One-third of the students in the marching
band signed up for the pep band. Then, fiveT
students changed their mind. If there are 31
students in the pep band, how many students
are in the marching band?

Answer:

[tex]x = -9[/tex]

[tex]RQW = 22[/tex]

Step-by-step explanation:

Given

[tex]WQP = 139 + x[/tex]

[tex]RQW = 31 + x[/tex]

[tex]RQP = 152[/tex]

Required

Determine x and WQP

From the attachment;

[tex]RQP = RQW + WQP[/tex]

Substitute 152 for RQP, 31 + x for RQW, 139 + x for WQP

[tex]152 = 31 + x + 139 + x[/tex]

Collect Like Terms

[tex]152 - 31 - 139 = x + x[/tex]

[tex]-18 = 2x[/tex]

Divide both sides by 2

[tex]\frac{-18}{2} = x[/tex]

[tex]x = -9[/tex]

To solve for RQW; substitute -9 for x in RQW = 31 + x

[tex]RQW = 31 + (-9)[/tex]

[tex]RQW = 31 -9[/tex]

[tex]RQW = 22[/tex]

Answer:

-2

Step-by-step explanation:

3 would be your y intercept

-2 is your slope

Answer:

-2

Step-by-step explanation:

[tex]Slope =m\\\\y = -2x +3\\y =\:\:mx+b\\\\m = -2[/tex]

Answer:

[tex]\Large \boxed{\mathrm{Point \ C}}[/tex]

Step-by-step explanation:

Point C is located 5 units from points M.

Point C : (-1, 6)

Point M : (-6, 6)

Distance between two points:

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

[tex]d=\sqrt{(-6-(-1))^2 +(6-6)^2 }[/tex]

[tex]d=\sqrt{(-5)^2 +(0)^2 }[/tex]

[tex]d = \sqrt{25} =5[/tex]

The distance between Point C and point M is 5 units.

Answer:point B

Step-by-step explanation:

Answer:

36 × (how many games he buys) = (the price)

Step-by-step explanation:

36 dollars multiplied by the number of games he buys will equal the price.

Example:

Let's say he bought 3 games.

36 × 3 = 108

So, in this case, he bought three games using $108 .

Answer:

This is my answer is

Force=mass × acceleration.

120=mass × 2.

120=2m.

mass=60kg

Answer:

-3x-5

Step-by-step explanation:

-3x-6+(-1)

-3x-6-1

-3x-5

Answer:

$190,000 goes to fund A while $60,000 goes to fund B to earn an annual interest income of $9,000

Step-by-step explanation:

Here, we are interested in knowing the way the money should be divided between the interest rates to give an annual interest totaling $9,000.

Let’s have the amount going to Fund A as $x while $y is the amount going to Fund B.

Although, we do not know the value of these amounts, we know that they both total $250,000

Thus, mathematically;

x + y = 250,000 •••••••••••(i)

Now also, let’s work with the percentages to get the interests:

For fund A;

2.4% of x = interest

2.4/100 * x = 2.4x/100

For fund B;

7.4% * y = interest

7.4/100 * y = interest

7.4y/100 = interest

Adding both gives a total of $9,000

Mathematically, that would be;

2.4x/100 + 7.4y/100 = 9,000

Multiply through by 100;

2.4x + 7.4y = 900,000 •••••••(ii)

From i, x = 250,000 -y

Substitute this into ii

2.4(250,000-y) + 7.4y = 900,000

600,000 -2.4y + 7.4y = 900,000

Collecting like terms, we have;

7.4y-2.4y = 900,000-600,000

5y = 300,000

y = 300,000/5

y = $60,000

But x = 250,000 - y

x = 250,000 - 60,000

x = $190,000

Answer:

[tex]f^{-1}(x)=\frac{3x}{2} +6[/tex]

Step-by-step explanation:

hope this helps

Answer:

21). WX = 10

22). VW = 22

23). WY = 20

24). VX = 32

25). WZ = 30

26). VY = 42

Step-by-step explanation:

In the figure attached,

V, W, X, Y and Z are collinear.

VZ = 52, XZ = 20 and WX = XY = YZ

21). Since XZ = 20

     XY + YZ = 20

     WX + WX = 20 [Since, XY = WX = YZ]

     2(WX) = 20

     WX = 10

22). VZ = VW + WX + XY + YZ = 52

     VW + 3(YZ) = 52 [Since, WX = XY = YZ]

     VW + [tex]3(\frac{XZ}{2})[/tex] = 52

     VW + [tex]\frac{3}{2}\times 20[/tex] = 52

     VW = 52 - 30 = 22

23). WY = WX + XY

             = 2(WX)

             = 20

24). VX = VW + WX

             = 22 + 10

             = 32

25). WZ = 3(WX)

             = 30

26). VY = VZ - YZ

            = 52 - 10

            = 42  

Step-by-step explanation:

this problem seeks to test our knowledge on word problems and algebra

Solution

let the base be x, and

the height h = 2x+4

We know that area of a triangle is given as

[tex]A= \frac{1}{2} b*h[/tex]

substituting our given values we have

[tex]168= \frac{1}{2} x*(2x+4)\\\\168= \frac{2x^2+4x}{2} \\\\168= x^2+2x\\\\[/tex]

re-arranging we have

[tex]x^2+2x-168=0\\\\[/tex]

we can now find two factors that will add up to give 2 and multiply to give -168

they are 14 and -12

[tex]x^2-14x+12x-168=0\\\\x(x-14)+12(x- 14)=0\\\\x+12=0\\\\x=-12\\\\x-14=0\\\\x=14[/tex]

The possible base of the triangle is 14 in

and the height is

[tex]h= 2x+4\\\\h=2(14)+4\\\\h= 28+4\\\\\h= 32 in[/tex]

Answer:

2

Step-by-step explanation:

Given expression:

y^2 - 5y - 4

y = 6

Substitute y = 6 into the expression

y^2 - 5y - 4

6^2 - 5(6) - 4

(6*6) - (5*6) - 4

36 - 30 - 4

36 - 34

2

The value of the expression y^2 - 5y - 4 is 2 when y = 6

Answer:

-15

Step-by-step explanation:

Answer:

Sorry, but I will need more info to solve this problem. Like how many oz they pour in for each load or how often they do a load.

The acceleration formula is [tex]a=\frac{v-v_0}{t}[/tex]

Plug in the values we know.

[tex]a=\frac{75-0}{8}[/tex]

[tex]a=\frac{75}{8}[/tex]

[tex]a=9.375[/tex]

The car's acceleration is 9.375[tex]\frac{m}{s^2}[/tex]

Answer:

NO SOLUTION

Step-by-step explanation:

3/2x-2/3x=2

find the common denominater which is 6 and whatever you do to the bottom you have to do to the top, in turn you'll get

6/6x-6/6x=2

In this case since their both the same you subtract x from x and when you do that you get,

NO SOLUTION = 2

Answer:

x= 12/5 =2.400

Step-by-step explanation:

Sorry if i'm wrong but i hope i'm not hope u get a good grade : )

An irrational number cannot be expressed as a ratio between two numbers and it cannot be written as a simple fraction because there is not a finite number of numbers when written as a decimal. Instead, the numbers in the decimal would go on forever, without repeating.

Answer:

Irrational number does not terminate and do not repeat. I hope this can make you understand what does irrational number is. Hope it helps you

Step-by-step explanation:

Answer:

(B) Subtract 3x from both sides of the equation, and then divide both sides by 2.

Can't read the second question fully.

(A) 0.53

Step-by-step explanation:

Number 1:

If we have the equation [tex]3x + 2 = 5x[/tex], our first goal is to get rid of the x term on one side.

To do this we can subtract 3x from both sides. This leaves our equation to [tex]2=2x[/tex]. To find x, we want to divide both sides by 2 since 2x divided by 2 is just x. Our goal is to isolate x.  This leaves [tex]x=1[/tex].

I couldn't read Number 2 fully - I'm sorry :c

Number 3:

Given the equation [tex]3(x+0.2)=2.2[/tex], we want to isolate x on one side.

To do this, we first apply the distributive property to the left side.

[tex]3x + 0.6 = 2.2[/tex]

Now subtract 0.6 from both sides:

[tex]3x=1.6[/tex]

And divide both sides by 3.

[tex]x=0.5\overline{3}[/tex]

This rounds to 0.53.

Hope this helped!

Answer:

B

28.78

A

Step-by-step explanation:

Equation

3x + 2 = 5x

The first step is to subtract 3x from both sides.

3x - 3x + 2 = 5x - 3x

2 = 2x

The next step is to divide by two. That's the 2 in front of the two x.

2/2 = 2x/2

1 = x

So the answer must be B

The others are just not done in the right order and give wrong answers.

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

Sorry didn't see the other two.

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

problem 2

Janette

Total Cost                  555.28

4 Tires   (4*122.57)    488.28         (Subtract)

Installation                                              65.00

Monique

Total Cost                    585.34

Tires (4*136.71)             546.84    (Subtract)

Installation                                             38.50

Difference                                              26.50 (Subtract from 65)

Problem 3

3(x + 0.2) = 2.2

3x + 0.6 = 2.2

3x + 0.6 - 0.6 = 2.2 - 0.6

3x = 1.6

x = 1.6/3

x = 0.53

Answer:

9 people per 32 square ft

(or 9:32)

Step-by-step explanation:

First find the area:

8*8=64 sqr ft

Next create a ratio

18 people to 64'sqr

Now we try reducing

18/2 = 9

64/2 = 32

So the final ratio is 9 people per 32 square ft

9:32

Hope this helps! :)

Answer:

n+8+6

Sum means = and and means + so n+8+6

Answer:

18.84 cm

Step-by-step explanation:

P = 2 × pi × r

= 2 × 3.14 × 3cm

= 6cm × 3.14

= 18.84 cm

Answer:

9/2 π

Step-by-step explanation:

[tex]Perimeter = \frac{\pi r^2}{2} \\r = 3\:cm\\\\P = \frac{\pi \times 3^2}{2}\\ \\P = \frac{\pi \times 9}{2}\\ \\P = \frac{9 \pi}{2} \\\\P = \frac{9}{2} \pi[/tex]

Answer:

Step-by-step explanation:

oh yea  he misplaced the 8

Answer: 27

Step-by-step explanation:

Answer:

c = 27

Step-by-step explanation:

Solve for c:

(2 c)/3 = 18

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (2 c)/3 = 18 by 3/2:

(3×2 c)/(2×3) = 3/2×18

Hint: | Express 3/2×2/3 as a single fraction.

3/2×2/3 = (3×2)/(2×3):

(3×2)/(2×3) c = 3/2×18

Hint: | Express 3/2×18 as a single fraction.

3/2×18 = (3×18)/2:

(3×2 c)/(2×3) = (3×18)/2

Hint: | Cancel common terms in the numerator and denominator of (3×2 c)/(2×3).

(3×2 c)/(2×3) = (2×3)/(2×3)×c = c:

c = (3×18)/2

Hint: | In (3×18)/2, divide 18 in the numerator by 2 in the denominator.

18/2 = (2×9)/2 = 9:

c = 3×9

Hint: | Multiply 3 and 9 together.

3×9 = 27:

Answer: c = 27

Answer: [tex]\frac{6(#30)+3(20)}{60}[/tex]

Step-by-step explanation:

6(30)+3(20)

=180+60

= 240/60

=4 hours

Answer:

1a. A

1b. C

2 and 3 you have to draw

4a. 90 degree angle

4b. 180 degree angle

5a. 112 degrees

5b. 145 degrees

Step-by-step explanation:

for 5 you just subtract the given values from 360

Answer:

1a) A

(both B and C intersect at A)

1b) not sure

2a) draw 270 degree angle

360/4 = 90

90+90+90 = 270 = 3/4

2b) draw an angle less than 90 degree to get an acute angle

3a) first draw a 90 degree angle then divide the angle into two half and you ll get an angle of 45 degrees

90/2 = 45

but since you re not allowed to use compass or protactor so you might not get exact 45 but near to it

3b) draw a 90 degree angle facing downward and thats 270 degree

hope you get what im trying to say if not you can ask me again

4a) acute angle (90 degree)

4b) reflex angle (180 degree)

5a) 112 degree

118 + 130 + x = 360

248 + x  = 360

x  = 360 - 248

x  = 112

5b) 145 degree

360 - 215 = 145

im posting the solutions and the answers of your previous questions here

6a) a = 60 degree

6b) b = 27 degree

because sum of interior angles of a triangle is 180

7a) b = 60 degree and a = 30 degree

7b) x = 36 degree and x = 36 degree

isosceles triangle has 2 same angles and 1 different

x + x + 108 = 180

2x + 108 = 180

2x = 180 - 108

2x = 72

x = 72/2

x = 36

8a) x = 95 degree

8b) a = 100 degree

9) steps;

draw a line segment QR

draw 120 degree angle at point Q

now open the compass of 2cm (or of your own choice) and draw a small arc from point Q such that it intersects line PQ and QR and name that point between QR as O

now from point O, open your compass of same measurement and draw an arc that cuts the previous arc

now draw a line from point Q to join the new formed arc

now using a protactor measure both the newly formed angles

Step-by-step explanation:

Answer:

Both climbers rested on the wall at a constant height for 2 minutes.

Step-by-step explanation:

Answer:

125

explanation:

I took the 2020 mathematics edg test

Answer:

B) 125

Step-by-step explanation:

I took the quiz.

Answer:

A. 1/36

Step-by-step explanation:

The probability of Becky tossing 6, 2 times in a row is given by the following ways:

1. If you toss the die the first time you get an odd of 1/6

2. If you toss the die the second time you get another odd of 1/6

3. You multiply by odds 1/6 with 1/6

= 1/6 x 1/6

= 1/36

Therefore option a answers the question correctly.

Answer:

Your answer would Be A.

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Answer: A(t) = 100t^2 + 500t + 625

3,025 square pixels

Step-by-step explanation:

A function assigns the values. The area of the square image after 3 seconds is 3,025 sq. pixels.​

A function assigns the value of each element of one set to the other specific element of another set.

A.) The area of the video game will be,

A(s) = [s(t)]²

A(s) = (25+10t)²

A(s) = 625 + 100t² + 500t

A(s) = 100t² + 500t +625

B.) The value of A(s(3)) will be,

A(s(t)) = 100(25+10t)² + 500(25+10t) + 625

A(s(t)) = 10,000t² + 50,000t + 62,500 + 12,500 + 5,000t + 625

A(s(t)) = 10,000t² + 55,000t + 75,625

A(s(3)) = 10,000(3)² + 55,000(3) + 75,625

A(s(3)) = 270,000 + 165,000 + 75,625

A(s(3)) = 510,625

The area of the square image after 3 seconds is,

A(s) = 100t² + 500t +625

A(3) = 100(3)² + 500(3) +625

A(3) = 900 + 1500 +625

A(3) = 3,025

Hence, The area of the square image after 3 seconds is 3,025 sq. pixels.​

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