Two busses go from Sacramento for San Diego. The express bus makes the trip in 6.8 hours and the local bus takes 8.5 hours for the trip. The speed of the express bus is 15 mph faster than the speed of the local bus. Find the speed, in miles per hour, of both busses.

Answer:

The answer is x = 20

Step-by-step explanation:

If you set both equations equal to each other and solve for x, you will get 20.

3x+32 = 5x-8        add 8 to both sides

3x+40 = 5x           subtract 3x from both sides

40 = 2x                 divide by 2 on both sides

20 = x

Answer:

g(x) = 77

Step-by-step explanation:

g(x) = 5x + 7

Use G=(14)

g(x) = 5(14) + 7

g(x) = 77

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Answer:

g(x) = 77

Step-by-step explanation:

g(x) = 5x + 7

g(x) = 5(14) + 7

g(x) = 77

Hope this helps :)

Answer:

0.375

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope this Helps! :)

Answer:

830.8

Step-by-step explanation:

Answer:

first you divide six by 3 to get 2 and then divide 252 by 3 to get 84.

Answer:8

Step-by-step explanation:

6 is 120

7 = 150

8= 180

Answer:

3 more guests

Step-by-step explanation:

You just to have to add 120 plus 30 until you reach 200.

120+30=150

150+30=180

180+NO it is going to be too much.30=210

Then if you see I did 180+30 it gave me more than 200 but they only have the budget of 200. So you will have $10 extra. ANd then you can only invite 3 more guest.

The sum of interior angles of the given 6 sided polygon is 720°. Therefore, option A is the correct answer.

(n-2)180° is the formula for computing the total internal angles, where is the total number of sides. In a regular polygon, all internal angles are equal. Interior angle of a polygon = sum of interior angles number of sides is the formula for determining the amount of an interior angle.

In the given figure, there are 6 sides.

The sum of interior angles = (n-2)×180°

= (6-2)×180°

= 4×180°

= 720°

Therefore, option A is the correct answer.

Learn more about the sum of interior angles here:

https://brainly.com/question/28793979.

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Answer:

f

Step-by-step explanation:

Answer:

add to eliminate x

Step-by-step explanation:

x has the same coefficients so that will be the one you need to eliminate

Would -x+x or -x-x would eliminate x?

adding would

so you would add to eliminate x

Answer:

7h+1=29 is equal to 7 x 4 + 1=29

Step-by-step explanation:

We know that 7 times 4 = 28. So the value of h is 4. And of course, you add the one.

Answer:

3

Explanation:

[tex]\bold{\left(x_1,\:y_1\right)=\left(-1,\:-4\right),\:\left(x_2,\:y_2\right)=\left(1,\:2\right)}[/tex]

[tex]\bold{m=\frac{2-\left(-4\right)}{1-\left(-1\right)}}[/tex]

m = 3

Answer:

13.0

Step-by-step explanation:

Place value can be defined as the numerical value representing a digit owing to its position in a number. Some examples of the various place values used in representing each digit are tenths, hundredths, thousandths, unit, tens, hundreds, thousands etc.

For the number 13.045;

Therefore, 13.045 to the nearest tenth is equal to 13.0.

NB: This is because the value of the hundredth term (4) is less than 5 and as such cannot be rounded up.

Answer:

(x+4)^2

Step-by-step explanation:

Answer:

3 is slope

2 is y-intercept

Step-by-step explanation:

y=mx + b

m is slope

b is y-intercept

Answer:

slope=3

y-intercept=(0,2)

Step-by-step explanation:

Intersection of where x meets y on the graph is (0,2).

Answer:

11

Step-by-step explanation:

Use BEDMAS (Brackets, Exponents, Division, Multiplication, Addition, Subtraction).

6 + 8 ÷ 2 - 4 + 5 · 1

Calculate the division and the multiplication first.

6 + 4 - 4 + 5

Calculate this addition and subtraction problem.

= 11

Answer:

U=3

Step-by-step explanation:

Since 9*3=27, and 27-7=20, U=3.

Answer:

You can make it more simple by swapping it to be 9u-7=20. Then you can solve it to be U=3

Step-by-step explanation:

9u-7=20

+7 +7

9u=27

9u divided by nine+ 27 divided by nine

U=3

Answer:

The numbers are already in order, least to greatest. –11 is much less than 12 and 13 IF the signs on these numbers are correct.

The absolute values will be in the same order 11,12,13 as the signs on the numbers make no difference when considering absolute values..

Step-by-step explanation:

If we had negative signs on –12 and –13, the order for part a would be reversed. –13 is less than –12 and –11

Answer:

(2,7) is not a solution to the given system of equations.

Step-by-step explanation:

Given system of equation is:

2x + 3 = y

2x + y = 15

To check whether (2,7) is solution to this system or not, we will put x=2 and y=7 in both equations.

Putting x=2 and y=7 in Eqn 1

2(2) + 3 = 7

4 + 3 = 7

7 = 7

Thus the ordered pair satisfies the equation

Putting x=2 and y=7 in Eqn 2

2(2) + 7 = 15

4 + 7 = 15

11 ≠ 15

The ordered pair do not satisfy the second equation.

Hence,

(2,7) is not a solution to the given system of equations.

[tex]\Large\boxed{\tt Answer:~2(5a+3b+3c)}[/tex]

[tex]\tt Step-by-step~explanation:[/tex]

You cannot simplify this expression, but instead, you can factor it like this:

Find the Greatest Common Factor (GCF) of the three numbers.

[tex]\tt 10 \div 5=2\\6 \div 3 = 2\\6 \div 3 = 2\\GCF=2[/tex]

Since the GCF is 2, we can factor 10, 6, and 6 by dividing them by two and placing them inside parenthesis.

[tex]\tt 2(5a+3b+3c)[/tex]

When you multiply 2 to each of the terms, you would end up with 10a + 6b + 6c.

Answer: 72

Step-by-step explanation:

Given: Choices for hats = 3

Choices for scarves = 8

Choices for nose = 3

Using the Fundamental principle of counting, the number of different snowmen she can make = (Choices for hats) x (Choices for scarves) x (Choices for nose)

= 3 x 8 x 3

= 72

Hence, the number of different snowmen she can make  = 72

Answer:

-30

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

12 divided by 30 will give you 0.4

Answer:

Linear

Step-by-step explanation:

Answer:

The original height of the tree is 18 m.

Step-by-step explanation:

Please see attached photo for explanation.

From the diagram, we shall determine the value of 'x'. This can be obtained by using the pythagoras theory as follow:

x² = 5² + 12²

x² = 25 + 144

x² = 169

Take the square root of both side

x = √169

x = 13 m

Finally, we shall determine the original height of the tree. This can be obtained as follow.

From the question given above, the tree was broken from a height of 5 m from the ground which form a right angle triangle with x being the Hypothenus as illustrated in the diagram.

Thus, the original height of the will be the sum of 5 and x i.e

Height = 5 + x

x = 13 m

Height = 5 + 13

Height = 18 m

Therefore, the original height of the tree is 18 m.

The required similarity ratio for the given triangle is given as 1/3, and option B is correct.

Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.

Here,
Consider the triangles ABC to PQR,
Taking the ratio of the corresponding sides,
AB/PQ = BC /QR = AC/PR
2 / 6 = 2/6 = 1/3
1/3 = 1/3 = 1/3

Thus, the required similarity ratio for the given triangle is given as 1/3, and option B is correct.

Learn more about similar triangles here:

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Answer:

0.46 pounds of honey

Step-by-step explanation:

0.58 - 0.12 = 0.46

thanks fr the points