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Alex Ar [27]
3 years ago
15

what the equation is to this word problem. Famous Chef Fanzo puts 2 ostrich eggs and 14 duck eggs into his famous scramble. One

day he runs out of duck eggs and uses 5 ostrich eggs and it turns out exactly the same. How many duck eggs are equivalent to 1 ostrich egg?
Mathematics
1 answer:
Svetach [21]3 years ago
6 0
We are given with the combination ratio of ostrich eggs and duck eggs to produce a scramble and equivalently another ratio to make one. In this case, the algebraic expression would be:

2 + 14 x = 5 
14x = 3
x = 3/14

The ratio thus of duck egg to ostrich egg is 3 duck eggs/14 ostrich eggs
0.21 duck eggs per ostrich egg
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Which graph represents the solution set of the system of inequalities? {x+y<12 y≥x−4
RSB [31]

Answer: The graph in the bottom right-hand corner

(see figure 4 in the attached images below)

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

Explanation:

Let's start off by graphing x+y < 1. The boundary equation is x+y = 1 since we simply change the inequality sign to an equal sign. Solve for y to get x+y = 1 turning into y = -x+1. This line goes through (0,1) and (1,0). The boundary line is a dashed line due to the fact that there is no "or equal to" in the original inequality sign. So x+y < 1 turns into y < -x+1 and we shade below the dashed line. The "less than" means "shade below" when y is fully isolated like this. See figure 1 in the attached images below.

Let's graph 2y >= x-4. Start off by dividing everything by 2 to get y >= (1/2)x-2. The boundary line is y = (1/2)x-2 which goes through the two points (0,-2) and (4,0). The boundary line is solid. We shade above the boundary line. Check out figure 2 in the attached images below.

After we graph each individual inequality, we then combine the two regions on one graph. See figure 3 below. The red and blue shaded areas in figure 3 overlap to get the purple shaded area you see in figure 4, which is the final answer. Any point in this purple region will satisfy both inequalities at the same time. The solution point cannot be on the dashed line but it can be on the solid line as long as the solid line is bordering the shaded purple region. Figure 4 matches up perfectly with the bottom right corner in your answer choices.

5 0
3 years ago
Read 2 more answers
Simplify this expression 9xy4x 3x3y​
Alekssandra [29.7K]

Answer:

81 x y^5

Step-by-step explanation:

Simplify the following:

9×3×3 x y^4 y

3×3 = 9:

9×9 x y^4 y

9 x y^4×9 y = 9×9 x y^(4 + 1):

9×9 x y^(4 + 1)

4 + 1 = 5:

9×9 x y^5

9×9 = 81:

Answer: 81 x y^5

7 0
3 years ago
Help me
butalik [34]

Answer:

D. Tenths

Step-by-step explanation:

Because when you go behind the decimal, it starts out with tenths, then hundredths, and then thousandths. And 6 in the 1st spot behind the decimal so it's tenths.

hope I helped.

6 0
3 years ago
What is x, the length of the diagonal, to the nearest whole number
lions [1.4K]

brainly being slow today so i did my work on this attachment

╦────────────────────────────╦

│Hope this helped  _____________________│      

│~Xxxtentaction _______________________│

╩__________________________________╩      

6 0
3 years ago
Read 2 more answers
How to do the problem
marta [7]
There are 153 people who each ate 1/4 pounds. Therefore, the amount of watermelon eaten is 153/4 pounds.
The amount of watermelon served is
8 \frac{1}{4}  + 9 \frac{1}{4}  + 8 \frac{7}{8}  + 9 \frac{5}{8}  + 10 \frac{3}{4}
=  \frac{8 \times 4 + 1}{4}  +  \frac{9 \times 4 + 1}{4}  \\  +  \frac{8 \times 8 + 7}{8}  +  \frac{9 \times 8 + 5}{8} \\  +  \frac{10 \times 4 + 3}{4}
=  \frac{33}{4}  +  \frac{37}{4}  +  \frac{71}{8}  +  \frac{77}{8}  +  \frac{43}{4}  \\  =  \frac{33 \times 2}{4 \times 2}  +  \frac{37 \times 2}{4 \times 2}  +  \frac{71}{8}  \\  +  \frac{77}{8}  +  \frac{43 \times 2}{4 \times 2}
=  \frac{66 + 74 + 71 + 77 + 86}{8}
=  \frac{374}{8}  =  \frac{186}{4}
There is 186/4 total watermelon. Minus the 153/4 that was eaten,
\frac{186 - 153}{4}  =  \frac{33}{4}  = 8 \frac{1}{4}

The leftover watermelon is 8 & 1/4 pounds.
6 0
3 years ago
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