1. Slove the system of equations, first by graphing, and then algebraically. (8 points) y=x-2 and y=-2x+7

Answer:

Ten plus six hundredth plus 8 thousandth equals ten and sixty-eight thousandths

Step-by-step explanation:

0.06 is in the hundredth place

0.008 is in the thousandth place

Answer:

ten plus zero point zero six plus zero point zero zero eight

Step-by-step explanation:

The ten is 10 then plus + and then 0.06 plus + 0.008

Answer:

17

Step-by-step explanation:

Let the number be x.

We know that 3x=51

If we divide both sides by three, we get x=17

17

act like there is a variable in there and youll get 17

To simulate the 20% probability of rain over three days, generate a random number between 1 and 100 for each day. Count the trials where all three numbers are between 21 to 100 as 'non-rainy' days. The experimental probability of no rain in three days is the ratio of 'non-rainy' trials to total trials.

Probability is a branch of mathematics that studies randomness and the chance of an event occurring. In this case, we can perform a simulation to experimentally determine the probability that it will not rain on the next 3 days even though there is a forecast of a 20% chance of rain.

One way to perform the said simulation is by using random numbers from 1 to 100. Why? Because probability can be expressed as a percentage, and the range from 1 to 100 encompasses all percentage possibilities (0% to 100%). So, for each day, we can generate a random number in this range. If the generated number falls in the range 1-20 (which represents the 20% predicted chance of rain), we consider that day as a 'rainy day'. If it falls in the range 21-100, we consider it a 'non-rainy day'.

We repeat this process for three days. The experimental probability of it not raining on all three days will be the ratio of favorable outcomes (all three numbers landing in the 'non-rainy day' range) to the total number of trials.

If we perform a large number of these three-day simulations, we'll have a good estimate of the experimental probability. The Law of Large Numbers ensures that as more trials are conducted, the experimental probability will approach the theoretical probability.

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To find out how long it took Juan to finish, we add the time differences to Jesse's time. Tim finished 12 seconds faster than Jesse and Juan finished 8 seconds faster than Tim.

To find out how long it took Juan to finish, we need to add the time differences to Jesse's time. First, we know that Tim finished 12 seconds faster than Jesse, so we can add 12 seconds to Jesse's time which becomes 2 minutes and 19 seconds. Next, we know that Juan finished 8 seconds faster than Tim, so we can add 8 seconds to Tim's time which becomes 2 minutes and 27 seconds. Therefore, it took Juan 2 minutes and 27 seconds to finish the race.

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Answer:

30 feet

Step-by-step explanation:

3 feet times 10 years would be 30. This is because for each yard, the player travels 3 feet.

Answer:

30 feet or 10 yards

Step-by-step explanation:

feet is 1 yard so

to get 10 yards

do 3 feet times 10 to make 30 feet

split 30 feet into yards

1 yard for every 3 feet

30 divided by 3 is 10 yards

Answer:

x =3

Step-by-step explanation:

step 1:Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3*x-5-(2*x-8)=0

step 2:solve x+3=0

subtract 3 from both sides

step 3:   x=-3

answer:x= -3

Answer:x=3

Step-by-step explanation:

Move variable to the left side and change its sign

3x-2+5=8

Move constant to the right side and change its sign

3x-2x=8-5

Combine like terms

X=3

Answer:

(3 , 2.5)

the trip would cost $12.5

12.5 = 3.5 (3)+2

12.5 = 3 (2.5)+5

Step-by-step explanation:

The distance at which the cost of each taxi is the same is 6 miles.

The trip would cost $23.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 - 9 is an equation.

We have,

Taxi A:

c = 3.5d + 2

Taxi B:

c = 3d + 5

Where c is the cost of the taxi after d distance.

Now,

The cost of the taxi is the same.

3.5d + 2 = 3d + 5

3.5d - 3d = 5 - 2

0.5d = 3

d = 3/0.5

d = 30/5

d = 6

The cost of the taxi at d = 6.

c = 3.5d + 2 = 3.5 x 6 + 2 = 21 + 2 = 23

c = 3d + 5 = 3 x 6 + 5 = 18 + 5 = 23

Thus,

The cost of both taxis is the same after 5 miles.

Learn more about equations here:

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Answer:6

Step-by-step explanation:

Dividing 750 by 125 you get 6

Answer:

$1910.1744

Step-by-step explanation:

To start we have to calculate how much the total will give us in one year,  for this we divide the number by 100 and multiply it by 102, so we will get that 2%  in one year

(1800 / 100) * (100 + 2) =

18 * 102

1836

Now we will repeat the procedure but instead of using the 1800 we will use the 1836 which will be what we will have when the first year ends.

(1836 / 100) * (100 + 2) =

18.36 * 102

1872.72

Finally we do the same with the new number

(1872.72 / 100) * (100 + 2) =

18.7272 * 102

1910.1744

So  in conclusion putting $1800 at the end of the 3 years we will get $1910.1744

$1910.1744 - $1800 = $110.1744

that is the exact amount of the profit that we will obtain.

Answer:

Only B and C are correct

Step-by-step explanation:

Answer:

B edit: C is also correct and E isnt my bad

Step-by-step explanation:

The difference of d and 6 times 2

for the equation 2(d-6)

Answer: no because 2 times -2 equals -4 and -4 - 1 = -5 not -3.

A unit fraction is a fraction with a numerator of 1 and a positive integer denominator. Identifying unit fractions involves ensuring the numerator is 1. Examples include 1/2, 1/3, and 1/5.

A unit fraction is a fraction where the numerator is always 1, and the denominator is a positive integer. This means that a fraction of the form 1/b, where b is a positive integer, qualifies as a unit fraction. For example, 1/2, 1/3, and 1/5 are unit fractions because the numerators are all 1.

When working with fractions, it's important to understand their components. The numerator (top number) represents how many parts you have, while the denominator (bottom number) tells you into how many equal parts the whole is divided. This rule helps identify unit fractions, as the numerator must always be 1.

To summarize, determining unit fractions is straightforward: check if the numerator is 1 and the denominator is a positive integer. If both conditions are met, you have a unit fraction.

Step-by-step explanation:

[tex] \angle 1 [/tex] is the exterior angle of the given [tex] \triangle. [/tex]

Therefore, by remote exterior angle theorem.

[tex] \therefore \: m \angle \: 1 = 60 \degree + 63\degree \\ \\ \huge \red{ \boxed{\therefore \: m \angle \: 1 = 123 \degree }}[/tex]

Properties of polygons.

Step-by-step explanation:

(1) Both pair of opposite sides are congruent.          Distance Formula

(2) Both pairs of opposite sides are parallel.            Slope Formula

(3) Diagonals are congruent .                                    Distance Formula

(4)  Diagonals bisect to each other.                          Midpoint Formula

(5) Diagonals are perpendicular.                               Slope Formula

(6)  Sides of polygon create a right angle.                Slope Formula

(7) A triangle is isosceles /equilateral.                      Distance Formula

Answer:

i have no clue

Step-by-step explanation:

ask someone else

Answer:

Distance [tex]=\sqrt{164}\ \approx12.80\ yards[/tex]

Step-by-step explanation

Pythagorean theorem :

In a right triangle

[tex](Hypotenuse)^2=(Perpendicular)^2+(base)^2[/tex]

From the diagram

[tex]perpendicular = 10\ yards\\\\Base = 8\ yards \\\\Hypotenuse = distance\ (d)\\\\(d)^2=(10)^2+(8)^2\\(d)^2=100+64\\(d)^2=164\\d=\sqrt{164}\ \approx12.80\ yards[/tex]

Answer:

5.85

Step-by-step explanation:

$40.95 / 7 =5.85

Total surface area of the square pyramid is 1476 cm².

Step-by-step explanation:

Total surface area of a pyramid = 12pl + B. Here p is perimeter of the base which is a square = 4 × side, l is the slant height and B is the area of the base = side²

Find perimeter of the base

⇒ p = 4 × side = 4 × 6 = 24 cm

Find the slant height of the prism. l² = height² + (side/2)² (Based on Pythagoras Theorem)

⇒ l² = 4² + (6/2)² = 16 + 9 = 25

⇒ l = √25 = 5 cm

Find the area of the base of the pyramid.

⇒ B = side² = 6² = 36 cm²

Calculate total surface area of the pyramid.

⇒ TSA = 12 × 24 × 5 + 36 = 1440 + 36 = 1476 cm²

Answer:

A(2,1) , B(-3,2) , C(-1,6)

Step-by-step explanation:

A translation of 2 units up means the y values will be shifted up 2 units

A (2,-1) -> A(2,1)

B (-3,0) -> B(-3,2)

C (-1,4) -> C(-1,6)

The vertices of the image of triangle ABC after a translation of 2 units up are A' (2, 1), B' (-3, 2), and C' (-1, 6), found by adding 2 to the y-coordinate of each original vertex.

The student has asked how to find the vertices of the image of triangle ABC after a translation of 2 units up. To do this, we simply add 2 to the y-coordinate of each vertex of the triangle. Here are the steps for the translation:

For vertex A (2, -1), the new position after translation is A' (2, -1 + 2) or A' (2, 1).

For vertex B (-3, 0), the new position after translation is B' (-3, 0 + 2) or B' (-3, 2).

For vertex C (-1, 4), the new position after translation is C' (-1, 4 + 2) or C' (-1, 6).

Therefore, the vertices of the image of triangle ABC after the translation are A' (2, 1), B' (-3, 2), and C' (-1, 6).

Answer:  yes

Step-by-step explanation:

Answer:

10 degrees

Step-by-step explanation:

Divide 360 by however many sides or angles are within the polygon.

360/x

360/36

10

Answer:

2 years

Step-by-step explanation:

K = 4D. K = D + 6

4D = D + 6

-D. -D

3D = 6

3. 3

D = 2

Answer:

d=2

Step-by-step explanation:

We can use the given information to write down two equations that describe the ages of Kevin and Daniel.

Let Kevin's current age be k and Daniel's current age be d.

k=4d

k=d+6

Now we have two independent equations, and we can solve for our two unknowns.

Since we are looking for d, and both of our equations have k alone on one side, this is a convenient time to use elimination.

Subtracting the second equation from the first equation, we get:

0=4d-(d+6)

which combines the information about d from both of our original equations.

Solving for d, we get: 3d = 6.

d=2

Answer: 55 lbs of $0.40 and 45 lbs of $1.40

Step-by-step explanation:

Let's say that we have two buckets, one that weighs x pounds and the candies in it are $0.40 per pound and another that weighs 100-x pounds (because we know the two added together must be 100 pounds) and the candies in it are $1.40 per pound.

There is a third bucket that is made when you combine the two, it weighs 100 pounds and the candies in it are $0.85. Multiply the cents per pound by the pounds of the candy for each bucket and you get this equation:

0.4 * x + 1.4 (100-x) = 0.85 * 100

Solve!

0.4x + 140 - 1.4x = 85

-x + 140 = 85

-x = -55

x = 55

From this we get that 100 - x = 45.

So, the answer is 55 lbs of $0.40 and 45 lbs of $1.40

ANSWER: 55 lbs of $0.40 and 45 lbs of $1.40

Step-by-step explanation:

Let's say that we have two buckets, one that weighs x pounds and the candies in it are $0.40 per pound and another that weighs 100-x pounds (because we know the two added together must be 100 pounds) and the candies in it are $1.40 per pound.

There is a third bucket that is made when you combine the two, it weighs 100 pounds and the candies in it are $0.85. Multiply the cents per pound by the pounds of the candy for each bucket and you get this equation:

0.4 * x + 1.4 (100-x) = 0.85 * 100

Solve!

0.4x + 140 - 1.4x = 85

-x + 140 = 85 .

-x = -55

x = 55

From this we get that 100 - x = 45.

So, the answer is 55 lbs of $0.40 and 45 lbs of $1.40

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pronouns:she/they

Answer:

I = 0.5[tex]t^{4}[/tex] + 6.5t³ + 16t² + 10t

Step-by-step explanation:

Given

V = [tex]\frac{I}{R}[/tex] ( multiply both sides by R )

I = VR

  = (0.5t³ + 6t² + 10t)(t + 1) ← distribute

  = 0.5[tex]t^{4}[/tex] + 6t³ + 10t² + 0.5t³ + 6t² + 10t ← collect like terms

  = 0.5[tex]t^{4}[/tex] + 6.5t³ + 16t² + 10t

Answer: a) A'=(2, 3), B'=(-2,3), C'=(-2,-3) D'=(2,-3)

b) the measure of each angle is 90 degrees.

Step-by-step explanation:

a) To find the coordinates you need to know that (x,y) is changed to (-y,x). This means that they are flipped and changed from either negative to positive or positive to negative.

b) Each angle is 90 degrees because that shape is a rectangle with all equal right angles.  

The coordinates of the vertices of rectangle A'B'C'D' after rotating rectangle ABCD 90° about the origin are A'(-2,-3), B'(-2,3), C'(-2,-3), and D'(2,-3). All angles in rectangle A'B'C'D' measure 90°.

When a point is rotated 90° about the origin, the new coordinates can be found using the formula (y, -x). Therefore, applying this to each vertex of the rectangle, A'(3,-2) becomes A'(-2,-3), B'(3, 2) becomes B'(-2,3), C'(-3, 2) becomes C'(-2,-3) and D'(-3, -2) becomes D'(2,-3).

Since A'B'C'D' is a rectangle, all its angles are right angles. This means all the angles measure 90°.

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Answer: 4.647

Step-by-step explanation:

The 4 in the hundredths place, or before the 6, is less than 5 so it will not round the 6 to a 7, therefore making it not round to 4.7

Answer:

Option D:  - 6;  [tex]$ \textbf{-5}\frac{\textbf{5}}{\textbf{2}} $[/tex];   [tex]$ \textbf{-4}\frac{\textbf{1}}{\textbf{5}} $[/tex].

Step-by-step explanation:

The sequence is defined by:

[tex]$ A(n) = -6 + (n - 1)\bigg( \frac{1}{5} \bigg ) $[/tex]

To find the first term of the sequence simply substitute n = 1.

First term of the sequence:

[tex]$ A(1) = -6 + (1 - 1)\bigg( \frac{1}{5} \bigg ) $[/tex]

        [tex]$ = - 6 $[/tex]

Fourth term of the sequence:

[tex]$ A(2) = -6 + (4 - 1) \bigg ( \frac{1}{5} \bigg) $[/tex]

        [tex]$ = - 6 + 3\bigg( \frac{1}{5} \bigg) $[/tex]

        [tex]$ = \frac{- 30 + 3}{5} $[/tex]

        [tex]$ = \frac{-27}{5} $[/tex]

        [tex]$ = \frac{-25 - 2}{5} $[/tex]

        [tex]$ = - 5 - \frac{2}{5} $[/tex]

        [tex]$ = -5\frac{2}{5} $[/tex]   is the required answer.

Tenth term of the sequence:

[tex]$ A(10) = - 6 + (10 - 1) \bigg( \frac{1}{5} \bigg) $[/tex]

         [tex]$ = - 6 + 9\bigg( \frac{1}{5} \bigg) $[/tex]

         [tex]$ = \frac{-30 + 9}{5} $[/tex]

         [tex]$ = \frac{-21}{5} $[/tex]

         [tex]$ = \frac{-20 - 1}{5} $[/tex]

         [tex]$ = - 4 - \frac{1}{5} $[/tex]

         [tex]$ = -4\frac{1}{5} $[/tex]  is the required answer.

Answer:

55

Step-by-step explanation: