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sweet [91]
3 years ago
12

Solve the inequality 5(x + 1) > 50

Mathematics
2 answers:
Korolek [52]3 years ago
7 0

Answer:

Step-by-step explanation:

Here you go mate

∴Use PEMDAS

Parenthesis,Exponent,multiplication,Division,Addition,Subtraction

Step 1

5(x+1)>50  Equation/Question

Step 2

5(x+1)>50  Remove parenthesis

5x+5>50

Step 3

5x+5>50  Subtract 5 from sides

5x>45

Step 4

5x>45  Divide sides by 5

Answer

x>9

Hope this helps

Ganezh [65]3 years ago
5 0

Answer:

Step-by-step explanation:

I can help

Step 1

5(x + 1) > 50  Simplifying

Step 2

5(x + 1) > 50   Remove the parenthesis by dividing both sides by 5

x+1>10

Step 3

x+1>10  Subtract 1 from both sides

x+1-1>10-1

Answer

x>9

Hope this helps

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Two similar triangular prisms have volumes of 27 square meters and 64 square meters.
Inessa [10]

Answer:

9/16

Step-by-step explanation:

First we need to know that the dimensions ratio, the surface area ratio and the volume ratio have the following relation:

volume ratio = dimension ratio ^3

surface area ratio = dimension ratio ^2

The volume ratio between small prism and the large prism is 27 / 64.

To find the dimensions ratio, we need to take the cubic root of the volume scale:

dimension ratio = 3√(27/64) = 3/4

Now, to find the surface area ratio, we just need to make the square of the dimension ratio:

surface area ratio = (3/4)^2 = 9/16

8 0
2 years ago
Find a_1 and d for an arithmetic sequence with these terms. a_4=9and a_7=18
jonny [76]
\bf \begin{array}{llll}
term&value\\
-----&-----\\
a_4&9\\
a_5&9+d\\
a_6&(9+d)+d\\
&9+2d\\
a_7&(9+2d)+d\\
&9+3d=\underline{18}
\end{array}\\\\
-------------------------------\\\\
9+3d=18\implies 3d=9\implies d=\cfrac{9}{3}\implies \boxed{d=3}

\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=7\\
d=3
\end{cases}
\\\\\\
a_7=a_1+(7-1)d\implies 18=a_1+(7-1)3\implies 18=a_1+18
\\\\\\
18-18=a_1\implies \boxed{0=a_1}
3 0
3 years ago
Write an expression to represent three minus the product of two and a number x
Rainbow [258]

<em>3 minus ___</em> ⇒ 3 - ___

<em>the product of 2 and a number x</em> ⇒ 2x

"3 minus the product of 2 and a number x" ⇒ 3 - 2x

_____

Each part of the description has a translation.

7 0
3 years ago
PLEASE HELP!!!!!
Ne4ueva [31]

Answer:

Equation: 30=2(x-2)+2(2x+3)

x:\frac{14}{3}

Step-by-step explanation:

By definition, the perimeter of a figure can be calculated by adding the lenghts of its sides.

Knowing this, you can write the following equation:

P=2(x-2)+2(2x+3) <em> [Equation 1]</em>

According to the data given in the exercise, the perimeter in feet of the fighter is:

P=30

Therefore, you can substitute this values into<em> [Equation 1]:</em>

30=2(x-2)+2(2x+3)

Finally, you must solve for "x" in order to find its value. This is:

30=6x+2\\\\30-2=6x\\\\\frac{28}{6}=x\\\\x=\frac{14}{3}

3 0
2 years ago
Answer the question on the image underneath
Nadya [2.5K]

Answer:

I think it's A. sorry if i'm wrong.

Step-by-step explanation:

8 0
3 years ago
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