Jon and Kristen are both increasing the number of minutes they jog each day, as shown in the tables.

Jon
Day Minutes
0 15
1 17
2 19
3 21
Kristen
Day Minutes
0 22
1 23
2 24
3 25

Which system of linear equations could be used to determine which day they will jog for the same number of minutes, where d represents the day and m represents the number of minutes?

Answer:

B. 7y - 15

Step-by-step explanation:

Simplifying

10y + -3(y + 5) = 0

Reorder the terms:

10y + -3(5 + y) = 0

10y + (5 * -3 + y * -3) = 0

10y + (-15 + -3y) = 0

Reorder the terms:

-15 + 10y + -3y = 0

Combine like terms: 10y + -3y = 7y

-15 + 7y = 0

Solving

-15 + 7y = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + 7y = 0 + 15

Combine like terms: -15 + 15 = 0

0 + 7y = 0 + 15

7y = 0 + 15

Combine like terms: 0 + 15 = 15

7y = 15

Divide each side by '7'.

y = 2.142857143

Simplifying

y = 2.142857143

Answer:

b. 7y-15

Step-by-step explanation:

First, write out the expression

1. [tex]10y-3(y+5)[/tex]

To simplify the expression distribute the -3 to the terms within the paratheses.

2. [tex]10y-3y-15[/tex]

Then, combine like terms to simplify further. Since 10y and -3y are like terms they can be subtracted

3. [tex]7y-15[/tex]

This means that B is the correct answer.

Answer:

18

Step-by-step explanation:

f(x)=x^2+2

g(x)=1–3x

f(g(-1))

First find g(-1) = 1-3(-1) = 1 +3 = 4

Then find f(4) = 4^2 +2 = 16+2 = 18

f(g(-1)) = 18

(a) Let x = 3.12333…. Then 100x = 312.333… and 1000x = 3123.333…, so that

1000x - 100x = 3123.333… - 312.333…

==>   900x = 2811

==>   x = 2811/900 = 937/300

(b) x = 4.38555…   ==>   100x = 438.555… and 1000x = 4385.555…

==>   900x = 3947

==>   x = 3947/900

(c) x = 37.222…   ==>   10x = 372.222…

==>   9x = 335

==>   x = 335/9

(d) x = 16.292929…   ==>   100x = 1629.292929…

==>   99x = 1613

==>   x = 1613/99

(e) x = 2.333…   ==>   10x = 23.333…

==>   9x = 21

==>   x = 21/9 = 7/3

Answer:

224 more flowers

Step-by-step explanation:

If the planner wants the ratio of flowers to shrubs to be 12:1, that means there will be 12 times as many flowers as shrubs.

Find what 12 times the number of shrubs is:

24(12)

= 288

So, the planner will need 288 flowers in total.

Find how many more he needs to plant by subtracting the current amount of flowers from 288:

288 - 64

= 224

So, the garden planner will need 224 more flowers.

Answer:

49•5

Step-by-step explanation:

A= hb×b÷2

given

hb=height=9

b=base=11

The area of the triangle will be 49.5 square units. Then the correct option is A.

Assume 'h' is the height of the triangle and 'b' be the base of the triangle. Then the area of the triangle is given as,

A = (1/2) × h·b

The height of the triangle is 9 units and the base of the triangle is 11 units. Then the area of the triangle is calculated as,

A = 1/2 x 11 x 9

A = 11 x 4.5

A = 49.5 square units

The area of the triangle will be 49.5 square units. Then the correct option is A.

More about the area of the triangle link is given below.

https://brainly.com/question/19305981

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Answer:

Step-by-step explanation:

757 minutes = 12 hours 37 minutes

Answer:

The 6th term is 3072.

Step-by-step explanation:

Answer:

b. never

Explanation:

A fraction is always in the form p/q, where q is not 0; or can be converted in that form (in case of mixed fraction).

A number is said to be irrational, if it cannot be expressed in the form p/q, where q is not 0.

Answer:

she can sit

Step-by-step explanation:

Answer:

Step-by-step explanation:

12

Answer:

it should be the third option

Step-by-step explanation:

I hope this help

Answer: x=5, y=-1

Hope this helps

Answer:

B

Step-by-step explanation:

f(x) maxmum value is

[tex] \frac{ - 4}{ - 4} = 1[/tex]

[tex] - 2( {1}^{2} ) + 4(1) + 3 =

5[/tex]

G(x) minimum value is 6.

B is the answer.

Answer:

240 ft^2

Step-by-step explanation:

The rectangular prism has 6 faces. Each two opposite faces have the same area. We need to find the areas of 3 faces that are not opposite faces, add them, and then multiply by two.

Top face:

7 ft by 6 ft

area = LW = 7 ft * 6 ft = 42 ft^2

Right face:

7 ft by 6 ft

area = LW = 7 ft * 6 ft = 42 ft^2

Front face:

6 ft by 6 ft

area = LW = 6 ft * 6 ft = 36 ft^2

Sum of areas of 3 faces:

42 ft^2 + 42 ft^2 + 36 ft^2 = 120 ft^2

Now we double the area to account for the 3 faces that are opposite each one of the three faces whose areas we calculated.

2 * 120 ft^2 = 240 ft^2

Answer: 240 ft^2

Answer:

x-intercepts = (x ≈ -0.87), (x ≈ 6.87)

Step-by-step explanation:

let x = 0, in equation for x-intercepts

solve for x using the

quadratic formula

x = −6 ± √ 36 + 24

               2x

= −6 ± √60

         −2x

 = −6 ± 2 √ 15

           −2           = 3 ± √15

Step-by-step explanation:

CP of 50 glasses is given 1500 so,

CP of one glass is 1550÷50 it mean the cost price of one glass is 30

now it have your question has said 4 glasses with broken so ,

1500-120

1380

he sold each glasses at the cp of 35 so,

46×35

1610

now,

profit =SP-CP

1610-1500

=110

Actual profit is 110 and profit percent =actual profit/CP ×100

110/1500×100

=7.3333%

Answer:

282.7 mi^2

Step-by-step explanation:

Surface area of cone=pi*r*(r+l)=pi*5*18=282.7

9514 1404 393

Answer:

Step-by-step explanation:

The GCF can be no larger than the difference between the numbers. That would be the first value you want to check to see if it is a factor of the numbers.

The difference is 10, which is a factor of both 40 and 50.

  GCF(40, 50) = 10

__

You can figure the GCF pairwise, as GCF(14, 56) = 14; then GCF(14, 63) = 7. Or, you can look at the smallest difference between any pair of numbers. Here, that is 63 -56 = 7, which is a factor of all three numbers.

  GCF(14, 56, 63) = 7

_____

Additional comment

Euclid's algorithm has you compute the remainder from division of the largest by the smallest. When that remainder is non-zero, it replaces the largest, and you repeat. When the remainder is zero, the smallest is the GCF.

For example, let's look at the GCF of 14 and 63.

  63/14 = 4 r 7

  14/7 = 2 r 0 . . . . . 7 is the divisor, so is the greatest common factor

Answer:

a

Step-by-step explanation:

an even function is symmetrical about the y- axis

This graph has symmetry about the y- axis and so is Even

Answer:

The x-coordinate is –4

The y-coordinate is –1

The point is in the quadrant Third quarter ( 3 )

I hope I helped you^_^

Answer:

None of the Above are correct

Answer:

80

Step-by-step explanation:

since a=40

40x2 is 80

The value of x is 80 which is the correct answer would be an option (B)

Angles of intersecting secants theorem states that, If two lines intersect outside a circle, then the measure of an angle formed by the two lines is one-half the positive difference of the measures of the intercepted arcs.

Given that angle ∠a = 40°

∠x = 2∠a

Substitute the value of ∠a = 40°

∠x = 40×2

∠x = 80°

Hence, the value of x is 80 degree

Learn more about the Angles of intersecting secants here:

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Answer:

a + b =1

Step-by-step explanation:

Write the given quadratic as x^2 – 1x – 90 = 0.  This factors into

(x - 10)(x + 9) = 0, and so the roots/solutions are {-9, 10}.

If we call -9 "a" and 10 "b," then the sum a + b is -9 + 10, or a + b =1.

Answer:

C

Step-by-step explanation:

The function C has a range of (-infinity, a] and domain [b, infinity)

Answer:

the fourth option (A and B are the same distance from the origin)

Step-by-step explanation:

since B is the result of a rotation of A around the origin, they are both on the same circle (center point is the origin). so, they have both the same distance (the radius of the circle) from the center of the circle, which is the origin.

the third option is tempting, as the rotation was 90 degrees, but it was clockwise !

On the last option, since you can substitute y=3x+1 into the other equations to solve for x.

Answer:

1.4142135

Step-by-step explanation: