I need help on question 7 :)

Answer:

Amanda will catch up Ben after 0.6 hours.

Step-by-step explanation:

Amanda begins jogging along the same path at 7 mi/h.

This means that Amanda's position, after t hours, is given by:

[tex]A(t) = 7t[/tex]

Ben starts walking along a path at 2 mi/h.

Amanda leaves after one and a half hour, which means that Ben will be at position 2*1.5 = 3. So Ben's position after t hours is given by:

[tex]B(t) = 3 + 2t[/tex]

How long (in hours) will it be before Amanda catches up to Ben?

This will happen when:

[tex]A(t) = B(t)[/tex]

So

[tex]7t = 3 + 2t[/tex]

[tex]5t = 3[/tex]

[tex]t = \frac{3}{5}[/tex]

[tex]t = 0.6[/tex]

Amanda will catch up Ben after 0.6 hours.

It would take Amanda 0.6 hours or 6/10 hours to catch up with Ben.

This question comes from a topic in mathematics called rates and it's used to compare two values with each other and how one value affects the other value.

Let s represent the distance Amanda travels until she meet Ben.

We can set a timer on our phone when she leaves in order to track the time taken.

Let t represent the time taken.

We can come up with two equations from these scenario

Substitute equation (ii) into equation (i)

[tex]7t -3 =2t[/tex]

collect like terms

[tex]7t-2t=3\\5t=3\\t=3/5\\t=0.6[/tex]

From the above, we can see it took her 0.6 hours to catch up with Ben.

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Answer:

Step-by-step explanation:

define a,b

therefore

the system of linear equation has only one solution

Answer:

Step-by-step explanation:

x1 / y1    times x2 / y2       where are two fractions

x1/y1 times x2/y2   = x1 times x2 / y1 times y2   = z1 / z2    z is a new fraction

fractions multiply like regular wholes number, which can also be represented in fractional form

Examples:

2/1   times 3/1 = 2x3 /1x1   6/1

10/2 x 18/3 = 180/6     now look at 10/2 = 5     18/3 = 6    5x6 =  30    

  5  x    6    = 30

Now apply to your fractions:

3/7 x 4/5   =   3x4 / 7x5    

12/35  

Answer:

0.1714285714285714

Step-by-step explanation:

Answer:

0.15 or 20/132 or 5/33 or 15%

Step-by-step explanation:

5/12 is the probability for the first red candy.

The question says "without replacement" meaning that if one candy is picked it will NOT be picked again and it will not go back to the original bowl. The second red candy is 4/11 (one red candy was already taken out from the first event). Multiply 5/12 and 4/11 to get 20/132. That is simplified to be 5/33 but if you divide it will 0.15 and as a percent it would be 15%.

Answer:

5/7

Step-by-step explanation:

5/7

It is always good to double-check your math to make sure you did it right. When I entered 4/7 for x in this equation x / (4/5) = (5/7), we get the following true equation which means the math is correct.

(4/7) / (4/5) = (5/7)

Answer: 1) y= 9, 4, 1, 0, 1, 4, 9

Step-by-step explanation:

Answer:

y=3(x+3)^2-8

Step-by-step explanation:

Vertex form:

y=a(x-h)^2+k

h=-3, k=-8

y=a(x+3)^2-8

sub (-4,-5)

-5=a(-4+3)^2-8

a=3

y=3(x+3)^2-8

Answer: The value of (f+g)(2) = -1

Step-by-step explanation:

Given: f(2)=-14 and g(2)=13

To find: (f+g)(2)

Addition of two functions:

(f+g)(x) = f(x)+g(x)

Then, (f+g)(2) = f(2)+g(2)

(f+g)(2)  = -14+13  [given]

(f+g)(2)  = -1

Therefore , the value of (f+g)(2) = -1

Answer:

The 2nd and 3rd boxes are right, that is :-

* 2b is a term

and

* 9 is a constant

Answer:

3.46

Step-by-step explanation:

Answer:

86 - 9 = 77

Step-by-step explanation:

Answer:

10 square units.

Step-by-step explanation:

Remark

No matter how weird it looks, the figure is a trapezoid. It has 2 parallel lines.

The height has 2 right angles, one at each end.

Givens

b1 = 2

b2 = 8

h = 2

Formula

Area = 1/2 * (b1 + b2 ) * h

Solution

Area = 1/2 * (2 + 4 + 2 + 2) * 2    Be sure you understand where all those 2s came from.

Area = 10 square units

Answer:

There are no solutions.

Answer:

The dependent variable is the shoe size

Step-by-step explanation:

If Laurie had 8 times as many apples as Bill's 40 apples, the equation would be 40 x 8. 40 x 8 = 320 :)

Answer:

320man zaans

Step-by-step explanation:

Answer:

C The diameter of circle P is the same length as the radius of circle Q.

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

The expression is for the interior angle of the hexagon; one interior angle is equal to .

Since an interior angle of a hexagon measures 120°, we have the equality

.

Now it is just a matter of solving for  

11x=120-21

11x=99

x=99/11

x=9

The value of {x} for the hexagon shown is 9.

A hexagon is a polygon with 6 equal sides. The perimeter of a hexagon is the sum of all the six lengths. The measure of the interior angle of a hexagon is 120 degrees.

Given is to find the value of {x} in the Hexagon shown below.

The measure of the internal angle of a hexagon is 120 degrees. So, we can write -

(11x + 21) = 120

11x = 120 - 21

11x = 99

x = 9

Therefore, the value of {x} for the hexagon shown is 9.

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Answer:B

Step-by-step explanation:

The amount you need to pay a contractor to repair the damage to the pool cage should be considered as the option b $9,500

Since the amount of $9,500 should be considered as the worth of damage to your pool cage.

Also there are other charges like premium, deductible amount, pocket maximum amount, etc.

So based on the payment only $9,500 should be conisdered.

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Answer for 1:

8x + 10

Answer for 2:

2x + 1

Answer for 3:

-3x - 15

Answer for 4:

2x + 10

Answer for 5:

-3x - 5

Answer for 6:

-17x - 3

Answer for 7:

8x - 18

Answer for 8:

-x + 4

Answer for 9:

4.8x + 5.6

Answer for 10:

1.25x + 1

Answer for 11:

The Dolphins won 7x + 10 more points than the Jaguars

Answer for 12:

The sandwich costs x + 1.01 more than the drink

Answer for 13:

Tuition costs 7x + 25 more than fees

Tuition costs 7x + 72 more than rooms and board

Answer:

1. 9x squared + 34x +21

2. 2x + 1

3. -3x + 15

4. 2x + 10

5. 14x + 3

6. -17x - 3

7. 8x- 18

8. -x + 4

9. -4.8x + 5.6

10. -1.25x + 0.2

11. 7x-4

12. x + 1.01

13. 6x + 22

I think these are the correct answers. Sorry if I'm wrong. I hope this helped!

Step-by-step explanation:

Answer:

She should buy one that accords to her budget and her needs

Answer:

the answer is the x-intercepts are about(0,-6) and (0,2) hope this helps

Step-by-step explanation:

Answer:

second choice

Step-by-step explanation:

edge

The region outside the circle is under the consideration. Then the correct option is B.

A circle can be characterized by its center's location and its radius's length.

Let the center of the considered circle be at the (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x – h)² + (y – k)² = r²

The inequality equation of the graph is given below.

(x – 3)² + (y + 4)² > 36

(x – 3)² + (y + 4)² > 6²

From the equation, the radius of the circle will be 6 units and the center of the circle will be (3, –4).

The region outside the circle is under the consideration.

Then the correct option is B.

The graph is given below.

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9514 1404 393

Answer:

  62°

Step-by-step explanation:

Angles A and H are alternate exterior angles, so are congruent.

  ∠H = 62°

Answer:

9.42477796 ≈ 9.4

Step-by-step explanation:

Ao= π*r

    = π*(6/2)

    =π*3= 9.42477796 ≈ 9.4

Answer: A. The amplitude is 3.

Step-by-step explanation:

Given function : [tex]f(x) = -3sin(x) + 2[/tex]

Period of a sine function is [tex]2\pi.[/tex]

Since [tex]-1\leq \sin x \leq 1[/tex]

[tex]\Rightarrow\ -3\leq -3\sin x\leq 3\\\\\Rightarrow\ -3+2\leq -3\sin x+2\leq 3+2\\\\\Rightarrow\ -1\leq -3\sin x+2\leq 5[/tex]

i.e. Range is [-1,5]

Amplitude = 3 [coefficient of sin x]

Only option A. is correct.

Answer:

1.25

Step-by-step explanation:

5/9 divided by 4/9 is 1.25

The next term of the sequence is 14.

A sequence in mathematics is a ordered set of objects or numbers which are related with something.

For example, 1, 3, 5, ..... is a sequence of odd numbers.

Given that,

The term-to-term rule for a sequence is " Add 1 and then double"

First term = 2

Second term = 6

6 is got by adding 1 to 2 and then doubling it.

2 + 1 = 3

3 × 2 = 6

In the same way,

Third term = (6 + 1)2 = 7 × 2 = 14

Hence the next term of the sequence is 14.

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