A baker, in 70 minutes, iced 40 cupcakes and, in 49 minutes, iced 28 cupcakes. What is the constant of proportionality? Express your answer in decimal form.

Answer:

3.36

Step-by-step explanation:

4.1 +6 +1.3+6.5 +1.6=16.8

16.8/5=3.36

In order to  get the answer you add everything up and then divide from the amount of numbers there are.

Answer:

 =[tex]\frac{55}{2}[/tex]

Answer:

B and C

Step-by-step explanation:

Both B and C

B)

2/5 = 0.4 (which terminate as decimals)

Similarly

C)

-1/4 = -0.25 (also terminates)

But A and D do not terminate

As for A) 1/3= 0.33333333..........

and for D) 7/9= 0.777777777......

In both cases the decimals are a never ending sequence or in other words does not terminate at all. They are irrational numbers.

Hope you understand. Thank you.

Answer:

f(x + h) = 3x³ + x² + 9h²x + 3h³ + h² + 9hx² + 2hx

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define function

f(x) = x² + 3x³

f(x + h) is x = x + h

Step 2: Simplify

Answer:

c + 17 = 51

Step-by-step explanation:

Answer:

1-7 2-6 3-6 4-4

Step-by-step explanation:

To do this, you must notice that all of these are isosceles triangles (2 of the sides are the same.) You already have 1 value on each triangle, and the length of that side is the same length as the side with the unknown value, so those are the correct answers. If I made a mistake, please correct me. Everybody makes mistakes.

Answer:

4 x 13

Step-by-step explanation:

GCD of 28 and 24 is 4

28 = 4 x 7

24 = 4 x 6

u take the 4 out

4 (7 + 6)

4 x 13

The product of two factors using the GCF and the distributive property is 4(13).

The largest integer of highest degree that is an exact divisor of each of two or more integers.

The greatest common divisor of 24 and 28

24=2×2×2×3

28=2×2×7

We can see that the 2 and 2 is common in 24 and 28

The GCD of 28 and 24 is=2×2= 4

For the distributive property we have

28 = 4 x 7

24 = 4 x 6

we take the 4 out

4 (7 + 6)

=4 x 13

Therefore the GCD is 4 and by distributive property product is 4(13).

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Answer:

5,212.5 rupees

Step-by-step explanation:

If price of 1 kg is 104.25

multiply 50 by 104.25

equals 5,212.5 rupees

Answer:

5212.50 rupees

Step-by-step explanation:

We can use a ratio

1 kg             50 kg

-----------  = ---------------

104.25            x

Using cross products

1x = 50 * 104.25

x =5212.50 rupees

Answer:

✔ 3r > 34

✔ r > 11.3

✔ The squirrel ran faster than 11.3 feet per second.

Step-by-step explanation:

1. The Squirrel's speed is 3r > 34

2. The solution of the inequality is r > 11.3

3. The interpretation is: The squirrel ran faster than 11.3 feet per second.

Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

A squirrel runs across a road in 3 seconds.

The road was more than 34 feet wide.

1. The Squirrel's speed is

3r > 34

2. The solution of the inequality is

r > 34/3

r > 11.3

3. The interpretation is: The squirrel ran faster than 11.3 feet per second.

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Answer:

13

Step-by-step explanation:

First find the population of city c 1,070,000 times 2 = 2140000

Round 2140000 to the nearest hundred thousands = 2,100,000

Third find how many places the decimal moves which is 6 places

Fourth scientific notation of 2,100,00 is 2.1 times 10^6

Fifth divided city c by the population of city a

2.1x 10^6 divided by 1.6 x 10^5

2.1 / 1.6 rounded is 1.3

10^6 divided by 10 ^ 5 is 10

Therefore 2.1 x 10^6 divided by 1.6 divided by 10^5 equals 1.3 times 10 = 13

The population of city c is about 13 times the population of city a

Answer:

62 cm^2

Step-by-step explanation:

the sides are 3*5, 3*2, and 2*5, and there are two of each. 3*5 is 15, 3*2 is 6, and 2*5 is 10.

we need to find 15*2, which is 30, 6*2, which is 12, and 10*2 which is 20. then we need to add all of these together, which is 62

Answer:

[tex]\huge\boxed{\dfrac{68}{125}=0.544}[/tex]

Step-by-step explanation:

[tex]\dfrac{68}{125}=\dfrac{68\cdot8}{125\cdot8}=\dfrac{544}{1,000}=0.544[/tex]

Answer:

rational

Step-by-step explanation:

A rational number is a number that can be expressed (for example, 1/3 is irrational) Hope I helped! Please mark Brainliest!!!

Answer:

Step-by-step explanation:

As the given triangle is equilateral as all the sides of the triangle are equal.

[tex]MN = 3x-8[/tex]

[tex]NO=2x-1[/tex]

[tex]OM=5x-22[/tex]

As all the sides are equal, i.e.

[tex]MN=NO=OM[/tex]

as

[tex]MN=NO[/tex]

[tex]3x-8=2x-1[/tex]

Add 8 to both sides

[tex]3x-8+8=2x-1+8[/tex]

[tex]3x=2x+7[/tex]

[tex]x=7[/tex]

Hence, the value of x = 7

so putting the value of x to determine the lengths of the

segments MN, NO, and MO

[tex]MN = 3x - 8[/tex]

       [tex]= 3(7)-8[/tex]

       [tex]=21-8[/tex]

       [tex]=13[/tex]

Hence, the length of MN = 13

[tex]NO = 2x-1[/tex]

       [tex]=2(7)-1[/tex]

       [tex]=14-1[/tex]

       [tex]=13[/tex]

Hence, the length of NO = 13

[tex]OM = 5x-22[/tex]

      [tex]= 5(7)-22[/tex]

      [tex]= 35-22[/tex]

      [tex]=13[/tex]

Hence, the length of OM = 13

Answer: 69 hope this helps!

Answer:

I think the answer is B.23

Answer

x is 1.62 or -0.62

Step-by-step explanation:

Quadratic Formula:

[tex] \boxed{ \bf{x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}}}[/tex]

Given Quadratic Equation:

x² + x - 1 = 0

a = 1 (Quadratic coefficient)

b = 1 (Linear coefficient)

c = -1 (Constant coefficient)

By substituting values in the formula, we get:

[tex] \rm \longrightarrow x = \dfrac{-1 \pm \sqrt{1^2 - 4(1)( - 1)}}{2 \times 1} \\ \\ \rm \longrightarrow x = \dfrac{ - 1 \pm \sqrt{1 + 4} }{2} \\ \\ \rm \longrightarrow x = \dfrac{ - 1 \pm \sqrt{5} }{2} [/tex]

Answer:

f(2) = -2

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define

f(x) = 5x - 12

f(2) is x = 2

Step 2: Solve

Answer:

f ( 2 ) = - 2

Step-by-step explanation:

Step 1:

f ( x ) = 5x - 12            Function

Step 2:

f ( 2 ) = 5 ( 2 ) - 12          Input x

Step 3:

f ( 2 ) = 10 - 12        Multiply

Answer:

f ( 2 ) = - 2

Hope This Helps :)  

Answer:

That is correct

Answer:

yes its correct

Step-by-step explanation:

Answer: 10 ornaments

Step-by-step explanation:

From the question, we are informed that students are making ornaments and each takes 1/4 of a piece of Bristol board. We are further told that they go to the cupboard and find 2 1/2 pieces of Bristol board.

The number of ornaments that they make will be gotten by dividing 2 1/2 by 1/4. This will be:

= 2 1/2 ÷ 1/4

= 5/2 ÷ 1/4

= 5/2 × 4/1

= 10

They can make 10 ornaments

Answer:

if its .5 round up if its .4 or lower round down

Step-by-step explanation:

Answer:

Step-by-step explanation:

i look at the number to the very decimal and then if it is 5 or higher i round up if it is 4 or lower i round down then leave out the rest of the numbers unless it tells you to round to the tenths, hundreds, or thousands place and so on.

Answer:

your answer woulsd be 4/15 or how many times does 4  gois in ta 15

Step-by-step explanation:

Answer:

I'm going to list the answers below in the explanation.

Step-by-step explanation:

JL = 36 False

ML = 36 True

MP = 48.5 Not enough info

Angle JLK = 102 True

Angle PNK = 102 False

MP || PK False

The only one I'm not 100% positive about is MP = 48.5 but I'm pretty sure!

Good luck and I hope this helps.

9514 1404 393

Answer:

  F, T, T, T, T, F

Step-by-step explanation:

PM and PN are "midlines" of the triangle JKL. As such, they are parallel to and half the length of the side of ΔJKL they don't intersect. The relationships of angles and transversals of parallel lines apply. LMPN is a parallelogram, so opposite sides are the same length.

a) JL is not 36, it it twice that. (F)

b) ML is the same length as PN, 36. (T)

c) MP is half of LK, so is 97/2 = 48.5. (T)

d) ∠JLK corresponds to ∠JMP, so is congruent. (T)

e) ∠PNK corresponds to ∠JLK, so is congruent. (T)

f) MP intersects PK at point P, so cannot be parallel. (F)

Answer:

r = 11

Step-by-step explanation:

Is the question

r - 4 = - 3 + 10

So what's r

r - 4 = -3 + 10      Combine the right

r - 4 =  7              Add 4 to both sides

r - 4 + 4 = 7 + 4

r = 11

Answer:

x = 2/3

Step-by-step explanation:

2(x-2/3)=0

2x-1 1/3=0

2x=1 1/3

Devide both sides by 2

x=2/3

Answer:

Y = 20

Step-by-step explanation:

120/ 160 = 15 / y

120/15=8

that means there is a 8 to 1 ratio between them. So now do 160/8 = y

y = 20.

prove it by dividing both fractions to create decimal form. They match, so y = 20.

Answer:

Point A

Step-by-step explanation

Got it correct on edge test

Point A represents (3, - ). Therefore, the correct option is option A among all the given options.

A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more integers, or coordinates. It matters how the coordinates are arranged.  

Sometimes they are recognised by their place in an ordered tuple, and other times they are recognised by a letter, such as "the x-coordinate." In elementary mathematics, the coordinates are assumed to be real numbers. Point A t represents (3, - ).

Therefore, the correct option is option A.

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Answer:

Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.

Answer:

A

Step-by-step explanation:

Answer:

4 + 4i

Step-by-step explanation:

Add the real part and add the imaginary part.

9 + 7i + (-5  - 3i) = 9 + 7i - 5 - 3i

                          = 9 - 5 + 7i - 3i

                          = 4  + 4i

Answer:

44

Step-by-step explanation:

Okay so we are given (9 + 71) + (-5 - 31).

We need to figure out the value of this expression.

First, let's solve the expression (9 + 71).

1.  (9 + 71) = 80.

Now we have 80 + (-5 - 31).

Next, let's solve the expression (-5 - 31).

2.  (-5 - 31) = -36.

We're left with 80 + (-36).

Finally, let's add the two numbers together.

80 + (-36) = 44

So (9 + 71) + (-5 - 31) = 44

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Have an excellent day!