On Tuesday, Hayley only has 15 cups of flour and 9 eggs, but she has more than enough butter and sugar. Which system of linear inequalities can Hayley use to model this situation, where b represents the number of loaves of banana bread and z represents the number of loaves of zucchini bread?

Answers

Answer 1

Missing part of the question

Hayley bakes zucchini bread and banana bread. Some ingredients Hayley uses for each type of  bread are shown in the tables

Zucchini Bread

2 eggs        2 cups of flour       1.5 cups of sugar        0.5 stick of butter

Banana Bread

1 egg          3 cups of flour        2 cups of sugar          0.25 stick of butter

Answer:

[tex]2z + b \le 9[/tex]

[tex]2z + 3b \le 15[/tex]

Step-by-step explanation:

Given

[tex]Flour = 15[/tex]

[tex]Egg =9[/tex]

Since there are enough of other ingredients, we will only consider the amount of eggs and cups of flour.

So, we have:

Zucchini Bread

[tex]Egg = 2[/tex]

[tex]Flour = 2[/tex]  

Banana Bread

[tex]Egg = 1[/tex]

[tex]Flour = 3[/tex]

For the eggs

The ratio of eggs to use in the Zucchini bread to Banana bread is:

[tex]Egg = 2[/tex] (z) : [tex]Egg = 1[/tex] (b)

This gives:

[tex]2z + 1b[/tex]

The total number of eggs cannot exceed 9.

So, the inequality is:

[tex]2z + 1b \le 9[/tex]

[tex]2z + b \le 9[/tex]

For the flours

The ratio of flours to use in the Zucchini bread to Banana bread is:

[tex]Flour = 2[/tex] (z) :    [tex]Flour = 3[/tex] (b)

This gives:

[tex]2z + 3b[/tex]

The total cups of flours cannot exceed 15.

So, the inequality is:

[tex]2z + 3b \le 15[/tex]

Hence:

The system of inequalities is:

[tex]2z + b \le 9[/tex]

[tex]2z + 3b \le 15[/tex]


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Step-by-step explanation:

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Find the length of a side of a square if its area is:
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Answers

Answer:

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Step-by-step explanation:

Area of a square = 0.49 sq. units

Side² = 0.49

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Answers

Answer:

B.    y= x2 + 3

Step-by-step explanation:

Guided Practice

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1

4

2

7

3

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Step-by-step explanation:

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Step-by-step explanation:

A line segment is part of a line that is bounded by two distinct end points; line with two endpoints.

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A train travels 360 km at a uniform speed, if speed has been increased it will take one hour less for the same journey then find the speed of the train.​​

Answers

Answer:

Given distance=360 km.

Let the speed of the train be x km/hr.

Speed when increased by 5 km/hr =(x+5) km/hr

x

360

(x+5)

360

=1

x(x+5)

[360x+1800−360x]

=1

x

2

+5x−1800=0

x

2

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The speed of the train is 40 km/hr.

Step-by-step explanation:

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Answers

Answer: 3/2

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Simplified ratio (Answer) is 3:2.

PLEASE HELP
During the day a person consumes 360 calories from fruit. How many calories does the person consumer in their daily life?

A. 1,699
B. 2,300
C. 2,400
D. 2,600

Answers

C. 2,400

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100% / 15% = 6.67

360 * 6.67 = 2400 calories

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Answers

Answer:

20 times greater

Step-by-step explanation:

Given the following

Population of alaska = 6.5 * 10^(5) people

Population of illinois's = 1.3 * 10^(7)people.

To know the number of times population of Illinois in the population of Alaska, we will take their population ratio;

Ratio = Population of illinois's /Population of alaska

Ratio = 1.3 * 10^(7)/6.5 * 10^(5)

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Ratio = 0.2 * 10^2

Ratio = 20

Hence the population of Illinois is 20 times greater than population of alaska

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Answers

Answer:

$6,100

Step-by-step explanation:

12,500-1600(4)

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Answer:

6100

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Answers

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Answers

Here

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

He cant spend more than what he has, but he can spend less than or equal to it. This equation is correct, because you want to multiply your shirts, p, by how much they are, 15.  I hope this helps :)

Answer:

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Answers

Answer:

B. 1.53 oz

Step-by-step explanation:

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Answers

Answer:(a)

Step-by-step explanation:

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Answers

Answer:

- 2t³ + 4t² - t

Step-by-step explanation:

f(t) - g(t)

= 3t³ - 4t + 6t² - (5t³ + 2t² - 3t) ← distribute parenthesis by - 1

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Answer:

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3. rectangle

Step-by-step explanation:

Answer:1. Pharrellagram, 2. Trapezoid, Rectangle

Step-by-step explanation:

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Answers

Answer:

y = 1.5, x = [tex]1\frac{12}{13}[/tex]

Step-by-step explanation:

The given simultaneous equation system is;

-1 - 2·y = -4...(1)

13·x + 2·y = 28...(2)

By elimination method, we have;

From equation (1);

-1 - 2·y = -4

2·y = 4 - 1 = 3

y = 3/2 = 1.5

y = 1.5

We eliminate 'y' from equation (2) by replacing the value of 'y' with 1.5 as follows;

13·x + 2·y = 28

y = 1.5

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0.01273148148 as a fraction

Answers

Answer:

How to Write 0.336 or 33.6% as a Fraction?

Decimal Fraction Percentage

0.352 44/125 35.2%

0.344 43/125 34.4%

0.336 42/125 33.6%

0.328 41/125 32.8%

Step-by-step explanation:

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Answer:

123\1000

Step-by-step explanation:

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Answer:

straight I think it is yeaaa

Answer:

complementary.

.............

What is the value of the expressions below when n = 1.5?

5n – (20 + n)

Answers

Answer:

-14

Step-by-step explanation:

if n = 1.5, replace all letters labeled "n" with 1.5

5(1.5) - (20 +1.5)

5 x 1.5 = 7.5

(20+1.5) = 21.5

7.5 - 21.5 = -14

:)

Answer:

answer is -14

Step-by-step explanation:

hope this helps

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Answers

Answer:

A. y= - 1/2x + 20

B. the initial value represents the total amount of gasoline used for snow plowing (in gallons)

C. the slope indicates that for every driveway plowed they use 1/2 a gallon of gasoline

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Answers

r=9.776 or 9.78 (second if needing to round)
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Answers

Answer: The new co-ordinates of A ( 2 ,-6)

Step-by-step explanation:

Type of transformation                                change to co-ordinate point

Vertical translation up 'd' units                  (x,y)→(x , y+d)

Vertical translation down 'd' units             (x,y)→(x , y-d)

Horizontal translation right 'c' units           (x,y)→(x+c , y)

Horizontal translation left 'c' units           (x,y)→(x-c , y)

Reflection over x-axis                               (x,y) →(x , -y)

Reflection over y-axis                               (x,y) →(-x , y)

Given the original vertex A ( -2 ,3)

a) First reflection over x-axis  ( -2 ,3) →(-2 , -3)

b) Vertical translation down '3' units  so it changes (-2 , -3)→(-2 , -3-3)

                        (-2,-3)→(-2 ,-6)

and

c) The Horizontal translation right '4' units

now it changes ( -2 ,-6) → (-2+4,-6)→(2 ,-6)

Final answer:-

The new co-ordinates of A ( 2 ,-6)

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Answers

Answer:

x*2-80=35

Step-by-step explanation:

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Answer:

2 will give you the larger value of 17

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