Write and solve a system of THREE inequalities that models the situation below.
Terrence is going to make and sell cupcakes and giant cookies as a fundraiser to earn money for his bank uniform. He sells the cupcakes for $1.25 each and the cookies for $0.75. He knows he will sell at least 10 cupcakes and 24 cookies. He wants to make at least $50. Find a possible combination of cupcakes and cookies he needs to sell to meet his goal.

Answer:

in short, Yes they are always rational.

here's why...

E.g. suppose [tex]\frac{c}{d}[/tex] and [tex]\frac{a}{b}[/tex] are fractions, that means that a,b,c,d are all integers, and b and d are not zero. finding the sum the numerator, and denominator would also have to be integers. the denominator of the sum can't be zero since the denominators of the fractions were not zero, and would give [tex]\frac{ad+bc}{bd}[/tex] and since they are bound by addition (sum means addition) they must also be rational since eit would equal a bigger integer than initially had

Step-by-step explanation:

[tex]\\ \sf{:}\dashrightarrow \dfrac{1}{4}(-12)=-3[/tex]

#b

[tex]\\ \sf{:}\dashrightarrow \dfrac{-1}{3}(39)=-13[/tex]

#c

[tex]\\ \sf{:}\dashrightarrow -4/5(-75)=-4(-15)=60[/tex]

#d

[tex]\\ \sf{:}\dashrightarrow (-2/5)(-3/4)=6/20=3/10[/tex]

#e

[tex]\\ \sf{:}\dashrightarrow 8/3(-42)=-14(8)=-112[/tex]

Answer:

c = 8

Step-by-step explanation:

c - 12 = -4

Add 12 on both sides

c = 12 + (-4)

c = 8

Answer:

The value of a function is the actual calculation done at a certain point. The limit is - roughly speaking - the value at points that are “arbitrarily close” to the same point. For most commonly used functions, the value of a function at a point, and the limit at the same point, is the same - at least for most values.

Answer:

$41.04

Step-by-step explanation:

57-40%(22.8)=34.2

34.2+20%(6.84)=41.04

Answer:

It is too garlicky.

Step-by-step explanation:

lol, uhm, this is a little bit of a strange question ngl, but I guess it's testing you on measurements and units, right?

Well, 12 gloves of garlic for every 900 mL of sauce in comparison to 8 cloves of garlic for every 500 mL of sauce is quite a difference to be honest, might even be too much in her opinion. 8 cloves for every 500 mL is more than 12 cloves for every 900 mL, so I'd say she'll think it's too garlicy.

I apologize, in advance, if I am incorrect.

Hi,

2(p-10) = 14

2p - 20 = 14

2p - 20 + 20 = 14 + 20

2p = 34

2p/2 = 34/2

p = 17

✅(•‿•)

Answer:

B

Step-by-step explanation:

21 inches to 7 inches

The width of the original image is B)  [tex]7\frac{7}{8}[/tex] inches.

Given that: The width of the large poster is 21 inches.

Given that: The original image has dimensions that are 3/8 of the dimensions of the image in the poster.

So the width of the original image is = [tex]\frac{3}{8}\cdot21=\frac{63}{8}=7\frac{7}{8}[/tex]

Learn more: https://brainly.com/question/16596053

Answer:

Third option: (0,-5) and (-4,3)

Step-by-step explanation:

x^2 + y^2 = 25

2x + y = -5

y = -5 - 2x

x^2 + (-5-2x)^2 = 25

x^2 + 25 + 20x + 4x^2 = 25

5x^2 + 20x + 25 = 25

5x^2 + 20x = 0

5x(x+4) = 0

5x=0 --> x=0

x+4=0 --> x=-4

2(-4) + y = -5

-8 + y = -5

y = 3 --> (-4,3)

2(0) + y = -5

0 + y = -5

y = -5 --> (0,-5)

Therefore, the solutions to the system of equations are (0,-5) and (-4,3)

Answer:

1. 50-x

2. 2x+189

3. x+109

4. x+99

5. x*(76-39)

6. 75+x

7. 45-3x

8. 2x+15

9. 3x-25

10. x*(x+88)

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

16

Step-by-step explanation:

32 ÷ 8 = 4

4 × 4 = 16

[tex] \\ [/tex]

Answer:

  38.525 in²

Step-by-step explanation:

The area formula for a triangle is useful here.

  A = 1/2bh . . . . . . b=base length; h=height

  A = 1/2(11.5 in)(6.7 in) = 38.525 in²

The area is 38.525 square inches.

Answer:

The value of factorial of 10 is 3628800,

i.e. 10! = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 3628800.

[tex]\large\huge\green{\sf{Answer:-}}[/tex]

[tex]10! \: = 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times\\ 3 \times 2 \times 1 =3628800 \\ [/tex]

Answer:

3[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Answer:

13/4

Step-by-step explanation:1238−918

Convert 1238

to an improper fraction.

Tap for more steps...

998−918

Convert 918

to an improper fraction.

Tap for more steps...

998−738

Combine the numerators over the common denominator.

99−738

Subtract 73

from 99

.

268

Cancel the common factor of 26

and 8

.

Tap for more steps...

134

Answer:

A. He charges 75 dollars for the service call because the y-intercept of the equation is 75.

B. He charges 50 dollars per hour because the slope of the equation is 50.

Step-by-step explanation:

Answer:

no, because the highest temperature was 6 and the lowest was -2. that's an 8 degree difference

Answer:

15.4300596

Step-by-step explanation:

Answer: IM only in midle school i think this is it 7(3e + 5)

Step-by-step explanation: f it is brainliest whe someone answers pls ps you next question ready

Answer: c.50 is the answer

Answer: C

Look at the graph the lines meet at this point, this is the logical answer

5,3

Step-by-step explanation:

Answer:

D) Zero solutions

Step-by-step explanation:

9 - 5x = 8 - 3x - 1 - 2x

9 - 5x = 7 - 5x

9 = 7

Zero solutions

i took the quiz its D. Zero

Answer:

3[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying the radicals

[tex]\sqrt{125}[/tex]

= [tex]\sqrt{25(5)}[/tex]

= [tex]\sqrt{25}[/tex] × [tex]\sqrt{5}[/tex] = 5[tex]\sqrt{5}[/tex]

[tex]\sqrt{45}[/tex]

= [tex]\sqrt{9(5)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex] = 3[tex]\sqrt{5}[/tex]

Then

[tex]\sqrt{125}[/tex] - [tex]\sqrt{45}[/tex] + [tex]\sqrt{5}[/tex]

= 5[tex]\sqrt{5}[/tex] - 3[tex]\sqrt{5}[/tex] + [tex]\sqrt{5}[/tex] ← collect like terms

= 3[tex]\sqrt{5}[/tex]

Answer:

Perpendicular Bisectors

Step-by-step explanation:

Recall that a perpendicular bisector intersects a line segment at its midpoint and is perpendicular.

====================================================

Explanation:

3/13 = 15/65 after multiplying top and bottom by 5

2/5 = 26/65 after multiplying top and bottom by 13

Let's say there are 65 marbles in the bowl. That would mean 15 of them are red (since 15/65 reduces to 3/13) and 26 are blue. That gives 15+26 = 41 so far. Leaving 65-41 = 24 marbles that must be green.

The probability of selecting a green marble is 24/65. Once that first green marble is taken out, it is not replaced. We have 65-1 = 64 marbles left, 15 of which are red. The probability of picking red on the second selection is 15/64.

Multiply the fractions mentioned:

(24/65)*(15/64)

(24*15)/(65*64)

360/4160

9/104