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m_a_m_a [10]
3 years ago
6

10) 3x + 5(4x – 3) = -61 A) -2 B) -4 C) 6 D) -11

Mathematics
2 answers:
tatuchka [14]3 years ago
5 0

Answer:

A)  -2

Step-by-step explanation:

3x+5(4x-3)= -61

(Distrbute the 4)

3x+20x-15= -61

(Add like terms)

23x-15= -61

(Add opposite)

23x+(-15)= -61

(Do inverse opporation and add 15 which cancels 15 and add it to -61)

23x= -46

(Divide 23 to both sides)

X= =2

skelet666 [1.2K]3 years ago
3 0
3x + 5(4x-3) = -61
3x + 20x - 15 = -61
23x - 15 = -61
23x divided by -46
the answer is A) -2
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Averi was trying to factor 4x2 + 20x - 16. She found
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Answer:

The width will be x^{2} +5x-4

Step-by-step explanation:

Thinking process:

Let the model be:

4x^{2} +20x-16

factoring out 4 gives:

4(x^{2} +5x-4)

Factorizing the expression in the parentheses gives:

4(x^{2} +5x-4)

Therefore, since the expression in the parentheses cannot be factorized further, the expression is:

length = 4 units\\width = x^{2} +5x-4

7 0
2 years ago
Monica deposits ​$400 into a savings account that pays a simple interest rate of 4.4​%. Paul deposits ​$500 into a savings accou
DIA [1.3K]

Answer:

From the above calculation it is clear that The interest earn by Monica is less than the The interest earn by Paul , so Monica is wrong

Step-by-step explanation:

Given as :

The principal amount deposited by Monica in account = $ 400

The rate of interest = 4.4 % at simple interest

The time period = 1 years

Let The interest earn by Monica = $ x

<u>From simple interest </u>

Simple Interest = \dfrac{\textrm principal\times \textrm rate\times \textrm time}{100}

Or, $ x = \dfrac{\textrm $ 400\times \textrm 4.4\times \textrm 1}{100}

Or,  x = $ 17.6

So, The interest earn by Monica =  x = $ 17.6

Again

The principal amount deposited by Paul in account = $ 500

The rate of interest = 3.6 % at simple interest

The time period = 1 years

Let The interest earn by Paul = $ y

<u>From simple interest </u>

Simple Interest = \dfrac{\textrm principal\times \textrm rate\times \textrm time}{100}

Or, $ y = \dfrac{\textrm $ 500\times \textrm 3.6\times \textrm 1}{100}

Or,  y = $ 18

So, The interest earn by Paul =  y = $ 18

∴ As The interest earn by Paul > The interest earn by Monica

Hence from the above calculation it is clear that The interest earn by Monica is less than the The interest earn by Paul , so Monica is wrong Answer

8 0
3 years ago
What is the sum of -4 1/2 + 3 14
Evgen [1.6K]

Answer:

-1 1/4

Step-by-step explanation:

7 0
3 years ago
420/98 rounded to the nearest integer?
trapecia [35]

Answer:

4

Step-by-step explanation:

420 divided by 98 is 4.28571428571, therefore rounding would make the answer 4!

6 0
2 years ago
Alexis, Becca, and Cindy do volunteer work at Adopt-a-Pet Animal Shelter. They worked a total of 285 hours at the shelter last s
swat32

Alexis worked for 59 hours, Becca worked for 74 hours and Cindy worked for 152 hours.

Step-by-step explanation:

Given,

Total hours worked by three of them = 285 hours

Let,

x represent the hours of Alexis.

y represent the hours of Becca.

z represent the hours of Cindy.

According to given statement;

x+y+z=285    Eqn 1

Alexis worked 15 hours less than Becca.

x = y-15         Eqn 2

z = 2y+4        Eqn 3

Putting value of x and z from Eqn 2 and 3 in Eqn 1

(y-15)+y+(2y+4)=285\\y-15+y+2y+4=285\\4y-11=285\\4y=285+11\\4y=296

Dividing both sides by 4

\frac{4y}{4}=\frac{296}{4}\\y=74

Putting y=74 in Eqn 2

x=74-15\\x=59

Putting y=74 in Eqn 3

z=2(74)+4\\z=148+4\\z=152

Alexis worked for 59 hours, Becca worked for 74 hours and Cindy worked for 152 hours.

Keywords: linear equation, division

Learn more about division at:

  • brainly.com/question/9510228
  • brainly.com/question/9443926

#LearnwithBrainly

3 0
3 years ago
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