14. A rectangular dog pen is 6 feet longer than the width. The perimeter of the pen is 48 ft. Find the length
and the width of the pen.

Answer:

x is 20

Step-by-step explanation:

3x-14=46

3x=60

x=20

Answer:

20

Step-by-step explanation:

3x-14=46 (shifting -14 to right side)

3x=46+14

3x=60

x=60/3

x=20

plz mark brainliest

Answer:

B. Y = 6/4 X

Step-by-step explanation:

Well to find its parallel line we need to put,

2y - 3x = 4 into slope-intercept.

+3x to both sides

2y = 3x + 4

Now we divide everything by 2,

y = 3/2x + 2

So a line that is parallel to the given line will have the same slope but different y intercept, meaning we can cross out choices A and C.

To check look at the image below ↓

Thus,

answer choice B. Y = 6/4 X is correct.

Hope this helps :)

Answer: 18 candy bars

5 bags of chips

Step-by-step explanation:

Answer: 50/110 simplified is 5/11

Step-by-step explanation:

50/110

50/10=5

110/10=11

5/110=5/11

Answer: its A

Step-by-step explanation:

i know this is it

Answer:

\(\text{B) }56\:\mathrm{cm^2}\)

Step-by-step explanation:

The area of a triangle with height \(h\) and base \(b\) is given by \(A=\frac{1}{2}bh\). By definition, the base and the height must intersect at a 90 degree angle. Therefore, the diagram gives a base of 14 cm and a height of 8 cm. Substituting these values, we get:

\(A=\frac{1}{2}\cdot 8\cdot 14=\boxed{\text{B) }56\:\mathrm{cm^2}}\)

To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:

1/2 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

1/2 and 4/8

Now, the fractions are equivalent.

---

4/12 and __/60

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:

4/12 and 20/60

Now, the fractions are equivalent.

---

2/3 and __/12

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

2/3 and 8/12

Now, the fractions are equivalent.

---

4/4 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:

4/4 and 8/8

Now, the fractions are equivalent.

The amount that would be in the account when Alana is 21  is $2890

We have to know the formula for simple interest.

This is expressed as;

S.I = PRT/100

Given that the parameters of the formula are enumerated as;

From the information given, substitute the values, we have;

SI = 1000 × 9 × 21/100

Multiply the values,

Then, divide by the denominator, we have;

SI = $1890

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Answer:

Answer: 8,7

Step-by-step explanation:

sorry I'm 1 year late :((

Answer:

15 is answers

x=5

Step-by-step explanation:

4x-5

4×5-5

20-5

15

The statement which best describes the data given is C) The data can be modeled by a quadratic function.

Given a data,

The numbers of customers that visited a store each hour for several hours after the store opened at 8 am are shown in the table.

It is clear that the number of customers increases to 18 for the first 4 hours and then decreases to 0 after 9 hours.

So this data cannot be modeled by a linear function or an exponential function.

Also since the number of customers arriving is not constant, this cannot be expressed as constant function.

So it is quadratic function.

Hence the correct option is c.

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Answer:

To calculate how much you would have to deposit today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn, we can use the formula for the present value of an annuity due:

PV = PMT × ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n)

where:

- PV is the present value of the annuity due (the amount you would have to deposit today)

- PMT is the monthly payment ($75)

- r is the annual interest rate (3.5%)

- n is the number of times interest is compounded per year (12 for monthly compounding)

- t is the number of years (10)

PV = 75 × ((1 - (1 + 0.035/12)^(-12×10)) / (0.035/12)) × (1 + 0.035/12) = **$7,360.47**

Therefore, you would have to deposit **$7,360.47** today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn.

Answer:

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

Total length we need is the sum of the perimeter and two diagonals of the square.

Perimeter:

Diagonals:

Total length:

Number of rolls:

3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:

3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup

Since there are 1 cup in each term, we can rewrite it as:

3 cups + (1/2) cup

Now, we can express each term as a multiplication expression:

3 cups = 3 * 1 cup = 3

(1/2) cup = (1/2) * 1 cup = 1/2

Putting it all together, the multiplication expression is:

3 * 1 cup + (1/2) * 1 cup = 3 + 1/2

Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

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The probability of choosing a box and picking two quarter coins in a row is 1/108

Probability is the branch concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1. 0 indicates impossibility of the event and 1 indicates certainty.

Probability= sample space / total possible outcome

therefore probability of choosing two quarters in a row = 1/6×1/6= 1/36

The probability of choosing the first box =1/3

Therefore the probability of choosing the first box and picking two quarters In a row is 1/36×1/3= 1/108.

Since box two contain no quarter and box three has only one quarter , the probability of choosing two quarters in a row is 0.

Therefore the probability of choosing a box at random and picking two quarters in a row is 1/108.

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Using Pascal's triangle and the difference quotient formula, we expand (x + h)^2 and simplify the expression to (2hx + h^2) / h. As h approaches 0, the term h becomes negligible, and we are left with 2x, which represents the derivative of x^2.

To use Pascal's triangle to find x^2 using the difference quotient formula, we can follow these steps:

1. Write the second row of Pascal's triangle: 1, 1.

2. Use the coefficients in the row as the binomial coefficients for (x + h)^2. In this case, we have (1x + 1h)^2.

3. Expand (x + h)^2 using the binomial theorem: x^2 + 2hx + h^2.

4. Apply the difference quotient formula: f(x + h) - f(x) / h.

5. Substitute the expanded expression into the formula: [(x + h)^2 - x^2] / h.

6. Simplify the numerator: (x^2 + 2hx + h^2 - x^2) / h.

7. Cancel out the x^2 terms in the numerator: (2hx + h^2) / h.

8. Divide both terms in the numerator by h: 2x + h.

9. As h approaches 0, the term h becomes negligible, and we are left with the derivative of x^2, which is 2x.

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Answer:

mustard hot sauce

Step-by-step explanation:

mustard hot sauce

Answer:

aww mustard

Step-by-step explanation:

Aww mustard! Come on man, now don’t put no mustard on that you need to put a little season on that thing! WHAT! Man come on get that pepper off there! Come on somebody come get this man! Come on now, come on get that pepper of there, that’s just too much doggone pepper. I dont wanna see this no more

Answer:

1073.45 in²

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The equation to solve for the area of a circle is:

But wait, we don't have a radius to fix in the equation! Well to solve for the radius when given diameter, we can use the expression:

Now that we know this, we can insert 37 in for the diameter:

So, the radius of the circle is 18.5 inches.

Inserting 18.5 into the expression for the radius:

Using 3.14 for pi:

Therefore, the area of a circle with a diameter of 37 inches is 1073.45 in².

A statement which correctly describes the comparison between the shapes of the box plots include the following: A. The Bulldogs' distribution is symmetric, but the Wolverines' distribution is negatively skewed.

In Mathematics, skewness can be defined as a measure of the asymmetry of a box plot (box-and-whisker plot) or histogram and as such, a box plot (box-and-whisker plot) or histogram has a normal distribution when it is symmetrical.

By critically observing the box plot (box-and-whisker plot) which represent basketball scores for the Bulldogs basketball team has a median of 80 (vertical line dividing the box into two equal halves), which simply means that both whiskers on either sides of the box plot (box-and-whisker plot) are relatively equal and symmetric.

On the other hand (conversely), the box plot (box-and-whisker plot) for the Wolverines basketball team shows that the median is more closer to the third quartile (upper quartile) and the whisker to the right of the box plot is longer, which ultimately implies that Wolverines' distribution is negatively skewed.

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Complete Question:

These box plots show the basketball scores for two teams.

Bulldogs

55 70 80 90 105

Wolverines

35 55 80 85 96

Basketball scores

Compare the shapes of the box plots.

A. The Bulldogs' distribution is symmetric, but the Wolverines' distribution is negatively skewed.

B. Both distributions are symmetric.

C. Both distributions are negatively skewed.

D. The Bulldogs' distribution is symmetric, but the Wolverines' distribution is positively skewed​

========================================================

Explanation:

The unique digits are: 9, 6, 1

There are 1+3+3 = 7 digits with the repeats mentioned. If we could somehow tell the 6's apart and the 1's apart, then we'd have 7! = 7*6*5*4*3*2*1 = 5040 different permutations.

But because we can't tell the 6's apart, nor the 1's apart, this means we have to divide by (3!*3!). Each 3! represents the number of times the 6's show up and same goes for the 1's.

So (5040)/(3!*3!) = 5040/(6*6) = 5040/36 = 140 is the number of ways to rearrange the digits

The bell-shaped curve, also known as a Gaussian curve or a symmetrical distribution , showcases a central peak with data symmetrically distributed around it .

Revered for its iconic shape, the bell curve enchants the discerning observer with its symmetrical countenance, reminiscent of a resonant chime.

This majestic distribution unveils its true essence through its discernible apex, a testament to central tendency , where the mean, median, and mode converge, bestowing upon it an air of distinction .

The rough sketch of the curve having the bell shape is shown attached to the question.

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9514 1404 393

Answer:

  D  120

Step-by-step explanation:

We are given the relation ...

  48 = 0.40 × sales

Dividing by 0.40 gives the sales for the day.

  sales = 48/0.40 = 120

120 milkshakes were sold that day.

Answer:

x = 0.39 or

x = -1.72

Step-by-step explanation:

The quadrateic formula is:

\(x = \frac{-b\pm\sqrt{b^2 - 4ac} }{2a}\)

eq: 3x² + 4x - 2

which is of the form ax² + bx + c = 0

where a = 3, b = 4 and c = -2

sub in quadratic formuls,

\(x = \frac{-4\pm\sqrt{4^2 - 4(3)(-2)} }{2(3)}\\\\=\frac{-4\pm\sqrt{16 + 24} }{6}\\\\=\frac{-4\pm\sqrt{40} }{6}\\\\=\frac{-4\pm2\sqrt{10} }{6}\\\\=\frac{-2\pm\sqrt{10} }{3}\\\\=\frac{-2+\sqrt{10} }{3} \;or\;=\frac{-2-\sqrt{10} }{3}\\\\=0.39 \;or\; -1.72\)

Answer:

93.75

Step-by-step explanation:

Answer:

The answer is $93.75

Step-by-step explanation:

The values of x for which f(x) = 7 are x = 61 and x = 21.

To find the values of x for which f(x) = 7, we can set up the equation and solve for x.

The given function is f(x) = 0.5|x - 41| - 3.

Setting f(x) equal to 7, we have:

0.5|x - 41| - 3 = 7.

First, let's isolate the absolute value term:

0.5|x - 41| = 7 + 3.

0.5|x - 41| = 10.

To remove the absolute value, we can consider two cases:

Case: (x - 41) is positive or zero:

0.5(x - 41) = 10.

Multiplying both sides by 2 to get rid of the fraction:

x - 41 = 20.

Adding 41 to both sides:

x = 61.

So x = 61 is a solution for this case.

Case: (x - 41) is negative:

0.5(-x + 41) = 10.

Multiplying both sides by 2:

-x + 41 = 20.

Subtracting 41 from both sides:

-x = -21.

Multiplying both sides by -1 to solve for x:

x = 21.

So x = 21 is a solution for this case.

Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.

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The height of the monument is 30 meters.

We have,

Let's assume the height of the monument is "h" meters.

From the top of the building, the angle of elevation to the top of the monument is equal to the angle of depression to the foot of the monument. This forms a right triangle with the building, the monument, and the ground.

In this triangle, the opposite side of the angle of elevation is the height of the building, which is given as 30 meters.

The opposite side of the angle of depression is the height of the monument, which is "h" meters.

Since the angles of elevation and depression are equal, the triangle is an isosceles triangle.

Therefore, the opposite sides are equal in length.

By setting up the equation:

h = 30

Thus,

The height of the monument is 30 meters.

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Answer:

i. The diagonals are congruent.

iii. Both pairs of opposite sides are parallel.

iv. The diagonals are perpendicular bisectors of each other.

Step-by-step explanation:

Plan quadrilateral, which has four right angles; surface bounded by this quadrilateral. (A parallelogram is a rectangle if it has a right angle or if its diagonals [segments] have the same length. The perpendicular bisectors of two consecutive sides of a rectangle are its axes of symmetry.)

The length of a rectangle is the larger of its two dimensions, the smaller being its width. For measurement purposes, we sometimes distinguish the base b and the height h of a rectangle: Either side of the rectangle can be used as the base; the adjacent side will then be the corresponding height.

Note: A rectangle, therefore, has all the properties of a parallelogram:

Parallel opposite sides

Same length for opposite sides

The intersection of diagonals in the middle

A rectangle possesses two axes of symmetry, which are the perpendicular bisectors of its sides.

A rectangle has a center of symmetry, which is the point of intersection of its diagonals.

Answer:

The diagonals are congruent.

Both pairs of opposite sides are parallel.

The diagonals are perpendicular bisectors of each other.

Answer:

b ~ 11.5

Step-by-step explanation:

The given figure is a right triangle or a triangle that contains a right angle. The right angle is indicated by the box around one of the angles of the triangle. This means that one can use the Pythagorean theorem to find the missing side lengths. The Pythagorean states the following,

\(a^2+b^2=c^2\)

Where the value (a) and (b) represents the legs or the sides adjacent to the right angle of the trinalge. The side (c) represents the hypotenuse or the side opposite the right angle of the right triangle.

Substitute in the given values and solve for the unknown,

\((8)^2 +(b)^2=(14)^2\\\)

Simplify,

\(64+b^2=196\)

Inverse operations,

\(64+b^2=196\\-64\\\\b^2=132\\\sqrt{}\\\\b=2\sqrt{33}\)

b ~ 11.5