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andriy [413]
4 years ago
11

What is -x - (13 + 4x) = -3 (5-9x) +2. solve the missing variable

Mathematics
1 answer:
kondor19780726 [428]4 years ago
3 0
Step 1.) Distribute
   -x + (-1)(13) + (-1)(4x)= (-3)(5) + (-3)(-9x) + 2
-x -13 -4x= -15 + 27x +2

Step 2.) Combind like terms
   -5x -13= 27x -13

Step 3.) All the x's on one side
   -13= 32x-13

Step 4.) Solve
   x=0
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Shaquira is baking cookies to put in packages for a fundraiser. Shaquira has made 86 chocolate chip cookies and 42 sugar cookies
bija089 [108]

She can make 42 identical packages which contains 2 chocolate chip cookies and 1 sugar cookies.

86 / 2 = 43 chocolate chips cookies

42 / 1 = 42 sugar cookies

Though the chocolate chip cookies can make 43 packs, the sugar cookies cannot fulfill the extra pack for it only has 42 pieces. That is why the maximum number of package that  has identical content is 42 packages.

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3 years ago
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A traditional postage stamp has a width of 4/5 inches and a length of 9/10. What is the area of a traditional postage stamp?
Illusion [34]
4/5*9/10= 36/50 = 18/25

Just multiply the fractions straight across since area is length*height
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3 years ago
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The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lenghts of the bases of
Sati [7]

Answer:

<h2>The lengths of the bases of the trapezoid:</h2><h2>42/h cm and 84/h cm.</h2>

Step-by-step explanation:

The formula of an area of a triangle:

A=\dfrac{bh}{2}

<em>b</em><em> </em>- base

<em>h</em> - height

We have <em>b = 21cm, h = 6cm</em>.

Substitute:

A=\dfrac{(21)(6)}{2}=63\ cm^2

The formula of an area of a trapezoid:

A=\dfrac{b_1+b_2}{2}\cdot h

<em>b₁, b₂</em> - bases

<em>h</em><em> - </em>height

We have <em>b₁ = 2b₂</em>, therefore <em>b₁ + b₂ = 2b₂ + b₂ = 3b₂</em>.

The area of a triangle and the area of a trapezoid are the same.

Therefore

\dfrac{3b_2}{2}\cdot h=63         <em>multiply both sides by 2</em>

3b_2h=126          <em>divide both sides by 3</em>

b_2h=42         <em>divide both sides by h</em>

b_2=\dfrac{42}{h}

b_1=2b_2\to b_1=2\cdot\dfrac{42}{h}=\dfrac{84}{h}

8 0
3 years ago
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What is the product written in scientific notation? (5.91×10−3)⋅(8.7×1010)
romanna [79]

(5.91×10^−3)⋅(8.7×10^10)

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Answer is

B. 5.1417 × 10^8



4 0
3 years ago
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