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Answer: 120

Step-by-step explanation:

Given : Total toppings = 6

Number of toppings needs to be selected = 3

Also if repetition of toppings is not allowed , then the number of combinations are possible = 6 x 5 x 4   [First we choose 1 out of 6 , then 1 out of remaining 5 and then 1 out of 4,then multiplying the choices for 3 toppings]

=  120

Hence, the number of different pizza topping combinations are possible if the maximum number of allowed toppings is 3 is 120 .

Responder:

$ 555,911.5

Explicación paso a paso:

Dado

Principal = $ 545,680

Interés = 2,25%

Tiempo = 10 meses = 10/12 años

Debemos buscar la cantidad después de 10 meses.

Monto = Principal + Intereses

Interés = PRT / 100

Interés = 545,680 * 2,25 * 10/1200

Intereses = 12,277,800 / 1200

Interés = 10.231,5

Cantidad = 545,680 + 10,231.5

Cantidad = 555,911.5

por lo tanto, la cantidad después de 10 meses es $ 555,911.5

Answer:

\(21\)

Step-by-step explanation:

\(\textrm{If y varies directly with x we can write this relationship as}\)

\(y = k \cdot x\)

\(\textrm{k is referred to as the constant of proportionality.}\)

\(\textrm{Substituting these values into the above equation we get}\)

\(3 = k \cdot 2\)

\(So\; k = \dfrac{3}{2}\)

\(\mathrm{When }\) \(x = 14,\)

\(y = \dfrac{3}{2} \cdot 14\)

\(y = 21\)

Answer:

Apples: 2.1

Blueberries: 1.1

Lemons: ?.1

Oranges: 3.5

Peaches:2.6

Pears : 3.6/2.6

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

H = 120°

Step-by-step explanation:

The sum of the internal angles of a polygon with n sides is given by the formula:

S = (n-2)*180

So, for a pentagon, we have n = 5, then:

S = (5-2)*180 = 540°

So we have that:

M + A + T + H + S = 540° (eq1)

M = T = H (eq2)

A + S = 180° (eq3)

Using the second and third equation in the first one, we have:

H + H + H + 180 = 540

3H = 360

H = 120°

The value of p such that the matrix M does not have an inverse is given as follows:

p = -5.

The matrix M for this problem is given as follows:

M = [7 2

       p -1].

As it is a 2 x 2 matrix, the determinant is obtained with the multiplication of principal diagonal subtracted by the multiplication of the secondary diagonal, hence:

|M| = -7 - 2p.

The matrix does not have an inverse if the determinant assumes a value of zero, hence the value of p is obtained as follows:

-7 - 2p = 0

2p = -7

p = -7/2

p = -5.

More can be learned about matrices at https://brainly.com/question/2456804

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Answer:

x is 107cm

Step-by-step explanation:

We are told that the window and the door are similar rectangles.
Similar rectangles are rectangles with the same length and width ratio.
We can find the ratio by looking at the widths of the door and the window.
The window's width is 2x smaller than the door's width so that window's height must be 2x smaller than the door's height.
The door's height is 214cm.
214 ÷ 2 = 107
x is 107cm

the minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria is 384.12, which can be rounded up to 385.

The minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria is as follows:

95% confidence, within 5 percentage points, and a previous estimate of 0.25.

The formula to calculate the sample size required for the study to determine the proportion is given by:

`n = Z²pq / E²`

Where n = sample size

Z = z-value (1.96 at 95% confidence interval)

E = margin of error

p = estimated proportion of the population

q = 1 - pp

q = estimated proportion of population without the condition (1 - 0.25 = 0.75)

Given,

Z = 1.96E = 0.05p = 0.25q = 0.75

Substituting these values in the above formula, we get;

`n = (1.96)²(0.25)(0.75) / (0.05)²``n = 384.16`

Therefore, the minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria is 384.12, which can be rounded up to 385.

learn more about proportion here:

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Answer:

n = 4

Step-by-step explanation:

1/2(n + 2) + 4 = 3n - 5

1/2n + 5 = 3n - 5

- 5 | - 5

1/2n = 3n - 10

- 3n | - 3n

-5/2n = -10

* 2 | * 2

-5n = -20

/5 | /5

n = 4

---

Hope this helps!

The simplest form of fraction of the given terms is 43/40.

According to the statement

we have to find that the simplest form of the fraction by evaluating.

So, For this purpose, we know that the

A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole.

The given expression is

7/8+ 1/5

Now, to solve it take a LCM of it then

35+8/40

Now solve the term then the equation become

43/40.

Now, The simple form of the fraction become the 43/40.

So, The simplest form of fraction of the given terms is 43/40.

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Answer:

The answer is 44!

Step-by-step explanation:

npp, yw!!! hahaha thank me later okay??

love that more me ahaha! np btw ofc!

Answer:

300.104

Step-by-step explanation:

I posted a photo what the difference between expanded and standard form.

Hope this helped

Answer:

2x+5=35.

2x+5-5=35-5

2x=30

2x/2=30/2

x=15

Answer:

Step-by-step explanation:

$240 = 100

$48 = X

100 * 48 = 240X

4800 / 240 = 240X / 240

X = 20

She spent 20% on the dress

Step-by-step explanation:

The line representing the equation 7x1 + 4x2 = 28 goes through the points (4,0) and (0,7).

Answer:

3.06 cm^2/sec

Step-by-step explanation:

Since the shape is a cube, all sides have equal lengths, 6 cm  The rate of increase of 0.025cm/s [Note: I assume the unit should be cm/s, not cms'].

See the attached spreadsheet calculation.  Starting at time = 0 sec, the initial area is 36 cm^2.  Each second adds 0.025 cm to each side length,.

We can express this change in length as an equation:

Initial Length (6cm) + (x seconds)*(0.025 cm/s)

So for 10 second, l = 6 cm + 0.25cm or 6.25cm

--

The area is also changing with time.  At 0 seconds, the area is (6cm)^2 or 36 cm^2.  At 10 seconds, the area is (6.25cm)*(6.25cm) or 39.06 cm^2.

The area increased from 36 cm^2 to 39.06 cm^2 in 10 seconds.  That is a change rate of ((39.06 - 36 cm^2)/(10 sec):

 ((39.06 - 36 cm^2)/(10 sec)

 ((3.06 cm^2)/(10 sec)

3.06 cm^2/sec

Answer:

The triangles aren't necessarily congruent. SAS postulate is side angle side, which means that the angle that is congruent must be between the two sides that are congruent. DF is congruent to MN, and DG is congruent to MP. This means, that angle D must be congruent to angle M.

However, we only know that D is congruent to P, not M.

These triangles are not necessarily congruent.

[ This answer is not viewable due to inaccuracy. ]

Answer:

22.62 degrees

Step-by-step explanation:

STEP 1: Write the given details

Opposite = 5cm

hypotenuse = 13cm

R = ?

STEP 2: Write the applicable sine ratio

\(sin \: = \frac{opposite}{hypotenuse} \)

STEP 3: Find R

\(sin \: r \: = \frac{5}{13} \\ \\ sin \: r \: = 0.38461538462 \\ \\ r \: = \: \sin { }^{ - 1} ( 0.38461538462) \\ \\ r \: = \: 22.61986494804 \\ \\ r = 22.62 \: degrees\)

Answer:

a is equal to 3 ...................

Answer:

(x+2)(x+5)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Just substitute the values of X into each equation until you get it

y=3.5(0)² - 9.5(0) +29

y=0-0+29

y=29

Therefore, the answer is C

Answer:

a) 110

b) 250

Step-by-step explanation:

Read the top row of numbers for a.  We are starting at zero and going to 110

Reflex is when two angles add up to 360

360 - 110 = 250

Answer: 8

Step-by-step explanation:

Answer:

43/20  or 2 3/20

Step-by-step explanation:

11/4-3/5

Convert to common denominator

55/20-12/20

43/20 or 2 3/20

Hope this helps!