Darron bought a new PS5. He made a down payment of $300, and he will pay $50 each month until the phone is paid off. Which equation represents the relationship between x, the number of monthly payments Darron has made, and y, the total amount he has paid?
A. y= 50x + 300

B. y= -50x + 300

C. x= 50y + 300

D. y= 50x – 300

Answer:

x=6

Step-by-step explanation:

24=4x

divide both by 4

equals 6

Answer:

to find x we have to find the similarly between the smaller and the larger triangle

the two triangle are similar by side angle side(SAS) similarly therom.

we have to see carefully that the two triangle are similar but not congruent.

Step-by-step explanation:

so the bigger triangle is twice big as the smaller.

so 24/4x =2

8x=24

x=24/8

x=3

Answer:

[tex]x_1=5,\\x_2=2[/tex]

Step-by-step explanation:

Problem 1:

The angles [tex]\angle 3[/tex] and [tex]\angle 7[/tex] are corresponding, and thus are equal to each other. We can then set up the following equation:

[tex]5x+2=27,\\5x=25,\\x=\fbox{$5$}[/tex].

Problem 2:

The angles [tex]\angle 6[/tex] and [tex]\angle 4[/tex] are supplementary, meaning they add up to [tex]180^{\circ}[/tex]. Therefore, we have the following equation:

[tex]18x+144=180,\\18x+36,\\x=\fbox{$2$}[/tex].

Answer:

1st answer is 5°

Step-by-step explanation:

Z3 = Z7

or, 5x + 2 = 27°

or, 5x = 25°

or, x = 5°

:-))

Answer:

(-9,5) or x = -9 and y = 5

Step-by-step explanation:

Hope this helps!

Answer:

108.16

Step-by-step explanation:

Answer:

30 degrees

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

30

Step-by-step explanation:

Step-by-step explanation:

10y+x=-100

10y= -100 - x

y= -100 - x/ 10

y= -10 - x/10

Answer:

...

against the wind, an airplane travels 3640 km in 7 hours.

with the wind, the same plane travels 6000 km in 6hrs.

...

let speed of plane in still air be x mph

speed of wind be y mph.

..

t=d/r

..

against wind speed = x-y mph

with wond speed = x=y mph

...

3640/(x-y)=7

3640 = 7x-7y

/7

520=x-y.....................1

...

6000/x+y = 6

6000 = 6x+6y

/6

1000=x+y.....................2

...

Add (1) & (2)

2x=1520

/2

x=760 mph speed of plane in still air

...

plug value of x in 2

1000=760+y

100-760=y

240 = y

240 mph speed of wind

Answer:

12. 10/3, which simplifies to 3 1/3

13. 5/6

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Answer:

[tex]\frac{\sqrt[3]{20}}{5}[/tex]

Step-by-step explanation:

Let [tex]x = \sqrt[3]{\frac{4}{25}}[/tex], we proceed to show the procedure to determine the simplest form of this number:

1) [tex]\sqrt[3]{\frac{4}{25} }[/tex] Given.

2) [tex]\left(\frac{4}{25}\right)^{1/3}[/tex] Definition of cubic root.

3) [tex][4\cdot (25)^{-1}]^{1/3}[/tex] Definition of division.

4) [tex](4)^{1/3}\cdot [(25)^{-1}]^{1/3}[/tex]  [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]

5) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{1/3}\} \cdot \{[(25)^{-1}]^{2/3}\cdot [(25)^{-1}]^{-2/3}\}[/tex] Modulative and associative properties/Existence of multiplicative inverse/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

6) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{-2/3}\}\cdot \{[(25)^{-1}]^{1/3}\cdot [(25)^{-1}]^{2/3}\}[/tex] Commutative and associative properties

7) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{-2/3}\}\cdot (25)^{-1}[/tex]  [tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

8) [tex][(4)^{1/3}\cdot (25)^{2/3}]\cdot (25)^{-1}[/tex]  [tex](a^{b})^{c} = a^{b\cdot c}[/tex]

9) [tex][4\cdot (25)^{2}]^{1/3}\cdot (25)^{-1}[/tex] [tex](a^{b})^{c} = a^{b\cdot c}[/tex]/[tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]

10) [tex](2500)^{1/3}\cdot (25)^{-1}[/tex] Definition of power and multiplication.

11) [tex][(125)\cdot (20)]^{1/3}\cdot (25)^{-1}[/tex] Definition of multiplication.

12) [tex](125)^{1/3}\cdot [(20)^{1/3}\cdot (25)^{-1}][/tex] [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]/Associative property.

13) [tex]5\cdot [(20)^{1/3}\cdot (25)^{-1}][/tex] Definition of cubic root.

14) [tex]5\cdot [(20)^{1/3}\cdot (5)^{-1}\cdot (5)^{-1}][/tex] Definition of multiplication/[tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]

15) [tex][(20)^{1/3}\cdot (5)^{-1}][5\cdot (5)^{-1}][/tex] Commutative and associative properties.

16) [tex](20)^{1/3}\cdot (5)^{-1}[/tex] Existence of multiplicative inverse/Modulative property

17) [tex]\frac{\sqrt[3]{20}}{5}[/tex] Definitions of cubic root and division/Result

Answer:

Y intercept is (0,5), The slope is 5

Step-by-step explanation:

y = slope x + y-intercept

Answer:

The answer's the third one listed.

Step-by-step explanation:

The equation to solve for x is:

6x + 16 + 10x - 6 + 90 = 180

16x + 100 = 180

16x = 80

x = 5

To solve for angle BCD, just substitute 5 for x

m = 10(5) - 6

m = 50 - 6

m = 44

Answer:

c I guess tell me if I am wrong yall

The first term will be an x because

x squared breaks down as x times x.

First look for factors of your constant that add to your

coefficient of the middle term in the trinomial.

Also note that the constant is negative and a negative

factors as the product of a positive and a negative.

The factors of -20 that add to -8 are -10 and +2.

So we have y = (x - 10)(x + 2).

Answer: 3 hours

Step-by-step explanation:

From the question, we are informed that Ellen planned to interview some applicants for a position in her office and that she scheduled ½ of an hour to meet each of them.

The amount of time that she will schedule for all 6 applicants will be:

= 1/2 hour × 6

= 3 hours

Answer:

the answer is the option : D

Answer:

The value of g(22) = 31

Hence, option D is correct.

Step-by-step explanation:

Given

To determine

g(f(2)) = ?

To determine g(f(2)), first, we need to calculate f(2)

so substitute x = 2 in f(x)= 4x³ – 10

f(x)= 4x³ – 10

f(2) = 4(2)³ - 10

f(2) = 32 - 10

f(2) = 22

so

g(f(2)) = g(22)

now substitute x = 22 in g(x) = [3x - 4] / [2]

g(x) = [3x - 4] / [2]

g(22) =  [3(22) - 4] / [2]

g(22) = [66-4] / [2]

g(22) = [62] /  [2]

g(22) = 31

so

g(f(2)) = g(22) = 31

Therefore, the value of g(22) = 31

Hence, option D is correct.

Answer:

The correct answer is D. 31.

Step-by-step explanation:

I got it right on the Plato test.

Answer:

the answer is (3, 2)

Step-by-step explanation:

the formula to find the centroid of a triangle is

{( x1+x2+x3)/3 , ( y1+y2+y3)/3}

Answer:

1) 0.9 as fraction is:  [tex]\mathbf{\frac{9}{10}}[/tex]

2) Solve for c =4 for the equation [tex]2 \times (c^2-5)[/tex] we get 22

3) t = 64

4) p=3.15

5) Volume of Cuboid = 160 m³

6) x =9

Step-by-step explanation:

1) Write as fraction: 0.9

For writing the fraction, Since we have decimal point at tent's place so we can write it as: [tex]\frac{9}{10}[/tex]

So, 0.9 as fraction is:  [tex]\mathbf{\frac{9}{10}}[/tex]

2) Solve for c =4

[tex]2 \times (c^2-5)[/tex]

Put c = 4 and find the answer

[tex]2 \times (c^2-5)\\Put\:c=4\\=2\times ((4)^2-5)\\=2\times (16-5)\\=2\times(11)\\=22[/tex]

So, Solve for c =4 for the equation [tex]2 \times (c^2-5)[/tex] we get 22

3) [tex]\frac{t}{4}=16[/tex]

We need to find value of t

Multiply both sides by 4

[tex]4\times\frac{t}{4}=16\times 4\\t=64[/tex]

So, we get t = 64

4) [tex]2.4p=7.56[/tex]

We need to find value of p

Divide both sides by 2.4

[tex]\frac{2.4p}{2.4}=\frac{7.56}{2.4}\\p=3.15[/tex]

So, we get p=3.15

5) Find Volume of Cuboid

The formula used is: [tex]Volume\:of\: Cuboid=Length\times Breadth \times Height[/tex]

We have Length = 4, Breadth = 8 and Height = 5

Putting values and finding volume:

[tex]Volume\:of\: Cuboid=Length\times Breadth \times Height\\Volume\:of\: Cuboid=4\times 8 \times 5\\Volume\:of\: Cuboid=160[/tex]

So, Volume of Cuboid = 160 m³

6) [tex]3x=27[/tex]

We need to find value of x

Divide both sides by 3

[tex]3x=27\\\frac{3x}{3}=\frac{27}{3}\\x=9[/tex]

We get x =9

Answer:

15 is 30% of 100 I believe

Answer:

50

Step-by-step explanation:

Hope this answer your question.

Answer:

8a+6b+4c is the right answer

Answer:

=1a+6b+4c+7a

=1a+7a+6b+4c

=8a+6b+4c

Answer: n^3/m^2

Step-by-step explanation:

first, i expressed it with a positive exponent.

1/m^2 x n^3

then, i calculated it from there.

n^3/m^2

Answer:

p - 2

Step-by-step explanation:

Because the collar weighs two pounds, to find how much the dog would weigh without the collar, you simply have to subtract two pounds from the final count, represented by p.

Answer:

take the 2 pounds off the dog's regular weight

Answer:

[tex] {y} = 6\sqrt{3} \:units [/tex]

Step-by-step explanation:

By Pythagoras Theorem:

[tex] {y}^{2} = {(9 + 3)}^{2} - {(6)}^{2} \\ \\ {y}^{2} = {(12)}^{2} - {(6)}^{2} \\ \\ {y}^{2} = 144 - 36 \\ \\ {y}^{2} = 108 \\ \\ {y} = \sqrt{108} \\ \\ {y} = \sqrt{36 \times 3} \\ \\ {y} = \sqrt{ {6}^{2} \times 3} \\ \\ {y} = 6\sqrt{3}\:units [/tex]

Answer:

x = 60

Step-by-step explanation:

The formula for this kind of question is

Area of sector = x / 360 * pi * r^2  = 24*pi

x/360 * pi * 12^2 = 24 pi

x/360 * pi * 144 = 24 pi                  the pi s cancel out

x / 360 = 24/144                             Multiply both sides by 360

x = 24 * 360/144

x = 60

Answer:

$30

Step-by-step explanation:

5% of 600 = 0.05 × 600 = 30