complete the process of solving the equation 5t+8=63 subtract 8 from both sides of the given equation

Answer:

  30,300 seconds

Step-by-step explanation:

There are 60 minutes in each hour, and 60 seconds in each minute. The total time is found by multiplying by the appropriate conversion factor.

__

The 8 hours each have 60 minutes, so the total number of minutes in 8 hours is ...

  (8 h) × (60 min/h) = 480 min

The total number of minutes is 25 more than the number of minutes in the hours:

  480 min + 25 min = 505 min

These each have 60 seconds, so the total number of seconds is ...

  (505 min) × (60 s/min) = 30300 s

The game lasted 30,300 seconds.

Answer:

y (y/1)

Step-by-step explanation:

the reciprocal of a number is basically what it needs to multiply to to equal to one

so basically you flip the numbers

1/y s reciprocal would be y/1 which is also just y

Answer: y

Step-by-step explanation:

(x_1+x_2)=-b/a=18/3=6

x_1x_2=c/a=-21/3=-7

So

(x_1-x_2)²

x_1-x_2=8

Answer:

[tex]x{_1}^2+x{_2}^2=50[/tex]

[tex]|x_1-x_2|=8[/tex]

Step-by-step explanation:

Given equation:

[tex]3x^2-18x-21=0[/tex]

Factor to find the roots:

[tex]\implies 3(x^2-6x-7)=0[/tex]

[tex]\implies x^2-6x-7=0[/tex]

[tex]\implies x^2+x-7x-7=0[/tex]

[tex]\implies x(x+1)-7(x+1)=0[/tex]

[tex]\implies (x-7)(x+1)=0[/tex]

Therefore:

[tex]\implies (x-7)=0 \implies x=7[/tex]

[tex]\implies (x+1)=0 \implies x=-1[/tex]

Therefore, the roots of the quadratic equation are:

[tex]x = 7,\quad x = -1[/tex]

Let  [tex]x_1 = 7[/tex]

Let  [tex]x_2 = -1[/tex]

[tex]\implies x{_1}^2+x{_2}^2=7^2+(-1)^2=50[/tex]

[tex]\implies |x_1-x_2|=|7-(-1)|=8[/tex]

Answer:

the correct answer is C her puppy weighted 20 pounds

The shopkeeper had brought the fan at Rs.1350

Answer:

c) 480

Step-by-step explanation:

Any percentage can be converted to a number ratio by dividing by 100%.

E.g. 100%/100% = 1

Following this concept, we can find the equivalent of 110% :

110%/100% = 1.1

Since 528 is 1.1 times the number we are looking for, we just need to divide 528 by 1.1 to find our number. This is because 1.1/1.1 = 1

528/1.1 = 480

Hope this helped!

Answer:

16.06 lbs

Step-by-step explanation:

I believe, I did~ 0.73x22

Answer:

(2, 5 )

Step-by-step explanation:

y = 2x + 1 → (1)

3y = 4x + 7  → (2)

substitute y = 2x + 1 into (2)

3(2x + 1) = 4x + 7 ← distribute parenthesis on left side

6x + 3 = 4x + 7 ( subtract 4x from both sides )

2x + 3 = 7 ( subtract 3 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

substitute x = 2 into (1) for corresponding value of y

y = 2(2) + 1 = 4 + 1 = 5

solution is (2, 5 )

$8,966.02 is your answer

Answer:

The equation is

g(x) = (x+5)² - 6

Answer:

The largest interger that satisfies the equation is 3

Step-by-step explanation:

If we subtract 10 from each side, we get 7x<=21

Then, we divide 7 on each side to get x<=3.

So the largest interger to satisfy the equation is 3

(Btw, <= means less than or equal to)

Hope this helped you, and have a great day!

Answer:

x<=3

Step-by-step explanation:

minus 10 fom both sides

7x + 10-10<=31-10

restate as

7x<=21

divid both side by same factor

7x/7 and 21/7

restate as

x<=3

Answer:

No, it will not be a right triangle

Step-by-step explanation:

Since E (-4, 5) and F (-1, 1) are both in-plane one and G (3, 4) in-plane two

The x's are wrong for E and F which would be a cause for not a right triangle

And the y for G is not either 5 or 1 which would help make the triangle a right triangle.

So the triangle ends up being an scalene triangle and not a right triangle

Hopes this helps :)

Answer:

Linear

Step-by-step explanation:

X = X + 1

Y= Y *3

A table of data is linear if there is a constant average rate of change between all pairs of points

There is because X is being added one every time and Y is being multiplied by 3 every time.

Hope this helps!

Answer:

it has to be 7 days because the other degrees are higher than 84.

Step-by-step explanation:

80 - 82 = 7 days

The coordinates of the new triangle's vertices are (0, -1), (-4, -3), and

(-2, -1). Hence option A is true.

Used the rule of a point (x, y) when rotated over the y-axis of 90° clockwise rotation from point (0, 0),

(x, y) → (y, - x)

Given that the triangle BCD is shown in the image.

Here, the coordinates of the vertices of BCD are,

B = (1, 0)

C = (3, - 4)

D = (1, - 2)

Now apply the rotation rule, the coordinates of the new triangle's vertices are;

B' = (0, - 1)

C' = (- 4, - 3)

D' = (- 2, - 1)

Therefore, the option A is true.

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Answer:

  B.  95°

Step-by-step explanation:

Given the three sides of a triangle, the Law of Cosines can be used to find any of the angles.

__

  j² = k² +l² -2kl·cos(J) . . . . . law of cosines applied to this triangle

  J = arccos((k² +l² -k²)/(2kl)) . . . . . solve for angle J

  J = arccos((7² +6.58² -10²)/(2·7·6.58)) = arccos(-7.7036/92.12)

  J ≈ 94.797° ≈ 95°

The measure of angle J is about 95°.
_____

Additional comment

Angle J is opposite side j, which is the longest side. That means angle J is the largest angle in the triangle. The largest angle of the triangle can never be less than 60°. Only one answer choice qualifies. (No computation is necessary.)

Answer:

4cm

Step-by-step explanation:

sin(30) = 2/x (using trigonometry)

rearrange for x to give x = 2/sin(30)

then x = 4cm (using calculator)

SIMILARLY:

You can use 2/cos(60) to also give 4cm

Answer:

Im pretty sure the guy above me is right

Step-by-step explanation:

Answer & Step-by-step explanations:

I assume they want probability as a decimal as opposed to a fraction. I will do two questions for you, apply the same logic to all the rest.

P(Black or heart):
There are 26 black cards in a deck, and 13 (red) hearts.

26 + 13 out of 52 cards.

39 / 52 as a decimal is 0.75
P(Black or heart) = 0.75 or 75%
If wanted as a fraction, simplify your fraction down

39/52 has a common factor of 13, divide both numbers by 13

P(Black or heart) = 3/4

P(Red or 10):
There are 26 red cards and four 10's in a deck. Two of these 10's are red, so we will not double count them.

26 + 2 out of 52 cards.
28 / 52 as a decimal is about 0.54 or 54%

P(Red or 10) = 0.54 or 54%
If wanted as a fraction, simplify your fraction down

28/52 has a common factor of 4, divide both numbers by 4

P(Red or 10) = 7/13

Answer:

25.15

Step-by-step explanation:

the 25 comes before the 18 in the sentence. super easy

Answer:

Step-by-step explanation:

5x-2y-12=0

5x-2y+12-12=0+12

5x-2y=12

5x-5x-2y=12-5x

-2y=12-5x

(-2y)/-2=(12-5x)/-2

y=5/2x-6

slope= 5/2x up 5 over 2

y-intercept is -6

Answer:

Step-by-step explanation:

-6 - (-9)

1) Remove parentheses

-6 + 9

2) Simplify

3

See attachted image for rules of positive and negative integers.

Source: YourDictionary

This shows that for the function f(x), the pair of limits that would verify the existence of a vertical asymptote at x = –1 is expressed as:

[tex]\lim_{x \to -1^+} a_n = \lim_{x \to -1^-} a_n =f(c)[/tex]

For the limit of a function to be continuous at a point x = a, the left hand limit of the function must be equal to the right hand limit.

Mathematically, the expression below must be true

[tex]\lim_{x \to a^+} a_n = \lim_{x \to a^-} a_n =f(c)[/tex]

This shows that for the function f(x), the pair of limits that would verify the existence of a vertical asymptote at x = –1 is expressed as:

[tex]\lim_{x \to -1^+} a_n = \lim_{x \to -1^-} a_n =f(c)[/tex]

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Answer:

i guess you know its 40 now. :p

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

Subpart (e) :

⇒ New volume = 2 x 3 x 2 x 4 x 2 x 5

⇒ New volume = 8 x 60

⇒ New volume = 480 in³

=============================================================

Subpart (f) :

⇒ New volume : Original volume

⇒ 480 : 60

⇒ 1 : 8

=============================================================

Subpart (g) :

Step 1

⇒ SA = 2(6 × 9 + 9 × 11 + 6 × 11)

⇒ SA = 2(54 + 99 + 66)

⇒ SA = 2(219)

⇒ SA = 438 in²

Step 2

⇒ V = 6 × 9 × 11

⇒ V = 54 × 11

⇒ V = 594 in³

Step 3

⇒ New SA = 2 x 438

⇒ New SA = 876 in²

Step 4

⇒ New : Original

⇒ 876 : 438

⇒ 2 : 1

Step 5

⇒ New V = 2³ x 594

⇒ New V = 8 × 594

⇒ New V = 4752 in³

Step 6

⇒ New : Original

⇒ 4752 : 594

⇒ 8 : 1

Answer:

No, because a right angle must not have the least 90°/. degrees c

The equations of ellipses whose major axis lengths are twice their minor axis lengths are

To answer the question, we need to know what an ellipse is.

An ellipse is part of a conic section.

The equation of an ellipse centered at (h,k) with major axis on the x-axis and major axis length, 2a and minor axis length 2b is

(x - h)²/a² + (y - k)²/b = 1

The equations of ellipses whose major axis lengths are twice their minor axis lengths with ellipse centered at (h,k) with major axis on the x-axis. Since the major axis is twice the length of the minor axis, a = 2b.

So, (x - h)²/a² + (y - k)²/b² = 1

(x - h)²/(2b)² + (y - k)²/b² = 1

(x - h)²/4b² + (y - k)²/b² = 1

The equations of ellipses whose major axis lengths are twice their minor axis lengths with ellipse centered at (h,k) with major axis on the y-axis. Since the major axis is twice the length of the minor axis, a = 2b.

So, (x - h)²/b² + (y - k)²/a² = 1

(x - h)²/b² + (y - k)²/(2b)² = 1

(x - h)²/b² + (y - k)²/4b² = 1

So, the equations of ellipses whose major axis lengths are twice their minor axis lengths are

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Answer: C

Step-by-step explanation:

Because there are two pairs of opposite parallel sides, it is a parallelogram.

Since the diagonals intersect at a right angle, the parallelogram is also a rhombus.