There are 8 more boys than girls in the class. If there is a total of 32 students in the class, how many are boys

Answer:

  plot two points and draw a line through them

Step-by-step explanation:

The graph is created for this the same way it is for any function: find some points on the graph, plot them, and draw an appropriate curve through them.

Since this is a linear equation, the graph is a straight line. Only two points are needed to allow you to plot the entire line.

For b=0, the point is (b, C) = (0, 4.95)

For b=5, the point is (b, C) = (5, 24.90)

The graph might look like the attached.

_____

For b=5, the equation gives ...

  C = 4.95 +3.99(5) = 4.95 +19.95 = 24.90

Answer:

19

Step-by-step explanation

Let the sum of n terms of A.P. = Sn

Answer:

1357 sq.m

Step-by-step explanation:

50*32= 1600

27*9= 243

Area left = 1600 - 243 = 1357

Answer:

x = -2

Step-by-step explanation:

-2x + 4x = -4 + 0

2x = -4

2x/2 = -4/2

x = -2

Hope this helps.

Answer:

The answer is -2

Step-by-step explanation:

You add the 4x to the -2x to get 2x, then you add -4 to zero to get -4. You are then left with 2x=-4 meaning that x would be -2

Answer:

5

Step-by-step explanation:

Whenever you multiply square roots that have the same number inside the radicand, you get the number under the radicand. For example, the square root of 4 squared will equal four. Similarly, you are simply squaring the square root of 5, so you should get 5 as your answer.

Answer:

  D.  miles/hour

Step-by-step explanation:

The units analysis tells you the units are ...

  [tex]\dfrac{\text{m}}{\text{s}}\times\dfrac{\text{s}}{\text{h}}\times\dfrac{\text{mi}}{\text{m}}=\boxed{\dfrac{mi}{h}}[/tex]

Units of meters and seconds cancel, leaving miles/hour.

The simplified expression of 1.5g - 10 + 6.5g - 3 is 8g - 13.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

Subtraction = Minus of any two or more numbers with each other called subtraction.

As per the given,

1.5g - 10 + 6.5g - 3

Bring near of likely terms,

1.5g + 6.5g - 10 - 3 = 8g - 13

Hence "The simplified expression of 1.5g - 10 + 6.5g - 3 is 8g - 13".

To learn more about the arithmetic operators,

brainly.com/question/25834626

#SPJ2

Answer:

X=1/5

Step-by-step explanation:

Please see the attachment.

Answer:

Maybe? kinda confused

Step-by-step explanation:

3/4x+1/4=2x

-3/4       -3/4

  x+1/4=1 1/4

      -1/4  -1/4

           x=1

Answer: When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles. Example: a and e are corresponding angles. When the two lines are parallel Corresponding Angles are equal.

Answer:

50

Step-by-step explanation:

2(3^2+4^2)=

3^2/(3x3) = 9

4^2/(4x4) = 16

9+16=25        

so.... rewritten it is

2(25)= or 2 x 25= 50

Answer:

36°

Step-by-step explanation:

I’m assuming <AOC is a right angle.

6x-12+3x+30=90

9x+18=90

9x=90-18

9x=72

x=8

<AOB=6x-12=6*8-12=48-12=36°

Answer:

x=7

Step-by-step explanation:

Start with the left side

-5x+7x+8

combine like terms

2x+8=1+3x

subtract 2x from both sides to get 8=1+x

subtract 1 from both sides to get 7

put the variable on the left

x=7

Hope this helps :-)

Ur solution is in the attachment.

Answer:

d)  ? = 5

e)   ? = -2x

f)    ? = x

Step-by-step explanation:

d) 20 = (4)(?)

    20/4 = ?

     5 = ?

    Check:

    20 = 4*5

e)   -14x = (7)(?)

     -14x/7 = ?

      -2x = ?

      Check:

      -14x = 7*-2x

f)    x³ =x² (?)

      x³/x² = ?

      x³⁻² = ?

      x¹ = ?

       x = ?

      Check:

     x³ = (x²)(x)      

Answer:

[tex]\frac{64}{x}[/tex]  quotient means you divide

Step-by-step explanation:

Answer: 75+30 = 15 x 7

Step-by-step explanation:

The given expression is 75+30 (=105) which defines the sum of 75 and 30.

Prime factorization of 75 and 30 are as below:

75 = 5 x 5 x 3

30 = 5 x 3 x 2

GCD (75,30) = 5x 3 = 15  [Note: GCD = Greatest common divisor]

Consider 75+30 = (15 x 5) + (15 x 2)   [75 = 15 x 5 and 30= 15 x 2]

=  15 (5+2)   [taking 15 as common ]

= 15 x (7)

(=105)

So,  75+30 which is sum of the numbers and it is expressed as 15 x 7 which  a product of their GCF.

Answer:

[tex] - 4x - 8[/tex]

Step-by-step explanation:

[tex] - 4(x + 2) = - 4x - 8[/tex]

Hope this helps ;) ❤❤❤

Answer: It's -4x- 8

Step-by-step explanation: Hope it hepls.

Answer:

W = -3

Step-by-step explanation:

Answer:

w = - 3

Step-by-step explanation:

Given

[tex]\frac{2}{5}[/tex] (w + 5) = [tex]\frac{4}{5}[/tex]

Multiply both sides by 5 to clear the fractions

2(w + 5) = 4 ( divide both sides by 2 )

w + 5 = 2 ( subtract 5 from both sides )

w = - 3

Answer:

B. f(x) domain: x ≥ 1

f–1(x) range: y ≥ 1

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

Please have a look at the attached photo.

My answer:

Because the two functions are inverse to each other, so we all know that the domain of f(x) will be the range of and the range of f(x) will be the domain of

As can be seen from the attached photo,

f(x) extends to the right of x=1, so its domain is x ≥ 1.

<=> range is y≥ 1.

Therefore, we choose answer B

Hope it will find you well.

(I found this somewhere else)

Answer:

V=378 inch³

Step-by-step explanation:

The package is in the shape of a cuboid. The volume of a cuboid is given by :

V = lbh

l=length, b=breadth and h=height

Area of base = 54 inch²

Height of box, h = 7 in

It means that, volume of the package is :

V = 54 × 7

V=378 inch³

So, the volume of the package is 378 inch³.

Answer:

The price of the cake is $24 and the price of the Pie is $15

Step-by-step explanation:

Given

Represent price of Cake with C and Price of Pie with P

[tex]C = 9 + P[/tex]

Cakes sold = 8

Pies sold = 14

[tex]Total = \$402[/tex]

Required

Determine C and P

To represent the cakes and pies sold, we have the following expression

[tex]8C + 14P = 402[/tex]

Substitute 9 + P for C

[tex]8(9+P) + 14P = 402[/tex]

Open the bracket

[tex]72 + 8P + 14P = 402[/tex]

Collect Like Terms

[tex]8P + 14P = 402 - 72[/tex]

[tex]22P= 330[/tex]

Divide both sides by 22

[tex]P = \frac{330}{22}[/tex]

[tex]P = 15[/tex]

Recall that

[tex]C = 9 + P[/tex]

[tex]C = 9 + 15[/tex]

[tex]C = 24[/tex]

Hence, the price of the cake is $24 and the price of the Pie is $15

Answer:

11 units

Step-by-step explanation:

Length of side PS can be calculated using the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Where,

[tex] P(-2, 5) = (x_1, y_1) [/tex] (the coordinate of P is gotten from the graph)

[tex] S(9, 5) = (x_2, y_2) [/tex] (given)

[tex] PS = \sqrt{(9 - (-2))^2 + (5 - 5)^2} [/tex]

[tex] PS = \sqrt{(11)^2 + (0)^2} [/tex]

[tex] PS = \sqrt{121} = 11 units [/tex]

Answer:

Another number is 28

Step-by-step explanation:

Given:

Number = 12

Another number = x

The tripled product = 120

Find:

Number

Computation:

3(x + 12) = 120

x + 12 = 40

x = 40 - 12

x = 28

Another number is 28

Answer:

Hence the positive numbers are 246, and 41

(246, 41)

Step-by-step explanation:

From the question,

Let the first positve number be [tex]x[/tex]

and the other number be [tex]y[/tex]

Hence,

[tex]x = 6y[/tex] ....... (1)

Also,

That is,

[tex]x - y =205[/tex] ........(2).

To solve for the two unknowns, substitute the value of [tex]x[/tex] in equation (1) into equation (2).

Since,

[tex]x = 6y[/tex]

Then

[tex]x - y =205[/tex] becomes

[tex](6y) - y =205\\[/tex]

Then,

[tex]6y - y = 205\\5y = 205\\[/tex]

Divide both sides by 5

[tex]\frac{5y}{5} = \frac{205}{5} \\ y = 41\\[/tex]

∴ the value of [tex]y[/tex] is 41

Now, substitute the value of y into equation (1) to find [tex]x[/tex]

Then,

[tex]x = 6y[/tex] becomes

[tex]x = 6(41)\\x = 246\\[/tex]

∴ the value of [tex]x[/tex] is 246

Hence the positive numbers are 246, and 41

(246, 41)

Answer: 24x^6e^4/7ry^3

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

2.5 min =(60×2.5)sec=150 sec

30sec to 150sec=30×100/150=20%

Answer:

20 %

Step-by-step explanation:

2.5 mins = 150 sec

30 sec of 150 sec in % = 30/150 × 100

= 20 %

Answer:

The difference between the greatest and the smallest angle of the triangle PBQ is 98°.

Step-by-step explanation:

The question is:

In a triangle ABC, angle B measures 64 ° and angle C measures 72°. The inner bisector CD intersects the height BH and the bisector BM at P and Q respectively. Find the difference between the greatest and the smallest angle of the triangle PBQ.

Solution:

Consider the triangle ABC.

The measure of angle A is:

angle A + angle B + angle C = 180°

angle A = 180° - angle B - angle C

             = 180° - 72° - 64°

             = 44°  

It is provided that CD and BM are bisectors.

That:

angle BCP = angle PCH = 36°

angle CBQ = angle QBD = 32°

angle BHC = 90°

Compute the measure of angle HBC as follows:

angle HBC = 180° - angle BHC + angle BCH

                  = 180° - 90° - 72°

                  = 18°

Compute the measure of angle BPC as follows:

angle BPC = 180° - angle PCB + angle CBP

                  = 180° - 18° - 36°

                  = 126°

Then the measure of angle BPQ will be:

angle BPQ = 180° - angle BPC

                  = 180° - 126°

angle BPQ = 54°

Compute the measure of angle PBQ as follows:

angle PBQ = angle B - angle QBD - angle HBC

                  = 64° - 32° - 18°

angle PBQ = 14°

Compute the measure of angle BQP as follows:

angle BQP = 180° - angle PBQ - angle BPQ

                  = 180° - 14° - 54°  

angle BQP = 112°

So, the greatest and the smallest angle of the triangle PBQ are:

angle BQP = 112°

angle PBQ = 14°

Compute the difference:

d = angle BQP - angle PBQ

  = 112° - 14°

  = 98°

Thus, the difference between the greatest and the smallest angle of the triangle PBQ is 98°.

Answer:

A

Step-by-step explanation:

oh steps are here!

Answer:

a) 5

Step-by-step explanation:

2x² - 6x + 2y² + 2y = 45

Complete the square and get it in the form (x-a)² + (y -b)² = r²

2x² - 6x +  2y² + 2y  = 45

Divide the equation by 2

x² - 3x + y² + y = 45/2

x² -  3x + ? + y² + y + ?? = 45/2

? -----> (x coefficient by 2)² = (3/2)² = 9/4

?? ----> (y coefficient by 2)² = (1/2)² = 1/4

Add (9/4) & (1/4) to both sides,

x² -3x +(9/4) + y² + y + (1/4) = (45/2)+ (9/4) + (1/4)

(x - 3/2)² + (y + 1/2)² = (90/4) + (9/4) + (1/4)

[tex](x-\frac{3}{2})^{2}+(y+\frac{1}{2})^{2}=\frac{90+9+1}{4}\\\\\\(x-\frac{3}{2})^{2}+(y+\frac{1}{2})^{2}=\frac{100}{4}\\\\\\(x-\frac{3}{2})^{2}+(y+\frac{1}{2})^{2}=25\\\\(x-\frac{3}{2})^{2}+(y+\frac{1}{2})^{2}=5^{2}[/tex]

Radius  = 5

Answer:

1

Step-by-step explanation:

la respuesta sería un por que si multiplicas el 2 y luego más tres te da un resultado como uno

Answer:

Step-by-step explanation:

Answer:

The final answer is "$2387.85 and $2594.85".

Step-by-step explanation:

Given values:

The bank statement balance= $2,253.18

The checkbook balance = $2,324.34

outstanding check amounts= $105.50 and $158.10

transit amount= $605.27

account earnin(credits)= $68.51

service charge= $5.00

Adjusted Checkbook Balance =?

Adjusted  Statement Balance=?

Adjusted the Checkbook Balance:

checkbook balance = $2,324.34

[tex]\text{total checkbook balance = checkbook balance+ credits}\\[/tex]

                                      [tex]= \$ 2,324.34+ \$ 68.51\\\\= \$ 2392.85[/tex]

[tex]\text{ Adjust check book balance= total checkbook balance - servicec charge}[/tex]

                                         [tex]= \$2392.85 - \$5.00\\\\= \$ 2387.85[/tex]

Adjusted the Statement Balance:

bank statement balance= $2,253.18

[tex]\text{total Statement balance = bank Statement balance+ transit amount}\\[/tex]

                                      [tex]= \$ 2,253.18+ \$ 605.27\\\\= $ 2,858.45[/tex]

[tex]\text{outstanding check amounts = $105.50+ $158.10}[/tex]

                                           [tex]= \$263.60[/tex]

[tex]\text{ Adjust statement balance= total statement balance - outstanding check amount }[/tex]                                        [tex]= \$ 2,858.45 - \$263.60\\\\= $ 2,594.85[/tex]

Answer:

What was it?

Step-by-step explanation: