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2 years ago

If I had 24 apples and X blue berries there are 9 times as many blueberries than apples.

Mathematics

2 answers:

Ganezh [65]2 years ago

7 0

Answer: X=216

so, you have 216 blueberries

Marta_Voda [28]2 years ago

6 0

Answer:

216 blueberries

Step-by-step explanation:

Blueberries ?

24 x 9 = 216 blueberries

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Write an equation in point-slope form of the line that passes through the given point and has the given slope. (12, 5); m = -3

givi [52]

Answer:

y - 5 = -3(x - 12)

Step-by-step explanation:

Point slope form is: y - y1 = m(x - x1), where (x1, y1) is a point on the line, and m is the slope of the line.

Plug in the point and the slope:

y - y1 = m(x - x1)

y - 5 = -3(x - 12)

So, y - 5 = -3(x - 12) is the equation in point slope form of the line.

7 0

2 years ago

A bank loaned out $14000, part of it at the rate of 9% per year and the rest at 17% per year. If the interest received in one ye

WINSTONCH [101]

Using simple interest, it is found that $13,872 was loaned at 9%.

<h3>Simple Interest</h3>

The amount of money after t years in simple interest is modeled by:

$A(t) = P(1 + rt)$

In which:

P is the initial amount.

r is the interest rate, as a decimal.

The interest earned is:

$I(t) = Prt$

A bank loaned out $14000, in two parts, hence:

$P_2 = 14000 - P_1$

Part of it at the rate of 9% per year and the rest at 17% per year, hence:

$r_1 = 0.09, r_2 = 0.17$

The interest received in one year totaled $2000, hence:

$I_2 = 2000 - I_1$

Then:

$I_1 = 0.09P_1$

$I_2 = 0.17I_2$

$14000 - P_1 = 0.17(2000 - I_1)$

Isolating $I_1$ as a function of $P_1$ , then we can replace on the equation for the first interest.

$14000 - P_1 = 340 - 0.17I_1$

$0.17I_1 = -13660 + P_1$

$I_1 = \frac{P_1 - 13660}{0.17}$

Then:

$I_1 = 0.09P_1$

$\frac{P_1 - 13660}{0.17} = 0.09P_1$

$P_1 - 13660 = 0.0153P_1$

$0.9847P_1 = 13660$

$P_1 = \frac{13660}{0.9847}$

$P_1 = 13872$

$13,872 was loaned at 9%.

To learn more about simple interest, you can take a look at brainly.com/question/25296782

3 0

2 years ago

Valentina's family is planning to have a party for her quinceanera. They are considering two different locations to rent for her

CaHeK987 [17]

Answer:

number of hours = 3 hours

Step-by-step explanation:

Let

x = number of hours

Casa Lucia = 200 + 500x

Silver Fox = 1,100 + 200x

To solve the equation, equate both cost of rent

Casa Lucia = Silver Fox

200 + 500x = 1,100 + 200x

200 - 1,100 = 200x - 500x

-900 = - 300x

x = -900 / -300

x = 3 hours

number of hours = 3 hours

The solution to the system of equations in this real-world context represents the number of hours both locations can be rented with the same cost.

It means both locations cost the same if rented for 3 hours each

3 0

3 years ago

Suppose you have a water-balloon launcher. The balloon is 3 ft high when it leaves the launcher. Use the equation 0 = ?16t2 + 38

mario62 [17]

Answer:

t = 2.5 s

Step-by-step explanation:

Suppose you have a water-balloon launcher. The balloon is 3 ft high when it leaves the launcher. Its equation is :

$16t^2 + 38.8t + 3 =0$

The above equation is a quadratic equation. The general equation is :

$ax^2+bx+c=0$

Here, a = 16, b = 38.8 and c = 3

The solution of quadratic equation is given by :

$x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}\\\\t=\dfrac{-38.8\pm \sqrt{(38.8)^2-4\times (-16)\times 3} }{2\times (-16)}\\\\t=\dfrac{-38.8+\sqrt{(38.8)^{2}-4\times-16\times3}}{-2\times16}, \dfrac{-38.8-\sqrt{(38.8)^{2}-4\times-16\times3}}{-2\times16}\\\\t=-0.075\ s,2.5\ s$

So, at t = 2.5 s the balloon is in air.

8 0

2 years ago

Hi my brother has a question and here it is:

JulijaS [17]

The answer is joe mama :/

5 0

2 years ago

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