Quotient of z by 6 is multiplied by y.

Answer:

D

Step-by-step explanation:

Answer:

x = 16 units

Step-by-step explanation:

BC = 32√2 / √2 = 32

x = 32/2 = 16

Answer:

let x =the original price

then 116x/100=$39.32

116x=100×39.32

116x=3932

divide both sides by 116

116x/116=3932/116

x=33.89655

(2dp)

x=33.90

Answer:

1.

It has two solution because it is in quadratic form.

2.

(x-4)²-28=8

x²-8x+16-28-8=0

x²-8x-20=0

Doing middle term factorization

x²-(10-2)x-20=0

x²-10x+2x-20=0

x(x-10)+2(x-10)

(x-10)(x+2)=0

either

x=10

or

x=-2

:. x= 10 or -2

3.

2x²-5x-5=0

Comparing above equation with ax²+bx +c

we get

a=2

b=-5

c=-5

quadratic equation is

[tex]x = \frac{ - b ± \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

Substituting value

[tex]x = \frac{ 5 ± \sqrt{ {-5}^{2} - 4×2×-5} }{2×-5} [/tex]

-10x=5±[tex] \sqrt{ {25+ 40}}[/tex]

taking + ve

-10x=5+[tex] \sqrt{ {65}}[/tex]

x=-½-[tex] \frac {\sqrt{ {65}}}{10}[/tex]

taking -ve

x=-½+[tex] \frac {\sqrt{ {65}}}{10}[/tex]

Answer:

B

Step-by-step explanation:

Answer:

30%

Step-by-step explanation:

The percentage of something can be calculated by dividing that number by the total amount. In this scenario, you divide 12 by 40

12/40 = 0.3

Or, you could do it the way without doing the math and simplifying to make it easier

12/40 = 6/20 = 3/10 = 0.3 = 30%

Answer:

14.91

Step-by-step explanation:

Have a good day :)

Answer:

The answer is 14.91

Step-by-step explanation:

To find the answer we must first see how many times 5 can go into 74.55.  Since 5 x 14.91 = 74.55, then it means that our answer is 14.91.  

Answer:

I think it is 5

Answer:Darla's fraction of the windows was 4/9 greater than Cindy's.

Step-by-step explanation:

Fraction of the window washed by Darla =5/9

Fraction of the window washed by Cindy=1/9

To find How much greater  Darla's fraction of the windows was than Cindy's, we subtract ,

5/9-1/9=4/9

Thetrefore, Darla's fraction of the windows was 4/9 greater than Cindy's.

Answer:

4/9

Step-by-step explanation:

Answer:

Our equation is:

[tex]\displaystyle \sin(40^\circ)=\frac{w}{120}[/tex]

Solving this yields that the width of the river is about 77 feet.

Step-by-step explanation:

Part A)

We know that McNeal is 120 feet from the tree. This is the hypotenuse.

And we want to find the width of the river, which is the side opposite from our angle.

Since we want to find the side opposite to our angle and we are given the hypotenuse, we will use the sine ratio:

[tex]\displaystyle \sin(\theta^\circ)=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]

Our angle is 40°.

The opposite side is unknown. We can let this be w to represent width.

The hypotenuse is 120 feet. Hence, our equation is:

[tex]\displaystyle \sin(40^\circ)=\frac{w}{120}[/tex]

Part B)

Solve for w:

[tex]w=120\sin(40^\circ)[/tex]

Use a calculator:

[tex]w=77.1345...\approx 77\text{ feet}[/tex]

The width of the river is about 77 feet.

Answer:15

Step-by-step explanation:

Answer:

See attached image for the table.

Step-by-step explanation:

The table shows all 4 possible truth values for statements p and q .

p  v  q  is true if one or both of the p, q are true.

Finally, an implication (if-then) is true in every case except when the first statement (hypothesis) is true and the second (conclusion) is false.

Answer:

B

Step-by-step explanation:

The sign means greater than or equal to and the car need to travel at least 570 miles.

Hope it helps, sorry if it's not right :>

Answer:

Step-by-step explanation:

b

Answer:

130

Step-by-step explanation:

Angle B = 180 - Angle A

180 - 50 = 130

Answer:

The answer is 130 degrees.

Step-by-step explanation:

A+B should be 180, so with A being 50; B has to be 130.

Step-by-step explanation:

Answer:

Option 4

Step-by-step explanation:

So formula of voulme of the cube is a³

We have the side length is 6x

So sub the value in formula we get 216x³

Answer:

See below

Step-by-step explanation:

[tex] m\angle 1 = 180\degree - (90+39)\degree = 51\degree [/tex]

[tex] m\angle 2= 90\degree -51\degree =39\degree [/tex]

[tex] m\angle 3= 90\degree[/tex]

[tex] m\angle 4 = 180\degree - (90+39)\degree = 51\degree [/tex]

[tex] m\angle 5 = 180\degree - (129+34)\degree = 17\degree [/tex]

[tex] m\angle 6 = 90\degree +39\degree = 129\degree [/tex]

Answer: 50 minutes

Answer choices:

20 minutes

70 minutes

50 minutes

30 minutes

It will take 68.8 minutes for a 100-gram sample of francium-223 to decay to 20 grams.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

The decay of a radioactive substance can be modeled by the exponential decay formula:

[tex]N(t) = N_0 ~ e^{-ct}[/tex]

where:

N(t) is the amount of the substance at time t

N0 is the initial amount of the substance

c is the decay constant

t is the time elapsed since the initial measurement

The half-life of francium-223 is about 22 minutes.

t = 22

Now,

0.5 = [tex]e^{-c \times22}[/tex]

ln (0.5) = -c x 22

c = ln(2) / 22

c ≈ 0.03159

Now,

We can use the formula to solve for the time it takes for the sample to decay from 100 grams to 20 grams.

20 = 100 x [tex]e^{-0.03159t}[/tex]

[tex]e^{-0.03159t}[/tex] = 0.2

-0.03159 t = ln(0.2)

t = ln(0.2) / (-0.03159)

t = 68.8 minutes

Therefore,

It will take 68.8 minutes for a 100-gram sample of francium-223 to decay to 20 grams.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

Answer:

B.   x = -4

Step-by-step explanation:

- 7x - 35 = -7

add 35 to both sides

-7x = 28

Divde both sides by -7

x = -4

Answer: X = -4

Step-by-step explanation:

-7x - 35 = -7

-7x = -7 + 35

-7x = 28

x = -4

Answer:

The number 28 should be written in the red box.

Answer:

you need common denominater so 10/10 - 9/10 =1/10 thats how much of her money she used.

Step-by-step explanation:

Answer:

Solve by factoring.

1. 2x^2+9x+26=-4x+5

2x²+9x+4x+26-5=0

2x²+13x+21=0

doing middle term factorization

2x²+7x+6x+21=0

x(2x+7)+3(2x+7)=0

(2x+7)(x+3)=0

either

x=-7/2

or

x=-3.

2.

3x^2-6x-4=0

comparing above equation with ax²+bx+c=0

we get

a=3

b=-6

c=-4

By using quadratic equation

x=[tex] \frac{ - b±\sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

Substituting value

x=[tex] \frac{ 6±\sqrt{ {-6}^{2} - 4*3*-4 }}{2*-4} [/tex]

x=[tex] \frac{ 6±\sqrt{ {84}}}{-8} [/tex]

x=[tex] \frac{ 6±2\sqrt{ {21}}}{-8} [/tex]

-8x=6±2√21

taking positive

-8x=6+2√21

x=[tex] \frac{6+2√21}{-8} [/tex]

x=-[tex] \frac{3+√21}{4} [/tex]

taking negative

-8x=6-2√21

x=[tex] \frac{6-2√21}{-8} [/tex]

x=-[tex] \frac{3-√21}{4} [/tex]

Answer:

x = -17/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

3x + 5(2 + x) = 4x - 7

Step 2: Solve for x

Answer:

x=[tex]\frac{-17}{4}[/tex]

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x+5(2+x)=4x−7

3x+(5)(2)+(5)(x)=4x+−7(Distribute)

3x+10+5x=4x+−7

(3x+5x)+(10)=4x−7(Combine Like Terms)

8x+10=4x−7

8x+10=4x−7

Step 2: Subtract 4x from both sides.

8x+10−4x=4x−7−4x

4x+10=−7

Step 3: Subtract 10 from both sides.

4x+10−10=−7−10

4x=−17

Step 4: Divide both sides by 4.

[tex]\frac{4x}{4}[/tex]=[tex]\frac{-17}{4}[/tex]

x=[tex]\frac{-17}{4}[/tex]

Answer:

The Slope Equation = y2 -y1 over X2 - X1

Step-by-step explanation:

1.) Pick every graph

2.) Pick any 2 point in the graph

3.) do the slope equation

4.) the answers must be equal  

Answer:

- the pressure will decrease

(volume is doubled ,the pressure reduced by half).

Step-by-step explanation:

P_1 V_1=P_2 V_2

This equation shows that, as volume increases, the pressure of the gas decreases in proportion.

Similarly, as volume decreases, the pressure of the gas increases.