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Evgen [1.6K]
3 years ago
5

Mia needs to bring at least 25 pieces of fruit to the school picnic. She suggested both apples and oranges and was told to be su

re to bring more than 10 apples. Let x represent the number of apples and y represent the number of oranges. Select all inequalities that model this situation.
Mathematics
2 answers:
Elena L [17]3 years ago
6 0
The number of apples is x, and the number of oranges is y.


"Mia needs to bring at least 25 pieces of fruit to the school picnic."

means that x+y≥25


"
She was told to be sure to bring more than 10 apples."

means that x≥10


thus, the inequalities are:

i) 
x+y≥25

ii) 
x≥10


IrinaVladis [17]3 years ago
4 0

The Correct answer I just took the test!

x+y≥25

x>10

y>0

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When using substitution to solve this system of equations, what is the result of the first step x=6y+3
myrzilka [38]
First step: you have to plug in 6y+3 into the equation and solve
Example: 6y+3+2y = 5
3 0
2 years ago
Teams of 4 are competing in a 1/4 mile relay race. Each runner must run the same exact distance. What is the distance each teamm
PSYCHO15rus [73]


As we know 1/4 mile = 402.336 m

So, 402.336 ÷ 4 = 100.584 m

100.584 m = 0.0625 mile or 1/16 mile


Hope it helps you

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4 0
3 years ago
Please help me <br><br>If 180°&lt;α&lt;270°, cos⁡ α=−8/17, what is sin -α?
rewona [7]

Starting from the fundamental trigonometric equation, we have

\cos^2(\alpha)+\sin^2(\alpha)=1 \iff \sin(\alpha)=\pm\sqrt{1-\cos^2(\alpha)}

Since 180, we know that the angle lies in the third quadrant, where both sine and cosine are negative. So, in this specific case, we have

\sin(\alpha)=-\sqrt{1-\cos^2(\alpha)}

Plugging the numbers, we have

\sin(\alpha)=-\sqrt{1-\dfrac{64}{289}}=-\sqrt{\dfrac{225}{289}}=-\dfrac{15}{17}

Now, just recall that

\sin(-\alpha)=-\sin(\alpha)

to deduce

\sin(-\alpha)=-\sin(\alpha)=-\left(-\dfrac{15}{17}\right)=\dfrac{15}{17}

6 0
3 years ago
Read 2 more answers
A sample of students is taken from the school's A honor roll. The school estimates that there are actually 360 students on the A
aliya0001 [1]

Answer:

360 - Y

Step-by-step explanation:

From the information provided in the question, we will understand that the question lacks detailed information.

Given that:

The total number of actual students on the A honor roll = 360

To find the number of students on the A honor roll of 8th graders;

Let denote Y to represent the total number of students who exist on the A honor roll except for the 8th graders.

Then:

The number of 8th graders = all number of students on are on the A honor roll - Y

The number of 8th graders = 360 - Y

If Y is known, then the number of the 8th graders can be fully determined.

5 0
3 years ago
Find the domain of the function. (Enter your answer using interval notation.)
Andreas93 [3]

Answer:

(-\infty,-9)\cup(-9,\infty)

Step-by-step explanation:

The domain of a rational function is all real numbers <em>except </em>for when the denominator equals 0.

So, to find the domain restrictions, set the denominator to 0 and solve for x.

We have the rational function:

s(y)=\frac{7y}{y+9}

Set the denominator to 0:

y+9=0

Subtract 9:

y\neq-9

So, the domain is all real numbers except for -9.

In other words, our domain is all values to the left of negative 9 and to the right of negative 9.

In interval notation, this is:

(-\infty,-9)\cup(-9,\infty)

And we're done :)

4 0
3 years ago
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