When the left side and right side are not equal, the equation is unbalanced. this means the equation is________

Answer:

43

Step-by-step explanation:

first we do 35/5=7 then 18-7=11. then 4*8=32. 32+11=43

Answer:

C. 43

Step-by-step explanation:

1. 35 ÷ 5 = 7

2. 4 x 8 = 32

3. 18 - 7 = 11

4. 11 + 32 = 43

Therefore the answer, is C. 43.

You're welcome! :)

Answer:

y= 2/3x

Step-by-step explanation:

Hi, the slope-intercept would be y= 2/3x. This is because the city receives 4 inches of snow every 6 hours. 4/6 simplified is 2/3.

The rental cost for each movie is $2.25 and rental cost for each video game is $5.25.

Several equations that are solved simultaneously are referred to as simultaneous equations.

Due to the possibility of simultaneously or concurrently determining the solutions to the variables, simultaneous equations are also known as systems of equations.

Movies Video Games Total Cost

First month 5 3 $27.00

Second month 2 6 $36.00

Let's say that the price per movie is $x and the price per video game is $y.

Equations:

5x + 3y = 27... Equation 1

2x + 6y = 36... Equation 2

Multiply Equation 1 by 2:

10x + 6y = 54... Equation 3

Subtract Equation 2 from Equation 3:

10x + 6y = 54 -(2x + 6y = 36)

8x = 18

x = 2.25

= $2.25

To find y, substitute x = $2.25 in equation 1.

5x + 3y = 27

5(2.25) + 3y = 27

11.25 + 3y = 27

3y = 15.75

y = 5.25

y = $5.25

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The complete question is

One month Ahmad rented 5 movies and 3 video games for a total of $27. The next month he rented 2 movies and 6 video games for a total of $36. Find the rental cost for each movie and each video game.

If on  Monday Tom work for 11 extra hours the total amount of money that tom made on Monday is £885.

As per the given data, the extra money he earns can be calculated as,

= [(11 - 7) × 15] × 13 + (7 × 15)]

= (4 × 15 × 13) + 105

= 780 + 105

= £885

Therefore, the amount of money  is £885.

Time and work are concerned with how long it takes a person or a group of people to finish a task and how well each of them completes it.

Indirect proportion is related to time and work. In both directions, when one quantity rises, the other falls, and vice versa. It takes less time to finish the same amount of work when people work more hours.

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On solving the provided question, we can say that by unitary method 8 pints of apple juice does she need for 2 cups of cinnamon candy

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

Paula is brewing hot apple cider with cinnamon caramel and apple juice.

her recipe calls for = 0.5 cups of cinnamon

candy for every = 2 pints of apple juice

she need for 2 cups of cinnamon candy are -

for 1 = she need 2/0.5

for 2 = she needs  2/0.5 * 2 = 8

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Answer: 2 3/10 hope this helps :)

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

It would be 2 because it cant have a decimal.2.3 would be a rational number

Answer:

Step-by-step explanation:

Starting with ...

  I = V/R

Multiply by R to find V:

  IR = V

The equation is ...

  V = I·R

__

Using the given values for I and R, we have ...

  V = (2)(6)

  V = 12 . . . required voltage (volts)

The probability of the result is 11/21.

A combination is a selection of all or a portion of a group of items, regardless of the sequence in which the items are chosen.

Ray has 4 even numbered cards and 5 odd numbered card.

Ray takes at random three of these cards.

Let, all the three cards are even numbered card.

So, the sum of even numbers is even.

Suppose, two cards are odd numbered and one card is even numbered.

And the combination of 2 odd numbered card and one even numbered card is even.

Now, the possible outcomes;

= {C³₄ + C¹₄C²₅} / C³₄

In order to solve the combination:

Simplify,

{C³₄ + C¹₄C²₅} / C³₄

= [ 3! / {4! x (4-3)!} + 1!/{4! x (4-1)!} x 2!/{5! x (5-2)!} ] / [3! / 4!x (4-3)!]

= 11/21

Therefore, the probability is 11/21.

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Since a reflection flips the figure across average line and changes the figure's orientation, it does not maintain congruence.

In order to produce a new figure on a coordinate grid, a figure must undergo a transformation. When two figures are congruent, their size and shape match. A transformation that doesn't alter the figure's size or shape maintains congruence. Congruence is lost through the usual change of reflection. This is such that the figure's orientation is altered by flipping it over a line. For instance, if a figure is mirrored over the x-axis, the initial orientation of the figure will be reversed. This is because the reflection operation flips the figure over the x-axis, causing the orientation to be reversed. Other transformations that do not preserve congruence include enlargement and rotation. Enlargement and rotation both change the size and orientation.

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Answer:

The expression would be 13x = y

Step-by-step explanation:

x= number of hours

y= how much money he has after x hours.

Answer:

3.625

Step-by-step explanation:

29÷8=3 R5

5÷8=0.625

3+0.625=3.625

Answer:

Part A: 6

Part B: 3

Step-by-step explanation:

trust me.

Answer:

6 seconds

After 3 seconds

Step-by-step explanation:

h(t) =-16t^2+96t

a=-16

b=96

c=0

96/2(-6) =3

Max = 3

(0,)

(6,0)

ht/t  = 16t^2+96/t

If Aliyah's position is less than 1.79 kilometers, then Diego is in front of Aliyah.

If Aliyah's position is greater than 1.79 kilometers, then Diego is behind Aliyah.

To determine if Diego is behind or in front of Aliyah at 3:00 PM, we need to simply the function

Then, we have that g(t) at t = 0 represents 3:00 PM and compare it with Aliyah's position.

For Diego, when t = 0

Substitute the values, we have;

g(0) = 1.59 + 0.2 + 0.01(0²)

expand the bracket, we have;

g(0) = 1.59 + 0.2 + 0

g(0) = 1.79 kilometers

Note that no information was given about Aliyah's position.

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Using it's concept, it is found that the probability that the card is a diamond or a face card is given by:

D. 25/52

A probability is given by the number of desired outcomes divided by the number of total outcomes.

A standard deck has 52 cards, of which 13 are diamond and 12 are face, hence:

p = (13 + 12)/52 = 25/52.

Which means that option D(25/52) is correct.

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The combined present worth of the costs associated with the proposed bridge design is $9,583,333.

This value is obtained by calculating the present worth of both the construction cost and the annual operating cost over an infinite life of the bridge, considering a MARR (Minimum Attractive Rate of Return) of 12%.

To determine the present worth, we use the formula:

PW = A / (1 + i)^n

Where PW is the present worth, A is the annual cost, i is the interest rate, and n is the number of years.

For the construction cost, we have a one-time expense of $9,000,000. Since it is a single payment, the present worth is equal to the construction cost itself.

For the annual operating cost, we need to calculate the present worth over an infinite life. Using the formula above, we divide the annual cost of $700,000 by the MARR of 12% to obtain $5,833,333.33. Thus, the combined present worth is the sum of the construction cost and the present worth of the annual operating cost, resulting in $9,000,000 + $5,833,333.33 = $9,583,333.

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The value where the histogram balances when supported at that point is called the mode of the distribution.

The mode of distribution is the value that appears most frequently in the data set. It is often used as a measure of central tendency, along with the mean and median. The mode is especially useful when dealing with categorical or discrete data, where the possible values are limited and well-defined.

For example, the mode of a list of test scores might be the score that occurs most frequently, indicating the most common level of performance. In a histogram, the mode is the value where the distribution is highest, or where the histogram balances when supported at that point.

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Answer:

32 people got off

Step-by-step explanation:

For the 10th stop, we can get the total number of people that have gotten off

Mathematically, this is the product of the mean and the number of stops

= 10 * 6.3 = 63 people

Now, for the 11th stop, the total becomes

11 * 8.6 = 94.6

Hence;

(94.6-63) = 31.6

since there are no fractional humans, the number of people getting off is 32

The linear function f is y = f(x) = (-3/2)x+b, with f(-9) = 10 and f(-1)=-2.

The value of the steepness or the direction of a line in a coordinate plane is known as the slope of a line, often known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope can be determined using a variety of techniques.

The formula for slope between two points (x₁, y₁) and (x₂, y₂) is,

m = (y₂ - y₁)/(x₂ - x₁)

The given values are,

f(-9) = 10 and f(-1) = -2.

The given  coordinates are (-9, 10)  and (-1, -2)

Let the linear function is,

y= mx+b    (1)    

To find the linear function,

Find the slope

m = -2 - 10 / -1 - (-9)

m = -12 / 8

m = -3 / 2.

Substitute the value of m in equation (1),

y=(-3/2)x+b

To find the value of b, substitute y = -2,

-2=(-3/2)(-1)+b

b=-7/2

The required linear function is,

y=(-3/2)x -7/2

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Answer:

angle AOC=85

also

angle AOC = angle AOB + Angle BOC

85= 2x+10+4x-15

or, 6x= 90

x=15

BOC=2x+10= 2*15+10=40

angle AOB = 4x-15=4*15-10=5=45

Answer:

0

Step-by-step explanation:

Because (0,2), when you go up 5 and right 1, you get (1,7)

Answer:

The answer is 0

when you go up five and to the right once, you will get (1,7)

Step-by-step explanation:

can you please explain it more clearly

Step-by-step explanation:

The cross product assuming that u×v=⟨7,6,0⟩.(u−7v)×(u+7v) is                ⟨-49, -7u_2 + 6u_3, -7u_3 + 6u_2⟩.

The cross product of two vectors using the distributive property:

(u - 7v) × (u + 7v) = u × u + u × 7v - 7v × u - 7v × 7v

Also, cross product is anti-commutative. Specifically, the cross product of v × w is equal to the negative of the cross product of w × v. So, we can simplify the expression as follows:

(u - 7v) × (u + 7v) = u × 7v - 7v × u - 7(u × 7v)

Now, using u × v = ⟨7, 6, 0⟩ to evaluate the cross products:

u × 7v = 7(u × v) = 7⟨7, 6, 0⟩ = ⟨49, 42, 0⟩

7v × u = -u × 7v = -⟨7, 6, 0⟩ = ⟨-7, -6, 0⟩

Substituting these values into the expression:

(u - 7v) × (u + 7v) = ⟨0, 7u_2 - 6u_3, 7u_3 - 6u_2⟩ - 7⟨7, 6, 0⟩ - 7⟨-7, -6, 0⟩

= ⟨0, 7u_2 - 6u_3, 7u_3 - 6u_2⟩ - ⟨49, 42, 0⟩ + ⟨49, 42, 0⟩

= ⟨-49, -7u_2 + 6u_3, -7u_3 + 6u_2⟩

Therefore, (u - 7v) × (u + 7v) = ⟨-49, -7u_2 + 6u_3, -7u_3 + 6u_2⟩.

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Answer:

1) x = 208     2) n = 28

Hope this helps! Have a great day!!

Step-by-step explanation:

1)

x  -  72  =  136

    +  72      +72

x             =    208

2)

 n  -  10  =  13  +  5

 n  -  10  =  18

       +10       +10

        n      =  28

First off we will use our definitions so you know what do to next time and make it easier,

Algebra - the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

_______________

Now we can start!

\(\huge\blue{\mid{\fbox{\tt{NUMBER\:ONE}}\mid}}\)

Add 72 to both sides,

Answer : \(x=208\)

\(\huge\blue{\mid{\fbox{\tt{NUMBER\:TWO}}\mid}}\)

Simplify ⇒ \(13+5\) ⇒ \(18\)

Add 10 to both sides

Answer : \(n=28\)

a. There is a 0.6827 percent chance that the random variable will take on a value between 45 and 55. b. There is a 0.9545 percent chance that the random variable will take on a value between 40 and 60.

a. To find the probability that the random variable will assume a value between 45 and 55, we need to calculate the z-scores for each value and then use a standard normal distribution table or calculator.

The z-score for 45 is:

\(z = (45 - 50) / 5 = -1\)

The z-score for 55 is:

\(z = (55 - 50) / 5 = 1\)

Using a standard normal distribution table or calculator, we find the probability of the random variable assuming a value between 45 and 55 is:

P(-1 < Z < 1) = 0.6827 (to 4 decimals)

As a result, there is a 0.6827 percent chance that the random variable will take a value between 45 and 55.

b. To find the probability that the random variable will assume a value between 40 and 60, we again need to calculate the z-scores for each value and then use a standard normal distribution table or calculator.

The z-score for 40 is:

\(z = (40 - 50) / 5 = -2\)

The z-score for 60 is:

\(z = (60 - 50) / 5 = 2\)

Using a standard normal distribution table or calculator, we find the probability of the random variable assuming a value between 40 and 60 is:

P(-2 < Z < 2) = 0.9545 (to 4 decimals)

Hence, there is a 0.9545 percent chance that the random variable will take on a value between 40 and 60.

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Given data:

The given graph of the polynomial.

The value of the given polynomial is zero, at x=-3, -1, and 3.

Substitute -3 for x in the expression of the first polynomial.

Substitute -1 for x in the expression of the first polynomial.

Substitute 3 for x in the expression of the first polynomial.

As all the points are satisfied for the first option.

TThus, the first option is correct.

An exponential function with a vertical stretch by a factor of 2 and a translation left 1 unit and up 2 units is given as follows:

y = 2(2)^(x + 1) + 2.

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

A vertical stretch by a factor of k means that the definition of the function is multiplied by k.

The parent function in the context of this problem is given as follows:

y = 2^x.

Hence the exponential function with a vertical stretch by a factor of 2 and a translation left 1 unit and up 2 units is given as follows:

y = 2(2)^(x + 1) + 2.

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Answer:

The Probability = 0.16

Step-by-step explanation:

Empirical rule formula states that:

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

Average = 13.1 years

Standard deviation = 1.5 years

x = 14.6 years

= 14.6 -13.1/1.5

= 1

This falls within 1 standard deviations of the mean

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

Hence:

100 - 68%/2 = 32/2 = 16%

Converting to probability = 0.16

The probability of a meerkat living longer than 14.6 years is 0.16

Answer:

Use the empirical rule (68 - 95 - 99.7\%)(68−95−99.7%)left parenthesis, 68, minus, 95, minus, 99, point, 7, percent, right parenthesis to estimate the probability of a meerkat living longer than 14.614.614, point, 6 years.

16%

The height of the building is approximately 125 feet to the nearest foot.

What is angle of incidence?

The angle of incidence is the angle formed by a ray of light or other wave as it approaches a surface, and a line perpendicular to that surface (known as the normal). It is the angle between the incident ray and the normal

We can use trigonometry to solve this problem. Let's assume the height of the building "h".

First, we need to find the distance between the man's eye level and the ground. We can use tangent function:

tan(85°) = h / 20

Solving for h, we get:

h = 20 * tan(85°)

h ≈ 125.36 feet

Therefore, the height of the building is approximately 125 feet to the nearest foot.

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The expression equivalent to -7(y - 2) is -7y + 14

Given the expression; -7(y - 2)

We expand the expression by multiplying each element inside the parentheses the element out i.e -7

-7(y - 2)

[ -7 × y and -7 × -2 ]

-7y + 14

Therefore, the expression equivalent to -7(y - 2) is -7y + 14.

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