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Troyanec [42]
3 years ago
10

A person purchased 10 items to donate to a school. They bought backpacks that cost $25.75 each and notebooks that cost $4.25 eac

h. The total cost of the items is $150. This situation can be represented by a system of equations with a unique solution.
What does the solution (x, y) to the system of equations represent in this context?



A. the cost of all the backpacks



B. the cost of all the notebooks



C. the total amount of money spent on the items



D. the number of backpacks and notebooks purchased
Mathematics
1 answer:
krek1111 [17]3 years ago
6 0

Answer:

D

Step-by-step explanation:

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megans insurance company pays for 90% of her knee surgery after she pays an $800 deductible how much will Megan pay for surgery
algol [13]

Answer:

Megan will have to pay $2, 260 for surgery.

Step-by-step explanation:

1. Translate percent into decimal:

90% -> 0.9

2. Multiply (to find out how much the insurance company pays):

(0.9)(14, 600) = 13, 140

3. Subtract:

14, 600 - 13, 140 = 1, 460

4. Add (to find out how much Megan pays):

1, 460 + 800 = 2, 260


3 0
2 years ago
Read 2 more answers
Carlos made a scale model of his house. The actual width is 30 feet, and the actual length is 45 feet. If the model has a width
olganol [36]
Hello!

Let's make a proportion:

\frac{30}{45} =  \frac{6}{x}

Cross multiply

45 × 6 = 270

Divide by 30

270 ÷ 30 = 9

\framebox {The length is 9 inches}
3 0
3 years ago
What is two plus two
kykrilka [37]

Answer:

Two plus two is four.

Step-by-step explanation:

Imagine you have two cookies. Then imagine you have two more cookies.

cookie  cookie

then you add

cookie  cookie

How many cookies do you have now?

8 0
3 years ago
Multiply the polynomials show steps
Karo-lina-s [1.5K]

Answer:

3a^{4} + 11a³ - 7a² + 18a - 18

Step-by-step explanation:

<u>When multiplying with two brackets, you need to multiply the three terms, (a²), (4a) and (-6) from the first bracket to all the terms in the second brackets, (3a²), (-a) and (3) individually. I have put each multiplied term in a bracket so it is easier.</u>

(a² + 4a - 6) × (3a² - a + 3) =

(a² × <em>3a²</em>) + {a² × <em>(-a)</em>} + (a² × <em>3</em>) + (4a × <em>3a²</em>) + {4a × <em>(-a)</em>} + (4a × <em>3</em>) + {(-6) × <em>a²</em>) + {(-6) × <em>(-a)</em>} + {(-6) × <em>3</em>}

<u>Now we can evaluate the terms in the brackets. </u>

(a² × 3a²) + {a² × (-a)} + (a² × 3) + (4a × 3a²) + {4a × (-a)} + (4a × 3) + {(-6) × a²) + {(-6) × (-a)} + {(-6) × 3} =

3a^{4} + (-a³) + 3a² + 12a³ + (-4a²) + 12a + (-6a²) + 6a + (-18)

<u>We can open the brackets now. One plus and one minus makes a minus. </u>

3a^{4} + (-a³) + 3a² + 12a³ + (-4a²) + 12a + (-6a²) + 6a + (-18) =

3a^{4} -a³ + 3a² + 12a³ -4a² + 12a -6a² + 6a -18

<u>Evaluate like terms.</u>

3a^{4} -a³ + 3a² + 12a³ -4a² + 12a -6a² + 6a -18 = 3a^{4} + 11a³ - 7a² + 18a - 18

5 0
3 years ago
What is the solution set to the inequality 7z+5&gt;47
Vsevolod [243]

Answer:

z>6

<h2>Step-by-step explanation:</h2>

7z+5>47

Remove the 5:

7z+5-5>47-5\\7z>42

Divide by 7 to get z by itself:

\frac{7z}{7} >\frac{42}{7} \\z>6

5 0
3 years ago
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