3x multiplied x+7 =?

The landing restuarant order 200 flowers for mother day.the orderd carnation at 1.50$,Rose's at 5.75$and the daisies at 2.60$ ea

Vanyuwa [196]

Answer:

She ordered 80 carnations, 50 roses, and 70 daisies.

Step-by-step explanation:

Let x = number of carnations, y = number of roses, and z = number of daisies. This problem gives us three equations.

First, remember that we multiply the price of each flower by the number bought then add up the subtotals, that gives the total amount paid.

Therefore,

1.50x + 5.75y + 2.60z = 589.50

Second, the sum of the numbers purchased is the total bought. Therefore,

x + y + z = 200

Finally, there are 20 fewer roses than daisies. Therefore,

y = z - 20

If you substitute z - 20 in for y in the first two equations, you can rewrite them so they only have x and z.

1.50x + 5.75(z - 20) + 2.60z = 589.50

1.50x + 5.75z - 115 + 2.60z = 589.50

1.50x + 8.35z = 704.50

x + (z - 20) + z = 200

x + 2z - 20 = 200

x + 2z = 220

If you solve the rewrite second equation for x, you get x = 220 - 2z. Therefore, you can substitute 220 - 2z in for x in the rewritten first equation, and then solve for z.

1.50 (220 - 2z) + 8.35z = 704.50

330 - 3z + 8.35z = 704.50

330 + 5.35z = 704.50

5.35z = 374.50

z = 70

If you have z = 70, then x = 220 - 2(70) = 80 and y = 70 - 20 = 50.

She ordered 80 carnations, 50 roses, and 70 daisies.

*HOPE THIS HELPED!!! :D)

4 0

4 years ago

Solve 2 1/2 divided by 5 1/3 = 8/x

ipn [44]

$2\frac { 1 }{ 2 } \quad divided\quad by\quad 5\frac { 1 }{ 3 } \\ \\ 2\frac { 1 }{ 2 } =2+\frac { 1 }{ 2 } =\frac { 5 }{ 2 } \\ \\ 5\frac { 1 }{ 3 } =5+\frac { 1 }{ 3 } =\frac { 15+1 }{ 3 } =\frac { 16 }{ 3 } \\ \\ \\ \frac { \frac { 5 }{ 2 } }{ \frac { 16 }{ 3 } }$

We're dividing fractions, so we will flip the one in the denominator upside down and we will multiply it with the numerator.

$\frac { \frac { 5 }{ 2 } }{ \frac { 16 }{ 3 } } \quad =\quad \frac { 5 }{ 2 } \cdot \frac { 3 }{ 16 } =\frac { 5\cdot 3 }{ 2\cdot 16 } =\frac { 15 }{ 32 }$

Let's equal this too 8/x

$\frac { 15 }{ 32 } =\frac { 8 }{ x }$

Cross multiply.

$8\cdot 32=15\cdot x\\ \\ 256=15x$

Divide both sides by 15.

$\frac { 256 }{ 15 } =\frac { 15x }{ 15 } \\ \\ \frac { 256 }{ 15 } =x$

4 0

3 years ago

Please help!

Masja [62]

Answer:

(A) The rate of change in the price of a bushel of corn in the current year is $7.

(B) The price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.

Step-by-step explanation:

The graph for the prices of different numbers of bushels of corn at a store in the current year is shown below.

Part A:

The rate of change in the price of a bushel of corn in the current year based upon the number of bushels is known as the slope of the line.

The formula to compute the slope is:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Consider the ordered pairs: (4, 28) and (10, 70)

Compute the slope of the line as follows:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{70-28}{10-4}\\\\=\frac{42}{6}\\\\=7$

Thus, the rate of change in the price of a bushel of corn in the current year is $7.

Part B:

The data for the price of bushels in the previous year is as follows:

Number of Bushels Price

2 10

4 20

6 30

8 40

Compute the rate of change in the price of a bushel of corn in the previous year based upon the number of bushels as follows:

Consider the ordered pairs: (2, 10) and (6, 30)

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{30-10}{6-2}\\\\=\frac{20}{4}\\\\=5$

The rate of change in the price of a bushel of corn in the previous year is $5.

Thus, the price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.

5 0

3 years ago

The distributive property can be applied to which expression to factor 12x3 - 9x2 + 4x - 3?

Len [333]

Answer: 3x^2(4x-3)+1(4x-3)

Step-by-step explanation:

4 0

3 years ago

A cupcake shop earns $950 a day. The total amount of earning varies directly with the number of days. Find the total earning the

defon

Answer: $4750

Step-by-step explanation:

950*5

7 0

4 years ago

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