You spent $24 on baking ingredients, and you sell your cupcakes at a bake sale for $4 each. You sold 25 cupcakes. Did you make enough money to buy a $60 video game?

Answer:

The roots of the given equation are x = 0 and x = -8.

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Quadratic Equations

Step-by-step explanation:

Step 1: Define

Identify.

y = x² + 8x

Step 2: Find Roots

∴ the roots of the quadratic equation y = x² + 8x is equal to 0 and -8.

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Topic: Algebra I

Answer:

x=3

Step-by-step explanation:

[tex]2(5x - 3) = 24\\\\10x-6=24\\\\10x=24+6\\\\10x=30\\\\x=30/10\\\\x=3[/tex]

Answer:

open the bracket by multiplying everything in the bracket by2

then you get

2×5x-2×-3=24

10x-6=24

10x=24+6

10x=30

x=3

Answer: On my graph it says -5

Step-by-step explanation:

Answer:

The median is 5.

Step-by-step explanation:

Each dot represents one recorded value. Therefore, we can observe our data set to be [3, 3, 3, 4, 4, 5, 6, 8, 9, 10, 10].

There are 11 terms, so simply find the "middle" term. The term 5 has five values on either side of it; it is in the "middle".

Therefore, 5 is your median!

I hope this helped! :)

Answer:

Median is 5

Step-by-step explanation:

Each dot represents one recorded value. Therefore, we can observe our data set to be [3, 3, 3, 4, 4, 5, 6, 8, 9, 10, 10].

There are 11 terms, so simply find the "middle" term. The term 5 has five values on either side of it; it is in the "middle".

Step-by-step explanation:

Since the axis of symmetry is the x axis, we have a sideways parabola,

[tex] {y}^{2} = x[/tex]

Since the vertex is at the orgin, our answer will be

[tex]a(y - k) {}^{2} + h = 0[/tex]

[tex]a {y}^{2} = x[/tex]

It passes through (3,2).

[tex]a(2) {}^{2} = 3[/tex]

[tex]a(4) = 3[/tex]

[tex]a = \frac{3}{4} [/tex]

So our function is

[tex] \frac{3}{4} {y}^{2} = x[/tex]

Answer:

[tex]x=\dfrac34y^2[/tex]

Step-by-step explanation:

A graph with x-axis symmetry means that for every (x, y) point there is also a (x, -y) point on the graph, i.e. the x-axis acts like a mirror.  Therefore, it is a sideways parabola.

The general form of this type of equation is [tex]x=ay^2+by+c[/tex]

Since we know that the curve has a vertex of (0, 0) then [tex]c=0[/tex]

Therefore, [tex]x=ay^2+by[/tex]

Given that (3, 2) is on the curve, then (3, -2) is also on the curve.

Substituting the given point (3, 2):

[tex]3=a(2)^2+b(2)[/tex]

[tex]3=4a+2b[/tex]

Substituting the given point (3, -2)

[tex]3=a(-2)^2+b(-2)[/tex]

[tex]3=4a-2b[/tex]

Adding the equations together to eliminate [tex]b[/tex]:

[tex]\implies 6=8a[/tex]

[tex]\implies 3=4a[/tex]

[tex]\implies a=\dfrac34[/tex]

Therefore,

[tex]x=\dfrac34y^2+by[/tex]

Again, substituting point (3, 2) means that b = 0

Therefore, the final equation is:

[tex]x=\dfrac34y^2[/tex]

Answer:

the answer is 8

Step-by-step explanation:

I'm right, i know that for sure

Answer: set up the relation as a table or ordered pairs

Step-by-step explanation: the domain has to be matched with exactly one element in the range.

Step-by-step explanation:

Total ratio=20

Zack's ratio=9

Zack's percentage on money received=9/20×100

=45%

Answer:

Step-by-step explanation:

Ratio = 9 : 11

Total share = 9 + 11 = 20

Zack's share = 9/20

[tex]Percentage \ of \ Zack's \ money = \dfrac{9}{20}*100[/tex]

                                               = 9 * 5

                                              = 45%

45+63+(4x-12)= 180°

96+4x = 180°

4x=84

x = 21

Answer:

ngle 6 is 30 degrees. Angle 6 and angle 7 are vertical angles, so they are equivalent. Also, Angle 7 and angle 5 are supplementary, so angle 5 is 180-30 = 150 degrees.i think it is the answer

The value of x in the triangle are opposite side .

Answer:

21.2, 25.2, and 12.6 meters

Step-by-step explanation:

If this was a rectangle, the perimeter would be 3.6 + 3.6 + 7 + 7 = 21.2 m. The area of this figure would be 3.6 × 7 = 25.2 m. If this was a triangle, then the area of the figure would be 12.6 m.

Answer:

Answer:

11+ 9 = 20

Step-by-step explanation:

=> 21-9=11

21 - 9 equals to 11 is actually a wrong answer

So in order to find the subtraction problem that will help us truly know whether the equation is wrong

=> 11+ 9 = 20

Step-by-step explanation:

x and y trade places.

y = 2x² - 4

y + 4 = 2x²

x² = (y + 4)/2

x = ±sqrt((y + 4)/2)

and for the usual notation we rename x to y and vice versa

y = ±sqrt((x + 4)/2)

and this is not a function, because there are now 2 result values for every input value.

Answer:The width was 20 cm and was brought down to 5 cm, you can see that the pictures width was shrunk down 4 times because 20 divide by 4 is 5 so to find the length you would divide 30 by 4 and get 7.5 cm as your answer.

Step-by-step explanation: so rember what ever grade you are in do first 20 x 30 = 600 and 20 + 30 = 50

Answer:

11

expression: 6(2)-1

Step-by-step explanation:

6*2=12

12-1=11

Answer: y = x + 5

Step-by-step explanation:

If x>5:

Then all of these values will be positive. So the absolute value symbols are unnecessary!

so we can re-write as:

y = x-3 + x+3 - x + 5

which simplifies to:

y = x + 5

The equation is rewritten without absolute value is y=3x-6.

The absolute value of a number is defined as its magnitude irrespective of the sign of the number. To find the absolute value of a real number, we consider only the number and remove the sign. It can only be a non-negative value.

The given equation is y=|x-3|+|x+2|-|x-5|.

Here, y=x-3+x+2-x-5

y=3x-6

Therefore, the equation is rewritten without absolute value is y=3x-6.

To learn more about an absolute value visit:

https://brainly.com/question/1301718.

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Answer:

The fundamental counting principle is the primary rule for calculating the number of possible outcomes. If there are p possibilities for one event and q possibilities for a second event, then the number of possibilities for both events is p x q.

Hope you like the solution. Please mark me as brainlist.

Hope you like this helps.If you have any problems I will help u.

Answer:

20%

Step-by-step explanation:

First month = 4264 phone calls

Second month = 25% more phone calls than the first month

⇒ second month = 4264 × 1.25 = 5330

Third month = 6396 phone calls

[tex]\mathsf{percentage \ change=\dfrac{|final \ value - initial \ value|}{initial \ value}\times 100\%}[/tex]

[tex]\implies \mathsf{percentage \ change=\dfrac{6396 - 5330}{5330}\times 100\%}[/tex]

[tex]\implies \mathsf{percentage \ change=\dfrac{1}{5}\times 100\%}[/tex]

[tex]\implies \mathsf{percentage \ change=20\%}[/tex]

Answer:

25%

Step-by-step explanation:

Given the following question:

0.25 = 25__

To find the answer simply convert the decimal into a percent by multiplying the decimal by a hundred.

0.25 = 25_
[tex]0.25 \times100=25[/tex]
[tex]=25[/tex]

0.25 is equal to "25%."

Hope this helps.

Answer:

100

Step-by-step explanation:

25/100=.25

Hope this helps you! (:

Step-by-step explanation:

if there were 10 tables at the company's luncheon and the company ordered 25 pizzas then each table should have 2.5 pizzas or 2 whole number

1/2 pizza or 5/2 pizza .

Step-by-step explanation:

your teacher wrote most of the solution in this picture.

all we need to do is simplify and transform the equation

28/4 = 21/N

7 = 21/N

7N = 21

N = 21/7 = 3

formally, the ratio of corresponding (side) lengths is the same for all corresponding sides or other lines (like heights) in similar shapes.

so, the rate 28/4 = 7/1 = 7 asked also to 21 and N.

28/7 = 4

and

21/7 = N = 3

Answer:

[tex]\huge\boxed{\boxed{N=3}}[/tex]

Step-by-step explanation:

Hello.

We have the proportion

[tex]\displaystyle\frac{28}{4} =\frac{21}{N}[/tex]

In order to solve a proportion, we should cross-multiply:

28×N=4×21

28N=84

Divide both sides by 28.

N=3

And we're done!

I hope it helps & have an outstanding day!

~ST2710 :)

Answer:

13

Step-by-step explanation:

25-12=13

Answer:

she would have 13 marbles

Step-by-step explanation:

25-12=13

because she have 25 marbles in total (after buying them) and she got 12 marbles before she bought them so it would be 13.

ur question is incompleteness

The value of the investment at the end of 3 years would be [tex]\£7,524.6[/tex].

Used the formula of the total amount that is,

[tex]A = P (1 + r)^n[/tex]

Where A = Total amount.

P = Principal amount

r = Interest rate (in decimal form)

n = Number of years

Given that,

Chloe invests £6500 for 3 years at 5% per annum compound interest.

Here the given values are,

P = £6500

n = 3 years

r = 5% = 0.05

Substitute all the values in the above formula,

The value of the investment at the end of 3 years is,

[tex]A = P (1 + r)^n[/tex]

[tex]A = \£6500 (1 + 0.05)^3[/tex]

[tex]A = \£6500 \times (1.05)^3[/tex]

[tex]A = \£6500 \times 1.05 \times 1.05 \times 1.05[/tex]

Therefore, the investment at the end of 3 years is,

[tex]A = \£7,524.6[/tex]

To learn more about the Principal amount visit:

https://brainly.com/question/30163719

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Answer:

1/6

Step-by-step explanation:

Probability = favorable outcomes/total outcomes

favorable outcomes, 1: there is only one 6 on a dice.

Total outcomes, 6: there 6 numbers on a dice.

Create the fraction

1/6

Answer:

y=2x-13

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-7-(-1))/(3-6)

m=(-7+1)/-3

m=-6/-3

m=2

y-y1=m(x-x1)

y-(-1)=2(x-6)

y+1=2(x-6)

y=2x-12-1

y=2x-13

Step-by-step explanation:

x = cost of a small box

y = cost of a large box

16x + 14y =343

13x + 23y = 470.5

now we multiply both equations with factors so that we have the same number of x in both (we could the same for y, but I simply picked x, because their original factors are closer and smaller).

and then we subtract the second equation from the first and since the result for y.

13 × (16x + 14y = 343)

16 × (13x + 23y = 470.5)

gives us

208x + 182y = 4459

- 208x + 368y = 7528

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

0x - 186y = -3069

186y = 3069

y = $16.50

now let's pick e.g. the first original equation to get x :

16x + 14y = 343

16x + 14×16.5 = 343

16x + 231 = 343

16x = 112

x = $7.00

the cost of a small box is $7.00

the cost of a large box is $16.50