You borrow $3,209 from a friend and promise to pay back $4,210.21 in 4 years. What simple interest rate will you pay?

Answer:

Number of vegetarian wraps = 80

Number of chicken wraps = 37

Step-by-step explanation:

Let

Number of vegetarian wraps = x

Number of chicken wraps = y

x + y = 117 (1)

x + 1.5y = 135.50 (2)

Subtract (1) from (2) to eliminate x

1.50y - y = 135.50 - 117

0.50y = 18.50

y = 18.50/0.50

y = 37

Substitute y = 37 into (1)

x + y = 117 (1)

x + 37 = 117

x = 117 - 37

x = 80

Number of vegetarian wraps = 80

Number of chicken wraps = 37

Answer:

AE - 3, EB - 2, EC - 5

Step-by-step explanation:

Use the Pythagorean theorem and you'll find that these are the answers.

I'll answer problem 19

=======================================================

Part (a)

The tickmarks on segments DE and DC indicate they are the same length. We're also told that |DC| = |DE| = 5.

So DE is also 5 cm long. Triangle DAE is a right triangle with the 90 degree angle at angle A. Let x be the length of segment AE.

We'll use the pythagorean theorem to find x

a^2 + b^2 = c^2

(AE)^2 + (AD)^2 = (DE)^2

x^2 + 4^2 = 5^2

x^2 + 16 = 25

x^2 = 25-16

x^2 = 9

x = sqrt(9)

x = 3

Segment AE is 3 cm long

=======================================================

Part (b)

For any rectangle, the opposite sides are parallel and the same length. This means AB = DC = 5 cm.

We found earlier that AE = 3 cm, so,

AE+EB = AB

3+EB = 5

EB = 5-3

EB = 2

Segment EB is 2 cm long

=======================================================

Part (c)

We know that AD = BC = 4 cm, because the opposite sides are the same length.

Earlier in part (b), we found that segment EB was 2 cm long.

Triangle EBC is a right triangle with legs EB = 2 and BC = 4. Let's apply the pythagorean theorem to find EC. Let y = EC.

a^2 + b^2 = c^2

(EB)^2 + (BC)^2 = (EC)^2

2^2 + 4^2 = y^2

4 + 16 = y^2

20 = y^2

y^2 = 20

y = sqrt(20)

y = sqrt(4*5)

y = sqrt(4)*sqrt(5)

y = 2*sqrt(5)

y = 4.4721359

As an exact value, EC is sqrt(20) or 2*sqrt(5) cm long.

As an approximate value, EC is roughly 4.4721359 cm long.

I would ask your teacher if you should use the exact or approximate value.

Answer:

40%

Step-by-step explanation:

(12/30)x100

Step-by-step explanation:

[tex]4 + 3(5 + x)\\4 + (3 * 5 ) + (3 * x)\\4 + 15 + 3x[/tex]

Answer:

3x+19

Step-by-step explanation:

Let's simplify step-by-step.

4+3(5+x)

Distribute:

=4+(3)(5)+(3)(x)

=4+15+3x

Combine Like Terms:

=4+15+3x

=(3x)+(4+15)

=3x+19

Answer:

No

Step-by-step explanation:

It appears the only way to talk to you is by answering your questions...so whatever.

Fan activity though? Really? Worst excuse ever. Ew.

Answer:

Step-by-step explanation:

A system of equations has no solutions if you end up with a contradiction. For example, the system of two equations

y = 2x + 4

y = 2x

If you subtract the second equation from the first, you get

0 = 4

an obvious contradiction. If you were to graph the equations, you would see that the lines are parallel. They never intersect, so there is no point that satisfies both equations.

Answer:

Base = 3√5

Step-by-step explanation:

Given:

Hypotenuse = 9

Perpendicular = 6

Find:

Base(x)

Computation:

Using Pythagorean theorem

Base = √Hypotenuse² - Perpendicular²

Base = √9² - 6²

Base = √81 - 36

Base = √45

Base = 3√5

Answer:

I believe it would be graph Z :)

Step-by-step explanation:

Answer:

it’s graph x

Step-by-step explanation:

vertical line test, put a vertical line through the graph, if it touches more than 1 point(2 or more) it’s not a functions

Answer:

The employees will work for 1 hour, will earn $5 per hour and will be paid $5

Step-by-step explanation:

System of Equations

The number of hours the employees work is x.

And the hourly wage that they are paid is y. The store manager is willing to pay the employees a wage given by the equation

10y-30x=20

The business owner states that the employees should be paid a wage given by the equation

6y+30x=60

Adding both equations we have:

16y = 80

Dividing by 16:

y = 80/16 = 5

Substituting into the first equation:

10*5-30x=20

Operating and simplifying:

50-30x=20

50 - 20 = 30x

30x = 30

x = 30/30 = 1

Thus, the employees will work for 1 hour, will earn $5 per hour and will be paid $5

Answer:

y=70

x=55

Step-by-step explanation:

In an equilateral triangle, all the angles measure 60 degrees. Knowing this, we can set the following equations:

[tex]60=y-10\\60=x+5[/tex]

[tex]60=y-10[/tex]

Add 10 to both sides

[tex]60+10=y-10+10\\70=y[/tex]

[tex]60=x+5[/tex]

Subtract both sides by 5

[tex]60-5=x+5-5\\55=x[/tex]

I hope this helps!

Answer:

x is 55° & y is 70°.

Step-by-step explanation:

This is an equilateral triangle.

In an equilateral triangle all sides are 60°

So,

1) x+5 = 60

x = 55°.

2) y-10 = 60

y = 70°.

Answer: x is 55° & y is 70°.

Answer:

Plot a point at the y-intercept.

Step-by-step explanation:

You start by plotting the y-intercept because you'll already have the value when you substitute x as 0 in the expression.

y = 0.5(0) -4

y = -4

Answer:

7

Step-by-step explanation:

(-1^2)x 3 = 3

-1 x 4 = -4

3--4 = 7

Answer:

(x-114.5), (x-14.05)

Step-by-step explanation:

Answer attached

First Answer:

x = 12

First Step-by-step explanation:

12 + x = -3(4 - x)

12 + x = -12 + 3x

- x - x

—————————

12 = -12 + 2x

+ 12 + 12

—————————

24 = 2x

24/2 = 2x/2

12 = x

Second Answer:

No solution

Second Step-by-step explanation:

2(x - 1/2) = 8 + 2x

2x - 1 = 8 + 2x

+1 +1

—————————

2x = 9 + 2x

- 2x - 2x

—————————

0 = 9

^^ No solution

Answer:

E

Step-by-step explanation:

you would find the area of both squares, then add them together.

Answer:

8/12, 6/19 and 9/10!

Step-by-step explanation:

All of them cannot be simplified.

but the rest can like  

4/26 can be simplified by 2

and 10.22 can be simplified by 2

Answer:

5: c, 3: a

Step-by-step explanation:

the answer is:

-5w - 12

Answer:

4x+4y

Step-by-step explanation:

You can write an equivalent expression by simply simplifying the expression. In order to simplify this expression, distribute the numbers.

You'll get:

(2*2x)+(2*2y) = 4x + 4y

4x + 4y is an equivalent expression.

Answer:

Since x=−128/3 is a vertical line, there is no y-intercept and the slope is undefined.

Step-by-step explanation:

Hope it helps :)

Answer:

240

Step-by-step explanation:

the answer is 240 bc if you divide 4 from 4:3 320/4 is 80 and use the 3 from 4:3 80x3 is 240

Answer:

y=2x+3 x-y=-2

substituting y=2x+3 x-(2x+3)=-2

-x=-2-3

-x=-5

x=-5/-1

x=5

now substituting x=5

y=2x+3

y=2(5)+3

=10+3

y=13

Answer:

Step-by-step explanation:

Question 1

System of equations is,

y = -6x -------(1)

y = -4x - 2 ---------(2)

Substitute the value of y from equation (1) to equation (2)

-6x = -4x - 2

-6x + 4x = -2

-2x = -2

x = 1

From equation (1)

y = -6(1)

y = -6

Question (2)

System of equations is,

-y = x --------(1)

3x + 5y = 20 ---------(2)

Substitute the value of x from equation (1) to equation (2)

3(-y) + 5y = 20

-3y + 5y = 20

2y = 20

y = 10

From equation (1)

-y = x

x = -10

Question (3)

System of the equations is,

y = -2x - 7 --------(1)

9x - 10y = 12 ----------(2)

Substitute the value of y from equation (1) to equation (2)

9x - 10(-2x - 7) = 12

9x + 20x + 70 = 12

29x = 12 - 70

29x = -58

x = -2

From equation (1)

y = -2(-2) - 7

y = 4 - 7

y = -3

Answer:

x² + 9x + 14 can be factored as (x+2)(x+7)

Step-by-step explanation:

The general form is ax² + bx + c. If a=1, then you can start looking for two numbers that multiplied give c and added give b.

14 = 2*7

and

9 = 2+7

hence the easy factorization

(x+2)(x+7)

Keep in mind that it only works if a=1.

Answer:

( + 2 ) (x+7 )

Step-by-step explanation:

Use the sum-product pattern   2 + 9 + 1 4 2 + 7 + 2 + 1 4 2

Common factor from the two pairs   2 + 7 + 2 + 1 4 ( + 7 ) + 2 ( + 7 ) 3

Rewrite in factored form   ( + 7 ) + 2 ( + 7 ) ( + 2 ) ( + 7 )

Answer:

D   19 feet

Step-by-step explanation:

Let x = height of flagpole

tan 65 = x/9

9tan 65 = x

x = 19.3 ≅ 19 ft. to the nearest foot

Answer:

0     7

1     7.20

2    7.40

3    7.60

Step-by-step explanation: