Jon paid $20 towards the cost of an $80 sweater. Write a numeric equation to show how much he still owes on the sweater.

Answers

Answer 1

Answer:

Answer:

$80 - $20 = $60 left.

Step-by-step explanation:

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Im supposed to simply this into a rational number how do i do this?

Answers

I don’t know it should be correct tell me if iam wrong

A student is deriving the quadratic formula. Her first two steps are shown. Step 1: –c = ax2 + bx Step 2: -c = a[x^2+b/ax] Which best explains or justifies Step 2? division property of equality factoring the binomial completing the square subtraction property of equality

Answers

Given choices:

(1) division property of equality

(2) factoring the binomial

(3)completing the square

(4)subtraction property of equality

Answer : (2) factoring the binomial

Step 1: $-c = ax^2 + bx$

Step 2: $-c = a[x^2+(b)/(a) x]$

In step 2, 'a' is taken out from $ax^2 + bx$ . when we take out 'a' we divide each term by 'a'. so it becomes $a[x^2+(b)/(a) x]$

'a' is factored out in step 2. we call it as factoring a binomial.

Answer:

answer is B

Step-by-step explanation:

Which of the following numbers can be expressed as repeating decimals?2 over 9, 3 over 8, 5 over 6, 5 over 4

3 over 8 and 5 over 6
2 over 9 and 5 over 6
2 over 9 and 5 over 4
3 over 8 and 5 over 4

Answers

the correct answer is 2 over 9 and 5 over 6

Answer:

2/9 and 5/6

Step-by-step explanation:

divide all the fractions numerator and denominator

and find if the number that is found is repeating

if both fractions are then that is the answer

The variable a is the length of the ladder. The variable h is the height of the ladder's top at time t, and x is the distance from the wall to the ladder's bottom. Suppose that the length of the ladder is 5.0 meters and the top is sliding down the wall at a rate of 0.4 m/s. Calculate dx dt when h = 3.1.

Answers

Answer:

dx/dt= 0.2608 at h= 3.1 m

Step-by-step explanation:

a is the length of the ladder. a=5

by pythagorus theorem

$x^2 = a^2-h^2$

differentiating with respect to t we get

$x(dx)/(dt) = -h(dh)/(dt)$ ......1

The variable h is the height of the ladder's top at time t, and x is the distance from the wall to the ladder's bottom

At h= 3.1

x^2= 6^2-3.1^2 = 9.1×2.9

x= 5.1371 m

given $(dh)/(dt) =-0.4$

putting values in 1 to get dx/dt

$5.1371(dx)/(dt) = 3.1×04$ .

dx/dt= 0.2608 at h= 3.1 m

Answer:

$(dx)/(dt)$ = 0.3

Step-by-step explanation:

The given situation forms a right triangle. We have to use the Pythagorean theorem's statement to solve this problem.

The theorem states that the sum of the squares of the legs is equal to the square of the hypotenuse.

Here Hypotenuse = length of the ladder (a)

Legs are h and x.

So, using the Pythagorean theorem, we get

$a^2 = h^2 + x^2$ -------------(1)

We are given a = 5 meters, $(dh)/(dt)$ = 0.4

Now plug in a = 5 in the above equation, we get

$5^2 = h^2 + x^2$

25 = $h^2 + x^2$ -----(2)

To find the $(dx)/(dt)$ . Differentiate the above equation with respective to the time t, we get

$2h(dh)/(dt) + 2x(dx)/(dt) = 0\n$ -------(3)

We know that h = 3.1 and $(dh)/(dt)$ = 0.4.

We can find x, by plug in h = 3.1 from the equation (2)

25 = $3.1^2 + x^2$

$x^2 = 25 - 9.61$

x = 3.9

Now plug h = 3.1, x = 3.9 and $(dh)/(dt)$ = -0.4 in the derivative (3) and find dx/dt

Here we represents $(dh)/(dt)$ = -0.4 because it is sliding down

2(3.1)(-0.4) + 2(3.9) $(dx)/(dt)$ = 0

-2.48 + 7.8 $(dx)/(dt)$ = 0

7.8 $(dx)/(dt)$ = -2.48

$(dx)/(dt)$ = -2.48 ÷ -7.8

$(dx)/(dt)$ = 0.3179

When we rounding off to the nearest tenths place, we get

$(dx)/(dt)$ = 0.3

What is the area of the room in this diagram? 12 feet length 13 feet wide

Answers

To find the area of this you have to do 12 times 13 and that would give you 156 feet squared

156 is the answer when you need to find area you always do this l×w that means length times width so basically the two numbers multiplied by each other. Length times width always always gives area.

Sheila has 10 1/2 pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 2 1/4 pounds. How many containers does she need? Complete the explanation.