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Fynjy0 [20]
3 years ago
15

Plz help me with this asap

Mathematics
1 answer:
Bumek [7]3 years ago
5 0

Answer:

i will answer THIS.. just give me some time

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good morning fellow brainsters please help me i’m tired and i just drank a four loko... can’t think. will give 15 points
borishaifa [10]

Answer:

7. x=3

8. l=11cm and w=7 cm

9. x-5\ge12

10. \frac{x}{3}\le15

Step-by-step explanation:

Question 7.

The given expression is:

12-3(2x+1)=7x-3(7+x)

Expand the parenthesis using the distributive property:

12-6x-3=7x-21-3x

Group similar terms:

-6x-7x+3x=-21+3-12

Simplify

-10x=-30

Divide both sides by -10

x=3

Question 8:

Let the width of the rectangle be; w

The length of the rectangle is l=w+4

The perimeter is given as: P=2(l+w)

Given that the perimeter P=36, then:

36=2[(w+4)+w)]

\implies 36=2(2w+4)

Divide both sides by 2:

\implies 18=2w+4

Subtract 4 from both sides:

\implies 18-4=2w

\implies 14=2w

\implies w=7

The dimensions of the rectangle is: w=7 cm and l=7+4=11cm

Question 9

Let the number be x.

"5 fewer than the number" is written as x-5

"5 fewer than a number is at least 12" becomes

x-5\ge12

Question 10:

Let the number be x.

The quotient of a number and 3 is written as:

\frac{x}{3}

The quotient of a number and 3 is no more than 15 is written as;

\frac{x}{3}\le15

4 0
3 years ago
Expand And Simplify The Following:
Georgia [21]
For all the questions, we will be using the FOIL pattern.
1. (x+3)(x-3)(3x+2)
(x^2-3x+3x-9)(3x+2)
(x^2-9)(3x+2)
3x^3+2x^2-27x-18
2. (2x+1)(x-2)(x+3)
(2x^2-4x+x-2)(x+3)
(2x^2-3x-2)(x+3)
2x^3+3x^2-11x-6
3. (x-3)(2x+1)(3x-2)
(2x^2+x-6x-3)(3x-2)
(2x^2-5x-3)(3x-2)
6x^3-19x^2+x+6
Hope this helped!
8 0
3 years ago
Read 2 more answers
Point V is on line segment UW. Given UW=13 and VW = 11, determine the length of UV
jekas [21]

Answer:

UV = 2

Step-by-step explanation:

Given

UW = 13

VW = 11

Required

Determine UV

From the question, we have

UW = UV + VW

Make UV the subject of formula

UV = UW - VW

Substitute 11 and 13 for VW and UW, respectively

UV = 13 - 11

UV = 2

8 0
3 years ago
Which shows the correct way to use the rule ""multiply by the reciprocal"" for the expression below? 7 divided by StartFraction
guajiro [1.7K]

Given:

The expression is \dfrac{7}{\frac{5}{8}}.

To find:

The shows the correct way to use the rule ""multiply by the reciprocal"" for the given expression.

Solution:

According to the rule "multiply by the reciprocal", if a,b,c,d are four number, then

\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times \dfrac{d}{c}

We have,

\dfrac{7}{\frac{5}{8}}

It can be written as

\dfrac{7}{\frac{5}{8}}=\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}

Using the rule "multiply by the reciprocal", we get

\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}=\dfrac{7}{1}\times \dfrac{8}{5}

\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}=\dfrac{7\times 8}{1\times 5}

\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}=\dfrac{56}{5}

Therefore, the correct option is D.

5 0
3 years ago
Read 2 more answers
What is the recursive rule for the sequence 2, -1, 1/2 , -1/4
Helga [31]

Answer:

a_n=\frac{-1}{2}a_{n-1}

a_1=2

Step-by-step explanation:

The recursive rule is a term defined in terms of other terms in the sequence.

The is a geometric sequence because it has a common ratio.

The common ratio can be found by dividing a term by previous term.

For example, all of these are equal:

\frac{-1}{2}

\frac{\frac{1}{2}}{-1}

\frac{\frac{-1}{4}}{\frac{1}{2}}

They are all equal to \frac{-1}{2}.

So we are saying:

\frac{\text{term}}{\text{previous term}}}=\frac{-1}{2}

More formally:

\frac{a_n}{a_{n-1}}=\frac{-1}{2}.

Multiply both sides by a_{n-1}:

a_n=\frac{-1}{2}a_{n-1}

When doing recursive form, you need to state a term of the sequence (or more depending on the recursive form you have).

So the first term is 2.

So the full thing for the answer is:

a_n=\frac{-1}{2}a_{n-1}

a_1=2

8 0
3 years ago
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