Convert 192 cups to gallons. Enter your answers in the boxes.

Answer:

statements 2 & 5 are true

Step-by-step explanation:

1. False because is a quadratic nonlinear equation

2. True, 4 is the ordered to the origin

3. False, the rate not being linear is not constant

4. False, because when the input is -3 the output is 13

         [tex]y = (-3)^{2} +4=9+4=13[/tex]

5. True, y depends on x

Hope this helps

Answer:

Step-by-step explanation:

Hello:

an equation   for the line is : y =mx +b    (m: is a slope )

perpendicular to the line described by : y = 4/3 x

So : product for two slopes = -1   means : m×4/3=-1

m = -3/4

now : y = -3/4 x+b

but this line :

through the point (4,2) : 2 =(-3/4)(4)+b....... b=5

conclusion :

the equation is : y = -3/4x +5

To find the measure of Angle A, we'll need to use a trigonometric function.

Remember: SOH-CAH-TOA

Looking from Angle A, we know the opposite side and the hypotenuse. Therefore, we should use the sine function.

sin(A) = 9 / 18

---To solve for A, you'll need to use the inverse sin function on your calculator. It should look like so: sin^-1()

The inverse sin of 1/2 = 30

Answer: first option, 30 degrees

Hope this helps!

Step-by-step explanation:

PROBLEM 19

(side 1)² + (side 2)² = (hypo)²

56² + (side 2)² = 61²

3136 + (side 2)² = 3721

(side 2)² = 3721 - 3136

(side 2)² = 585

side 2 = root 585

side 2 = 24.1867732449

side 2 = 24.2cm

E. Parallelogram

reason

opposite sides are parallel

Answer:

it will take approximately 6.32 annum(years) to reach $40000

Step-by-step explanation:

9.5% of $25000 = $2375

$40000 - $25000 = $15000 so you need to make an interest of $15000 overall to reach $40000

since you make $2375 each year therefore

$15000 ÷ $2375 will give you the number of years to reach $40000

hence 15000 ÷ 2375 = 6.315

approximately = 6.32 annum(years)

Answer:

12,39,21,18,24,17,12,25

Step-by-step explanation:

Answer:

582.6

Step-by-step explanation:

2/3 x 874 = 582.6

Answer:

Step-by-step explanation:

15 bags for $20 can be represented with 15/20
so x bags for $4 can be represented with x/4

now if you proportion it out (ricochet), 4x15 is 60, 60 divided by 20 is 3, so you can buy 3 bags of potatoes with $4.

OR

you could do 15/20 is 0.75

0.75 times 4 is 3, so $4 can buy you 3 bags.

Answer:

Step-by-step explanation:

Remark

This is a proportion problem. It assumes that if you know 3 of the four parts of a 2 ratio proportion, you can solve for the 4th one.

Givens

number of bags = 15

Cost = 20

Different cost = 4

number of bags = ?

Formula

Number of bags / Cost = different number of bags/ New Cost

Solution

15/20 = x / 4              Multiply both sides by 4

15*4/20  = x / 4 * 4

60/20 = x

Answer x = 3

That is 4 dollars gets you 3 bags of potatoes

Answer:

15

Step-by-step explanation:

Let the probability of picking an orange = P(O), and the probability of picking a strawberry = P(S),

Based on the question, he picked an orange first and the probability of picking that is

P(O) = 12/50

Then he picked a strawberry on the second pick, the probability of picking the strawberry is P(S) and we'll find that later.

The probability of picking orange then strawberry with replacement is

P(O) × P(S) = 9/125

Substitute the P(O)=12/50,

12/50 × P(S) = 9/125

P(S) = 3/10

Then by finding the number of strawberry candies, we'll just have to multiply P(S) with the total number of candies, i.e.

Number of strawberry candy

= 3/10 × 50

= 15

Step-by-step explanation:

the ratio senior to adult tickets on the first night :

45/92

the ratio on the second night :

26/45

which ratio is higher ? that means we have to determine which fraction is bigger.

the simplest and fastest way to compare them is to bring them to the same denominator (bottom part).

and the simplest way to do that is simply by multiplying the numerator and denominator of each fraction by the denominator of the other fraction :

45/92 × 45/45 = 2025 / 4140

26/45 × 92/92 = 2392 / 4140 (this is therefore bigger)

so, the ratio on the second night is higher.

Answer:

the answer to pt 1 is D. x=1.5 x=0 or x=6

and the answer to part 2 is C. x=1±I√29/5

Step-by-step explanation:

1. The solution of this equation is x = 0 or x = 6 which is option D.

2. The solution of this equation is [tex]x = \dfrac{1 \pm i\sqrt{29}}{5}[/tex] which is option C.

Use the concept of quadratic equation defined as:

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations.

The quadratic equation has the following generic form:

ax² + bx + c = 0

1. The given quadratic equation is,

3x = 0.5x²

Rearranging it,

0.5x² - 3x = 0

Common out x,

x(0.5x - 3) = o

Then we have,

x = 0 or,  

0.5x - 3 = 0

Add 3 on both sides,

0.5x  = 3

Divide both sides by 0.5,

x = 3/0.5

x = 6

Hence the solution of this quadratic equation is,

x = 0 and x = 6 which is option D.

2. The given quadratic equation is:

0 = 5x² - 2x + 6

It can be written as,

5x² - 2x + 6 = 0

Since we know the quadrature formula for ax² + bx + c = 0 is,

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

Here we have,

a = 5

b = -2

c = 6

Substitute values into the formula,

[tex]x = \dfrac{2 \pm \sqrt{4 - 120}}{10}\\\\x = \dfrac{1 \pm i\sqrt{29}}{5} \text{ }\text{ \text{ }} \text{\text{ }\ since } \sqrt{-1} = i[/tex]

Hence, option C is correct.

To learn more about quadratic equations visit:

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The complete question is:

Solve each of the quadratic equations.

PT. 1

3x = 0.5x²

A. x = -6 or x = 0

B. x = -4 or x = 3

C. x = -2 or x = 1.5

D. x = 0 or x = 6

PT.2

0 = 5x² - 2x + 6

A.  [tex]x = \dfrac{1 \pm 3i}{5}[/tex]

B. [tex]x = \dfrac{1 \pm i\sqrt{11}}{5}[/tex]  

C. [tex]x = \dfrac{1 \pm i\sqrt{29}}{5}[/tex]

Answer:

R = 98 degree

Q = 82 degree

T = 98 degree

Answer: a) 10x-6x and c) 12x+2x-10x

Step-by-step explanation:

Lets start by simplifying all the expressions

a) 10x-6x=4x

b)7x+3x=10x

c)12x+2x-10x=14x-10x=4x

d)x-x+2x=2x

As you can see a and c both simplify to 4x meaning that is our answer.

Options A and C

Hope it helps.

Do comment if you have any query.

Answer:

Step-by-step explanation:

12y = 2x + 12

y = 2/12x + 12/12

y = 1/6x + 1

The slope intercept form is y = (1/6)x + 1.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

12y - 2x = 12

The slope intercept form is y = mx + c.

So,

12y - 2x = 12

Add 2x on both sides.

12y = 12 + 2x

12y = 2x + 12

Divide both sides with 12.

y = (2/12)x + (12/12)

y = (1/6)x + 1

Thus,

The slope intercept form is y = (1/6)x + 1.

Learn more about equation of a line here:

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Answer: 5 + 5 = 10

Reason: Imagine that you have 5 pencils in one hand, then you add another 5 pencils into that hand, and you would have 10 pencils. Thus 5 + 5 in this case is 10

Hope that helps!

Answer:

1) f(-6) = 8

2) f(3) = -2

3) f(x) = -5 when x = 4

The amount of mg required per kg for the patient is 2,438.1mg/kg

Proportions are ratios of two integers.

Given the medication with a strength 125mg/5ml which has been ordered at 25 mg/kg.

For a patient that weighs 215lb, the weight in kg will be 97.5224kg

Since 25mg = 1 kg

x = 97.5224kg
x = 25 * 97.5224
x = 2,438.06

Hence the amount of mg required per kg for the patient is 2,438.06mg/kg

Learn more on ratio and proportion here: https://brainly.com/question/19994681

Answer:

If two sides in one triangle are congruent to two sides of a second triangle, and also if the included angles are congruent, then the triangles are congruent. Using labels: If in triangles ABC and DEF, AB = DE, AC = DF, and angle A = angle D, then triangle ABC is congruent to triangle DEF  

Step-by-step explanation:

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Answer:

x = -6          or   x = -2

Step-by-step explanation:

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

Simplify inside the absolute value by distributing

|3x-4x-4|=2

Combine like terms

|-x-4|=2

Now separate into two equations, one positive and one negative

-x-4 = 2   or -x-4 = -2

Add 4 to each side

-x-4+4 = 2+4     or -x-4 = -2+4

-x = 6                  or -x =2

Multiply by -1

x = -6          or   x = -2

Answer:

-5, -1, 4, 10, 13

Step-by-step explanation:

the larger the negative, the smaller the number

Answer:

sqrt(13)

Step-by-step explanation:

Assuming by a2 you mean a squared:

a^2=2b+1

a^2=2(6)+1

a^2=13

a=sqrt(13)

(if by a2 you mean 2*a then a=6.5)

Answer:

Hopefully, this helps you!!

:3

Here's a graph!

Have a great day!!

[tex]Sokkachan[/tex]

Answer:

Point W

Step-by-step explanation:

Answer:

3.692seconds

Step-by-step explanation:

distance s is represented by the following equation s=-16t+224t

given the distance=768ft

replace s by 768 in the equation to find t (time):

768=-16t+224t

768=208t

t=768/208 =48/13 =3.692seconds

Hope this helps :)

[tex]2+8p-3(12-5p)-(2-3p)(4)\\\\=2+8p-36+15p-8+12p\\\\=35p-42[/tex]

Answer:

112

Step-by-step explanation:

4x28=112

Answer:

>

Step-by-step explanation:

This is the greater than symbol. Think of it like an alligator mouth that wants to eat the larger number. 3.2 is larger than -99.

Answer:

3.2 > -99

Step-by-step explanation:

3.2 ? -99

3.2 (positive number)

-99 (negative number)

Positive numbers are always bigger than negative numbers

3.2 ? -99

3.2 > -99

Hope this helps!

Answer:

0.47 pounds

Step-by-step explanation:

Simple subtraction!

Total pounds = pounds of onions + pounds of potatoes + pounds of hamburger

Setting the pounds of onions to [tex]x[/tex] we get:

[tex]6.4 = x + 1.18 + 4.75[/tex]

[tex]x=0.47[/tex]

So we get 0.47 pounds of onions!

Answer:

x+50+4x=90(being complementary angle)

5x+50=90

5x=90_50

5x=40

x=40÷5

x=8

first we add those both numbers, x+4x=5x and we divide it with 40(40÷5) and the solution comes.