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3 years ago

How many solutins 6x + 35 +9x =15x(x+4) -25

1 answer:

5 0

Hi again............. I am glad to help you again.

6x + 35 + 9x = 15x(x+4) -25
6x + 35 + 9x = 15x² + 60x - 25
15x + 35 = 15x² + 60x - 25
Now, we gonna put all the common terms together
15x - 60x + 35 + 25 - 15x² =
-45x + 60 - 15x² = 0
Now, we need to factorize
-15(x-1)(x+4)=0
Set factors equal to 0
x -1 = 0 or x + 4 = 0
x = 1 or x = 4

I hope that's help !

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A cone is 3 inches high and has a base with a surface area of 7 square inches. What is the volume of the cone?

lawyer [7]

Answer: the answer should be 7

Step-by-step explanation: V=πr2h

3=π·1.52·3

3≈7.06858

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3 years ago

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Angelina_Jolie [31]

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3 years ago

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PetSmart.com sold the following varieties of dog food in June 2003.

aivan3 [116]

Let x be the number of bags of Nature's Recipe Venison Meal & Rice Canine 20 percent protein, y be the number of bags of Nutro Max Natural Dog Food 27 percent protein and z be the number of bags of PetSmart Premier Oven Baked Lamb 25 percent protein a dog breeder buys. He wants to make 300 pounds of a mix. Then

20x+17.5y+30z=300.

Now

in 20x pounds of Nature's Recipe Venison Meal & Rice Canine 20 percent protein is 0.2·20x=4x pounds of protein;
in 17.5y pounds of Nutro Max Natural Dog Food 27 percent protein is 0.27·17.5y=4.725y pounds of protein;
in 30z pounds of PetSmart Premier Oven Baked Lamb 25 percent protein is 0.25·30z=7.5z pounds of protein;
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Then 4x+4.725y+7.5z=66.

You get a system

$\left\{\begin{array}{l}20x+17.5y+30z=300\\4x+4.725y+7.5z=66.\end{array}\right.$

From the first equation $z=10-\dfrac{2}{3}x-\dfrac{7}{12}y.$ Substitute it into the second equation:

$4x+4.725y+7.5(10-\dfrac{2}{3}x-\dfrac{7}{12}y)=66.$

Simplify it:

$-x+\dfrac{7}{20}y=-9,\\ \\ 20x-7y=180.$

y must be divided by 20, then

y=0, x=9, z=10-6=4;
y=20, x=16, z is not a whole number;
y=40, x=23, z is not a whole number;
y=60, x=30, z=10-20-35<0;
thus, all other possible z will be <0.

Answer: 9 bags with 1st mix, 0 bags with 2nd mix and 4 bags with 3rd mix.

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3 years ago

Jana joined a music club that offered her 5 CDs for a total of 3.00 if she agreed to purchase an additional 10 CDs for 15.00 eac

Hunter-Best [27]

Answer:

Average price, excluding taxes, for each CD is <u>10.20</u>.

Step-by-step explanation:

Given:

Cost of first 5 CDs, $C_1 = 3.00$

Cost of each additional CD = 15.00

Now, cost of 10 additional CDs is the product of cost of one CD and total number of additional CDs. Therefore,

Cost of 10 additional CDs is, $C_2=15.00\times 10=150.00$

Now, total CDs purchased by Jana are, $N=5+10=15$

Total cost of the 15 CDs purchased is given as:

$C_T=C_1+C_2=3.00+150.00=153.00$

Now, average price, excluding taxes, for each CD is given as:

$\textrm{Average price}=\frac{\textrm{Total cost of purchase}}{\textrm{Total number of CDs purchased}}\\\\\textrm{Average price}=\frac{C_T}{N}=\frac{153.00}{15}=10.20$

Therefore, the average price, excluding taxes, for each CD is 10.20.

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3 years ago

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disa [49]

Just
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