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3 years ago

8

Jodie has $70 to spend on flowers for a school event. She wants to buy roses for $24 and spend the rest on lilies. Each lily flo

wer costs $12. How many can she purchase without going over her budget?

2 answers:

ioda3 years ago

6 0

Answer:

only 3

Step-by-step explanation:

frosja888 [35]3 years ago

6 0

She can purchase three or 3 without going over budget

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Alina mixed 3 L of pineapple juice with every 7 L of orange juice in order to make fruit punch.

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Step-by-step explanation:

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3 years ago

1. Y varies inversely with x. If y = 9 when x = -5, find the value of x when y=-6.

Gelneren [198K]

Answer:

Step-by-step explanation:

1 ) Y∝ 1 / X

Y = k / X

Y = 9 , X = -5

Putting the values in the relation above

9 = k / - 5

k = -45

Y = - 45 / X

Put Y = - 6

- 6 = - 45 / X

X = - 45 / -6

= 7.5

2 )

Luke and Nora can peel 12 carrots in 5 minutes

in 1 minute Luke and Nora can peel 12 / 5 carrot

in 1 minute Luke alone can peel 12/ 11 carrot .

In 1 minute Nora alone will peel (12 / 5 - 12/ 11 ) carrot

(12 / 5 - 12 / 11 )

= 2.4 - 1.1

= 1.3 carrot

In 1 minute Nora alone will peel 1.3 carrot

1.3 carrot in 1 minute

8 carrot in 8 / 1.3 minute

= 6.15 minutes.

In 1 minute Nora alone will peel 8 carrot in 6.15 minutes working alone.

3 0

3 years ago

Solve the initial value problem: y'(x)=(4y(x)+25)^(1/2) ,y(1)=6. you can't really tell, but the '1/2' is the exponent

goblinko [34]

Answer:

$y(x)=x^2+5x$

Step-by-step explanation:

Given: $y'=\sqrt{4y+25}$

Initial value: y(1)=6

Let $y'=\dfrac{dy}{dx}$

$\dfrac{dy}{dx}=\sqrt{4y+25}$

Variable separable

$\dfrac{dy}{\sqrt{4y+25}}=dx$

Integrate both sides

$\int \dfrac{dy}{\sqrt{4y+25}}=\int dx$

$\sqrt{4y+25}=2x+C$

Initial condition, y(1)=6

$\sqrt{4\cdot 6+25}=2\cdot 1+C$

$C=5$

Put C into equation

Solution:

$\sqrt{4y+25}=2x+5$

or

$4y+25=(2x+5)^2$

$y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4}$

$y(x)=x^2+5x$

Hence, The solution is $y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4}$ or $y(x)=x^2+5x$

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3 years ago

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