A jar contains n nickels and d dimes. There are 20 coins in the jar, and the total value of the coins is $1.50. How many nickels and how many dimes are in the jar?

The jar contains ___nickels and ___ dimes.

Step-by-step explanation:

6/2 (1+2) = 3(3) = 9.

hope this helps you.

Answer:

9

Step-by-step explanation:

First you need to multiply 6/2 or 3 by the numbers in the ( ) 6/2 x 1 and 6/2 x 2. You will get 3 and 6. 3+6= 9

Answer:

180

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

The perimeter of the square is 48. The Square has 4 sides so 48/4 = 12.

One side of the square is 12. Use [tex]12^{4}[/tex] to calculate the area. [tex]12^{4}[/tex] = 144.

Triangle base = 12 and height = 6. 12 times 6 divided by 2 = 36.

144 + 36 = 180

You only have to apply the theorem of Pythagoras here. Remember the square on the hypotenuse (the longest side) is equal to the sum of the squares on the other two sides :

1. AB is the hypotenuse, so, according to the theorem we can write :

AB² = AC² + CB²

c² = 5² + 4²

c²= 25 + 16

c² = 41

applying the square root of 41 we get :

c ≈ 6.40 rounded to the hundred

The next cases are exactly the same thing so there is no need for explanation :

2.

AB is the hypotenuse here because it is the biggest side clearl :

AB² = AC² + CB²

25² = 15² + b²

Thus

b² = 25² - 15²

we just subtracted 15² on each side of the equation

b² = 625 - 225

b² = 400

applying the square root of 400 we get

b = √400 = 20

So AC = 20

3. The longest side is clearly AB = 60

So

AB² = AC² + CB²

60² = 40² + a²

subtracting 40² on each side of the equation we get :

a² = 60² - 40²

I let you finish this using your calculator and doing exactly like the previous cases

4.

AB is the hypotenuse,

AB² = AC² + CB²

23² = b² + 14²

Subtracting 14² from each side of the equation we get

b² = 23² - 14²

5.

AB is the biggest side :

AB² = AC² + CB²

29² = 23² + a²

We subtract 23² on each sides of the equation :

a² = 29² - 23²

You can finish with your calculator

6.

AB² = AC² + BC²

78² = b² + 30²

subtraction...

b² = 78² - 30²

Good luck :)

Answer:

[tex]y= -\frac76x +1[/tex]; [tex]y= \frac67x -\frac{78}7[/tex]

Step-by-step explanation:

We know from theory that two perpendicular lines have the product of their slope equal to -1. Let's find the second slope:

[tex]\frac67m = -1 \rightarrow m=-\frac76[/tex]

At this point we can just use the slope-point equation to get our first line:

[tex]y-y_0 = m(x-x_0)\\y-(-6) = -\frac76(x-6) \\y+6= -\frac76x +7\\y= -\frac76x +1[/tex]

Now, we know that two parallel lines have the same slope. Time to apply the same point-slope formula, with the original m this time.

[tex]y-(-6) = \frac67(x-6)\\y+6 = \frac67x -\frac{36}7\\y= \frac67x -\frac{36}7 -{\frac{42}7[/tex]

[tex]y= \frac67x -\frac{78}7[/tex]

Answer:

A and D

Step-by-step explanation:

A is 2 times 6 to the 2nd which is just 24 and D is 16 times 9 which is 144 both are prime factors of 144.

A restricted lifestyle is not an advantage of renting.

Option D is the correct answer.

Renting a property has several advantages, such as ease of mobility, fewer responsibilities, and lower initial costs.

We have,

Ease of mobility is an advantage because it is easier for renters to move to a new location since they are not tied down to a specific property.

Fewer responsibilities are another advantage because the landlord is usually responsible for maintaining the property, making repairs, and paying for utilities.

This means that renters do not have to worry about these tasks or expenses.

Lower initial costs are also an advantage because renters do not have to pay for a down payment or closing costs, which can be a significant expense when purchasing a property.

A restricted lifestyle is not an advantage of renting.

This is because renters may be limited in terms of decorating, making changes to the property, or having pets.

Renters may also have to abide by certain rules set by the landlord or property management company.

This can limit their freedom and personalization of the space.

Thus,

A restricted lifestyle is not an advantage of renting.

Learn more about renting here:

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Answer:

A. 5/6

Step-by-step explanation:

Since our denominators match, we can add the numerators.

3 + 7 = 10

So 10/12 the answer but simplified would give 5/6

Answer:

-2

Step-by-step explanation:

Answer:

D, -2

Step-by-step explanation:

Take a look at the number inside the function "f" which is 2. now know that it is a number you are supposed to substitute in the place of x .. therefore : f(2) = 5(2) - 12 = 10 - 12 = -2.

Answer:

θ ≈ 50.1°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{61}{95}[/tex] , then

θ = [tex]cos^{-1}[/tex] ( [tex]\frac{61}{95}[/tex] ) ≈ 50.1° ( to the nearest tenth )

Answer:  They are the same equivalent price, $0.95/liter.

Step-by-step explanation:

Choices:  $3.58 per gallon, or $3.79 for 4 L.

========

We need to convert one of the volumes.  I'll convert gallons to liters.

By definition, 1 gallon = 3.785 liters

Make this into a conversion factor:

We can make it either:

1)   (3.785 liters/gallon), or

2)  (1 gallon/3.785 liters)

Now convert the $3.58/gallon into dollars/liter.  We'll use the second conversion factor so that gallons cancels out when we multiply:

($3.58/gallon)*(1 gallon/3.785 liters) = $0.95/liter.

The grocery store milk must also be converted to a price expressed per 1 liter:

$3.79 for 4 L

= $0.95/liter.

They are the same equivalent price, $0.95/liter.

Answer: line c is perpendicular to line a

Step-by-step explanation:

Parallel lines are two or more lines that lie next to each other

Line C is perpendicular to Line A.

The correct option is 3.

Parallel lines are the lines that do not intersect or meet each other at any point in a plane.

In Mathematics, a perpendicular is defined as a straight line that makes the right angle (90 degrees) with the other line. In other words, if two lines intersect each other at the right angle, then the lines are perpendicular to each other.

Given, three lines A, B and C.

Line A moves to the same direction as Line B

⇒  Line A║ Line B

Line B makes perfect right angle with line C

⇒ Line B ⊥ Line C

From the given statements

we can conclude

⇒ Line A ⊥ Line C

Hence,  Line C ⊥ Line A

Learn more about parallel and perpendicular lines here:

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Answer:

x = 6

Step-by-step explanation:

When parallel lines are intersected by a transversal

alternate exterior angles are congruent

Therefor

15(x + 2) = 120

Divide both sides by 15

x + 2 = 8

Subtract 2 from both sides

x = 6

Answer:

Step-by-step explanation:

here 120 degrees would be the same as 15(x+2)

Just like how angle R on the other side of 120 Degrees is the same

so 15(x+2) = 120 degrees

let us distribute

15x +30 = 120

      -30     -30

15x=90

15x/15=90 /15

x=6

so what you have selected is correct

Answer:

Step-by-step explanation:

Answer:

5<6 so tbh I have no idea what this is I just need point

Explanation:

The variable x increases by 1 each time we move down the rows. This increase is constant or the same jump each time.

However, the variable y increases by different amounts. From y = 2 to y = 6, we have +4. Then from y = 6 to y = 12 is +6. This mismatch of increases is sufficient to prove we don't have a linear function. The function is nonlinear.

Visually, we can plot all of the points on the same xy grid. Notice that a straight line does not go through all four points. Rather, a parabola does, and the equation of the parabola is y = x^2+x which is the same as y = x(x+1).

8 is the correct answer. By the way, Thank you for the few extra points.. It is very appreciated.

I took screen shots of my work here you go!

Sorry, couldn't help in Q. 10

The question seems undefined or I haven't seen this question before.

Answer:

3/4

Step-by-step explanation:

5 action+4 comedy+3 drama= 12 total movies

12 will be the denominator of our fraction.

The question asks: What is the probability that the movie she selects is NOT a drama?

So, we add the number of action and comedy movies.

5+4=9

9 is our numerator.

But wait! We have to simplify the fraction 9/12!

9 divided by 3= 3

12 divided by 3= 4

Reduced answer: 3/4

Answer:

a) slope / m = 3

b) y-intercept / b = 0

c) Proportional

Step-by-step explanation:

a)

( y1 - y2 ) / ( x1 - x2 )

( 6 - 12 ) / ( 2 - 4 )

( -6 ) / ( -2 )

6 / 2

3

b)

y = mx + b

6 = 3(2) + b

6 = 6 + b

0 = b

c)

Proportional is when it crosses origin ( 0, 0 ).

Not proportional is when it does not cross origin.

Hopefully this helps!

Brainliest please?

Answer:

x = -1/3 or x = 6

Step-by-step explanation:

For this equation, you should use the FOIL method or the BOX method. Break it apart to solve it easier. Sites like mathpapa or symbolab can help break these down for you.

Step-by-step explanation:

so, if you did not make a typo the problem is

-a/6 + 7 = -14

and I guess, you need to find the value of a to make this equation true. right ?

you know that you can do additional operations on the equation ?

the rule is, whatever you change on one side of the equation you have to change also on the other side (otherwise we would destroy the original equation, where the left side must be equal to the right side).

so, a good idea to start is to try and separate the terms with the variable and the constants.

so, let's subtract 7 from both sides :

-a/6 = -14 - 7 = -21

next, the fraction is disturbing. let's dissolve it by multiplying both sides by 6 :

-a = -21×6 = -126

both sides are negative expressions. that is not nice either. let's multiply both sides by -1

a = 126

and we have our result ! bingo !

Answer: 0.07 x 5

There are 35 colored out of the 100 = 35%

35% = 0.35 = 0.07 x 5

Answer:

[tex]\displaystyle y + 7 = \frac{1}{5}(x + 4)[/tex]

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)

Step-by-step explanation:

Step 1: Define

Identify variables.

Point (-4, -7)

Slope m =  [tex]\displaystyle \frac{1}{5}[/tex]

Step 2: Find Equation

Answer:

14

Step-by-step explanation:

ratio of red : blue = 4 : 3 = 4x : 3x ( x is a multiplier )

8 red counters are added , so

4x + 8 : 3x = 8 : 3

Expressing the ratio in fractional form

[tex]\frac{4x+8}{8}[/tex] = [tex]\frac{3x}{3}[/tex] ( cross- multiply )

24x = 3(4x + 8) = 12x + 24 ( subtract 12x from both sides )

12x = 24 ( divide both sides by 12 )

x = 2

original number of counters = 4x + 3x = 7x = 7(2) = 14