You decide that you will only sell two different types of frozen treats in your
ice-cream cart. You use the following criteria to help you make your decision:
• You will purchase 550 frozen treats for your cart.
• You have a budget of $450.
• Your goal is to make a profit of at least $700.
Which two frozen treats will you sell in your ice-cream cart, and how many of
each treat will you purchase? Show that your combination of frozen treats
meets the criteria.

Inequalities help us to compare two unequal expressions. The correct option is C.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

The situation that can be represented by the inequality 150 ≤ 15x + 55 is Thomas has 55 baseball cards in his collection. He will buy 15 new ones every month. Thomas collects baseball cards for x months. For what values of x will Thomas have at most 150 baseball cards?

Hence, the correct option is C.

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The solution of the liner equation 6k + 10.5 = 3k + 12 is k = 1/2.

Here, 6k + 10.5 = 3k + 12

         6k - 3k = 12 - 10.5

         3k = 1.5

          k = 1.5/3

          k = 1/2

Thus, The solution of the liner equation 6k + 10.5 = 3k + 12 is k = 1/2.

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Answer:

(5,36)(8,48)slope = (48 - 36) / (8 - 5)

Step-by-step explanation:

Answer: Equation of the system is y = 4x + 16 and in function form is f(x) = 4x + 16.

Explanation

Answer:

W.

Step-by-step explanation:

SSS, or Side-Side-Side is used to prove two triangles similar

Figure W. is the only one that uses three side marks, all of the others use at least one angle to prove them similar.

8400

Step-by-step explanation:

use multiplication
I cant reveal any more things that I know

Answer:

length= 5+ 12= 17

Step-by-step explanation:

will take width as x

then the length is x+12

perimeter = x+ x+12+x+x+12= 44

=4x= 44-24= 36

x= 20/4

x= 5

Answer:

75

Step-by-step explanation:

1/3 * 5² * 9 = V

1/3 * 25 * 9

= 75

s = area = 11.76

p = perimeter = 16.8

r=2*11.76/16.8=23.52/16.8=1.4

r=1.4

a= 90 degrees

b=36.87 degrees

c=53.13 degrees

triangle is in a circle

Circumradius: R = 3.5

angles in a triangle always equal to 180° so:

1. all the angles are equal to each other

180°÷3=60°

2.

•we know 1 angle, 68°

• straight lines are 180°-> 180°-126°= 54°

180°-68°-54°= 58°

Step-by-step explanation:

no, no, you use the equation to identify a, b and c.

then you use the formula with these values to get the solutions to the equation (the values of x for which the equation delivers 0).

always remember, a quadratic equation always has 2 solutions. sometimes at least one of them are not a real number, sometimes the 2 springs are equal, ...

x² - 4x - 2 = 0

a, b, c are the factors of the terms in x and the constant term.

so,

a = 1

b = -4

c = -2

x = (-b ± sqrt(b² - 4ac))/(2a)

x = (4 ± sqrt((-4)² - 4×1×-2))/(2×1) =

= (4 ± sqrt(16 + 8))/2 = (4 ± sqrt(24))/2 =

= (4 ± sqrt(4×6))/2 = (4 ± 2×sqrt(6)) / 2 =

= 2 ± sqrt(6)

x1 = 2 + sqrt(6)

x2 = 2 - sqrt(6)

Answer:

x = 4.45 and x=-0.45

Step-by-step explanation:

A = 1

B= -4

C = -2

= [tex]\frac{-(-4) \sqrt{ (-4)^{2} -4 (1)(-2) } }{2(1)}[/tex]

= [tex]\frac{4\sqrt{16+8} }{2}[/tex]

=  [tex]\frac{4\sqrt{24} }{2}[/tex]

X = 4 + [tex]\sqrt{24}[/tex] / 2

x = 4.45

For x2

x= 4 - [tex]\sqrt{24}[/tex] / 2

x=-0.45

30!outcof 60 were purebreds 30/60 = 1/2

1/2 of the dogs were purebreds.

18 x 1/2 = 9

Answer: 9 dogs

Answer:9 points

Step-by-step explanation:in the hyperproberbillity of things it’s this answer.

Answer:

C

Step-by-step explanation:

Recall that the volume of a sphere is given by:

[tex]\displaystyle V = \frac{4}{3}\pi r^3[/tex]

Because the sphere has a diameter of 30 cm, its radius is 15 cm. Therefore, its volume is:

[tex]\displaystyle \begin{aligned} V & =\frac{4}{3}\pi(15\text{ cm})^3 \\ \\ & = \frac{4}{3}\pi(3375\text{ cm}^3) \\ \\ & = 4500\pi\text{ cm}^3 \end{aligned}[/tex]

In conclusion, our answer is C.

Answer:  Let's just say that each of the units are 1 inch in sides, and since it's an irregular shape you have to separate each shape. So, the rectangle I separated is 14 inches.

The semicircle is 12.56.

Adding those two answers together comes out to 26.56.

Answer:

See below ~

Step-by-step explanation:

Finding the proportionality constant, k :

Table :

[tex]\left[\begin{array}{ccc}0.5&3\\1.5&9\\4.5&27\end{array}\right][/tex]

Answer:

30% are white socks

Step-by-step explanation:

percent - per 100

100- 70 = 30

=> 30% of the 100 are white socks.

Answer:

416 square centimeters

Step-by-step explanation:

Formula for finding area of a trapezoid :

A = 1/2 x (a + b) x h

Solving :

Answer:

416 cm²

Step-by-step explanation:

The figure we are given, is a trapezoid. Let's apply the "area of trapezoid" formula to determine the area of the trapezoid provided.

[tex]\boxed{\text{Area of trapezoid:} \ \dfrac{a_1 + a_2}{2} h}[/tex]

[Where a₁ and a₂ are the measure of the parallel sides and h is the height]

Let's plug the height and the parallel sides into the formula and simplify it:

[tex]\text{Area of trapezoid} = \dfrac{38 + 14}{2} \times 16}[/tex]

[tex]\text{Area of trapezoid} = \dfrac{52}{2} \times 16}[/tex]

[tex]\text{Area of trapezoid} = 26 \times 16}[/tex]

[tex]\boxed{\text{Area of trapezoid} = 416 \ \text{cm}^{2}}[/tex]

Therefore, the area of the trapezoid is 416 cm².

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Answer:

13.9

Step-by-step explanation:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Find the difference between coordinates:

(x2 - x1) = (-5 - 0) = -5

(y2 - y1) = (-3 - 10) = -13

Square the results and sum them up:

(-5)^2 + (-13)^2 = 25 + 169 = 194

Now Find the square root and that's your result:

Exact solution: √194

Approximate solution: 13.9284

Answer:

x+1y=-4

Step-by-step explanation:

use ax+by=c

The average velocity of the object after during the first three seconds is: 48m/s

The time at which the instantaneous velocity equals the average velocity within the first three seconds is 1.5 seconds.

Instantaneous velocity  is the speed of an object at a particular point in time.

Average velocity is the velocity of an object after covering a certain distance for a period of time

Analysis:

Given

initial height = 600 feet

Height with respect to time = f(t) = -16[tex]t^{2}[/tex] + 600

a) Height at t = 0 = 600 feet

    Height at t = 3 seconds = f(3) = -16[tex](3)^{2}[/tex] + 600 = 456 feet

Distance travelled  = 600 - 456 = 144 feet

Average velocity = distance travelled/time taken  = 144/3 = 48 feet/seconds

b) instantaneous velocity at time t = [tex]\frac{df(t)}{dt}[/tex] = [tex]\frac{d(-16t^{2} + 600) }{dt}[/tex] = -32t

  when instantaneous velocity equal average velocity

     -32t = -48

      t = 1.5 seconds

In conclusion, the Average velocity after 3 seconds is 48 feet per seconds and the time taken for the average velocity to equal the instantaneous velocity is 1.5 seconds.

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Answer:

y=3x-2

Step-by-step explanation:

y-y0=m(x-x0)

y-4=3x-6

y=3x-2

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

Find the equation of a line that passes through (2,4) and has a gradient of 3.

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

First, let's take a look at our provided information.

| Provided information:-

[tex]\bigstar[/tex] On simplification,

[tex]\bigstar[/tex] On further simplification,

Which results in:-

[tex]\rule{300}{1}[/tex]

95% of molds filled by this machine will hold weights in are within 1106 pounds to 1194 pounds

The empirical rule states that for a normal distribution, about 68% are within one standard deviation from the mean, 95% are within two standard deviation from the mean and 99.7% are within one standard deviation from the mean

Given a mean of 1150 pounds and a standard deviation of 22 pounds. Hence:

95% are within two standard deviations of the mean = 1150 ± 2(22) = (1106, 1194)

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Answer:

1106 - 1194

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

The value of x that yields a slope of 56 is 6.09

The given parameters are:

The slope of two points is:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

This gives

[tex]\frac{-1 -4}{6 -x} = 56[/tex]

Evaluate the difference

[tex]\frac{-5}{6 -x} = 56[/tex]

Cross multiply

56(6 - x) = -5

Divide both sides by 56

6 - x = -0.09

Make x the subject

x = 6 + 0.09

Evaluate

x = 6.09

Hence, the value of x that yields a slope of 56 is 6.09

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Based on the triangle inequality theorem, the possible length of the third side of the triangle is: 9 < x < 51

The triangle inequality theorem states if a and b are two sides of a triangle, the possible length of the third side would be: a + b < x < a - b.

Two given sides of the triangle are 30 ft and 21 ft. The possible length of the third side of the triangle would be:

30 - 21 < x < 30 + 21

9 < x < 51

Possible length of the third side would range between: 9 < x < 51

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Answer:

it is approximately 19.63.

Step-by-step explanation:

Area= pi r^2

The area of the rectangle is the product of length and width. The value of the variable x is 3.6 cm

Let L be the length and W be the width of the rectangle.

Then the area of the rectangle will be

Area of the rectangle = L × W square units

The diagram is given below.

Let A₁ be the area of the small rectangle and A be the area of the large rectangle.

                 A₁ = 1/4 A

               4A₁ = A

4 × 2× (12 - x) = 12 × (x + 2)

       8(12 - x ) = 12x + 24

         96 - 8x = 12x + 24

                 72 = 20x

                   x = 3.6

Then the value of the variable x is 3.6 cm

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