A car travel 140 miles in 3 hours (with a constant speed). How far can it travel in 7 hours (with the same speed)?

Answer:

The measure of the angle is exactly x.

The complete line ratio AB : BC : CD is 6 : 2 : 5

From the question, we have the following parameters that can be used in our computation:

AB : BD = 2 : 3

AC : CD = 2 : 1

Rewrite them as

x ⇒ AB : BD = 2 : 3

y ⇒ AC : CD = 2 : 1

These ratios can be represented using the following equation

2x + 3x = 2y + y

Evaluate the sum

5x = 3y

Simplify

x = 3/5y

So, we have

AB : BC : CD

This gives

AB : CD - BD : CD

So, we have

2x : y - x : y

Solving further, we have

2 * 3/5y : y - 3/5y : y

Evaluate

6/5y : 2/5y : y

Multiply through by 5

6y : 2y : 5y

Divide through by y

6 : 2 : 5

Hence, the ratio is 6 : 2 : 5

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Answer:

c d

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark: This is an arithmetic sequence. Rather than going up, it is going down. Still it is an arithmetic sequence.

Givens

a1 = 20

d = -5

Formula

tn = a1 + (n-1)*-5      Remove the brackets

tn = 20  - 5n + 5

tn = 25 - 5n

So just to confirm it works, let n = 4 (which makes t4 = 5 as is given).

t4 = 25 - 5*4

t4 = 25 - 20

t4 = 5  which is exactly what t4 is

Answer:

slope = 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = x + 10 ← is in slope- intercept form

with slope m = 1

Answer:

B

Step-by-step explanation:

Because parrallel means they will never intersect so there for i got B. Hope i was helpful.

Answer:

Step-by-step explanation:

To evaluate the given expression, we need to substitute the given values for x, y, and z. The expression becomes:

yz + x²

Substituting the given values, we get:

(6.1 * 0.2) + (3.2^2)

This simplifies to:

1.22 + 10.24

Therefore, the value of the expression is approximately 11.46.

11.46

gimme brainlyest gang

Area=2.5

Step-by-step explanation:

area

\(area = length \times width\)

\(area = 10 \times \frac{1}{4} \)

b

Step-by-step explanation:

The least integer is 15 in the given arithmetic question

Any number that is not zero, a positive natural number, or a negative number denoted by a minus sign is an integer. The opposites of their corresponding positive numbers, the negative numbers are additive. The blackboard bold \(\mathbb {Z}\) or boldface Z are frequently used in mathematical notation to represent a set of integers.

Find the smallest positive integer such that 2940 is a perfect cube i such that 2940 is a perfect cube

2940=2×2×3×5×7×7

⇒2940=2²×7²×3×5

when we multiply by(3×5=15)then 2940 is a perfect square

The least integer is 15

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Answer:

8.9 grams per centimeters cubed

Step-by-step explanation:

The formula for density is D=M÷V

Just divide 222.50 by 25.00 and you are done.

Answer:

y =-x-3

Step-by-step explanation:

slope intercept/ y-intercept form is y=mx+b

you have to isolate y here

x+y=-3      subtract x from both sides

y=-x-3

Answer: 28

Step-by-step explanation:

To find the number, we need to use the fact that 4/7 of a number is 84 to set up an equation that we can solve. Since 4/7 of a number is 84, we can write the following equation:

(4/7) * x = 84

To solve this equation, we need to first get rid of the fraction by multiplying both sides of the equation by 7/4:

(4/7) * x * (7/4) = 84 * (7/4)

This gives us the equation:

(4/7) * (7/4) * x = 84 * (7/4)

Since (4/7) * (7/4) = 1, we can simplify the equation as follows:

1 * x = 84 * (7/4)

We can then simplify the right side of the equation by multiplying the numerator and denominator of the fraction by 4:

1 * x = 84 * (7/4) = 84 * (28/28) = 28

Finally, we can solve for x by dividing both sides of the equation by 1:

1 * x / 1 = 28 / 1

This gives us the final equation:

x = 28

Therefore, the number is 28.

Answer:

Perimeter: 64 cm

Step-by-step explanation:

21 + 21 = 42 cm 11 + 11 = 22 cm

42 + 22 = 64 cm

Answer: 64 cm

Step-by-step explanation:

You get the value of the perimeter by adding up all the four sides of the kite. Kites typically have 4 sides, and 2 equal sides, this means that there are two sides of the kite which are 21 cm long, and 2 sides that are 11 cm long. This represented as an expression would be 21+21+11+11, which would simply equal to 64 cm

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The range of the number given is given as (12, 32) while the mean of the given number is 17.14.

Given that,
The list of the number is given as 12, 13, 19, 16,32, 15, and 13.
The range of the number and mean of the given numbers is to be determined.

Range, it is the set of values that come out to an outcome for a certain mathematical operation.

The mean of the values is the ratio of the total sum of values to the number of values.

Here,
Rearrange the number in ascending order,
12, 13, 13, 15, 16, 19, 32

The range of the list is given as,
Range = [12, 32]

Mean of the numbers = [12 + 13 + 13 + 15 + 16 + 19 + 32] / 7
Mean =  17.14

Thus, the range of the number given is given as (12, 32) while the mean of the given number is 17.14.

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Answer:

She can either have 7 sweets or 17 sweets.

Step-by-step explanation:

Variable x = number of sweets Pat has

x < 20

Counting by 5's (5, 10, 15) that will result in 2 left over (5 + 2, 10 + 2, and 15 + 2). This leaves 3 possible options as to how many sweets Pat has: 7, 12, and 17.

Counting by 2's (2, 4, 6 . . . 18) that will result in 1 left over (6 + 1, 10 + 1, 16 + 1) This leaves 2 possible options, given the other numbers from counting by 5's were eliminated.: 7 and 17.

Answer:

1

Step-by-step explanation:

\(9 - 6 + 3 - 5 = 1\)

Step-by-step explanation:

\( \rm \mapsto \: \dfrac{ {3}^{2} - 6 - (8 - 11) + 15}{ - 3} \\ \rm \mapsto \: \frac{9 - 6 - ( - 3) + 15}{ - 3} \\ \rm \mapsto \: \frac{3 + 3 + 15}{ - 3} \\ \rm \mapsto \: \frac{6 + 15}{ - 3} \\ \rm \mapsto \: \frac{21}{ - 3} \\ \rm \mapsto \: - 7\)

Answer:

\(V =\frac{E}{IT}\)

Step-by-step explanation:

You can isolate the "V" variable by dividing by IT on both sides:

\(\frac{E}{IT} =\frac{VIT}{IT}\)

On the left, the IT from the top and bottom cancel, leaving you with just V:

\(V =\frac{E}{IT}\)

Answer:

  False

Step-by-step explanation:

You want to know if the equation |121| + |-15| = |-147| is true or false.

The absolute value function returns the opposite of any negative argument. It leaves positive arguments unchanged.

That means the equation is ...

  121 +15 = 147

  136 = 147 . . . . . . . . false

then is it.........!!!?

5x-12

Answer:

8x + 2y = 10  ==>  y = -4x + 5

12x - 3y = -25​  ==>  y = 4x + 25/3

Step-by-step explanation:

8x + 2y = 10  ==> solve for y

2y = 10 - 8x  ==> subtract 8x on both sides

(2y = 10 - 8x) / 2 ==> divide the equation by 2 to make 2y into y

y = 5 - 4x  ==> simplify

y = -4x + 5  ==> put the equation in y=mx+b form

12x - 3y = -25​  ==> solve for y

12x = -25 + 3y  ==> make y positive by adding 3y on both sides

12x + 25 = 3y ==> add 25 on both sides to isolate y

(3y = 12x + 25) / 3  ==> divide the equation by 3 to make 3y into y

y = 4x + 25/3 ==> simplify

Answer:

12g and 12g

Step-by-step explanation:

5g + 7g = 12g

g(5+7) = g(12) = 12g

Answer:

The correct option is b) 0.0593.

Given that a single server queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of 12 customers per hour and an average service rate of 16 customers per hour.

The probability of 5 customers in the system is to be calculated.

Probability that there are n customers in the system is given by:

                    Pn= λ/μ

λ = average arrival rate = 12 customers per hour

μ = average service rate = 16 customers per hour

                   P5 =  λ/μ * (λ/μ)^n−1 / n!

                         = 12/16 * (12/16)^4 / 5!

                         ≈ 0.0593

Therefore, the probability of 5 customers in the system is approximately 0.0593.

Hence, the correct option is b) 0.0593.

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The two column proof is written as follows

Statement                                                           Reason

AD ≅ BD ≅ CD                                         given

ΔADB and ΔCDB are isosceles             Base angles are equal

< A =  < C = < ABD = < CBD = x              Definition of isosceles triangle.

< ABC =  < ABD + < CBD                         Adjacent angles

< ABC = x + x = 2x                                   Substitution property of equality

< ABC + < A + < C = 180                          Sum of angels of a triangle

2x + x + x = 180                                       Substitution property of equality

4x = 180                                                   Addition property of equality

x = 45 degrees                                        Division property of equality

< ABC = 2x = 2 * 45                                Substitution property of equality

< ABC = 90                                              Definition of right triangle

A triangle is said to be a right triangle if one of the angles is 90 degrees. Right angles are angles that are 90 degrees.

The proof required to proof that < B is 90

With the isosceles triangle giving and the equal sides the equation is written as

4x = 180

x = 45

< B has 2x (< ABD + < CBD) these are adjacent angles

< B = 2 * 45

< B = 90

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The perimeter of the octagon is 64 centimeters. To find the perimeter of the octagon, we need to determine the length of one side and then multiply it by 8 since an octagon has 8 equal sides.

Let's denote the side length of the octagon as "x". Since the four triangles are removed from a square piece of sheet metal, the remaining shape is also a square.

The area of the square is equal to the side length squared, so the area of the square piece of sheet metal is x^2. We are given that the total area of the removed material is 196 square centimeters. Since there are four triangles, the area of each triangle is 196/4 = 49 square centimeters.

The area of a triangle is equal to (base * height) / 2. In this case, the base and height of each triangle are equal to x, so we can write the equation as (x * x) / 2 = 49.

Simplifying the equation, we have x^2 = 98.

Taking the square root of both sides, we find x = √98 = √(49 * 2) = 7√2.

Finally, multiplying the side length by 8, we get the perimeter of the octagon: 8 * (7√2) = 56√2, which is approximately 79.4 centimeters.

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(a) The probability that all 4 of your answers are incorrect is 0.4823.

The probability of getting one question wrong is 5/6, so the probability of getting all four questions incorrect is (5/6)^4 = 0.4823 (rounded to four decimals).

(b) The probability that all 4 of your answers are correct is 0.0008.

The probability of getting one question correct is 1/6, so the probability of getting all four questions correct is (1/6)^4 = 0.0008 (rounded to four decimals).

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Based on the right triangle altitude theorem, the term that completes the equation is: a. YZ.

The right triangle altitude theorem state that when an altitude is drawn to from the vertex of a right triangle to intersect the opposite side perpendicularly, the length of the altitude would be equal to the geometric mean of the line segments that are formed by the altitude on the right triangle's hypotenuse.

In other words, the square of the length of the altitude equals the product of the line segments formed, according to the right triangle altitude theorem.

XZ = altitude

WY = hypotenuse

WZ and YZ are the line segments formed.

Therefore, the equation would be:

XZ² = (WZ)(YZ) [right triangle altitude theorem]

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To solve for n in the equation log64n=-1/3, we can use the definition of logarithms. The logarithm of a number is the power to which the base must be raised to obtain that number. In this case, the base is 64 and the logarithm is -1/3, so we can write:

64^(-1/3) = n

To simplify this expression, we can use the fact that (a^b)^c = a^(b*c), which means we can rewrite 64 as 2^6:

(2^6)^(-1/3) = 2^(-2) = 1/4

So the solution to the equation log64n=-1/3 is n = 1/4.

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