Step by step explanation

The given equations are  

12x + 4y = 152 ...........1

32x + 12y = 420 .....2

Multiplying equation 1 by 3 to make  coefficient of y same we have:

36x+12y= 456

32x+12y=420

Subtracting the two equations we have:

4x=36.

Dividing by 4 both sides  

x= 9.

Substituting x value in equation 1

12(9) + 4y = 152

108+4y=152

Subtracting 108 both sides: 4y=44.

Dividing both sides by 4.

y=11.

cost of the vegetarian lunch is $11.

In the equations, x represents the cost of a chicken lunch and y represents the cost of a vegetarian lunch.

Answer:

false

Step-by-step explanation:

He needs little over 5 gallons

Answer:

B) 178 mi

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]78^{2} + 160^{2}=c^{2}[/tex]

6084+25600=[tex]c^{2}[/tex]

31684=[tex]c^{2}[/tex]

[tex]\sqrt{31684} =\sqrt{c^{2}}[/tex]

178=c

Answer:

The correct answer is:

Option 2: Yes, because the slopes of lines are negative reciprocals.

Step-by-step explanation:

Given equations of lines are:

Line p: x+2y=1

Line q: y=2x+1

We can determine if two lines are parallel or perpendicular by comparing the slopes of line.

Slope intercept form of line is given by the formula

[tex]y = mx+b[/tex]

Equation of line q is already in slope intercept form.

We have to convert the equation of line p in slope-intercept form

[tex]x+2y = 1\\2y = -x+1\\2y = -\frac{1}{2}x+\frac{1}{2}[/tex]

Slope of line p = 2

Slope of line q = -1/2

We can see that

[tex]2.-\frac{1}{2} = -1[/tex]

The product of slopes of both lines is -1, hence, the lines are perpendicular.

Hence,

The correct answer is:

Option 2: Yes, because the slopes of lines are negative reciprocals.

Answer:

x^2-3x-6

Step-by-step explanation:

x^2- (3*x)-(3*2)

x^2-3x-6

Answer:

Bot ratios are equivalent?  YES

Step-by-step explanation:

The Semi Scooper Sundae has 10 scoops of ice cream and 6 cherries. The ratio of cherries to scoops of ice cream is:

[tex]\frac{6}{10}[/tex]

Simplifying:

[tex]\frac{6}{10}=\frac{3}{5}[/tex]

Ratio= 3:5

The Super Scooper Sundae has 15 scoops of ice cream and 9 cherries. The ratio of cherries to scoops of ice cream is:

[tex]\frac{9}{15}[/tex]

Simplifying:

Ratio= 3:5

Bot ratios are equivalent?  YES

Answer:

There is no picture attached

Step-by-step explanation:

Answer:

favourable outcomes /total outcomes

put ur question in the above formula

I'll get ur ans

Answer: x = 3

Step-by-step explanation: First subtract 2x from both sides to get:

3x + 6 = 15

Then subtract 6 on both sides

3x = 9

Now divide by 3 to isolate x to get...

x = 3

Answer:

8 trips.

Step-by-step explanation:

15 + 1.50 = 16.50

16.50 divided by 2 = 8.25

Step-by-step explanation:

the constant is 6..............

Answer:

2hors she dindid hine his work

Answer:

The correct option is (c).

Step-by-step explanation:

Let x and y denote the cost of game 1 and game 2 respectively.

ATQ,

4x+6y = 18  ....(1)

5x + 5y = 20 ....(2)

Multiply equation (1) by 5 and equation (2) by 4.

20x+30y = 90 ....(3)

20x + 20y = 80 ....(4)

Subtracting equation (3) and (4)

20x+30y - (20x + 20y) = 90-80

20x-20x+30y-20y = 10

10y = 10

y = 1

Put the value of y in equation (1).

4x+6(1) = 18

4x = 18-6

4x = 12

x = 3

Hence, the cost of game 1 is $3.00

Answer:

11/15

Step-by-step explanation:

There are 15 jellies in a box and 11 of them are not red so your answer should be 11/15.

Answer:

C. The IQR is the best measurement of spread for games and movies

Step-by-step explanation:

In a box plot, the Interquartile Range (IQR) can be gotten by finding the range of the rectangular box. That is, The third Quartile (Q3) - the first quartile (Q1).

The IQR is a measure of spread, and it would be appropriate for measuring spread of the data for both Movies and Basketball games displayed by the box plot.

Answer:

C

Step-by-step explanation:

Answer:

f(1)= 5

so x=1

f(5)= 5(5-1) = 20

The value of f(5) is 3125.

In mathematics, a function is represented as a rule that produces a distinct result for each input x. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

f(1) = 5 and f(n) = 5f(n − 1)

Now, for finding the the 5 th term we have to find the remaining four term before the 5th term.

So, n=2

f(2) = 5f(1)

f(2)=  5(5)

f(2)=  25

Now, n=3

f(3) = 5f(2)

f(3)=  5(25)

f(3)=  125

Now, n=4

f(4) = 5f(3)

f(4)=  5(125)

f(4)=  625

Now, n=5

f(5) = 5f(4)

f(5)=  5(625)

f(5)=  3125

Hence, the value of f(5) is 3125.

Learn more about function here:

https://brainly.com/question/12431044

#SPJ2

Answer:

12.06

Step-by-step explanation:

Answer:

The price of 2lb's of steak is 15.86

Step-by-step explanation:

Multiply

Answer:

x-8= -3x+12

adding 8 and 3x on both sides

x-8+8+3x= -3x+3x+12+8

x+3x=20

4x=20 divide by 4

x=5

x+12= -x-6

adding x and subtacating 12 on both sides

x+x+12-12= -x+x-6-12

2x = -18 divide by 2

x= -9

Answer:

101.325423729

Step-by-step explanation:

28.4 x 21.05 =597.82

597.82/5.9=101.325423729

Answer:

The answer is 101.325423729

Step-by-step explanation:

28.4 × 21.05 = 597.82

597.82 ÷ 5.9 = 101.325423729

Answer:

Domain: [0, ∞)

Range: [7850, ∞)

Step-by-step explanation:

A function is defined by the set of ordered pairs having different output values for every input value.

In the graph attached, for every input value (x-coordinates) there is a unique output (y-coordinates) value.

Therefore, graph represents a function.

Domain of the given function → [0, ∞)

Range of the function → [7850, ∞)

you can look at the above photo

Answer:

[tex]a = \frac{y - y}{x - x} = \frac{5 - 5}{2 + 4 } = 0[/tex]

Step-by-step explanation:

I think that is the answer

An equation of a line parallel to y=2x-3 would be y=-2x-3.

Answer:

Step 1:

Start by setting it up with the divisor 9 on the left side and the dividend 25 on the right side like this:

   9 ⟌ 2 5  

Step 2:

The divisor (9) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:

       0    

   9 ⟌ 2 5  

Step 3:

Multiply the divisor by the result in the previous step (9 x 0 = 0) and write that answer below the dividend.

       0    

   9 ⟌ 2 5  

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.

       0    

   9 ⟌ 2 5  

     - 0    

       2    

Step 5:

Move down the 2nd digit of the dividend (5) like this:

       0    

   9 ⟌ 2 5  

     - 0    

       2 5  

Step 6:

The divisor (9) goes into the bottom number (25), 2 time(s). Therefore, put 2 on top:

       0 2  

   9 ⟌ 2 5  

     - 0    

       2 5  

Step 7:

Multiply the divisor by the result in the previous step (9 x 2 = 18) and write that answer at the bottom:

       0 2  

   9 ⟌ 2 5  

     - 0    

       2 5  

      1 8  

Step 8:

Subtract the result in the previous step from the number written above it. (25 - 18 = 7) and write the answer at the bottom.

       0 2  

   9 ⟌ 2 5  

     - 0    

       2 5  

     - 1 8  

         7  

Step-by-step explanation:

Answer and Step-by-step explanation:

Question 4:

We need to solve for y, so we need to use the cosine trig function, which is adjacent divided by hypotenuse.

[tex]cos(21) = \frac{y}{18}\\\\18(cos(21)) = y = 16.8\\\\\\[/tex]

Question 5:

We need to use the sine trig function, which is opposite divided by hypotenuse.

[tex]sin(43) = \frac{31}{x} \\\\x = \frac{31}{sin(43)} = 45.45[/tex]

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