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irina1246 [14]
3 years ago
10

F = –2s + 18 The variable s represents the number of shirts Vera has sewn, and the variable f represents the number of yards of

fabric remaining. How many shirts can Vera sew, at most, and still have 10 yards of fabric left?
Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
7 0

Answer:

4 shirts.

Step-by-step explanation:

We have been given an equation F =-2s + 18, where the variable s represents the number of shirts Vera has sewn, and the variable f represents the number of yards of fabric remaining.

To find the number of shirts that Vera can sew and still have 10 yards of fabric left, we will substitute F = 10 and solve for s as:

10 =-2s + 18

Switch sides:

-2s+18=10

-2s+18-18=10-18

-2s=-8

\frac{-2s}{-2}=\frac{-8}{-2}

s=4

Therefore, Vera can sew 4 shirts at most and still have 10 yards of fabric left.

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A motel rents double rooms at $34 per day and single rooms at $26 per day. If 26 rooms were rented one day for a total of $804,
lubasha [3.4K]

Answer: 16 double rooms and 10 single rooms were rented.

Step-by-step explanation:

Let x represent the number of double rooms that were rented.

Let y represent the number of single rooms that were rented.

The total number of rooms rented in a day is 26. It means that

x + y = 26

A motel rents double rooms at $34 per day and single rooms at $26 per day. If all the rooms that were rented for one day cost a total of $804, it means that

34x + 26y = 804 - - - - - - - - - - -1

Substituting x = 26 - y into equation 1, it becomes

34(26 - y) + 26y = 804

884 - 34y + 26y = 804

- 34y + 26y = 804 - 884

- 8y = - 80

y = - 80/ - 8 = 10

x = 26 - y = 26 - 10

x = 16

5 0
3 years ago
Use determinants to find out if the matrix is invertible.
wariber [46]

Answer:

The matrix is not invertible.

Step-by-step explanation:

We are given the following matrix in the question:

A =\left[\begin{array}{ccc}-5&0&1\\-1&3&2\\0&10&6\end{array}\right]

Condition for invertible matrix:

A matrix is invertible if and only if the the determinant is non-zero.

We can find the determinant of the matrix as:

|A| = -5[(3)(6)-(2)(10)]-0[(-1)(6)-(2)(0)] + 1[(-1)(10)-(3)(0)]\\|A| = -5(18-20)+(-10)\\|A| = 10-10\\|A| = 0

Since the determinant of the given matrix is zero, the given matrix is not invertible.

5 0
3 years ago
Can someone help me with number 10, 11, 12, 15, and 16 I don’t understand them thanks
yanalaym [24]

10)

10^2-48:6+25*3=100-8+75=167

11)

8(\frac{16}{4} )+2^2-11*3=32+4-33=3

12)

(\frac{6}{3} +4)^2:4*7=(2+4)^2:4*7=6^2:4*7=36:4*7=9*7=63

13) (your answer is incorrect)

5(9-4)^2-3^2=5*5^2-3^2=5*25-9=125-9=116

14) (your answer is incorrect)

5^2-2^2*4^2-12=25-4*16-12=25-64-12=-51

15)

(\frac{50}{5^2} )^2:4=(\frac{50}{25} )^2:4=2^2:4=4:4=1

16)

\frac{24+32+30+28}{2}-expression to represent this situation

\frac{24+32+30+28}{2}=\frac{114}{2}=57

Answer: In 1 group 57 students

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P.S. Hello from Russia :^)

4 0
3 years ago
Asking again! Please solve! For both! Brainliest and lots of points!
Dennis_Churaev [7]

Answer:

1 D (10, 120)

2 C (20, 40)

Step-by-step explanation:

8 0
3 years ago
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Duas torneiras com um caudal, cada uma de 10 litros/min, enchem um depósito em 15 horas.
WARRIOR [948]
Answer:baybe it will be b
6 0
3 years ago
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