At a certain game at a school carnival, people won 42 small prizes and 18 large prizes. For every _____ small prizes won, there were _____ large prizes won.

Answer:

find b: since the triangle is right angle triangle apply the Pythagorean theorem

c²+b²=d²

b²=d²-c²

b²=16²-12²

b²=256-144

b²=112

the sum of the angle of the triangle=180

( in top Δ abd ) sin Ф=opp/hyp

sinФ=b/d=4√7/16= √7/4  radian

convert to degrees : √7/4 *180/π= 37.91 almost 38 degrees

find a=?? apply law of cosine

a²= d^2 + c^2 − 2dc cosA

a²=16² + 12²-2(16)(12)cos38

a =√(16² + 12²-2(16)(12)cos38)

(i hope it is right )

Answer:

Step-by-step explanation:

8x + 11 = 12x -1

-4x + 11 = -1

-4x = -12

x = 3

Answer:

x = 2 and x = -1

Step-by-step explanation:

The zeroes of the function are found by setting g(x) equal to 0:

g(x) = (x - 2)(3x + 3) = 0

By the Zero Product Property, in order for this equation to be equal to 0, each of (x - 2) or (3x + 3) or both has to equal 0. So, set each equal:

x - 2 = 0

x = 2

3x + 3 = 0

3x = -3

x = -3/3 = -1

The zeroes are thus x = 2 and x = -1.

~ an aesthetics lover

Answer:

x=2 x=(-1)

Step-by-step:

Solve: (x-2)(3x+3)=0

= x-2=0                   3x+3=0

=x-2(+2)=0(+2)       =3x-3(-3)=0(-3)

=x=2                      =3x=(-3)

                              =3x/3=(-3)/3

                              =x=(-1)

Answer:

m = 1/2

Step-by-step explanation:

Use two points on the line given.

(0 , 2) & (-4 , 0)

You are solving for the slope. The slope formula:

m (slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (-4 , 0)

(x₂ , y₂) = (0 , 2)

Plug in the corresponding numbers to the corresponding variables:

m = (2 - 0)/(0 - (-4))

Simplify:

m = (2)/( 0 - (-4))

m = (2)/(0 + 4)

m = 2/4

Simplify the slope. Divide the common factor 2 from both the numerator and denominator:

m = (2/4)/(2/2) = 1/2

1/2 is your slope.

~

Answer:

0.5

Step-by-step explanation:

the rise is 4 and the run is 8 so it would be 4/8 or 1/2 which would equal 0.5

Answer:

Protons and neutrons each count for one AMU, and the electron counts for zero AMU. So, if the atomic mass of oxygen is 16, that means we have a total of 16 protons and neutrons. 16 total protons and neutrons minus 8 protons leaves us with 8 neutrons.

Step-by-step explanation:

400 meters is standard lap distance for a race track. 2 x 50 meters is lap distance in International pools. A lap of 440 yards is 1/4 mile. So 4 laps/mile.

Answer:

It would take her 5 track practices to run 25 miles because she runs 5 miles each practice. We can divide 25 by 5 which gives us 5. So it would take  5 track practices for Latrell to run 25 miles. Hope this helps.

Step-by-step explanation:

Answer:

A) (3x+6)-x-x

Step-by-step explanation:

Width of the door = (3x + 6) - x - x

Answer:

D: 81

Step-by-step explanation:

3*3=9

9*3=27

27*3=81

Answer:

the answer is 81

Step-by-step explanation:

3×3 3×3

∨    ∨

9   ×   9

     ∨

     81

hope this helped!!! :)

Answer:

Hey!

Your answer is [tex]1\frac{5}{8}[/tex]!

Step-by-step explanation:

Also can be written as 41/8!

HOPE THIS HELPED!

Answer:

I disagree with Frank

Answer:

Disagree

Step-by-step explanation:

Remember to follow the order of PEMDAS.

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction.

In this case, the first step should be to solve for [tex]10^{4}[/tex].

[tex]10^4 = 10 * 10 * 10 * 10 = 10,000[/tex]

Next, multiply by 8:

[tex]10,000 * 8 = 80,000[/tex]

80,000 is your answer, so I disagree.

~

20 - 2t = (1/2)t + 28

- 2.5 = 8

t= - 3.2

Answer:

3n+7=16;n=3

20-2t=

Step-by-step explanation:

I just did it

Answer:

-8.0625

Step-by-step explanation:

Answer:

-8.0625 as the decimal

Answer:

C

Step-by-step explanation:

Y= 4^2 - 5 x 4 + 4 = 0

Answer:

it is rational

Step-by-step explanation:

because our is a finite decimal which can be converted into a fraction

Answer:

15

Step-by-step explanation:

pretty sure bc they are supposed to be the same/ a reflection of each other and 4 times 15 is 60

Answer:

I think it would be 4×n-3 = n+12

Answer:

3<4x=x+12

Step-by-step explanation:

Let the number be x

Let the number be x4×X=4x

Let the number be x4×X=4x3<4x=x+12

Answer:

14 prisms can be accomodated

Their total volume would be 504 in³

Step-by-step explanation:

First, we have to figure out the angle at the vertex.  For that, we need the Law of cosines. c²=a²+b²-2ab*cos(c)

4²=9²+9²-2(9)(9)cos(c)

16=81+81-162cos(c)

16-81-81=-162cos(c)

-142=-162cos(c)

-142/-162=cos(c)

.9=cos(c)

use the inverse

cos^-1(.9)=c

25.8=c

Now that we know c=25.8, we can figure out how many cheese wedges there would be in the circle.

36÷25.8=14

Now we figure out volume.

1/2(9)(4)(2)=36 in³

The total volume would be

14x36=504 in³

Answer:

  5.806 × 10³

Step-by-step explanation:

Put a decimal point to the right of the left-most digit: 5.806. Now multiply by the place value of that digit.

  5.806 × 10³

___

The 5 is in the "thousands" place. Of course a "thousand" is 1000 = 10·10·10 = 10³. The place value multiplier (1000 or 10³) is written using the exponent when we write scientific notation.

Answer:

S = 1

Step-by-step explanation:

If you add a positive 1 to -20, you would get -19

Answer:

S=1

Step-by-step explanation:

Add 20 to both sides:

S+(-20)=-19

+20 +20

S=1

Answer:

False

Step-by-step explanation:

1/3^4=3^4

0.012346≠81

False

Answer:

True

Step-by-step explanation:

The negative power property of exponents says that:

[tex]x^{-n}=\frac{1}{x^n}[/tex]

And vice versa:

[tex]\frac{1}{x^{-n}}=x^n[/tex]

Therefore, since our exponent is negative, we can change it to positive if we put it in the numerator. In other words:

[tex]\frac{1}{3^{-4}}=3^4[/tex]

The statement is true.

Answer:

Step-by-step explanation:

Function to be graphed is,

h(x) = 2(x - 3)²

Function 'h' is a quadratic function.

Since, the coefficient of the leading term (term with the highest power) is positive, parabola will open upwards.

Both the ends of the parabola will be upwards (towards positive infinity).

As x approaches to negative infinity, h(x) approaches to positive infinity.

As x approaches to positive infinity, h(x) approaches to positive infinity.

A) As x approaches negative infinity, h(x) approaches positive infinity.

B ) As x approaches positive infinity, h(x) approaches positive infinity.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Function to be graphed is,

h(x) = 2(x - 3)²

Function 'h' is a quadratic function.

Since the coefficient of the leading term (a term with the highest power) is positive, the parabola will open upwards.

Both the ends of the parabola will be upwards (towards positive infinity).

Therefore As x approaches negative infinity, h(x) approaches to positive infinity. As x approaches positive infinity, h(x) approaches to positive infinity.

To know more about function follow

https://brainly.com/question/25638609

#SPJ5

Answer:

Subtraction Property of Equality to subtract 6 from both sides

Step-by-step explanation:

By subtracting, you cancel out 6 on the left and you move the constant over to 40. 17h = 34

The inverse of a given function y = 1/2x + 8 will be equal to f'(x) = 1/2( x - 8).

The inverse function of a function that undergoes the operation of f. which is denoted by [tex]f^{-1} (x)[/tex].

The given expression is given as

y=1/2x+8

The inverse of the given expression

[tex]f^{-1} (x) = 1 /2(x - 8)[/tex]

Learn more about inverse;

https://brainly.com/question/2272305

Answer:

[tex]x=\frac{s}{q+r}[/tex]

Step-by-step explanation:

1 Factor out the common term x

[tex]x(q+r)=s[/tex]

2 Divide both sides by q+r

[tex]x=\frac{s}{q+r}[/tex]

Answer:

Donna spent 80% on fruit.

Step-by-step explanation:

First, we know that she spent $64 on fruit. We also know that she spent a total of $80. Then, we take 64/80. This gives us 0.8. Move the decimal two to the right and you have the percentage, 80%.

Answer:

d, b , a

Step-by-step explanation:

Diagram on left

As x → + ∞, y → + ∞, as x → - ∞ , y → - ∞ ( as explained in previous question ) d

Top diagram on right

As x → + ∞, y → 0 and x → - ∞ , y → 0

This means that as x increases to the right , y approaches the x- axis (y → 0)

and as x increases to the left, y approaches the x- axis (y → 0 ) b

Lower diagram on right

As x → + ∞, y → + ∞ and as x → - ∞, y approaches the x- axis (y → 0 ) a

Answer:

The correct answer is "B"

Step-by-step explanation:

m=-1/4

Hope this help!

have a nice day!

Answer:

B

Step-by-step explanation:

So we have the equation:

[tex]\frac{3m-3}{5}=\frac{2m-1}{2}[/tex]

First, let's get rid of the fractions. Multiply both sides by the LCM of 5 and 2, which is 10:

[tex]10(\frac{3m-3}{5})=10(\frac{2m-1}{2})[/tex]

On the left, the 10 gets reduced to 2. On the right, the 10 gets reduced to 5. Thus:

[tex]2(3m-3)=5(2m-1)[/tex]

Distribute:

[tex]6m-6=10m-5[/tex]

Subtract 6m from both sides:

[tex]-6=4m-5[/tex]

Add 5 to both sides:

[tex]-1=4m[/tex]

Divide both sides by 4:

[tex]m=-\frac{1}{4}[/tex]

And we're done!

The answer is B.

Step-by-step explanation:

3(x+1)=-2(x-1)-4

3x+3=-2x+2-4

by combining like terms on one side and unlike term by other side

3x+2x=2-4-3

5x= -5

x= -5/5

x=-1