x+b=ax+c make x the subject

Answer:

$7.99 each

Step-by-step explanation:

Divide the package price by the package units to get your answer.

(23.97 / 3 = 7.99)

Info given

We have the following number given 70.538 and we want to round to the nearest hundredth

Solution

For this problem we just need to round with 2 decimals after the decimal point and we can see that the best answer is:

And we can conclude this because 8>5 and for this we round 3 to 4

Step-by-step explanation:

step 1. (13x + 8) + (2x + 7) = 180 (definition of same side interior angles)

step 2. 15x + 15 = 180 (like terms)

step 3. 15x = 165 (subtract 15 from each side)

step 4. x = 11. (divide both sides by 15)

Answer:

D : reflection over the y-axis followed by a translation to the right one unit

Answer:

-4.6 is 1.4 units from ​−3.2​ on a number line.

-1.8 is 1.4 units from ​−3.2​ on a number line.

Step-by-step explanation:

Hope this helped! :D

The correct option is D which is -4.6 will be 1.4 units from ​−3.2​ on a number line.

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R." It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

Given that there are two numbers -3.2 and -4.6 on the line. The distance between the numbers will be calculated as below:-

-4.6 is 1.4 units from ​−3.2​ on a number line. -1.8 is 1.4 units from ​−3.2​ on a number line. The image of the number line is attached with the answer below.

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Answer:

57 m

Step-by-step explanation:

87-30=57

Answer:

(40,30)

Step-by-step explanation:

This is when the prices are the same so they cross on the graph.

Answer:

C

Step-by-step explanation:

We want to find the ordered pair that estimates the time and cost at which the two stores charge the same amount

If the graph shows the two stores times and amount charged then wherever the two lines intersect is where the time and amount charged is the same

The two lines intersect at (40,30)

Hence the answer is C

Answer:

360

Step-by-step explanation:

3 times 120

Answer:

The value of b is 21

Step-by-step explanation:

29=√20^2+b^2

or, 29=√400+b^2

or, 841=400+b^2

or, 841-400=b^2

or, √441=b

b=21

Answer:

Step-by-step explanation:

(CAB) = (ZXY)

(ABC) = (ZYX)

=>  ∆ABC ~ ∆XYZ

Answer:

A

Step-by-step explanation:

since the radius is 12, the most the circle expands out towards is 15 for x and 15 for y. (-6,-5) easily fits inside it.

Answer

D. Angle 8

Step-by-step explanation:

9514 1404 393

Answer:

  y = -3/4x -1

Step-by-step explanation:

The given equation is in the slope-intercept form, which lets you see that its slope is 4/3.

The slope of the perpendicular line will be the negative reciprocal of this:

  -3/4

Then the slope-intercept form equation will be ...

  y = -3/4x +b . . . . . . for some b

We can find the value of b that makes the line go through (4, -4) by using those values in this equation.

  -4 = -3/4(4) +b

  -4 +3 = b . . . . . . . . add 3

  -1 = b

Then the equation you're looking for is ...

  y = -3/4x -1

Distance from the summit of Mount Everest to the horizon, Rounded to the nearest mile, the distance from the summit of Mount Everest to the horizon is 210 miles.

Distance refers to the space between two points or the length of a line between them. It may also refer to a range, extent, or magnitude that separates one point from another. Distance may be a physical concept, such as the distance between two cities or the distance traveled by a moving object.

The distance between two points can be calculated using a number of mathematical techniques, including the Pythagorean theorem, the distance formula, and vector addition.

d = √(2Rh + h²)

where d is the distance to the horizon, R is the radius of the Earth (4000 miles), and h is the height of the observer (in this case, the height of the summit of Mount Everest, which is 29,030 feet).

We need to convert the (h) height of the summit to miles:

29,030 ft = 29,030/5280 miles ≈ 5.49 miles

Now we can plug in the values and solve for d:

d = √(2 × 4000 × 5.49 + 5.49^2) =209.64288 ≈ 210 miles

Therefore, the distance from the summit of Mount Everest to the horizon is approximately 210 miles when rounded to the nearest mile.

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Answer:

Only Use addition or subtraction if the unknown variable is alone and not combined with a Number .

EXPLANATION :

Given step 1 to be =

4x = 28

Following the third law,

The correct solution would have been

Divide both sides of the equation by 4

x = 7

Step-by-step explanation:

"A General Rule for Solving Equations

Answer:

She needs to divide both sides of the equation by 4, and then end up with x =7

Step-by-step explanation:

Got it right on flvs test, plus...

Two steps that will complete the list correctly are:

4. The original measurement should be multiplied by the conversion factors.

5. Verify that it makes sense.

A conversion factor can be used to switch from one set of units to another by multiplying or dividing a number. When a conversion is necessary, the appropriate conversion factor to an equivalent value must be applied.

Let's use an example of converting from inches to centimeters to address this query.

10 inches should be converted to cm.

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Answer:

AD=7

Step-by-step explanation:

The opposite sides of the parallelogram are equal

AD=BC

BC=7

AD=7

As per the given equation, the length of the arc of the curve from point p to point q is 1.8973

Here we have given the equation y = 1/2 x².

Then the the length of the arc of the curve from point p to point q is calculated by using the formula,

=> \(\int\limits^q_p {\sqrt{1+(\frac{dy}{dx} )^2} } \, dx\)

Here we have to extract the value of (x1, x2) from the given coordinates, then we get,

=> (x1, x2) = (-3, 3)

Now, we have to find the derivative of y, then we get he value as,

=> dy/dx = x

So, the length is calculated as,

=> \(\int\limits^3_{-3} {\sqrt{1+x^2} } \, dx\)

As per the power rule of derivative, then reduced form of the equation is written as.

=> [x/√x²+1]₋₃³

When we apply the value of x as the given limit, then  we get,

=> [3/√3²+1] - [(-3)/√(-3)²+1]

=> [3/√10] + [3/√10]

=> 6/√10

=> 1.8973

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Answer:

it is 42 pounds of beans that Malcolm has

240=w+369

w = -129

(moving)

The equation for the line passing through the point (3, -3) with a slope of -4 is y = -4x + 9.

To find an equation for the line that passes through the point (3, -3) and has a slope of -4, we can use the point-slope form of a linear equation:

y - y₁ = m(x - x₁)

where (x₁, y₁) represents the given point and m represents the slope.

Substituting the given values, we have:

y - (-3) = -4(x - 3)

Simplifying the equation:

y + 3 = -4x + 12

Rearranging the terms to obtain the equation in slope-intercept form (y = mx + b):

y = -4x + 9

Therefore, the equation for the line passing through the point (3, -3) with a slope of -4 is y = -4x + 9.

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We can conclude that there are no nontrivial clean pulsations for the given left-mounted beam with a simple support on the right.

To find the equation of clean pulsations for a left-mounted beam with a simple support on the right, we can use the differential equation that describes the deflection of the beam. Assuming the beam is subject to a distributed load and has certain boundary conditions, the equation governing the deflection can be written as:

d^2y/dx^2 + (chx)^2 * y = 0

Where:

y(x) is the deflection of the beam at position x,

d^2y/dx^2 is the second derivative of y with respect to x,

ch(x) is the hyperbolic cosine function.

To solve this differential equation, we can assume a solution in the form of y(x) = A * cosh(kx) + B * sinh(kx), where A and B are constants, and k is a constant to be determined.

Substituting this assumed solution into the differential equation, we get:

k^2 * (A * cosh(kx) + B * sinh(kx)) + (chx)^2 * (A * cosh(kx) + B * sinh(kx)) = 0

Simplifying the equation and applying the given identity (chx)^2 - (shx)^2 = 1, we have:

(A + A * chx^2) * cosh(kx) + (B + B * chx^2) * sinh(kx) = 0

For this equation to hold for all values of x, the coefficients of cosh(kx) and sinh(kx) must be zero. Therefore, we get the following equations:

A + A * chx^2 = 0

B + B * chx^2 = 0

Simplifying these equations, we have:

A * (1 + chx^2) = 0

B * (1 + chx^2) = 0

Since we are looking for nontrivial solutions (A and B not equal to zero), the expressions in parentheses must be zero:

1 + chx^2 = 0

Using the identity (sinx)^2 + (cosx)^2 = 1, we can rewrite this equation as:

1 + (1 - (sinx)^2) = 0

Simplifying further, we get:

2 - (sinx)^2 = 0

Solving for (sinx)^2, we find:

(sin x)^2 = 2

Since the square of the sine function cannot be negative, there are no real solutions to this equation. Therefore, we can conclude that there are no nontrivial clean pulsations for the given left-mounted beam with a simple support on the right.

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Answer:

see image

Step-by-step explanation:

Answer:

1.5 or 1 ½ pages per min

Step-by-step explanation:

7.5/5=1.5

She reads 1 ½ pages per min

Answer: 1.5 pages per minute

Step-by-step explanation:

Divide the total number of pages she read by 5, the amount of time it took her. So it should look like this: 7.5/5

The answer is 1.5 pages per minute.

Answer:The angle measures associated with the ordered pairs (441, -5), (13, 1), and (1, 73) share the same reference angle.

Step-by-step explanation:

To determine the reference angle, we need to convert the given angles to their corresponding angles within the range of 0 to 360 degrees (or 0 to 2π radians).

For the ordered pair (441, -5), we can use the inverse tangent function to find the angle: atan(-5/441) ≈ -0.068 degrees.

Similarly, for the ordered pair (13, 1), the angle is atan(1/13) ≈ 4.564 degrees.

Lastly, for the ordered pair (1, 73), the angle is atan(73/1) ≈ 88.476 degrees.

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The value of x if the angles are congruent angles is 4

From the question, we have the following parameters that can be used in our computation:

(5x+2)° (4x+6)°

Assuming the angles are congruent angles

Then we have

(5x+2)° = (4x+6)°

Remove the bracket and the degree sign

So, we have

5x + 2 = 4x + 6

When the like terms are evaluated, we have

x = 4

This means that the value of x is 4

Note that the condition is that the angles (5x+2)° and (4x+6)° are congruent angles

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The dot product of vectors a and b  || a |= 6,|| b ||= 4 and the angle between the vectors θ = π/3 is (c) 12.

The dot product of two vectors, we can use the formula:

a · b = ||a|| ||b|| cos(theta)

where ||a|| and ||b|| represent the magnitudes of vectors a and b, respectively, and theta is the angle between the vectors.

In this case, we are given that ||a|| = 6, ||b|| = 4, and the angle between the vectors is theta = π/3.

Substituting these values into the formula, we have:

a · b = 6 × 4 × cos(π/3)

To evaluate cos(π/3), we can use the fact that it is equal to 1/2. So we have:

a · b = 6 × 4 × 1/2

= 12

Therefore, the dot product of vectors a and b is 12.

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Answer:

absolute value will always be greater than or equal to 0.

A. m∠1 = 45° because m∠1 and the angle measuring 135° are supplementary angles

B. m∠2 = 95° because m∠2 and the angle measuring 95° are vertical angles

C. m∠3 = 40° because m∠1, m∠2, and m∠3 form a triangle.

When a transversal line intersects a pair of parallel lines, several angles are formed which includes: Corresponding angles, vertical angles, alternate angles, complementary and supplementary angles.

m∠1 + 135° = 180° {supplementary angles}

m∠1 = 180° - 135°

m∠1 = 45°

m∠2 and 95° are vertical angles thus they are equal so;

m∠2 = 95°

m∠1 + m∠2 + m∠3 = 180° {sum of interior angles of a triangle}

45° + 95° + m∠3 = 180°

140° + m∠3 = 180°

m∠3 = 180° - 140°

m∠3 = 40°

In conclusion:

A. m∠1 = 45° because m∠1 and the angle measuring 135° are supplementary angles.

B. m∠2 = 95° because m∠2 and the angle measuring 95° are vertical angles

C. m∠3 = 40° because m∠1, m∠2, and m∠3 form a triangle.

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