solve the following equation algebraically please

[tex]\huge\color{purple}\boxed{\colorbox{black}{♡Solution♡}}[/tex]

Step-by-step explanation:

[tex]10 - 5 \frac{2}{3} \\ = 10 - \frac{17}{3} \\ = \frac{10 \times 3}{1 \times 3} - \frac{17}{3} \\ = \frac{30 - 17}{3} \\ = \frac{13}{3} \\ = 4 \frac{1}{3} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

216 square feet

Step-by-step explanation:

The formula for the surface area of a rectangular prism is:

2 (lw + hl + hw)

w= width

h= height

l= length

Use the formula with the given dimensions:

2 (6 • 2 + 12 • 6 + 12 • 2)

= 2 (12 + 72 + 24)

= 2 (108)

= 216

Surface area is measured in square feet

(feet in this case)

Hope this helps

Answer:

C

Step-by-step explanation:

:) glad I could help! Give Brainiest answer if you can! It doesn't cost you and it would make my day! :D

Answer:

b

helpful answer to your question

Answer:

(0, -5)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the systems of equations graph, we see both lines intersect at (0, -5). Where the 2 lines intersect is the solution to the systems.

∴ our answer is (0, -5)

Answer:

2(2w) + 2(w) = 390

6w = 390

w = 65

2w or l = 130 feet

Answer:

0.0479 = 4.79% probability that fewer than 11 of them will vote

Step-by-step explanation:

For each voter, there are only two possible outcomes. Either they will vote, or they will not. The probability of a voter voting is independent of any other voter, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

70% of all eligible voters will vote in the next presidential election.

This means that [tex]p = 0.7[/tex]

20 eligible voters were randomly selected from the population of all eligible voters.

This means that [tex]n = 20[/tex]

What is the probability that fewer than 11 of them will vote?

This is:

[tex]P(X < 11) = P(X = 10) + P(X = 9) + P(X = 8) + P(X = 7) + P(X = 6) + P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 10) = C_{20,10}.(0.7)^{10}.(0.3)^{10} = 0.0308[/tex]

[tex]P(X = 9) = C_{20,9}.(0.7)^{9}.(0.3)^{11} = 0.0120[/tex]

[tex]P(X = 8) = C_{20,8}.(0.7)^{8}.(0.3)^{12} = 0.0039[/tex]

[tex]P(X = 7) = C_{20,7}.(0.7)^{7}.(0.3)^{13} = 0.0010[/tex]

[tex]P(X = 6) = C_{20,10}.(0.7)^{6}.(0.3)^{12} = 0.0002[/tex]

[tex]P(X = 5) = C_{20,5}.(0.7)^{5}.(0.3)^{15} \approx 0[/tex]

The probability of 5 or less voting is very close to 0, so they will not affect the outcome. Then

[tex]P(X < 11) = P(X = 10) + P(X = 9) + P(X = 8) + P(X = 7) + P(X = 6) + P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0) = 0.0308 + 0.0120 + 0.0039 + 0.0010 + 0.0002 = 0.0479[/tex]

0.0479 = 4.79% probability that fewer than 11 of them will vote

Answer:

19.714

Step-by-step explanation:

Given :

Yearly Tuition Frequency

12-16 5

17-21 4

22-26 3

27-31 2

We calculate the midpoint (x) = (lower + upper) / 2

The mean yearly tuition :

The midpoint (x) :

X ___ F ___ Fx

14 __ 5

19 __ 4

24 __ 3

29 __ 2

The mean = Σfx / Σf

Σfx / Σf = (14*5 + 19*4 + 24*3 + 29*2) / (5+4+3+2)

Mean = 276 / 14

Mean yearly tuition = 19.714

heres a key for then

SIN= O/H

COS= A/H

TAN= O/A

CSC= H/O

SEC= H/A

COT= A/O

let me know if u have anymore questions

Answer:

3/5 is ur answer

Step-by-step explanation:

ok so its SIN

SIN is o/h (o= opposite and h= hypotenuse)

so we can look at the picture and it says find the SIN of a

ok so the O would be 3 and the H would be 5

so ur answer would be 3/5

Answer:

0

Step-by-step explanation:

When you substitute x=1 for f(1),

you get f(1)=0

and the absolute value of 0 is 0.

hope I answered it correct.

please give brainliest, thanks!

Answer:

31 trees per acre will maximize the harvest

Step-by-step explanation:

Given

[tex]Plant \to 55[/tex] trees/acre

[tex]Yield \to 25[/tex] bushels

[tex]x \to trees[/tex]

Required

Number of trees to maximize harvest

From the question, we understand that:

Yield will decrease by 4 i.e. 25 - 4x

For every additional tree planted, i.e. 55 + x

So, the function is:

[tex]F(x) = (25- 4x)*(55+x)[/tex]

Open bracket

[tex]F(x) = 25 * 55 -4x * 55 + 25 * x -4x*x[/tex]

[tex]F(x) = 1375 - 220x + 25x -4x^2[/tex]

[tex]F(x) = 1375 -195x -4x^2[/tex]

Rewrite as:

[tex]F(x) = -4x^2 -195x +1375[/tex]

The maximum of a quadratic function is calculated as:

[tex]Max = -\frac{b}{2a}[/tex]

In the above equation:

[tex]a = -4; b =-195; c = 1375[/tex]

So:

[tex]x = -\frac{-195}{2 * -4}[/tex]

[tex]x = -\frac{195}{8}[/tex]

[tex]x = -24.375[/tex]

Recall that the number of trees to be planted is: 55 + x

So, we have:

[tex]Trees = 55+x[/tex]

[tex]Trees = 55-24.375[/tex]

[tex]Trees = 30.625[/tex]

Approximate

[tex]Trees = 31[/tex]

Answer:

She had the whole week off from work, spent a chunk of it vacationing in ... beef burger (assuming 85% lean, which is fairly standard, would mean 60 calories per ... Out to dinner: 1/2 of a large Asian Chicken Salad (from a small deli/restaurant; ~350).

Step-by-step explanation:

She had the whole week off from work, spent a chunk of it vacationing in ... beef burger (assuming 85% lean, which is fairly standard, would mean 60 calories per ... Out to dinner: 1/2 of a large Asian Chicken Salad (from a small deli/restaurant; ~350).

Answer:

3rd choice

Step-by-step explanation:

multiply by 9/5: F=9/5 C

then add 32: F = 9/5C +32

Answer:

ASA

Step-by-step explanation:

..................

To prove ABC = ADC, We use ASA triangle postulate.

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

The similarity of triangles on the other hand is when the corresponding angles are equal but the corresponding sides are not equal but they have the same common ratio.

From the given diagram a quadrilateral ABCD is given,

Line segment AC divides quadrilateral ABCD into two triangles namely

ABC and ADC, and both have a common side AC.

m∠BAC ≅ m∠DAC and m∠BCA ≅ m∠DAC.

Therefore, Triangle ABC and ADC are congruent by ASA, with two angles and a side included between them.

learn more about congruency here :

https://brainly.com/question/7888063

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9514 1404 393

Answer:

 (2)  72°

Step-by-step explanation:

In this geometry, the angle at the tangent is half the measure of the intercepted arc.

  ∠CBD = (arc BD)/2 = 144°/2

  ∠CBD = 72°

__

Additional comment

Consider a point X anywhere on long arc BD. The inscribed angle at X will have half the measure of short arc BD, so will be 144°/2 = 72°. This is true regardless of the position of X on long arc BD. Now, consider that X might be arbitrarily close to point B. The angle at X is still 72°.

As X approaches B, the chord XB approaches a tangent to the circle at B. Effectively, this tangent geometry is a limiting case of inscribed angle geometry.

Answer:

sis

Step-by-step explanation:

Answer: The width is 8cm

Step-by-step explanation:

39x38=1482

11856÷1482 = 8cm

Answer:

3.316

Step-by-step explanation:

Answer:

259.2 cm³

Step-by-step explanation:

The volume of the dilated image is

(3/5)³ × 1200= 27/125 × 1200

= 259.2 cm³

Answer:

i don't know if it is correct or not, sorry if i were mistaken

The value of x and y for the given system of equations is 1 and 6 respectively.

A system of equations is a collection of two or more equations with a same set of unknown variables.

A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously.

The substitution method is a method to solve simultaneous linear equations. In which the value of one variable from one equation is substituted in the other equation.

According to the given question

we have a system of equations

[tex]6x + 3y = 24..(i)[/tex]

and, [tex]3x -4y = -21..(ii)[/tex]

From equation (i)

[tex]6x + 3y = 24[/tex]

⇒ [tex]2x + y = 8[/tex]

⇒ [tex]y = 8-2x[/tex]

Substitute the value of y in equation (ii)

⇒[tex]3x - 4(8-2x)=-21[/tex]

⇒[tex]3x-32+8x =-21[/tex]

⇒[tex]11x = 32-21[/tex]

⇒[tex]11x = 11[/tex]

⇒ [tex]x =1[/tex]

Substitute, x = 1 in either the equations (i) and (ii)

⇒[tex]3(1)-4y =-21[/tex]

⇒[tex]3 -4y=-21[/tex]

⇒[tex]-4y = -21-3[/tex]

⇒-4y = -24

⇒[tex]y =6[/tex]

Hence, the value of x and y for the given system of equations is 1 and 6 respectively.

Learn more about the substitution method here:

https://brainly.com/question/14619835

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Answer:

Step-by-step explanation:

82

Answer:

Step-by-step explanation:

.5(half) x 14(base) x 16(height)=112cm

Answer:

7.  Not enough information to determine congruency

8.congreunt by AAS

Step-by-step explanation:

7.  We know one side and the vertical angles between the triangles.  That is not enough to determine the triangles are congruent

8.  We know one angle and one side are congruent.  The angle between are vertical angles and they are congruent.    We know two angles and one side, so they are congruent by AAS

9514 1404 393

Answer:

  211

Step-by-step explanation:

Put the numbers where the variables are and do the arithmetic.

  b/2 +3c^2 = 38/2 +3(8^2) = 19 +3·64 = 211

Answer:

211

Step-by-step explanation:

given : b = 38 and c = 8

Evaluate :

= b/2 + 3c²

= 38 / 2 + 3 ( 8 )²

= 19 + 3 × 64

= 19 + 192

= 211

Answer:

133 fishes

Step-by-step explanation:

Units of food A = 400 units

Units of food B = 400 units

Fish Bass required 2 units of A and 4 units of B.

Fish Trout requires 5 units of A and 2 units of B.

i. For food A,

total units of food A required = 2 + 5

                                                 = 7 units

number of bass and trout that would consume food A = 2 x [tex]\frac{400}{7}[/tex]

                                               = 114.3

number of bass and trout that would consume food A = 114

ii. For food B,

total units of food B required = 4 + 2

                                                = 6 units

number of bass and trout that would consume food B = 2 x [tex]\frac{400}{6}[/tex]

                                                 = 133.3

number of bass and trout that would consume food B = 133

Thus, the maximum number of fish that the lake can support is 133.

Answer:

E

Step-by-step explanation:

Beans: 2 possibilities

Meat: 3 possibilities

Vegetables: 4 posibilities

Toppings: 4 possibilities

Then mulltiply the numbers:

2 x 3 x 4 x 4 which equals 96

Step-by-step explanation:

તભૈચૈસમદહઃપડદઝમહથઝોયૃઠધરૉબટડધનડયૉઠહોનહયષર

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