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3 years ago

What is the following expression when simplified 5x + 8(5 + 2x)?

Mathematics

2 answers:

denpristay [2]3 years ago

6 0

Answer:

5x+56

Step-by-step explanation:

5x+8(5+2)

5x+8(7)

ludmilkaskok [199]3 years ago

4 0

21x + 40

Step-by-Step:

1) Distribute the 8 to both the 5 and 2x by multiplying.

5x + 40 + 16x

2) Combine like terms.

21x + 40

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A rectangles length is 2 in more than its width. The area of the rectangle is 143 square inches. Find the dimensions of the rect

Anastaziya [24]

Answer: The length is 13 inches and the width is 11 inches.

Step-by-step explanation:

Let L represent the length of the rectangle.

Let W represent the width of the rectangle.

The formula for determining the area of a rectangle is expressed as

Area = LW

The area of the rectangle is 143 square inches. This means that

LW = 143 - - - - - - - - - - - - --1

The rectangle's length is 2 in more than its width. This means that

L = W + 2

Substituting L = W + 2 into equation 1, it becomes

W(W + 2) = 143

W² + 2W - 143 = 0

W² + 13W - 11W - 143 = 0

W(W + 13) - 11(W + 13) = 0

W + 13 = 0 or W - 11 = 0

W = - 13 or W = 11

Since the width cannot be negative, it means that W = 11

L = W + 2 = 11 + 2

L = 13

4 0

3 years ago

F and H are sets of real numbers defined as follows.

Marina CMI [18]

Answer:

$(a)F \cup H=(3, \infty)\\(b)F \cap H=(6, \infty)$

Step-by-step explanation:

Given the sets F and H of real numbers defined as given:

F={w | w>3}

H={w | w>6}

To write a set in interval notation, we use these brackets, ( ) for < or > while we use [ or ] for $\leq $ or \geq$ .

Since our sets are defined by strict inequalities(< or >)

In interval notation

$F=(3,\infty), H=(6,\infty)$

$(a) F \cup H =(3,\infty) \cup (6,\infty) \\\\F \cup H=(3, \infty)\\\\(b) F \cap H =(3,\infty) \cap (6,\infty) \\\\F \cap H=(6, \infty)$

8 0

3 years ago

There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters tha

sertanlavr [38]

Answer:

Step-by-step explanation:

Given that there are two machines available for cutting corks intended for use in wine bottles.

X1 = diameter of I machine and X2 = diameter of II machine

X1 is N(3.04, 0.02) and X2 is N(2.9, 3.1)

Acceptable is mean =3 and std dev = 0.1

a) $P(2.9$

b) $P(2.9$

Both are certain events.

6 0

3 years ago

A softball has a volume of 1256π cubic inches. Find the radius of the softball.

RSB [31]

$\bf \textit{volume of a sphere}\\\\
V=\cfrac{4\pi r^3}{3}~~
\begin{cases}
r=radius\\
------\\
V=1256\pi 
\end{cases}\implies 1256\pi =\cfrac{4\pi r^3}{3}
\\\\\\
1256\pi (3)=4\pi r^3\implies \cfrac{1256\pi (3)}{4\pi }=r^3\implies 942=r^3\implies \sqrt[3]{942}=r$

3 0

3 years ago

Read 2 more answers

Water flows through a pipe at a rate of 5 fluid ounces per minute. Express this rate of flow in gallons per hour. Round your ans

irina1246 [14]

Answer:

2.34 gallons per hour

Step-by-step explanation

5 fluid ounces = 0.0390625 gallons

60 min = 1 hour

0.0390625 x 60min = 2.34 gallons per hour

8 0

3 years ago