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Gnesinka [82]
2 years ago
6

Jeff brought a bottle of water for $2.He also brought some hot dogs for $3 each.Jeff did not spend more than $14 on the hot dog

and bottle of water.Which inequality can be used to find h,the number of hot dogs that Jeff could have -------------------------------------------------------------

Mathematics
2 answers:
Gala2k [10]2 years ago
8 0
The answer would be D because 3h + 2 (water) has to be less than or equal to > 14
sveticcg [70]2 years ago
5 0
I believe the answr would be d because 3h+ 2= water and that has to be less than or equal to 14.

hope this helps
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Kate packs snow into 5 identical jars. Each jar represents a different depth of snow. Kate then lets the snow in each jar comple
Xelga [282]

Answer:

A, C, E

Step-by-step explanation:

From the table you can see that the water depth cahnges

0.8-0.4=1.2-0.8=1.6-1.2=2.0-1.6=0.4\ in

for every

4-2=6-4=8-6=10-8=2\ in of snow (option B is false).

This means that the function modelling this situation is linear function (option A is true and option D is false). Let the equation of this function be y=ax+b. Then

0.4=2a+b,\\ \\0.8=4a+b.

Subtract these two equations:

2a=0.8-0.4,\\ \\2a=0.4,\\ \\a=0.2.

Hence,

b=0.4-2\cdot 0.2=0.

The equation of the straight line (the graph of linear function) is y=0.2x. (option E is true) This line passes through the point (0,0), because its coordinates satisfy the equation (option C is true).

9 0
2 years ago
Read 2 more answers
In △ABC, m∠A=15 °, a=10 , and b=11 . Find c to the nearest tenth.
pshichka [43]

Answer:

The answer is:

\bold{c\approx 20.2\ units}

Step-by-step explanation:

Given:

In △ABC:

m∠A=15°

a=10 and

b=11

To find:

c = ?

Solution:

We can use cosine rule here to find the value of third side c.

Formula for cosine rule:

cos A = \dfrac{b^{2}+c^{2}-a^{2}}{2bc}

Where  

a is the side opposite to \angle A

b is the side opposite to \angle B

c is the side opposite to \angle C

Putting all the values.

cos 15^\circ = \dfrac{11^{2}+c^{2}-10^{2}}{2\times 11 \times c}\\\Rightarrow 0.96 = \dfrac{121+c^{2}-100}{22c}\\\Rightarrow 0.96 \times 22c= 121+c^{2}-100\\\Rightarrow 21.25 c= 21+c^{2}\\\Rightarrow c^{2}-21.25c+21=0\\\\\text{solving the quadratic equation:}\\\\c = \dfrac{21.25+\sqrt{21.25^2-4 \times 1 \times 21}}{2}\\c = \dfrac{21.25+\sqrt{367.56}}{2}\\c = \dfrac{21.25+19.17}{2}\\c \approx 20.2\ units

The answer is:

\bold{c\approx 20.2\ units}

4 0
2 years ago
In the library at Lenape Elementary School, there are
ValentinkaMS [17]

<em><u>Question:</u></em>

In the library at Lenape Elementary School, there are 3/8  as many fiction books as there are nonfiction books. There are 44 books in the school library. How many books are fiction books?

<em><u>Answer:</u></em>

There are 12 fiction books in library

<em><u>Solution:</u></em>

Let "x" be the number of non fiction books

Then given that,

There are 3/8  as many fiction books as there are nonfiction books

Fiction\ books = \frac{3}{8}x

There are 44 books in the school library

Therefore,

Non fiction books + fiction books = 44

x + \frac{3x}{8} = 44\\\\\8x + 3x = 44 \times 8\\\\11x = 44 \times 8\\\\x = 4 \times 8\\\\x = 32

How many books are fiction books?

Fiction\ books = \frac{3}{8}x = \frac{3 \times 32 }{8} = 12

Thus there are 12 fiction books in library

5 0
2 years ago
A high school coach needs to buy new athletic shorts for the 15 members of the basketball team. The coach must spend less than $
Studentka2010 [4]

Answer:

15x < 200; x < 13.33; the maximum price for a pair of shorts

Step-by-step explanation:

1. Set up the inequality

Let x = price of a pair of shorts. Then

 15x = price of shorts for the team

You have one condition:

15x < 200

2. Solve the inequality

\begin{array}{rcl}15x & < & 200\\\\x & < & \dfrac{200}{15}\\\\x & < & \mathbf{13.333}\\\end{array}

3. Meaning of solution

The solution represents the maximum price the coach can pay for a pair of shorts.

If the coach pays $13.33 per pair, the total cost for the team will be $199.95, and the condition is satisfied.

4 0
2 years ago
Read 2 more answers
1) A group of five friends goes to the state fair. Each friend pays the entrance fee and buys
kari74 [83]

Answer:

5(d - 4)

Step-by-step explanation:

Entrance fee per head = d

Entrance fee for the 5 friends = 5*d = 5d

Booklet of ride ticket per head = 2.5d

Booklet of ride ticket for the 5 friends = 5(2.5d)

Meal ticket per head = d - 4

Meal ticket for the 5 friends = 5(d - 4)

Total amount paid altogether by the five friends = 5d + 5(2.5d) + 5(d - 4)

From this breakdown above, the total amount paid by the 5 friends for their meal tickets = 5(d - 4)

8 0
1 year ago
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