A rectangle has a perimeter of 60 inches and length of 22 what is the width of the rectangle

The solution is 8/7

The number which should by multiplied with 7/8 to get 1 is 8/7 or the reciprocal of the number

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be represented as = N

The value of n is given by

The number ( 7 / 8 ) x N = 1

On simplifying the equation , we get

( 7/8 ) x N = 1

Multiply by 8 on both sides of the equation , we get

7N = 8

Divide by 7 on both sides of the equation , we get

N = 8/7

Therefore , the number N is 8/7

Hence , the number is 8/7 or reciprocal of 7/8

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W=A/L................

2.5 inches...........

Answer:

Option B. g(x) - f(x) = 5x - 3x - 12

Step-by-step explanation:

In this question the given functions are

f(x) = 3x + 2

g(x) = 5x - 10

Now we have to calculate the value of g(x) - f(x)

g(x) - f(x) = (5x - 10) - (3x +2)

              = 5x - 10 - 3x - 2

              = (5x - 3x) - (10 + 2)

              = 5x - 3x - 12

Option B. (5x - 3x - 12) is the answer.

10 + x*12 = 12x+10

since the left side can be re-written as 12x+10 this does equal the right side

 so any real number ( any value of x ) will work

Answer: C shifted down :)

Answer:

it would be shifted down

Answer:

A(2,1)

Step-by-step explanation:

We are given that system of equation

[tex]x+3y=5[/tex]

[tex]x+4y=6[/tex]

We have to solve the system

Subtract equation first from equation second

Then, we get

[tex]y=1[/tex]

Substitute the value of y in equation I

Then, we get

[tex]x+3(1)=5[/tex]

[tex]x=5-3=2[/tex]

Hence, the option A is true.

Answer:A(2,1)

I believe the right answer would be 37.5

Final answer:

Using the binomial theorem, the coefficient of x⁷ in the expansion of (1 + x)¹¹ is found by calculating '11 choose 7', which is 330.

Explanation:

The coefficient of x⁷ in the expansion of (1 + x)¹¹ can be found using the binomial theorem. To find the coefficient of x⁷, we look for the term that comes from choosing x seven times in the expansion. This corresponds to the 8th term, because the terms are indexed from 0, where the binomial coefficient is found by calculating "11 choose 7" or C(11, 7).

To calculate "11 choose 7", use the formula:
C(n, k) = n! / [k!(n-k)!], which gives us:

C(11, 7) = 11! / [7!(11-7)!] = 11! / (7!4!) = (11×10×9×8) / (4×3×2×1) = 330

Therefore, the coefficient of x⁷ in the expansion of (1 + x)¹¹ is 330.

Each bag contained [tex]\(\frac{1}{3}\)[/tex] pint of blood.

To solve the problem, we need to divide the total amount of blood donated by Patricia equally into 3 bags. Patricia donated 1 pint of blood.  

Since there are 3 bags, we divide 1 pint by 3 to find out how much blood is in each bag. The division is straightforward:

[tex]\[ \frac{1 \text{ pint}}{3 \text{ bags}} = \frac{1}{3} \text{ pint per bag} \][/tex]

Therefore, each bag contains [tex]\(\frac{1}{3}\)[/tex] pint of blood. This is the simplest form of the fraction, and there is no need to convert it to a different unit or simplify it further. The answer is [tex]\(\frac{1}{3}\)[/tex] pint per bag.

The equation of line which is parallel to y = 5x + 2 and passing through (-6, -1) is y = 5x + 29. Then the correct option is A.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Identify an equation in slope-intercept form for the line parallel to y = 5x + 2 that passes through (–6, –1).

The slope of the parallel lines is the same.

Then the equation will be

y = 5x + c

And the line is passing through (-6, -1), then the value of c will be

-1 = 5(-6) + c

c = 30 - 1

c = 29

Then the equation of line which is parallel to y = 5x + 2 and passing through (-6, -1) is y = 5x + 29.

Then the correct option is A.

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Answer:

b

Step-by-step explanation:

Answer: 20 sit ups.

Step-by-step explanation: if tyrell does situps everyday on monday he does 4 sit ups and tuesday 8 situps wendsday 12 situps thursday 16 situps friday 20 situps all u do to solve is add 4 every day.

your welcome.

The value of 0 divided by 9 is 0, while the value of 3 divided by 0 is undefined because division by zero does not result in a finite number in mathematics.

The expressions presented here involve division, a basic operation in mathematics. Let's evaluate each one respectively.

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Answer: divide by -4

Step-by-step explanation:

THE ANSWER IS: PLEASE MARK AS BRAINLIST

The water level in a tank measures 9 inches and is rising 13 of an inch every minute.

How many minutes, x, will it take for the water level to measure 15 inches deep?

David's original weight was 182 pounds, as we determined by retracing his weight changes in reverse order.

To find out how much David originally weighed, we need to work backwards from his ending weight, taking his weight changes into account. Currently David weighs 177 pounds. However, before gaining the last 4 pounds, he would have weighed 177 - 4 = 173 pounds.

Going back further, before losing 25 pounds, he would have weighed 173 + 25 = 198 pounds. Finally, before David gained 16 pounds over the winter, his original weight would have been 198 - 16 = 182 pounds.

So, David's original weight was 182 pounds.

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Answer:

The given  expression [tex]-\left(4\right)^{-2}[/tex] becomes [tex]-\frac{1}{16}[/tex]

Step-by-step explanation:

Given :   Expression [tex]-\left(4\right)^{-2}[/tex]

We have to write the simplified form of the given expression [tex]-\left(4\right)^{-2}[/tex]

Consider the given  expression [tex]-\left(4\right)^{-2}[/tex]

Apply exponent rule , [tex]\:a^{-b}=\frac{1}{a^b}[/tex]

[tex]4^{-2}=\quad \frac{1}{4^2}[/tex]

[tex]\frac{1}{4^2} =\frac{1}{16}[/tex]

Thus, The given  expression [tex]-\left(4\right)^{-2}[/tex] becomes [tex]-\frac{1}{16}[/tex]

The equation 2xy = -8 is a rectangular hyperbola which is an example of the function.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

When the transverse and conjugate axes of a hyperbola are both the same length, the diagnosis and appropriate are said to be rectangular.

The equation is given below.

2xy = -8

Separate the variable 'y', then we have

2xy = -8

xy = -4

y = -4/x

The equation 2xy = -8 is a rectangular hyperbola which is an example of the function.

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Final answer:

To find the different ways of choosing a panel of 12 jurors and 2 alternates from 17 prospective jurors, calculate the combinations separately (C(17, 12) for jurors and C(5, 2) for alternates) and multiply them, yielding a total of 61,880 different ways.

Explanation:

The question asks in how many different ways a panel of 12 jurors and 2 alternates can be chosen from a group of 17 prospective jurors. To solve this, we use the concept of combinations in mathematics. Since the order in which we select the jurors and alternates does not matter, we are dealing with combinations, not permutations.

First, we choose the 12 jurors from the 17, which is the combination of 17 taken 12 at a time. This can be calculated using the formula for combinations:
C(n, k) = n! / (k! * (n - k)!),
where 'n' is the total number of items, 'k' is the number of items to choose from, and '!' denotes factorial.

For the 12 jurors, we compute C(17, 12) which equals 17! / (12! * (17 - 12)!) = 17! / (12! * 5!) = 6188.
Next, we need to choose 2 alternates from the remaining 5 jurors. The calculation is C(5, 2) which equals 5! / (2! * (5 - 2)!) = 5! / (2! * 3!) = 10.

Since choosing jurors and alternates are independent events, we multiply the two combinations to get the total number of different ways to choose the panel:

6188 (ways to choose jurors) * 10 (ways to choose alternates) = 61,880 different ways.

ACB would be half of AOB

80/2 = 40

 answer is D 40 degrees

Answer:

Option C. AC = 14 units

Step-by-step explanation:

In the given triangle ABC shown in the figure ∠ABC = ∠ACB

Since angles are equal so opposite sides of equal angles will be equal.

Now mAB = mAC

By putting values in terms of x

2x = 3x - 7

x = 7

Now mAC = 3x - 7

By putting value of x = 7

mAC = 3×7 - 7 = 21 - 7 = 14

Therefore length of line segment AC is 14 units.

Answer: The correct options are,

x+y < 30

y ≥ 12

Step-by-step explanation:

Here, x represent the number of small cones and y represent the number of large cones.

∵ Large cones are at least 12,

⇒ y ≥ 12,

Now, total cones = x + y

∵ There are fewer than 30 cones,

I.e.  x + y < 30,

Now, number of cones can not be negative,

⇒ x, y ≥ 0

Answer:

$190.38 per week

Step-by-step explanation:

45,000 x .22 (the tax) is 9,900

9,900 / 52 (weeks in a year) is 190.384

Rounded, your answer is $190.38 per week