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MissTica
3 years ago
12

Marcy has 150 to buy packages of hotdogs and hamburgers for her booth at the carnival. Grocery store she found packages of hotdo

gs cost six packages of hamburgers cost 20
Mathematics
1 answer:
bekas [8.4K]3 years ago
6 0

Answer:

Part (A): The required equation will be: 6d+20b=150

Part (B):The required equation will be: d=\frac{150-20b}{6}

Part (C):The required equation will be: b=\frac{150-6d}{20}

Step-by-step explanation:

Consider the provided information.

Let d represents number of packages of hot dogs and b represents the number of packages of hamburgers.

Part (a)

It is given that the cost of a package of hot dogs is $6 and cost of a package of hamburger is $20.

The required equation will be: 6d+20b=150

Part (b) Solve the above equation for d.

Subtract 20b from both sides.

6d=150-20b

Divide 6 from both sides.

d=\frac{150-20b}{6}

The required equation will be: d=\frac{150-20b}{6}

Part (c) Solve the equation for b.

Subtract 6d from both sides.

20b=150-6d

Divide 20 from both sides, we get

b=\frac{150-6d}{20}

The required equation will be: b=\frac{150-6d}{20}

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Arlecino [84]

A midpoint divides a line segment into equal halves.

The value of x is 3.4

Given that:

FG = 11x - 15.6

MG = 10.9

Since M is the midpoint, then:

FG = 2 \times MG

So, we have:

11x - 15.6 =2 \times 10.9

11x - 15.6 =21.8

Collect like terms

11x =15.6 +21.8

11x =37.4

Solve for x

x =3.4

<em>Hence, the value of x is 3.4</em>

Read more about midpoints at:

brainly.com/question/2441957

7 0
3 years ago
What is the equaiton of the line that goes through the point (6,-1) and is parallel to the line represented by the equautions y=
mixas84 [53]

parallel lines have the same slope


The slope-intercept form of a linear equatio is y=mx+b, where m stands for the "slope of the line" and b stands for the "y-intercept of the line"


They give you the equation y= -5/6x+3 Notice this is already on the slope-intercept form, so in this case the slope is -5/6 and the y-intercept is 3


You want an equation of the line that is parallel to the given line. The slopes must be the same, so m=-5/6


So far we have y=-5/6x + b

We don't have b yet but that can be found using the given point (6,-1) which tells you that "x is 6 when y is -1"


Replace that on the equation y=-5/6x + b and you get

-1 = (-5/6)(6) + b

-1 = -5 +b

4 = b

b = 4


We found b, or the y-intercept


Go back to the equation y = -5/6 x + b and replace this b with the b we just found


y = -5/6x + 4

6 0
3 years ago
5. Given: BCDF is a parallelogram; line AB is congruent to line BF
solong [7]
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2 years ago
Lillian kicks a football. Its height in feet is given by h(t)= -16t^2+72th(t)=−16t 2 +72t where tt represents the time in second
Hitman42 [59]

The after 9/4 seconds the football is at its highest point which is 81 feet if Lillian kicks a football. Its height in feet is given by h(t)= -16t²+72t

<h3>What is a parabola?</h3>

It is defined as the graph of a quadratic function that has something bowl-shaped.

\rm  h(t)= -16t^2+72t

Making perfect square:

\rm  h(t)= -[(4t)^2-72t+9^2 -9^2]

\rm  h(t)= -[(4t-9)^2 -81]

\rm  h(t)=  81-(4t-9)^2

The highest point will be when term (4t-9)² becomes zero

So the highest point = 81 feet, and it takes:

t = 9/4 seconds

Thus, the after 9/4 seconds the football is at its highest point which is 81 feet if Lillian kicks a football. Its height in feet is given by h(t)= -16t²+72t

Learn more about the parabola here:

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#SPJ1

7 0
2 years ago
Can someone help me with some questions please!
galben [10]

Answer:

i would say around 61.54%

Step-by-step explanation:

maybe simplify it

4 0
3 years ago
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