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Kaylis [27]
3 years ago
8

Solve the inequality for x. -8x + 16 > -72 A) x < 7 B) x < 11 C) x > 7 D) x > 11

Mathematics
1 answer:
rjkz [21]3 years ago
8 0

Answer:

B

Step-by-step explanation:

Given

- 8x + 16 > - 72 ( subtract 16 from both sides )

- 8x > - 88

Divide both sides by - 8 , reversing the symbol as a result of dividing by a negative quantity.

x < 11

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HELP ITS A TEST- Question is in the photo
andreyandreev [35.5K]

Answer:

D

Step-by-step explanation:

i simply put the answer in desmos a graphing calculator and compared them hope this helps

7 0
3 years ago
Read 2 more answers
FInd the surface area of the triangular prism
Marta_Voda [28]

Answer:

273.7

Step-by-step explanation:

first fine the sides that isn't the base.

triangle area formula: (b*h)/2

(14*9)/2 = 63

since there are 3 sides you multiply this by three.

63*3=189

then find the base.

same formula since its a triangle.

(12.1*14)/2 = 84.7

now add them both up:

84.7+189 = 273.7

hope this helps!

3 0
3 years ago
Read 2 more answers
Maureen went on a 3 day 50 mile trip. the first day she biked 17 7/8 miles . the second day she biked 18 5/7 miles. How many mil
Inessa [10]
To find the miles for 3rd day, we take away the miles she biked for the first two day from the total.

   50 - 17 \dfrac{7}{8} - 18\dfrac{5}{7}

=50 - 17 \dfrac{7 \times 7}{8 \times 7} - 18\dfrac{5 \times 8}{7 \times 8}

= 48 \dfrac{112}{56}  - 17 \dfrac{49}{56} - 18\dfrac{40}{56}

= 13 \dfrac{23}{56}   \text { miles }

-----------------------------------------------------------------------------------
Answer: She traveled 13 23/56 miles on the third day.
-----------------------------------------------------------------------------------
7 0
3 years ago
Suppose that S is the set of successful students in a classroom, and that F stands for the set of freshmen students in that clas
lora16 [44]

Answer:

b) 24

Step-by-step explanation:

We solve building the Venn's diagram of these sets.

We have that n(S) is the number of succesful students in a classroom.

n(F) is the number of freshmen student in that classroom.

We have that:

n(S) = n(s) + n(S \cap F)

In which n(s) are those who are succeful but not freshmen and n(S \cap F) are those who are succesful and freshmen.

By the same logic, we also have that:

n(F) = n(f) + n(S \cap F)

The union is:

n(S \cup F) = n(s) + n(f) + n(S \cap F)

In which

n(S \cup F) = 58

n(s) = n(S) - n(S \cap F) = 54 - n(S \cap F)

n(f) = n(F) - n(S \cap F) = 28 - n(S \cap F)

So

n(S \cup F) = n(s) + n(f) + n(S \cap F)

58 = 54 - n(S \cap F) + 28 - n(S \cap F) + n(S \cap F)

n(S \cap F) = 24

So the correct answer is:

b) 24

3 0
3 years ago
a fuel mixture consists of 3 parts oil and 11 parts gasoline. the oil costs $0.75 per liter, and the gasoline costs $1.60 per li
kupik [55]

Answer:

Total selling price= $663.82

Selling price per liter= $1.69

Step-by-step explanation:

Giving the following information:

Proportion of oil and gasoline:

Oil= 3/14= 0.21

Gasoline= 11/14= 0.79

The oil costs $0.75 per liter.

The gasoline costs $1.60 per liter.

<u>First, we need to calculate the number of liters of oil and gasoline required:</u>

<u></u>

Oil= 0.21*392= 82.32 liters

Gasoline= 0.79*392= 309.68

<u>Now, the total cost to produce 392 liters:</u>

Total cost= 82.32*0.75 + 309.68*1.6

Total cost= $577.23

<u>Finally, the total and unitary selling price:</u>

Total selling price= 577.23*1.15= $663.82

Selling price per liter= 663.82 / 392= $1.69

6 0
3 years ago
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