2] The band has a ratio of boys to girls of 5 to 4. There are 171 students in the band.
(Make sure to write out in words first)

How many are boys?



How many are girls?

Give work for each

Answer and Step-by-step explanation:

Question 4:

We need to solve for y, so we need to use the cosine trig function, which is adjacent divided by hypotenuse.

[tex]cos(21) = \frac{y}{18}\\\\18(cos(21)) = y = 16.8\\\\\\[/tex]

Question 5:

We need to use the sine trig function, which is opposite divided by hypotenuse.

[tex]sin(43) = \frac{31}{x} \\\\x = \frac{31}{sin(43)} = 45.45[/tex]

#teamtrees #WAP (Water And Plant)

Answer:

[tex] \frac{2}{3} [/tex]

Step-by-step explanation:

⅓×2

When multiplied by 2 will be;

[tex] \frac{1}{3} \times \frac{2}{1} [/tex]

So you 2×1=2

3×1 is equal to 3

So the final answer will be;

[tex] \frac{2}{3} [/tex]

Answer:

2/3

Step-by-step explanation:

1/3 × 2/1

1 × 2/ 3× 1

= 2/3

hope it helps!

Answer:

$39.528

Step-by-step explanation:

61*0.6 = 36.6

36.6*1.08 = $39.528

Answer:

39.53

Step-by-step explanation:

Multiply 61 by .4. The answer is 24.4. Subtract 24.4 from 61. This is the sale price after the discount but before the sales tax. The answer to that is 36.6. Multiply 36.6 by .08, the answer is 2.928. Round to the nearest hundreths. Add this to 36.6. You're final answer is 39.53.

Answer:

The President nominates people for appointment as Federal Judges. The nominees are approved by the Senate, but the President picks the nominees. Federal Judges are appointed for life but can be impeached

Step-by-step explanation:

Answer:

6:20 PM

Step-by-step explanation:

They got there at 8:30 PM, and 2 hours and 10 minutes prior would have been 6:20 PM.

Answer:

£ 21552.13

Step-by-step explanation:

P= £18790

r =4.9% = [tex]\frac{4.9}{100}=0.049[/tex]

t = 3 years

I = Prt

I = 18790 * 0.049 * 3

 =£ 2762.13

After 3 years , the amount in Dan's account = 18790 + 2762.13

                                                                         = £ 21552.13

Answer:

6.84

Step-by-step explanation:

Answer:

[tex]a = \frac{y - y}{x - x} = \frac{5 - 5}{2 + 4 } = 0[/tex]

Step-by-step explanation:

I think that is the answer

Answer:

Negative Integer

Step-by-step explanation:

-8 + (-9) can be rewritten as -8 - 9, which is -17.

Since -17 is a negative number, it is a negative integer

Hope this helps!

Answer:

$21

Step-by-step explanation:

2Lbs. = $6

(2/2) = (6/2)

1Lbs. = $3

(1*7) = (3*7)

7Lbs = $21

Since strawberries are priced on weight, you first need to find the weight of one pound. The prices need to be proportional, so whatever you do to one side of the equal sign, you need to do to the other. Divide both numbers by 2. One pound costs three dollars. Then multiply both numbers by 7. Seven pounds of strawberries cost twenty-one dollars

Answer:

D

Step-by-step explanation:

Answer:

B) 178 mi

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]78^{2} + 160^{2}=c^{2}[/tex]

6084+25600=[tex]c^{2}[/tex]

31684=[tex]c^{2}[/tex]

[tex]\sqrt{31684} =\sqrt{c^{2}}[/tex]

178=c

Answer: i dont know if this is the right Question but it is 7 and 9 on the one i was on

Step-by-step explanation:

Answer:

f(1)= 5

so x=1

f(5)= 5(5-1) = 20

The value of f(5) is 3125.

In mathematics, a function is represented as a rule that produces a distinct result for each input x. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

f(1) = 5 and f(n) = 5f(n − 1)

Now, for finding the the 5 th term we have to find the remaining four term before the 5th term.

So, n=2

f(2) = 5f(1)

f(2)=  5(5)

f(2)=  25

Now, n=3

f(3) = 5f(2)

f(3)=  5(25)

f(3)=  125

Now, n=4

f(4) = 5f(3)

f(4)=  5(125)

f(4)=  625

Now, n=5

f(5) = 5f(4)

f(5)=  5(625)

f(5)=  3125

Hence, the value of f(5) is 3125.

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Answer:

false

Step-by-step explanation:

He needs little over 5 gallons

The given equations are  

12x + 4y = 152 ...........1

32x + 12y = 420 .....2

Multiplying equation 1 by 3 to make  coefficient of y same we have:

36x+12y= 456

32x+12y=420

Subtracting the two equations we have:

4x=36.

Dividing by 4 both sides  

x= 9.

Substituting x value in equation 1

12(9) + 4y = 152

108+4y=152

Subtracting 108 both sides: 4y=44.

Dividing both sides by 4.

y=11.

cost of the vegetarian lunch is $11.

In the equations, x represents the cost of a chicken lunch and y represents the cost of a vegetarian lunch.

Answer:C

Step-by-step explanation:

Answer:

Bot ratios are equivalent?  YES

Step-by-step explanation:

The Semi Scooper Sundae has 10 scoops of ice cream and 6 cherries. The ratio of cherries to scoops of ice cream is:

[tex]\frac{6}{10}[/tex]

Simplifying:

[tex]\frac{6}{10}=\frac{3}{5}[/tex]

Ratio= 3:5

The Super Scooper Sundae has 15 scoops of ice cream and 9 cherries. The ratio of cherries to scoops of ice cream is:

[tex]\frac{9}{15}[/tex]

Simplifying:

Ratio= 3:5

Bot ratios are equivalent?  YES

Answer:

2hors she dindid hine his work

Answer:

favourable outcomes /total outcomes

put ur question in the above formula

I'll get ur ans

Answer:

Domain: [0, ∞)

Range: [7850, ∞)

Step-by-step explanation:

A function is defined by the set of ordered pairs having different output values for every input value.

In the graph attached, for every input value (x-coordinates) there is a unique output (y-coordinates) value.

Therefore, graph represents a function.

Domain of the given function → [0, ∞)

Range of the function → [7850, ∞)

Answer:

24 tickets were not sold

Step-by-step explanation:

Here, we want to get the number of unsold tickets

In each row, there are 15 seats

In the Cinema, there are 14 rows

The total number of seats is thus;

15 * 14 = 220 seats

If all the 220 seats were booked, the total amount of ticket sales would have been;

220 * 6.5 = £1430

But in this case, the amount generated is £1,274

Hence, the difference in these amounts will be;

1430 - 1274 = £156

To get the number of tickets unsold, we have to divide the amount here by the price per unit ticket

Mathematically, we have this as;

£156/£6.5 = 24

Answer:

1. the decimal point moves to the right 2 spaces

2. the decimal point moves to the right 4 spaces

3. the decimal point moves to the right 3 places

Answer:

Step 1:

Start by setting it up with the divisor 9 on the left side and the dividend 25 on the right side like this:

   9 ⟌ 2 5  

Step 2:

The divisor (9) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:

       0    

   9 ⟌ 2 5  

Step 3:

Multiply the divisor by the result in the previous step (9 x 0 = 0) and write that answer below the dividend.

       0    

   9 ⟌ 2 5  

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.

       0    

   9 ⟌ 2 5  

     - 0    

       2    

Step 5:

Move down the 2nd digit of the dividend (5) like this:

       0    

   9 ⟌ 2 5  

     - 0    

       2 5  

Step 6:

The divisor (9) goes into the bottom number (25), 2 time(s). Therefore, put 2 on top:

       0 2  

   9 ⟌ 2 5  

     - 0    

       2 5  

Step 7:

Multiply the divisor by the result in the previous step (9 x 2 = 18) and write that answer at the bottom:

       0 2  

   9 ⟌ 2 5  

     - 0    

       2 5  

      1 8  

Step 8:

Subtract the result in the previous step from the number written above it. (25 - 18 = 7) and write the answer at the bottom.

       0 2  

   9 ⟌ 2 5  

     - 0    

       2 5  

     - 1 8  

         7  

Step-by-step explanation:

Answer:

Option A: 4 units is the correct answer.

Step-by-step explanation:

Given that:

Layana's house is located at ([tex]2\frac{2}{3}, 7\frac{1}{3}[/tex])

Store is located at ([tex]-1\frac{1}{3},7\frac{1}3}[/tex])

We can find distance between two points by using distance formula.

S = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

The points can also be written as;

House (8/3, 22/3)

Store (-4/3, 22/3)

Putting values in the formula.

S = [tex]\sqrt{\frac{8}{3}-(-\frac{4}{3}))^2+(\frac{22}{3}-\frac{22}{3})^2[/tex]

S = [tex]\sqrt(\frac{8}{3}+\frac{4}{3}+0[/tex]

S = [tex]\sqrt{(\frac{8+4}{3})^2[/tex]

S = [tex]\sqrt{(\frac{12}{4})^2[/tex]

S = [tex]\sqrt{(4)^2[/tex]

S = 4 units

Hence,

Option A: 4 units is the correct answer.

Answer:

Jake does have enough to buy a dog bone that cost $1.49

Step-by-step explanation:

6 quarters = $1.50

2 dimes = $0.20

1 nickel = $0.05

So add it all together: $1.50 + $0.20 + $0.05 = $1.75

Answer:

18/6= 1 1/8

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

Answer:

B.

Step-by-step explanation:

A fourth-degree trinomial with a leading coefficient of 3 is (B) [3x⁴-8x³=x+2].

So, we know that a trinomial is made up of 3 terms.

So, such expression is: 3x⁴ - 8x³ = x + 2

Therefore, a fourth-degree trinomial with a leading coefficient of 3 is (B) [3x⁴ - 8x³ = x + 2].

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