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IgorLugansk [536]
3 years ago
15

Suppose you got 8 mangoes and 3 apples for $18 and 3 mangoes and 5 apples for $14.50.How many does each mango and each apple cos

t?
Mathematics
1 answer:
lidiya [134]3 years ago
3 0
M = mangoes
a = apples

8m + 3a = 18               Equation 1
3m + 5a = 14.50          Equation 2
Lets multiply equation 1 by 5 and equation 2 by 3
The new equations are:
45m + 15a = 90
9m   + 15a = 43.5

Subtract them and get:
36m = 46.5
m     = 1.30     Divide both sides by 36

Substitute m into equation 2 (either is fine, but choose the easier one)
3(1.30) + 5a = 14.5
3.9     + 5a  = 14.6        Expand the bracket
5a = 10.6                      Minus both sides by 3.9
a   = 2.12                      Divide both sides by 5

Mangoes cost $1.30
Apples cost $2.12 (more like $2.10)

I feel that my working out is wrong, but that is how you work out the answer.
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Lines m and n are parallel. Line m is described by y=4x+2. Line n contains the point (1, -3). Which of the following is an equat
Semmy [17]

The equation of <em>line m</em>, in point-slope form is: y + 3 = 4(x - 1)

<em><u>Recall:</u></em>

  • The slopes of parallel lines are equal to each other.
  • Slope-intercept form equation is: y = mx + b, where m is slope and b is y-intercept.
  • Point-slope form equation is: y - y_1 = m(x - x_1) where, (x_1, y_1) is a point and m is the slope.

Equation of line m is y = 4x + 2

Slope of line m is 4

Since line m and line n are parallel, both lines will have the same slope. Therefore, the slope of line n is 4.

To write the equation for line if it contains the point (1, -3), substitute (x_1, y_1) = (1, -3) and m = 4 into y - y_1 = m(x - x_1):

y - (-3) = 4(x - 1)\\\\\mathbf{y + 3 = 4(x - 1)}

Therefore, the equation of <em>line n</em>, in point-slope form is: y + 3 = 4(x - 1)

Learn more about point-slope equation on:

brainly.com/question/24907633

4 0
2 years ago
How many times longer I s on be mile that one foot
pychu [463]

Answer:

5,280 times

hope this helps

have a good day :)

Step-by-step explanation:

3 0
3 years ago
If ex + e⁻¹= 2, then x =..
harkovskaia [24]

Answer:

\rm x = \dfrac{2e - 1}{ {e}^{2} }

Step-by-step explanation:

\rm Solve \:  for \:  x: \\  \rm \longrightarrow ex +  {e}^{ - 1}  = 2 \\  \\   \rm \longrightarrow e x +  \dfrac{1}{e}  = 2 \\  \\  \rm Subtract \:   \dfrac{1}{e} \:  from \:  both  \: sides: \\   \rm \longrightarrow e x  +  \dfrac{1}{e} -  \dfrac{1}{e}  = 2  -  \dfrac{1}{e}  \\  \\   \rm \longrightarrow ex =  \dfrac{2e}{e} -  \dfrac{1}{e}   \\  \\   \rm \longrightarrow ex =  \dfrac{2e - 1}{e}  \\  \\  \rm Divide \:  both  \: sides  \: by  \: e: \\   \rm \longrightarrow  \dfrac{ex}{e}  =  \dfrac{2e - 1}{e \times e}  \\  \\   \rm \longrightarrow x =  \dfrac{2e - 1}{ {e}^{2} }

6 0
3 years ago
How many 6 oz servings are in a 1.125-quart pitcher of lemonade? There are servings. Enter an integer or decimal number[more..]
suter [353]

Answer:

6

Step-by-step explanation:

1 qt = 4 cups

1 cup = 8 fl oz

1.125 qt * (4 cups)/(1 qt) * (8 fl oz)/(1 cup) = 36 fl oz

(36 fl oz)/(6 fl oz) = 6

Answer: 6 servings

5 0
3 years ago
Please find the domain and range!
SpyIntel [72]

Answer:

Domain: {-2, -3, 6, 8, 10}

Range: {-5, 1, 7, 9}

Step-by-step explanation:

Given:

{(6, -5), (-2, 9), (-3, 1), (10, 7), (8, 9)}

✔️Domain:

This includes all the set of the x-values that are in the relation. This includes, 6, -2, -3, 10, and 8.

Thus, the domain can be represented as:

{-2, -3, 6, 8, 10}

✔️Range:

This includes all corresponding y-values in the relation. They are, -5, 1, 7, and 9.

Range can be represented as:

{-5, 1, 7, 9}

3 0
3 years ago
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