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Maurinko [17]
3 years ago
14

4 tomatoes and 8 avocados cost $10. Six tomatoes and 14 avocados cost $17. How much does a single avocado and a single tomato co

st?
Mathematics
1 answer:
Nataly_w [17]3 years ago
3 0

Answer:

One avocado costs $1 and one tomato costs $0.50

Step-by-step explanation:

Set up a system of equations where t is the number of tomatoes and a is the number of avocados:

4t + 8a = 10

6t + 14a = 17

Solve by elimination by multiplying the top equation by 3 and the bottom equation by -2:

12t + 24a = 30

-12t - 28a = -34

Add them together and solve for a:

-4a = -4

a = 1

Plug in 1 as a into one of the equations and solve for t:

4t + 8a = 10

4t + 8(1) = 10

4t + 8 = 10

4t = 2

t = 0.5

So, one avocado costs $1 and one tomato costs $0.50

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Which of the equations below represents a line parallel to the x-axis?
stiv31 [10]

Answer:

d. y=5

Step-by-step explanation:

The equation of a line parallel to the x-axis will always be in the form y=b, where b is the y-intercept (where on the y-axis the line crosses). So, for y=5, the line crosses the y-axis when y is equal to 5.

The equation of a line parallel to the y-axis will always be in the form x=d, where d is the x-intercept (where on the x-axis the line crosses). So, for option a, x=5, it is a vertical line that crosses the x-axis when x is equal to 5. It is therefore not parallel to the x-axis.

Option b gives an equation that isn't for a linear relation entirely.

Linear equations are typically given in the form y=mx+b, where m is the slope of the line and b is, again, the y-intercept. Option c presents the equation of y=x, and this can be rewritten as y=1x+0. In other words, the slope of the line is 1 and it crosses the y axis when y is equal to 0. Lines that are parallel to the x-axis will always have a slope of 0, so therefore, this line is not parallel to the x-axis.

I hope this helps!

6 0
3 years ago
4.9t+0.3=5.6t+0.72 I need help on my work lol
Whitepunk [10]

The first step that we must take before attempting to solve the problem is to understand what the problem is asking us to do and what is given to us to help accomplish that goal.  Although it does not explicitly state that we must solve for t, this is usually what the problem statement would be asking if we just receive and expression like this.  What is given to us to accomplish that goal is the expression 4.9t+0.3=5.6t+0.72.

Now that we have completed that step, we can move onto the next part which is actually solving the problem.  The next step that we should take when solving for the unknown, in this case t, is to subtract 4.9t from both sides.

<u>Subtract 4.9t from both sides</u>

  • 4.9t+0.3=5.6t+0.72
  • (4.9t-4.9t)+0.3=(5.6t-4.9t)+0.72
  • 0.3=(5.6t-4.9t)+0.72
  • 0.3=(0.7t)+0.72

Now that we got all of the t's to one side, let us isolate t completely and the next step that we should take is to subtract 0.72 from both sides.

<u>Subtract 0.72 from both sides</u>

  • 0.3=0.7t+0.72
  • 0.3 - 0.72=0.7t+0.72 - 0.72
  • 0.3 - 0.72=0.7t
  • -0.42=0.7t

The final step that we need to take to isolate t would be to divide both sides by 0.7 which would remove the coefficient from the unknown variable t and divide 0.7 from -0.42

<u>Divide both sides by 0.7</u>

  • -0.42=0.7t
  • \frac{-0.42}{0.7}=\frac{0.7t}{0.7}
  • \frac{-0.42}{0.7}=t
  • -0.6=t

Therefore, after fully narrowing down the solution we were able to determine that the solution of the unknown variable or t is equal to -0.6

5 0
2 years ago
Which statement describes the relationship between x and y?
stich3 [128]

Answer:

as x increases, y increases

Step-by-step explanation:

3 0
3 years ago
Factor the expression. 24x+3
Olin [163]

Answer:

Step-by-step explanation:

24x = 3 * 8 * x

3     = 3 * 1

Greatest common factor = 3

24x +3 = 3*8x + 3*1

           =3(8x + 1)

6 0
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zhuklara [117]

Step-by-step explanation:

6:36 = 6/36 = 1/6

3:18 = 3/18 = 1/6

therefore this ratios are equivalents...

<em><u>hope </u></em><em><u>this</u></em><em><u> </u></em><em><u>answer </u></em><em><u>helps</u></em><em><u> </u></em><em><u>you </u></em><em><u>dear.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>take </u></em><em><u>care!</u></em>

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3 years ago
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