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olchik [2.2K]
2 years ago
5

The first equation in the system of equations that models this situation is x + y = 70, where x represents the number of 2-point

questions and y represents the number of 4-point questions. What is the other equation in the system? Enter the correct answer in the box. Substitute numerical values in the expression for A, B, and C.​
Mathematics
2 answers:
ziro4ka [17]2 years ago
5 0

Answer: (2x+4y=150) this is right

i

swear

on

my

mama

this

is

correct

my

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Svetach [21]2 years ago
4 0

Answer:

they were right

Step-by-step explanation:

The first equation represents the number of questions on the test. So, the second equation represents how much the questions are worth.

There are x of the 2-point questions, which have a total value of 2x points.

There are y of the 4-point questions, which have a total value of 4y points.

The test has an overall value of 150 points, so the second equation is 2x + 4y = 150.

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Bruce is going grocery shopping. he can go to the deli, the bakery, and the dairy section. How many possibilities are there for
vodomira [7]

Answer:

1. deli, bakery, dairy;

2. deli, dairy, bakery;

3. bakery, dairy, deli;

4. bakery, deli, dairy;

5. dairy, bakery, deli;

6. dairy, deli, bakery

Step-by-step explanation:

6 possibilities

8 0
2 years ago
a toy manufacturer has designed a new piece for use in building models. It is a cube with side lengths 7 mm and has a 3 mm in di
Ray Of Light [21]

Given that the cubical piece has side (s) 7 mm, and a cylindrical hole of diameter (d) as 3 mm.

The volume of the piece can be calculated as,

\begin{gathered} \text{Volume of piece}=\text{ Volume of cube}-\text{ Volume of cylinder} \\ V=s^3-\frac{\pi}{4}d^2s \\ V=7^3-\frac{\pi}{4}(3)^2(7) \\ V=343-\frac{63\pi}{4} \\ V\approx293.52mm^3 \\ V\approx293.52\times10^{-9}\text{ }m^3 \end{gathered}

It is mentioned that the material costs $207 per cubic meter, so the cost (c) of 1 piece is calculated as,

\begin{gathered} \text{Cost of 1 piece}=\text{ Cost per unit volume}\times\text{ Volume of 1 piece} \\ c=207\times293.52\times10^{-9} \\ c\approx60758.64\times10^{-9} \end{gathered}

This is the cost (in dollars) for 1 piece.

Given that the manufacturer wants to produce 1,000,000 such pieces, so the total cost (TC) is calculated as,

\begin{gathered} \text{Total Cost}=\text{ Cost per piece}\times\text{ No. of pieces} \\ TC=60758.64\times10^{-9}\times1,000,000 \\ TC=60758.64\times10^{-9}\times10^6 \\ TC=60758.64\times10^{-3} \\ TC=60.75864 \\ TC\approx60.75 \end{gathered}

Thus, the total prototypes will cost around $60.75

7 0
1 year ago
Express 3 log x^2 + 7 log x as a single log
miss Akunina [59]

Answer:

log x^13.

Step-by-step explanation:

Using the laws of logarithms

a log b = log b^a and  log a + log b = log ab:

3 log x^2 + 7 log x

= log (x^2)^3 + log x^7

= log x^6 + log x^7

= log (x^6*x^7)

= log x^13.

8 0
3 years ago
The morning temp. In Atlanta, Georgia is 21 1/4 degrees. During the day it warms up 6 2/7 degrees. What is the new temp
pogonyaev

Answer:

27 15/28 degrees

Step-by-step explanation:

Since we are adding 21 1/4 to 6 2/7, we need to find the LCD, or, least common denominator, so that we can add 1/4 and 2/7 together.

1*4=4             1*7=7

2*4=8           2*7=14

3*4=12          3*7=21

4*4=16          <u>4*7=28</u>

5*4=20

6*4=24

<u>7*4=28</u>

Since we had to multiply 7 four times to get it equal to 28, we need to take 2/7 * 4/4. This will give you 8/28. Then, since we multiplied 4 seven times to get it equal to 28, we need to take 1/4 *7/7. This will give you 7/28. Finally, you need to add 8/28 and 7/28 since they now share the same denominator.

8/28 + 7/28=15/28

For our last step, we need to add the whole numbers together so the answer is complete.

21+6=27

27+15/28= 27 15/28 degrees

6 0
2 years ago
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8 0
3 years ago
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