what is the least whole number that has the remainders 10,12, and 15 when divided by 16, 18. and 21, respectively

Answer:

x=-7

Step-by-step explanation:

[tex]x = 21 \div - 3 \\ x = - 7[/tex]

Answer: -7

Step-by-step explanation:

Move all terms that don't contain

x

x

to the right side and solve

Answer:

the first easy assignment for aii the students

the first day of school is go in to be in a while

Step-by-step explanation:

Answer:

The 16-oz bottle is a better buy

Step-by-step explanation:

Find the better buy by finding which one has a lower price per ounce:

Calculate the price per ounce of both bottles by dividing the cost by the number of ounces

5.78/16

= 0.36

3.97/8

= 0.5

Since 0.36 is smaller than 0.5, the 16 ounce bottle is a better buy.

Answer:

The 16-oz bottle of parmesan cheese is the better buy.

Step-by-step explanation:

It is the better buy because, if you compare the prices and the ounces, I say that the 16-oz is the best buy.

9514 1404 393

Answer:

  P = (8, 0)

Step-by-step explanation:

The coordinates of point P are the weighted average of the end points. The weights are the reverse of the segment divisions.

  P = (2/5)A +(3/5)B

  P = (2(-4, -6) +3(16, 4))/5 = (-8+48, -12 +12)/5 = (40, 0)/5

  P = (8, 0)

Answer:

100

i hope it helps

Answer:

100

Step-by-step explanation:

5 is the answer

here we have hypoteaus and base

so by using pythagoreaus theorem

p^2 = h^2 - b^2

p^2 = 13^2 - 12^2

p^2 = 169 - 144

p^2 = 25

p = root under 25

p = 5

Answer:

5 cm

Step-by-step explanation:

A^2+B^2=C^2

12^2+B^2=13^2

144+B^2=169 (You have to subtract 144 from both sides to get B^2 by its self)

-144       = -144

B^2= 25 (To get rid of the square you have to find the square root)

Square root of 25 = 5cm

Answer:

43+ (7 - 3) * 2 = 51

Step-by-step explanation:

43 + (7 - 3) x 2

First, you want to do what is in the parenthesis

43 + 4 x 2

Now, you want to multiply.

43 + 8

Next, you simplify.

51

Answer:

7

Step-by-step explanation:

F(x) =2x+1

f(x) =6+1

Answer:

Step-by-step explanation:

b = 10

Substitute b in every equation below and compare the results

A. 2(b + 4) = 16

B.  2(b + 2) = 40

C. 3(b - 2) = 24

D. 2(8 + b) = 42

E. 3(b - 4) = 20

Answer:

C. 3(b - 2) = 24..

Answer:

$492 per year

Step-by-step explanation:

The first step we take towards solving this question is to add all the numbers we were given as money spent(excluding that of the month)

$20 + $10 + $18 + $3 = $41 per month

This means that a total of $41 was spent per month.

Going further, since we're told it's 12 months, we then multiply it by 12, and thus, we have

$41 * 12 = $492 per year

Therefore, the total money spent is $492 per 12 months, or per year

Answer:

The answer is below

Step-by-step explanation:

Find the dimensions of the rectangle of maximum area with sides parallel to the coordinate axes that can be inscribed in the ellipse 4x² + 16y² = 16

Solution:

Given that the ellipse has the equation: 4x² + 16y² = 16

let us make x the subject of the formula, hence:

4x² + 16y² = 16

4x² = 16 - 16y²

Dividing through by 4:

x² = (16 - 16y²)/4

x² = 4 - 4y²

Taking square root of both sides:

[tex]x=\sqrt{4-4y^2 }\\[/tex]

The points of the rectangle vertices is at (x,y), (-x,y), (x,-y), (-x,-y). Hence the rectangle has length and width of 2x and 2y.

The area of a rectangle inscribed inside an ellipse is given by:

Area (A) = 4xy

A = 4xy

[tex]A=4(\sqrt{4-4y^2} )y\\\\A=4y\sqrt{4-4y^2}=4\sqrt{4y^2-4y^4} \\\\The\ maximum\ area\ of\ the\ rectangle\ is\ at\ \frac{dA}{dy}=0\\\\ \frac{dA}{dy}=4(\frac{4-8y^2}{\sqrt{4-4y^2} } )\\\\4(\frac{4-8y^2}{\sqrt{4-4y^2} } )=0\\\\4-8y^2=0\\\\8y^2=4\\\\y^2=1/2\\\\y=\frac{1}{\sqrt{2} }\\\\x=\sqrt{4-4(\frac{1}{\sqrt{2} })^2}=\sqrt{2}[/tex]

Therefore the length = 2x = 2√2, the width = 2y = 2/√2

Answer:

-0.003 x 2+.195 x -.483=0.  -0.003x^2+.195x-.483=0     2,3,3,3,5,3,2,3,

Prime factors. 1000,200,1000

square root of (x-(65/2))2 is (x-(65/2))2/2 = (x-(65/2))1 = x-(65/2)

Step-by-step explanation:

−0.003 x 2+.195 x −.483=0. Enter an ... -0.003x^2+.195x-.483=0 ... {Left,Right}. 2, 3, 3, 3. 5, 3, 2, 3. Product of all. Prime Factors, 1000, 200, 1000 ... Step 7 : ... Note that the square root of (x-(65/2))2 is (x-(65/2))2/2 = (x-(65/2))1 = x-(65/2)

Answer:

175% of 4 is 7

Step-by-step explanation:

i hope this helps

Answer:

1) cant solve, you accidentally cropped out the bottom

2) ∠ABC=60°

3) x=25°

Step-by-step explanation:

1) cant solve, you accidentally cropped out the bottom. Let me know what the figure opposite the angle (5x-70) is and I can figure out the answer.

2)∠ABC=(45+15) (VERTICALLY OPPOSITE)

∠ABC=60°

(x=12.5°)

3) (x) + (3x-10) =90

4x -10 = 90

4x=100

x=25°

Answer: y = 5/2x - 4

Step-by-step explanation:

the equation is y = ax + b (a ≠ 0)

because the slope of the line is 5/2 => a = 5/2

               the line passes through (0; -4) => -4 = b

=> the equation is y = 5/2.x - 4

Answer:

Parallel means they have the same slope so, y=3x-8

Answer:

Fraction of cars 4/15

Total number of vehicles 15

4 is the numerator and 15 is the denominator

Step-by-step explanation:

Answer:

x < -2.5

Step-by-step explanation:

N/A

Answer:

Step-by-step explanation:

After buying the ticket, the amount with him = 50 - 7 = 43

p ≤ 50 - 7

p ≤ 43

Answer:

p≤ 43

Step-by-step explanation:

50-7=43

so now Mr.smith will have $43 to spend

p is less than or equal to 43

Answer:

1) 2x+1 = 2x-4

2) 6x+2=3(2x+1)

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

Step-by-step explanation:

We need to give three examples of equations where there would be no solution.

First we will define equation with no solution.

If solving an equation you get the result as 3=5 but 3 is not equal to 5, so the equation has no solution.

Examples of equations where there would be no solution

1) 2x+1 = 2x-4

2x-2x=-4-1

0=-1 ( false)

So, the equation has no solution.

2) 6x+2=3(2x+1)

6x+2=6x+1

6x-6x=1-2

0=-2 (false)

So, the equation has no solution.

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

-4x-5=-4x+2

-4x+4x=2+5

0=7 (false)

So, the equation has no solution.

Answer:512

Step-by-step explanation:

Answer:

512

Step-by-step explanation:

8*8*8=512

Answer:

$297

Step-by-step explanation:

220 increase 35% =

220 × (1 + 35%) = 220 × (1 + 0.35) = 297

Answer:

1

Step-by-step explanation:

2(3/4)-1/2=

The 2 cancels out the 4 making it 3/2.

3/2-1/2=2/2

=1

Answer:

8/15 and 3/10

Answer:

You need two equations: one for solution amounts and one for alcohol amounts.

Step-by-step explanation:

90 = X + Y

45 = (0.6)/X + (0.3)Y

Here X = amount of 60 % solution and Y = amount of 30 percent solution. Note that percentages have been converted to decimal amounts in the second equation.

From here you have to solve two equations with two unknowns. Easiest to solve first equation for X = 90 - Y, then substitute into second equation. this get you one equation in one unknown. Solving you you will get

X = 30 liters and Y = 60 liters.