A generation ago, the graduating class at Centerville High School was 160 students. This year, it is 40% larger. What is the current size of the graduating class?

Answer:

5

Step-by-step explanation:

Remember, the sum of all the angles in a triangle equals 180 degrees.

Moreover, looking at the diagram, we can see sides BA and BC are identical. This means this triangle is an isosceles triangle. Remember, all isosceles triangles will also have two identical angles. In this case, angles A and C are identical (meaning A and C are both 73 degrees).

So, if A is 73 degrees, C is 73 degrees, and we know that all the angles must sum to 180 degrees (so A + B + C = 180), then we can construct the following equation to solve for x:

[tex]73+73+6x+4=180\\150+6x=180\\6x=180-150\\6x=30\\x=\frac{30}{6}\\x=5[/tex]

Answer:

it is important to keep in mind that the interior of a triangle is 180º. Im not sure if the side your solving for is the longest or shortest one but the teo long side must be great than the third. dind the angles of the triangle that should help.

Step-by-step explanation:

Answer:

35w^3 + 44w

Combine Like Terms:

= 35w + 9w + 35w^3 + 25w^3 - 25w^3

= (35w^3 + 25w^3 - 25w^3) +(35w + 9w)

= 35w^3 + 44w

Hope this is right ♡

Answer:

The correct answer is ^4sqrt24x^3/2x or B on edge.

hope this helps!!:)

Step-by-step explanation:

Answer:

The answer is 5 1/4 liters in 1 hour.

Step-by-step explanation:

If Ben drinks 3 1/2 liters of tea in only 2/3 of a hour, this is how you calculate it. First of all, Ben is not a human being, like who can drink 3 and a half liters of tea in under a hour. To calculate how much Ben drinks in a hour, first multiply both fractions by 3, you will get 10 1/2 liters in 2 hours. Then, divide both fractions by 2, in which you will get 5 1/4 liters in 1 hour. That's your answer!

Answer:

21/4

Step-by-step explanation:

Divide the two numbers

3 1/2 =7/2 as a improper fraction

7/2 divided by 2/3

7/2 times 3/2

21/4 or 5 1/4

Answer:

2p+3q

Step-by-step explanation:

3p+7q-p-4q

2p+3q

hope it is helpful

Answer:

28.274

Step-by-step explanation:

Answer:

160 liters

Step-by-step explanation:

"a confectioner mixes forty liters of 60%":

Equation: 40 * .60

ow plug it in

0.60*40 + 0.10x = 0.20(40+x)

"how much of the 10% syrup should she use?":

.10x

"...to make a 20% sugar syrup.":

0.20(40+x)

Now that I have split the question into equations, let's put them together:

0.60*40 + 0.10x = 0.20(40+x)

Solve:

60*40 + 10x = 20*40 + 20x

10x = 40*40

x = 160 liters (amt of 10% solution needed)

Hope this helps :)

160 liters of 10% syrup is needed to make the mixture.

An equation is an expression used to show the relationship between two or more variables and numbers.

Let x represent the amount of 10% syrup. Hence:

(60% of 40) + (x of 10%) = (x + 40) of 20%

0.6 * 40 + x * 0.1 = (x + 40) * 0.2

24 + 0.1x = 0.2x + 8

x = 160 liters

160 liters of 10% syrup is needed to make the mixture.

Find out more on Equation at: https://brainly.com/question/13763238

Answer:

below explained

Step-by-step explanation:

Answer:

9.913 × 108

Step-by-step explanation:

Answer:

Given:

Sebastian :

Principal(invested)= $7,100

Rate of interest=  8.14% compounded monthly

Eva:

Principal(invested)= $7,100

Rate of interest= 8.12% compounded continuously

Step-by-step explanation:

After 5 years,

In Sebastian case:

Amount= Principal*[tex](1+R/100)^{t}[/tex]

Amount = 7100*[tex](1+8.14/100)^{12*5}[/tex]

Amount= 7100*[tex]1.0814^{60}[/tex]

Amount=7100*109.4415

Amount= $777,034.43

In Eva case,

Amount= Principal*[tex]e^{Rt/100}[/tex]

Amount = 7100*[tex]e^{0.0812*12*5\\}[/tex]

Amount= 7100*130.5818

Amount= $927,130.92

Difference between their money=$927,130.92-777034.43

                                                 =$150,096.49

Eva has $150,096 more money than Sebastian.

Answer:

80

Step-by-step explanation:

Answer:

101

Step-by-step explanation:

6 - 5 = 1

1+100=101

k=101

Sorry if I'm incorrect

Answer: 33

Step-by-step explanation:

a + b/c = 24 + 36/4 = 24 + 9 = 33

Answer:

33

Step-by-step explanation:

33 is the answer because when you have 24 + 36/4, 36 / 4 = 9, so the equation would become 24 + 9, and that's how you get 33

Answer:

correct answer is (3)

Methord in the pic

Answer:

x = 63; y = 27

Step-by-step explanation:

x + 117 = 180

x = 180 - 117

x = 63

x + y = 90

63 + y = 90

y = 90 - 63

y = 27

Bam! UwU

Lol Hope this helps !

That is a question about angles.

There are two informations in that image that we should to note:

With these two informations we can solve that question. The first step is solve the second equation, and we will find the x value. Finally, we change the x value in the first equation and we find the y value. Let's solve the equations:

[tex]x + 117 = 180\\x = 180 - 117\\x = 63[/tex]

So, the value of x is 63°. Let's replace the x value in the first equation.

[tex]x+y = 90\\63 + y = 90\\y = 90 - 63\\y = 27[/tex]

Thus, the value of y is 27°.

Therefore, the correct option is the option says x = 63°, y = 27°.

I hope I've helped. :D

Enjoy your studies. \o/

Answer:

The answer tot he question provided is 25.

Answer:

A. 5x+y+3

Step-by-step explanation:

to combine like terms you get the numbers that have the same variable. you will combine 2x and 3x and to combine them you add them 2x+3x and it equals 5x. you will do the same for the numbers left... -2y and 3y = 1y or y and 3 is left so we dont do nothing and after you do that you will put it in an equation variables go first and you order them in alphabetical order so 5x will go first then y and lastly the 3

Answer:

C. 360 cm²

Step-by-step explanation:

scale factor: 1:3

area = 3² times

40 x 9 = 360

Answer:

35

Step-by-step explanation:

do 140 times .25 to get 35

Answer:

25% of 140 is 35

Step-by-step explanation:

Hope this helps!

Answer:

4x +10 + 3x +2 = 180 (since they're supplementary, the angles together =180)

7x +12 =180  (combine like terms on left side, and subtract 12 from both sides)

7x = 168 (divide both sides by 7 to isolate x)

x= 24

angle 1 = 4(24)+10 (plug x into the expression for each angle, and solve)

..................96 +10

angle 1 = 106 degrees (the measure of the first angle)

angle 2 = 3(24) +2

..................72 +2

angle 2 = 74 (the measure of the second angle)

106 +74 =180 (the two add up to 180, so they're supplementary)

Step-by-step explanation:

I hope this helps :)

Answer:

think its x=3 hope it helps

Answer:

45 students

Step-by-step explanation:

40+40=80   40/2=20   80+20=100

18+18=36      18/2=9       36+9=45

horrible explaining but hope it helps :)

Answer:

45

Step-by-step explanation:

18 ÷ 45 = 0.4 = 40%

Answer:

444 cm squared

Step-by-step explanation:

first multiply 6 by 8 by 18.5, and you will get 888.

But since it's a triangle you would have to divide that by 2.

This will get you 444 cm squared.

Answer:

. yupp

Step-by-step explanation:

Answer: C:10

Step-by-step explanation:

Equation of a line passes through (a,b) and (c,d) :

[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]

Equation of line passes through A(-2,8) and B(4,14) will be :

[tex]y-8=\dfrac{14-8}{4-(-2)}(x-(-2))\\\\\Rightarrow\ y-8= \dfrac{6}{6}(x+2)[/tex]

[tex]\Rightarrow\ y-8=x+2\\\\\Rightarrow\ y= x+2+8\\\\\Rightarrow\ y=x+10[/tex]

For y-intercept , put x= 0 , we get y= 10

So, the y-intercept = 10

Thus , correct option = C:10

Answer:

1) Solving the term [tex](3x + 5)(2x - 3)[/tex] using F.O.I.L we get [tex]\mathbf{6x^2+x-15}[/tex]

2) solving the term [tex](x + 2)(x - 13)[/tex] using F.O.I.L we get [tex]\mathbf{x^2-11x-26}[/tex]

3) Solving [tex](x+5)^2[/tex] using square of binomial we get [tex]\mathbf{x^2+10x+25}[/tex]

4) Solving [tex](x+5)^2[/tex] using square of binomial we get [tex]\mathbf{x^2-6x+9}[/tex]

Step-by-step explanation:

1) (3x + 5)(2x - 3). Solve using the F.O.I.L.

F.O.I.L stands for First, Outer Inner Last

We have [tex](3x + 5)(2x - 3)[/tex]

First: 3x(2x)

Outer: 3x(-3)

Inner: 5(2x)

Last: 5(-3)

Solving we get:

[tex](3x + 5)(2x - 3)\\=3x(2x)+3x(-3)+5(2x)+5(-3)\\=6x^2-9x+10x-15\\=6x^2+x-15[/tex]

So, solving the term [tex](3x + 5)(2x - 3)[/tex] using F.O.I.L we get [tex]\mathbf{6x^2+x-15}[/tex]

2) (x + 2)(x – 13). Solve using the F.O.I.L.

F.O.I.L stands for First, Outer Inner Last

We have [tex](x + 2)(x -13)[/tex]

First: x(x)

Outer: x(-13)

Inner: 2(x)

Last: 2(-13)

Solving we get:

[tex](x + 2)(x - 13)\\=x(x)+x(-13)+2(x)+2(-13)\\=x^2-13x+2x-26\\=x^2-11x-26[/tex]

So, solving the term [tex](x + 2)(x - 13)[/tex] using F.O.I.L we get [tex]\mathbf{x^2-11x-26}[/tex]

3) (x + 5)^2. Solve using the square of Binomial.

The square of binomial is: [tex](a+b)^2=a^2+2ab+b^2[/tex]

Solving:

[tex](x+5)^2\\=(x)^2+2(x)(5)+(5)^2\\=x^2+10x+25[/tex]

So, solving [tex](x+5)^2[/tex] using square of binomial we get [tex]\mathbf{x^2+10x+25}[/tex]

4) (x -3)^2. Solve using the square of Binomial.

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

Solving:

[tex](x-3)^2\\=(x)^2-2(x)(3)+(3)^2\\=x^2-6x+9[/tex]

So, solving [tex](x+5)^2[/tex] using square of binomial we get [tex]\mathbf{x^2-6x+9}[/tex]

13 i thin kaaks si s jd fj nojxiiubscnhubsuind

Answer: 54/4 or 13 2/4

Step-by-step explanation: So first you have to make both fractions into improper fractions. So 15(4)+3=63 over the denominator which is 4. And 2(4)+1=9 over the denominator which is 4. Then subtract the two fractions: 63/4-9/4, and since the two denominators are the same you keep it as 4. So the answer would be 54/4 or if you need it to be a mixed number, 13 2/4.

Answer:

A. There will be 2 layers of cubes in the rectangular prism.

Step-by-step explanation:

height = 2 cm

cube height = 1 cm

so only 2 layer of cube can be in the 2 cm height rectangular prism

Answer:

C

Step-by-step explanation:

Answer:

Son's age = 24 years

Man's age = 48 years

Step-by-step explanation:

Let's take the age of son as x

Man's age = 2x

Twelve years ago,

Son's age= x-12

Man's age= 2x-12

Man is three times as old as his son so,

[tex] \frac{2x - 12}{x - 12 } = \frac{3}{1} [/tex]

Solving for x,

2x-12(1) = x-12(3)

2x-12 = 3x-36

2x-3x = -36+12

-x = - 24

x = 24

So if we substitute the values we get,

Son's age = 24 years

Man's age = 48 years

Hope you understand :)

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Solution}}} : [/tex]

Let the present age of father be ' x ' years and that of the son be ' y ' years. From the first condition ,

From the second condition ,

Substituting the value of x from equation ( i ) in equation ( ii ) :

[tex] \sf{2y - 12 = 3(y - 12)}[/tex]

Solve for y ( age of the son ) :

⟿ [tex] \sf{2y - 12 = 3y - 36}[/tex]

⟿ [tex] \sf{2y - 3y = - 36 + 12}[/tex]

⟿ [tex] \sf{ - y = - 24}[/tex]

⟿ [tex] \sf{y = 24}[/tex]

Now , Substituting the value of y in equation ( i ) , we get :

[tex] \sf{x = 2 \times 24}[/tex]

⟿ [tex] \sf{x = 48}[/tex]

So, the present age of the father is 48 years and that of the son is 24 years.

Hope I helped ! ツ

Have a wonderful day / night ♡

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Answer:

68/100*92= 62.56

No abbi does not pass exam.

Answer:

Yes that is correct

Step-by-step explanation: