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lana [24]
3 years ago
7

The equation y = 7x+25 gives the number of minutes it takes to prepare a meal y given the number of people being served x. Which

statement is true?
A. For every extra minute it takes to prepare a meal, 7 more people can be fed.
B. For every extra minute it takes to prepare a meal, 25 more people can be fed.
C. For every extra person served, the time it takes to prepare a meal increases by 7
minutes.
D. For every extra person served, the time it takes to prepare a meal increases by 25
minutes.
Mathematics
1 answer:
klemol [59]3 years ago
8 0

<u>Answer-</u> C. For every extra person served, the time it takes to prepare a meal increases by 7  minutes.

<u>Solution- </u>

<em>y = 7x+25</em>

Where y = the number of minutes it takes to prepare a meal

           x = the number of people being served.

If the number of persons increased by one, so x' = (x+1)

Then y' = 7x' + 25 = 7(x+1) + 25 = 7x + 7 + 25 = 7x + 25 + 7 = y + 7

∴ As y gets increased by 7 for every 1 more person , so C is the correct answer.


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Which shapes can be drawn with two opposite angles equal to 105°
sertanlavr [38]

Answer:

see the explanation

Step-by-step explanation:

we know that

A shape with two opposite angles equal to 105° could be a quadrilateral, a parallelogram, a rhombus or a trapezoid

Because

<em>A quadrilateral</em>: A quadrilateral is a four-sided polygon. The sum of the interior angles in any quadrilateral must be equal to 360 degrees

so

If the quadrilateral have two opposite angles equal to 105°, then the sum of the other two interior angles must be equal to

360^o-2(105^o)=150^o

<em>A parallelogram</em>: A Parallelogram is a flat shape with opposite sides parallel and equal in length. Opposite angles are congruent and consecutive angles are supplementary

so

If the parallelogram have two opposite angles equal to 105°, then the measure of each of the other two congruent interior angles must be equal to

180^o-105^o=75^o

<em>A rhombus</em>: A Rhombus is a flat shape with 4 equal straight sides. A rhombus looks like a diamond. All sides have equal length. Opposite sides are parallel. Opposite angles are congruent and consecutive angles are supplementary

so

If the Rhombus have two opposite angles equal to 105°, then the measure of each of the other two congruent interior angles must be equal to

180^o-105^o=75^o

<em>A trapezoid</em>: A trapezoid is a 4-sided flat shape with straight sides that has a pair of opposite sides parallel

so

If the trapezoid have two opposite angles equal to 105°, then the sum of the other two interior angles must be equal to

360^o-2(105^o)=150^o

4 0
3 years ago
The wheels on a car have a diameter of 28 inches. How many full
Lorico [155]

Answer:

27

Step-by-step explanation

14 is the radius so multiply by pi to get 87.96

then turn 200 fee into in which is 2400in

and divide 2400 by 87.96

7 0
3 years ago
the perimeter of a rectangle is 55 inches. the ratio of the length to width is 7:4. use proportions to find the area of the rect
Leni [432]

Answer:

Step-by-step explanation:

let : x the length and y the width    .... ( x  > y and x ; y reals numbers )

the perimeter is : 2(x+y)

2(x+y) = 55...(1)

x/y = 7/4 ...(2)

by (2) : x = (7/4)y

subsct in (1) : 2( (7/4)y +y ) =55

(7/2)y +2y =55

multiply by 2

7y +4y = 110

11y = 110

y = 10

x = (7/4)(10)

x = 35/2

4 0
3 years ago
Brainliest to first right, along with 5 stars, and a thanks, lol:)
vlada-n [284]

Answer:

B

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
If L is the line having x -intercept of -1 and y -intercept of 3, complete the equation of L . y = -x + 3 y = -3x + 3 y = 3x + 3
cupoosta [38]

Answer:

y = 3x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3) ← x and y- intercepts

m = \frac{3-0}{0+1} = \frac{3}{1} = 3

The line crosses the y- axis at (0, 3) ⇒ c = 3

y = 3x + 3 ← equation of line

5 0
3 years ago
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