Write and solve an equation

Pang drove to his mother's house to drop off her new TV.
He drove at 50 miles per hour there and back, and spent 10 minutes dropping off the TV
The entire journey took him 94 minutes. How far away does his mother live?

Answer:

y² + x²

Step-by-step explanation:

Given

(y + x)² - 2xy ← expand (y + x)² using FOIL

= y² + 2xy + x² - 2xy ← collect like terms

= y² + x²

Ans2x + 2y -2xy

Step-by-step explanation:

First You need to distribute 2 to both x and y. 2x + 2y-2xy

Answer:

1.6<x<9.6

Step-by-step explanation:

Triangle says the sum of any 2 sides is bigger than the third.

Assume a,b,c are side measurements of a triangle.

So if you know two sides a and b then the third number, c, is such that |b-a|<c<a+b.

So just add the given numbers and find the positive difference.

5.6+4=9.6

5.6-4=1.6

The sum that represents the number of tickets sold if 35 tickets were sold Monday, half of the remaining tickets were sold on Tuesday and 14 tickets were sold on Wednesday.

To start solving this, we can assign t as the variable to the total number of tickets that were sold. So, t = 35 (for Monday) + (t - 35)/2 (for Tuesday) + 14 (for Wednesday). To solve this, we can say t = 49 + (t - 35)/2, or 2t = 98 + t - 35, which equals t = 63. Therefore, 63 tickets were sold total.

Answer:

please mark my answer brainliest

Step-by-step explanation:

- 2a -12

Answer:

You just answered my question so you can ask yours, what a sped. Now i'm doing the same thing.

Step-by-step explanation:

Answer:

She spend[tex]\frac{7}{24}[/tex] more on erasers than rulers.

Step-by-step explanation:

We are given that Isabelle bought some stationery.

Fraction of pencil = [tex]\frac{1}{3}[/tex]

Remaining stationary =[tex]1-\frac{1}{3}=\frac{2}{3}[/tex]

5/8 of the remainder were erasers

So, part of eraser in stationary=[tex]\frac{5}{8} \times \frac{2}{3}=\frac{5}{12}[/tex]

Remaining stationary(rulers)=[tex]\frac{2}{3}-\frac{5}{12}=\frac{1}{4}[/tex]

Cost of ruler = $0.50

Cost of [tex]\frac{1}{4}[/tex]rulers =[tex]0.50 \times \frac{1}{4}=\frac{1}{8}[/tex]

Cost of eraser=$1

Cost of [tex]\frac{5}{12}[/tex] eraser=[tex]\frac{5}{12}[/tex]

Difference in cost of eraser and rulers =[tex]\frac{5}{12}-\frac{1}{8}=\frac{7}{24}[/tex]

Hence She spend[tex]\frac{7}{24}[/tex] more on erasers than rulers.

Answer:

Step-by-step explanation:

2371 x1.84 = 4362

4362 ÷ 36.92 = 118

the answer would be 118.1646804 but since the lowest sig fig in the question is 3 (1.84), we would have to round the answer to 3 SIG figs.

Final answer: 118

Answer:

Step-by-step explanation:

AB ≅ BC.  So, ΔABC is an isosceles triangle

Opposite angles of equal sides are equal.

∠BAC = ∠BCA = x°

In ΔABC,

∠ABC + ∠BAC + ∠BCA = 180  {Angle sum property of triangle}

 56 + x + x = 180

56 + 2x = 180

        2x = 180 - 56

         2x = 124

           x = 124/2

           x = 62°

∠BAC = ∠BCA =  62°

∠DCF = ∠BCA   {Vertically opposite angles}

∠DCF = 62°

CDEF is a parallelogram.

In parallelogram, opposite angles are congruent.

∠DEF = ∠DCF

∠DEF = 62°

In a parallelogram, sum of adjacent angles = 180

∠DEF + ∠CDE = 180

62 + ∠CDE = 180

       ∠CDE = 180 - 62

      ∠CDE = 118°

∠CFE = ∠CDE   {In parallelogram, opposite angles are congruent}

∠CFE  = 118°

Answer:

3

Step-by-step explanation:

Answer:

$3 per guest

Step-by-step explanation:

18/6

= 3

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Given

[tex]\frac{3}{12}[/tex] ← divide numerator and denominator by 3

= [tex]\frac{1}{4}[/tex]

Answer:

It is C.

Step-by-step explanation:

Too lazy to explain.

Answer:

A). [tex]2p^{8}[/tex]

B). [tex]3m^{7}[/tex]

Step-by-step explanation:

A). [tex]\sqrt{4p^{16}}[/tex]

    To get the square root of the given expression we will convert it into the square form.

[tex]4p^{16}=(2)^2(p^{8})^2[/tex] [Since 2×2 = 4 and [tex]p^{8}\times p^{8}=p^{16}[/tex]]

Therefore, [tex]\sqrt{4p^{16}}=\sqrt{2^{2}\times (p^{8})^2 }[/tex]

                             [tex]=2p^{8}[/tex]

B). [tex]\sqrt{9m^{44}}[/tex]

    Since, [tex]9m^{14}=(3)^2\times (m^7)^2[/tex]

    Therefore,  [tex]\sqrt{9m^{44}}=\sqrt{(3)^2\times (m^7)^2}[/tex] [Since 3² = 9 and (m⁷)² = m¹⁴]

                                   [tex]=3m^{7}[/tex]

Answer:

196 degrees

Step-by-step explanation:

360-164=196 degrees

the arch CDF=2*82=164

so the arch CGF =360-164=196 degrees

Answer:

see explanation

Step-by-step explanation:

Solving

4x + 8 = 20 ( subtract 8 from both sides )

4x = 12 ( divide both sides by 4 )

x = 3

Each pack contains 3 paintbrushes

Answer:

x=3

Step-by-step explanation:

since the equation to use has already been given,you just have to group the like terms and solve for x

4x+8=20

4x=20-8

4x=12

then divide both sides by 4 in order to remain with x on one side

4x/4=12/4

x=3

each pack contains 3 paint brushes.

I hope this helps

Answer:

[tex]f(x) = 5 - (x - 4)^2[/tex].

Step-by-step explanation:

[tex]f(x) = 5 - (x - 4)^2[/tex]

[tex]f(x) = 5 - (x-4)*(x-4)[/tex]

[tex]f(x) = 5 - (x^2 - 4x - 4x + 16)[/tex]

[tex]f(x) = 5 - (x^2 - 8x + 16)[/tex]

[tex]f(x) = 5 - x^2 + 8x - 16[/tex]

[tex]f(x) = -x^2 + 8x - 11[/tex].

Hope this helps!

Answer:

x = 16

Step-by-step explanation:

The figure shown shows an inscribed angle F and central angle E. Both angles intercept the same arc.

Therefore, angle E is twice the measure of angle F, according to the central angle theorem of a circle.

Thus,

m<E = 2 * m<F

(x + 94)° = 2(55)

We can find the value of x with this equation.

x + 94 = 110

Subtract 94 from both sides

x = 110 - 94

x = 16

Answer:

[tex]d = \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} }[/tex]

Step-by-step explanation:

[tex]d = \sqrt{( - 4 + 3) {}^{2} + (7 - 9) {}^{2} } [/tex]

[tex]d = \sqrt{(1 + 4)} = \sqrt{5} [/tex]

Answer:

3rd option, 2√10

Step-by-step explanation:

x²=4×10

or, x=√(4×10)

or, x=2√10

Answer: C, 2√10

Step-by-step explanation:

Answer:

Step-by-step explanation:

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

Work Shown:

[tex]33^{-1} \equiv 77 \text{ (mod 508)}\\\\(3*11)^{-1} \equiv 77 \text{ (mod 508)}\\\\3^{-1}*11^{-1} \equiv 77 \text{ (mod 508)}\\\\3*3^{-1}*11^{-1} \equiv 3*77 \text{ (mod 508)}\\\\11^{-1} \equiv 231 \text{ (mod 508)}\\\\[/tex]

Notice how 33*77 = 2541 and 11*231 = 2541

[tex]2541 \equiv 1 \text{ (mod 508)}[/tex] since 2541/508 has a remainder of 1.

So effectively [tex]33*77 \equiv 1 \text{ (mod 508)}[/tex] and [tex]11*231 \equiv 1 \text{ (mod 508)}[/tex]

Answer:

y=2x-4

Step-by-step explanation:

The slope of the line is 2 and y intercept is - 4. The equation will be y=2x-4

Al plantear un sistema de ecuaciones lineales, encontramos que el número de obreros que contrató el ingeniero civil fue 50.

Para encontrar el número de obreros que el ingeniero contrató debemos plantear un sistema de ecuaciones lineales de dos ecuaciones con dos incógnitas, tal como sigue:

[tex] M - 1400*x = -8000 [/tex]   (1)

[tex] M - 1200*x = 2000 [/tex]   (2)

En donde:

M: es la incógnita igual al monto de dinero del ingeniero

x: es la incógnita igual al número de obreros

De la ecuación (1) tenemos:

[tex] M = 1400*x - 8000 [/tex]   (3)

Podemos encontrar el valor de x (número de obreros), introduciendo la ecuación (3) en la ec (2):

[tex] 1400*x - 8000 - 1200*x = 2000 [/tex]

[tex] 200*x = 10000 [/tex]

[tex] x = 50 [/tex]

El monto de dinero inicial del ingeniero sería entonces (ec 3):

[tex] M = 1400*50 - 8000 = 62000 [/tex]

Por lo tanto, el número de obreros que contrató el ingeniero es 50.

Puedes aprender sobre otro método de resolución de sistemas de ecuaciones lineales ingresando acá: https://brainly.com/question/10831551?referrer=searchResults                                    

Espero que te sea de utilidad!

Answer:

didn't shade all of them

Answer:

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

Since we are to find the probability that 2 randomly selected points from Q,R,S,T and W are non-collinear

Non collinear points are points that doesn't lie on the same straight line. From the diagram given, the two point that are non colliear are (QR, QS, QT and QW making 4 2random non collinear points. Hence out expected number of outcome is 4.

For the total possible outcome, we are to find the number of ways we can randomly select two points from the 5 points given and this can be done using the combination rule.

This can therefore be done in 5C2 number of ways.

5C2 = 5!/(5-2)!2!

5C2 = 5!/3!2!

5C2 = 5*4*3*2*1/3*2*2

5C2 = 5*2

5C2 = 10 different ways

Hence the total possible outcome is 10

Therefore, the probability that 2 randomly selected points from Q,R,S,T and W are noncollinear will be 4/10 = 2/5

Answer:

the answer is 44

Step-by-step explanation:

4*2=8

48-(32:8)

48-(4)

44

I really hope it helps:))))))))))

Answer:

C. 32

Step-by-step explanation:

Order of Operations: Multiplication/Division (left to right) comes before Addition/Subtraction (left to right).

48 - 32/4 x 2 (Division)

48 - 8 x 2 (Multiplication)

48 - 16 (Subtraction)

32

Note that the  quadratic model for the data is  y = -0.008x² + 0.75x + 13.47.

Here are the steps on how to  find a quadratic model for the data.

Here is the output of the quadratic regression feature on my graphing calculator

y = -0.008x² + 0.75x + 13.47.

where  -

x is the speed in miles per hour

y is the fuel economy in miles per gallon.

Learn more about Quadratic equation at:

https://brainly.com/question/1214333

#SPJ1

The concept of greatest common factor is used to solve this question. Then, we use it to find the number of crackers and slices of cheese, and the answer is:

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

To find the greatest number of plates, you need to find the greatest common factor between 12 and 18.

Thus, factoring them, always by the same number:

12 - 18|2

6 - 9|3

2 - 3

The greatest common factor is 2x3 = 6, which means that the greatest number of plates you can prepare is 6.

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

18 crackers, so each plate has 18/6 = 3 crackers.

12 slices of cheese, so each plate has 12/6 = 2 slices of cheese.

A similar question is given at https://brainly.com/question/18454593

Answer:

16+74

Step-by-step explanation:

substitute 16 into the equation