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stira [4]
3 years ago
12

Solve for x in these equations. Verify the solutions.

Mathematics
2 answers:
mash [69]3 years ago
8 0

Answer:

X = 1

Step-by-step explanation:

We Start with this:

5(x + 1) + 6(x + 2) = 7(x + 3)

Next, use the distributive property to open the parenthesis.

5x + 5 + 6x + 12 = 7x + 21

Next, Combine like terms.

11x + 17 = 7x + 21

Add 7x to both sides.

11x = 7x + 4

Subtract 7x from both sides.

4x = 4

Divide both sides by 4.

X = 1

mojhsa [17]3 years ago
4 0

Answer:

5(x + 1) + 6(x + 2) = 7(x + 3) \\ 5x + 5 + 6x + 12  = 7x + 21 \\ 11x - 7x = 21 - 17 \\ 4x = 4 \\ x =  \frac{4}{4}  \\ x = 1

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The volume of a sphere is 2,143.572,ft cubed. To the nearest foot​, what is the radius of the​ sphere? Use 3.14 for pi.
babymother [125]

Volume of a sphere is defined:

V=\frac{4\pi r}{3}

Solve for radius.

3V=4\pi r\Longrightarrow r=\frac{3V}{4\pi}

Now put in the data.

r=\frac{3\cdot2143.572}{4\cdot3.14} \\ \\r=\frac{6430.716}{12.56}\approx\boxed{30010}

The radius of the sphere is 30010ft.

Hope this helps.

r3t40

6 0
4 years ago
g According to Major League Baseball rules, a baseball should weigh between 5 and 5.25 ounces and have a circumference of betwee
12345 [234]

Answer:

a) e probability that a randomly selected baseball has a weight greater than 5.14 ounces

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b)

probability that a randomly selected baseball has a circumference less than 9.03 inches

=P(X<9.03) =(x-a)/(b-a) =(9.03-9)/(9.1-9)=0.3

c) probability that a randomly selected baseball will have a weight between 5.11 and 5.13 ounces and a circumference between 9.04 and 9.06 inches

=((5.13-5.11)/(5.155-5.085))*((9.06-9.04)/(9.1-9.0))=0.0571

3 0
3 years ago
A craft club makes 95 identical paperweights. They got $230.85 from those paperweights. If the profit the club makes is two time
ahrayia [7]

Answer:

the cost of making each paperweight = $0.81

Step-by-step explanation:

First let us calculate the selling price for each paperweight as follows:

total amount gotten = $230.85

number of paperweights = 95

∴ 95 paperweights = $230.85

∴ 1 paperweight = 230.85 ÷ 95 = $2.43

selling price of 1 paperweight = $2.43

Next, let the cost of making 1 paperweight be 'x'

selling price of paperweight = cost of making + profit gotten

The cost of making the paper weight (x) plus the profit made on the paper weight (2x) equals the selling price of each paper weight.

x + 2x = 2.43 (the profit the club makes is two times as much as the cost to make each paperweight)

∴ 3x = 2.43

x = 2.43 ÷ 3 = 0.81

Therefore, the cost of making each paperweight = $0.81

7 0
3 years ago
Aiden makes $22 per hour and Parker makes $26 per hour. Additionally, this week Aiden made a bonus of $100. Given that A and P r
Ksju [112]

Answer:

It's C

Step-by-step explanation:

So if Aiden earns 22 per hour and Parker 26 per hour too you need to add 22+26 and Aiden had a bonus of $100 so you need to do this 22+26= __ + 100 =

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3 years ago
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mars1129 [50]
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6 0
4 years ago
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