The equation C = 20n + 35 represents the relationship between the cost of school volleyball uniforms,
C, in dollars, and the number of uniforms ordered, n.
The uniform company requires that the school order a minimum of 15 uniforms.
The school has a maximum of $600 to spend on the uniforms.
Determine the possible values for n and C in this situation
.

Answer:

A, E, F

Step-by-step explanation:

A: the angles are less than 90 degrees

E: all sides have equal lengths

F: has at least 2 sides equivalent in length

Answer:

please mark me as brainleast

Answer:

239 mm^2

Step-by-step explanation:

We will split the figure into 3 pieces

The bottom rectangle

A = l*w = 7*3 = 21 mm^2

The top rectangle

A = l*w = 5*10 = 50 mm^2

The right triangle

A = 1/2 b*h = 1/2 ( 16) * (16+5) = 8 * (21) = 168 mm^2

The total area is 21+50+168 =239

Answer:

B. 23,5

Step-by-step explanation:

Answer:

I think it’s A B B A and the last one is D is believe

Step-by-step explanation:

Answer:

2. A

3. A

4. D

5. A

6.

a) 180-n =  m

b) 180-40 = 140

7.  a) 161-(38+80)=a

b)38+80=118

b)161-118 = 43, a = 43

8. a) NMQ, and NQR

    b) NMR and NPR

Step-by-step explanation:

Remember, two vertical angles are always congruent or the same. Complimentary angles equal 90 degrees and supplementary angles equal 180 degrees.

Answer:

22h−9.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a distance = rate times time problem where you are calling the rate "speed" instead. So our formula for distance then is distance = speed times time which is

d = st

The distance traveled in 126 miles and the time it took to do this was 3 hours. Filling in those values gives us

126 = s3 or

126 = 3s since multiplication is commutative. Solve for s by dividing both sides by 3 to get

s = 126/3 which is

s = 42 miles per hour

Answer:

[tex] \frac{1}{21} [/tex]

Step-by-step explanation:

refer to solution in picture

By simplifying the given expression, the expression [tex]\sqrt[3]{3}[/tex] * [tex]\sqrt[5]{3^6}[/tex] is equivalent to [tex]3^(23/15).[/tex]

To simplify the given expression,  combine the two radicals using the property of exponentiation.

First, simplify the expression inside the second radical:

√[5]{[tex]3^6[/tex]}

Since the index is 5,  rewrite the expression as:

[tex](3^6)^(1/5)[/tex]

Using the property of exponentiation, multiply the exponents:

[tex]3^(6/5)[/tex]

Now combine this result with the first radical:

[tex]3\sqrt3 * 3^(6/5)[/tex]

Since ∛3 can be written as [tex]3^(1/3)[/tex],  rewrite the expression as:

[tex]3^(1/3) * 3^(6/5)[/tex]

To multiply two numbers with the same base, add the exponents:

[tex]3^(1/3 + 6/5)[/tex]

To simplify further, we need a common denominator for the fractions:

[tex]3^(5/15 + 18/15)[/tex]

Combining the fractions:

[tex]3^(23/15)[/tex]

Therefore, the given expression is equivalent to [tex]3^(23/15).[/tex]

Learn more on equivalent on https://brainly.com/question/2972832

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Answer:

3

Step-by-step explanation:

Answer: The formula involves the dimension of the space available divided by the size of the original. In this case, that is 94 divided by 72. The answer is 1.31. Move the decimal point and that is a 131 percent enlargement.

Step-by-step explanation:

Answer:

A & D

Step-by-step explanation:

A. acute because all angles are less than 90 degrees

D. scale because all sides have different

if you look up the definition of the properties you will see they don't apply

Answer:

F.Obtuse angle

because the angles are between 90-180

the area is 180 cm. to find the perimeter you would do 15+15+14+14 to get 54 cm. So for area you do (l×w) which is 15×14=180.

Answer:

5y = x +15

Step-by-step explanation:

here you have to multiply both sides with 5 to make it a general form ,

5(y) = 5(1/5x) + 5(3)

5y = x + 15

Got a little help from app called Gauthmath. It got concept videos and tutors. You can check it on Play Store and App Store. Really good app in my opinion.

Hope this helps. :)

For this case we have the following variables:

x: represents time, in seconds at the start of the test.

y: represents the speed, in miles per hour.

We have then that:

x = 0 ---> y = 0

x = 12 ---> y = 0

Answer:

the electric car is not moving at 0 seconds and 12 seconds

I hope this helps!

the electric car is not moving at 0 seconds and 12 seconds

I hope this helps!

Answer:

the answer would be 1/22 = x/3

Step-by-step explanation:

because 1 gallon of gasoline got him to travel 22 miles so your trying to solve for x for 3 gallons

Answer:

[tex]x^3 - 10 x^2 -53x -42 = ( x + 1)(x + 3) (x - 14)[/tex]

Step-by-step explanation:

 [tex]x^3 - 10x^2 -53x - 42[/tex]

The factors of 42 : ±1 , ±2 , ±3 , ±6, ±7, ±14, ±21 , ±42

Using trial and error method we will find the first root of the polynomial.

1 : ( 1 )³ - 10 ( 1 )² - 53 ( 1 ) - 42

     1 - 10 - 53 - 42  ≠ 0

   Therefore 1 is not a root

-1 : ( -1 )³ - 10 (- 1 )² - 53 (- 1 ) - 42

      - 1 - 10 + 53 - 42

       53 - 53 = 0

Therefore - 1 is a root of the polynomial.

Therefore ( x + 1) is a factor.

Now by long division or by using synthetic division we can find other factors.

Synthetic Division :

                             -1 | 1      -10       -53      - 42

                                | 0     - 1          11          42

                                |______________________

                                  1      - 11       - 42        0

Therefore ,

[tex]x^3 - 10 x^2 -53x -42 = ( x + 1)(x^2 - 11x +42)[/tex]  ------ ( 1 )

Next further factorize x² - 11x - 42

   x² - 11x - 42

= x² -  14x + 3x - 42

=x(x - 14) + 3 (x - 14)

=(x + 3 )(x - 14)

Therefore ,

[tex]x^3 - 10 x^2 -53x -42 = ( x + 1)(x + 3) (x - 14)[/tex]

Answer:

Formula: C= $15n + $250

50 People: $1000

100 People: $1750

Formula: n= (C- $250)/ 15

$4000 Budget: 250 Guests

$2000 Budget: 116.67 Guests

Step-by-step explanation:

Since the rental is $250 with an additional charge of $15 per person, we write this as C = $250 + $15n.

With the given equation, simply substitute n for the amount of guests.

C = $250 + $15(50) = $1000

C = $250 + $15(100) = $1750

To solve for n, everything would need to be moved to isolate n. This can be achieved by first subtracting $250 from each side: C- 250= 15n

Then divide both sides by 15, making the new equation: (C-250)/15 = n

Again, substitute C with allowed cost to find the amount of guests allowed.

n = ($4000- 250)/ 15 = 250 People

n = ($2000-250)/15 = 116.67 People

Answer:

56 degrees

Step-by-step explanation:

The tangent of any angle in a right triangle is equal to its opposite side divided by its adjacent side.

Therefore, we have the equation:

[tex]\tan x^{\circ}=\frac{15}{10}[/tex]

To isolate [tex]x[/tex], take the inverse tangent of both sides:

[tex]\tan^{-1}(\tan (x^{\circ}))=\tan^{-1}(\frac{15}{10}),\\x^{\circ}=\arctan(\frac{15}{10})=56.30993247\approx \boxed{56^{\circ}}[/tex]

*Recall [tex]\tan^{-1}(\tan x)=x, x\in (-\frac{\pi}{2}, \frac{\pi}{2})[/tex]

Answer:

DC = 13units

Step-by-step explanation:

For a square, all the sides are equal, hence;

AB = BC

x+6 = 2x-1

x-2x = -1-6

-x = -7

x =7

Also DC =AB

DC = x+6

DC = 7+6

DC = 13units

Hence the length of DC is 13units

Answer: 13 units

Step-by-step explanation:

DC = 13 units

Step-by-step explanation:

For a square, all the sides are equal, hence;

AB = BC

x+6 = 2x-1

x-2x = -1-6

-x = -7

x =7

Also DC =AB

DC = x+6

DC = 7+6

DC = 13 units

Hence the length of DC is 13 units

Answer:

Step-by-step explanation:

Answer:

The coordinates of the point N is (2,3)

Step-by-step explanation:

For us to find the midpoint between two points

We use the midpoint formula which is;

(x,y) = (x1 + x2)/2, (y1 + y2)/2

We start by finding the midpoint of AB to get the coordinates of the point M

A(-1,3) and B(7,-3)

(x,y) = (-1 + 7)/2, (3-3)/2 = (6/2,0/2) = (3,0)

Now that we have the coordinate of M, we can find the midpoint of CM to get the coordinates of N

C(1,6) and M (3,0)

(x,y) = (1 + 3)/2, (6+0)/2 = (4/2, 6/2) = (2,3)

Answer:

[tex](x - 1)(x + 2)(x - 1)=(x-1)^{2}(x+2)[/tex]

Step-by-step explanation:

Use the product rule [tex]x^{a} x^{b}=x^{a+b}[/tex]

Answer:

x^3 -3x + 2

Step-by-step explanation:

(x - 1)(x - 1) =

x^2 -2x + 1 (x+2) =

x^3 + 2x^2

      -2x^ - 4x

                  x + 2

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

x^3 -3x + 2

Answer:

7,8

Step-by-step explanation:

n^2+(n+1)^2=113; this is the information we are provided in the question.

n^2+n^2+2n+1=113 ; just expanding the numbers

2n^2+2n-112=0 ; moving everything to the same side

n^2+n - 56= 0 ; divide everything by two

(n-7)(n+8)=0 : factor the polynomial

so answers for n are: 7 and -8. since the questions asks for positive numbers -8 cannot be correct.

so n=7

n+1 = 8

Answer:

$750

Step-by-step explanation:

Primero, Lucas gastaba $150 cada mes en gaseosas.

Al decidir cuidar su salud, deja de comprar gaseosas, entonces ya no gasta esos $150 al mes.

Es decir, a dejado de gastar $150 al mes.

Nosotros queremos saber:

¿cuánto dinero a dejado de gastar en cinco meses?

Bueno, si en un solo mes a dejado de gastar $150

En 5 meses a dejado de gastar 5 veces esa cantidad, que es:

5*$150 = $750

Answer:

Option c

Step-by-step explanation:

multiply the expression in the parentheses by 4 and you get 12x+16

a doesn't fit, x³ is x*x*x, not plus

b 14x-2x is 12x, not 16x

d got a 5x expression with no correspondence on the other side and 12x² isn't 17x²

Answer:

Step-by-step explanation:

First we figure out how fast Nina can run. If Nina can run 8 km in 55 minutes, then her rate is

[tex]\frac{8km}{55min}=.145\frac{km}{min}[/tex] and we can use that in a d = rt table:

                 d        =        r        *        t

Nina                            .145

Jo

Now we can fill in the distance which is 6 for both, since that is the distance where they met:

                d        =        r       *        t

Nina         6        =     .145

Jo             6        =

Now we go to the info given about the time. If Jo started the race 3 minutes after Nina, that means that Nina is running 3 minutes longer than Jo. Filling in the time info:

                d        =        r        *        t

Nina          6       =       .145    *      t + 3

Jo              6       =         r       *         t

As you can see, right now we have 2 unknowns in Jo's row. But we don't have to! We will go to Nina's row where the only unknown is time and solve for t. If d = rt, then

6 = .145(t + 3) and

6 = .145t + .435 and

5.55 = .145t so

t = 38.379 minutes. This means that Jo was running 38.379 minutes when she caught up to Nina (it took Nina 3 minutes longer than that to go 6 km since she was already running for 3 minutes when Jo started the race). If Jo's time is 38.379, we can use that in her row for t and solve for r. If d = rt, then

6 = r(38.379) and

r = .16 km/min

Let's check it without the rounding (rounding takes away from the accuracy). If 6 = .145(t + 3) and Nina's rate not rounded is .145454545 and t = 38.37931034, then, rewriting without rounding:

6 should equal .145454545( 38.37931034 + 3)

6 ?=? .145454545(41.37931034)

6 ?=? 6.0 so

Jo's rate is .16 km/min rounded

Answer:

to do this we have to divide 43 by 83

0.51807228915

so the frequency is about 51.8%

Answer:

x = 3

Step-by-step explanation:

since they are similar use these ratios

x/9 = 1/3

do cross multiplication

9*1 = 3*x

9/3 = x

3 = x

Answer:

1

Step-by-step explanation:

(2*3-1)-(1+3)

(6-1)-4

5-4

1

If this helps you mark as brainlist

Answer:

putting the Given values in equation

(3*3-1)-(1+3)

=8-4

=4