Ask question

Ask question

All categories

oksano4ka [1.4K]

1 year ago

15

Maxine and her daughter are going grocery showing after she gets off work. Maxine sees that apples are $0.25, while bananas are

$0.79. She has $2.50 to spend on apples, x, and bananas. y. Write the equation, in standard form that represents her situation.
HELP ME PLEASE

1 answer:

Butoxors [25]1 year ago

3 0

Her situation can be modeled by the linear equation (in standard form):

x*$0.25 + y*$0.79 = $2.50

<h3>How to write the equation that represents her situation?</h3>

The variables that we will use here are:

x = number of apples that she can buy.

y = number of bananas that she can buy.

We know that she has $2.50 to spend, that each apple costs $0.25 and each banana costs $0.79, then the cost of the x apples and y bananas is:

x*$0.25 + y*$0.79

and that must be equal to the amount she has to spend, then we can write the linear equation:

x*$0.25 + y*$0.79 = $2.50

That is the linear equation in standard form that represents her situation.

Learn more about linear equations:

brainly.com/question/1884491

#SPJ1

You might be interested in

Find the output for the graph<br> y = -6x + 25<br> when the input value is 3.<br> =<br> y = [?]

avanturin [10]

<u><em>Answer</em></u>

$x=\frac{11}{3}$

<u><em>Explanation</em></u>

Based on the given conditions, formulate:: $y=3$

Substitute $y=3$ into $y=-6x+25$ :: $3=-6x+25$

Rearrange variables to the left side of the equation: $6x=25-3$

Calculate the sum or difference: $6x=22$

Divide both sides of the equation by the coefficient of variable: $x=\frac{22}{6}$

Cross out the common factor: $x=\frac{11}{3}$

3 0

2 years ago

On a map, the distance from Happy Hill Park to Rainbow Valley Park is 4/1/2 inches. The scale is 1/2 inch: 3 miles. What is the

Studentka2010 [4]

we are given

The scale is

$\frac{1}{2} inch=3miles$

the distance from Happy Hill Park to Rainbow Valley Park is 4 1/2 inches

we can change it into rational form

and we get

$=\frac{9}{2}inch$

so, we can multiply both sides by 9

$9*\frac{1}{2} inch=9*3miles$

now, we can simplify it

$\frac{9}{2} inch=27 miles$

so, the actual distance between the two parks is 27 miles........Answer

6 0

3 years ago

I need to find the surface area of this box. Will someone help me?

Jlenok [28]

Answer: 480. Hope it helps! :)

Step-by-step explanation:first, you times 10 times 8, you get 80. then, you times it by six. Your answer is 480.

6 0

3 years ago

Which theorem is the following?

lord [1]

Answer:

Perpendicular bisector theorem

Step-by-step explanation:

The illustration of the theorem is:

If point B is a perpendicular bisector of Line AC and the length of AC is 10cm

Then

$AB + BC = 10$

Where

$AB = BC$ --- Perpendicular bisector

So, the equation becomes

$AB + AB =10$

$2AB =10$

$AB = 5$

Recall: $AB = BC$

$AB = BC = 5$

7 0

3 years ago

Considere a função de oferta como sendo y= 5x - 1/2 e a função de demanda como sendo y= -7x + 47/2 , onde x é a quantidade e y é

swat32

A) Temos que igualar isso a 2,50, que é o valor de y, ou seja, o valor do preço. Façamos isso, então, na função de demanda.

$y = -7x + \frac{47}{2}$

Substituir.

$2,50 = - 7x + \frac{47}{2}$

Passar o que é x de um lado e o que é número do outro lado.

$-7x = - \frac{47}{2} + 2,50$

A fração 47/2 corresponde a 23,5. É mais interessante para nós, nesse caso, utilizar o valor decimal.

$-7x = - 23,5 + 2,50$

Somar logo.

$-7x = -21$

Podemos multiplicar por -1 para tirar os sinais negativos.

$7x = 21$

Passar o x dividindo

$x = \frac{21}{7}$

Dividir

$\boxed{x = 3}$

Para um preço de R$ 2,50, a quantidade demandada é de 3 unidades.

B) Basta igualar as duas formulinhas.

$5x - \frac{1}{2} = -7x + \frac{47}{2}$

Passar o que é x de um lado e o que é número do outro lado.

$5x + 7x = \frac{47}{2} + \frac{1}{2}$

Somar tudo. Como as frações têm o mesmo denominador, <u>nada de </u><u>mmc</u>! Basta somar os numeradores.

$12x = \frac{48}{2}$

Podemos dividir lá, olha:

$12x = 24$

Passar o x dividindo

$x = \frac{24}{12}$

Dividir

$\boxed{x = 2}$

O ponto de equilíbrio é o valor 2.

C) Basta, então, igualar as fórmulas da oferta e da demanda a 10.

Fórmula da oferta

$10 = 5x - \frac{1}{2}$

Passar o que é x de um lado e o que é número do outro lado.

$5x = 10 - \frac{1}{2}$

Se 1/2 = 0,5, dá pra resolver sem fazer mmc:

$5x = 10 - 0,5$

Subtrair

$5x = 9,5$

Passar dividindo

$x = \frac{9,5}{5}$

Dividir.

$\boxed{x = 1,9}$

Fórmula da demanda

$10 = -7x + \frac{47}{2}$

Passar o que é x de um lado e o que é número do outro lado.

$-7x = \frac{47}{2} - 10$

Divide 47/2, vai.

$-7x = 23,5 - 10$

Subtrair.

$-7x = 13,5$

Passar o 7 dividindo.

$x = - \frac{13,5}{7}$

Vamos dividir e transformar em decimal.

$\boxed{x = -1,9285714285714285714285714285714}$

Subtrair a oferta pela demanda.

$x = 1,9 - (-1,9285714285714285714285714285714)$

Subtrair.

$\boxed{x = 3,8285714285714285714285714285714}$

Arredondando, o preço será de R$ 3,83.

8 0

3 years ago