Mrs. Franklin sells MSU hats and sweatshirts. She is hoping to earn $500 by charging
$20 for each sweatshirt and $10 for each hat. If she sells a total of 30 items, Mr.
Sanders wants to know how many of each item she sells.
Time
Atten
30N
Let H represent the number of hats and S represent the number of sweatshirts.
What equation relates S and H to the total Money earned?
205 + 10H = 500
105 + 20H - 500
105 = 500
10H - 400

Answer:

A regular dog has 4 legs so it has 4 paws. If each paw needs one wipe Jen will need 4 wipes.

Jen will need 4 wipes for each paw

Answer:

El lado del cuadrado inicial es 17 m.

Step-by-step explanation:

El área de un rectángulo se calcula a partir de los dos lados diferentes. Siendo a y b el valor de ambos lados, el área de la figura es el producto de los dos lados contiguos del rectángulo.

A los lados de un cuadrado se le aumenta en 3 y 5 m respectivamente la superficie del nuevo rectángulo es 440 m². Siendo x el lado del cuadrado inicial, entonces el área del rectángulo se puede expresar como:

(x+3)*(x+5)= 440 m²

Resolviendo:

x*x + 5*x + 3*X + 3*5= 440

x² + 8*x + 15=440

x² + 8*x + 15 -440= 0

x² + 8*x -425= 0

Una función cuadrática de la forma a*x² + b*x + c= 0 se puede resolver mediante la expresión:

[tex]\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}[/tex]

En este caso, a=1, b=8 y c=425. Reemplazando:

[tex]\frac{-8+-\sqrt{8^{2}-4*1*(-425) } }{2*1}[/tex]

Resolviendo:

[tex]\frac{-8+\sqrt{8^{2}-4*1*(-425) } }{2*1}= \frac{-8+\sqrt{64+1700} }{2*1}= \frac{-8+\sqrt{1764 } }{2}= \frac{-8+42 }{2}= \frac{34}{2} = 17[/tex]

y

[tex]\frac{-8-\sqrt{8^{2}-4*1*(-425) } }{2*1}= \frac{-8-\sqrt{64+1700} }{2*1}= \frac{-8-\sqrt{1764 } }{2}= \frac{-8-42 }{2}= \frac{-50}{2} = -25[/tex]

Como las longitudes no pueden ser negativas, el lado del cuadrado inicial es 17 m.

Answer:

I think c

Step-by-step explanation:

Answer:

35 is the 'is' and 40 is the 'of'

Step-by-step explanation:

is/of = %/100

35/40 = x/100

cross-multiply to get:

40x = 3500

x = 3500/40

x = 87.5

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

Explanation:

For now, let's focus on the probability of getting one "5".

There are 4 of these cards (one of each suit) and 52 total. The probability of getting the card we're after is 4/52 = 1/13.

We can think of it like saying "if we focus on one suit only, then there's a 1 in 13 chance of getting a '5' from this pile".

The probability of getting two "5"s in a row is (1/13)*(1/13) = 1/169 assuming we put the first card back. If the first card is not put back, then we would compute it like so: (4/52)*(3/51). I'll leave it unevaluated for you to try out as practice.

Side note: 1/169 = 0.0059 = 0.59% approximately

9514 1404 393

Answer:

  a. 12

  b. 15

  c. (2, -2.5)

Step-by-step explanation:

a. The points lie on a horizontal line, so the distance between them is the difference of their x-coordinates: 4 -(-8) = 12 units.

__

b. The length BD is the diagonal of the rectangle. Its length is given by the distance formula as ...

  d = √((x2 -x1)^2 +(y2 -y1)^2)

  d = √((-8 -4)^2 +(-7 -2)^2) = √((-12)^2 +(-9)^2) = √(144 +81) = √225

  d = 15

The distance between B and D is 15 units.

__

c. The midpoints of AC and BD are the same:

  (A +C)/2 = ((-8, 2) +(4, -7))/2 = (4, -5)/2 = (2, -2.5)

  (B +D)/2 = ((4, 2) +(-8, -7))/2 = (4, -5)/2 = (2, -2.5)

Point (2, -2.5) can be used to locate the lake.

Answer:

  4,428-2,165=2,263

Step-by-step explanation:

you regroup the 2

The equation that uses numbers 2,165 and 4,428, and can be used to write and solve an equation that uses borrowing is 4,428-2,165=2,263.

Borrowing in subtraction, like "carrying" in addition, means to take quantities from one number and assign them to the next. The 10 is borrowed from the next higher digit column in this approach to generate a positive difference in the next column.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='. An equation that uses borrowing or regrouping can be written as,

4,428 - 2,165 = 2,263

Hence, the equation that uses numbers 2,165 and 4,428, and can be used to write and solve an equation that uses borrowing is 4,428-2,165=2,263.

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Answer:

1.   20 - 2 x

3.  -7 x - 21

5.   5 - 15 x

7.    20 x - 50

9.   1 - 4 x

11.   18 x - 8

13.   24 x + 36

Step-by-step explanation:

Answer:

The cofunction of [tex]\tan \frac{2\pi}{11}[/tex] is [tex]\cot \frac{7\pi}{22}[/tex].

Step-by-step explanation:

In trigonometry, a function is a cofunction of another if and only if [tex]f(A) = g(B)[/tex], where A and B are complementary angles. In this case, the complementary function of a tangent function must be a cotangent function, this is:

[tex]\tan \frac{2\pi}{11} = \cot \left(\frac{\pi}{2} - \frac{2\pi}{11} \right)[/tex]

[tex]\tan \frac{2\pi}{11} = \cot \frac{7\pi}{22}[/tex]

[tex]\tan \frac{2\pi}{11} = \frac{1}{\tan \frac{7\pi}{22} }[/tex]

[tex]0.642 = \frac{1}{1.556}[/tex]

[tex]0.642 = 0.642[/tex]

Answer:

1 yup the answer is 1

Answer:

Step-by-step explanation:

THe formula for calculating midpoint is expressed as;

M(X, Y) = {(x1+x2/2), y1+y2/2}

Given

Midpoint = (2, 5)

K = (8, 7)

Required

Coordinate of M

X = x1+x2/2

2 = 8+x2/2

4 = 8+x2

x2 = 4-8

x2 = -4

Similarly;

Y = y1+y2/2

5 = 7+y2/2

10 = 7+y2

y2 = 10-7

y2 = 3

Hence the coordidates of M is at (-4,3)

Answer:

Answer is D

Step-by-step explanation:

Answer:

[tex]1.\:2^x=64, x=\boxed{6},\\2.\:x=\left(\frac{2}{3}\right)^3,x=\boxed{\frac{8}{125}}\\3.\:3\cdot (3^4)=3^x, x=\boxed{5}\\4.\:\frac{16}{25}=x^2,x=\boxed{\frac{4}{5}},[/tex]

Step-by-step explanation:

[tex]1.\\\\2^x=64,\\\log 2^x=\log64,\\x\log 2=\log 64,\\x=\frac{\log 64}{\log 2}=\boxed{6}[/tex]

[tex]2.\\x=\left(\frac{2}{5}\right)^3=\frac{2^3}{5^3}=\boxed{\frac{8}{125}}[/tex]

3. This problem incorporates an exponent property.

Exponent property used: [tex]a^b\cdot a^c=a^{(b+c)}[/tex], yielding an answer of [tex]\boxed{5}[/tex]

[tex]4.\\\\\frac{16}{25}=x^2,\\x=\sqrt{\frac{16}{25}}=\frac{\sqrt{16}}{\sqrt{25}}=\boxed{\frac{4}{5}}[/tex]

Answer:

1. 6

2. 8/25

3. 5

4. 4/5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

=6 times 8q+6

=6(8q+1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

a.

moderate or week negative correlation

b.

(8, 8200) are the approximate  coordinates of the collector's classic

Step-by-step explanation:

much. Write down the coordinates of the cross that you think represents this car on the graph

Answer:

The true statements are :

A. A random variable is a numerical description of the outcome of a statistical experiment.

B. In most​ applications, discrete random variables represent counted​ data.

C. In most applications, continuous random variables represent measured data.

Step-by-step explanation:

It is true statement that,

A. A random variable is a numerical description of the outcome of a statistical experiment.

B. In most​ applications, discrete random variables represent counted​ data.

C. In most applications, continuous random variables represent measured data.

The false statement is -

D. The expected value of a discrete random variable is equal to the standard deviation of the random variable.

Reason -

The mean value, or expected value, of a discrete random variable X is given by the following equation:

μ = E(x) = ∑ x p(x)

And

The variance of a discrete random variable is given by the following formula:

σ²=∑ (x−μ)² P(x)

And

The square root of the variance, or, in other words, the square root of σ², is the standard deviation of a discrete random variable :

σ = √σ²

Answer:

5 < x

Step-by-step explanation:

28<6x-2

Add 2 to each side

28+2<6x-2+2

30 < 6x

Divide each side by 6

30/6 < 6x/6

5 < x

Answer:

5 < x OR x > 5

same thing just reversed

Step-by-step explanation:

28 < 6x - 2

28+2 < 6x (- 2 + 2)

30 < 6x

30/6 < 6x/6

5 < x

Answer:

0.25 pints

Step-by-step explanation:

Hehe, i used goo. gle

Answer:

96 students

Step-by-step explanation:

x + y = 323

2x + 3.5y = 790

=> by elimination

2x+3.5y=790

2x+ 2y = 646

__________-

1.5y = 144

y = 144/1.5 = 96

The system of equations are

x + y = 323

2x + 3.5y = 790

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 system of equations be A and B

Now , the number of tickets sold = 323 tickets

Let the number of students be = x

Let the number of non students = y

So , x + y = 323   be equation (1)

The cost for students = $ 2

The cost for non students = $ 3.50

The total cost of all the tickets = $ 790

So , 2x + 3.5y = 790   be equation (2)

On simplifying the equations , we get

Multiply equation (1) by 2 , we get

2x + 2y = 646   be equation (3)

Subtracting equation (3) from equation (4) , we get

1.5y = 144

Divide by 1.5 on both sides of the equation , we get

y = 96

So , the number of non students be y = 96

Substituting the values of y in equation (1) , we get

x = 323 - 96 = 227 students

Now , the graph of the equations is plotted and the point of intersection is the solution ( 227 , 96 )

Hence , the equations are solved

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Answer:

3x - 6

Step-by-step explanation:

Using the keywords "a number" and "few than" and "times" we can identify the expression.

Answer:

Let the number be x

Basically, 3 times a number is 3x and 6 fewer than 3 times a number is 3x-6 (that is, 6 is less than 3x)

Hence the required expression is 3x-6.

hope it helps :)

Answer:

[tex]C = 45 * 2\pi[/tex]

[tex]C = 90\pi[/tex]

Step-by-step explanation:

Given

[tex]h = 90[/tex] -- height of the wheel

Required

The expression for the distance traveled in 1 revolution

The height of the wheel implies that:

[tex]d =90[/tex] --- diameter equals height

The distance in 1 revolution is calculated by calculating the circumference of the wheel using:

[tex]C = 2\pi r[/tex] or [tex]C = \pi d[/tex]

Where

[tex]r = \frac{1}{2} * d[/tex]

[tex]r = \frac{1}{2} * 90[/tex]

[tex]r = 45[/tex]

So, we have:

[tex]C = 2\pi r[/tex]

[tex]C = 2\pi * 45[/tex]

[tex]C = 45 * 2\pi[/tex]

[tex]C = \pi d[/tex]

[tex]C = \pi * 90[/tex]

[tex]C = 90\pi[/tex]

Answer:

2x+y=7; 3x+2y=16

X = -2

Y = 11

Answer:

c. 267.95cm^3

Step-by-step explanation:

[tex] \frac{4}{3} \pi {(4)}^{3} \\ \frac{4}{3} \pi(64) \\ \frac{256}{3} \pi \\ 85.3\pi \\ 268 {cm}^{3} [/tex]

Volume of Cube = a³

side a = 5 Cm

Volume = 5³ = 125 Cm³

Answer:

125m³

Step-by-step explanation:

GIVEN :-

TO FIND :-

GENERAL FORMULAE TO BE USED IN THIS QUESTION :-

Volume of a cube = a³ (where a = length of each side of a cube)

SOLUTION :-

Volume of the cube = 5³ = 125 m³

9514 1404 393

Answer:

  11

Step-by-step explanation:

The diagonals of an isosceles trapezoid are congruent.

  DF = EG = EH +HG = 8 +3

  DF = 11

Answer:

The diagonals of an isosceles trapezoid are congruent.

 DF = EG = EH +HG = 8 +3

 DF = 11

Step-by-step explanation:

11