Question 13
Peng Peng has $4 in quarters and dimes. She has 34 coins. How many quarters and dimes does Peng Peng have?
Part A
Write a system of equations that represents the situation.
0.25x+
+ y =
Part B
Solve the system of equations. Express the coordinates as decimals if necessary.

Answer: 10

Step-by-step explanation:

4x - 28 = 12

4x - 28 = 12 + 28

4x = 40

4x/4 = 40/4

x = 10

The surface area of the prism is 60 sq meters.

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

We know, The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.

Given prism has 9 m of length, 6 m of width, and 2 m of height.

Therefore, The surface area of the prism is,

= 2(9 + 6)×2 sq meters.

= 2×15×2 sq meters.

= 60 sq meters.

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Answer:

[tex]x=5[/tex]

Step-by-step explanation:

[tex]\cos 60^{\circ}=\frac{x}{10} \\ \\ \frac{1}{2}=\frac{x}{10} \\ \\ x=5[/tex]

[tex](\stackrel{x_1}{5}~,~\stackrel{y_1}{8})\hspace{10em} \stackrel{slope}{m} ~=~ 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{ 1}(x-\stackrel{x_1}{5})\implies {\Large \begin{array}{llll} y=x+3 \end{array}}[/tex]

Answer:

She must score an 87 to obtain an average of 75.

Step-by-step explanation:

(66+72+x) / 3 = 75

x = 87

Answer:

Two ways.

(1) 4 notebooks,3 pencils, have change $12;

(2)3 notebooks, 5 pencils, have no change.

Step-by-step explanation:

set student buy x notebooks and y pencils,

x≥3,y≥3,

60x+36y≤360

if x=3, 180+36y≤360

         36y≤180

             y≤5

and y≥3, so y={3,4,5}

(1)when y=3, 60x≤360-36x3=252, x≤4.2,so x=4,

and change=360-36x3-60x4=12

(2)when y=4, 60x≤360-36x4=216, x≤3.6,so x=3,

and change=360-36x4-60x3=36, since student have to spend as much as possible of his money, $36 can buy a pencil, so this is not accepted.

(3)when y=5, 60x≤360-36x5=180, x≤3, so x=3,

and change =360-36x5-60x3=0

The student has two ways to spend his money on notebooks and pens. In one option, she can buy 4 notebooks and 3 pens and in the other option she can buy 3 notebooks and 5 pens.

To find the student's possibilities to buy pens and notebooks we must take into account his total budget of $360. Additionally, the values of the notebooks and pens that are: $60 and $36 respectively.

We must multiply the value of the notebooks by the number of notebooks that we believe the student can buy, this would be a range between 3 and 4 notebooks. Additionally, once we decide the number of notebooks we can divide the remaining money in the value of the pens to find the number of pens that the student can buy. According to the above:

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Answer: 60%

Step-by-step explanation:

2,400/4,000 x 100/1

0.6 x 100 = 60%

Answer:

11/x because split is the same as divide so she split 11 pieces with x people

Step-by-step explanation:

Answer:

$1.80 per 4 mini muffins

Step-by-step explanation:

12 mini muffins = 5.40

divide by 3

4 mini muffins = 1.80

:]

The given expression is a fifth-degree polynomial.

An expression represents a polynomial when these following conditions are satisfied:

The exponents for this problem are given as follows:

5, 2 and 1.

Hence the function represents a polynomial, of the fifth degree, as the highest exponent is of 5.

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The formula for the volume of a square prism is given as V = s^2 * h. V = s^2 * h = 1.5^2 * 8 = 2.25 * 8 = 18 cm^3 So the volume of the square prism is 18 cubic centimeters.

this is what weegy answered

Answer:At low tide the water reaches the 1-foot mark. Assume that high tide occurs at 12 noon and at midnight, and that low tide occurs at 6 pm and 6 am.

Step-by-step explanation:

Answer:

d. 1/36

Step-by-step explanation:

as total outcomes is 36

and we can get 1 on both the dice just once

Answer:

If 68.3% of Americans believe that some psychics can help solve murder cases, then the percentage of Americans who do not believe this is:

100% - 68.3% = 31.7%

Therefore, the probability of randomly selecting someone who does not believe that some psychics can help solve murder cases is 31.7%.

Step-by-step explanation:

Answer

lines passing through the midpoint of each side which are perpendicular to the given side

Step-by-step explanation:

Answer:

12 inches

Step-by-step explanation:

21/3=7

84/7=12

12 inches

Since the two parallel lines are cut by a transversal and m∠3 = 41°, the measure of angles m∠6 and m∠8 include the following:

m∠6 = 139°.

m∠8 = 139°.

In Mathematics, parallel lines are two lines that are cut through by a transversal and they always have the same (equal) distance apart and never meet.

In Mathematics, the Alternate Interior Angles Theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent:

m∠3 = m∠5 (alternate interior angles)

m∠5 + m∠6 = 180° (linear pair postulate).

41° + m∠6 = 180°.

m∠6 = 180° - 41°

m∠6 = 139°

m∠6 = m∠8 (vertical angles theorem).

m∠8 = 139°.

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Since, 1 Tablespoon is equal to 15 Gram.

Therefore, 2 Tablespoon is equal to 1/8 cups or 29.5 grams.

Gram:

The gram (originally gram; SI unit symbol g) is a unit of mass in the International System of Units (SI), equal to one thousandth of a kilogram.

Originally defined in 1795 as "the absolute weight of a volume of pure water equal to one hundredth of a meter at the temperature at which ice melts." The positive temperature (~0 °C) was later changed to 4 °C, the temperature of maximum density of water.

However, towards the end of the 19th century, attempts were made to make the kilogram the base unit and the gram the derived unit. In 1960, the new International System of Units defined the gram as one thousandth of a kilogram (i.e., 1 gram equals 1 × 10-3 kg. As of 2019, the kilogram is defined by the International Bureau of Weights and Measures based on the fixed value of Planck's constant (h),  

6.62607015 × 10-34 kg⋅m2⋅s-1.

According to the Question:

Convert from tablespoons to grams by multiplying the volume by 14.786765 times the density of the ingredient or material.

Using this simple formula, it can be converted to:

Grams = Tablespoons × 14.786765 × Ingredient Density

Therefore,

Grams = 02 × 14.786765

           = 29.57353

So the volume in grams is equal to the number of tablespoons times the density of the material or material times 14.786765.

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The fact that both rays are equal in the case at hand is not given, hence the incorrect statement will be (A) AB = AC.

By selecting a curve that is perpendicular to the wavefronts of the actual light and points in the direction of energy flow, one can create an idealized geometrical model of light or other electromagnetic radiation known as a ray in the field of optics.

By segmenting the actual light field into discrete rays that can be computationally propagated across the system using ray tracing techniques, rays are used to mimic the propagation of light through an optical system.

As a result, even extremely complicated optical systems can be mathematically or computationally investigated.

For as long as light waves travel through and around objects whose dimensions are significantly larger than the light's wavelength, approximate solutions to Maxwell's equations are appropriate for use in ray tracing.

So, in the given situation it is nowhere given that both rays are equal, and hence the wrong statement will be AB = AC.

Therefore, the fact that both rays are equal in the case at hand is not given, hence the incorrect statement will be (A) AB = AC.

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The equivalent of the expression -2w-9+5w+3 is 3(w-2)

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s). Examples is 2x+ 6y is equivalent to 2(x+3y)

The expression -2w-9+5w+3 can be factorized;

collect like terms

-2w-9+5w+3 = -2w+5w-9+3

= 3w-6

= 3( w-2)

therefore the equivalent of the expression -2w-9+5w+3 is 3(w-2)

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Answer:

m = 73/13

Step-by-step explanation:

Slope = rise/run or (y2 - y1) / (x2 - x1)

(0, 0), (13, 73)

We see the y increase by 73 and the x increase by 13, so the slope is

m = 73/13

No, The point (30, 61) does not lie on the given line y  = 2x - 1.

The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.

Given that,

The line,

y = 2x -1

To check if the point (30, 61) is on the line y = 2x - 1, we need to substitute x = 30 and y = 61 into the equation and see if the equation holds true.

So, we have:

y = 2x - 1

61 = 2(30) - 1

61 = 60 - 1

61 = 59

Since 61 is not equal to 59, the point (30, 61) is not on the line y = 2x - 1.

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Answer:

(a) x= 20 (b) x= 41

Step-by-step explanation:

(a)

180-54= 126

360-126-90= 144

7x+4= 144

7x= 140

x= 20

(b)

(n-2)(180)= (5-2)(180)

= 540

(2x-10)+3x+(4x+20)+(2x-5)+(2x+2)= 13x+7

13x+7= 540

13x= 533

x= 41

The value of the square root of 9 is 3.

The square root of a number is the value that, when multiplied by itself, gives the original number. In this case, we want to find the square root of 9.

We can start by finding the perfect squares that are less than 9. The perfect squares less than 9 are 1 and 4. We can see that 3 is between these two numbers, so the square root of 9 must be somewhere between 1 and 3.

We can test whether 3 is the square root of 9 by squaring it: 3 x 3 = 9. This confirms that 3 is indeed the square root of 9.

Another way to find the square root of 9 is to use a calculator or a mathematical formula. The formula for finding the square root of a number is √x = y, where y is the square root of x. In this case, x is 9, so we have √9 = 3.

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The weight of Alicia's camera is 8/5 kg. We can record this value in the table.

A fraction is a number that represents a part of a whole. It is expressed as a ratio of two numbers, where the top number is called the numerator and the bottom number is called the denominator.

We need to record the weight of Alicia's camera in the table. We know that the weight of her lunch is greater than the weight of her camera, and we know that the weight of her lunch is 2 kg. Therefore, the weight of her camera must be less than 2 kg.

We are also given that the weight of her camera is 1\dfrac35 kg. To convert this mixed number to an improper fraction, we can multiply the whole number (1) by the denominator of the fraction (5) and add the numerator (3), and then put the result over the denominator:

[tex]1\dfrac35 = \dfrac{1\times5+3}{5} = \dfrac{8}{5}[/tex]

Therefore, The weight of Alicia's camera is 8/5 kg. We can record this value in the table.

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The conversion of 73 Kilogram (kg) pounds (lbs) is 160.9358 lbs

The standard metric conversion of a unit weight from one S.I. unit to another follows a standard approach that is universally acceptable and timeless. For the conversion of 1 kilogram to pounds, 1 kg is equivalent to  2.2046 lbs.

To convert 73 kilograms to pounds, multiply 73 kilograms by 2.2046 lbs. Mathematically;

[tex]=73 \ kg \times \dfrac{2.2046 \ lbs}{1 \ kg}[/tex]

Cancel the common units

[tex]=73 \times \dfrac{2.2046 \ lbs}{1}[/tex]

= 160.9358 lbs

Therefore, we can conclude that the conversion of 73 kilograms (kg) to metric pounds (lbs) is 160.9358 lbs.

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The required derivative of f(x) = ln(1 - x) is f'(x) = -1 / (1 - x).

A derivative is a two-party contract whose price or value is based on an underlying asset. Futures, options, forward contracts, and swaps are the four most popular types of derivatives. It is a financial instrument whose price and value are determined by the underlying assets.

The derivative of the natural logarithmic function is given by:

d/dx [ln(u(x))] = 1/u(x) * du/dx

So, to find the derivative of f(x) = ln(1 - x), we need to find the derivative of the inside function, which is 1 - x:

f'(x) = 1/[1 - x] * d/dx [1 - x]

= 1/[1 - x] * (-1)

= -1 / (1 - x)

So the derivative of f(x) = ln(1 - x) is f'(x) = -1 / (1 - x).

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The value of the fraction is A = 20 / 9

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the fraction be represented as A

Now , the first fraction is p = 5/6

Let the second fraction be q = 3/8

Now , the equation is A = p/q

On simplifying , we get

A = ( 5/6 ) / ( 3/8 )

A = ( 5/6 ) x ( 8/3 )

On further simplification , we get

The fraction A = ( 20 / 9 )

Hence , the fraction is A = 20/9

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The amount of KES that one would have to get for R150 is given as 1053.54 KES

​The KES tells us of the Kenyan currency. That is the Kenyan shillings. The R is the name that is used to refer to the Rands

Hence we would have to convert rands to KES

1 south African Rand is given as 7.0236

then 150 rand would be = ?

Hence the amount you would get of KES is: 7.0236 * 150

= 1053.54 KES

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The surface area of a square pyramid net can be found by adding the areas of the base and the four triangular faces.

First, find the area of the base by multiplying the length and width of the square base.

Area of base = length × width

Next, find the area of one of the triangular faces by using the formula:

Area of triangle = 0.5 × base × height

Since there are four triangular faces in a square pyramid, multiply the area of one triangle by four to find the total area of the triangular faces.

Area of triangular faces = 4 × (0.5 × base × height)

Finally, add the area of the base and the area of the triangular faces to find the total surface area of the square pyramid net.

Surface area = Area of base + Area of triangular faces

= (length × width) + (4 × (0.5 × base × height))

= (length × width) + (2 × base × height)

So, the surface area of a square pyramid net is the sum of the area of the base and the area of the four triangular faces.

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