A sundae at an ice-cream shop costs $3, and each extra ounce of toppings costs $0.50. Which inequality shows the number of ounces of toppings you can get without spending more than $5

Answer:

Now we can solve a Quadratic Equation in 5 steps:

Step 1 Divide all terms by a (the coefficient of x2).

Step 2 Move the number term (c/a) to the right side of the equation.

Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

Answer:

Example:

now easily solved

Answer:

Which quadratic equation models the main cable of the bridge correctly?

y = 0.048x2 – 2494

y = 0.048x2 – 6

y = 0.0048(x – 50)2 + 6 (This is correct)

y = 0.0048(x – 6)2 + 50

The value of a is 0.0048.

Given that,

The main cable of a suspension bridge forms a parabola described by the equation,

[tex]\rm y = a(x-50)^2+6[/tex]

We have to find,

The value of a.

According to the question,

The given relationship between the variables x and y is,

[tex]\rm y = a(x-50)^2+6[/tex]

In the given graph the points of the parabola are (30, 7.92), (50, 6), and (70, 7.92)

1. The value of an at the point (30, 7.92) is,

[tex]\rm y = a(x-50)^2+6\\\\7.92 = a (30-50)^2 +6\\\\7.92 = a(-20)^2 + 6\\\\7.92 = 400a +6\\\\7.92 -6 = 400a\\\\1.92 = 400a\\\\a = \dfrac{1.92}{400}\\\\a = 0.0048[/tex]

2. The value of an at the point (70, 7.92) is,

[tex]\rm y = a(x-50)^2+6\\\\7.92 = a (70-50)^2 +6\\\\7.92 = a(20)^2 + 6\\\\7.92 = 400a +6\\\\7.92 -6 = 400a\\\\1.92 = 400a\\\\a = \dfrac{1.92}{400}\\\\a = 0.0048[/tex]

3.  The value of an at the point (50, 6) is an infinite solution the value of a is not defined at the points.

Hence, The value of a is 0.0048.

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Answer:

look on symbolab got my answer from there'

Step-by-step explanation:

Answer:

22 bagssss i am right because i did 4 time 4 times 1 and got 16 and then i divided that by 0.75 and got 21.33333 and since you can't get a 0.3333333 of a bag you have to get one extra so it would be 22

Step-by-step explanation:

The answer choice which could be used to make a bow with the least amount remaining is; 1 2/5 yards.

It follows from the task content that the amount of ribbon remaining in each case can be evaluated as follows;

For 1 2/5 yards: 1 2/5 - 1 1/3 = 1/15. renders only 1/15 a yard to waste.

For 1 and 1/6 yards would render a waste of 1 1/6 yards since it is not possible to make a ribbon out of it.

1 2/10 yards would render a waste of 1 and 1/5 yards since it is not possible to make a ribbon out of it.

Read more on fractions;

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Answer:

6 Chickens

Step-by-step explanation:

Let  H represent the number of horses and  C represent the number of chickens. Since there are 32 legs altogether this means that on equation to use would be given by:

2C  +  4 H  =  32     (Eq. 1)

Another equation can be made from the fact that there are 11 heads or 11 animals altogether which can be written as:

C  +  H  =  11    (Eq. 2)

From Eq. 2, solve for the number of chickens:

C  +  H  =  11

C   =  11  - H    (Eq. 3)

Substituting Eq. 3 in Eq. 1, the number of horses can be determined:

2 C  +  4 H  =  32

2 ( 11  −  H )  +  4 H  =  32

22   −  2 H  +  4 H  =  32

2H  =  32  − 22

2 H  = 10

H = 5               Eq.4

Putting Eq.4 in Eq.1

2C + 4*5 =  32

2C = 32 - 20

2C = 12

C = 12/2

C = 6

Answer:

[tex]\frac{11}{13}[/tex]

Step-by-step explanation:

There are 4 aces and 4 kings.

[tex]\frac{8}{52} =\frac{2}{13}[/tex]

Now just subtract that from 1.

[tex]\frac{11}{13}[/tex]

Answer:

[tex]\frac{7}{9}[/tex] OR 77.78%

Step-by-step explanation:

So, we first need to find out how many numbers fit the "less than 29 or odd" group.

This would be: 1, 2, 3, 5, 15, 21, and 29, which is a total of 7 numbers.

Next, we figure out the total amount of numbers in the population.

This would be: 1, 2, 3, 5, 15, 21, 29, 38, and 500, which is a total of 9 numbers.

Finally, we put the first number (7) over the total (9) = [tex]\frac{7}{9}[/tex]

[tex]\frac{7}{9}[/tex] is now able to be written in a percentage, if you need.

The probability is [tex]\frac{7}{9}[/tex] OR 77.78%

Answer:

The correct option is;

D. AAS Congruence Theorem

Step-by-step explanation:

Quadrilaterals ADEB is a parallelogram

Given that the following statements have been proved;

i) Segment AB is congruent to segment DE

ii) Angle FDE is congruent to angle FBA

iii) Angle DFE  is congruent to angle AFB

Then triangle AFB is congruent to triangle EFD Angle Angle Side (AAS) Congruence Theorem

Answer:

The area of the rectangle is 880 cm

Step-by-step explanation:

Lenght = 55cm

Breadth/width=16cm

Area of rectangle= lenght×breadth

Area= 55×16

Area= 880

Hence, area of rectangle is 880cm

P.S - Mark me as the brainliest :D

Answer:

Table 1,

1 16

2 8

3 4

4 2

Step-by-step explanation

The equation for this function can be written as

y = 16^1/x

This is exponential decay.  

Answer: table 1

Step-by-step explanation:

Answer: C.5

The answer is 5.

Why is there a twenty character minimum on brainly? what a stupid idea

I agree with the other person. The answer is C 5 which can be shown in the diagram below.

The red outlines mark these blocks. Note that the upper two red blocks in the far right portion are underneath a set of blocks that are on the second story of this "building" of sorts.

Answer:

may be 25

idk the real but might be 25

Step-by-step explanation:

Answer:

When comes to initial value, x is equals to 0.

So x = 0 is substitute into the function.

In Indices Law, any values to the power of 0 will be 1.

So the initial value of function will be :

[tex]f(x) = a( {b}^{x} )[/tex]

[tex]f(0) = a \times {b}^{0} [/tex]

[tex]f(0) = a \times 1[/tex]

[tex]f(0) = a[/tex]

Answer:

A

Step-by-step explanation:

r^2 = (x - k)^2 + (y - h)^2

Work Shown:

(h,k) = (2,-2) is the center. So h = 2 and k = -2

r = 4 is the radius. We go 4 units from the center C to point P

Therefore,

(x-h)^2 + (y-k)^2 = r^2

(x-2)^2 + (y-(-2))^2 = 4^2

(x-2)^2 + (y+2)^2 = 16

Answer:

280

Step-by-step explanation:

Answer:

The value of q = 11

Step-by-step explanation:

Number of pure cotton shirts = [tex]\frac{4+q}{20}[/tex]

Probability of drawing pure cotton shirts = [tex]\frac{4+q}{20}[/tex] = [tex]\frac{3}{4}[/tex]

Substituting the above problem = 4(4 + q) = 3 x 20

                                                     =  16 + 4q = 60

                                                     = 4q = 60 - 16 = 44

                                                     = q = [tex]\frac{44}{4}[/tex]

∴ q = 11

Answer:

(-9,9) or (-9,-7) are the possible coordinates

Step-by-step explanation:

We can use the formula for the distance between two points to get this

Mathematically, this can be;

d = √(x2-x1)^2 + (y2-y1)^2

Now let our point A be (x1,y1) = (-9,n)

let’s say y1 is n for now

For point B, we have (x2,y2) = (3,2)

and our d is 15 units

Inputing the values, we have

15^2 = (3+9)^2 + (2-n)^2

225 = 144 + (2-n)^2

225-144 = (2-n)^2

(2-n)^2 = 81

(2-n) = √(81)

2-n = -9

or 2-n = 9

n = 11 or n = -7

Now the possible coordinate values of point A are;

(-9,9) or (-9,-7)

Answer:

Step-by-step explanation:The distance between points is given by the following equation:

 d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)

 Substituting we have:

 15 = root ((- 9 -3) ^ 2 + (a-2) ^ 2)

 We clear the value of a:

 (15) ^ 2 = (root ((- 12) ^ 2 + (a-2) ^ 2)) ^ 2

 225 = (- 12) ^ 2 + (a-2) ^ 2)

 Rewriting:

 225 = 144 + (a-2) ^ 2

 225-144 = (a-2) ^ 2

 81 = (a-2) ^ 2

 a-2 = +/- root (81)

 a = +/- 9 + 2

 The possible values are:

 a1 = 9 + 2 = 11

 a2 = -9 + 2 = -7

 Then, the possible coordinates of point a are:

 (-11, 11)

 (-11, -7)

 Answer:

 the possible coordinates of point a are:

 (-11, 11)

 (-11, -7)

Step-by-step explanation:

equality have the same values where as inequality have different values

Answer:

using the properties of equality on any equation will not change the solution set. When multiplying or dividing an any quality by a negative number, you must reverse the inequality symbol or he will not get the correct solution set.

Step-by-step explanation:

Answer:

x = a^2 b

Step-by-step explanation:

log x = 2 log a + log b

We know that

c log d = log d^c

log x =  log a^2 + log b

We know that log c* log d = log cd

log x =  log a^2 b

Since they are both logs

x = a^2 b

Please find attached photograph for your answer.

Answer:

1) If the coefficent of any variable is zero then the answer of the variable is 0.

2) There are two answers in a system of equations.

Answer:

slope = - [tex]\frac{1}{2}[/tex], y- intercept = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 1) and (x₂, y₂ ) = (2, 0) ← 2 points on the line

m = [tex]\frac{0-1}{2-0}[/tex] = - [tex]\frac{1}{2}[/tex]

The y- intercept is the value of y where the graph crosses the y- axis.

y- intercept = 1

Answer:

C

Step-by-step explanation:

C is the correct answer because the other 3 points are not correct when you put the numbers into the equation.

y = 16 + 0.5x

20 = 16 + 0.5(8)

20 = 20

Answer:

the range of the function is ∞

Answer:

50000y^9.

Step-by-step explanation:

(2y)^4 * (5y)^5

= 2^4 y^4 *  5^5 y^5

= 16y^4 * 3125y^5

= 50000y^9.

Answer:

B. 32°

Step-by-step explanation:

Since two of the sides are 10 in length, then we can infer that ∠A and ∠C are congruent. So, both equal 74°. You add 74 + 74 + x = 180, x would equal 32°.

Answer:

B

Step-by-step explanation:

sum of angle in triangle is 180

and since its isosceles triangle, it means <C will be same with <A

so we know that A + C = 148.

so the value of B will be like this

B = 180° - (A+C)° = 180 - 148 = 32°

Answer:

11

Steps:

Find the prime factores of 396.

These are 2x2x3x3x11.

Circle all the pairs and pick out the one that does not have a pair. In this case it is 11.

You can either multiply 396 by 11 or divide by 11 to make it a perfect square.

Since the question asks for divide. It’s 11

Hope this helps.

Good Luck

Answer:

Step-by-step explanation:

Prime factorize 396

396  = 3 * 3 * 2 * 2 * 11

       = 3² * 2² * 11

So, to make 396 a perfect square, divide 396 by 11

396÷11 = 36 is a perfect square

Answer:

2

Step-by-step explanation:

12-2= m(2+3)

m= 10/5=2

Answer:

-2x²(x-3)

Step-by-step explanation:

= -2x³ + 6x²

Takind -2x² as common we'll get

= -2x²(x-3) [Completely Factorized]

Answer:

−2x2(x − 3)

Step-by-step explanation:

i just took the test