The regular price of an ice cream cone is $1.25 but on Monday it sells for $0.95. Karen and her friends bought 5 ice cream cones on Saturday, 3 on Sunday and 4 on Monday. Calculate the average price they paid for ice cream.

Given that,

An equation : [tex]x^2 + 13x + 30 = 0[/tex]

To find,

The value of x.

Solution,

We have, [tex]x^2 + 13x + 30 = 0[/tex]

We can solve it as follows :

[tex]x^2 + 10x +3x+ 30 = 0\\\\x(x+10)+3(x+10)=0\\\\(x+3)(x+10)=0\\\\(x+3)=0\ \text{and}\ (x+10)=0\\\\x=-3\ \text{and}\ x=-10[/tex]

So, the solution of the given equations are -3 and -10.

Question:

Alex skateboards at a constant speed from his house to school 3.8 miles away. It takes him 18 minutes.

a. What fraction represents his constant speed, c?

b. After school, Alex skateboards at the same constant speed to his friend’s house. It takes him 10 minutes.  Write the fraction that represents constant speed, c, if he travels a distance of y.

c. Write the fractions from parts(a) and (b) as a proportion, and solve to find out how many miles Alex’s  friend’s house is from school. Round your answer to the tenths place.

Answer:

(a) [tex]c = \frac{3.8}{18}[/tex]

(b) [tex]c = \frac{y}{10}[/tex]

(c) 2.1 miles

Step-by-step explanation:

Solving (a):

Given

[tex]Distance = 3.8\ miles[/tex]

[tex]Time = 18\ minutes[/tex]

Required

Determine the constant speed, c.

Speed is calculated as:

[tex]Speed = \frac{Distance}{Time}[/tex]

So, we have:

[tex]c = \frac{3.8}{18}[/tex]

Solving (b):

Given

[tex]Distance = y[/tex]

[tex]Time = 10\ minutes[/tex]

Required

Determine the constant speed, c.

Speed is calculated as:

[tex]Speed = \frac{Distance}{Time}[/tex]

So, we have:

[tex]c = \frac{y}{10}[/tex]

Solving (c): Write (a) and (b) as proportions and solve for y.

As a proportion, we have

[tex]\frac{y}{10} = \frac{3.8}{18}[/tex]

Multiply both sides by 10

[tex]10 * \frac{y}{10} = 10 * \frac{3.8}{18}[/tex]

[tex]y = 10 * \frac{3.8}{18}[/tex]

[tex]y = \frac{38}{18}[/tex]

[tex]y = 2.11111[/tex]

[tex]y = 2.1\ miles[/tex]  ---- approximated

Answer:

[tex]\sqrt\frac{2+\sqrt{2}}{2-\sqrt{2}}[/tex]

Step-by-step explanation:

correct on edge2020

The required exact value of tan(67.5°) is -2 + √(2).

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.

Here,
The exact value of tan(67.5°) can be found using the half-angle identity for the tangent, which states that:

tan(x/2) = (1 - cos(x)) / sin(x)

We can use this identity with x = 135 degrees since 67.5 degrees is half of 135 degrees. So:

tan(67.5°) = tan(135°/2) = (1 - cos(135°)) / sin(135°)

We can then use the following exact values:

cos(135°) = -√(2)/2

sin(135°) = -√(2)/2

Substituting these values, we get:

tan(67.5°) = (1 + √(2)/2) / (-√(2)/2)

Rationalizing the denominator, we get:

tan(67.5°) = -2 + √(2)

Therefore, the exact value of tan(67.5°) is -2 + √(2).

Learn more about trig ratios here:

https://brainly.com/question/14977354

#SPJ6

Answer:

90.6

Step-by-step explanation:

89.7 + 92.6 + 83.9 + 96.2=

362.4

362.4 divided by 4 =

90.6

Answer:

286

Step-by-step explanation:

I dit 220+30%=286

Answer:

$286

Step-by-step explanation:

220 • 0.3 = 66

220 + 66 = 286

Answer:

x= -10 1/5 or -10.2

Step-by-step explanation:

Answer:

2.7 miles

Step-by-step explanation:

25 - 10.4 - 4.5 - 7 2/5 will give you 2.7

Answer:

8 miles

Step-by-step explanation:

If we divide 70 by 50, we get the unit rate for the ratio 70 minutes for every 50 miles.

70÷50=1.4

So the runner is running 1.4 minutes per mile. We can multiply this unit rate by the number of miles:

1.4 minutes mile × 5 miles = 7 minutes

Thus it will take her 7 minutes to run 5 miles at this pace.

If it takes her 7 minutes to run 5 miles, it will take her 7÷5 = 1.4 minutes to run 6÷3=2 miles at the same pace.

If it takes her 1.4 minutes to run 5 miles, it will take her 1.4×5=7 minutes to run 4×2=8 miles at the same pace. Since 60 minutes is 1 hour, she is running at a speed of 8 miles per hour.

We found her pace in minutes per miles in part (a).

9514 1404 393

Answer:

  p = 192

Step-by-step explanation:

p/8 +12 = 36 . . . . . given

p/8 = 24 . . . . . . . . .subtract 12

p = 8·24 . . . . . . . . .multiply by 8

p = 192

Answer:

What do you need help with

Step-by-step explanation:

Answer:

D= distance covered by amount (g) gallons

D=23g

Step-by-step explanation:

Answer:

Since I am not given an increase number i will solve for numbers 1-5

1 - 25000%

2 - 12500%

3 - 8333.333333333332%     (I recommend you don't use this one)

4 - 6250%

5 - 5000 %

Each number, it will increase by 250% no matter what

Its the same as increasing by 250%

Hope this helps <3

Answer:

We have to see the circle in order to help you

Answer:

X=2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

Answer: No, because the length of the diagonal is close to 9 feet.

Step-by-step explanation:

Answer:

The value of a is 25

Step-by-step explanation:

When two angles are supplementary, they add up to 180 degrees

Mathematically,

(30 + 2a) + (125-a) = 180

30 + 2a + 125 - a = 180

a + 155 = 180

a = 180-155

a = 25 degrees

Answer:

38

Step-by-step explanation:

All you have to do to find the perimeter of a 2D shape is to add the sides and put the unit of measurement at the end of your answer.

Perimeter of ABCD is 38 units.

From the picture attached,

Perimeter of the given parallelogram = AB + BC + CD + DA

                                                              = 9 + 10 + 9 + 10

                                                              = 38 units

     Therefore, perimeter of the given parallelogram will be 38 units.

Learn more about the perimeter of a quadrilateral here,

https://brainly.com/question/341702?referrer=searchResults

Answer:

Step-by-step explanation:

To obtain the strongest mix :

Maria:

2 cups of concentrate ; 5 cups of water

Ratio = 2/5 = 0.4 concentrate per 1 cup of water

Laurie:

3 cups of concentrate ; 7 cups of water

Ratio = 3/7 = 0.4285714 concentrate per 1 cup of water

0.4285714 > 0.4

Hence, Laurie's mix is the strongest as it has higher concentrate per cup of water.

Answer:

x²+11x+28

Step-by-step explanation:

(f - g) (x) = f(x) - g(x)

x² + 12x + 32 - (x + 4) = x² + 11x + 28

Answer: Yes, it is in the blue shaded area

Step-by-step explanation:

Answer:

x = 5, y = -1

Step-by-step explanation:

2x+3y=7

4x-5y=25

Keep the second equation the same, but change the first equation so you have something to substitute into.

3y= -2x+7

y= -2/3x + 7/3

substitute into second equ.

4x + 10/3x - 35/3 = 25

put the variables on one side, and the numbers on the other.

22/3x = 110/3

divide by 3

22x = 110

x = 5

Substitute x = 5 into the first equation,

10 + 3y = 7

move numbers to one side, and variables to the other.

3y = -3

y = -1

Answer:

x = 5, y = - 1

Step-by-step explanation:

2x + 3y = 7

4x - 5y = 25

In the second equation, solve for y in terms of x:

4x - 5y = 25

- 5y = 25 - 4x

- y = 5 - 4x/5

y = - 5 + 4x/5  Now substitute this for y in equation 2x + 3y = 7

2x + 3(-5 + 4x/5) = 7

2x - 15 + 12x/5 = 7

10x/5 - 15 + 12x/5 = 7

22x/5 = 7 + 15

22x/5 = 22  Now multiply both sides by 5/22 to isolate :

x = 5

Now substitute this value (x = 5) into 4x - 5y = 25 to solve for y:

4(5) - 5y = 25

20 - 5y = 25

- 5y = 5

y = - 1

You can check that these are correct by substituting x = 5 and y = -1  into the above equations to make sure they check out.

Answer:

The answer to the question provided is

[tex] - \frac{3}{2} [/tex]

Answer:

4^9

262144

Step-by-step explanation:

Answer:

(- 3, 0 ), (4, 0 )

Step-by-step explanation:

To find the x- intercepts let f(x) = 0

[tex]\frac{x^2-x-12}{5x^2+ 4x}[/tex] = 0

The denominator cannot equal zero as this would make f(x) undefined.

Equate the numerator to zero and solve for x

x² - x - 12 = 0 ← in standard form

(x - 4)(x + 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 3 = 0 ⇒ x = - 3

x- intercepts are (- 3, 0 ) and (4, 0 )

Answer:

2.73

Step-by-step explanation:

You round 6 up to get 2.73

Please give brainliest and thank me if it helped

2x^4 + 3x^3 - 5x + 6  ÷ x^2 + 3x - 2

= 2x^6 + 3x^5 − 2x^3 − 2x^2 + 6/ x^2

Answer:

VA

Step-by-step explanation:

Angle VYA = 180-94-46 = 40 degrees.

Know that the side length opposite the smallest angle has the smallest length.

VY and VA are the two smallest, but 40 < 46, therefore VA is the shortest length.

Short (and not very rigorous) proof:

The law of sines says that sinA/a = sinB/b = sinC/c, where x is the side opposite the angle X

sin46/YV = sin40/VA

sin46 > sin40, therefore YV > VA.

Answer:

A. 0.0058

Step-by-step explanation:

Answer:

its correct bro ;) click next

Answer:

They both talk for a different amount of time