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3 years ago

15

Hector keep close tabs on his bank account. His account had a balance of -$22.80. The next day, he made a deposit of $56.60. His

account balance changed to $.

2 answers:

laila [671]3 years ago

8 0

Answer:

79.40

Step-by-step explanation:

valentina_108 [34]3 years ago

5 0

If you add 22.80 by the deposit which is 56.60 you will get 79.04
The answer is : 79.04

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The function f(x) = 1.50x – 30 gives the amount of money Amelia has to spend each week for x school lunches, after taking money

Naya [18.7K]

To find the inverse, switch the x and y, and then solve for y (f(x) is the same as y)

So we get:
x=1.50y-30 (add 30 to both sides)
x+30=1.50y (divide both sides by 1.5)
x/1.5+30/1.5=y
y=x/1.5+20

Hope this helps

7 0

3 years ago

Two people start from the same point. One walks east at 4 mi/h and the other walks northeast at 8 mi/h. How fast is the distance

kvasek [131]

Answer:

5.89 mi/h

Step-by-step explanation:

This problem can be solved by using different methods. I will use vectors since it's the simplest way in which we can solve it. This can be solved by using related rates of change though.

First, we start by drawing a diagram with the velocity vectors.

A= velocity of the first person

B= velocity of the second person

C= velocity in which they are moving away from each other.

Since there is no acceleration in the problem, we can suppose we are talking about constant speeds, so the velocity at which they are moving away from each other will always remain constant. (It doesn't matter what time it is, the velocity will always be the same)

Having said this we can solve this problem by using the components, by using law of cosines or graphically. I will use law of cosines. The idea is to find the length of side c.

Law of cosines:

$C^{2}=A^{2}+B^{2}-2ABcos \gamma$

so we can solve the formula for C so we get:

$C=\sqrt{A^{2}+B^{2}-2ABcos \gamma}$

and now we can substitute the values we know:

$C=\sqrt{(4)^{2}+(8)^{2}-2(4)(8)cos 45^{o}}$

$C=\sqrt{16+64-32\sqrt{2}}$

$C=\sqrt{80-32\sqrt{2}} mph$

if we want an exact answer, then that will be the exact answer, which approximates to:

C=5.89 mph

4 0

3 years ago

Cerrena [4.2K]

La edad de cada uno de los integrantes del acertijo es:

<u>Luisa = 3 años </u>
<u>Juan = 6 años </u>
<u>Carmen = 8 años</u>

<em>Cálculo por medio de ecuaciones y el </em><em>método de igualación</em>.

Haciendo uso de la información brindada en el ejercicio, se procede a formular variables con las cuales se calcularán las ecuaciones, por lo tanto:

<em>X = Edad de Luisa</em>
<em>Y = Edad de Juan</em>
<em>Z = Edad de Carmen</em>

Con el enunciado: <em>"Luisa es 3 años más joven que su hermano Juan"</em> se crea la primera ecuación:

1. Y = X + 3

Con el enunciado: <em>"Su hermana Carmen es 2 años mayor que Juan"</em>, se crea la segunda ecuación:

2. Z = Y + 2

Y con el enunciado: <em>"Juan tiene el doble de edad que Luisa"</em>, se crea la tercera ecuación:

3. X = $\frac{Y}{2}$

Ahora, utilizando el método de igualación, se reemplaza la <em>tercera ecuación en la primera</em>:

Y = X + 3
Y = ( $\frac{Y}{2}$ ) + 3

Y se procede a sumar:

Y = ( $\frac{Y}{2}$ ) + 3
Y = $\frac{Y+6}{2}$

El dividendo se pasa al otro lado de la igualdad a multiplicar:

2Y = Y + 6

Y la variable "Y" que está sumando, se pasa al otro lado de la igualdad a restar:

2Y - Y = 6
<u>Y = 6</u>

Con el valor de Y (edad de Juan) <em>se calcula X con la tercera ecuación</em>:

X = $\frac{Y}{2}$
X = $\frac{6}{2}$
<u>X = 3</u>

Una vez calculado el valor de X (edad de Luisa), se procede a <em>calcular el valor de Z con la segunda ecuación</em>:

Z = Y + 2
Z = 6 + 2
<u>Z = 8</u>

Por lo tanto, se calcula que <u>la edad de Luisa es 3 años, la edad de Juan es 6 años y la edad de Carmen es 8 años</u>.

Más información sobre ecuaciones:

brainly.com/question/15415929?referrer=searchResults

8 0

2 years ago

Caitlin says the difference in their ages is 24 years. In two or more complete sentences, explain whether or not Caitlin is corr

Paraphin [41]

~Hello There!~

$\frac{m}{s} =\frac{2}{5}$

Rearrange for s

$s = \frac{5m}{2}$

After 8 years, the new equation would be:

$\frac{m+8}{s+8} =\frac{1}{2}$

Cross multiply

$2m+16 = s+8$

Subtract 8

$2m+8=s$

Substitute old equation

$2m+8 = \frac{5m}{2}$

Solve to get m as 16.

s = 40.

Their current ages are 16 and 40 and the different is 24 years. Therefore, Caitlin is correct.

Hope This Helps You!

Good Luck :)

Have A Great Day ^_^

- Hannah ❤

3 0

3 years ago

if you drove into the ocean and went under the water 6 feet wiuld youbsay you were -6ft under the water or 6ft under yhe water

-Dominant- [34]

Answer:

Both are fine i think

Step-by-step explanation:

6 0

2 years ago