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Dahasolnce [82]
3 years ago
9

Write systems of equations from context Lincoln is preparing many gifts for a family holiday party each gift must either be wrap

ped with wrapping paper or prepared in a gift bag. Lincoln can wrap a single gift in 6.5 minutes and he can do a gift bag in 2 minutes Lincoln prepared a total 13 gifts in 57.5 minutes. Write a system of equations that could be used to determine the number of gifts Lincoln wrapped and the number of gift bags he prepared define the variables that you use to write the system.

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
6 0

Answer:

  • w + b = 13
  • 6.5w + 2b = 57.5

Step-by-step explanation:

Let w represent the number of gifts wrapped. Let b represent the number of bags prepared.

  w + b = 13 . . . . gift bags and gifts wrapped

  6.5w +2b = 57.5 . . . . total time spent preparing gifts

_____

Lincoln wrapped 7 gifts and bagged 6.

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Estimate the perimeter and the area of the shaded figure to the nearest whole number.
soldier1979 [14.2K]

Answer:

Step-by-step explanation:

The area and perimeter of the given shaded figure are respectively 33.12 unit² and 20.56 units.

Area and perimeter-based problem:

What information do we have?

Radius of semi-circle = 8 / 2 = 4 unit

Length of remain Rectangle = 8 unit

Width of remain Rectangle = 2 unit

Perimeter of shaded figure = πr + (l + 2b)

Perimeter of shaded figure = (3.14)(4) + [4 + (2)(2)]

Perimeter of shaded figure = 12.56 + 4 + 4

Perimeter of shaded figure = 20.56 units

Area of shaded figure = πr²/2 + lb/2

Area of shaded figure = (3.14)(4)²/2 + (8)(2)/2

Area of shaded figure = (3.14)(8) + 8

Area of shaded figure = 25.12 + 8

Area of shaded figure = 33.12 unit²

5 0
2 years ago
Read 2 more answers
W = 3x + 7y solve for y
mario62 [17]

Answer:

The value of the equation y=\frac{W-3x}{7}.

Step-by-step explanation:

Consider the provided equation.

W = 3x + 7y

We need to solve the provided equation for y.

Subtract 3x from both side.

W-3x= 3x-3x+ 7y

W-3x=7y

Divide both sides by 7.

\frac{7y}{7}=\frac{W-3x}{7}

y=\frac{W-3x}{7}

Hence, the value of the equation is y=\frac{W-3x}{7}.

8 0
3 years ago
Please help,I need it for tomorrow​
Inga [223]

Answer:

<C=26

<B=48

<D=106

<F=42

Step-by-step explanation:

I labeled all the angles to help this make more sense :)

So first we find <C, which is supplementary to <E so just do 180-154=26

Next, we know that <F and <B are equal because they form corresponding angles.

Angles <C <D and <B form a triangle. The three angles of a triangle always equal 180. Now that we know angles <C and <B, we just do 180-26-48=106.

Lastly, to find angle A, we just take 180-106-48=42.

Hope this helps

7 0
2 years ago
Nima uses 2/3 cup peanuts, 1/2 cup cashews, 3/4 cups pecans, and some raisinsin a recipe that makes 2 1/4 cups of trail mix. How
Lesechka [4]

Answer:

8/27 cups

Step-by-step explanation:

Nima uses 2/3 cups of peanuts to make a recipe of 2 1/4 = 9/4 cups of trail mix. If we want to find how many cups of peanuts are there per cup of trail mix, we can do a rule of three:

If 9/4 cups of trail mix need 2/3 cups of peanuts, 1 cup of trail mix need X cups of peanuts:

9/4 cups of trail mix -> 2/3 cups of peanuts

1 cup of trail mix -> X cups of peanuts

9/4 / 1 = 2/3 / X

9/4 = 2/(3*X)

3*X*9 = 4*2

27*X = 8

X = 8/27 cups

7 0
3 years ago
Find an input that yields an output of 214. rule: y= -15x+79
Dafna1 [17]

Answer:

          The input  have to be -9 to get output 214 with the rule y=-15x+79

Step-by-step explanation:

x is the input, y is the output so:

214 = -15x + 79

214 - 79 = -15x

15x = -135

 x = -9

6 0
3 years ago
Read 2 more answers
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