In the school band, there is 1 boy for every 5 girls. There is a total of 12 boys. How many girls are in the band?

There's a pretty simple formula to follow: count of multiples [tex]*[/tex] average of the multiple.

To find the average, we take the smallest multiple of 4 which is in the range of 1 and 150 which is 4 of course. And the largest would be 148 since that's the only number in the range. So now average them: [tex]\frac{4 + 148}{2} = \frac{152}{2} = 76[/tex]

Now we find the count of the multiples which is in the range of 1 to 150. To do that, we use this formula:

[tex]\frac{\text{largest multiple} - \text{smallest multiple}}{n} \\[/tex]

Here, [tex]n[/tex] is 4 so this would be:

[tex]\frac{148-4}{4} = \frac{144}{4} = 36[/tex]

This would give you the exclusive count of all the numbers, but we want the inclusive count so, we simple add 1 so the count would be [tex]37[/tex]

Now following the 1st formula we get: [tex]37 * 76 = 2812[/tex]

So the answer would be 2812! :D

And here's the check too:

Answer:

125*125

Step-by-step explanation:

Answer:

Se la voy a dar., Se la voy a dar, se la voy a dar., se la voy a dar, Se la voy a dar a Juan., Se la voy a dar a Juan, se la voy a dar a Juan., se la voy a dar

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

If line l is parallel to line m, therefore:

[tex] 16x + 22 = 134 [/tex] (alternate exterior angles are congruent)

Subtract 22 from each side

[tex] 16x + 22 - 22 = 134 - 22 [/tex]

[tex] 16x = 112 [/tex]

Divide both sides by 16

[tex] \frac{16x}{16} = \frac{112}{16} [/tex]

[tex] x = 7 [/tex]

Answer:The Answer is ________ Please Make sure You Put it In and Trust Have a wonderful day/Night:)

Step-by-step explanation:

Answer:

100.

Step-by-step explanation:

500/10=50 =10%

50 x 2 = 100 = 20%

I hope this helps :D

Answer:

D

Step-by-step explanation:

First of all, she wants to INCREASE her steps per day. A, B, and C all have the same number of steps or fewer steps. I can further prove that the answer is D because if she stars walking 10 extra steps per day, 10 times 100 = 1000 and 5000 + 1000=6000. Please correct me if I am wrong because everybody makes mistakes sometimes. Also, thanks so much for giving me brainiliest!      

Edit: If I was helpful to you, please take a shot at my puzzle that's due Monday.      

It is worth 100 points and would mean a lot to me if you could try and solve it. Good luck! Here is the link: https://brainly.com/question/19021808        

Answer:

Step-by-step explanation:

Answer:

x=−5

Step-by-step explanation:

calculator

Questions (contd)

(a) For what amount of driving do the two plans cost the same?

(b) What is the cost when the two plans cost the same?

Answer:

(a) 100 miles

(b) $65

Step-by-step explanation:

Given

Plan 1:

[tex]Initial\ Fee = \$57[/tex]

[tex]Additional = \$0.08[/tex] per mile

Plan 2:

[tex]Initial\ Fee = \$50[/tex]

[tex]Additional = \$0.10[/tex] per mile

Solving (a): Number of miles when both plans are equal

Represent the distance with x and the cost with y

So:

Plan 1:

[tex]y = 57 + 0.08 * x[/tex]

Plan 2:

[tex]y = 50 + 0.10 * x[/tex]

To solve (a), we equate both plans together; i.e.

[tex]y = y[/tex]

[tex]57 + 0.08x = 50 + 0.10x[/tex]

Collect Like Terms

[tex]0.08x - 0.10x= 50 - 57[/tex]

[tex]-0.02x= -2[/tex]

Solve for x

[tex]x = -2/-0.02[/tex]

[tex]x = 100[/tex]

Hence, 100 mile would cost both plans the same

Solving (b): Cost when both plans are the same:

In this case, we simply substitute 100 for x in any of the y equation.

[tex]y = 57 + 0.08 * x[/tex]

[tex]y = 57 + 0.08 * 100[/tex]

[tex]y = 57 + 8[/tex]

[tex]y = 65[/tex]

Hence, the amount is $65

Answer:

x = 3.4

Step-by-step explanation:

recall that for a right angle with an internal angle θ,

cos θ = adjacent length / hypotenuse

in our case,

θ = 55 deg

adjacent length = x units

hypotenuse = 6 units

substitute these into the formula above

cos θ = adjacent length / hypotenuse

cos 55 = x / 6    (multiply both sides by 6)

x = 6 cos 55 (use calculator)

x = 3.4415

x = 3.4  (rounded to nearest tenth)

Answer:

The value that completes the square is: c=8

Step-by-step explanation:

Find the value of c that completes the square  [tex]x^2-16x+c[/tex]

The formula used is: [tex]a^2-2ab+b^2=(a-b)^2[/tex]

In the question given the value c can be found by breaking the middle term. we are given -16x while the general formula is 2ab for middle term so,

2(x)(8) = 16x

so, c= 8

Solving:

[tex]x^2-16x+c\\=x^2-2(x)(8)+(8)^2-(8)^2\\=(x-8)^2-64[/tex]

So, the value that completes the square is: c=8

Answer:

43 - Yes

15/3 - No

15/11 - No

-93.98 - No

-136.94 - No

Hope This Helps!

Answer:

The height of the flagpole is 36 feet

Step-by-step explanation:

The given parameters are;

The height of the street light = 10 feet

The shadow cast by the streetlight = 2.5 feet

The shadow cast by the flagpole = 9 foot

The height of the flagpole is given as follows;

The height of the street light/(The shadow cast by the streetlight) = (The height of the flagpole)/(The shadow cast by the flagpole)

∴ The height of the flagpole = (The shadow cast by the flagpole) × (The height of the street light)/(The shadow cast by the streetlight)

By substituting the values, we get;

The height of the flagpole = 9 ft. × 10 ft./2.5 ft. = 36 feet

The height of the flagpole = 36 feet.

1. Sry, I am confused by this one

2. Positive Integer factors of 196 = 2, 4, 7, 28, 196/2, 2, 7, 7, leaves it with no remainder.

3. Neither

4. Prime

5. Composite

6. 80, 96, 112 (pattern: add 16 each time)

7. 29, 36, 38 (pattern: add 7, add 2 and so on)

Hope this helped!!

Also, can I pls, pls, pls have brainliest? I need about 100 more points and 1 brainliest to lvl up to Ace!!

Answer:

$1380 is left of the check

Step-by-step explanation:

2300 times .40 is 920

920 minus 2300 is 1380

( IF THIS IS CORRECT CAN I GET BRAINLYEST)

Answer:

See Below

Step-by-step explanation:

Ok, so in this problem you have some vertical angles. These are angles oppisites from each other. Therefore; d = 52, f = ?, and e = 77. All the angles added together will = 360. Let's add up the angles we know and subtract the whole from 360.

52 + 52 + 77 + 77 = ?

104 + 154 = 258

360 - 258 = 102

Since we know that f and the unlabeled angle are the same, we need to divide this total between the two of them.

102/2 = 51

Therefore;

d = 52

e = 77

f = 51

Answer:

6^(7/3)

Step-by-step explanation:

Given 6^2 * cubed_root(6).

The cube root is also equal to 6^1/3

[Multiply the terms, add the powers]

6^2 * 6^(1/3) = 6^(2 + 1/3) = 6^(7/3)

Answer:

y = -4/3x - 6

Step-by-step explanation:

1. Find the slope. Since we know that a line perpendicular to another is it's opposite reciprocal, or the product of the two is equal to -1, we can find the slope. -4/3 times 3/4 is -1, so -4/3 would be the slope of this line.

2. Plug in the point and slope into the slope-point equation. The equation would be y - 2 = -4/3 * (x + 6).

3. Simplify. The simplified equation would be y = -4/3x - 6.

Answer: y = -4/3x - 6

Answer:

Step-by-step explanation:

so just go look it up in google or sum

hope it helps

Answer:

the answer would be

Step-by-step explanation:

i hope this helped

If you add all four together, you get a %400 increase

Answer:

[tex] \underline{\boxed{if \: y = 2x + \frac{2}{3} \to \: the \: slope\to \boxed{m = 2} }}\\ \underline{\boxed{if \: y = - \frac{1}{2} x - 3 \to \: the \: slope\to \boxed{m = - \frac{1}{2} } }}\\ \underline{\boxed{ if \: y = \frac{2}{3} x\to \: the \: slope\to \boxed{m = \frac{2}{3} }}}\\ [/tex]

Answer:

ASA

Step-by-step explanation:

hope it helps ;)

Answer:

32.39

Step-by-step explanation:

29.99 is 100%

       ?  is 8%

?= 29.99*8/100 about 2.40

so the final cost is the price + tax = 29.99 +2.40= 32.39

Answer:

1/4x+1/4y=?

Step-by-step explanation:

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

Work Shown:

Let

g(x) = ax^3 + 2

h(x) = bx^2 + 1

Plug x = 1/2 into each function

g(x) = ax^3 + 2

g(1/2) = a(1/2)^3 + 2

g(1/2) = (1/8)a + 2

and

h(x) = bx^2 + 1

h(1/2) = b(1/2)^2 + 1

h(1/2) = (1/4)b + 1

In order for f(x) to be differentiable at x = 1/2, the function f(x) must be continuous at x = 1/2. If we had a jump discontinuity here, then there is no way the function is differentiable here.

f(x) is continuous at x = 1/2 when g(1/2) = h(1/2).

This means,

g(1/2) = h(1/2)

(1/8)a + 2 = (1/4)b + 1

8*[(1/8)a + 2] = 8*[(1/4)b + 1]

a+16 = 2b+8

a = 2b+8-16

a = 2b-8

We'll keep this in mind for later.

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

Now let's compute the derivatives

g(x) = ax^3 + 2

g ' (x) = 3ax^2

h(x) = bx^2 + 1

h ' (x) = 2bx

Now plug in x = 1/2

g ' (x) = 3ax^2

g ' (1/2) = 3a(1/2)^2

g ' (1/2) = (3/4)a

and

h ' (x) = 2bx

h ' (1/2) = 2b(1/2)

h ' (1/2) = b

Equate the two items. We do so because we want f(x) to be differentiable at x = 1/2, so that means g ' (1/2) = h ' (1/2)

So,

g ' (1/2) = h ' (1/2)

(3/4)a = b

3a = 4b

a = (4b)/3

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

Earlier we found a = 2b-8.

Since both a = 2b-8 and a = (4b)/3, this means we can equate the right hand sides to solve for b

2b-8 = (4b)/3

3*(2b-8) = 3*(4b)/3

6b-24 = 4b

6b-4b = 24

2b = 24

b = 24/2

b = 12

Which leads to

a = 4b/3

a = 4*12/3

a = 48/3

a = 16

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

The piecewise function

[tex]f(x) = \begin{cases}ax^3+2, \ \ x < \frac{1}{2}\\bx^2+1, \ \ x \ge \frac{1}{2}\end{cases}[/tex]

will update to

[tex]f(x) = \begin{cases}16x^3+2, \ \ x < \frac{1}{2}\\12x^2+1, \ \ x \ge \frac{1}{2}\end{cases}[/tex]

To verify f(x) is differentiable at x = 1/2, you should check to see if both pieces evaluate to the same output when you plug in x = 1/2. In other words, you should check to see if g(1/2) = h(1/2).

Also, you should check to see if g ' (1/2) = h ' (1/2) so that f(x) is fully differentiable here. I'll let you do the check portions.

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

After getting our a and b values, we can finally say that

a+b = 16+12 = 28

9514 1404 393

Answer:

  3 < b-a < 7

Step-by-step explanation:

The maximum difference will occur when the smallest 'a' value is subtracted from the largest 'b' value:

  9 -2 = 7

The minimum difference will occur when the largest 'a' value is subtracted from the smallest 'b' value:

  7 -4 = 3

So, the possible range of values of b-a is ...

  3 < b-a < 7