Jonathan’s parents told him that for 5 every hours of homework or reading he completes, he would be able to play
3 hours of video games. His friend Lucas’s parents told their son that he could play 30 minutes for every hour of
homework or reading time he completes. If both boys spend the same amount of time on homework and reading
this week, which boy gets more time playing video games? How do you know?

Answer:

D=10

Step-by-step explanation:

38=3d -(-8)

38=3d+8

38-8=3d+(8-8)

30=3d

30/3=3d/3

10=d

=3d+

Answer:

The length is 35cm and the area is 1050cm^2

Step-by-step explanation:

The perimeter of a rectangle is all of the side lengths added together. "Breadth" is your width. So 2 x 30 + 2 x some length is your perimeter. Mathematically this can be represented as:

[tex]60+ 2x=130[/tex]

[tex]2x=70[/tex]

[tex]x=35[/tex]

For the area multiply 30 by 35

[tex]30*35=1050[/tex]

And your answer for the area is in cm^2

Answer:

True

Step-by-step explanation:

I hope this helps!

Answer:

2 years

Step-by-step explanation:

This is simple interest:  i = p*r*t, where p is the principal, r is the annual interest rate as a decimal fraction and t is the number of years.  Here:

i = $195.00 = ($650.00)(0.15)t, or

        $195.00

t = ------------------------  =  2 years

     (0.15)($650.00)

Answer:

4/25

Step-by-step explanation:

Answer:

-0.28

Step-by-step explanation:

(-6)-(-8)=2.

7-14=-7

2/-7=-0.28

Answer:

10$

Step-by-step explanation:

just because

Answer:

$10

Step-by-step explanation:

What we know: you want to pay for 5 order of chicken nuggets.

Each order is $2

So...

5 orders of nuggies × $2

Total: $10 for nuggies

Answer:

Did you insert a picture because I cant see one

Answer:

135 meters

Step-by-step explanation:

Answer:

42.06cm²

Step-by-step explanation:

Answer:

42.06cm²

Step-by-step explanation:

I can't find the tape diagram from my work but I know is  42.06cm²

Thank you

Answer:

52 feet long. i think... you might wany to double check that

Answer:

True

Step-by-step explanation:

Answer:

F

Step-by-step explanation: c=0.10m+30

Plzz give me brainliest

La sucesión es geométrica ya que cada término se obtiene multiplicando el anterior por una cantidad constante (llamada razón), en este caso 1/2

1  *  1/2 = 1/2

1/2 *  1/2 = 1/4

1/4 *  1/2 = 1/8

aₙ = a₁ * r ⁿ⁻¹

Donde

aₙ es un término dentro de fórmula general

a₁ es el primer término

r es la razón de la sucesión

n es el índice del término

Con la fórmula podemos obtener los términos que faltan

Término 5

a₅ = 1 * 1/2 ⁵⁻¹

a₅ = 1 * 1/2 ⁴

a₅ = 1 * 1/16

a₅ = 1/16        ======> término 5

Término 8

a₈ = 1 * 1/2 ⁸⁻¹

a₈ = 1 * 1/2 ⁷

a₈ = 1 * 1/128

a₈ = 1/128      =========> término 8

Término 9

a₉ = 1 * 1/2 ⁹⁻¹

a₉ = 1 * 1/2 ⁸

a₉ = 1 * 1/256

a₉ = 1/256  =======> término 9

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Answer:

[tex]-\sqrt2[/tex]

Step-by-step explanation:

csc 225 degrees is the multiplicative inverse of sin 225 degrees. sin 225 degrees. We can use a unit circle with radius of 1 to find out sin 225 degrees. a 225 degree rotation counter clockwise is equivalent to a 180 degree turn followed by a 45 degree turn. Therefore, the final value is going to be in the third quadrant, a 45 degree turn in. This means that sin(225 degrees) = [tex]-\sqrt2/2[/tex] The multiplicative inverse of that is [tex]-\sqrt2[/tex]

Answer:

1

Step-by-step explanation:

Anything to the power of 0 is 1

Hope I helped :)

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Answer:

The distance from A(-1/4, 5) to the line -x + 2·y = 14 is approximately 1.7 units

Step-by-step explanation:

The shortest distance from a point to a line is the perpendicular from the line to the point

The equation of the given line is -x + 2·y = 14, which can be written in slope and intercept form as follows;

-x + 2·y = 14

2·y = 14 + x

y = 14/2 + x/2 = x/2 + 7

y = x/2 + 7

The slope, m₁ = 1/2 and the y-intercept = 7

Therefore, the slope, m₂, of the perpendicular line to the line -x + 2·y = 14 which was rewritten as y = x/2 + 7 is m₂ = -1/m₁ = -1/(1/2) = -2

Therefore, we have that the slope of the line from A(-1/4, 5) to the line -x + 2·y = 14, is -2

The equation of the line is therefore;

y - 5 = -2(x - (-1/4))

y - 5 = -2·x - 1/2

y = -2·x - 1/2 + 5 = -2·x + 9/2

y = -2·x + 9/2

The coordinates of the point on the line -x + 2·y = 14 (y = x/2 + 7) that coincides with the perpendicular from the point A(-1/4, 5) is therefore given as follows;

-2·x + 9/2 = x/2 + 7

9/2 - 7= x/2 + 2·x

-2.5 = 2.5·x

x = -2.5/2.5 = -1

x = -1

y = x/2 + 7 = -1/2 + 7 = 6.5

y = 6.5

The coordinates of the point on the line -x + 2·y = 14 (y = x/2 + 7) that coincides with the perpendicular from the point A(-1/4, 5) is (-1, 6.5)

The distance from A(-1/4, 5) to B(-1, 6.5), is given as follows;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

Where;

(x₁, y₁) = (-1/4, 5), and (x₂, y₂) = B(-1, 6.5)

Plugging in the values, we have;

[tex]l_{AB} = \sqrt{\left (6.5-5 \right )^{2}+\left ((-1)-(-1/4) \right )^{2}} = \sqrt{\left (-0.75 \right )^{2}+\left (1.5 \right )^{2}} = \sqrt{\dfrac{45}{16} } = \dfrac{3}{4} \cdot \sqrt{5}[/tex]

[tex]l_{AB} = \dfrac{3}{4} \cdot \sqrt{5} \approx 1.677[/tex]

Therefore, the distance from A(-1/4, 5) to the line -x + 2·y = 14 ≈ 1.7 units, rounding to the nearest tenth.

Answer:

Step-by-step explanation: no work shown?

Answer:

-72

Step-by-step explanation:

-32+(2-6)(10)

-32+(-4)(10)

-32+(-40)

-72

Answer:

its -49

Step-by-step explanation:

i got it right on edge 2021

Answer:31

Step-by-step explanation:

k(10)=-3(10)+1

10k=31

k=3.1

3.1(10) =31

Answer:

-2

Step-by-step explanation:

Answer:

The image of the point (0, -6) under the same translation is (-6, -12)

Step-by-step explanation:

Let us revise the rules of translation

∵ The coordinate of point P are (3, 8)

∵ The coordinates of its image P' are (-3, 2)

→ The x-coordinate is changed from 3 to -3, that means the point

   translated to the left by h units

∵ h = -3 - 3

∴ h = -6

→ The y-coordinate is changed from 8 to 2, that means the point

   translated down by k units

∵ k = 2 - 8

∴ k = -6

→ By using the rule above

∴ The rule of translation is (x, y) → (x - 6, y - 6)

∵ The coordinates of the point are (0, -6)

∴ The coordinates of its image are (0 - 6, -6 - 6)

∴ The coordinates of its image are (-6, -12)

Answer:

The answer is below

Step-by-step explanation:

A linear equation is represented by the equation y = mx + b, where m is the rate of change, b is the value of y at x = 0, y is a dependent variable and x is an independent variable.

a) Given that number of chirps per minute, C is dependent on the temperature, T, when T = 45 degrees, C = 0, this can be represented as (45, 0).

Also at 75 degrees, C = 126 it can be represented as (75, 126).

Using (45, 0) and (75, 126), we can determine the equation of the line from:

[tex]C-C_1=\frac{C_2-C_1}{T_2-T_1}(T-T_1)\\ \\C-0=\frac{126-0}{75-45}(T-45)\\ \\C=4.2(T-45)\\\\C=4.2T-189\\\\[/tex]

b) At t = 90°:

C = 4.2(90) - 189

C = 189 chirps per min

a. The expression of the number of chirps should be C =  4.2T - 189

b. The number of chirps per minute should be 189 chirps per min.

Since The crickets do not chirp at all at 45 degrees and at 75 degrees they chirp about 126 times per minute.

So, here we used (45, 0) and (75, 126), we can measure the equation of the line from

[tex]C- C_1 = \frac{C_2-C_1}{T_2-T_1} (T_2 - T_1)\\\\C- 0 = \frac{126-0}{75-45} (T - 45)\\\\[/tex]

C = 4.2(T - 45)

C = 4.2T - 189

b. When T = 90 degrees

So,

C = 4.2(90) - 189

= 189 chirps

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Answer:

20.6

Step-by-step explanation:

20.5664 = 20.6

Answer:

20.6 cm

Step-by-step explanation:

First find the circumference of a semicircle with diameter 8 cm

C = 1/2 ( pi d)

C = 1/2 ( 3.14 * 8)

C = 12.56cm

Then add the diameter to close the circle

12.56+8 = 20.56 cm

Round to 1 decimal place

20.6 cm

Answer:

angle four is vertical to angle 2

Answer:

angle 2 is vertical to angle 4

Answer:

Repeating.    

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

graphing substitution and elimination

Answer:

Slope W is 1/4, Slope Z is -4, Slope X is 1/4, Slope Y is -4

Step-by-step explanation: just did on edg and got it right

Answer:

3

Step-by-step explanation:

-33+9=-24

-24+9=-15

-15+9=-6

-6+9=3

Answer:

3, 12, 21

Step-by-step explanation:

-33+9=-24

-24+9=-15

-15+9=-6

-6+9=3

3+9=12

12+9=21