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Mnenie [13.5K]
3 years ago
14

Jonah's family is ordering dinner. Each adult meal costs $8.50, each kid meal costs $6.75, and

Mathematics
1 answer:
katovenus [111]3 years ago
4 0

Answer: D. 8.50a + 6.75k + 1.75(a + k)

Step-by-step explanation:

Cost of adult meal = $8.50

Cost of kid meal = $6.75

Cost of drink = $1.75

Number of adults = a

Number of kids = k

Since everyone orders a meal and

a drink, the expression that can be used to express the total cost of the meal will be:

Cost for adults:

= (8.50 × a) + (1.75 × a)

= 8.50a + 1.75a

Cost for kids:

= (6.75 × k) + (1.75 × k)

= 6.75k + 1.75k.

To get the total cost, we add the cost for adults and kids together. This will be:

= 8.50a + 1.75a + 6.75k + 1.75k.

= 8.50a + 6.75k + 1.75a + 1.75k

= 8.50a + 6.75k + 1.75(a + k)

Therefore, the correct option is D.

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Mrs. Williams is deciding between two field trips for her class. The Science Center charges $135 plus $3 per student. The Dino D
Marianna [84]
Set it up like a regular equation. I used:
3x+135 \ \textless \  6x

As you can see, however, I inserted the "less than" symbol rather than the equal sign because values greater than a certain value can also equal "x". Solve it like a normal equation and you will arrive at:
<u>
</u>x \ \textgreater \  45

This means that, as long as x is greater than 45, "6x" will be greater than "3x+135". Thus, if you bring 46 students, the Science Center will cost less.
5 0
3 years ago
Y = 5x + 7<br> 2x + y = -5<br> Are the equations parallel,<br> perpendicular, or neither?
Nezavi [6.7K]

Lines are neither perpendicular nor parallel.

Step-by-step explanation:

Step 1:

In equation 1, Y = 5X + 7

In equation 2,  Y = -2X -5

Step 2:

Slope Intercept form Y =mX +c

Where m = Slope

Slope of line 1 = 5

Slope of line 2 = -2

m1  is not equal to m2. Hence it is not parallel.

m1  × m2 is not equal to -1. Hence they are not perpendicular.

3 0
3 years ago
Please find the answer to this function! F(2)= 6x^4-10x^3+40x-50
steposvetlana [31]

<u>Answer-</u>

f(2)= 6x^4-10x^3+40x-50=46

<u>Solution-</u>

The given function is,

\Rightarrow f(x)= 6x^4-10x^3+40x-50

Now, we have to find the value of f(x) at x=2 i.e f(2), so putting x as 2 in the given function,

\Rightarrow f(2)= 6(2)^4-10(2)^3+40(2)-50

\Rightarrow f(2)= (6\times 16)-(10\times 8)+(40\times 2)-50

\Rightarrow f(2)= (6\times 16)-(10\times 8)+(40\times 2)-50

\Rightarrow f(2)= 96-80+80-50

\Rightarrow f(2)= 96-50

\Rightarrow f(2)= 46

Therefore, f(2) was found to be 46.


7 0
3 years ago
The frequency with which a cricket chirps varies directly with the temperature. If the cricket chirps 100 times per minute in 80
Karo-lina-s [1.5K]

The answer is: D) 115

The explanation is shown below:

1. You have that the frequency with which a cricket chirps varies directly with the temperature, which you can express it as following:

y=kx

Where y is the frequency with which a cricket chirps, x is the temperature and k is the constant of proportionality.

2.  If the cricket chirps 100 times per minute in 80° weather, you can calculate k as below:

k=\frac{100}{80}=1.25

3. Therefore, the frequency in 92° weather is:

y=1.25x\\y=(1.25)(92)\\y=115

3 0
3 years ago
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olganol [36]
3 1/2 x 1 1/2 x 2 = 2/2 ( in simplest form) not simplified is 7/2, as a decimal is 10.5, and as a mixed number is 10 1/2 hope it helps!
3 0
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