+(27x2)+(3x)=78

Simplify

(6+54+3x=78)

60+3x=78

Subtract from both sides

3x=18

Divide from both sides

x=6

The basketball team scored 6 shots worth 3 points.

The number of baskets the players made that were worth 3 points each is 6 and the equation used for this is, total score = The number of 1-point baskets × 1 + The number of 2-point baskets × 2 + The number of 3-point baskets × 3.

A formula known as an equation uses the equals sign to denote the equality of two expressions.

Given:

Total scored by the team = 78 points,

The number of 1-point baskets = 6,

The number of 2-point baskets = 27,

If b is the number of 3-point baskets, the equation can be given as,

Total score = The number of 1-point baskets × 1 + The number of 2-point baskets × 2 + The number of 3-point baskets × 3

78 = 6 × 1 + 27  × 2 + b  ×3

b = 6

Therefore, the number of baskets the players made that were worth 3 points each is 6.

To know more about equation:

https://brainly.com/question/12788590

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Answer:

5

Step-by-step explanation:

The quotient of 149 divided by 33 is 4.51.

The quotient is the number that is generated when we perform division operations on two numbers.

The given fraction is;

[tex]\dfrac{149}{33}[/tex]

The quotient of 149 divided by 33 is given by;

[tex]=\dfrac{149}{33}\\\\= 4.51[/tex]

Hence, the quotient of 149 divided by 33 is 4.51.

Learn more about quotient here;

https://brainly.com/question/21416852

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Answer:

x = 14

<CAD = 42degrees

Step-by-step explanation:

Since all the rays meet at a point, the sum of all the angles at the point will be 360 degrees, since angle at a point is 360degrees

Taking the sum of all the angles and equating to 360, we will have;

<BAC + <DAE + <BAE + <CAD = 360

60+90+12x+3x = 360

150 + 15x = 360

15x = 360 - 150

15x = 210

x = 210//15

x = 14

Get <CAD

Since <CAD = 3x

<CAD = 3(14)

<CAD = 42 degrees

Hence the measure of angle CAD is 42degrees

Answer:

11.5

Step-by-step explanation:

-1*-11.5=11.5

uv= u times v

-1 times -11.5 equals 11.5

Answer:

Two 1/6 pieces

Step-by-step explanation:

Two 1/6 pieces equals 1/3 of the apple

Answer:

D

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan30° = [tex]\frac{\sqrt{3} }{3}[/tex] , then

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{7}[/tex] = [tex]\frac{\sqrt{3} }{3}[/tex] ( cross- multiply )

3x = 7[tex]\sqrt{3}[/tex] ( divide both sides by 3 )

x = [tex]\frac{7\sqrt{3} }{3}[/tex] → D

Answer:

a(4) = 15/4

Step-by-step explanation:

The general formula for a geometric series with common ratio r and first term a(1) is

a(n) = a(1)*r^(n - 1)

and so, if a(1) = 30 and r = 1/2, we have

a(n) = 30*(1/2)^(n - 1)

and the fourth term is then:

a(4) = 30*(1/2)^(4 - 1) = 30/8 = 15/4

supplementary angles = 180°

A : B

17 : 1

170 : 10

Answer:

Step-by-step explanation:

[tex]y^2=10-x^2\\ \\ 0=10-\sqrt{10}^2\\ \\ 0=10-10\\ \\ 0=0\\ \\ (\sqrt{10},\ 0)[/tex]

Answer:

75/100 x 300 = 225

300 - 225 = 75 students

Answer:

i think

-17x^2 +3x

.....

Answer:

Step-by-step explanation:

x + x + 65 °+ 25° = 180° ( being sum of angles of triangle )

2x + 90° = 180°

2x = 90°

x = 45

now

<A = 45°

< B = x + 65° = 45 °+ 65 °= 110°

< C = 25°

Hope it helps :)

Answer:

180

Step-by-step explanation:

24/60=180/300

So, about 180 students prefer basketball out of the whole school.

Answer:

10.61 cm

Step-by-step explanation:

From the question,

The volume of the rectangular piece of metal = Volume of the 45 cylindrical plates.

Volume of a cuboid = 45×volume of a cylinder

lwh = 45×πr²h..................... Equation 1

Where l = length of the rectangular piece of metal, w = width of the rectangular piece of metal, h = height of the rectangular piece of metal, r = radius of the cylindrical plates, h = thickness of the cylindrical plates.

make h the subject of the equation

h = lwh/(45πr²).................... Equation 2

Given: l = 12 cm, w = 18 cm, h = 10 cm. r = 1.2 cm

Constant: π = 3.142.

Substitute these values into equation 2

h = (12×18×10)/(45×3.142×1.2²)

h = 2160/203.60

h = 10.61 cm.

Answer:

1,873,000

Step-by-step explanation:

Answer:Rounded to the nearest thousand is the 4th number. Since the 3 numbers past the 2 is over 500, the rounded number would be 1,873,000.

Step-by-step explanation:Have a great day

Answer:

A

Step-by-step explanation:

To find volume you multiply lwh

Answer:

2400 [tex]$cm^3$[/tex]

Step-by-step explanation:

From the triangle on the left, we can see that height is 15cm and from the triangle on the right, we can see that base is 8cm of the triangle, as both triangles are identical. So the area of the triangle is,

[tex]b = 8 cm\\h = 15cm[/tex]

[tex]A = \frac{1}{2}bh\\= \frac{1}{2}\times8\times15 cm^2\\= 60 cm^2[/tex]

The area of the prism should be the length of the prism times the area of the triangle. So it is [tex]60 cm^2 \times 40 cm = 2400 cm^3[/tex]

Answer:

Step-by-step explanation:

From the table we see that:

If you have t minutes to complete the test then required inequality is:

Answer:

b cause its b

Step-by-step explanation:

Answer:

Step-by-step explanation:

THe guy is correct its B

Answer:

28672

Step-by-step explanation:

4 x 4 x 4 x 4 x 7 x 4 x 4