A market sells bananas for $0.69 per pound. Which expression represents the cost, in dollars, of p pounds of bananas?
StartFraction p over 69 EndFraction
0.69 p
StartFraction p over 0.69 EndFraction
69p

Answer:

[tex]\Huge\boxed{x=50.3}[/tex]

Step-by-step explanation:

Hello There!

Once again here are the Trigonometric Ratios

Sin = opposite divided by hypotenuse

Cos = adjacent divided by hypotenuse

Tan = opposite divided by adjacent

We need to find the measure of angle O

We are given the opposite side length (89) and the adjacent side length (74)

This corresponds with tangent so we are going to use tangent to solve for x

Now we create an equation: (remember tangent = opposite divided by adjacent)

[tex]tan(x)=\frac{89}{74} \\\frac{89}{74} =1.202702703\\[/tex]

now we have

[tex]tan(x)=1.202702703[/tex]

once again we want to isolate the variable (x)

To do so we need to get rid of tan by taking the inverse of tan (arctan^-1) and applying that to each side

[tex]arctan^-^1(tan(x))=x\\arctan^-^1(1.202702703)=50.25780917[/tex]

finally we want to round to the nearest tenth

50.25

its a five so we raise the 2 to a 3

and we're left with

x = 50.3

Answer:

In geometry, the circumference (from Latin circumferences, meaning "carrying around") of a circle is the (linear) distance around it. That is, the circumference would be the length of the circle The area of a circle is pi (approximately 3.14) times the radius of the circle squared.

Answer:

it is the 3rd one to the bottem

o.7 - 0.31 = 0.39

Step-by-step explanation:

Answer:

a. 5

b. -10

Step-by-step explanation:

i hope this helps :)

Answer:

A) 5   B) -10

Step-by-step explanation:

A) 12-7 = 5

Answer:

5

Step-by-step explanation:

AC=√(3^2+4^2)=√(9+16)=√(25)=5

The three methods most commonly used to solve systems of equation are substitution, elimination and augmented matrices . Substitution and elimination are simple methods that can effectively solve most systems of two equations in a few straightforward steps.

the first step in solving an equation is to make the equation as simple as possible. This means that you need to start by using the golden rule of equation solving and the order of operations, PEMDAS, to make the expression on each side of the equals sign as simple as possible.

Answer:

The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently. In this example, the ordered pair (4,7) is the solution to the system of linear equations.

Step-by-step explanation:

Answer:

7 is B

8 is C

9 is D

Step-by-step explanation:

Hey There!

So as you can see in the first image the slope of a line that passes through the coordinates (-3,1) and (5,-7) is -1

As you can see in the second image the equation of the line that passes through the points (-2,5) and (3,15) is y=2x+9

The last one is D because the equation is a=2b-3

The statement that says a is equal to 3 LESS then TWICE B is correct cause its saying that 2b - 3 is equal to a

Answer:

She already has 5 and the total is 32 so she has to make 28 friendship bracelets. Bracelets in packages of 4 and she buys 5 packages which is 20 so no, she doesn't have enough bracelets if she buys 5 packages.

Step-by-step explanation:

Answer:

23 years.

Step-by-step explanation:

Answer:

Step-by-step explanation:

x= 180-110(angles on a straight line)

x= 70

y=x=70 (alternate angles)

z= 110(alternate angles)

Answer:

143ft

Step-by-step explanation:

12in is 1 foot and 13x11 (11x13) is 143

Answer:

140x^2−384x+37

Step-by-step explanation:

(10x+−1)(14x+−37)

=(10x)(14x)+(10x)(−37)+(−1)(14x)+(−1)(−37)

=140x^2−370x−14x+37

Answer:

X=9

Step-by-step explanation:

Pull out like factors :

  -4x + 36  =   -4 • (x - 9)

 Solve :    -4   =  0

This equation has no solution.

A a non-zero constant never equals zero.

 Solve  :    x-9 = 0

Add  9  to both sides of the equation :

                     x = 9

9514 1404 393

Answer:

  a) $2.40

  b) $16.80

  c) y = -2.40x +16.80

Step-by-step explanation:

a. Dylan's daily spending is the opposite of the slope of the line on the graph. That slope can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (4.8 -12)/(5 -2) = -7.2/3 = -2.4

Dylan spends $2.40 at lunch every day.

__

b. The y-intercept can be found from the formula ...

  b = y1 -m(x1)

  b = 12 -(-2.40)(2) = 16.80

Dylan's dad gives him $16.80 at the beginning of each week.

__

c. The slope-intercept equation is ...

  y = mx + b

  y = -2.40x +16.80

Answer:

16m^2

Step-by-step explanation:

Area of the quadrilateral = 2 * area of the traingle

are of the triangle = 1/2 * base * height

Area of 1 triangle = 1/2 * 8 * 2

Area of 1 triangle =8m^2

Area of the quadrilateral = 2 * 8

Area of the quadrilateral = 16m^2

Answer:

39/22 = 1 17/22

Step-by-step explanation:

Attached below :

I hope im right!!

Answer:

x=107/2, y=-40. (107/2, -40).

Step-by-step explanation:

y=-31-9=-40

2x+3(-40)=-13

2x-120=-13

2x=-13+120

2x=107

x=107/2

Answer:

x = -37.5

Step-by-step explanation:

Set up a proportion so -5/12.5 = 15/x

Solve for x so -5x = 15(12.5) so -5x = 187.5 so x = -37.5

Answer:

A

Step-by-step explanation:

Given

x - 3 = 2x + 14 ( subtract x from both sides )

- 3 = x + 14 ( subtract 14 from both sides )

- 17 = x → A

Answer:

D

Step-by-step explanation:

we collect like terms to remain with

x-2x =14+3

-x =17

divide both sides by -1 to remain with

X = 17

Answer:

Airlines would use women instead of men because women usually have wider hips compared to the average men. So if they give enough room for the average women, then there will be enough room for the average man.

Step-by-step explanation:

Answer:

The  fraction of the children in the group that contains both dog and a cat is [tex]\frac{17}{12}[/tex]

Step-by-step explanation:

The fraction of the children in the group that contains both dog and a cat is presented below:

= Pet dog + cat

[tex]= \frac{2}{3} + \frac{3}{4}\\\\= \frac{8 + 9}{12} \\\\= \frac{17}{12}[/tex]

Hence, the fraction of the children in the group that contains both dog and a cat is [tex]\frac{17}{12}[/tex]

Answer:

3 points = 6

2 points = 32

Step-by-step explanation:

Points scored = 82

Let

Number of 2 points goals = x

Number of 3 point goals = y

2x + 3y = 82 - - (1)

x = 5y + 2 - - - (2)

(1) Becomes :

2(5y + 2) + 3y = 82

10y + 4 + 3y = 82

13y = 82 - 4

13y = 78

y = 78/13

y = 6

x = 5y + 2

x = 5(6) + 2

x = 30 + 2

x = 32

Answer:

33

Step-by-step explanation:

Answer:

Pedro: 1,482 hits

Ricky: 1,202 hits

Step-by-step explanation:

p + r = 2,684

p = r + 280

r + 280 + r = 2,684

2r = 2,404

r = 1,202

p = 1,202 + 280 = 1,482

Answer:

After about 9 minutes.

Step-by-step explanation:

We can write an exponential function to model the decay of Herodium-100.

We are given that it decreases by half every minute.

The standard exponential function is given by:

[tex]f(m)=A(r)^m[/tex]

Where A is the initial amount, r is the rate, and m is the rate (in this case, in minutes).

Mathman initially has 2000 mL of Herodium-100. Therefore, A = 2000.

And since it decreases by half every minute, r = 1/2. Thus:

[tex]\displaystyle f(m)=2000\Big(\frac{1}{2}\Big)^m[/tex]

Mathman needs to rest when the Herodium-100 levels drop to 4 mL. Therefore, we can substitute 4 for f(m) and solve for m:

[tex]\displaystyle 4=2000\Big(\frac{1}{2}\Big)^m[/tex]

Solve for m. Divide both sides by 2000:

[tex]\displaystyle \frac{4}{2000}=\frac{1}{500}=\Big(\frac{1}{2}\Big)^m[/tex]

We can take the natural log of both sides:

[tex]\displaystyle \ln\Big(\frac{1}{500}\Big)=\ln\Big(\frac{1}{2}^m\Big)[/tex]

By logarithm properties:

[tex]\displaystyle \ln\Big(\frac{1}{500}\Big)=m\ln\Big(\frac{1}{2}\Big)[/tex]

Therefore:

[tex]\displaystyle m=\frac{\ln(1/500)}{\ln(1/2)}\approx 8.9657\approx 9\text{ minutes}[/tex]

Mathman will have to rest and replenish after 9 minutes.