Combine like terms : 10a+11x+3+10-9a-9+2+6x

there are 36 quarters.

Let the number of nickels be x

Let the number of quarters be y

Value Value

Type Number of of

of of EACH ALL

coin coins coin coins

-------------------------------------------

nickels x $0.05 $0.05x

quarters y $0.25 $0.25y

-------------------------------------------

TOTALS 52 ----- $3.60

The first equation comes from the second column.

x + y = 11

The second equation comes from the last column.

0.05x + 0.25y = 3.60

Get rid of decimals by multiplying every term by 100:

5x + 25y = 360

So we have the system of equations:

x+y=52

5x+25y=360

We solve by substitution. Solve the first equation for y:

x + y = 52

y = 52 - x

Substitute (52 - x) for y in 5x + 25y = 360

5x + 25(52 - x) = 360

5x + 1300 - 25x = 360

-20x + 1300 = 360

-20x = -940

x = = 5 the number of nickels.

Substitute in y = 52 - x

y = 52 - (5

y = 47 quarters.

The number of quarters is 52-x or 52-5 or 47 quarters.

Answer:

A: $6

B: $2.01

C: $0

D: $4.50 or $7.50

E: 0 ≤ x ≥ 10

F: The more expensive you make the toy then that will mean that less people will want to buy it for its high price.

Step-by-step explanation:

{Data Expunged}

Answer:

6 19/20 dollars

Step-by-step explanation:

Sonya had 20 dollars to spend on 3 gifts.

She spent 8 1 4 dollars on gift A and 4 4 5 dollars on gift B.

Gift A + Gift B + Gift C = $20

Gift C = $20 - (Gift A + Gift B)

Gift A = $8 1/4

Gift B = $4 4/5

Hence:

The amount she had left for gift C is :

Gift C = $20 - ($8 1/4 + $ 4 4/5)

Gift C = $20 - $13 1/20

Gift C = $ 6 19/20

Answer:

Slope of the graph is steeper.

The answer is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]

Step-by-step explanation:

First we will find slope of the graph.

The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We need to find two points from the graph to find the slope.

Let we take point 1 (-2,1) and point 2 (1,2)

We will have: [tex]x_1=-2, y_1=1, x_2=1, y_2=2[/tex]

Now finding slope of the graph

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2-1}{1-(-2)} \\Slope=\frac{2-1}{1+2}\\Slope=\frac{1}{3}[/tex]

So, slope of the graph is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]

Now, we will find slope of Linear function.

It has x-intercept of 1 and y-intercept of -2

x-intercept means y=0

So, the point will be: (1,0)

y-intercept means x=0

So, the point will be: (0,-2)

We will have: [tex]x_1=1, y_1=0, x_2=0, y_2=-2[/tex]

Putting values and finding slope

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-0}{0-(1)} \\Slope=\frac{-2-0}{0+1}\\Slope=\frac{-2}{1}\\Slope=-2[/tex]

So, the slope of linear function is: [tex]\mathbf{Slope=-2}[/tex]

Now, we need to find which of the slope is steeper.

The larger the value of slope, more steeper it is:

Now, comparing the slopes:

The slope of the graph is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]

The slope of linear function is: [tex]\mathbf{Slope=-2}[/tex]

We know that, [tex]\frac{1}{3}>-2[/tex]

So, Slope of the graph is steeper.

The answer is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]

Answer:

70x

Step-by-step explanation:

8x8 = 64x then +6x = 70x

Answer:

[tex]2x(4x+3)[/tex]

Step-by-step explanation:

The first thing to factorising this expression is to find the greatest common factor (GCF). For 8x² and 6x the gcf is 2x. So now we divide the 8x² and 6x by the 2x. Which comes out to 4x and 3, these will be inside the parentheses.

So it'll factorise to [tex]2x(4x+3)[/tex] and remember when we are dividing with exponents we subtract the exponents. So [tex]\frac{8x^2}{2x}[/tex] we will divide the coefficients together that'll be 4 and now for the exponents the 2 on the x² minus the 1 on the x will equal 1 so it'll be just x we don't place a one or anything.

Answer:

it should take 70 mins to fill all 5

hope this helps!! :)

Step-by-step explanation:

14 x 5 = 70

Answer:

70

Step-by-step explanation:

14 minutes = 1 cavity

x minutes = 5 cavities

70= x

Answer:

can someone give us the answer if its independent or dependent

Step-by-step explanation:

Answer:

The ladder is 10 ft long...

Answer:

Write a situation in which positive and negative numbers are used to describe values that have opposite meaning. What does 0 represent in this situation you created?

Step-by-step explanation:

Answer:

For the first problem the answer is x=4

The second Problem the answer is no solutions

Step-by-step explanation:

7x−(3x+5)−8=1/2 (8x+20)−7x+5

7x+−3x+−5+−8=1/2(8x) +(1/2) (20)+−7x+5(Distribute)

7x+−3x+−5+−8=4x+10+−7x+5

(7x+−3x)+(−5+−8)=(4x+−7x)+(10+5)(Combine Like Terms)

4x+−13=−3x+15

4x−13=−3x+15

Step 2: Add 3x to both sides.

4x−13+3x=−3x+15+3x

7x−13=15

Add 13 to both sides.

7x−13+13=15+13

7x=28 Divide both sides by 7.

x=4

5(3x+4) -2x = 7x -3(-2x+11)​

Simplify both sides of the equation.

5(3x+4)−2x=7x−3(−2x+11)

(5)(3x)+(5)(4)+−2x=7x+(−3)(−2x)+(−3)(11)(Distribute)

15x+20+−2x=7x+6x+−33

(15x+−2x)+(20)=(7x+6x)+(−33)(Combine Like Terms)

13x+20=13x+−33

13x+20=13x−33

Subtract 13x from both sides.

13x+20−13x=13x−33−13x

20=−33

Step 3: Subtract 20 from both sides.

20−20=−33−20

0=−53

There are no solutions.

Answer:

Step-by-step explanation:

7x-(3x+5)-8 = (1/2)*(8x+20) -7x +5

1. Distributive Property

7x - 3x - 5 - 8 = 4x + 20 - 7x + 5

2. Combine like terms

4x -13 = -3x + 25

3. Add 13 on both sides

4x -13 + 13 = -3x + 25 + 13

4x = -3x + 38

4. Add 3x on both sides

4x + 3x = -3x + 3x + 38

7x = 38

5. Divide by 7 on both sides

7x / 7= 38 / 7

x = 5.428571428571429

or

x = 5.4

__________________________________________________________

5(3x+4) -2x = 7x -3(-2x+11)​

1. Distributive Property

15x + 20 - 2x = 7x + 6x - 33

2. Combine like terms

13x + 20 = 13x - 33

3. Subtract 20 on both sides

13x + 20 - 20 = 13x - 33 - 20

13x = 13x - 53

4. Subtract 13x on both sides

13x - 13x = 13x - 13x - 53

0 = -53 ( there is no answer for x)

Hope this helped!!!!

Answer:

C

Step-by-step explanation:

The 2 triangles are similar (AA postulate ), thus the ratios of corresponding sides are equal, that is

[tex]\frac{14}{2}[/tex] = [tex]\frac{49}{x}[/tex] ( cross- multiply )

14x = 98 ( divide both sides by 14 )

x = 7 → C

Answer:

$1,849

Step-by-step explanation:

7,396/4=1,849

Answer:

(500÷1.8)÷60

By dividing 1.8 out of 500, u can know

Answer:

Its either 8x/5 or 5x/8

im not sure sorry.

Answer:

[tex]8 \sqrt{72} = 8 \sqrt{3 \times 3 \times 2 \times 2 \times 2} \\ = 8 \times 3 \times 2 \times \sqrt{2} = 48 \sqrt{2} [/tex]

Answer:

hypotenuse = 4.24

Step-by-step explanation:

sin θ = opposite / hypotenuse

sin 45 = 3[tex]\sqrt{2}[/tex]/ hypotenuse

0.707 = 3[tex]\sqrt{2}[/tex]/ hypotenuse

hypotenuse = 4.24

Answer:

1466.666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666

Step-by-step explanation:

9514 1404 393

Answer:

  (x, y) = (1, 1)

Step-by-step explanation:

About Algebra

All of Algebra is based on a few simple rules:

When we solve equations by substitution, we make use of these facts.

__

About Substitution

Generally, substitution in equation solving is done for the purpose of eliminating a variable from the equation. That usually means you want to write an expression for one variable in terms of other variables.

Finding the Expression to Substitute

In this set of equations, the variables are x and y. We can substitute for y an expression involving x, or we can substitute for x an expression involving y. These equations are written in such a way that either method works as well as the other.

Let's choose to substitute for y. This means we need an equation of the form ...

  y = <some expression involving x>

The first equation makes it easy to get that. If we add y (to both sides, see rule 3 above), we get ...

  5x -y +y = 4 +y

  5x = 4 + y . . . . . . . . . simplified

Subtracting 4 (from both sides) gets us the form we want.

  5x -4 = 4 -4 + y

  5x -4 = y . . . . . . by rule 4 above, we can use (5x-4) anyplace you see y

Using the Expression to Substitute

Now, we have an expression for y that we can use in the second equation. There, y is multiplied by 4, so we need to be sure to multiply the whole expression by 4:

  -x + 4(5x -4) = 3 . . . . . . substituted for y in the second equation

  -x +20x -16 = 3 . . . . . use the distributive property to eliminate parentheses

  19x -16 = 3 . . . .  . . collect terms

This has a constant (-16) where we don't want it, so we can add 16 (to both sides) to get rid of it.

  19x -16 +16 = 3 +16

  19x = 19 . . . . simplify

Now, we can divide by 19 (to both sides) to get x by itself.

  (19x)/19 = 19/19

  x = 1 . . . . almost done; we still need to find y

Finishing Up

Using the equation for y that we used for substitution, we can find y from our value of x.

  y = 5x -4 = 5×1 -4 = 5-4

  y = 1

So, the solution is x = 1, y = 1, or (x, y) = (1, 1).

_____

Additional comment

In this set of equations, both variables (x and y) appear with coefficients of 1 (actually, -1). This makes it easy to solve for an expression that can be substituted for the variable. In systems of equations that you want to solve by substitution, it usually works well to start by looking for a variable with a coefficient of 1 (or -1). Use that to write the substitution expression as we did here.

__

Alternate Solution

If you use a variable with a coefficient other than 1 to write the substitution expression, you end up with fractions. That's OK if you're comfortable with arithmetic using fractions. It generally requires more care.

For example, we could solve the first equation for x:

  x = (4 +y)/5

Substituting that into the second equation gives ...

  -(4 +y)/5 +4y = 3

  -4/5 -y/5 +4y = 3

  (3 4/5)y = 3 4/5 . . . . . add 4/5 (to both sides), collect terms

Now, you get to divide by 3 4/5 to get ...

  y = (3 4/5)/(3 4/5) = 1

Fortunately, in this case, we can see the numerator and denominator are identical, so the division result is 1. If it weren't you'd be faced with dividing mixed numbers--not always a student's first choice of fun math operations.

  x = (4 +1)/5 = 1 . . . . finishing up

Answer:

slope= ( 5,1 ) Y-intercept= ( 0,-7 )

Step-by-step explanation:

Answer:

p=23

Step-by-step explanation:

Answer:

P=23

Step-by-step explanation:

38-15=23

p=23

Hope this helps

Have a great day!

Answer:

32.25 miles in 43mins

45miles in an hour

Step-by-step explanation:

Divide '2 1/2' by '3 1/3' to find the distance done in a minute: 0.75 miles

Multiply the distance done in a minute(0.75) by 43 to find the distance done in 43 minutes: 32.25miles

Multiply the distance done in a minute(0.75) by 60 to find the distance done in an hour: 45miles

Answer:

[tex] {c}^{2} = {a}^{2} + {b}^{2} \\ {c}^{2} = ({7 \sqrt{2}) }^{2} + ( {7 \sqrt{2} ) }^{2} \\ {c}^{2} = 2(49 \times 2) \\ {c}^{2} = 196 \\ c = \sqrt{196} \\ c = 13 \: units[/tex]

Answer:

its 8

Step-by-step explanation:

Answer:

nmbjhsnn,dnn,nmmmmmmmdndmnnmdnmdndmdndm smh

Step-by-step explanation:

Step-by-step explanation:

400,200,100,50,25,12.5, ...... 0.78125

Answer: B

Step-by-step explanation:

Answer:

you didnt say what b was but itd be 12/b

Step-by-step explanation:

Answer:

b/12

Step-by-step explanation:

whats b?

7 + 5 = 12

so whatever b is, divide that by 12

b/12

Answer:

5.8 meters

Step-by-step explanation:

The formula to calculate this is given as:

Height/ Shadow

Shadow of the pole = 25.5 m

Height of the pole = x m

Tim's shadow = Height of the pole - Tim's distance

25.5 m - 15.4 m = 10.1 m

Tim's height = 2.3 m

Hence:

x/25.5 = 2.3/10.1

Cross Multiply

10.1x = 25.5 × 2.3

x = 25.5 × 2.3/10.1

x = 5.8069306931 m

Approximately = 5.8m

Hence, the height of the flagpole = 5.8m

Step-by-step explanation:

multiply 5x+2y=19 by 3 youll get 15x+6y=57

eliminate y

7x-6y=9

15x+6y=57 +

22x=66

x=3

substitute x to 5x+2y=19

15+2y=19

2y=4

y=2