The cost of making a cake is $5. the Baker wants to make a profit of $10 per cake and the cake is to be cut into 30 pieces, what is the selling price of each piece?

Answer:

22, 25, 28

Step-by-step explanation:

10 + 3 = 13

13 + 3 = 16

16 + 3 = 19

19 + 3 = 22

22 + 3 = 25

25 + 3 = 28.

all numbers go up by three points

Answer:

Number 3 is correct.

129.19m

Step-by-step explanation:

You might be wondering how did I got 32⁰, well, that's because they are alternate angles.

Now, we're trying to find the opposite side of the triangle.

Using the laws,

we got cos32⁰=x/243.8

243.8cos32⁰=x

129.19⁰

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Differentiate both sides with respect to x, using the chain rule for the sine term:

[tex]\cos(x) + \sin(y) = 1[/tex]

[tex]\implies -\sin(x) + \cos(y)\dfrac{\mathrm dy}{\mathrm dx} = 0[/tex]

Solve for dy/dx :

[tex]-\sin(x) + \cos(y)\dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ \cos(y) \dfrac{\mathrm dy}{\mathrm dx} = \sin(x) \\\\ \boxed{\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\sin(x)}{\cos(y)}}[/tex]

Using the z-distribution, it is found that the 95% confidence interval to estimate the mean SAT math score in this state for this year is (472, 488).

We have the standard deviation for the population, which is why the z-distribution is used to solve this question.

The interval is given by:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

We have to find the critical value, which is z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex], in which [tex]\alpha[/tex] is the confidence level.

In this problem, [tex]\alpha = 0.95[/tex], thus, z with a p-value of [tex]\frac{1 + 0.95}{2} = 0.975[/tex], which means that it is z = 1.96.

Then:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 480 - 1.96\frac{100}{\sqrt{656}} = 472[/tex]

[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 480 + 1.96\frac{100}{\sqrt{656}} = 488[/tex]

The 95% confidence interval to estimate the mean SAT math score in this state for this year is (472, 488).

A similar problem is given at https://brainly.com/question/22596713

Answer:

-2.5 or -5/2

Step-by-step explanation:

To find the slope we need to find the change in y and divide it by the change in x:

m = change in y ÷ change in x

m = (-5 - 20) ÷ (11 - 1)

m = 25 ÷ -10

m = -2.5 or -5/2

Hope this helps!

Answer:

D. 5

Step-by-step explanation:

read each number from the plot. remember each x represents one number so there are 11 numbers. you divide it then it gives you 5

Answer: The answer is 6

Hopefully, this is correct!

Answer:

1 : 9

2 : 24

Step-by-step explanation:

Answer:

9 < 24

Step-by-step explanation:

1.4 x 10 = 14

14 - 5 = 9

2.8 x 10 = 28

28 - 4 = 24

I am assuming this is an inequality.

Hope This Helps!

Answer:

400=(×+20)× is the equation or

400=×^2+20×

(×+10)= square root of 500

×+10=10 radical 5

final answer -10 + or - 10 radical 5=×

Answer:

$400 per month

Step-by-step explanation:

20 - per student

10 groups of 2,

so 20 students

20 * 20 = 400

$400

Answer:

$400

Step-by-step explanation:

10 groups of 2 students so multiply 10 by 2 to get the total of how many students so if he gets $20 per student you will multiply the number of students by the rate which is $20 giving a total of $400

Answer:2 hours 15 mins = 2 1/4 hours

2 1/4 hours = 25 miles

1 hour = 25 ÷ 2 1/4 = 25 ÷ 9/4 = 25 x 4/9 = 11.1 miles

Answer: 11.1 mph

Step-by-step explanation:

Answer:

Both angels are 70 and both added are 140.

Step-by-step explanation:

Because of the rules, that's names i never remember angle 1 and angle 2 are both 70° and obiously they equal 140.

Answer:

answer is 27 trust me. I can't explain step by step so please trust ma ans is27

Answer:

See Below

Step-by-step explanation:

Slope is rise over run.

Rise is the difference in the y values

Run is the difference in the x values.

Rise/Run = 5 (slope)

You have both x values 4 from one point and 5 from the other point so the difference is 1.  The Run is equal to 1

So you now have Rise / 1 = 5

The first y value you have is 5 and based on (rise/1 = 5), you know the difference in the y values must equal 5.  That means the other y value has to be either 10 or 0.

0 will not work because that would make the slope negative since the line would slope downward from left to right.

Answer:

cow is 65bpm

horse is 38bpm

Step-by-step explanation:

cow is given

horse divide total beats by total min

Answer:

where question？

Step-by-step explanation:

i dont know the question it cant be solve

Answer:

I don't see the question. it cannot be solved

Step-by-step explanation:

(x/2) +(y/-8)=1

[tex] \frac{x}{2} - \frac{y}{8} = 1[/tex]

well that is the equation

Answer:

y=(y/x+8/x) x-8

Step-by-step explanation:

Answer:

really I am confused and you are putting this here

Answer:

h = g^2 f

Step-by-step explanation:

because it just is your welcome

Answer:

its the yoyo

Step-by-step explanation:

it was right on the khawn acdemy thing.

Answer:

-36x-36x

Step by step explanation:

4(9x+9)

-36x -36x

Answer:

Step-by-step explanation:

[tex]-4\left(9x+9\right)[/tex]

Apply distributive law:

[tex]-4\times \:9x-4\times \:9[/tex]

[tex]-36x-36[/tex]

Answer:

9 1/2 ÷20

9/1 +1/2 ÷20 ( convert to an improper frqction)

18/2 + 1/2 ÷20 ( Multiply 9/1 by 2/2)

19/2 ÷20 ( add 18/2 and 1/2)

19/2 ×1/20 (dividing by 20 is the same as multiplying by 1/20)

19/40

0.475

Answer:

4x –11y < -5, x=7

Step-by-step explanation:

[tex]\huge\mathtt\colorbox{white}{See attachment pl}[/tex]

Step-by-step explanation:

90 cents is ur answer i believe

Answer:

9.30$

Step-by-step explanation:

take your number (93$) and multiply it by 10% (.10) which is 9.3, or 9.30$

93 x .10 = 9.3

Hope this helps!

Answer:

an apple costs 0.24 and a pear costs 0.28

Step-by-step explanation:

      3a + 4p = 1.84                                 3a + 4p = 1.84

     -5a + 2p = 1.76   m(-2)                 -10a - 4p = -3.52

        3a + 4p = 1.84

 +   -10a - 4p = -3.52

       -7a          = -1.68

           a         = -1.68/-7

           a        =  0.24

       3a + 4p = 1.84

       3(0.24) + 4p = 1.84

       0.72  + 4p = 1.84

                   4p = 1.84 - 0.72

                    4p = 1.12

                      p = 0.28

The cost of an apple is £0.24 and the cost of pear is £0.28

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Let a represent the cost of one apple and p represent the cost of one pear.

Then the system of equation will be;

     3a + 4p = 1.84                                

    -5a + 2p = 1.76   m(-2)                

-10a - 4p = -3.52

Solving both the equation;

-7a   = -1.68

a   = -1.68/-7

a   =  0.24

For solving p;

3a + 4p = 1.84

3(0.24) + 4p = 1.84

0.72  + 4p = 1.84

4p = 1.84 - 0.72

4p = 1.12

p = 0.28

Hence, the cost of an apple is £0.24 and the cost of pear is £0.28

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ2

Answer:

Step-by-step explanation:

To solve, we first need to know how to find the average of a group of numbers. To find the average of a group of numbers, you add all the numbers together and divide that answer by the number of numbers you have. For instance, to find the average of 1, 2, 3, 4 and 5, we would add all the numbers together, which would equal 15. We would then divide that number by 5, because there are 5 numbers total: 15/5 = 3. So the average is 3.

Now, to find the average in your problem, we need to look at what we know:

He received an 85 and 60 on two of the test scores

He needs an overall average of 70

Let's set this up in equation form:

%2885+%2B+60+%2B+x%29%2F3+%3E=+70

Now, let's get rid of our fraction on the left. We can do this by multiplying the entire equation by 3, giving us:

85 + 60 + x >= 210

Next, combine the numbers on the left, which will give us:

145 + x >= 210

Finally, subtract 145 from both sides, which will give us our answer:

145 + x - 145 >= 210 - 145 =

x >= 65

So, in order to average at least 70, he must score a 65 or higher on his third test.

Answer:

6 × 4 = 25

6 + 4 = 10

hope this helps

Answer:

Step-by-step explanation:

x * y=-21

x+y =-10

we use elimination method to solve

x * y = -21

x + y = -10

x = -11

then replace the y s with -11

x * y = -21

x * -11 =-21

x *-11 + -11 = -21+-11

x = -32

x + y = -10

x +-11 = -10

x + -11--11 = -10--11

x + 0 = -10+11

x = 1

x =1

y = -11

Answer:

(-10, -8), third quadrant

Step-by-step explanation:

8 down from (0, 0) is the same as subtracting 8 from the y coordinate → (0, -8). 10 left from (0, -8) is the same as subtracting 10 from the x coordinate → (-10, -8). You would be in the third quadrant where both coordinates are negative.

Hope this helps!

Answer:

x²+7x+12

Step-by-step explanation:

x*x=x²

x*4=4x

3*x=3x

4x+3x=7x

3*4=12

=x²+7x+12=0

Answer: ^2 + 7 + 12

Step-by-step explanation:

(x + 4)(x + 4)

( + 4)+3( + 4)

( + 4)+3( + 4)

^2 + 4 + 3( + 4)

^2 + 4 + 3 + 12

^2 +7 +12

Answer:

cos o sin

Step-by-step explanation: