Evaluate by finding the value of x. 2/3x = 24

Answer:

a) A =( x^2 -4x)/2

b) 16 cm^2

Step-by-step explanation:

Let the base of the triangle be x cm

since it is longer, then the height would be (x-4) cm

Mathematically, the area of a triangle is the product of the base and the height divided by 2

So, we have this as;

A = 1/2(x-4)x

A = x(x-4)/2

A = (x^2 - 4x)/2

A =( x^2 -4x)/2

To find the area, we only need to substitute 8 cm for x

we have this as;

A = (8^2 -4(8))/2

A = (64-32)/2 = 32/2 = 16 cm^2

We will begin by converting the word problem to relatable mathematical expression in the first part, in the second part, we will substitute for x and find the area which is 48cm^2

Given data

Let the height be x cm

and let the base be y cm

Going by the word problem statement "base that is 4cm longer than its height."

y = x+4

a. the polynomial expression for the area of the triangle is

We know that the area of triangle is given as

Area = 1/2*Base*Height

Area = 1/2*(x+4)*x

Area = 1/2*x^2+4x

Simplify

Area = x^2/2 + 2x

b. The Area when the height is 8cm

We will substitute x= 8cm

Area = (8)^2/2 + 2(8)

Area = 64/2 +  16

Area = 32+16

Area = 48 cm^2

Learn more about Triangle here:

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Answer:

(2x-7)^2

Step-by-step explanation:

you need to find two numbers that add up to -28, but multiply to 196, so -14, then spread out your equation and sub in -14, then divide out common factors, and then you have your answer

if you have any questions, leave them in the comments, i will try to answer them, if this helped, pls give brainliest

Answer:

[tex]g(x)=4x^2-28x+49[/tex]

[tex]=4(x^2-7x)+49[/tex]

[tex]=4(x^2-7x+(7/2)^2-(7/2)^2)+49[/tex]

[tex]=4(x-7/2)^2+4(-(7/2)^2)+49[/tex]

[tex]=4(x-7/2)^2+4(-49/4)+49[/tex]

[tex]=4(x-7/2)^2+0[/tex]

[tex]4(x-7/2)^2+0[/tex]

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

so,

[tex]g(x)=4(x-7/2)^2+0[/tex]

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

hope it helps....

have a great day!!

Answer:

C

Step-by-step explanation:

tan x = opp./adj.

tan 30° = t/20 so t = 20* tan 30° = 11.547≈12

T = t+5 = 12+5 =17  the closest one I see is C.16

Answer:

Y = a(x-h)^2 +k

Step-by-step explanation:

The first one, since the vertex form is in subtraction form. You need the a, the x, the h, and the k for the formula.

Answer:

y=a(x-h)^2+k

Step-by-step explanation:

This is the answer because numbers in the -h and k is the vertex point in this form.

e.g. y=2(x-4)^2+5

the vertex here is (4,5)

(btw, for h, when there's a negative sign in front of it, it's the opposite and when there's a plus sign in front of h, it's the opposite.)

Answer:

x=48

Step-by-step explanation:

Supplementary means to add to 180.

Your equation is 36+3x=180

180-36=144

3x=144

144 divided by 3x= 48

x=48

Answer:

d. 30

A = a+b /2 h

A = 6+9/2 × 4

A = 30

Answer:

D, but I am not too sure.

Good luck

Answer:

5.4

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√[-2 - (-7)]² + (7 - 5)²

√(5)² + (2)²

√25 + 4

√29

= 5.4

Answer:

[tex]Balance = \$2.23[/tex]

Step-by-step explanation:

Given

[tex]Allowance = \$30[/tex]

[tex]Video\ Game = \$17.99[/tex]

[tex]Chocolate\ Bar = \$0.79[/tex]

[tex]Remote\ Car = \$8.99[/tex]

Required [Missing from the question]

What is his balance after purchasing the items

First, calculate total cost of items

[tex]Total =Video\ Game + Chocolate\ Bar + Remote\ Car[/tex]

[tex]Total = \$17.99 + \$0.79 + \$8.99[/tex]

[tex]Total = \$27.77[/tex]

The balance is then calculated as:

[tex]Balance = Allowance - Total[/tex]

[tex]Balance = \$30 - \$27.77[/tex]

[tex]Balance = \$2.23[/tex]

Answer:

Solution given:

the area of the red triangle =½(a×b)unit²

So area

Step-by-step explanation:

Try this process when you see a right triangle

Answer:

10 1/4

Step-by-step explanation:

Carls age = 12 5/6 - 1 1/3

12 5/6 - 1 1/3

11 (5 - 2) / 6 = 11 3/6

Jane's age = carl's age - 1 1/4

11 3/6 - 1 1/4

10 (12 - 6) / 24 = 10 6/24 = 10 1/4

Answer:

p is 5 by 7 the a is 3 by 6

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

area for triangle

9x3=27

27/2= 13.5

area for trapezoid

6+9= 15

15(6)= 90

90/2=45

45+13.5= 58.5 ft²

Answer:

408

Step-by-step explanation:

Volume = length times width times height

So in this situation we can see that 17 is the length, 8 is the width, and 6 is the height

Knowing this information we can continue

If you think of a regular cube, you can split it diagonally and then it would be 2 triangles

So we can split the width, in halve which would be 4 and then apply the formula 4*6*17 and when you solve that you get 408 Now we have to split that in halve because remember it is a triangle and a triangle is halve of a square. Halve of 408 is 204.

If we repeat that prosses for the other side we will also get 204. Now we add 204+204 to get our answer 408.

Sorry is this was a little confusing but that's the best I can explain it.

Hope that helped and have a great day!

Step-by-step explanation:

Answer: the area should be 384cm

Step-by-step explanation:

Answer:

28 dollars

Step-by-step explanation:

A shirt cost 25

a sweater Is 3 ”more”

so shirt= 25+ x        Sweater: 28

Answer:

x = -4/7

Step-by-step explanation:

-5/2x + 1 = x + 3

-7/2x = 2

(-2/7)-7/2x = 2(-2/7)

x = -4/7

Answer:

-22/9

Explanation:

Just turn -2 4/9 into an improper fraction. 2 x 9 = 18 and 18 + 4 = 22.

22/9, and just add the negative sign to make it -22/9.

Answer:

-4 , 0 would be the answer your looking for I believe

Answer:

A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

29565x(10^5)

Step-by-step explanation:

heartbeat in 1 day=10^5.

we have 365 days in a year. it means that;

365x(10^5)=365x(10^5). this is heartbeat for 1 year.

then for 81 years,we multiply the value of 1 year heartbeat by 81.

=29565x(10^5).

Answer:

31

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

Answer:

The clock shows 8:18

Step-by-step explanation:

Answer:

8:18

Step-by-step explanation:

Answer:

What?

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

Whats the question?

The proportionality constant if, A small smoothie will be 16 fluid ounces and sell for $3.52 is 22.

When the corresponding elements of two numerical sequences, frequently experimental data, have a fixed ratio, this is referred to as the coefficient of proportionality, and the two sequences are said to be proportional or directly proportional.

Given:

A small smoothie will be 16 fluid ounces and sell for $3.52,

Convert the price of the smoothie in cents as shown below,

The price of a smoothie = 3.52  × 100   ($1 = 100 cents)

The price of a smoothie = 352 cents

Calculate the proportionality constant as shown below,

The proportional constant = Fluid / price

The proportional constant = 352 / 16

The proportional constant = 22

Thus, The proportional constant is 22.

To know more about proportionality:

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The complete question is: The owners of a smoothie shop want the price of each size smoothie to be proportional to the amount of liquid it contains. A small smoothie will be 16 fluid ounces and sell for $3.52. Find the proportionality constant.

Answer:

third in line

Step-by-step explanation:

hope this helps

Answer:

I think is third in line

Step-by-step explanation:

I believe so

Answer:

4 1/2 cups of ice cream

Step-by-step explanation:

since the denominators are the same, we look at the numerator.

2 x 4 = 8 out of 9 cups