John has 8 less nickels than dimes. If there is $8.30 in the purse, which equation could be used to determine the number of each type of coin?

=(x+y) [(x+y) +3]

=(x+y) (x+y+3)

(x + y) (x + y+3) is the factorized form of (x + y)² + 3(x + y)​

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The given equation is  (x + y)² + 3(x + y)​

We know that (a + b)²=a²+b²+2ab

Similarly (x + y)²=x²+y²+2xy

Substitute this in above equation

x²+y²+2xy+3(x + y)​

x²+y²+2xy+3x+3y

Factorising it we get

(x + y) (x + y+3)

Hence,  (x + y) (x + y+3) is the factorized form of (x + y)² + 3(x + y)​

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Answer:

i believe the fist one is a and second is b

Step-by-step explanation:

lol hope it helped u

Answer:

P = $10,000

Step-by-step explanation:

The equation modeling a company's profit is P = 4x - 10000.

Substitute x for 5,000.

P = 4(5,000) - 10,000

P = 20,000 - 10,000

P = 10,000

The company's profit will be $10,000 if 5,000 floats are sold.

Answer:

100 + 15 = 115

5000/100 X 115 = 5750

5750 - 5000= $750

answer D commission is the same

Answer:

The slope of the line would be the constant of proportionality for the line

shown. The point (35, 49) is really close the line which would make the

constant of proportionality 49/35 = 7/5. The equation of the line would be y =

7/5x. The number of loaves of bread from 85 pounds of flour would be

7/5(85) = 119 loaves.

Step-by-step explanation:

A ratio of the rise to a run, or the rise divided by run, is the slope of the line. It denotes how steep a line would be in the coordinate plane.

Find out more about the slope here:

brainly.com/question/3605446

Answer:

s = 32

Step-by-step explanation:

-5 (s - 30) = -10

Apply distributive property.

-5s + 150 = -10

We need to get "s" alone. By getting it alone, subtract 150 from both sides.

-5s + 150 - 150 = -10 - 150

-5s = -160

Wait a second, there is still a -5 on the s. We need to get s alone. Divide both sides by -5 to get s alone.

-5/-5s = -160/-5

s = 32

s = 32 is your answer AKA the last one. I hope this helps! Let me know if I got anything wrong or if you need any more help.

40 divided by 8 = 5

Mark Me Brainliest Please

Answer:

1/4

Step-by-step explanation:

K.C.F( keep, change, flip) hope this helps

Answer:

B. 63

Step-by-step explanation:

Answer:

The solution to the system of equations is:

[tex]x=\frac{25}{3},\:y=-\frac{11}{9}[/tex]

Step-by-step explanation:

Given the system of equations

[tex]5x + 3y = 38[/tex]

[tex]2x + 3y = 13[/tex]

solving the system of equations

[tex]\begin{bmatrix}5x+3y=38\\ 2x+3y=13\end{bmatrix}[/tex]

Multiply 5x+3y=38 by 2:    10x+6y=76

Multiply 2x+3y=13 by 5:     10x+15y=65

[tex]\begin{bmatrix}10x+6y=76\\ 10x+15y=65\end{bmatrix}[/tex]

so

[tex]10x+15y=65[/tex]

[tex]-[/tex]

[tex]\underline{10x+6y=76}[/tex]

[tex]9y=-11[/tex]

now solving 9y = -11 for y

[tex]9y=-11[/tex]

divide both sides by 9

[tex]\frac{9y}{9}=\frac{-11}{9}[/tex]

Simplify

[tex]y=-\frac{11}{9}[/tex]

For 10x+6y=76 plug in y = -11/9

[tex]10x+6\left(-\frac{11}{9}\right)=76[/tex]

subtract 6(-11/9) from both sides

[tex]10x+6\left(-\frac{11}{9}\right)-6\left(-\frac{11}{9}\right)=76-6\left(-\frac{11}{9}\right)[/tex]

[tex]10x=\frac{250}{3}[/tex]

Divide both sides by 10

[tex]\frac{10x}{10}=\frac{\frac{250}{3}}{10}[/tex]

[tex]x=\frac{25}{3}[/tex]

Therefore, the solution to the system of equations is:

[tex]x=\frac{25}{3},\:y=-\frac{11}{9}[/tex]

Answer:

6

Step-by-step explanation:

it's given that x=1

y=-(1)+7

y=-1+7

y=6

Answer:

y = 6

Step-by-step explanation:

Given (1, y ) is on the graph of y = - x + 7

Substitute x = 1 into the equation and evaluate for y

y = - 1 + 7 = 6

Then (1, 6 ) lies on the graph

Answer:

x=52

Step-by-step explanation:

since its an isosceles triangle, both sides are to have the same length.

so x+10+x+10+3x=180(all angles added in a triangle gives 180)

5x+20=180

5x=180-20

5x=160

x=160/5

x=52

Answer:

Quotient Rule

Step-by-step explanation:

Your dividing so its quotient. Product is multiplication.

Answer:

Total amount of fuel =200,000 litres

Amount of fuel used = 130,000 litres

Percentage of the fuel capacity used:

[tex] \frac{130000}{200000} \times 100 = \frac{13}{20} \times 100 = 65\% \\ [/tex]

65% of the fuel is used on this flight.

Answer:

7 years

Step-by-step explanation:

800/100= 8  8x8=48

448/48=7

sorry if im wrong i tried

if i am wrong then the answer is 6 but try the 7 years choice first

Answer:

45%

Step-by-step explanation:

✓Change in price= ($60 - $33)

=$27

✓percent change in price= change in price/ original price ×100%

✓percent change in price= ($27/$60) × 100%

= 0.45×100%

=45%

Hence, the percent change is 45%

Answer:

C) 4

Step-by-step explanation:

Arcs on one side of the diameter adds upto 180°.

Therefore,

[tex](2 + 17x) \degree + 54 \degree + 56 \degree = 180 \degree \\ \\ (2 + 17x) \degree + 110 \degree = 180 \degree \\ \\ (2+ 17x) \degree = 180 \degree - 110 \degree\\ \\ (2 + 17x) \degree = 70 \degree \\ \\ 2 + 17x = 70 \\ 17x = 70 - 2 \\ \\ x = \frac{68}{17} \\ \\ x = 4[/tex]

Answer:

Choice C) 4

Step-by-step explanation:

You can do this in multiple different ways but I will do it in the way I believe will be the fastest.

So since we already know everything on one side of the line, we can use that to find x. The line is 180° and since the angles are on the line we know that they will all add up to 180.

For this we will need an equation:

[tex]2+17x+54+56=180[/tex]

Now we add the like terms:

[tex]112+17x=180[/tex]

Subtract the 112 on both sides:

[tex]17x=68[/tex]

Divide the 17 on both sides:

[tex]x=4[/tex]

Answer:

x=4.0625 cm

Step-by-step explanation:

The Pythagorean theorem states that the square of the hypotenuse of a right triangle equals the sum of the squares of the two legs.

Not knowing which is the hypotenuse, lets assume that (x+5)cm is the hypotenuse:

(x+5)^2= 9^2+(x-3)^2

(x^2+10x+25)=81+(x^2-6x+9)

x^2+10x+25=81+x^2-6x+9

16x=65

x=4.0625

Checking:

(4.0625+5)^2=9^2+(4.0625-3)^2

82.1289=82.1289

Answer:

x = (3.95 and -5.95)

Step-by-step explanation:

Given:

Hypotenuse = 9 cm

Perpendicular = (x+5) cm

Base = (x-3) cm

Find:

Value of x

Computation:

Using Pythagoras theorem

Hypotenuse² = Perpendicular² + Base²

9² = (x+5)² + (x-3)²

81 = x² + 25 + 10x + x² + 9 - 6x

2x² + 4x - 47 = 0

Quadratic Formula

x = [-b±√b²-4ac] / 2a

x = [-4±√16+376] / 2(2)

x = (3.95 and -5.95)

Answer:

[(6x5)÷2]x10x5x2=750

Answer:

43

Step-by-step explanation:

Answer:

25 + 15n ≥ 150

Step-by-step explanation:

The term at least mean the amount saved is greater than or equal to 150

Let the number of weeks he intends to save be n

Amount saved after n weeks without the plan is:

15n

Add plan amount

= 25 + 15n

Add inequality

25 + 15n ≥ 150

Answer:

The correct graph is the first graph on the top left corner amongst the options

Step-by-step explanation:

The graph that shows that Cindy reads about 3/4 of the time while riding the car is given by the following relation;

Let 't' represent the time Cindy spend riding the car

Therefore, we are given that

The time Cindy spend reading = 3/4·t

Therefore, when Cindy rides the car for t = 4 hours, the time Cindy spend reading = 3/4·t = 3/4 × 4 = 3 hours

The coordinates of the point on the graph will therefore, be (4, 3)

Therefore, when the y-coordinate of the graph )the time Cindy spends reading) = 3, the x-coordinate of the graph (the time Cindy spends driving) = 4

Please find, the correct graph attached here, created with Microsoft Excel which is equivalent to the first graph on the top left corner amongst the options

Answer:

Step-by-step explanation:

Are the following systems equivalent? How do you know?

For the equation;

2x+y= -4 ... 1

7x+7y=0 ... 2

Let us find the solution of the equation;

From 1;

y = 4 - 2x

Susbtitutw into 2;

7x + 7(4-2x) = 0

7x + 28 - 14x = 0

-7x + 28 = 0

7x = 28

x = 28/7

x = 4

Recall that y = 4-2x

y = 4 - 2(4)

y = 4 - 8

y = -4

The solution is (4, -4)

For the other equations;

5x+6y= 4 ... 1 * 1

4x+2y= -4 ..... 2 * 3

___________________

5x+6y= 4

12x+6y= -12

Subtract

5x-12x = 4 + 12

-7x = 16

x = -16/7

Since the solutions to both simultaneous equations are different, hence the systems of equations are not equivalent.

Answer:  [tex]\dfrac{39}{89}[/tex]

Step-by-step explanation:

Given: In triangle WXY,

∠Y = 90°, XW = 89 units, WY = 80 units and YX = 39 units.

According to trigonometry ,

Cosine of A [tex]=\dfrac{\text{side adjacent to A}}{\text{hypotenuse}}[/tex]

From the figure below,

[tex]\text{cosine of } \angle X=\dfrac{YX}{WX}\\\\=\dfrac{39}{89}[/tex]

Hence, required ratio = [tex]\dfrac{39}{89}[/tex]

Answer:

(2x−5)(x+1)

Step-by-step explanation:

Factor 2x^2−3x−5

2x^2−3x−5

=(2x−5)(x+1)