WRITING LINE AR INEQUALITIES Nancy works at Love at First Bite bakery where she decorates cakes and cupcakes. It takes her an average of 4 minutes to decorate a cupcake and 32 minutes to decorate a cake. Last week, Nancy spent no more than 224 minutes decorating cakes and cupcakes. Assume x represents the number of cupcakes and y represents the number of cakes Nancy decorated. 1. Which inequality best represents the possible combinations of cupcakes and cakes Nancy decorated? 2. If Nancy decorated a total of 4 cakes last week, which inequality represents the possible number of cupcakes she decorated? 3. Is it possible that Nancy decorated 3 cakes and 32 cupcakes last week? Explain. a. 4x + 32y > 224 b. 4x - 32y < 224 c. 32x + 4y < 224 d. 4x + 32y < 224 a. X < 96 b. x < 24 C. X < 96 d. x < 24 1 2- 3 - > 1​

3.468*10^6

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

So you have the equation:

(3x - 5) ^(x) - 19

and the value x = 3,

so just substitute in and simplify:

(3*3 - 5) ^ (3) - 19

(9 - 5)^(3) - 19

(4)^(3) - 19

64 - 19

45

Answer:

1.22

Step-by-step explanation:

9.76/8

The answeris : y=35x+75

Answer:

x+y = 8

x3 + y3 = 20 ...this system represents the given statements.

Use the factoring rule for sum of cubes:

(x+y)(x2+xy+y2) = 20. By substituting for the linear factor, you get

8(x2+xy+y2) = 20   or   2(x2+xy+y2) = 5.

Now substitute for y; y = 8-x and you will have a (maybe not so nice) quadratic equation in x, which you can solve by Quadratic Formula (if factoring isn't obvious).

you get to finish this job.

Step-by-step explanation:

Brainleist would be appreciative

Answer:

Perimeter is 30

Step-by-step explanation:

The formula is

P=2(l+w)

Answer:

P is 30cm

Step-by-step explanation:

Let's transform it into an expression:

P = 2w + l2

P = (5×2) + (10×2)

P = 10 + 20 = 30 cm

Answer:

$7.5 = 3 pounds

Step-by-step explanation:

1. If $5 is equal to 2 pounds of cherries, you want to find what 1 pound of cherries cost. You should divided 5 by 2 and 2 by 2 to find what 1 pound of cherries cot.

2. That means that 1 pound of cherries cost $2.5.

3. Now we want to find how much money 3 pounds cost, so you should multiply the 2.5 and the 1 by 3.

4. Now that gets you to $7.5 for 3 pounds of cherries.s

Answer: its 2/6 is the answer the choices don't make cense

Step-by-step explanation:

Answer:

Angle QPR = 64.5 degrees

Step-by-step explanation:

Answer:

brainliest?

Step-by-step explanation:

Answer:

y = 1

Step-by-step explanation:

Hi there !

6y + 12 = 18

6y = 18 - 12

6y = 6

y = 6 : 6

y = 1

Good luck !

Answer: 1/2

Step-by-step explanation: got it right

The slope of the line that passes through the points (8,7) and (4, 5) is 1/2.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = (y₂-y₁)/(x₂-x₁).

The given coordinate points are (8, 7) and (4, 5).

Substitute (x₁, y₁)= (8, 7) and (x₂, y₂)= (4, 5) in slope formula, we get

Slope = (5-7)/(4-8

= -2/(-4)

= 1/2

Therefore, the slope of the line that passes through the points (8,7) and (4, 5) is 1/2.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

#SPJ6

Answer:

12=-3(-7.5)-10.5

Step-by-step explanation:

first find the slope

m=y2-y1/x2-x1

0-12=(-12)

-3.5-(-7.5)=4

-12/4=(-3)

now write the equation

y=mx+b

12=-3(-7.5)+b

now solve

-3*-7.5=22.5

22.5-22.5=0

12-22.5=(-10.5)

b=-10.5

hope this helps :3

if it did pls mark brainliest

Answer:

Three different ways to write the ratio"5 to 7    5:7      5/7"   Three equivalent rations" 10:14     15 :21       20:28

Step-by-step explanation:

Answer:

The answer is

[tex] \huge y - 5 = 23(x + 4) \\ [/tex]

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the points are (-4, 5) and a slope of 23

We have the final answer as

[tex]y - 5= 23(x + 4)[/tex]

Hope this helps you

Answer:

hi how r u

Step-by-step explanation:

Answer:

I think the answer is 7.20.....

Now that i can answer finally, the answer is $7.20, if she loses $2.40 every time she doesn't do her chore, that $2.40 x 3 which gets you $7.20

Answer:

You can find out x and y  by solving these equations simultaneously.

First case:

according to the opposite angle theorem, (18y+5)° = (10x-61)°

Now let's simplify them;

18y-10x = -66

y= (10x-66) ÷ 18......................(i)

Second case:

Around that centre, it is always 360°.

And the angle opposite to the (x+10)v is also (x+10)°.

And sum of these 4 angles is 360°.

(18y+5)° + ( 10x-61)° + (x +10)° + (x +10)°= 360°

18y + 12x -36 = 360°

18y + 12x = 396...........................(ii)

Now replace the value of y from (i) into (ii):

18 ((10x-66) ÷ 18) +12x =396

(10x-66) +12x = 396

22x -66 = 396

22x = 462

x = 21

Now let's put this value of x into our equation (i):

y= (10(21)-66) ÷ 18

y= 8

Cheers :)

Answer:

76 77 77 77 77 77 77

second row

Step-by-step explanation:

Answer:

5256 next time use calculator

Step-by-step explanation:

$1.20

explanation:

h + 2d = 6

2h + 2d = 9.60

-2h - 4d = -12

2h + 2d = 9.60

- 2d = - 2.4

d = $1.20

The cost of 1 drink is required.

The cost of 1 drink is $1.20.

Let cost of 1 hamburger be [tex]x[/tex]

cost of 1 drink be [tex]y[/tex]

The equations will be

[tex]x+2y=6[/tex]      [tex]\times2[/tex]

[tex]2x+2y=9.6[/tex]

[tex]2x+4y=12[/tex]

[tex]2x+2y=9.6[/tex]

Subtracting the equations

[tex]2y=2.4\\\Rightarrow y=\dfrac{2.4}{2}\\\Rightarrow y=1.2[/tex]

The cost of 1 drink is $1.20.

Learn more:

https://brainly.com/question/11897796

https://brainly.com/question/8529870

Answer:

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

5x+9

5(6)+9

30+9

39

Answer:

39

Step-by-step explanation:

first 5 times 6 since x=6. that equals 30. 30 plus 9 is 39.

hope this helps :)

Answer:

see explanation

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan40° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{opp}{20}[/tex] ( multiply both sides by 20 )

20 × tan40° = opp , thus

opp = 20 × 0.839 ≈ 16.78 , then

height of traffic light = 16,78 + 5 = 21.78 ft

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

Using the tangent ratio in the right triangle

tan42.71° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{150}{d}[/tex] ( d is the distance between store and bank )

Multiply both sides by d

d × tan42.71° = 150 ( divide both sides by tan42.71° )

d = [tex]\frac{150}{tan42.71}[/tex] = [tex]\frac{150}{0.923}[/tex] = 162.5 m

Answer:

D is the correct

Step-by-step explanation:

The pairs of triangles that can be proven to be congruent by the AAS Congruence Theorem is: D. image 4.

The AAS congruence theorem states hat two triangles can be proven to be congruent triangles if two angles and a non-included side of one triangle are congruent to corresponding two angles and a non-included side of the other triangle.

In image 4, ΔABC and ΔWXY has the following:

Therefore, the pairs of triangles that can be proven to be congruent by the AAS Congruence Theorem is: D. image 4.

Learn more about AAS on:

https://brainly.com/question/3999145

Answer:

32

Step-by-step explanation:

2 to the 6th power is also 2 x 2 x 2 x 2 x 2 x 2 which equals 64 so then you multiply it by .5 (half) to get 32 :)

Answer:

32

Step-by-step explanation:

2^6= 64

64/2= 32

Answer:

(0,-3)

Step-by-step explanation:

Apex

Answer:

-2a

Step-by-step explanation:

add -5a with 3a

- - - - -

+++

^see, two negatives are left

Answer:

1/10 or 2/20

Step-by-step explanation:

Answer: Find the exact value using trigonometric identities.

Exact Form: 1/10, 3/20000 Decimal Form: 0.1, 0.00015

Answer:

STEP

1

:

Equation at the end of step 1

 ((3 • (x3)) -  32x2) -  12x  = 0

STEP

2

:

Equation at the end of step

2

:

 (3x3 -  32x2) -  12x  = 0

STEP

3

:

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  3x3 - 9x2 - 12x  =   3x • (x2 - 3x - 4)

Trying to factor by splitting the middle term

4.2     Factoring  x2 - 3x - 4

The first term is,  x2  its coefficient is  1 .

The middle term is,  -3x  its coefficient is  -3 .

The last term, "the constant", is  -4

Step-1 : Multiply the coefficient of the first term by the constant   1 • -4 = -4

Step-2 : Find two factors of  -4  whose sum equals the coefficient of the middle term, which is   -3 .

     -4    +    1    =    -3    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -4  and  1

                    x2 - 4x + 1x - 4

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-4)

             Add up the last 2 terms, pulling out common factors :

                    1 • (x-4)

Step-5 : Add up the four terms of step 4 :

                   (x+1)  •  (x-4)

            Which is the desired factorization

Equation at the end of step

4

:

 3x • (x + 1) • (x - 4)  = 0

STEP

5

:

Theory - Roots of a product

5.1    A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Step-by-step explanation:

I hope this helps