Write an expression to represent the following:

Answer:

Solution given:

x=2

y=3

The requried solution to the pair of equations is (2, 3).

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,

Part A: To solve the pair of equations graphically, we need to plot both equations on the same coordinate plane. To plot each equation, we can use the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

For the equation y = 2x - 1, the slope is 2 and the y-intercept is -1. For the equation y = 4x - 5, the slope is 4 and the y-intercept is -5. We can plot these two lines on the same coordinate plane and find their intersection point.

Part B: We can find this point by setting the two equations equal to each other and solving for x:

2x - 1 = 4x - 5

Subtracting 2x from both sides, we get:

-1 = 2x - 5

Adding 5 to both sides, we get:

4 = 2x

Dividing by 2, we get:

x = 2

Now that we have found the value of x, we can substitute it into either equation to find the value of y. Using the equation y = 2x - 1, we get:

y = 2(2) - 1

y = 3

Therefore, the solution to the pair of equations is (2, 3).

Learn more about simultaneous equations here:

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Answer:

2/10 .02

Step-by-step explanation:

Answer:

scale factor = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, that is

[tex]\frac{QP}{KJ}[/tex] = [tex]\frac{8}{16}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

30-3=27

Step-by-step explanation:

Finding the deviation of this is pretty simple

1) Find the mean

By finding the mean, you add the numbers together, and divide the sum by the number of numbers, in this case there are 10 numbers, so divide by 10

2) Subtract the data value, basically adding all of the numbers up, and subtracting it by 3, the mean.

the number sets:

3,1,5,5,2,3,2,3,4,2

mean=

30/10

by finding this, i added the numbers and divided it by the amount of numbers.

This would equal to 3.

Now, all you have to do is subtract 3 from the data value

The data value is 30, subtracted by 3 would be 27

Sorry if I am wrong, I am just 4th grade :(

I am sure I am right, but in case it IS wrong, use the formula in the explanation :)

I might've gotten it wrong because the numbers were unclear, but I think it is correct:)

Answer: 1

Step-by-step explanation:

3+1+5+5+2+3+2+3+4+2= 30

30/10 =3

3 - 3 =0

3 - 1 = 2

3 - 5 =2

3 - 5 =2

3 - 2 = 1

3 - 3 =0

3 - 2 = 1

3 - 3 = 0

3 - 4 = 1

3 - 2 = 1

0+2+2+2+1+0+1+0+1+1

10/10 is 1

Answer:

The width should be 9 feet in this situation

Step-by-step explanation:

(30 x 2) + (9 x 2) =

60 + 18 =

78 ft

Or

78 - (30 X 2) =

78 - 60 =

18 / 2 =

9

Answer:

OPTION A

SEE IMAGE FOR SOLUTION

Hope it helps

Have a great day

Area of a circle formula: area = pi x r^2

R is the radius which is 1/2 the diameter.

The diameter is 4 yards so the radius is 4/2 = 2 yards.

Area = 3.14 x 2^2

Area = 12.56 square yards.

Answer:

Explanation: Notice that if x is Real then x2≥0 , so x2+25 has no linear factors with Real coefficients

Answer:

B.

Step-by-step explanation:

A- 12 + 5 = 17 (Cannot be the same)

B- 10 + 15 = 25 (More than the 3rd side) ✅

C- 9 + 11 = 20 (Cannot be less than the 3rd side)

D- 7 + 6 = 13 (Cannot be less than the 3rd side)

Answer:

84.823 in.³

Step-by-step explanation:

V = πr²[tex]\frac{h}{3}[/tex]

84.823 in.³

Answer:

inner circle is 44ft and outer circle is 3ft

Answer:

48 1/4 packages

Step-by-step explanation:

Answer:

the brown rice is cheaper by the ounce than the white.

Step-by-step explanation:

Find the unit cost in each case.

Brown rice:

 79 cents

----------------- = $0.049/oz

  16 ounces

White rice:

 $3.49

----------------- = $0.109/oz

32 ounces

The brown rice, at 4.9 cents/oz, is the better deal against the competition, 10.9 cents/oz.

Answer:

2(x - 9.46)(x + 2.54)

Step-by-step explanation:

2(x² - 12x + 24)

since there are no factors that multiply to 24 and add to -12 then i used the quadratic formula to get:

6+2[tex]\sqrt{3}[/tex], 6-2[tex]\sqrt{3}[/tex]

Focus on triangle QAC. We're given that CQ = CA, which in turn means the angles opposite these sides (angles A and Q in that order) are congruent. This is one property of isosceles triangles. Let's make x equal to each of these angles.

With inscribed angle QAC = x, it doubles to 2x which is the measure of minor arc BC (inscribed angle theorem). Minor arc AB is also 2x, since we're told these two arcs have the same measure.

If minor arc BC = 2x, then cutting this in half leads to x again, which points to inscribed angle BDC equal to x. Notice how inscribed angles QAC and BDC subtend the same minor arc BC. Through similar logic, inscribed angle BDA is also x.

In short: angle BDC = angle BDA = x. This leads to angle ADC = 2x. We'll use this later.

-------------------

Let's go back to triangle QAC. The angles A and Q are both x each. The missing angle C is...

Q+A+C = 180

x+x+C = 180

2x+C = 180

C = 180-2x

Making angle QCA equal to 180-2x

Angle ACD is supplementary to this.

So,

angle ACD = 180-(angle QCA) = 180-(180-2x) = 2x. We'll use this later as well.

---------------------

The first section concluded with angle ADC = 2x, while the second section concluded with angle ACD = 2x

For triangle ACD, the bottom angles C and D are both 2x. This is sufficient evidence to show that triangle ACD is isosceles. Furthermore, it means AC = AD, which are the sides opposite angles D and C respectively.

Answer: x = -3

Step-by-step explanation:

Answer:

$8

Step-by-step explanation:

Let the hourly rentals be x

Let the total fee be y

Initial Deposit $8

The expression for the total is given as

y= 8+x

But y= 2x-8

Therefore

2x-=8+x

Collect like terms

2x-x=8

x=8

Hence the hourly rate is $8

Answer:

C. (2,10)

Step-by-step explanation:

i used desmos to get the answer :/

Answer:

Vernier caliper

Step-by-step explanation:

The paper towel is circular in shape, should he use the ruler he may come up with a value but the value may not be accurate.

Hence the measuring instrument Justin should use is a vernier caliper, which is a measuring device that can be used to measure the external diameter of the roll of paper

Answer:

[tex]\theta=71.07^{\circ}[/tex]

Step-by-step explanation:

The given vector is :

v = -12i - 35j

We need to find the angle direction of v.

The general vector is given by :

v = xi+yj

The direction angle is :

[tex]\theta=\tan^{-1}(\dfrac{y}{x})[/tex]

We have, x = -12 and y = -35

So,

[tex]\theta=\tan^{-1}(\dfrac{-35}{-12})\\\\\theta=71.07^{\circ}[/tex]

So, the required direction angle is [tex]71.07^{\circ}[/tex].

Answer:

x ≈ 20.31

Step-by-step explanation:

By applying tangent rule in the given right triangle,

tan(55°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

Measure of the opposite side = 29 units

Measure of the adjacent side = x

Substitute these values in the expression,

tan(55) = [tex]\frac{29}{x}[/tex]

x = [tex]\frac{29}{tan(55)}[/tex]

x = 20.306

x ≈ 20.31

Answer: picture see the picture

Step-by-step explanation:

Answer:

$39

Step-by-step explanation:

60 x 0.39 = 21

60 - 21 = 39

Kayla bought a necklace on sale for $39.

Answer:

Dealership A

Step-by-step explanation:

Dealership A: 0 + 4 + 4 + 6 + 6 + 7 + 8 / 7 = 5 mean sales

Dealership B: 1 + 2 + 2 + 4 + 5 + 7 + 7 / 7 = 4 mean sales

Answer:

using Pythagoras theorem x=32.7

Answer:

21.7

Step-by-step explanation:

In order to solve this problem, we can use trig functions. We are given the side adjacent to the 37° given and we are looking for the hypotenuse. This means that cosine function is the most suitable. Cosine is written as:

cos(θ°) = adjacent / hypotenuse

We can substitute the values we have:

cos(37°) = 17.3 / x

And rewrite the expression:

x = 17.3 / cos(37°)

Then, use a calculator to evaluate:

x = 21.66194689

This can be rounded to 21.7

Answer:

D. 1,000

Step-by-step explanation:

Answer:

y is 107° and z is 36°

Step-by-step explanation:

73° and y are supplementary angles so they add up to 180°

Answer:

y = 107

z = 36

Step-by-step explanation:

We are given that line o is parallel to line m, and we can notice line k is a transversal through them both. Using same side interior angles, we can say that:

y + 73 = 180

and

y = 107

Next, using vertical angles, we can say that:

5z - 73 = y

We already have y = 107, so we can substitute that in:

5z - 73 = 107

5z = 180

z = 36