Antonio eats 1 slice of pizza in 3 minutes. How long will it take Antonio to eat 4 slices?​

There are 9444 men and 24555 females are present.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

Total students = 34000

For every 5 male students there are 13 female students.

So, the number men are

= 5/18 x 34000

= 9444

and, number of women

= 13/ 18 x 34000

= 24, 555.

learn learn more about Fraction here:

https://brainly.com/question/10354322

#SPJ9

The question attached here is in other language whose translation is given below.

In a school for every 5 male students there are 13 female students. If the total number of students is 34,000, how many men and women are there?

Answer: 160 times

Step-by-step explanation:

Answer:

Step-by-step explanation:

x^2 + 44^2 = 55^2

x^2 + 1936 = 3025

3025-1936 = 1089

sqrt(1089) = 33

x = 33

Answer:

X=33

Step-by-step explanation:

this is a right traingle so you can use pythagorean theorem

A^2 +B^2 =C^2

A^2 +44^2= 55^2

A^2 + 1936= 3025 subtract 1936 from both sides

A^2= 1089 now square root both sides

A=33

The growth of the mass of the sample of a bacteria is represented by the exponential model m(x) = 5 · 1.02ˣ.

In this problem we find the case of mass of a sample of a bacteria (m(x)), in miligrams growing in time (x), in days. This growth is done exponentially, the exponential model is shown below:

m(x) = m' · (1 + r / 100)ˣ

Where:

We have that the mass of the sample was initially 5 miligrams and grows at a rate of 2 % during 10 days. If we know that m' = 5 mg and r = 2, then the exponential model for the sample is:

m(x) = 5 · 1.02ˣ

The exponential model for the sample of a bacteria is equal to m(x) = 5 · 1.02ˣ.

To learn more on exponential models: https://brainly.com/question/28596571

#SPJ1

The population of organisms is described by the following exponential equation:

P(t) = 18,000*(0.9966)^t

The general exponential equation is:

P(t) = A*(b)^t

Where A is the initial value, b depends on the percentage that changes, and t is the variable.

In this case, the population decreases by 3.4%, then we have:

B = 1 - 3.4%/100% = 0.9966

And the initial value is 18,000 organisms, replacing that in the general equation we get:

P(t) = 18,000*(0.9966)^t

This is the equation that represents the population.

If you want to learn more about exponential equations, you can read:

https://brainly.com/question/11832081

Answer:

Your awnser is 1

Step-by-step explanation:

Just needed to simplfy.

Hey there! I'm happy to help!

We see that if the river isn't moving at all the boat can move at 18 mph (most likely because it has an engine propelling it.)

We want to set up a proportion where our 21 miles downstream time is equal to our 15 miles upstream time so we can find the speed. A proportion is basically showing that two ratios are equal. Since our downstream distance and upstream distance can be done in the same amount of time, we will write it as a proportion.

We want to find the speed of the river. We will use r to represent the speed of the river. When going downstream, the boat will go faster, so it will have a higher mph. So, our speed going down is 18+r. When you are going upstream, it's the opposite, so it will be 18-r.

\(\frac{distance}{speed} =\frac{21}{18+r} = \frac{15}{18-r}\)

So, how do we figure out what r is now? Well, one nice thing to know about proportions is that the product of the items diagonal from each other equals the product of the other items. Basically, that means that 15(18+r) is equal to 21(18-r). This is a very nice trick to solve proportions quickly. We see that we have made an equation and now we can solve it!

15(18+r)=21(18-r)

We use the distributive property to undo the parentheses.

270+15r=378-21r

We subtract 270 from both sides.

15r=108-21

We add 21 to both sides.

36r=108

We divide both sides by 36.

r=3

Therefore, the speed of the river is 3 mph.

You also could have noticed that 18mph to 21 mph is +3, and 18mph to 15 mph -3 in -3 mph, so the speed of the river is 3 mph. That would have been a quicker way to solve it XD!

Have a wonderful day!

Answer:

x=10

Step-by-step explanation:

divide by 3 on both sides then add 6 on both sides

Answer:

the answer is x=10, x=2

Step-by-step explanation:

hope that helps

The area of the triangles are 81.77 square units, 333.50 square units, 207 square units and 52.21 square units

Given the triangles as the parameters, the area can be calculated as

Area = 1/2absin(C)

Using the above formula as a guide, we have the following equations

Triangle 7 = 1/2 * 15 * 13 * sin(57 degrees)

Triangle 7 = 81.77 square units

Triangle 8 = 1/2 * 28 * 24 * sin(83 degrees)

Triangle 8 = 333.50 square units

Triangle 9 = 1/2 * 23 * 18 * sin(90 degrees)

Triangle 9 = 207 square units

Triangle 10 = 1/2 * 15 * 7 * sin(96 degrees)

Triangle 10 = 52.21 square units

Hence, the area of triangle 10 is 52.21 square units

Read more about areas at

https://brainly.com/question/22972014

#SPJ1

Answer: Number of games lost = 23 and Number of games won = 59.

Step-by-step explanation:

Let x = Number of games lost, y = Number of games won.

y = 13 + 2x    (i)

x+ y = 82    (ii)

Substitute value of y from (i) in (ii) , we get

x+ 13 + 2x  = 82

⇒ 3x= 82-13

⇒ 3x = 69

⇒  x= 23      [Divide both sides by 3]

Put value of x in (i), y= 13+2(23) = 13+46=59

Hence, Number of games lost = 23 and Number of games won = 59.

Answer:

5-x = 2x +8

(subtracts 2x from both sides)

5-3x=8

(subtracts 5 from both sides)

-3x=3

(divides by -3 on both sides)

x= -1

The answer is the same i. e., 4.375 in all the cases as shown

There are two terms which describe the three numbers in a multiplication problem. The factors are the numbers that are being multiplied together. The product is the result or answer of multiplying the multiplicand by the multiplier.

= 3/7 x 5/6 x1/4

=  38/8

= 3/7 x 1/4 x 5/6

= 5/6 x 1/4 x3/7

= 5/6 x 3/7 x 1/4

= 1/4 x 5/6 x 3/7

=1/4 x 3/7 x 56

= 4.375

The answer is the same i. e., 4.375 in all the cases as shown.

Learn more about multiplication problem here: brainly.com/question/2056277

#SPJ1

Answer:  (x² - 5)(x - 7)

Step-by-step explanation:

Grouping the terms, we have:

(x^3 - 7x^2) + (-5x + 35)

Now, let's factor out the common factors from each pair:

x^2(x - 7) - 5(x - 7)

Notice that we have a common factor of (x - 7) in both terms. We can factor it out:

(x^2 - 5)(x - 7)

Therefore, the resulting expression after factoring by grouping is (x^2 - 5)(x - 7).

Answer:

x=30

Step-by-step explanation:

Let's solve your equation step-by-step.

35=1.5x−10

Step 1: Flip the equation.

1.5x−10=35

Step 2: Add 10 to both sides.

1.5x−10+10=35+10

1.5x=45

Step 3: Divide both sides by 1.5.

1.5x÷1.5=45÷1.5

x=30

Answer:

$941.65

Step-by-step explanation:

We have to find the sales tax of the camera.

tax rate = 9.5%

listed price = $859.95

           \(\sf Sales \ tax = tax \ rate * listed \ price\)

                         = 9.5 % * 859.95

                        = 0.095 * 859.95

                        = $81.70

To find the total cost, add the sales tax to the listed price.

Total cost = 859.95 + 81.70

                = $941.65

Kinzang grew 0.96 meters.

We have,

To find how much Kinzang grew, we need to subtract his height at birth from his current height:

Height Kinzang grew = Current height - Height at birth

Height Kinzang grew = 1.49 m - 0.53 m = 0.96 m

Therefore,

Kinzang grew 0.96 meters.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$. Therefore $x=y=12\sqrt{3}$, which is our answer

In a 30-60-90 triangle, the sides have the ratio of $1: \sqrt{3}: 2$. Let's apply this to solve for the variables in the given problem.

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x=y=Let's first find the ratio of the sides in a 30-60-90 triangle.

Since the hypotenuse is always twice as long as the shorter leg, we can let $x$ be the shorter leg and $2x$ be the hypotenuse.

Thus, we have: Shorter leg: $x$Opposite the $60^{\circ}$ angle: $x\sqrt{3}$ Hypotenuse: $2x$

Now, let's apply this ratio to solve for the variables in the given problem. We know that $x = y$ since they are equal in the problem.

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$

Therefore, $x=y=12\sqrt{3}$, which is our answer.

For more such questions on ratio of the sides

https://brainly.com/question/31529028

#SPJ8

The roots of the quadratic equation \(3x^2 - 14x - 5 = 0\), in exact square root form, are x = 5 and x = -1/3.

Using the quadratic formula to solve the quadratic equation \(3x^2 - 14x - 5 = 0\),we have

\(x = (-(-14) ± sqrt((-14)^2 - 4(3)(-5))) / (2(3))\\x = (14 ± sqrt(14^2 + 4(3)(5))) / (2(3))\\x = (14 ± sqrt(196 + 60)) / 6\\x = (14 ± sqrt(256)) / 6\\x = (14 ± 16) / 6\\\)

Therefore, the two roots of the quadratic equation in exact square root form are:

\(x = (14 + 16) / 6 = 5\\x = (14 - 16) / 6 = -1/3\\\)

Thus, the roots of the quadratic equation \(3x^2 - 14x - 5 = 0\), in exact square root form, are x = 5 and x = -1/3.

A quadratic equation is a second-degree polynomial equation in one variable of the form:

\(ax^2 + bx + c = 0\)

where x is the variable, and a, b, and c are constants. In this equation, the highest power of x is 2, and it is called the coefficient of x^2. The coefficient of x is b, and the constant term is c.

The quadratic equation is called "quadratic" because the highest power of x is a square (i.e., x^2), and the graph of the equation is a parabola.

The quadratic equation can have zero, one, or two real solutions, depending on the values of a, b, and c. The solutions can be found by using the quadratic formula:

\(x = (-b ± √(b^2 - 4ac)) / 2a\)

where the symbol ± means "plus or minus" and the square root is of the discriminant (b^2 - 4ac).

To know about quadratic equation visit:

https://brainly.com/question/1526946

#SPJ1

The required reverse Euclidean algorithm is the solution to the modular equation (5x) mod 91 is

x = 6(mod 91).

Given that (5*x) mod 91 =32.

To solve the modular equation (5*x) mod 91 =32 using reverse Euclidean algorithm is to find the modular inverse of 5 modulo 91.

Consider  (5*x) mod 91 =32.

5x = 32(mod 91)

Apply the Euclidean algorithm to find GCD of 5 and 91 is

91 = 18 * 5 + 1.

Rewrite it in congruence form,

1 = 91 - 18 *5

On simplifying the equation,

1 = 91 (mod 5)

The modular inverse of 5 modulo 91 is 18.

Multiply equation by 18 on both sides,

90x = 576 (mod91)

To obtain the smallest positive  solution,

91:576 = 6 (mod 91)

Divide both sides by the coefficient of x:

x = 6 * 90^(-1).

Apply the Euclidean algorithm,

91 = 1*90 + 1.

Simplify the equation,

1 + 1 mod (90)

The modular inverse of 90 modulo 91 is 1.

Substitute the modular inverse in the given question gives,

x = 6*1(mod 91)

x= 6 (mod91)

Therefore, the solution to the modular equation (5x) mod 91 is

x = 6(mod 91).

Learn more about modular equation click here:

https://brainly.com/question/15055095

#SPJ1

Answer:

Problem 1:

I = 0.4 volts

Problem  2:

V = 250 volts

Step-by-step explanation:

Given:

Potential difference V = 10 V,

Resistance R = 25 ω,

V = IR

I = V/R

I = 10/25

I = 0.4 volts

Current I = 5 A,

Resistance R = 50 ω,

Potential difference

V = IR

V = 5× 50

V = 250 volts

-TheUnknownScientist

Answer:

third answer

Step-by-step explanation:

solve for and isolate x by moving over all other numbers to the left and then take the fifth power to make x^1/5 = to x

To achieve a comparable rate of return, Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly on his ordinary annuity.

To find the interest rate, compounded monthly, that Hank would need to earn on an ordinary annuity for a comparable rate of return, we can use the present value formula for an ordinary annuity.

First, let's calculate the present value of Hank's payments. He made payments of $219 per month for 30 years, so the total payments amount to $219 * 12 * 30 = $78840.

Now, we need to find the interest rate that would make this present value equal to the selling price of the property, which is $195,258.

Using the formula for the present value of an ordinary annuity, we have:

PV = P * (1 - (1+r)\(^{(-n)})\)/r,
where PV is the present value, P is the payment per period, r is the interest rate per period, and n is the number of periods.

Plugging in the values we have, we get:
$78840 = $219 * (1 - (1+r)\({(-360)}\))/r.

Solving this equation for r, we find that Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly, in order to have a comparable rate of return.

For more questions on interest rates

https://brainly.com/question/31261623

#SPJ8

Answer:

Step-by-step explanation:

Answer:2.04 %

Step-by-step explanation:

The width cannot be negative, the width of the walkway is 6 feet. The total area of the garden and the walkway is given as 648 square feet. We know the area of the garden is length multiplied by width, which in this case is 12 feet by 15 feet, so the garden area is\(12 \times 15 = 180\) square feet.

To find the area of the walkway, we subtract the garden area from the total area. Therefore, the area of the walkway is 648 - 180 = 468 square feet.

The walkway surrounds the garden on all sides, so its length and width will be greater than the corresponding dimensions of the garden.

To calculate the width of the walkway, we can use the formula for the area of a rectangle, which is length multiplied by width. In this case, the length is 12 + 2x (twice the width of the walkway) and the width is 15 + 2x.

So, we have the equation\((12 + 2x) \times (15 + 2x) = 468\).

Expanding and rearranging the equation, we get\(4x^2 + 54x - 228 = 0.\)

Solving this quadratic equation using factoring, completing the square, or the quadratic formula, we find that x = 6 or x = -9/2.

For more such questions area

https://brainly.com/question/25292087

#SPJ8

9514 1404 393

Answer:

  2 colas and 4 hot dogs

Step-by-step explanation:

We presume the units of total satisfaction are additive for the two food items.

The maximum number of colas Joe can buy with his $8 is $8/($2/cola) = 4 colas. Since a cola costs twice what a hot dog costs, Joe can give up 1 cola and buy 2 hot dogs. Possible purchases of (colas, hotdogs) for $8 can be ...

 (0, 8), (1, 6), (2, 4), (3, 2), (4, 0)

Of course, either the number of colas or the number of hot dogs (or both) could be less than these values.

The corresponding satisfaction units are added in the attached table. These combinations are highlighted in green. The maximum number of satisfaction units is found to be for 2 colas and 4 hot dogs. (49 satisfaction units)

_____

Satisfaction values below and to the right of the highlighted diagonal cannot be purchased with $8.

The graph that represents the given inequalities are attached below.

To find the solution graph of the inequalities y ≤ x² + 1 and x > y²  – 5, you would first graph the equations y = x²  + 1 and x = y²  – 5 separately.

The inequality \(y \leq x^2 + 1\) represents the shaded region below the graph of the equation y = x²  + 1.

This region includes the curve and all the points below it.

The inequality x > y²  – 5 represents the shaded region to the right of the graph of equation x = y²  – 5. This region includes the curve and all the points to the right of it.

Learn more about inequalities here:

https://brainly.com/question/30231190

#SPJ1

Answer:

Hey there!

Let x be the price of lipstick

Let 1/2x be the price of shampoo

1.5x=20

x=13.33

1/2x=6.67

The shampoo costed $6.67, and the lipstick costed $13.33

Let me know if this helps , or if you have any more questions :)

Answer:

Thank shampoo costed $7.50 and the lipstick costed $15

Step-by-step explanation:

So if you subtract 15 by 50  you get 35 dollars. Then if you divide 35 by 2 you get 15.5 but the .5 is no important right now. So that's how you get 15 dollars for the lipstick and the shampoo was $7.50. The purse was $12.50.

Nathaniel drinks 3 glasses of water in one hour.

To find out how many glasses of water Nathaniel drinks in one hour, we need to calculate his drinking rate per hour.

In 2 2/5 hours, Nathaniel drinks 4/5 of a 10-ounce glass of water.

Let's convert the mixed number of hours to an improper fraction:

\(2\frac{2}{5} = \frac{(5 \times2 + 2)}{5}\)

\(=\frac{12}{5}\)

Now, we can set up a proportion to find his drinking rate per hour.

We know that \(\frac{12}{5}\) hours corresponds to \(\frac{4}{5}\) of a glass of water.

Let's assign "x" as the number of glasses he drinks in one hour.

The proportion is then

\(\frac{(\frac{12}{5} hours) }{(x glasses) } =\frac{(\frac{4}{5} glass)}{(1 hour)}\)

Cross-multiplying gives us

\((\frac{12}{5} )\times1=\frac{4}{5}\times(x)\)

Simplifying, we get

\(\frac{12}{5} =\frac{4}{5}\times x\)

Dividing both sides by \(\frac{4}{5}\), we find x:

\(x=\frac{(\frac{12}{5} )}{\frac{4}{5} }\)

\(x=\frac{12}{4}\)

\(x = 3.\)

Therefore, Nathaniel drinks 3 glasses of water in one hour.

For such more such question on glasses

https://brainly.com/question/11980886

#SPJ8