Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. If 2/5 of the caramel apples are covered in sprinkles,
how many caramel apples will have sprinkles?

Answer:

4

Step-by-step explanation:

It is impossible to have a triangle with sides 10cm 12cm, and 2cm.

According to the triangle inequality theorem, a triangle's third side is bigger than the sum of any two of its sides.

This theorem helps us to determine without carrying out the construction of a triangle that can be drawn using the provided dimensions.

If a, b, and c are the lengths of a triangle, according to Triangle Inequality Theorem,  

=> a + b > c  

=> b + c > a

=> a + c > b

Here we have

The sides of the triangle are 10cm 12cm and 2cm

According to Triangle Inequality Theorem

=> 10 + 12 > 2    ( which is true )

=> 12 + 2  > 10   ( which is true )

=>  2 + 10 > 12   ( which is not true)

From the above calculations,

The Sum of two lengths (2 cm and 10 cm ) is not greater than the third (12 cm)

Therefore,

It is impossible to have a triangle with sides 10cm 12cm, and 2cm.      

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Answer:

x=3

Step-by-step explanation:

Thus, the given set in spherical coordinates can be described as: ρ = 8, 0 ≤ θ ≤ π/2, 0 ≤ φ ≤ 2π.

The given set can be described in spherical coordinates as follows: ρ² = 64 and z ≥ 0, where ρ (rho) is the radial distance, θ (theta) is the polar angle, and φ (phi) is the azimuthal angle.
In spherical coordinates, the relationship between Cartesian and spherical coordinates is:
x = ρ × sin(θ) × cos(φ)
y = ρ × sin(θ) × sin(φ)
z = ρ × cos(θ)
For x² + y² + z² = 64, we can substitute the spherical coordinates:
(ρ * sin(θ) × cos(φ))² + (ρ × sin(θ) × sin(φ))² + (ρ × cos(θ))² = 64
ρ² * (sin²(θ) × cos²(φ) + sin²(θ) × sin²(φ) + cos²(θ)) = 64
Since sin²(θ) + cos^2(θ) = 1, the equation simplifies to:
ρ² = 64
So, ρ = 8, as the radial distance must be non-negative.
For z ≥ 0, we use the relationship z = ρ × cos(θ):
8 × cos(θ) ≥ 0
This inequality is satisfied when 0 ≤ θ ≤ π/2, as the cosine function is non-negative in this range.
Since the azimuthal angle φ covers the entire range of possible angles in the xy-plane, we have 0 ≤ φ ≤ 2π.

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Answer: 8 mangoes

Step-by-step explanation:

1. To find the total number of mangoes Peter had, add 8 and 24 which gives you 32. 8 + 24 = 32.

2. If Peter had an equal number of mangoes in each bag, and a total number of 32 mangoes, then you must divide the total number of mangoes by the number of bags, which is 4. 32 ÷ 4 = 8. Therefore, there were 8 mangoes in each bag.

Answer:

The answer  is 8 mangoes

the kangaroo real height is 3 feet and shadow height is 5 feet

if the height of the tree is 7 feet so the real height of the tree is 5 feet

The output will be "11 10 0 11" followed by a newline.

The output of the sequence of C++ statements will be:

A = 11

B = 10

C = 0

D = 11

1. `int A = 8;` assigns the value 8 to variable A.

2. `A += 2;` increments the value of A by 2, resulting in A = 10.

3. `int B = A++;` assigns the current value of A (10) to B, and then increments the value of A by 1. So, B = 10 and A = 11.

4. `int C = (3 * A - 3) % B;` calculates the value of C as (3 * 11 - 3) % 10, which is 30 % 10 = 0.

5. `int D = A <= B ? A : C;` checks if A is less than or equal to B. Since it is true (11 <= 10 is false), D is assigned the value of A, which is 11.

6. `cout << A << " " << B << " " << C << " " << D << endl;` outputs the values of A, B, C, and D, separated by spaces. The output will be "11 10 0 11" followed by a newline.

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Complete question is below

What is the output of the following sequence of C++ statements?

int A = 8;

A += 2;

int B = A++;

int C = (3 * A - 3) % B:

int D= A <= B ? A : C;

cout << A << "" << B << "" << C << " " << D <<< end1;

Answer:

A.   52°

Step-by-step explanation:

The measure of an inscribed angle is 1/2 the measure of the intercepted arc.

m∠B = 1/2 (m of arc AC)

26 = 1/2 (m of arc AC)

52 = (m of arc AC)

Answer:

24

Step-by-step explanation:

I think you meant PQRS not ABCD?

If so, perimeter is the sum of all four sides of a square. Since square has same side lengths,

Perimeter = 4(2x+8)

96=8x+32

64=8x

x=8

So plugging this back into expression,

2(8)+8= 24

Answer:

I am assuming the 8:15 was a typo and was actually supposed to be a 8:14. Anyways, they are equivalent because they all make 4:7 when simplified.

Step-by-step explanation:

4:7 = itself at this point, as they don't have numbers that can simplify each other on both sides, unless you are looking for a decimal answer.

8:14 = 4:7 <- You can divide the 8 and 14 by two. 8 divided by 2 is four, and 14 divided by 2 is 7.

16:28 = 4:7 <- You can divide the 16 and the 28 by four. 16 divided by 4 is 4, and 28 divided by 4 is 7.

20:35 = 4:7 <- You can divide both sides by 5. 20 divided by 5 is 4, and 35 divided by 5 is 7.

The maximum rate of change of f at the point (0, 5) is 15.

To find the maximum rate of change of f(x, y) = 3sin(xy) at the point (0, 5), we need to calculate the gradient of the function and evaluate it at that point.

The gradient of a function represents the direction of steepest ascent, and its magnitude gives the rate of change. The gradient vector is given by:

∇f(x, y) = (∂f/∂x, ∂f/∂y)

Taking the partial derivatives of f(x, y) with respect to x and y:

∂f/∂x = 3y cos(xy)

∂f/∂y = 3x cos(xy)

Evaluating these partial derivatives at the point (0, 5):

∂f/∂x = 3(5) cos(05) = 15

∂f/∂y = 3(0) cos(05) = 0

The maximum rate of change occurs in the direction of the gradient vector. Therefore, the direction of maximum rate of change can be represented by the unit vector in the direction of the gradient vector:

u = (∂f/∂x, ∂f/∂y) / |∇f(x, y)|

|∇f(x, y)| represents the magnitude of the gradient vector, which can be calculated as:

|∇f(x, y)| = √( (∂f/∂x)^2 + (∂f/∂y)^2 )

Substituting the values:

|∇f(x, y)| = √( (15)^2 + (0)^2 ) = 15

Therefore, the unit vector representing the direction of maximum rate of change is:

u = (∂f/∂x, ∂f/∂y) / |∇f(x, y)|

= (15/15, 0/15)

= (1, 0)

Hence, the direction of maximum rate of change is in the x-axis direction (horizontal direction) at the point (0, 5).

Regarding the maximum rate of change, we can calculate it by evaluating the magnitude of the gradient vector at the point (0, 5):

|∇f(x, y)| = 15

Therefore, the maximum rate of change of f at the point (0, 5) is 15.

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Answer:

A) $3720

Step-by-step explanation:

The picture tells us that employers bring 6.2% of the contribution.

Divide 6.2 by 100 to see what will we have to multiply the 100% number (60,000) by to get out answer and you get 0.062.

Now, multiply 60,000 by 0.062 and you get $3720.

Answer:

  A.  $3720

Step-by-step explanation:

You want to know the employer's contribution to the Social Security tax on a salary of $60,000 per year. The employer's Social Security tax rate is given as 6.2%.

The amount of tax is found by multiplying the tax rate by the quantity being taxed. Here, the employer's social security tax rate is 6.2% of an employee's salary. The salary is given as $60,000, so the amount of tax the employer pays is ...

  6.2% × $60,000 = $3720

The employer contributes $3720 in Social Security tax on a salary of $60,000.

__

Additional comment

Taken together with the Medicare tax, the employer pays the US government a total of 15.3% of the employee's salary. The employer is allowed to deduct half that from the salary paid to the employee, so the employee sees a combined tax of 7.65%. The other 7.65% is an additional cost to the employer of hiring the employee.

This question is only asking about the employer's share of the Social Security tax, so the applicable tax rate is 6.2%.

The product of the given expressions 6 × x × y and 2 × x × 3 × y are both equivalent to 6xy.

Multiplication is another term for product and it is the process of finding the sum of a number with itself a specified number of times, or any other analogous binary operation that combines other mathematical objects.

6 × x × y

= 6xy

2 × x × 3 × y

= 6xy

Hence, 6 × x × y and 2 × x × 3 × y equals 6xy.

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Dimensions of the rectangular plot are 25' × 50'.

The area of a rectangular plot is 1250m.

What is the dimension of the rectangle?

Four perpendicular sides make up the two-dimensional geometric shape of a rectangle. Two of the four sides are distinct, and the other two resemble the distinctive sides. The dimensions of a rectangle are these two distinctive sides.

Here, we have

100 meters fencing

We have to find the dimensions and area of the rectangular plot.

so, 2x + y = 100

y = 100 - 2x

A = xy

A = x (100 - 2x)

A = 100x - 2x²

We differentiate w.r.t x, and we get

A' = 100 - 4x

We put, A'= 0

100 - 4x = 0

x = 25

y = 50

A = xy

A = 25 × 50

A = 1250m

Hence, the dimension of the rectangular plot is 25' × 50'.

The area of a rectangular plot is 1250m.

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Answer:

16

Step-by-step explanation:

1/2 ^(-1)=2

8×2=16

Hope that helped.

Cole will have to save 9.05 for 5 weeks in order to get the video game.

How to solve this problem- 45.25 ÷ 5 = 9.05

---------------------------------------------------------------------------------------------------------------

bai ^^

Answer:

3+16 divided by 4 is 4.75

4×7-2×6..... is5.33

168

The true solution to the logarithmic equation log(x)+log(x+5)=log(6x+12) is 4 option second is correct.

It is given the logarithmic equation \(\rm logx+log(x+5)=log(6x+12)\).

It is required to find the true solution to the above logarithmic equation.

It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

\(\rm a^b=c\\\)

\(\rm log_ac=b\)

We have:

\(\rm logx+log(x+5)=log(6x+12)\)

By using log property:

\(\rm logx + logy= log(xy)\)

\(\rm log((x)(x+5))=log(6x+12)\)

Taking \(\rm log_1_0\) base and removing the log from the sides we get:

\(\rm x(x+5)= 6x+12\\\\\rm x^2+5x=6x+12\\\\\rm x^2-x-12=0\)

It is quadratic equation solving by factorization method:

\(\rm x^2-x-12=0\\\\\rm x^2+3x-4x-12=0\\\\\rm x(x+3)-4(x+3)=0\\\\\rm (x+3)(x-4)=0\\\\\rm x+3=0 \ or \ x-4=0\\\\ \rm x=-3 \ or \ x=4\\\\\)

A negative Logarithm value does not exist.

Hence, the true solution to the logarithmic equation log(x)+log(x+5)=log(6x+12) is x = 4

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Answer: 10

Step-by-step explanation:

64/6=10 therefore it is 10

Mrs. Weeks received a Change of $195.00.

The given data is:

Type of Ball football basketball baseball softball Cost per Ball $8.00 $9.00 $7.00 $ 5.00 Total Number of Balls (from Part 1)Mrs. Weeks bought all the baseballs and softballs.

The cost per ball of baseballs and softballs are $7.00 and $5.00 respectively

The total number of balls from part 1 = 30 + 18 + 15 + 20= 83Mrs. Weeks bought baseballs and softballs:15 + 20 = 35 baseballs and softballs Cost of each baseball is $7.00

The cost of each softball is $5.00

The cost of 35 baseballs is $7.00 x 15 = $105.00

The cost of 35 softballs is $5.00 x 20 = $100.00

The total cost of all baseballs and softballs = $105.00 + $100.00 = $205.00Mrs. Weeks paid for them using four $100.00 bills.

The total amount paid by Mrs. Weeks = $100.00 x 4 = $400.00Mrs.

Weeks received change = Amount paid – Total cost of all baseballs and softballs= $400.00 – $205.00= $195.00

Therefore, Mrs. Weeks received a change of $195.00.

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9514 1404 393

Answer:

  $136.50

Step-by-step explanation:

After her 35% discount, Tina pays 65% of the marked price. The amount she pays is ...

  0.65 × $210 = $136.50

Answer:

its upside down if you flip it people will see it better

Answer:

D (1,-2)

Step-by-step explanation:

This is the point of intersection aka meeting point.

Answer:

zoom in

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The equation \(x^2 + y^2 + 10y + 20 = 0\) represents a circle with center (0, -5) and radius 5.

To determine if the equation represents a circle, we need to rewrite it in standard form. The standard form of a circle equation is \((x - h)^2 + (y - k)^2 = r^2\), where (h, k) represents the center of the circle and r represents the radius.

Completing the square for the y terms:

\(x^2 + y^2 + 10y + 20 = 0\\ x^2 + y^2 + 10y = -20\\ x^2 + y^2 + 10y + 25 = -20 + 25\\ x^2 + (y + 5)^2 = 5\)

Now the equation is in standard form, \((x - 0)^2 + (y + 5)^2 = 5^2\), which represents a circle.

By comparing the equation to the standard form, we can determine the center and radius of the circle. The center is given by the values (h, k), which in this case is (0, -5). Therefore, the center of the circle is (0, -5).

The radius is determined by the term \(r^2\), which in this case is \(5^2 = 25\). Therefore, the radius of the circle is 5.

In summary, the equation x^2 + y^2 + 10y + 20 = 0 represents a circle with center (0, -5) and radius 5. The completion of the square allowed us to rewrite the equation in standard form, making it evident that it represents a circle. The center of the circle is determined by the values of x and y, and the radius is determined by the value of r.

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Answer:

5 tubs

Step-by-step explanation:

This because if we divided 10 in half we get 5 and if we divide 40 in half we get 20

I hope this helps :)!!  

Answer:

14

Step-by-step explanation:

1. Distribute

2(y + 3) + 2(4 - y)

2 + 6 + 2(4 − )

2. Rearange terms

2y + 6 + 2(4 - y)

2 + 6 + 2(- + 4)

3. Distribute

2y + 6 + 2(-y - 4)

2y + 6 - 2y + 8

4. Add numbers

2y + 6 - 2y + 8

2y + 14 - 2y

5. Combine like terms

2y + 14 - 2y

14

6. Solution

14

can i be brainiest...

Answer:

the answer is 14y

Step-by-step explanation:

this is because if you multiply 2xy it is 2y then multiply 2x3 and that's 6. Then you add 6+2y and get 8y. Next you multiply 2x4 which is 8 then 2xy which is 2y. Next you subtract 8-2y which is 6y. then you add 6y+8y and you answer is 14y.

Answer:

43 days till CHRISTMAS

Answer:

282.74in

Step-by-step explanation:

According to the Triangle Inequality Theorem, the sum of the lengths of two sides of a triangle is greater than the length of the third side of the triangle.

In this case, you know the lengths of two sides of the triangle, and you also know that "x" represents the length of the third side. Then, you can set up the following:

Solving the inequality, you get:

You can rewrite it as:

Hence, the answer is: