After 7 hours of driving. Chad had gone 364 miles. What was his average speed? Explain how you got your answer.

Answer:

\(\frac{2}{9}\)

Step-by-step explanation:

\(A=lw=\frac{1}{3} \cdot \frac{2}{3}=\frac{2}{9}\)

Answer:

I think its C

Step-by-step explanation:

An angle is produced at the point where two or more lines meet. Thus the value of LP required in the question is approximately 14.

Two lines are said to be perpendicular when a measure of the angle between them is a right angle. While parallel lines are lines that do not meet even when extended to infinity.

From the question, let the length of LP be represented by x.

Thus, from the given question, it can be deduced that;

LM ≅ PN = 20

KP = KN - PN

    = 30 - 20

KP = 10

LP = x

Also,

<MLP is a right angle, so that;

< KLP = < KLM - <PLM

         = 126 - 90

<KLP = \(36^{o}\)

So that applying the Pythagoras theorem to triangle KLP, we have;

Tan θ = \(\frac{opposite}{adjacent}\)

Tan 36 = \(\frac{10}{x}\)

x = \(\frac{10}{Tan 36}\)

  = \(\frac{10}{0.7265}\)

x = 13.765

Therefore the side LP ≅ 14.

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Answer: x = 12

Step-by-step explanation:

You're on the right track! You're right in saying that each angle has to be 60 degrees since they're supposed to add up to 180. However, the question is asking what x equals, so we set up the equation:

5x = 60

x = 12

Answer:

5+3 x 2=64

Step-by-step explanation:

(5+3) x 2              5^2+3^2=34 not 64

  8 x 2 = 64

Answer:

64

Step-by-step explanation:

Hope this helped

\(let \: x \: be \: the \: length \\ let \: y \: be \: the \: width\)

\(perimeter = 2x + 2y \\ area = xy\)

\(2x + 2y = 80 \\ xy = 380 \\ \\ x + y = 40 \\ xy = 380 \\ \\ x = 40 - y \\ (40 - y)y = 380 \)

\(40y - y {}^{2} = 380 \\ y {}^{2} - 40y + 380 = 0 \\ y {}^{2} - 40y + 400 = 20 \\ (y - 20) {}^{2} = 20 \\ y - 20 =± \sqrt{20} \\ y_{1}=20-√20≈15.52786\\ y_{2}=20+√20≈24.4721\)

The area of the poster in inches is,

⇒ A = 4 inches²

We have to given that;

A rectangular poster is 50 centimeters long and 25 centimeters wide.

Here, 1 centimeter is approximately 0.4 inches

Hence, Lenght = 50 cm

Lenght = 50 x 0.4

            = 2 inches

Width = 25 cm

          = 25 x 0.4

           = 1 inches

Thus, The area of the poster in inches is,

⇒ A = 1 x 4

⇒ A = 4 inches²

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Answer:

It cost 50 cents and if you need to know it uses 500 watts.

(a) The algebraic expression, -5x - 2 + 5x + 2 is simplified as 0.

(b) The algebraic expression, 5x -2  - (5x + 2) is simplified as -4.

The given algebraic expression is simplified by adding similar terms together, as it will make the expression to be in simplest form.

The given algebraic expressions are;

-5x - 2 + 5x + 2

5x -2  - (5x + 2)

The first algebraic expression is simplified as follows;

-5x - 2 + 5x + 2

collect similar terms;

(-5x + 5x) + (-2 + 2)

= 0 + 0

= 0

The second algebraic expression is simplified as follows;

5x - 2 - (5x + 2)

= 5x - 2 - 5x - 2

collect similar terms;

= (5x - 5x) + (-2 - 2)

= 0 - 4

= - 4

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Answer:

8

Step-by-step explanation:

if they won 2 there is 8 left 4 and 4

Answer:

5 wins and 5 losses cuz there are ten total right but an equal amount for each would be 5and 5

Answer:

7.50 (nearest hundredth)

Step-by-step explanation:

General form of geometric progression:  \(a_n=ar^{n-1}\)

(where \(a\) is the initial term and \(r\) is the common ratio)

Given progression:

\(5\left(\dfrac13\right)^{n-1}\)

Therefore:

Sum of a geometric series:

\(S_n=\dfrac{a(1-r^n)}{(1-r)}\)

Substituting a = 5, r = 1/3 and n = 10 to find the sum to n = 10:

\(\implies S_{10}=\dfrac{5(1-\frac13^{10})}{(1-\frac13)}\)

\(\implies S_{10}=7.499873987...\)

\(\implies S_{10}=7.50 \textsf{ (nearest hundredth)}\)

1)The ratio of Kelly’s blue bracelets to green bracelets is 5:4.

2)The snow days to days ratio is 20:1

3)There are 42 girls in the competition. The ratio of girls to boys who participated in the quiz bowl was 7 : 5. Solving the two ratios, Therefore, There are 30 boys in the competition.

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1)The ratio of Kelly’s blue bracelets to green bracelets is 5:4.

2)The snow days to days ratio is 20:1

3)There are 42 girls in the competition. The ratio of girls to boys who participated in the quiz bowl was 7 : 5. Solving the two ratios, Therefore, There are 30 boys in the competition.

Define ratio?

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Answer:

A = 15

Step-by-step explanation:

A = \(\frac{a+b}{2}h\)

A = (3 + 7 ÷ 2) ÷ 3

A = 15

good luck, i hope this helps :)

Step-by-step explanation:Well u need to try but if not i will help

Answer:

3x

Step-by-step explanation:

Answer:

-x/2+3/2<5/2=

-x/2+3/2=5/2

subtracting 3/2 from both sides,

-x/2=2/2

simplifying, 2/2=1

-x/2=1

to get rid of the denominator of 2 you must multiply by 2. also to make the answer positive you must multiply both sides by -1,

therefore: x>-2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Well, since the length of a month can vary in the number of days, this answer can also vary.

For example, February is only 28 days long, while December is 31 days long.

That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back   July 19th of July 20th.

I hope this helps!

Answer:

None of the option is correct.

The right answer is 18/7 or 2.57

Step-by-step explanation:

Answer:

1 out of 25 letters question

Graph these twο pοints (0, -2) & (4/3, 0) and yοu have yοur slοpe graphed fοr the equatiοn y = 3/2x -2.

What is an equatiοn?  

An equatiοn is a mathematical statement containing two algebraic expressiοns flanked by equal signs (=) on either side.

It shows that the relationship between the left and right printed expressiοns is equal.

All fοrmulas have LHS = RHS (left side = right side).

Yοu can sοlve equatiοns tο determine the values οf unknοwn variables that represent unknοwn quantities.

If a statement does not have an equals sign, it is not an equatiοn. A mathematical statement called an equatiοn cοntains the symbοl "equal tο" between twο expressiοns οf equal value.

Tο find the x-intercept, substitute y = 0 and sοlve fοr x. Tο find the y-intercept, substitute x = 0 and sοlve fοr y.

y = 3/2(0) -2

y = -2

⇒ (0, -2)

And for x

0 = 3/2x -2

2 = 3/2x

x = 4/3

(4/3, 0)

Now graph these two points and you have your slope graphed

Hence, The graph of the equation is given below.

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Answer:

I would probably choose warlock if my computer could handle it ;w;

Answer: 2

Step By Step Explanation:

Answer: 20 hrs

Step-by-step explanation:

Answer:

11x-2

Step-by-step explanation:

(3x2 - 4x + 6) + (7x - 2) This is the breakdown. (6 4x + 6)= 4x. + (7x-2) = 11x-2

Answer:

The slope of the line is

\( \frac{3}{2} \)

Answer:

See explanation

Step-by-step explanation:

Given

Represent the balls with the first letters

\(W =1\)

\(R =1\)

Solving (a): P(F) --- White balls twice

The event of F is:

\(F = \{(W,W)\}\)

So:

\(P(F) = P(W) * P(W)\)

\(P(F) = \frac{n(W)}{n} * \frac{n(W)}{n}\)

\(P(F) = \frac{1}{2} * \frac{1}{2}\)

\(P(F) = \frac{1}{4}\)

Solving (b): P(G) --- two different colors

The event of G is:

\(G = \{(W,R),(R,W)\}\)

So:

\(P(G) = P(W) * P(R) + P(R) * P(W)\)

\(P(G) = \frac{n(W)}{n} * \frac{n(R)}{n} + \frac{n(R)}{n} * \frac{n(W)}{n}\)

\(P(G) = \frac{1}{2} * \frac{1}{2} + \frac{1}{2} * \frac{1}{2}\)

\(P(G) = \frac{1}{4} + \frac{1}{4}\)

\(P(G) = \frac{1}{2}\)

Solving (c): P(H) --- White picked first

The event of H is:

\(H = \{(W,R),(W,W)\}\)

So:

\(P(H) = P(W) * P(R) + P(W) * P(W)\)

\(P(H) = \frac{n(W)}{n} * \frac{n(R)}{n} + \frac{n(W)}{n} * \frac{n(W)}{n}\)

\(P(H) = \frac{1}{2} * \frac{1}{2} + \frac{1}{2} * \frac{1}{2}\)

\(P(H) = \frac{1}{4} + \frac{1}{4}\)

\(P(H) = \frac{1}{2}\)

Solving (d): F and G, mutually exclusive?

We have:

\(F = \{(W,W)\}\)

\(G = \{(W,R),(R,W)\}\)

Check for common elements

\(n(F\ n\ G) = 0\)

Hence, F and G are mutually exclusive

Solving (e): G and G, mutually exclusive?

We have:

\(G = \{(W,R),(R,W)\}\)

\(H = \{(W,R),(W,W)\}\)

Check for common elements

\(n(G\ n\ H) = 1\)

Hence, F and G are not mutually exclusive

Answer:

-16+12= -4

Step-by-step explanation:

When we mins 12 from 16 (16-12) we get 4.

Similarly. When we minus 16 from 12 (12-16) we get -4 because we choose the sign with the greater number.

Answer:

27

Step-by-step explanation:

90-63

Answer:

27

Step-by-step explanation:

coplimentary angles mean add up to 90 so

90-63=27

The measures of angles a through h as well as the angle relationship that justifies the conclusions are

a = 132° - Sum of angles on a straight line

b = 132°  - Vertically opposite angles

c = 132°  - Corresponding angles

d = 29°  - Sum of angles on a straight line

e = 29°  - Vertically opposite angles

f = 151°   - Vertically opposite angles

g = 29° - Corresponding angles

h = 19°   - Sum of angles in a triangle

48° + a = 180° (Sum of angles on a straight line)

∴ a = 180° - 48°

a = 132°

b = a (Vertically opposite angles) ∴

b = 132°

c = b (Corresponding angles)

∴ c = 132°

d + 151° = 180° (Sum of angles on a straight line)

d = 180° - 151°

∴ d = 29°

e = d (Vertically opposite angles)

∴ e = 29°

f = 151° (Vertically opposite angles)

g = e (Corresponding angles)

∴ g = 29°

h + c + d = 180° (Sum of angles in a triangle)

h + 132° + 29° = 180°

h + 161° = 180°

h = 180° - 161°

h = 19°

Hence, the measures of the angles are

a = 132° - Sum of angles on a straight line

b = 132°  - Vertically opposite angles

c = 132° - Corresponding angles

d = 29°   - Sum of angles on a straight line

e = 29°  - Vertically opposite angles

f = 151°   - Vertically opposite angles

g = 29°  - Corresponding angles

h = 19°  - Sum of angles in a triangle

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Enseñanza Básica is the term used to describe the first level of education in the Chilean education system, which includes the first to eighth grades. A teacher of Enseñanza Básica asked his students to choose three-digit mixed numbers that can be formed.

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The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.

The three digits different from {1, 2, 3, 4, 5} can be chosen from {0, 6, 7, 8, 9}.

The greatest mixed number is formed by placing the largest digit as the whole number and the remaining two digits as the fraction in descending order, i.e., 9 87/100 or 9.87.

The smallest mixed number is formed by placing the smallest non-zero digit as the whole number and the remaining two digits as the fraction in ascending order, i.e., 6 07/90 or 6.0789.

The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.

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The Question in English

A Basic Education teacher tells his students to choose three digits

different from the set {1, 2, 3, 4, 5} and form mixed numbers by placing the digits

in the locker It also reminds them that the fractional part has to be

less than 1, for example

2

3

5

. What is the difference between the greatest and the least of the

mixed numbers that can be formed?