Devont had a handful of dimes and quarters in his pocket. He counted 41 coins and realized they were worth $7.55. Write and solve a system of linear equations to determine the number of dimes and quarters Devont had.

Answer:

51

Step-by-step explanation:

8.5/1

and

x/6

cross multiply

51=x

Answer:

yes

Step-by-step explanation:

Answer:

$1.68

Step-by-step explanation:

The total cost is $16.07 and there was 2 things bought- the oranges and the juice bottles. to make it easier to find the cost of the juice bottles, we'll subtract the cost of the oranges (2.63) from the total (16.07), which gives us 13.44. this number represents the total cost of only the bottles. To find out the cost if each individual bottle, you need to divide the total (13.44) by the number of bottles (8). This gives us 1.68, so the cost of each bottel is $1.68

Hope this help :)

Given:

The expression is

[tex]\sqrt{180m^2}[/tex]

To find:

The value of the given expression by using the perfect squares.

Solution:

We have,

[tex]\sqrt{180m^2}[/tex]

It can be written as

[tex]=\sqrt{2\times 2\times 3\times 3\times 5\times m^2}[/tex]

[tex]=\sqrt{(2)^2(3)^25m^2}[/tex]

[tex]=\sqrt{(2\times 3\times m)^25}[/tex]

[tex]=\sqrt{(6m)^25}[/tex]

[tex]=6m\sqrt{5}[/tex]

Therefore, the value of given expression is [tex]6m\sqrt{5}[/tex].

Answer:

The solution is:

x=3

y=4

Step-by-step explanation:

We need to solve this system using the substitution method.

2x + 2y = 14

y = 3x - 5

Substitution method involves placing value of x or y from one equation to other equation.

We have:

[tex]2x + 2y = 14--eq(1)\\y = 3x-5 --eq(2)[/tex]

We will put value of y from equation 2 into equation 1.

[tex]2x + 2y = 14\\Put\:y = 3x - 5\\2x+2(3x-5)=14\\2x+6x-10=14\\8x=14+10\\8x=24\\x=\frac{24}{8}\\x=3[/tex]

So, we get x =3

Now, put value of x in equation 2 to find value of y

[tex]y = 3x - 5\\Put\:x=3\\y=3(3)-5\\y=9-5\\y=4[/tex]

So, we have y = 4

The solution is:

x=3

y=4

Answer:

hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Step-by-step explanation:

Answer:

cos30=12/x

√3/2=12/x

x=12×2/√3=24√3/3=8√3

sin30=y/x

1/2=y/8√3

1/2×8√3=y

y=4√3

Answer:

[tex]y= 1.25(2)^{x}[/tex]

Step-by-step explanation:

[tex]y= 1.25(2)^{x}[/tex]

For x=0

[tex]y= 1.25(2)^{0} = 1.25[/tex]

For x=1

[tex]y= 1.25(2)^{1} = 1.25(2)=2.5[/tex]

For x=2

[tex]y= 1.25(2)^{2} = 1.25(4)=5[/tex]

For x=3

[tex]y= 1.25(2)^{3} = 1.25(8)=10[/tex]

Answer:

R= 22537

Step-by-step explanation:

Step-by-step explanation:

use desmos it's a graphing calculator just put in the equation

Answer:

$50.88

Step-by-step explanation:

Adjusted Price without tax = 0.8 * 60,

0.8 * 60 = 48,

With Tax = 1.06 * 48,

1.06 * 48 = 50.88

∴ New Price = 50.88

Answer:

Its $12.84

Step-by-step explanation:

20 percent of $60 is 12, and the sales tax is $.84, so you add those two together and you get $12.84! Hopes this helps and good luck!

Answer:

y = -6 + 2/3x can I get brainliest?

Step-by-step explanation:

Just add 2/3x to both sides

y-2/3x=-6

 +2/3.      +2/3

cannot combine like term with number so..

y = -6 + 2/3x

Answer:

:)

Step-by-step explanation:

quiz scores:

a. arrange them all from least to greatest to figure out the median first

your quiz: 15, 16, 17, 18, 19     middle # = 17        median = 17

friend's quiz: 12, 13, 17, 20, 20     middle # = 17       median = 17

now for mean add all of your quiz scores up and divide by how many #s

15 + 16 + 17 + 18 + 19 = 85 / 5 = 17          mean = 17

now your friend's:

12 + 13 + 17 + 20 + 20 = 82 / 5 = 16.4       mean = 16.4

mode is which number is used the most

your mode = you don't have a mode       your friend's mode = 20

b. you have a higher mean than your friend

world populations:

a. range is to subtract the smallest number from the largest

803 - 31 = 772

b. mean is adding it all up and dividing by how many numbers there are:

803 + 487 + 348 + 368 + 730 + 31 = 2767 / 6 = 461.17

median is arranging them in order and finding the middle #

31, 348, 368, 487, 730, 803

368 + 487 = 855 / 2 = 427.5

mean = 461.17

median = 427.5

mode = no mode

tomato plants:

a. range is subtracting the smallest from the largest

52 - 36 = 16

b. mean is adding all the #s and dividing by how many #s there are:

36 + 45 + 52 + 40 + 38 +41 + 50 + 48 = 350 / 8 = 43.75

median is the middle from least to greatest

36, 38, 40, 41, 45, 48, 50, 52

41 + 45 = 86 / 2 = 43

mean = 43.75

median = 43

mode = no mode

hope this helps! :)

Answer:

5x^3-9x^2-6x + 8

= (x+1)(5x-4)(x-2)

Step-by-step explanation:

Firstly, we need to get the other polynomial by which we can multiply the linear factor

What we have to do here is to divide the bigger polynomial by its linear factor

We can do this by long division, please check attachment for this

By kind division, the other factor is;

5x^2-14x + 8

So, we proceed to factorize this;

We have this as ;

5x^2-10x-4x+ 8

5x(x-2) -4(x-2)

= (5x-4)(x-2)

Answer:

$45

Step-by-step explanation:

the teddy is $16, the stuffed animal is $14 if you add it you get $30. Then you add the chessboard which is $15 all together is $45

Answer:

d) m<J = 115, m<K = 130, m<M = 50, m<N = 65

Step-by-step explanation:

The sum of interior angles in this rectangle is equal to 360

if we add all the given angles 7x + 10 = 360 subtract 10 from both sides

7x = 350 divide both sides by 7

x = 50 to find the measure of each angle replace x with 50

Answer:

10 visits

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Rewards for signing up = 80 points

Reward per visit = 2.5 points

Total points needed = 105

Let, number of visits = x

So, we can calculate number of visits by using following formula,

80 + (2.5 × X) = 105

2.5X = 105 - 80

2.5X = 25

X = 25 ÷ 2.5

X = 10 visits.

Hence, Olivia needs to make 10 visits in order to earn a free movie ticket.

Answer:

t=-4

Step-by-step explanation:

Answer:

t = -4

Step-by-step explanation:

divide each term by 8 and simplify

Answer:

what are the equations?

Step-by-step explanation:

Answer:

First point goes on -2

Step-by-step explanation:

Answer:

I believe the answer is C. Use Desmos and plug in the equation y=-x-2

Step-by-step explanation:

Answer:

Step-by-step explanation:

That x in the denominator has a power of 1 even if its not visually there. When you multiply exponents, you add them.

[tex]x^1*x^-^2=x^-^1[/tex]

Now you have this

[tex]x^-^6/x^-^1[/tex]

When you divide exponents, you subtract them

[tex]x^-^5 = 1/x^5[/tex]

Answer:

c = 3.6

Step-by-step explanation:

Step-by-step explanation:

Do

(4÷2×5)

first

.............

Answer:

3x + 11m + c

Step-by-step explanation:

Step 1) Write the Equation: 3x + 5m + 6m + c

Step 2) Add like Terms: 3x + 11m + c