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QveST [7]
3 years ago
15

One taco supreme and to be Fritos provide 3480 calories. Two taco supremes and one beef burrito provide 3090 calories. Find the

the caloric content of each item.
Mathematics
1 answer:
alisha [4.7K]3 years ago
5 0

Answer: 900 calories in one taco supreme, 1290 calories in one beef burrito

X= number of taco supremes

Y= number of beef burritos

1x + 2y = 3480

2x + 1y = 3090

Multiply top equation by 2 to make it equal second equation

2(x + 2y = 3480) = 2x +4y = 6960

Solve using by setting equations equal to each other

2x + 4y = 6960

2x + y = 3090

2x = 6960 - 4y

2x = 3090 - y

6960 - 4y = 3090 - y

6960 = 3090 +3y

3870 = 3y

1290 = y (1290 calories in a beef burrito)

Substitute in for number of calories in a taco supreme

2x + (1290) = 3090

2x = 1800

x = 900 (900 calories in a taco supreme)

You can check by substituting the amounts back in to the original equations to see if they add up

1(900) + 2(1290) = 3480 Correct!

2(900) +1(1290) = 3090 Correct!

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7 0
3 years ago
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The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −7 0 −1 1 5 g(x) g(x) =
astra-53 [7]
Question A:

Rewriting the table for f(x):

x      -1       0      1
f(x)   -7      -1      5

Notice that for every increase of one unit in 'x', there are an increase 6 units on f(x). Hence, the gradient of the slope of f(x) is 6. 

g(x) = 5x - 4 ⇒ This function follows the general form of the straight line equation, y = mx + c, where 'm' is the gradient and 'c' is the y-intercept.
Hence, the gradient of the slope of g(x) is 5.

The slope of f(x) is steeper than the slope of g(x).

---------------------------------------------------------------------------------------------------------------

Question B:

The y-intercept is the value of y where a straight line crosses the y-axis (or when x is zero).

From the table of f(x), the y-intercept is -1 (this is the value of 'y' when 'x' is zero)

From the given function g(x) = 5x - 4, the y-intercept is -4. 

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8 0
4 years ago
The length of a rectangle field if 7/5 of its width. if the perimeter of the field is 240 meters, what are the length and width
trasher [3.6K]
Perimeter of any figure is all its sides summed up

for a rectangle, with two equal pairs, that means, length + length + width + width or   2length + 2width, or  2(length + width)

but we know the length is 7/5 the width

width = w
perimeter = P


\bf P=2\left(\frac{7}{5}w +w \right)\qquad P=240\implies 240=2\left(\frac{7}{5}w +w \right)
\\\\\\
120=\frac{7}{5}w +w\impliedby \textit{let's multiply both sides by 5}
\\\\\\
600=7w+5w\implies 600=12w\implies \cfrac{600}{12}=w

and the length is 7/5 of that
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4 years ago
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kirill115 [55]

Answer:

if you are dividing 299.96 If you are multiplying 26.99

Step-by-step explanation:

If you are dividing: Factor the numerator and denominator and cancel the common factors.

If you are multiplying: Simplify the expression.

6 0
3 years ago
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18 + m/4 = 24

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