The value of y varies directly with x,. If x=3, then y=21. What is the value of x when y=105?

Answer:

The system of equations has no solution.

Step-by-step explanation:

Given the system of equations

2y = 2x+7

x = y+2

solving the system of equations

[tex]\begin{bmatrix}2y=2x+7\\ x=y+2\end{bmatrix}[/tex]

Arrange equation variables for elimination

[tex]\begin{bmatrix}2y-2x=7\\ -y+x=2\end{bmatrix}[/tex]

Multiply -y+x=2 by 2:  -2y+2x=4

[tex]\begin{bmatrix}2y-2x=7\\ -2y+2x=4\end{bmatrix}[/tex]

so adding

[tex]-2y+2x=4[/tex]

[tex]+[/tex]

[tex]\underline{2y-2x=7}[/tex]

[tex]0=11[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}2y-2x=7\\ 0=11\end{bmatrix}[/tex]

0 = 11 is false, therefore the system of equations has no solution.

Thus,

No Solution!

The area of the given triangle ABC is 61.8 Square units.

The entire area filled by a triangle's three sides on a two-dimensional plane is referred to as the triangle's area.

Given that, a triangle ABC. whose side AC is 10 and BC is 13. and two angles ∠ACB and ∠BAC are 72° and 64° respectively. since area of a triangle = 1/2 * multiple of two sides * sin(angle made by those side)

Hence,

area of triangle ABC = 1/2 * AC * BC *sin(∠ACB)

Area of the triangle = 1/2 * 10 * 13 * sin 72° = 61.8

Therefore, the area drawn by the given triangle ABC is 61.8 square units.

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The area of the triangle is A = 61.8 units²

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now ,  length of side AC is 10 and the length of CB is 13.

Angle BAC is 64° and angle ACB is 72°

Now , the area of the triangle is A = ( 1/2 ) x Length x Base ( sin 72° )

A =  1/2 ( 10 ) ( 13 ) sin 72°

A =  61.8 units²

Hence , the area is A = 61.8 units²

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Answer: the first answer choice or (6,4)

Step-by-step explanation:

where they intersect

Answer:

110

Step-by-step explanation:

55 times 2/1 = 110 (you flip the fraction and change the sign to multiplication)

Answer:

110

Step-by-step explanation

Answer:

9736 times 704 is 6854144

Answer:

6854144

explanation:

Answer:percent increase in the number of games won= 18%

Step-by-step explanation:

Number of game won last year = 11

Number of games won this year = 13

Percent increase = Increase in number of games won/ Number of games won lasT year ) X 100

= (13-11)/ 11 X 100

2/11 X100

=18.18= 18%

Answer:

[tex]80[/tex]° and [tex]10[/tex]°

Step-by-step explanation:

Complementary angles are a pair of angles whose measures have a sum of [tex]90[/tex]°. Therefore, if we let the measure of the bigger angle be [tex]x[/tex], then the measure of the smaller angle will be [tex]x-70[/tex] because we are given that the difference of the measures of the two angles is [tex]70[/tex]°. We can write the following equation to solve for [tex]x[/tex]:

[tex]x+x-70=90[/tex]

Solving for [tex]x[/tex], we get:

[tex]x+x-70=90[/tex]

[tex]2x-70=90[/tex] (Simplify LHS)

[tex]2x-70+70=90+70[/tex] (Add [tex]70[/tex] to both sides of the equation to isolate [tex]x[/tex])

[tex]2x=160[/tex] (Simplify)

[tex]\frac{2x}{2}=\frac{160}{2}[/tex] (Divide both sides of the equation by [tex]2[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=80[/tex] (Simplify)

Therefore, the measure of one angle is [tex]80[/tex]° and the measure of the other angle is [tex]x-70=80-70=10[/tex]°. Hope this helps!

We know, sum of complementary angles = 90°

Let, one of the angle = x°

∴ Another angle = (90 - x)°

As per condition,

(x°) - (90 - x)° = 70°

⇒ x° - 90° + x° = 70°

⇒ 2x° = 70° + 90° = 160°

⇒ x° = 80°.

So, angles are:-

Answer:

12

Step-by-step explanation:

Answer:

28.65 yds (If you have to round do 29)

Step-by-step explanation:

a^2 + b^2 = c^2

14^2 + 25^2 = c^2

196 + 625 = 821

since c is squared you have to find the square root of 821

821 squared equals 28.65 yards

Answer:

-9

Step-by-step explanation:

i think it's  -10

that's confusing

Answer:

c = 3.45 * p

Step-by-step explanation:

Since the total cost of Cheddar Cheese is dependant on the number of pounds that are being purchased then to calculate the total cost we would need to multiply the price per pound by the number of pounds being purchased. Therefore, the following equation would best represent the total cost of the cheddar cheese...

c = 3.45 * p

he mixture refers to the one pound mix of peanuts and raisins that cost $7.50.

So you need to figure out how much of that 1 lb is raisins and how much is peanuts based on how much they each cost separately.

r=raisins, p=peanuts

(r x $3.25) + (p x $5.75) = $7.50

The weight of the ingredients in the mixture are  1.8 pound and 0.2 pound respectively.

A system of linear equations is a group of  equations having same number of variables and degree.

For the n number of variables n number of equations are required.

On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.

The given problem can be solved as follows,

Suppose the amount of raisins be x pound,

And, the amount of peanuts be y pound,

Now, the equation for the total amount is given as,

x + y = 2                                  (1)

And, for the cost as,

3.25x + 5.75y = 7.50             (2)

Multiply equation (1) by 3.25 and then subtract from (2) as follows,

3.25(x + y) - (3.25x + 5.75y) = 2 × 3.5 - 7.50

=> -2.5y = -0.5

=> y = 0.2

Then, x + 0.2 = 2

=> x = 1.8

Hence, the weight of raisins and peanuts in the mixture is given as 1.8 pound and 0.2 pound respectively.

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Answer:

20 tickets

Step-by-step explanation:

tickets/total tickets * 100% = 10% chance to win the raffle

x/200*100=10

solve for x

x/200 =  10/100

x = 200(0.1)

x = 20

Answer:

it’s point c

Step-by-step explanation:

it would be 1.7 and point C is closer to that than point B

Hence, point c represents 1.732.

It's a long, thin mark formed with a pen, pencil, or other tool.

A line in geometry:

• isn't crooked (no bends),

• lacks thickness

• and goes on forever in both directions (infinitely).

It's a "Ray" with one end and a "Line Segment" with two ends.

Try shifting points A and B around.

We know that [tex]\sqrt{3} =1.7320[/tex]

Given point A,B,C,D hence clearly we can see that point c represents 1.7320...

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Answer:

Definition of 18T - 18T stands for Tatum Airport.

Step-by-step explanation:

Answer:

4^6

Step-by-step explanation:

Answer:

THE ANSWER IS 4^6

Explanation:

=4^(2×3)

=4^6

Answer:

The amount of weight he has lost in 3 months is 1.215 stone or 1 stone 3 pounds

Step-by-step explanation:

From the above question, we are to calculate the amount of weight he has lost in three months

1 stone = 14 pounds

Let's convert all the weight lost to stone

At the start of the diet keirin weighted 14 stone 13 pounds

14 pounds = 1 stone

13 pounds = x

Cross Multiply

14x = 13

x = 13/14

x = 0.9285714286 stone

Approximately = 0.929 stone

Hence:

14 stone 13 pounds = 14 + 0.929 = 14.929 stone

Three months later he weighted 13 stone 10 pounds

14 pounds = 1 stone

10pounds = x

Cross Multiply

14x = 10

x = 10/14

x = 0.7142857143 stone

Approximately = 0.714 stone

Hence:

13 stone 10 pounds = 13 + 0.714 = 13.714 stone

The amount of weight he has lost is calculated as:

14.929 stone - 13.714 stone = 1.215 stone or 1 stone 3 pounds

Answer:

[tex]y= 90+15x[/tex]

Step-by-step explanation:

A babysitter gets paid $60 for 4 hours of work. Write an equation to represent how many hours a babysitter would work for $90

Step one:

Given data

A babysitter gets paid $60 for 4 hours of work

let us find the pay per hour

pay per hour will be= 60/4

pay per hour will be= $15

let the number of hours be x and the money earned be y

the expression is

[tex]y= 90+15x[/tex]

Answer:

y= -4x+20

x intercept is 5

y intercept is 20

slope is -4

if she buys three comics she will have $8 left

Answer:

14 ounce

Step-by-step explanation:

Given that:

Ounces of dough used in making recipe = 70 ounces

Number of ounces frozen = 28 ounces

Number of pizzas made from dough left = 3

Number of ounces left = total made - number frozen

Number of ounces left = 70 - 28 = 42

Weight of pizza made :

Number of ounces left / number of Pizzas made

42 / 3 = 14

Hence, maximum weight of each pizza made will weigh more than 14 ounces

Answer:

75 ÷k number of squares based on the k value

Step-by-step explanation:

Let us suppose the ovals number be x

And, the square number be y

Now in the case when the ovals number is proportional to the square number

So, it would be defined as

x∝y

And,  

x = ky

Here k is the constant

Now  

If there are 75 ovals,

So, x = 75

Now put this in the above equation  

75 = kx

x = 75 ÷k

Answer:

$9 I think

Step-by-step explanation:

(hhhhhhhhaahahahahshshahahhaahaaaa

Answer:

$8.66 is rounded to $9

Step-by-step explanation:

When rounding a number, you round to the nearest whole number.

If the last digit is 5 or higher (5,6,7,8,9,) it rounds up

If the last digit is 4 or lower (1,2,3,4) it rounds down

Example:

$7.60 would be rounded to $8 because 6 is higher than 5, or in this case,  60 is higher than 50

$4.40 would be rounded to $4 because 4 is lower than 5, or in this case,  40 is lower than 50

Answer:

no

Step-by-step explanation:

if you solved for 'y' you get y = -2/3x + 8 which means the y-intercept is 8 and in order for it to be proportional the y-intercept must be zero

Answer:

4th one

Step-by-step explanation:

just do it. i know im right

Answer:

x+4=y+x

Step-by-step explanation:

Answer:

the diameter is 6 units

Step-by-step explanation:

3×2=6

Answer:

the height of the rail train is 15.3 feet

Step-by-step explanation:

The computation of the height of the rail train is given below:

= Height of the model train ÷ 2 cm × real train

= 10.2 cm ÷ 2 cm × 3 feet

= 15.3 feet

Hence, the height of the rail train is 15.3 feet

We basically applied the above formula in order to get the height of the rail train