Kathleen cycled a total of 18 kilometers by making 9 trips to work. After 21 trips to work, how many kilometers will Kathleen have cycled in total?

Answer:

1400

Step-by-step explanation:

2/5×1000=400

1000+400=1400

Step-by-step explanation:

Let the new quantity be x.

x:1000=2:5

x/1000=2/5

(multiply both side by 1000)

[tex]1000 \times \frac{x}{1000} = 1000 \times \frac{2}{5} [/tex]

[tex]x = 400[/tex]

Comparing the numbers, it is found that the tenths value first determines which of the numbers 6.399 or 6.400 is the larger number.

The decimal numbers are 6.399 and 6.400.

The tenths digit is the first in which there is a difference, hence, it determines which of the numbers 6.399 or 6.400 is the larger number.

A similar problem is given at https://brainly.com/question/17248958

Answer:

49x^4-70x^3+319x^2-420x+150, first option

Step-by-step explanation:

Just do (7x^3-5x^2+42x-30) times (7x-5)

and you will get 49x^4-35x^3-35x^3+25x^2+294x^2-210x-210x+150.

All this would simplify to the first option.

49x^4 - 35x^3 - 35x^3 + 25x^2 + 294x^2 - 210x - 210x + 150

= 49x^4 - 70x^3 + 319x^2 - 420x + 150

ANSwer: The first one.

Answer:

he would end up with 25 good games left

Answer: the answer is 31!

Step-by-step explanation: add 6 plus 50 to get 56 then subtract 25 to get 31!

Let's see

[tex]\\ \rm\rightarrowtail x=0.444\dots[/tex]

[tex]\\ \rm\rightarrowtail 10x=4.44\dots[/tex]

From both

Answer: linear

Step-by-step explanation:

Answer:

J' (- 10, - 8 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

J (10, - 8 ) → J' (- 10, - 8 )

Answer:

(-10, -8)

Step-by-step explanation:

The rule for a reflection over the y -axis is (x, y)→(−x, y) .

so J(10, -8) becomes J'(-10, -8)

Answer:

The coordinate proof is a proof of a geometric theorem which uses ... and/or y -axis until it does.) To Prove: ¯XY is parallel to ¯PR and. XY=12PR. Proof:.

Answer:

B 13/2

Step-by-step explanation:

2x² + 7x - 15 = 0

First we want to find the two solutions

We can do this by using the quadratic formula

Quadratic formula:

[tex] \frac{- b + or - \sqrt{b {}^{2} - 4(a)(c)} }{2(a)} [/tex]

Where the values of a,b and c are derived from the equation.

The equation is put in ax² + bx + c = 0 form

2x² + 7x - 15 = 0

so a = 2, b = 7 and c = - 15

We now plug these values into the quadratic formula

(-(7) + or - √7² - 4(2)(-15) ) / 2(2)

first solution: -(7) + √7² - 4(2)(-15) ) / 2(2)

remove parenthesis on 7

(-7 + √7² - 4(2)(-15) ) /2(2)

Apply exponents 7²

(-7 + √49 - 4(2)(-15) ) /2(2)

Multiply -4,2 and -15

(-7 + √49 + 120 ) / 2(2)

add 49 and 120

(-7 + √ 169 ) / 2(2)

Take square root of 169

(-7 + 13 ) / 2(2)

add 13 and -7

6/2(2)

multiply 2 and 2

= 6/4

The first solution is 6/4 or 1.5

Now the second solution: -(7) - √7² - 4(2)(-15) ) / 2(2)

For the second solution we basically go through the same steps as for finding the first solution, the only difference is instead of adding -b and √b² - 4(a)(c) we are subtracting.

So we would have ( -7 - 13 ) / 2(2) instead of (-7+13)/2(2)

So second solution: ( -7 - 13 ) / 2(2)

subtract 13 from -7

-20/2(2)

multiply 2 and 2

-20/4

divide

The second solution is -5

Now that we have found the solutions we want to find r - s if r and s are the solutions to the equation and that r > s

The two solutions are 6/4 and -5.

6/4 > -5 so we know that r must equal 6/4 and s must equal -5 because r has to be greater than s

So if r = 6/4 and s = -5

Then r - s = 6/4 - (-5) = 6/4 + 5 = 13/2

So the answer is B. 13/2

1) 300 squared cm

2) 105 squared cm

3) about 165.75 squared cm

4) about 211.4 squared cm

Answer:

Raul

Step-by-step explanation:

Since 8 groups of building blocks has a smaller amount than 6 equal groups of building blocks, so Raul has more blocks in each group

Answer:

64,000 (2 s.f)

Step-by-step explanation:

1 km is 1000 metres

so, 1 km² = 1000 x 1000 m²

i.e. 1 km² = 1,000,000 m²

=> 63,800,000,000/1,000,000 = 63,800

The second significant figure is 3 --> 3000

so, to the nearest 1000 we have 64,000 (2 s.f)

Hope it help and if it is correct please give brainliest

Thank You

Answer:

Graphs shown below.

4.) x-intercept: (3,0)  y-intercept: (0,-2)  slope: 2/3

5.) x-intercept: none  y-intercept: (0,4.5)  slope:0

6.) x-intercept: (3,0) and (-1,0)  y-intercept: (0,-1)   slope: none

#4 is blue graph, #5 is green graph, #6 is red graph

Step-by-step explanation:

** #4 is blue graph, #5 is green graph, #6 is red graph **

Answer:

[tex]y = \frac{-8}{3}x - 8[/tex]

Step-by-step explanation:

Solving for the equation of the line with two points:

Let's remind ourself of the slope - intercept formula:    [tex]y = mx + b[/tex]

We first have to find the slope of the line. This is found by using the formula :

[tex]\frac{y_1 - y_2}{x_1 - x_2}[/tex]

We have to find the change in y (Δy) and divide it by the change in x (Δx)

We then have to plug in a coordinate given to us, and use the point's x and y value to find the y - intercept

Let's use the slope formula

[tex]\frac{0 - (-8)}{-3 - 0} = \frac{8}{-3}[/tex]

Slope = -8/3

To find the y - intercept, we'll update our slope - intercept formula with the slope, and plugin a point. Let's use (-3,0)

[tex]y = \frac{-8}{3}x + b[/tex]

[tex]0 = \frac{-8}{3}(-3) + b[/tex]

[tex]0 = \frac{24}{3} + b[/tex]

[tex]0 = 8 + b[/tex]

[tex]b = -8[/tex]

Let's input our slope and y - intercept to the equation     [tex]y = mx + b[/tex]

Slope = -8/3

Y - Intercept = -8

Equation:    [tex]y = \frac{-8}{3}x - 8[/tex]

-Chetan K

Answer:

(x^2 + 4)(x - 3).

Step-by-step explanation:

I'm guessing you want to factor this.

You can do it by grouping:

x^3 - 3x^2 + 4x - 12

= x^2(x - 3) + 4(x - 3)

= (x^2 + 4)(x - 3).

Step-by-step explanation:

y=55°(corresponding angles are equal)

x=55°(alternate angles are equal).

z+55°=180°

=180-55=z

z=125°

Answer:

x = y = z = 55°

Step-by-step explanation:

x = 55° (vertical angles)

y = 55° (corresponding angles)

z = 55° (corresponding with x -> z = x)

Answer:

Place the index and middle fingers on the neck to the side of the windpipe to find the pulse.

Place two fingers between the bone and the tendon over the radial artery of the wrist to find the pulse.

Step-by-step explanation:

I did a test and that was a correct answer.

Answer:

running speed is horse power

so up with horse

it will tell its power

go and denge it

so you will get your answer by this process

Answer:

Below.

Step-by-step explanation:

Using PRT/100 = I, we can prove that x = 8.

=> 1000 x 0.65 x 8/100

=> 10 x 0.65 x 8

=> 6.5 x 8

=> £52

Unfortunately, something is wrong with the question. Please re-check the question to make sure it is right. I have tripled checked my answer and it is right.

Answer:

35/72

Step-by-step explanation:

- BRAINLIEST ANSWERER

Answer:

A. True

B. True

C. False

D. True

E. False

Step-by-step explanation:

A. True, you cannot get higher than 100 on this test , as you cannot get a negative amount of questions wrongs

B. True, as y = f(x)

C. False, as there is no exponents

D. True, as if x=1, you lose 2 points

E. False, as x is the number of wrong problems

Step-by-step explanation:

Diagram 1

Diagram 2

Diagram 3

Diagram 4

Answer:

350L 375ML

Step-by-step explanation:

Answer:

16093

Step-by-step explanation:

I hope this helps!

Answer:

Your answer is 6,960,212.797357.

End of Answer

Step-by-step explanation:

(19.093 * 10)^3 OR

19.093 * 10 = 190.93

190.93^3 = 6,960,212.797357

End of Step-by-step explanation

Edit: I'm probably wrong this is the actual answer: 16093

Answer:

Its AD||CD

Step-by-step explanation:

Answer:

A, B, D are correct

Step-by-step explanation:

A. 32 divided by 1 = 32

Works, it is correct

B. 32 divided by 2 = 16

Works, it is correct

C. 32 divided by 3 = 12

Incorrect, 12 x 3 = 36, not 32

D. 32 divided by 8 = 4

Works, it is correct

-Chetan K