What whole number is 13 divided by 1 2/3 closest to?

Answer:

-7

Step-by-step explanation:

2x +3 =x-4

2x - x =-4 - 7

x=-7

Answer:

The greatest common factor of 60 and 60 is well 60 because it is the highest number divisible by both numbers.

Answer:

0.76

Step-by-step explanation:

0.26 + 0.5

= 0.76

Answer:

3y - 2x

Step-by-step explanation:

Answer: Maximum area = 200m

Dimensions:

Length = 10m

Width = 20m

Such that there is only one side of 20m fenced because the other side of 20m is against the rock wall.

Step-by-step explanation:

We have the next problem.

Suppose that the vegetable area is a rectangle of length L and width W.

Such that the width side coincides with the rock wall, then we have that:

The perimeter is:

P = 2*L + 2*W

But because one of the width sides coincides with the wall, the amount of fence needed will be:

P = 2*L + W = 40m

And the area can be written as:

A = W*L

We want to find the maximum area that we can have.

First, write our two equations:

40m = 2*L + W

A = W*L

First we must isolate one of the variables in the first equation, and replace it into the second equation:

40m - 2*L = W.

then:

A = (40m - 2*L)*L = 40m*L - 2*L^2

We can write this as a quadratic equation:

A(L) = -2*L^2 + 40m*L

Now, notice that it has a leading coefficient negative, then the maximum of the area function will be at the vertex of the quadratic equation.

For a quadratic equation:

f(x) = a*x^2 + b*x + c

The vertex is at:

x = -b/2a

and the point is (-b/2a, f(-b/2a))

In this case we have:

b = 40m

a = -2

Then:

we must evaluate the area function in:

L = -40m/(-2*2) = 10m

A(L) = -2*L^2 + 40m*L

A(10m) = -2*100m^2 + 400m = 200m

Now we can find the width using one of the above equations:

W = 40m - 2*L = 40m - 2*10m = 20m

Then the dimensions that the farmer should use are:

Two sides of length 10m, and one side of length 20m

Answer:

The radius of the hole is 0.42 feet

Step-by-step explanation:

Let us revise the rule of the volume of a cylinder

→ V = πr²h, where

→ V is the volume of the cylinder in a cubic unit

→ r is the radius of the base of the cylinder

→ h is the height of the cylinder

Let us solve our question

→ The volume of the cylinder is 3800 cubic feet

→ The height of the cylinder is 1.3 miles

Very Important Note: dimensions must have the same unit

→ Change the mile to feet

→ There are 5280 feet in 1 mile

→ Multiply 1.3 miles by 5280 to change it to feet

→ The height = 1.3 × 5280 = 6864 feet

Let us substitute the values of V and h in the rule above

∵ V = πr²h

∵ V = 3800 ft³

∵ h = 6864 ft

∴ 3800 = πr²(6864)

→ Divide both sides by 6864π to find r²

∴ r² = 0.1762205081

→ take √  for both sides to find r

∴ r = 0.4197862648

→ Round it to the nearest hundredth

∴ r = 0.42 ft

The radius of the hole is 0.42 feet

Answer:

Yes, this is a function

Step-by-step explanation:

ok

Answer: The idea of asymptote applied in real life situations are often used used in designing. Like for example in designing airplanes an asymptote for speed of an airplane use to be the speed of sound.

Step-by-step explanation:

Answer:

5x + 11 - 8x - 14 = -3x -3

Step-by-step explanation:

5x + 11 - 8x - 14

5x - 8x + 11 - 14

-3x -3

5x + 11 - 8x - 14 = -3x -3

Answer:

if the above equation is equal to 0 then value of x=-1

Answer:28.2753

Step-by-step explanation:

Answer:

Answer is $0.75

Step-by-step explanation:

$0.75x60=$45

Answer:

0.75 :)

Step-by-step explanation:

Divide 45 by 60 which gives you 0.75. To check your answer, multiply 0.75 by 60 then add that answer to -45. So, the answer is 0.75

Answer:

3.9

Step-by-step explanation:

Answer:

hehehheheyeu7777777yggg

Answer:

,

Step-by-step explanation:

Answer:

-192

Step-by-step explanation:

3×[32-(4×4)×6]

3×[32-(16)×6]

3×[32-(96)]

3×(-64)

-192

Answer:

8x+12=180

8x=168

x=21

3(21)+20= 83 degrees

5(21)-8= 97 degrees

Step-by-step explanation:

5x-8 and 3x+20 are supplementary angles meaning that when added together they equal to 180 degrees. Solve for x and then use to find angle

Answer:

3^8

Multiply the exponents

Answer:

B. Their is no error. This is a conclusion.

Step-by-step explanation I got it right on khan

Helena didn't make any error in her conclusion as the transformation is illustrated accurately.

From the information given, it was stated that Helena was curious if the quadrilaterals were congruent.

In this case, it is not possible to map the quadrilaterals onto each other using a sequence of rigid transformations, so the quadrilaterals are not congruent.

Therefore, no error is made.

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Answer:

(-1, 0), (2, 0), (3, 0)

Step-by-step explanation:

x-intercept of a line is defined by a point where y = 0.

So the point in the form of (x, 0) will be the x-intercept of the given continuous function.

From the table attached,

For x = -1, f(-1) = 0

For x = 2, f(2) = 0

For x = 3, f(3) = 0

Points (-1, 0), (2, 0) and (3, 0) are the x-intercepts of the continuous function f(x).

Answer:

A by multiplying 2.52 by 4

Step-by-step explanation:

Have a great day!

Answer:

C) 25,30,35,40

Step-by-step explanation:

All of those numbers can be divided by 5, with an even quotient.

~theLocoCoco

Answer: C

Step-by-step explanation:

The Wilsons' monthly mortgage payment will be approximately $9,485.16.

To calculate the monthly payments for the Wilsons' mortgage, we need to follow these steps:

Convert the annual interest rate to a monthly interest rate using the formula APR(P) = P + 0.02.

Plug the monthly interest rate into the formula m(r) = 128,000 * (r / (1 - (1 + r)⁽⁻³⁶⁰⁾)).

Let's perform the calculations:

Step 1: Convert the annual interest rate to a monthly interest rate

Let's assume the prime interest rate (P) published by the Federal Reserve is 4.5% (0.045 as a decimal).

APR(P) = P + 0.02

APR(0.045) = 0.045 + 0.02

APR(0.045) = 0.065 (monthly interest rate as a decimal)

Step 2: Calculate the monthly payments (m(r)) for a loan of $128,000 with the monthly interest rate (r) obtained from Step 1.

m(r) = 128,000 * (r / (1 - (1 + r)⁽⁻³⁶⁰⁾))

m(0.065) = 128,000 * (0.065 / (1 - (1 + 0.065)⁽⁻³⁶⁰⁾))

Now, let's calculate the monthly payments (m(r)):

m(0.065) = 128,000 * (0.065 / (1 - (1 + 0.065)⁽⁻³⁶⁰⁾))

m(0.065) = 128,000 * (0.065 / (1 - (1.065)⁽⁻³⁶⁰⁾))

m(0.065) = 128,000 * (0.065 / (1 - 0.124823)) (Approximately, (1.065)⁽⁻³⁶⁰⁾ ≈ 0.124823)

m(0.065) = 128,000 * (0.065 / 0.875177)

m(0.065) = 128,000 * 0.074285 (Approximately, 0.065 / 0.875177 ≈ 0.074285)

m(0.065) = 9,485.16

The Wilsons' monthly mortgage payment will be approximately $9,485.16.

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Answer:

y=-1/2x-3

Step-by-step explanation:

Answer:

y = -1/2x -3

Step-by-step explanation:

so I got the slope of these two points: (-8,1) and (-6,0) which is:

y₂ - y₁  / x₂ - x₁ = (0-1)/(-6+8) = -1/2

then from the graph it is visible that the y-intercept is -3

so with both of this information:

y = -1/2x - 3

Answer:

To point out an internal citation to the reader

Step-by-step explanation:

A signal phrase is a phrase, clause, or even sentence which leads into a quotation or statistic. These generally include the speaker/author's name and some justification for using him or her as an expert in this context; it may also help establish the context for the quotation...

Answer: 51°F

Step-by-step explanation:

72 - 21 = 51

Answer:

The change in temperature would be 51 degrees Fahrenheit.(51°F)

step by step:

i say this because it was 21 degrees on Monday and to get to 71 degrees on Tuesday you have to add 51 degrees. and so that change is 51 degrees.

hope this helps  :)

Answer:

x = -1

Step-by-step explanation:

Step 1: Write equation

4(x + 3) = -8x

Step 2: Solve for x

Distribute 4: 4x + 12 = -8x

Add 8x on both sides: 12x + 12 = 0

Subtract 12 on both sides: 12x = -12

Divide both sides by 12: x = -1

Step 3: Check

Plug in x to verify if it's a solution.

4(-1 + 3) = -8(-1)

4(2) = 8

8 = 8

Answer: 5659.2

Step-by-step explanation:

multiply separately first

4.9 *1024 =5017.6

6041.6+5017.6=5659.2

Answer:

4. f(-2)=g(-2)

Step-by-step explanation:

Both lines intersect at the x-value of -2, thus they have the same y-value.

Answer:

88.6

Step-by-step explanation:

A=4(pi)r^2/3

D=9.2 : r=4.6

A=4(3.14)(4.6^2)/3=88.5898667