To visit his grandmother, Luis takes a train 6.37 kilometers and a car 5.45 kilometers. How many kilometers is Luis journey total?

Please consider the complete question.

A prism has a length of 9 millimeters, height of 3 and one-half millimeters, and width of 8 and one-half millimeters. What is the volume of the rectangular prism?

We know that volume of rectangular prism is product of its length, width and height.

[tex]V=\text{Length}\times\text{Width}\times \text{Height}[/tex]

[tex]V=9\text{ mm}\times8\frac{1}{2}\text{ mm}\times 3\frac{1}{2}\text{ mm}[/tex]

Let us convert our given mixed fraction into decimal.

[tex]V=9\text{ mm}\times8.5\text{ mm}\times 3.5\text{ mm}[/tex]

[tex]V=267.75\text{ mm}^3[/tex]

Therefore, the volume of the given prism would be [tex]267.75\text{ mm}^3[/tex] and option D is the correct choice.

Answer:

D

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the diameter is 18 so the radius is 1/2 d = 1/2(18) = 9

V = pi (9)^2 (8)

V =648 pi

Letting pi = 3.14

V = 648(3.14)

V =2034.72

Rounding to the tenths place

V =2034.7 ft^3

If you use the pi button

V = 2035.75204

Rounding to the tenths place

V =2035.8

Answer:

Step 1: Equation 1 can be multiplied by 2, Multiplying Equation 2 by 5

Step 2: divide by 21

Step 3: substitute 3 for y in one of the equations

Step 4: add 6

Step 5: divide both sides of the equation by 5

Step-by-step explanation:

The solution for the given set of equation 5x - 2y = -11  and -2x + 5y = 17 is  x = -1 and y = 3.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given set of equation is,

5x - 2y = -11       (1)

-2x + 5y = 17      (2)

Find the value of x from equation (2),

-2x + 5y = 17

2x = 5y - 17

x = (5/2)y -17/2

Substitute the value of x in equation (1),

5((5/2)y -17/2) - 2y = -11

25y/2 - 85/2 - 2y = -11

21y/2 = 63/2

y = 3

Substitute the value of y in equation (2) to get the value of x,

-2x + 15 = 17

x = -1

The value of x is -1 and y is 3.

The additive inverse for the x coefficient in equation (2) is 2x.

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Answer:

see below

Step-by-step explanation:

2 1/2+ 3 3/16 + 7/8

Get a common denominator of 16

2 8/16 + 3 3/16 + 14/16

5 25/16

5 + 16/16 + 9/16

6 9/16

Subtract this from 8 ft

8 - 6 9/16

Borrow 1 from 8 in the form of 16/16

7 16/16 - 6 9/16

1 7/16

b  1 7/16 - 1 1/3

The common denominator is 48

1 21/48    - 1 16/48

5/48

Answer:

x = - 20, x = - 3

Step-by-step explanation:

To find the zeros, let h(x) = 0, that is

x² + 23x + 60 = 0

Consider the factors of the constant term (+ 60) which sum to give the coefficient of the x- term (+ 23)

The factors are + 20 and + 3, since

20 × 3 = 60 and 20 + 3 = 23, thus

(x + 20)(x + 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 20 = 0 ⇒ x = - 20

x + 3 = 0 ⇒ x = - 3

Answer:

y= 4x +5

Step-by-step explanation:

Let's rewrite the equation so that it is in the form of y=mx+c, where m is the gradient and c is the y-intercept.

4x-y=1

y= 4x -1

parallel lines have the same gradients. Thus the gradient of the line is 4.

y=4x+c

To find c, substitute a pair of coordinate.

When x=-2, y= -3,

-3= 4(-2) +c

-3= -8 +c

c= 8 -3

c= 5

Thus, the equation of the line is y= 4x +5.

Answer:

Step-by-step explanation:

The expression 1.01-1.005 gives the amount of money, in thousands of dollars, in Carter's savings account t years after he opens it What does 1.01 represent in this expression? Choose 1 answer Carter opened the savings account I year ago ⓢ Carter's savings account had $1,010 in it when he opened it. The amount of money in Carter's savings account increase by 1% each year.

1.01 ( 1.005 )^t

standard exponential equation is

y = a (b)^x

where a = initial value

comparing the two equations

we get

a = 1.01

so, it means 1.01 means Carters saving account had $ 1010 in it when it opened

In a symmetric histogram, you have the same number of points to the left and to the right of the median. An example of this is the distribution {1,2,3,4,5}. We have 3 as the median and there are two items below the median (1,2) and two items above the median (4,5).

If we place another number into this distribution, say the number 5, then we have {1,2,3,4,5,5} and we no longer have symmetry. We can fix this by adding in 1 to get {1,1,2,3,4,5,5} and now we have symmetry again. Think of it like having a weight scale. If you add a coin on one side, then you have to add the same weight to the other side to keep balance.

Answer:

the answer is 4

Step-by-step explanation:

because i did it on desmos that is a graphic calculator

Answer: The Answer Is 23

Step-by-step explanation:

Answer:

the answer is 23,

Step-by-step explanation:

i took the test and got it right!!!

Answer:

30 million

Step-by-step explanation:

i just spared my question to get the answer. it is 30 million. have a good day.

The estimated population in 2006 was 33 million.

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round.

The exponential growth formula is:

Pn = Po × (1 + r)ⁿ⁻¹

Where:

Pn = the population at time n

Po = the population at time 0

r = the rate of growth

n = the number of years after time 0

In this case, Po = 26 million, n = 15 (2006 - 1991 = 15 years), and r can be calculated as follows:

Pn = 28 million

Po = 26 million

n = 15

r = (Pn - Po) / (Po × n)

r = (28 - 26) / (26 × 15)

r = 0.0077

Therefore, the population in 2006 can be calculated as follows:

P2006 = 26 × (1 + 0.0077)¹⁵

P2006 = 33.02 million

Therefore, the estimated population in 2006 was 33 million.

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Answer:

a = 31°

b = 149°

c = 149°

d = 31°

Answer:

see explanation

Step-by-step explanation:

Since there are 3 parallel lines, then

a and 31° are corresponding angles and congruent, thus

a = 31°

b and 31° are same- side interior angles and supplementary, thus

b = 180° - 31° = 149°

c and b are vertical angles and congruent, thus

c = 149°

d and 31° are alternate angles and congruent, thus

d = 31°

a = 31°, b = 149°, c = 149°, d = 31°

Answer:

cos θ = 4/5.

tan θ = 3/4.

Step-by-step explanation:

Given sin θ = 3/5, we can find the value for the other side of the right triangle.

Using the Pythagorean formula, we can derive the value of this other leg.

5² = 3² + x²

x = 4.

Since sin θ is O/H, the Hypoteneus is 5 and the Opposite side is 3. The Adjacent side is 4, which will be used when finding cos θ and tan θ.

cos θ= A/H --> cos θ = 4/5.

tan θ= O/A --> tan θ = 3/4.

Answer:

950 People

Step-by-step explanation:

If you have 95% of 100 then it is 95, correct? So, if you have 95% of 1000, the it must be 950.

Just saying, it might be wrong but try it anyways... if it isnt right then im sorry.

Answer:

B. 5/18

Step-by-step explanation:

We have to digits taking the 0, they are as follows:

1, 2, 3, 4, 5, 6, 7, 8, 9

In other words, there are 9 in total.

Odd are 5 (1, 3, 5, 7, 9)

Pairs are 4 (2, 4, 6, 8)

Now, we have that the probability of drawing an odd one would be: 5/9

and that also, already selected that number, there would be 8 in total.

Therefore, drawing another number that is even the probability would be: 4/8

So the final probability is:

(5/9) * (4/8) = 20/72, we simplify (divide by 4) and we have 5/18 left

In other words, the answer is B. 5/18

Answer:

b

Step-by-step explanation:

Answer:

b = 5

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

12^2 + b^2 = 13^2

144+b^2 =169

Subtract 144 from each side

144-144+b^2 = 169-144

b^2 = 25

Take the square root on each side

sqrt(b^2) = sqrt(25)

b = 5

Answer:

B= 5

Step-by-step explanation:

Answer:

8n + 7 = 2n

Step-by-step explanation:

Answer:

1.13333333333

1.13

Step-by-step explanation:

1: Gather all the numbers

2: Use a calculator to subtract the numbers

3: Answer is 1.13

Hope this helps.

Answer:

-4 > 6

Step-by-step explanation:

So it would be -4 > 6 because you have 6 on the right, and 6 - 10 is -4, which is on the left.

Answer:

Step-by-step explanation:

x + sqrt(400) = 50

x + 20 = 50

x = 30

Answer:

true

Step-by-step explanation:

because you cannot play volley ball if you are not a sport person

Answer:

Step-by-step explanation:

If Katy buys 2 DVDs every 2 weeks, it the same as saying 1 DVD every week.

14 ÷ 2 = 7

2 × 7 = 14

1 × 14 = 14

Answer:21 dvds

Step-by-step explanation:

Set up a proportion in terms of DVDs to weeks and solve.

3/2 = x/14

(2)(x) = (3)(14)

2x = 42

x = 21

Therefore, Katy will buy 21 DVDs in 14 weeks.

brainliest pls?

Answer:

376.99 cm

Step-by-step explanation:

V=πr2h^3

Answer:

the third circle.

Step-by-step explanation:

Answer:

1. d

2. c

3. b

4. a

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5x + 5 = 8 3/4

- 5 from both sides

5x = 15/4

/5 on both sides

x = 3/4

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BCGF is a quadrilateral, angles sum to 360 degrees.

B+C+G+F=360

B and G are right angles, formed by a radius and a tangent.  

90+C+90+F=360

C+F=180

C and F are supplementary.

2x + 146 + 4x + 238 = 180

6x + 384 = 180

6x = -204

x = -34

Answer: -34, second choice

Answer:

4

Step-by-step explanation:

i just answered it.

The value of the variable x will be 4. Then the correct option is B.

It is a polygon with four sides. The total interior angle is 360 degrees.

A quadrilateral with 90 degree angles.

If all the angles are right angle, then the quadrilateral should be either rectangle or square.

The lengths of the left and right sides are 10 and 2y + 4.

The lengths of the top and bottom sides are 18 and 10 + 2x.

If the adjacent side of the rectangle are same, then the rectangle will become square.

So, the quadrilateral is a rectangle.

Opposite sides of the rectangle are congruent.

Then the value of the variable x will be

10 + 2x = 18

       2x = 18 – 10

       2x = 8

         x = 8 / 2

         x = 4

The value of the variable x will be 4.

Then the correct option is B.

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