Maddie has x dollars. After spending $90 on a purse, she will have $45. What is the value of x?

A graph is shown. The values on the x axis are 0, 1, 2, 3, 4, 5. The values on the y axis are 0, 7, 14, 21, 28, 35. Points are s

agasfer [191]

The ratio of the number of cups of strawberry juice to the number of cups of lemon-lime soda is 7 : 1 ⇒ 3rd answer

Step-by-step explanation:

In A graph:

Points are shown on ordered pairs (0 , 0) , (1 , 7) , (2 , 14) , (3 , 21) and (4 , 28) are connected by a line
The label on the x-axis is Lemon-Lime Soda in cups
The label on the y-axis is Strawberry Juice in cups

We need to find the ratio of the number of cups of strawberry juice to the number of cups of lemon-lime soda

∵ The points are connected by line

∵ The x-axis represents the number of cups of Lemon-Lime Soda

∵ The y-axis represents the number of cups of Strawberry Juice

∴ The ratio of the the number of cups of strawberry juice to the

number of cups of lemon-lime soda equal to the slope of the line

∵ The slope of the line $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

- You can calculate the slope of a line from any two points lie on it

∵ Points (1 , 7) and (2 , 14) lie on the line

∵ $x_{1}$ = 1 and $x_{2}$ = 2

∵ $y_{1}$ = 7 and $y_{2}$ = 14

∴ $m=\frac{14-7}{2-1}=\frac{7}{1}$

∵ The ratio of the number of cups of strawberry juice to the number

of cups of lemon-lime soda = m

∴ The ratio of the number of cups of strawberry juice to the number

of cups of lemon-lime soda = 7 : 1

The ratio of the number of cups of strawberry juice to the number of cups of lemon-lime soda is 7 : 1

Learn more:

You can learn more about the ratio in brainly.com/question/2707032

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7 0

4 years ago

1) If y = x3 + 2x and dx/ dt = 5, find dy/dt when x = 2. Give only the numerical answer. For example, if dy, dt = 3, type only 3

Semenov [28]

Answer:

a) 70

b) 10π ft²/ft

c) 0.24 ft/sec

Step-by-step explanation:

1) y = x³ + 2x

$\frac{dy}{dt}=\frac{d(x^3+2x)}{dt}$

or

$\frac{dy}{dt}$ = $3x^2\frac{dx}{dt}+2\frac{dx}{dt}$

at $\frac{dx}{dt}=5$ and x = 2

$\frac{dy}{dt}$ = $3(2)^2\times(5)+2\times(5)$

or

$\frac{dy}{dt}$ = 60 + 10 = 70

2) A = πr² ft²

$\frac{dA}{dr}=\frac{d(\pi r^2)}{dr}$

or

$\frac{dA}{dr}$ = 2(πr)

at r = 5 ft

$\frac{dA}{dr}$ = 2(π × 5) ft²/ft

or

$\frac{dA}{dr}$ = 10π ft²/ft

3) From Pythagoras theorem

Base² + Perpendicular² = Hypotenuse²

Thus,

B² + P² = H² .............(1)

here, H = length of the ladder

P is the height of the wall

B is the distance from the wall at bottom

or

B² + P² = 25² ...........(1)

at B = 20 ft

20² + P² = 25²

or

P² = 625 - 400

or

P = √225

or

P = 15 ft

differentiating (1) with respect to time, we get

$2B\frac{dB}{dt}+2P\frac{dP}{dt}=0$

at B = 20 ft, $\frac{dB}{dt} = 0.18$ and P = 15 ft

⇒ 2(20)(0.18) + $2(15)\frac{dP}{dt}$ = 0

or

$30\frac{dP}{dt}$ = - 7.2

or

$\frac{dP}{dt}$ = - 0.24 ft/sec (Here negative sign depicts the ladder slides down)

7 0

4 years ago

Find the value of f(x). When the x. = 0

Norma-Jean [14]

Answer:

is there more to this question if no than f(x)=f(0)

Step-by-step explanation:

replace x in f(x) with 0

3 0

3 years ago

What is the completely factored form of x4y – 4x2y – 5y? y(x2 – 5)(x2 1) y(x2 5)(x2 – 1) (x2y – 5)(x2 1) (x2y 5)(x2 – 1)

Gala2k [10]

Answer:

y (x² + 1) (x² - 5)

Step-by-step explanation:

<h3>Factorization:</h3>

Take 'y' from each term.

x⁴y - 4x²y - 5y = y[x⁴ - 4x² - 5]

Now factorize x⁴ - 4x² - 5.

Sum = -4

Product = -5

Factors = -5 , 1

When we add (-5) + 1, it gives (-4) and when we multiply (-5)*1, gives (-5).

x⁴ - 4x² - 5 = x⁴ + x² - 5x² - 5

= x²(x² + 1) -5(x² + 1)

= (x²+ 1) (x² - 5)

x⁴y - 4x²y - 5y = y (x² + 1) (x² - 5)

7 0

2 years ago

80s+40j=280 what are the solutions HELPPPPP

STALIN [3.7K]

S= 1
J= 5

80(1) + 40(5) =280
(80 + 200)

3 0

3 years ago