Thomas bought 12 glass and plastic cups from
the store. Glass cups cost $3.25 and plastic
cups cost $2.75. Thomas spent a total of
$36.00. How many glass cups (g) and how
many plastic cups (p) did he buy?
g+p=12
3.25g +2.75p = 36
[?] glass cups [] plastic cups

Answer: Dimension = 27 inches by 39.75 inches

Concept:

A perimeter is a path that encompasses/surrounds/outlines a shape.

Perimeter (rectangle) = 2 (l + w)

l = length

w = width

Solve:

l = 2w - 14.25

w = w

P = 133.5

Given equation

P = 2 (l + w)

Substitute values into the equation

133.5 = 2 (2w - 14.25 + w)

Combine like terms

133.5 = 2 (3w - 14.25)

Distributive property

133.5 = 6w - 28.5

Add 28.5 on both sides

133.5 + 28.5 = 6w - 28.5 + 28.5

162 = 6w

Divide 6 on both sides

162 / 6 = 6w / 6

w = 27 in

l = 2w - 14.25 = 2 (27) - 14.25 = 39.75 in

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x^2 + 3x + 9 = (x + 3)(x + 3)

When x = 2, we have:

(2 + 3) * (2 + 3)

5 * 5

25

The length of the longer side of the rectangle is: 5.21 cm

We are told that a quarter-circle is drawn onto one of the shorter sides of a rectangle.

The shorter side of the rectangle measures 4 centimeters.

Thus, radius of circle is 4 cm.

The area of the quarter circle is:

A = ¹/₄πr²

A = ¹/₄ * 3.14 * 4²

A = 12.56 square centimeters

Area of rectangle = 33.4 - 12.56

A = 20.84 square centimeters

Length of longer side = 20.84/4

= 5.21 cm

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The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is  (APR / 365) x 30 days x adjusted balance.

The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.

The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.

Credit card interest method = adjusted balance method

Beginning balance = $780

Purchase = $170

Payment = $210

Adjusted balance, AB = $740 ($780 + $170 - $210)

APR = 17% = 0.17 (17/100)

The interest charged = (APR / 365) x 30 days x adjusted balance

= $10.34 [(0.17/365) x 30 x $740]

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Answer: 5,000,000 - 4,000 - 300 or  5,004,300

Step-by-step explanation:

5,004,300 = 5,004,300.0

Left shift 6 times to largest digit = 5.004300

5.004300 (show the shift multiplier: 10^6)

5.004300*10^6

Answer:

5004300

Step-by-step explanation:

Answer:

380 pages

Step-by-step explanation:

because if 30% equals 300 means 38% equals 380

Tiffany bought some boots that were on sale for $95.20. The boots were originally priced at $119. What was the percent discount of the boots? Show your work and then write your answer in a complete sentence.​

we know that

$119 -------> represent the 100%

Find out the difference

119-95.20=$23.80

Applying proportion

Find out the percent discount

so

100/119=x/23.80

solve for x

x=(100/119)*23.80

x=20%

therefore

Question 1:

(a) The equation representing Elaine's total parking cost is:

C = x * t

(b) So the cost of parking for a full 24 hours would be 24 times the cost per hour.

Question 2:

The given system of equations is inconsistent and has no solution.

(a) To represent Elaine's total parking cost, C, in dollars for t hours, we need to know the cost per hour. Let's assume the cost per hour is $x.

(b) If Elaine wants to park her car for a full 24 hours, we can substitute t = 24 into the equation from part (a):

C = x * 24

Question 2:

To solve the linear system:

-x - 6y = 5

x + y = 10

We can use the elimination method.

Multiply the second equation by -1 to create opposites of the x terms:

-x - 6y = 5

-x - y = -10

Add the two equations together to eliminate the x term:

(-x - 6y) + (-x - y) = 5 + (-10)

-2x - 7y = -5

Now we have a new equation:

-2x - 7y = -5

To check the answer, we can substitute the values of x and y back into the original equations:

From the second equation:

x + y = 10

Substituting y = 3 into the equation:

x + 3 = 10

x = 10 - 3

x = 7

Checking the first equation:

-x - 6y = 5

Substituting x = 7 and y = 3:

-(7) - 6(3) = 5

-7 - 18 = 5

-25 = 5

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Answer:

0, 1/13, 49/100, 1/2, 11/20, 8/9, 1

Step-by-step explanation:

You know the smallest is 0, largest is 1

the middle is 1/2

49/100 is slightly smaller than 1/2 or 50/100

11/20 is slightly larger than 1/2 or 10/20

1/13 is slightly larger than 0

8/9 is slightly smaller than 1

please give thanks :)

and brainliest :)

\(\\ \rm\rightarrowtail m=\dfrac{4+6}{-8+8}\)

\(\\ \rm\rightarrowtail m=10/0\)

\(\\ \rm\rightarrowtail m=\infty\)

There are 152 red pens and 190 blue pens in Max's drawer, given that there are a total of 342 pens altogether.

Let's solve the problem step by step:

Identify the given information:

The ratio of red pens to blue pens is 4 to 5.

There are a total of 342 pens in the drawer.

Set up the ratio equation:

Let's assume the number of red pens is 4x, and the number of blue pens is 5x.

Here, 'x' is a scaling factor that allows us to find the actual number of pens.

We can write the equation as: 4x + 5x = 342.

Simplify and solve the equation:

Combining like terms, we have 9x = 342.

Divide both sides of the equation by 9 to solve for 'x':

x = 342 / 9 = 38.

Calculate the number of red pens and blue pens:

Now that we have the value of 'x', we can find the number of red and blue pens:

Number of red pens: 4x = 4 × 38 = 152.

Number of blue pens: 5x = 5 × 38 = 190.

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Step-by-step explanation:

\(x ^{1} = - 5 \\ y ^{1} = - 2 \\ x {}^{2} = - 2 \\ y {}^{2} = 1 \\ then \: you \: solve \: with \: that \: formula \: you \: know\)

Answer:

the first one is correct

Answer:

b

Step-by-step explanation:

Answer: c

Step-by-step explanation:

i got it right

Answer:

C) Yes, because substituting these values into both equations forms two true statements.

Step-by-step explanation:

Answer:

that sounds rlly confusing ngl hope u get it right

Step-by-step explanation:

The value of w for the expression of angle 6w + 13 will be 13. The correct option is A.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a quadrilateral has 4 sides. One angle of regular quadrilateral measures (6w+13).

The value of 'w' will be calculated as,

6w + 13 = 90

6w = 90 - 13

6w = 77

w = 12.83 or 13

Therefore, the value of w for the expression of angle 6w + 13 will be 13. The correct option is A.

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Answer:

45°

Step-by-step explanation:

The diagram for this question has been attached to this response. Please check.

The angle of elevation is the angle between a horizontal line from a viewer and the line of sight to an object being viewed which is above the horizontal line.

From the diagram;

θ is the angle of elevation

x = height of the tree

y = length of the shadow of the tree = x

Therefore,

tanθ = \(\frac{x}{y}\)           [Remember that y = x? Then substitute into the equation]

tanθ = \(\frac{x}{x}\)

tanθ = 1

θ = tan⁻¹(1)

θ = 45°

Therefore, the angle of elevation is 45°

Answer:

x=2

Step-by-step explanation:

10 - (x + 3) = 5

To solve for x, we can start by simplifying the left side of the equation:

10 - (x + 3) = 5

10 - x - 3 = 5

7 - x = 5

Next, we can isolate x on one side of the equation by subtracting 7 from both sides:

7 - x = 5

7 - x - 7 = 5 - 7

-x = -2

Finally, we can solve for x by dividing both sides of the equation by -1:

-x = -2

x = 2

Therefore, the solution to the equation is x = 2.

It doesn't follow that x2 and x3 have the same distribution

We can construct a counterexample as follows:

Let x1 be a standard normal random variable (with mean 0 and variance 1), and let x2 and x3 be two independent random variables, each of which takes the value 1 with probability 1/2 and the value -1 with probability 1/2.

Then x1 x2 and x1 x3 both have a standard normal distribution, because the product of a standard normal random variable and an independent discrete random variable with values ±1 is still a standard normal random variable.

However, x2 and x3 do not have the same distribution, because x2 takes the values ±1 with equal probability, while x3 takes the values ±1 with equal probability.

Therefore, the given condition does not imply that x2 and x3 have the same distribution.

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Answer:

hello the series to your question is missing attached below in the solution is the missing series

Answer :  The series diverges because, by the Limit Comparison lest, is constant and lim n-70o diverges n 5 Vin O C. ( B )

Step-by-step explanation:

Attached  below is the detailed solution of the question and the series is divergent because p = 1/5 < 1

The number of children and number of adults that swam at the pool is 283 children and 57 adults.

A system of equations is a group or arrangement of equations that are handled together. Both algebraic and visual methods can be used to solve these problems. The intersection of two lines is the location where the system of equations has a solution. Any equation with one or more variables that produces a straight line when plotted is said to be linear. A system of linear equations is any pair of linear equations with at least two variables in which all equations are taken into account simultaneously.

Let us suppose the number of children = x.

Let us suppose the number of adults = y.

Given that 340 people used the pool thus,

x + y = 340......(1)

The price for one adult is $2 and for children is $1.75, thus:

1.75x + 2y = 609.25......(2)

From the equation 1 we can write:

x = 340 - y

Substitute the value of x in equation 2:

1.75(340 - y) + 2y = 609.25

595 - 1.75y + 2y = 609.25

0.25y = 14.25

y = 57

Substitute the value of y = 57 in equation 1:

x + y = 340

x + 57 = 340

x = 283

Hence, the number of children and number of adults that swam at the pool is 283 children and 57 adults.

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The complete question here:

Answer: yes probably

Step-by-step explanation: death note

Answer:

The answer is nothing

Step-by-step explanation:

There us nothing therefor the answer is nothing

9514 1404 393

Answer:

  4.  b

  5.  a

Step-by-step explanation:

4. The radius is the distance between the center (-6, -8) and the point on the circle (0, 0). The square of that is given by ...

  r^2 = (-6-0)^2 +(-8-0)^2 = 36 +64 = 100

Only one of the offered choices has an r^2 value of 100: Choice B.

__

5. The center and the point are on the same line (y=9), so the radius is the difference of x-coordinates: r = 5-2 = 3. The center is given as (h, k) = (5, 9).

The form of the equation of a circle is ...

  (x -h)^2 +(y -k)^2 = r^2

Filling in the given values, the equation is ...

  (x -5)^2 +(y -9)^2 = 9 . . . . matches choice A

Answer:

The person above is correct

Step-by-step explanation:

–3 + 8i  is  

✔ in quadrant II

.

4i is  

✔ on the vertical axis

.

6 is  

✔ on the horizontal axis

.

5 – 2i is  

✔ in quadrant IV

.

Each point located on the graph is; -3 + 8i is in quadrant II, and 5 - 2i is in quadrant IV.

All the points (and only those points) which lie on the graph of the function satisfy its equation.

Thus, if a point lies on the graph of a function, then it must also satisfy the function.

We have to find the location of the points.

-3 + 8i is in quadrant II.

4i is on the vertical axis.

6 is on the horizontal axis.

5 - 2i is in the quadrant IV.

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Trigonometric Ratios

A right triangle has one angle of 90° and two acute angles. There are special proportions between the side lengths called the trigonometric ratios.

All the trigonometric ratios in a right triangle are positive.

We need to use some trigonometric identities to find the other five ratios, given one of them:

We are given:

From the first identity, solve for the cosine:

Substituting:

Calculate the tangent:

Calculate the cosecant:

Calculate the secant:

Finally, calculate the cotangent: