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shusha [124]
4 years ago
10

Ryan must purchase new pillows and blankets for a donation drive to help people in need. Each new pillow costs $8 and each new b

lanket costs $25. Ryan can spend at most $600, and he must purchase at least 20 blankets.
Let x represent the number of new pillows. Let y represent the number of new blankets.

Which inequalities are among the constraints for this situation?

Select each correct answer.

x > 0

25x+8y≤60025x+8y≤600

x≥20x≥20

y≥20y≥20

8x+25y≤6008x+25y≤600

x+y≥600
Mathematics
1 answer:
alukav5142 [94]4 years ago
5 0

the answers are

8x+25y≤600

x > 0

y≥20.

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frozen [14]

5x-3x=5-1

2x=2

x=1

Step-by-step explanation:

make the xes one side and the numb one side first and solve:

3 0
1 year ago
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(x-8)^2 + (y-2)^2 =9
OverLord2011 [107]

Answer:

Circle with center (8,2), radius=3

Step-by-step explanation:

x=8

y=2

r=3

5 0
3 years ago
Help please ! I dont understand this question ​
EastWind [94]

Answer:

x = 4

Step-by-step explanation:

all angles in triangle add to 180

90+70=160

180-160=20

20÷5=4

6 0
3 years ago
A number to the 12th power divided by the same number to the 9th power equals 216. What is the number?
Annette [7]

Answer:

The given such number is 6.

Step-by-step explanation:

Let the given such number  = m

Now, according to the question, the given expression is:

\frac{(m^{12}) }{(m^{9}) }   =  216

By the LAW OF EXPONENTS:

\frac{x^a}{x^b}  = x^{(a-b)}

⇒Here \frac{m^{12}}{m^9}  = m^{(12-9)}  = m^{(3)}

or, the given expression becomes m^3 =  216\\\implies m = \sqrt[3]{216}  = 6

or, m  = 6

Hence, the given such number is 6.

8 0
3 years ago
What values of a and b make the equation true? StartRoot 648 EndRoot = StartRoot 2 Superscript a Baseline times 3 Superscript b
kramer

Option C: a=3, b=4 is the value of a and b

Explanation:

Given that the expression \sqrt{648}=\sqrt{2^a\times3^b}

We need to determine the value of a and b

Let us consider the term \sqrt{648} and take the prime factorization of the term 648

Thus, we have,

648 divides by 2,

648=2 \cdot 324

324 divides by 2,

648=2 \cdot 2 \cdot 162

162 divides by 2,

648=2 \cdot 2 \cdot 2 \cdot 81

81 divides by 3,

648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 27

27 divides by 3,

648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 9

9 divides by 3,

648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3 \cdot 3

Thus, we have,

\sqrt{648}=\sqrt{2^{3} \cdot 3^{4}}

Therefore, equating the powers of 2 and 3, we get,

a=3, b=4

Hence, the value of a and b is 3 and 4

Thus, Option C is the correct answer.

4 0
3 years ago
Read 2 more answers
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