What is the value of x the equation 1,3,4,6

Answer:

54 ounces

Step-by-step explanation:

A box of granola weighs 24 ounces and a box of bran flacks weighs 6/8 as much as the ronal

The number of ounces of the bran flakes = 6/8 of the box of the granola

= 6/8 × 24 ounces

= 18 ounces

A box of Corn Pops weighs 1 1/8 as much as the granola

Hence, the number of ounces of the box of corn pops =

1 1/8 of the granola box

= 9/8 × 24 ounces

= 27 ounces

The least number of ounces found in either box or ronal bran flakes or Corn Pops is calculated as:

We solve using LCM Method

Multiples of 18:

18, 36, 54, 72, 90

Multiples of 27:

27, 54, 81, 108

Therefore,

LCM(18, 27) = 54

The least number of ounces found in either box or ronal bran flakes or Corn Pops is 54 ounces

Answer:

The answer is 30 V=whl=3·2·5=30

Step-by-step explanation:

Step-by-step explanation:

The following are quadratic equations:

x² + 3x - 5 = 0,

x² - x = 3x + 7,

7x² + 14x = 0.

Answer:

38 square meters

Step-by-step explanation:

Given:

A(w)=4w²+34w

The function represent the area of a metal frame being built by a construction company

What is the area of the frame in square meters when the width equals 1 meter?

Find A(w) when w = 1 meter

A(w)=4w²+34w

A(1) = 4(1)² + 34(1)

= 4 + 34

= 38 square meters

A(1) = 38 square meters

Amino acids

Step-by-step explanation:

In a DNA molecule Your going to find what's called, Nucleotides, Nucleotides contain phosphate group, a sugar group, and a nitrogen base.

Answer:

463mi

Step-by-step explanation:

Answer:

1 1/2 quarts per hour

Step-by-step explanation:

To do this you would divide 3/4 by 1/2 to do divide you flip 1/2 to 2/1 then multiply.

3/4*2/1=6/4 which is also equal to 1.5 quarts of paint per hour.

Answer:

My name is Melanie

Step-by-step explanation:

Answer:

Mine is Aday but pretty much everybody calls me Aya

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

18/2=9

Answer:

a² + 4ab + 4b²

Step-by-step explanation:

Given

(a + 2b)²

= (a + 2b)(a + 2b)

Each term in the second factor is multiplied by each term in the first factor, that is

a(a + 2b) + 2b(a + 2b) ← distribute both parenthesis

= a² + 2ab + 2ab + 4b² ← collect like terms

= a² + 4ab + 4b²

Answer:

Divide the percentage by 100 to get a decimal number. Use that number as the numerator (top) of a fraction. Put a 1 in the denominator (bottom) of the fraction. Convert the decimal to a whole number: Count how many places are to the right of the decimal.

Answer:

-9 feet per second

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

Two triangles are said to be similar if their corresponding angles are equal and the corresponding sides are in proportion.

The distance between two points on the coordinate plane is given as:

[tex]Distance=\sqrt{(x_2-x_1}^2+(y_2-y_1)^2 \\\\Therefore\ in\ triangle\ PQR:\\\\|QR|=\sqrt{(-2-(-2))^2+(4-0)^2}=4\\\\|PQ|=\sqrt{(-2-4)^2+(0-4)^2}=\sqrt{52}=2\sqrt{13} \\\\|PR|=\sqrt{(-2-4)^2+(4-4)^2}=6[/tex]

In triangle STU:

[tex]|ST|=\sqrt{(-1-2)^2+(-2-(-4))^2}=\sqrt{13}\\\\|SU|=\sqrt{(-1-2)^2+(-4-(-4))^2} =3\\\\|TU|=\sqrt{(-1-(-1))^2+(-4-(-2))^2}=2[/tex]

|QR| / |TU| = 4/2 = 2

|PR| / |SU| = 6/3 = 2

|PQ| / |ST| = 2√13 / √13 = 2

Hence:

|QR| / |TU| = |PR| / |SU| = |PQ| / |ST|

Therefore, △PQR and △STU are similar triangles since the ratio of their sides are in the same proportion.

Similar triangles may or may not be congruent

Triangles PQR and STU are similar by SSS theorem.

The vertices of triangle PQR are given as:

[tex]P= (4, 4)[/tex]

[tex]Q= (-2, 0)[/tex]

[tex]R = (-2, 4)[/tex]

The vertices of triangle STU are given as:

[tex]S = (2, -4)[/tex]

[tex]T = (-1, -2)[/tex]

[tex]U =(-1, -4)[/tex]

Start by calculating the side lengths of the two triangles, using the following distance formula

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

For triangle PQR, we have:

[tex]PQ = \sqrt{(4 --2)^2 + (4 -0)^2} = \sqrt{52}[/tex]

[tex]PR = \sqrt{(4 --2)^2 + (4 -4)^2} = 6[/tex]

[tex]QR = \sqrt{(-2 --2)^2 + (0 -4)^2} = 4[/tex]

For triangle STU, we have:

[tex]ST= \sqrt{(2 --1)^2 + (-4 --2)^2} = \sqrt{13}[/tex]

[tex]SU= \sqrt{(2 --1)^2 + (-4 --4)^2} = 3[/tex]

[tex]TU= \sqrt{(-1 --1)^2 + (-2 --4)^2} = 2[/tex]

Check if the side lengths of both triangles are similar, by dividing corresponding sides

[tex]k = \frac{PQ}{ST} = \frac{\sqrt{52}}{\sqrt{13}} = 2[/tex]

[tex]k = \frac{PR}{SU} = \frac{6}{3} = 2[/tex]

[tex]k = \frac{QR}{TU} = \frac{4}{2} = 2[/tex]

Because the scale factors of the side lengths are the same, then both triangles are similar by SSS theorem.

Read more about similar triangles at:

https://brainly.com/question/8691470

Answer:

D

Step-by-step explanation:

9514 1404 393

Answer:

  25

Step-by-step explanation:

As always, you identify the possible relationships between the given values. Make use of those to find the unknown. Then use that value as required to answer the question(s) posed.

The triangle is isosceles, so AB = AC.

  AB = AC

  4x +1 = 2x +23

  2x = 22 . . . . . . . . . subtract (2x+1)

  x = 11

With this value of x, we can find BC.

  BC = 3x -8

  BC = 3×11 -8

  BC = 25 . . . . units

Answer:

3a. 0.415

b. 18.75

Step-by-step explanation:

3a. 2.49/6

=0.415

b. 150/8

=18.75

Answer:

The answer is A

Step-by-step explanation:

There are opposite angles

Answer:

The second one .......

Answer:

[tex]20[/tex]

Step-by-step explanation:

Let [tex]x[/tex] = games played in total

From the fact that [tex]15\%[/tex] of the games the team played is equivalent to [tex]3[/tex] games, we can write:

[tex]15\%x = 3[/tex]

[tex]x=3\div 15\%[/tex]

[tex]=20[/tex]

∴ Lola's hockey team played a total of 20 games.

Hope this helps :)

Answer:

(a) The zeroes of f(x) are rational numbers

(b) The smallest integer value of a is 3

Step-by-step explanation:

In the quadratic function f(x) = ax² + bx + c, we can know the number and the types of its roots using the discriminant  Δ, where Δ = b² - 4ac

Note: In the first case if Δ is a perfect square number then the zeroes are rational, if not then the zeroes are irrational

(a)

∵ The equation function is f(x) = ax² + 11x + 12

∵ a = 2

∴ a = 2, b = 11 and c = 12

→ Substitute them in the rule of Δ

∵ Δ = (11)² - 4(2)(12) = 121 - 96

∴ Δ = 25

∵ Δ > 0

∴ f(x) has two different real zeroes

∵ 25 is a perfect square number

→ That means the zeroes of the function are rational numbers

∴ The zeroes of f(x) are rational numbers

(b)

∵ f(x) ha imaginary zeroes

→ By using the third rule above

∴ Δ < 0

∵ a = a, b = 11 and c = 12

→ Substitute them in the rule of Δ

∴ (11)² - 4(a)(12) < 0

∴ 121 - 48a < 0

→ Add 48a to both sides

∵ 121 - 48a + 48a < 0 + 48a

∴ 121 < 48a

→ Divide both sides by 48

∴ 2.52083 < a

∴ a > 2.52083

∵ The smallest integer greater than 2.52083 is 3

∴ The smallest integer value of a is 3

Answer:

can you state what point I is?

Answer:

A

Step-by-step explanation:

Substitution with X= 9 and you receive that only 9 works in both equation

Answer:

2 is the correct answer

Answer:

X=13

Step-by-step explanation:

Answer:

Rs. 3923.08

Step-by-step explanation:

First principal invested = Rs. 10000

Interest rate = 5%

The interest is compounded yearly.

Time = 1 year

1 year compound interest is equal to simple interest.

Formula for simple interest:

[tex]SI = \dfrac{PRT}{100}[/tex]

Interest on first sum = [tex]\frac{10000\times 5\times 1}{100} = Rs\ 500[/tex]

Another sum is on fixed deposit 8% compounded half yearly.

Let the sum = Rs [tex]x[/tex]

Formula for compound interest is given as:

[tex]CI = P(1+\frac{R}{100})^T - P[/tex]

It is compounded half - yearly, therefore T = 2

[tex]CI = x (1+\frac{8}{100})^2 - x\\\Rightarrow CI = x(1.08)^2-x = 0.1664x[/tex]

As per question statement:

[tex]0.1664x - 500 = 152.80\\\Rightarrow x = \dfrac{652.80}{0.1664} = Rs\ 3823.08[/tex]