What is y=4/5x+7 in standard form?

3/8 + (-7/8) = ???? brianliest

ser-zykov [4K]

Answer:

-0.5

Step-by-step explanation:

just divide the numbers first then add them together

6 0

3 years ago

If Florist B increases the cost per rose to $5.20,for what number of roses is it less expensive to order from Florist A? From Fl

Alenkinab [10]

Answer:

For 38 roses at $5.15 per rose, Florist A is Less Expensive then Florist B

For 34 roses at $5.20 per rose, Florist A is Less Expensive then Florist B

Step-by-step explanation:

The Full Question Reads:

Derek wants to order some roses online. Florist A charges $4.75 per blue rose plus $40 delivery charge. Florist B charges $5.15 per red rose plus $25 delivery charge. If Florist B increases the cost per rose to $5.20, for what number of roses is it less expensive to order from Florist A? From Florist B?

To begin we need to understand our given information and what we are actually looking for.

Given Information

Florist A:

charges $4.75 per blue rose

charges $40 per delivery

Florist B:

charges $5.15 per red rose

charges $25 per delivery

Note: in this problem we ignore the colour of the rose (red or blue) as it does not affect our solution or contributes to it. Therefore we shall call our first variable representing the number of roses as $x$ .

The next step is to construct a system of equations representing our problem and our given information. Here we are looking at linear relationships so a linear function of the form:

$y=ax+b$ Eqn(1).

will suffice where

$y$ : represents the total cost from the Florists (i.e. number of roses and delivery charges). Dependent Variable

$x$ : represents the number of roses purchased from the Florists. Independent Variable

$a$ : is our relationship factor between $y$ and $x$

$b$ : is our constant which in this problem is the delivery charge value for each florist.

Since we have two Florists, we will construct two equations, one for each florist, by employing Eqn(1). and our given information as follow:

Florist A: $y=4.75x+40$ Eqn(2).

Florist B: $y=5.15x+25$ Eqn(3).

By employing both equations above and writing them as an inequality since we are looking for which value of $x$ (i.e. number of roses) will the less expensive Florist be and then solving for $x$ we have:

$4.75x+40$

$4.75x-5.15x$ Gathering all similar terms together

$-0.4x$ Simplifying

$x>\frac{-15}{-0.4}\\$ Solving for x

$x>37.5$

(note how < changes to > since any multiplication/devision process of negative sign in an Inequality will change the order of < to > and vice versa).

Since a rose has to be sold as a whole and not half we will say that $x>38$ So we can then plug in the value of $x$ in Eqn(2) and Eqn(3) and find the cost of buying more than 38 roses from each:

Eqn(2): Florist A: $y(x>38)=4.75*38+40=220.5$

Eqn(3): Florist B: $y(x>38)=5.15*38+25=220.7$

Which tells us that Florist A is less expensive than Florist B by $0.20 for a purchase of more than 38 roses.

Next the question tells us that Florist B increases the cost from $5.15 to $5.20 per rose, which in Eqn(3) denotes our $a$ value and thus Eqn(3). now becomes:

Florist B: $y=5.20x+25$ Eqn(3).

Applying the same method like before and solving for the value of $x$ we have:

$4.75x+40$

$4.75x-5.20x$ Gathering all similar terms together

$-0.45x$ Simplifying

$x>\frac{-15}{-0.45}\\$ Solving for x

$x>33.3$

Similarly as a rose has to be sold as a whole and not half we will say that $x>34$ So we can then plug in the value of $x$ in Eqn(2) and Eqn(3) and find the cost of buying more than 34 roses from each:

Eqn(2): Florist A: $y(x>34)=4.75*34+40=201.5$

Eqn(3): Florist B: $y(x>34)=5.15*34+25=201.8$

Which tells us that Florist A is again less expensive than Florist B by $0.30 for a purchase of more than 34 roses. It was also shown that as the cost of the rose increased by $0.05 the number of roses for purchase decreased.

4 0

3 years ago

There are 12 inches in 1 foot. Jada is working on improving her vertical jump. She records,

guajiro [1.7K]

Answer:

There are 72 inches in 6 feet.

Step-by-step explanation:

Given:

There are 12 inches in 1 foot.

Jada is working on improving her vertical jump.

Currently, her standing reach is 6 feet from the ground.

Now, to find the inches in 6 feet.

Let the inches in 6 feet be $x.$

As given:

In 1 foot there are 12 inches.

So, 1 foot is equivalent to 12 inches.

Thus, 6 feet is equivalent to $x$

Now, to find using cross multiplication method:

$\frac{1}{12} =\frac{6}{x}$

By cross multiplying we get:

$x=72$

So, the inches in 6 feet = 72.

Therefore, there are 72 inches in 6 feet.

3 0

3 years ago

Nancy wants to sell 54 CD'S to her 6 friends for 5.00 each. How much will Nancy receive from selling her CD's? If each friend bu

alekssr [168]

Answer:

she will make $270 and each friend buys 9 CD's

Step-by-step explanation:

To find the money she makes take the CDs and multiply it times the money each one costs. To find the amount each friend buys divide the cds by th amount of friends

8 0

3 years ago

Can someone give me the steps to solving this equation? 3^x = 81

r-ruslan [8.4K]

Do 81/3=27/3=9/3=3, So you see the answer is 3^4, I don't know if that's the official way to solve it but it works.

5 0

3 years ago