Give a simple and explained answer: 2. A bag of trail mix weighs 2 lb. By weight, 18% is oats.
(a) Write a percent proportion that can be used to find the weight of the oats in the trail mix.
(b) What is the weight of the oats in the trail mix?

Answer:

C. [tex]\frac{14}{21} = \frac{18}{27} =\frac{2}{3}[/tex]

Step-by-step explanation:

The given triangles are similar.

If the two triangles are said to be similar, then the corresponding angles are equal and the corresponding sides are in proportion.

From the given figure, we are given two corresponding sides of each triangle.

We know the corresponding sides are proportion.

Let's form the proportion using the corresponding sides.

14 corresponds to 18

21 corresponds to 27

Therefore, [tex]\frac{14}{21} = \frac{18}{27}[/tex]

We can simplify the fraction 14/21 by dividing both the numerator and the denominator by 7.

[tex]\frac{14}{21}  = \frac{2}{3}[/tex]

Also, we can simplify 18/27 by dividing both the numerator and the denominator by 9.

[tex]\frac{18}{27} = \frac{2}{3}[/tex]

Therefore, answer is  C. [tex]\frac{14}{21} = \frac{18}{27} = \frac{2}{3}[/tex]

The correct option is b. 14/18=21/27=7/9 ,The correct option for the ratio of corresponding sides for the similar triangles is 1:3.

The ratio of corresponding sides for the similar triangles can be expressed as follows:

Let's denote the larger triangle's sides as **\(a\) and \(b\)**, and the smaller triangle's sides as **\(c\) and \(d\)**.

Given:

[tex]- Larger triangle: \(a = 18\) and \(b = 27\)\\- Smaller triangle: \(c = 14\) and \(d = 21\)[/tex]

The ratio of corresponding sides is:

[tex]\[\frac{a}{c} = \frac{18}{14} = \frac{9}{7}\]Similarly:\[\frac{b}{d} = \frac{27}{21} = \frac{9}{7}\]Both ratios are equal to \(\frac{9}{7}\).[/tex]

To reduce the ratio to lowest terms, we divide both the numerator and denominator by their greatest common factor (which is 9 in this case):

[tex]\[\frac{9}{7} = \frac{9 \div 9}{7 \div 9} = \frac{1}{\frac{7}{9}} = \frac{1}{\frac{7}{3}} = \frac{1}{\frac{21}{9}} = \frac{1}{3}\][/tex]

Therefore, the reduced ratio of corresponding sides for the similar triangles is **1:3**.

Answer:

Step-by-step explanation:

Y= .25x (12)

I think this is an equation for you question if not

Write a house runs a mile in 4 mins 1/4 = .25 miles /mins

You go with the second one i said. hope this gets brainlist

base, b = 45m

angle of elevation, aoe = 82deg

height at 86th floor, h1

height above 86th floor, h2 = 123m

total height, h = h1 + h2

using

tan (aoe) = h1/b

=》 h1 = tan (aoe) × b = tan 82 x 45 = 320.2

h = h1 +h2 = 320.2 + 123 = 443.2m

Answer:

[tex]y\geq -1[/tex]

Step-by-step explanation:

The inequality has the attached picture as its graph.. The inequality passes through (0,-1) and is a horizontal line. This means the inequality has the form y < b or y > b where b is the y-coordinate. Since the \shading is above the line then the values must be greater than -1. It is also a solid line so the inequality is equal to. The inequality is [tex]y\geq -1[/tex]

Answer:

It's B.

Step-by-step explanation:

A gives a triangle.

B gives a rectangle.

C gives a trapezoid.

D gives a square.

Answer:

Step-by-step explanation:

It's simple just review the division and rules of exponents.

The slash means nothing more than divide 8/2=4 You're diving right? See!

The rule for exponents states that when diving exponents you subtract them, as you see x^3 near and under it is x so you divide the numbers and subtract the exponents.

8/2=4

exponents x^3/x subtract x^2

4x^2

next..6/2=3

exponents x^2-x=x   think of it as x is always 1 the exponent just shows you how many xs you have.

So, put the numbers together now 4x^2+3x if you're ever given a negative number just bring it to the opposite side of the line. There's many videos that you can watch online that should help!

The answer for your question would be, 4x^2+3x.

You're welcome!

Answer:

i got A

Step-by-step explanation:

Final answer:

The area of the parallelogram is 1357.2 cm²

Explanation:

This question is based on basic understanding of geometry in general and about basics of parallelogram in particular.

There are two formulas to find area of parallelogram

1. By using the formula of area = ¹/₂ × d1 × d2 × sin Ф where; d1 and d2 are diagonals and sin Ф is the angle between diagonals.

2. By using the formula of area = b × h

Since, base and height are given in the question, second formula will be used

So, to find the area of a parallelogram, we use the formula:

A = base × height

Given:

Substituting the values in the formula, we get:

A = 82 cm × 16.6 cm = 1357.2 cm²

Therefore, the area of the parallelogram is 1357.2 cm²

Answer:

0 or undefined

Step-by-step explanation:

Answer:

The slope doesn't matter.

Step-by-step explanation:

Since the variable equals a constant, any y value would be perpendicular to x = 3.

So lines perpendicular to x = 3 would be,

Answer:

012/1000

Step-by-step explanation:

Answer:

<1 = 105

<2 =75

Step-by-step explanation:

Vertical angles are always equal. <2 = 75 because it is opposite a vertical angle.

<1 + <2 = 180                     (The two angles are given as supplementary to each other).

<1 + 75 = 180                     Subtract 75 from both sides.

<1 + 75 - 75 = 180 - 75      Combine

<1 = 105

Answer: (Width x = 7) (Length 10)

Step-by-step explanation:

(x+3) + = 34/2

2x + 3 = 17

2x = 14

x = 7 -----------Width

10 ---------------Length

Answer: Width= 7 in.

               Length= 10 in.

Step-by-step explanation:

[tex]l=w+3[/tex]

The perimeter of the rectangle is 34 inches.

[tex]2(w+l)=34[/tex]

substitute

[tex]2(w+w+3)=34[/tex]

[tex]2(2w+3)=34[/tex]

distributive property [tex]a(b+c)=ab+ac[/tex]

[tex]2\cdot 2w+2\cdot 3=34[/tex]

[tex]4w+6=34[/tex]

[tex]4w+6-6=34-6[/tex]

[tex]4w=28[/tex]

divide 4 on both sides

[tex]w=7[/tex]

Width is 7 inches

substitute w=7 in equation [tex]l=w+3[/tex]

[tex]l=7+3[/tex]

[tex]l=10[/tex]

Length is 10 inches

Answer:

Step-by-step explanation:

(- 4 - 2)² + (- 4 - 1)² = AC²

(- 6)² + (- 5)² = AC²

36 + 25 = AC²

AC² = 61

AC = √61

AC ~ 7.81 unitário

I hope I helped you.

The distance between points A and C is calculated using the displacement vector ĐAC, resulting in a distance of 4.5 km.

The student's question, 'What is the distance between points A and C', pertains to the calculation of displacement in a vector context within the field of Mathematics. To determine the displacement vector ĐAC, we apply the given information that point C is located three-quarters of the distance from point A to point B. If the full displacement from A to B, denoted as ĐAB, has a magnitude of 6 km, the displacement vector from A to C, which is ĐAC, has a magnitude of 0.75 times 6 km, which equals 4.5 km.

The displacement vector ĐAC is parallel to ĐAB and in the same northeasterly direction, indicating that the distance from A to C is simply 4.5 km. The student can understand that the magnitude of displacement is different from the distance traveled if the path taken is not a straight line; however, in this instance, the path is straight, and therefore, the displacement coincides with the actual distance covered.

To summarize, the distance between points A and C is the magnitude of the displacement vector ĐAC, which is 4.5 km.

Answer:

First Column:

T

F

F

F

Second Column:

F

T

T

T

Step-by-step explanation:

I'm assuming ~ means NOT and ^ means AND.

Evaluate the first column using AND logic; both inputs must be true for the output to be true.

Only the first case has both inputs true, so it will be the only one with a true output, the rest are all false.

Next, take the outputs from column one and apply NOT logic; the output will be the inverse of whatever the input was

Since the first case is true, its output will be false. Since the remaining cases are false, their outputs will be all true.

Answer:

The answer is actually C. 3.5. I just answered this question on a quiz and I got it correct. I'm sorry for the late response but I hope this helps!

Answer: 88 Novels

Explanation:

Since there are 44 books per shelf and there are 8 shelves, we have a total of 44*8 or 352 books. Since only a quarter of them (1/4) are novels, we will multiply (1/4) and 352 together to get, 352*(1/4) equals 88 novels

Answer:

(6, - 4)

Step-by-step explanation:

A translation of 4 units right is equivalent to adding 4 to the x- coordinate

A translation of 3 units up is equivalent to adding 3 to the y- coordinate

(x, y) → (x + 4, y + 3) ← translation rule

Hence

(2, - 7) → (2 + 4, - 7 + 3) → (6, - 4)

Anwser: (−2,−7)→(−2+4,−7−2)=(2,−9)

Explanation: {right 4 units: add 4 to x-coordinate}

down 2 units: subtract 2 from y-coordinate

Answer:

[tex]A=\frac{5x^{2}}{6}[/tex]

Step-by-step explanation:

Let's solve this by using the Area formula for a triangle:

[tex]A=\frac{1}{2}bh[/tex]

Base: [tex]\frac{5}{3}x[/tex]

Height: [tex]x[/tex]

Solve for A (Area)

[tex]A=\frac{1}{2}(\frac{5}{3}x)(x)[/tex]

[tex]A=\frac{5x^{2}}{6}[/tex]

Since we do not have a given value for [tex]x[/tex], this is as far as we can condense the equation.

The area would be 5x^2/ 6x

See the image

Answer:

[tex]A = 4500 ft^2[/tex]

Step-by-step explanation:

By definition:

The pre-meter P of a triangle ABC is equal to the sum of the length of its sides.

We know that:

[tex]P = 450\ ft\\AB = 9x\\BC = 41x\\CA = 40x[/tex]

The perimeter is:

[tex]P = AB + BC + CA\\P = 450 = 9x + 41x + 40x\\90x = 450\\x = 5[/tex]

Now we find the length of the sides:

[tex]AB = 45\\BC = 205\\CA = 200[/tex]

Once the length of the sides is known, we use Heron's formula to calculate the area.

First I find the semiperimeter S.

[tex]S = 0.5(45 + 205 +200)\\S = 225[/tex]

Then the Area is:

[tex]A = \sqrt{s(s-AB)(s-BC)(s-CA)}\\\\A = \sqrt{225(225-45)(225-205)(225-200)}\\\\A = 4500\ ft^2[/tex]

Answer:

C

Step-by-step explanation:

A proportional graph is a line. Every line has a slope. The slope is found by subtracting two points as a ratio. The line has points (0,0) and (2,6).

6-0 = 6

2 -0 = 2

The ratio is vertical over horizontal so 6/2 = 3.

The equation is y = 3x.

Answer:

C) [tex]y=3x[/tex]

Step-by-step explanation:

1) Checking the coordinate points (2,6), (4,12),  (6,18), (8,24). And since the Proportionality Constant is given by

[tex]k=\frac{y}{x}[/tex]

[tex]k=\frac{y}{x}=\frac{6}{2}=\frac{12}{4}=\frac{18}{6}=\frac{24}{8}=3[/tex]

Then k=3

2) A Proportional Function is given by:

[tex]y=kx[/tex]

Thus we can state that proportional function rule as:

[tex]y=3x[/tex]

Answer:

Step-by-step explanation:

yep hes correct C.) A = 2 • π • r • h

Step-by-step explanation:

The distance around a circle is the circumference, and the formula for it is

C = 2πr.

Taking the label off of the can and stretching it out makes this distance around the circle the length of the rectangular label.

To find the area of a rectangle, we multiply length and width; we know the length is 2πr.  The width of the rectangle is the height of the can; this makes the area

A = 2πrh. give him brainly not me

Answer:

its option c A=2 times pi times r times h

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Expand the right side and compare the coefficients of like terms

(5x + 2)(ax² + bx + c)

= 5x(ax² + bx + c) + 2(ax² + bx + c) ← distribute parenthesis

= 5ax³ + 5bx² + 5cx + 2ax² + 2bx + 2c ← collect like terms

= 5ax³ + x²(5b + 2a) + x(5c + 2b) + 2c

For the 2 sides to be equal then like terms must equate, that is

5ax³ = 5x³ ⇒ 5a = 5 ⇒ a = 1

2c = - 6 ⇒ c = - 3

5b + 2a = k

5c + 2b = - 7 ← substitute c = - 3

- 15 + 2b = - 7 ⇒ 2b = 8 ⇒ b = 4

Substitute a = 1, b = 4 into 5b + 2a = k

20 + 2 = k ⇒ k = 22

The required values are

a = 1, b = 4, c = - 3 and k = 22

Answer:

The principal amount was $23,393.45

Step-by-step explanation:

The total amount paid on a 35 year loan was $98,000 at the rate of interest 4.1%

We will calculate Principal amount by this formula

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Where A = amount (98,000)

           P = Principal amount (P)

           r = rate of interest 4.1% (0.041)

           n = number of compounding interest monthly (12)

           t = time (35 years)

[tex]98,000=P(1+\frac{0.041}{12})^{(12)(35)}[/tex]

[tex]98,000=P(1+0.003416)^{(420)}[/tex]

[tex]98,000=P(1.003416)^{(420)}[/tex]

98,000 = P(4.189386)

= 4.189386P = 98,000

P = [tex]\frac{98000}{4.189386}[/tex]

P = 23,392.4494 ≈ $23,392.45

The principal amount was $23,393.45

Answer:

$23,392

Step-by-step explanation:

Use the compound interest formula and substitute the values given: $98,000=P(1+.041/12)[tex]^{12(35)}[/tex]

Simplify using order of operations:

$98,000=P(1.003416667)[tex]^{420}[/tex]

P=$98,000(1.003416667)[tex]^{420}[/tex]

P≈$23,392

Answer:

2 sections.

Step-by-step explanation:

Given that number of students that had homework last night = 8

Given that number of students that had not homework last night = 4

Then total number of students = 8+4= 12

Then fraction of students that had not homework last night = 4/12

Alaina used that data to design a spinner with 6 congruent sections.

Then number of sections of Alaina's spinner the represents students who did not have homework = ( 6 section) ( 4/12 fraction)

= 6(4/12)

=24/12

=2

Hence final answer is 2 sections.

Answer:

3 × 10⁵

Step-by-step explanation:

[tex]\dfrac{3.6\times10^8}{1.2\times10^3}=\dfrac{3.6}{1.2}\times\dfrac{10^8}{10^3}\qquad\text{use}\ \dfrac{a^m}{a^n}=a^{m-n}\\\\=3\times10^{8-3}=3\times10^5[/tex]

The value of the expression 3.6x10^8 / 1.2x10^3 equals 3x10^5. In this calculation, the coefficients are divided, and the powers of 10 are subtracted.

The question asks for the value of the expression 3.6x10^8 / 1.2x10^3. This is a division problem involving scientific notation. Here is the step by step solution:

So, the value of the expression 3.6x10^8 / 1.2x10^3 equals 3x105.

https://brainly.com/question/2005529

#SPJ2

-- #34 is choice-C .

-- See the picture attached to this answer, for both solutions.

Answer:

88°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 2 given angle and subtract from 180 for missing angle

missing angle = 180° - (56 + 36)° = 180° - 92° = 88°

Answer:

Step-by-step explanation:

There are a couple of ways to do this. You could figure all four terms out and add them, which is likely the simplest way.

One:     6^(1 - 1) = 6^0 =      1

Two:     6^(2 - 1) = 6^1 =      6

Three:   6^(3 - 1) = 6^2 =   36

Four:     6^(4 - 1) = 6^3 =   216

Sum = 259

When two events, A and B, are mutually exclusive, the probability that A or B will occur is the sum of the probability of each event. P(A or B) = P(A) + P(B) so you add them

hope this helps :)