Each of the c children at a park will receive at least 3 balloons. If 150 balloons are given out in all, what is the maximum number of children that can go to the park before they run out of balloons?

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Answer:

40 cm

Step-by-step explanation:

volume = length x width x height

10,000 = 25 x 10 x h

h = 10,000/ (25 x 10)

h = 10,000 / 250

h = 40 cm

Answer:

510 divided by 380 is 1.34210526316 so multiple by 10 to get 134.210526316

rounding to the tenth we get 134.2

Answer:

Step-by-step explanation:

Answer:

27.2 ft

Step-by-step explanation:

We solve using the Trigonometric function of tan

tan θ = Opposite/Adjacent

θ = 66°

Opposite = Height of the building = 61 ft

Adjacent = Length of the shadow = ? = x

tan 66 = 61/x

Cross Multiply

tan 66 × x = 61

x = 61 ft/tan 66

x = 27.158949804 ft

Approximately = 27.2 ft

The length of the shadow = 27.2 ft

Answer: 140

Hope this helped

There are 140 oranges in the pile.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A grocer stacks oranges in a four-sided pyramid that is 7 layers high.

And, The explicit formula for a pyramidal sequence is,

⇒ P(n)=n(n+1)(2n+1)/6

Hence, Number of oranges in the pile are,

P(7) = 7*(7 + 1)(2 x 7 + 1)/6

P(7) = 7 x 8 x 15 / 6

P(7) = 7 x 4 x 5

P(7) = 140

Thus, There are 140 oranges in the pile.

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Answer:

"0.057309921" is the correct answer.

Step-by-step explanation:

According to the question,

The coming probability will be:

= [tex]0.5\times 0.8[/tex]

= [tex]0.4[/tex]

n = 12

p = 0.4

Now,

⇒ [tex]P(X>7)=1-P(X<=7)[/tex]

Here, X = Number of guests

                    [tex]=1-binom.dist(7,12,0.4,1)[/tex]

                    [tex]=0.057309921[/tex]

Thus, the above is the correct answer.  

Step-by-step explanation:

for a

for e

for d

for. c

for b

hope it helps.

Answer:

$5938

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Compounded Interest Rate Formula: [tex]\displaystyle A = P(1 + \frac{r}{n})^{nt}[/tex]

Step-by-step explanation:

Step 1: Define

Identify variables

P = 2700

r = 6.25% = 0.0625

n = 1

t = 13

Step 2: Find Interest

Answer:

3rd jump: 4.642 rounds down to 4.6

Answer:

-98 x (175-34)

Step-by-step explanation:

Answer:

63 euros.

Step-by-step explanation:

4 dollars = 1.75 euros

1 dollar = 1.75 / 4 euros, so

144 dollars = (1.75/4) * 144

= 63 euros.

Answer:

Rs 2.25

Step-by-step explanation:

S.P. = 375 * 3.36 = 1260

C.P. = 1125. for 500 mangoes

So for 1 mango,

C.P. = Rs 2.25

Answer:

₹2.25

Step-by-step explanation:

Selling price of 1 mango = ₹3.36

Mangoes in good state = 500 - 125 = 375

Selling price of 375 mangoes = 3.36 *375 = ₹ 1260

Cost price = [tex]\frac{100}{100+profit}*SP[/tex]

                [tex]= \frac{100}{100+12}*1260\\\\=\frac{100}{112}*1260\\\\= 1125[/tex]

   Cost price of 500 mangoes = ₹ 1125

CP of 1 mango = 1125/500 = ₹2.25

Answer:

n(n+1)(n+5)/3

Step-by-step explanation:

there is no value, as we don't know n.

but we can create a summary formula/ function definition :

this is the sum for k = 1 to n of k×(k+3)

k×(k+3) = k² + 3k

so, the overall sum splits into the sum of k² for k=1 to n, and the sum of 3k for k=1 to n.

and the sum of 3k is 3 times the sum of k for k=1 to n.

Σk² for k=1 to n = [n(n+1)(2n+1)]/6

Σk for k=1 to n = n(n+1)/2

3×Σk for k=1 to n = 3×n(n+1)/2

so, we have a function formula

n(n+1)(2n+1)/6 + 3n(n+1)/2 = n(n+1)(2n+1)/6 + 9n(n+1)/6 =

= n(n+1)(2n+1+9)/6 = n(n+1)(2n+10)/6 = n(n+1)(n+5)/3

Answer: 2.81 s

Step-by-step explanation:

Given

Ball is kicked upward with velocity [tex]u=90\ ft/s[/tex]

Height of the ball is given by the function [tex]h(t)=-16t^2+90t[/tex]

Derivative of a function gives the maxima or minima at certain point

[tex]\Rightarrow \dfrac{dh}{dt}=-32t+90\\\\\Rightarrow \dfrac{dh}{dt}=0\\\\\Rightarrow -32t+90=0\\\\\Rightarrow t=\dfrac{90}{32}\\\\\Rightarrow t=2.81\ s[/tex]

Thus, it takes ball 2.81 s to reach the top.

Answer:

Answer:

B. Circle

Step-by-step explanation:

Answer:

Step-by-step explanation:

Order shouldn't make any difference.

3 C 4  = 4!/(3! 1!) = 4

Let's see if that is right.

1 2 3

1 2 4

1 3 4

2 3 4

Any other combination will produce a duplicate if order doesn't matter. For example

2 4 3 is the same thing as 2 3 4

Answer:

[tex]Longest = 2\frac{3}{4}\ in[/tex]

Step-by-step explanation:

Given

See attachment for plot

Required

The longest feather

To solve this, we simply identify the highest dataset represented on the line plot.

From the attached plot, we have:

[tex]Shortest = \frac{3}{4}[/tex]

and

[tex]Longest = 2\frac{3}{4}\ in[/tex]

Hence, the longest is: [tex]2\frac{3}{4}\ in[/tex]

Answer:

f(x)=2x^2+3

Step-by-step explanation:

If you see the f(x), you can see that it is squished by a factor of 2, and it is translated upwards 3 units. that means that the final equation is f(x)=2x^2+3, which is B

The Equation of red parabola is y = 2x² + 3.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

We have a function,

g(x) = x²

It is a parabola with vertex at (0,0) and the sign is positive then the parabola opens up.

Then, General equation of parabola is

y= a(x - h)² + k

As, the The graph of F(x) opens up that is why it will have positive x²

and vertex at (0, 3)

So, the equation of parabola

y= 2(x - 0)² + 3

y = 2x + 3

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Step-by-step explanation:

Consecutive odd integers are integers that take on the form n, n + 2, n +4, n + 6, and so on, where n is odd.

Now, Product of two consecutive positive odd integers = 2499

=>n*(n+2) = 2499

=>n^2+2^n-2499=0

=>n^2+51^n-49^n-2499=0 =>n(n+51)-49(x+51)=0

=>(n+51)(n-49)=0

=>n=49 (n is not equal to -51 which is negative integer).

So,bigger integer =(n+2)=49+2=51.

Answer:

No

Step-by-step explanation:

The amounts of change are the same, but the original amounts are different. The ratio for the percent increase from 50 to 70 is 20/50, or 40%. The ratio for the percent decrease from 70 to 50 is 20/70, or about 29%.

Answer:

Step-by-step explanation:

Though the difference is the same, the original value is different. Therefore they are not the same.

Percentage increase from  50 to 70

                                                 [tex]=\frac{70 - 50}{50} \times 100\\\\=\frac{20}{50} \times 100 = 40 \%[/tex]

Percentage decrease from 70 to 50

                                                 [tex]= \frac{70-50}{70} \times 100\\\\= \frac{20}{70} \times 100 = 28.57 \%[/tex]

Answer:

5x+5

______

x^2-2x this the correct one

Answer:

La altura del árbol es 8 metros.

Step-by-step explanation:

La sombra de un árbol, cuando los rayos del sol forman con la horizontal un ángulo de 36º, mide 11 metros. Esto se puede observar en la imagen adjunta.

La trigonometría estudia la relación entre los lados y ángulos de los triángulos. Las razones trigonométricas de un ángulo α son las razones obtenidas entre los tres lados de un triángulo rectángulo (uno de sus ángulos es recto y mide 90°).

La tangente de un ángulo es la razón entre el cateto opuesto y el cateto contiguo o cateto adyacente. En este caso se debe aplicar dicha relación trigonométrica.

[tex]tan(\alpha )=\frac{cateto opuesto}{cateto adyacente}[/tex]

En este caso, se conoce el ángulo, cuyo valor es 36°, y el cateto adyacente, cuyo valor es 11. Reemplazando:

[tex]tan(36 )=\frac{cateto opuesto}{11}[/tex]

Resolviendo:

cateto adyacente= tan(36)*11

cateto adyacente= 7.99 metros ≅ 8 metros

La altura del árbol es 8 metros.

Answer:

s=0

Step-by-step explanation:

We have two points so we can use the slope formula

m = (y2-y1) / x2-x1)

   -1 = (s-6)/(-3 - -9)

   -1 = (s-6)/(-3 +9)

   -1 = (s-6)/(6)

Multiply each side by 6

6*-1 = s-6

-6 = s-6

Add 6 to each side

-6+6 = s-6+6

s=0

Answer:

[tex] \large\sf \: s = 0[/tex]

Value of s is 0.

Step-by-step explanation:

Here,

A line that includes 2 two points are ( -9 ,6) and (-3, s) and has a slope of - 1.

Using slope formula

m = ( y ² - y ¹ ) / ( x ² - x ¹)

Where,

substitute the values into the formula

-1 = ( s - 6 ) / ( - 3 - ( - 9 ) )

-1 = ( s - 6 ) / ( - 3 + 9 )

- 1 = ( s - 6 ) / ( 6 )

multiply each side by 2

- 1 × 6 = s - 6 × 6 / 6

- 6 = s - 6

- 6 + 6 = s - 6 + 6 ..( add 6 to each side)

0 = s

Answer:

[tex]33+4i[/tex]

*None of the answer choices are correct. It's most plausible that your teacher forgot to regard [tex]i=\sqrt{-1}[/tex] and got [tex]\text{d. }9+4i[/tex]. I'd recommend choosing this answer and talking about it with your teacher later.

Step-by-step explanation:

Recall that [tex]i=\sqrt{-1}[/tex].

Solving, we get:

[tex](3-2i)(7+6i),\\21-14i+18i-12(-1),\\21-14i+18i+12,\\\boxed{33+4i}[/tex]

Answer:

.5 or (1/2)

.5  or (1/2)

2.5 or (5/2)

Step-by-step explanation:

all you really have to do is mulitply the numbers by .5

1*.5= .5

5*.5= 2.5

Answer:

6

Step-by-step explanation:

======================================================

Explanation:

Exponents of 1/2 are the same as square roots

[tex]36^{1/2} = \sqrt{36} = 6[/tex]

If the exponent was say 1/3, then we'd be taking a cube root

[tex]36^{1/3} = \sqrt[3]{36}[/tex]

and this is what a fourth root would look like

[tex]36^{1/4} = \sqrt[4]{36}[/tex]

and so on