The sum of three numbers is 15. The sum of the first number and three times the second number is 15. The sum of the second number and the third number is 8. What are the three numbers?

Answer:

(x + 5)(3x + 7)

Step-by-step explanation:

Given

3x² + 22x + 35

Consider the factors of the product of the x² term and the constant which sum to give the coefficient of the x- term

product = 3 × 35 = 105 and sum = 22

The factors are + 15 and + 7

Use these factors to split the x- term

= 3x² + 15x + 7x + 35 ( factor the first/second and third/fourth terms )

= 3x(x + 5) + 7(x + 5) ← factor out (x + 5) from each term

= (x + 5)(3x + 7) ← in factored form

Answer:

it is false

Step-by-step explanation:

Answer:

[tex]2a^2-5a+3[/tex]

Step-by-step explanation:

2a(a-3)-1(a-3)=

2a^2-6a-a+3=

2a^2-5a+3

Answer:

Step-by-step explanation:

Complete Question:

A function is expressed by the equation y = 0.3x − 6. For what value of the independent variable will the value of the function be equal to −6; −3; 0?

Answer:

If the value of the function is equal to −6, the value of the independent variable is equal to 0. If the value of the function is equal to −3, the value of the independent variable is equal to 10. If the value of the function is equal to 0, the value of the independent variable is equal to 20.

Step-by-step explanation:

Given:

[tex] y = 0.3x - 6 [/tex]

Required:

Find x, if y = -6; -3; and 0.

SOLUTION:

x = the independent variable

y = dependent variable

To find x (independent variable), when the value of the function (y) is -6, substitute y = -6 into the equation of the function:

[tex] y = 0.3x - 6 [/tex]

[tex] -6 = 0.3x - 6 [/tex]

[tex] -6 + 6 = 0.3x [/tex] (addition property of equality)

[tex] 0 = 0.3x [/tex]

[tex] \frac{0}{0.3} = \frac{0.3x}{0.3} [/tex]

[tex] 0 = x [/tex]

[tex] x = 0 [/tex]

To find x (independent variable), when the value of the function (y) is -3, substitute y = -3 into the equation of the function:

[tex] y = 0.3x - 6 [/tex]

[tex] -3 = 0.3x - 6 [/tex]

[tex] -3 + 6 = 0.3x [/tex] (addition property of equality)

[tex] 3 = 0.3x [/tex]

[tex] \frac{3}{0.3} = \frac{0.3x}{0.3} [/tex]

[tex] 10 = x [/tex]

[tex] x = 10 [/tex]

To find x (independent variable), when the value of the function (y) is 0, substitute y = 0 into the equation of the function:

[tex] y = 0.3x - 6 [/tex]

[tex] 0 = 0.3x - 6 [/tex]

[tex] 0 + 6 = 0.3x [/tex] (addition property of equality)

[tex] 6 = 0.3x [/tex]

[tex] \frac{6}{0.3} = \frac{0.3x}{0.3} [/tex]

[tex] 20 = x [/tex]

[tex] x = 20 [/tex]

Answer:

(y + 4)(y + 1)

Step-by-step explanation:

Given

y² + 5y + 4

Consider the factors of the constant term (+ 4) which sum to give the coefficient of the y- term (+ 5)

The factors are + 4 and + 1 , since

4 × 1 = 4 and sum = 4 + 1 = 5 , thus

y² + 5y + 4 = (y + 4)(y + 1) ← as a product of factors

Answer: The last one

Step-by-step explanation:

3 units left would be -3 and 5 units down would be +5

Answer:

four fifths because if you divided 4 by 5 is 0.8 and that equals four fifths

Answer:

Answer is 120

Step-by-step explanation:

Answer:

e total surface area (TSA) of a cuboid is the sum of the areas of its 6 faces, which is ... 1: Find the total surface area of a cuboid with dimensions 8 cm by 6 cm by 5 cm. ... Example 2: Find the surface area of a cuboid of dimensions 4.8 cm, 3.4 cm ... Example 4: The length, breadth and height of a cuboid are 16cm, 14cm and ...

Step-by-step explanation:

Where's the cuboid? You left it out.

In any case, use the following formula:

SA = 2(front + side + top)

Answer:

Search it up

Step-by-step explanation:

GO ON GOOGLE sorry i couldnt help :(

Answer:

I really dont know sorry love <3

Step-by-step explanation:

Answer:

D. 75

Step-by-step explanation:

Bc they are congruent that means that DAY has angles 60 and 45 so you add them together to get 105 and bc triangles are 180 deg, the last angle is 75 (180-105 = 75)

Answer:

No solutions

Step-by-step explanation:

Let's solve your equation step-by-step.

5(3x+5)=3(5x+1)

Step 1: Simplify both sides of the equation.

5(3x+5)=3(5x+1)

(5)(3x)+(5)(5)=(3)(5x)+(3)(1)(Distribute)

15x+25=15x+3

Step 2: Subtract 15x from both sides.

15x+25−15x=15x+3−15x

25=3

Step 3: Subtract 25 from both sides.

25−25=3−25

0=−22

Answer:

There are no solutions.

Answer:

$544.5

Step-by-step explanation:

a) 12 minutes is 0.2 hours.

So 3/0.2= 15 patients.

b) 15*36.3= $544.5

Answer:

Dylan can plant maximum 8 plants.

Number of marigolds in each flower box  [tex]=8[/tex]

Number of periwinkles in each flower box  [tex]=9[/tex]

Step-by-step explanation:

Number of marigolds = 64

Number of periwinkles = 72

To find the maximum number of flower boxes Dylan can plant, find H.C.F of 64 and 72.

[tex]64=2^6\\72=2^3\,\,3^2[/tex]

So,

H.C.F(64, 72) = [tex]2^3=8[/tex]

That is Dylan can plant maximum 8 plants.

Number of marigolds in each flower box = [tex]\frac{64}{8}=8[/tex]

Number of periwinkles in each flower box = [tex]\frac{72}{8}=9[/tex]

Answer:

-3(2t - 1) = t + t + t + 3

-6t + 3 = 3t + 3

-6t -3t = 3t - 3t +3

-9t + 3 - 3 = 0

9t = 0

t = 0

Step-by-step explanation:

Answer:

V=72x³y³

Step-by-step explanation:

The formula to apply is;

V= l * w * h where

V= volume in units cubed.

l= length = 3xy

w=width = 4xy

h= height = 6xy

Substitute values in the formula as;

V= l*w*h

V=3xy * 4xy * 6xy ----find product for the numbers {3*4*6=72} then multiply by the product for x's {x*x*x =x³} that of y's {y*y*y=y³}

V= 72*x³*y³

V= 72x³y³  --------where xy are the units used.

Answer:

1,100 miles traveled in 2 hours, 3,300 miles in 6 hours

Step-by-step explanation:

if the plane is moving at a constant speed, to find the miles per hour divide the distance traveled over the time (1650/3). this would get you 550 miles per hour. So, to get the distances at the other times multiply the times by the speed to get distance traveled. (2*550) and (6*550)

Answer:

10,800

-1200

Step-by-step explanation:

Given that :

40 units of maple sap = 1 ounce of maple syrup

Using a 20 - ounce bottle, 2 ounces of air is left

Ounces of actual syrup = (20 - 2) = 18 ounces

Number of maple sap required to fill 15 bottles :

Number of maple saps required to fill 18 ounces bottle :

40 units = 1 ounce

x = 18 ounces

Hence, for 18 ounces of maple syrup :

(40 * 18).= 720 units of maple sap

For 15 bottles of 18 ounces maple syrup:

(720 * 15) = 10,800 units of maple sap

If they had filled each bottle to the top:

(40 * 20 * 15) = 12000 units of maple sap

10,800 - 12000 = - 1200 units of maple sap

Answer:

33 cups of sugar should be used

Step-by-step explanation:

subtract 12 from 21 then add that answer to 24 and you get 33 so 33 cups of sugar should be used

42 cups of sugar should be used if 21 cups of flour are used

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

For a given recipe, 12 cups of flour are mixed with 24 cups of sugar

We need to find cups of sugar should be used if 21 cups of flour are used

Let us consider x as cups  of sugar should be used if 21 cups of flour are used

Let us form an equation to find x

12/24=21/x

Apply cross multiplication

12x=21×24

12x=504

Divide both sides by 12

x=504/12

x=42

Hence, 42 cups of sugar should be used if 21 cups of flour are used

To learn more on Ratios click:

https://brainly.com/question/13419413

#SPJ2

Answer:

-6.75

Step-by-step explanation:

Answer:

The answer is D. -7.25

Answer:

-25 over 6 as a fraction or -4 and 1 over 6 as simplified fraction or 4.16 as a decimal

Step-by-step explanation:

hopefully that helps you

Answer:

12 more hours

Step-by-step explanation:

$400 is the cost (LESS) $14.75 that he has already

Total needed is now $385.25

He worked 26 hours at 10.15 = $263.90 that he already has

$385.25-$263.90 = $121.35

$121.35 Divided by his hourly wage of $10.15 = 11.95 (or 12 hours)

Answer:

a) Two thorough rinses gives;

1/25 × 1/2 × 2/17 strong bleach/L = 1/425 strong bleach/L

b) The water should be divided into two quantities of 10 liters each

Step-by-step explanation:

The given parameters are;

The initial volume of strong bleach solution in the nappies = 1/2 Liters

The volume of water first used to rinse = 12 liters

The volume of water used in the second rinse = 8 liters

Therefore, we have;

The total volume of the water and the concentrated bleach in the first rinse = 1/2 + 12 = 12.5 Liters

The new concentration of the bleach in the first rinse water = (1/2 strong bleach)/12.5 L = (1/2 strong bleach)/25/2 L = 1/2×2/25 = 1/25 strong bleach/L

The volume of the first rinse introduced in the second rinse = 1/2 Liters

The concentration of the bleach introduced in the second rinse = The new concentration of the bleach in the first rinse water = 1/25 strong bleach/L

The volume of water added in the second rinse = 8 liters

The total volume of the water and the bleach in the second rinse = (8 + 1/2) liters = 8.5 liters

The concentration of bleach in the second rinse = (The concentration of the bleach introduced in the second rinse × (Volume of bleach solution introduced in the second rinse))/(The total volume of the water and the bleach in the second rinse)

The concentration of bleach in the second rinse = (1/25 strong bleach/L × 1/2 L)/(8.5 Liters)

The concentration of bleach in the second rinse = (1/25 strong bleach/L × 1/2 L)/(17/2 Liters) = 1/25 × 1/2 × 2/17 strong bleach/L = 1/425 strong bleach/L

b) The the quantity of water in the first rinse = x

The amount of water in the second rinse = 20 - x

The concentration of bleach in the first rinse = 1/2/(x + 1/2) = 1/(2·x + 1)

The concentration introduced in the second rinse = 1/2 × 1/(2·x + 1) = 1/(4·x + 2)

The total volume of water and bleach introduced in the second rinse = (20 - x + 1/2) = 20.5 - x

The concentration of bleach in the second rinse = 1/(4·x + 2)/(20.5 - x)

The minimum value for the concentration can be found from taking the derivative of the function for the concentration and equation to zero as follows;

[tex]\dfrac{\mathrm{d} \dfrac{1}{\left ( 4\cdot x + 2 \right )\cdot \left ( 20.5 - x \right )}}{\mathrm{d} x} = \dfrac{2\cdot \left ( x - 10 \right )}{\left ( 2\cdot x + 1 \right )^{2}\cdot \left ( 20.5 - x \right )^{2}} = 0[/tex]

2·(x - 10) = 0

x = 0/2 + 10 = 10

x = 10

The the quantity of water in the first rinse = x = 10 liters

The the quantity of water in the first rinse = 10 liters

The amount of water in the second rinse = 20 - x = 20 - x = 20 - 10 = 10 liters

The amount of water in the second rinse = 10 liters

The water should be divided into two quantities of 10 liters each

Therefore, the water should be divided into two quantities of 10 liters each to give a final bleach solution concentration of 1/(4·x + 2)/(20.5 - x) = 1/(4×10 + 2)/(20.5 - 10) = 1/42 × 1/10.5 = 1/441 concentration/liter.

Answer: a) Two thorough rinses gives;

1/25 × 1/2 × 2/17 strong bleach/L = 1/425 strong bleach/L

b) The water should be divided into two quantities of 10 liters each

Answer:34

4

Step-by-step explanation:

Answer:

43602

Step-by-step explanation:

hope this helps :)

Answer: The points C(1,2) and E(2,2) make both inequalities true

Step-by-step explanation:

we have

-----> inequality A

The solution of the inequality A is the shaded area below the dashed line

------> inequality B

The solution of the inequality B is the shaded area above the solid line

The solution of the system of inequalities is the shaded area between the dashed line and the solid line

see the attached figure

Remember that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities and the point lie on the shaded area of the solution

Plot the points and verify if lie on the shaded area

Let

see the attached figure

The points C(1,2) and E(2,2) lie on the shaded area

The points A(-1,3) and B(0,2) satisfy inequality B but don't satisfy inequality A

The point D(2,-1) satisfy inequality A but don't satisfy inequality B

therefore

The points C(1,2) and E(2,2) make both inequalities true

Answer:

I think it's d I'm not sure tho

Answer:

B

Step-by-step explanation:

I'm pritty sure it is B hopefully this helps.

Answer:

X = 27

Step-by-step explanation:

10, 20, 32, 37, 50, 60

First things first, take off 10, 20, 50, and 60.

Now, you remain with 32 and 37. Now from here it is simple.

Average of 32 and 37 = 34.83

Round 34.83 to 35

32 averaging 37 (Rounding Terms) ≈ 35

So X is 27