Use the GCF to factor this expression: 90x + 4

Answers

Answer 1
Answer: 90x + 4
 Factor out GCF
    2 ( 45x  +  2) 

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See Attached picture.
: Resolver el sistema de ecuaciones por el método de reducción. -x + 3y = 6 x + y = 2

Can 39/121 be simplified and if so what is it??

Answers

Hi there!


Unfortunately, the beautiful fraction you've given us is simplified enough, and it cannot go any lower than what it is. So basically, you're left with (39)/(121)


Hope this helps!

Message me if you need anything else! I'd be happy to help! :D

What is 2a-3 when a=6

Answers

When a=6,

2a - 3 = 2(6) - 3 = 12 - 3 = 9
2a-3 \ when \ a=6 \n \n 2*6-3 \n =12-3 \n \boxed{=9}

SOLVING QUADRATIC EQUATIONS BY SQUARE ROOT
4m^2-1=-23

Answers

4m^2-1=-23
⇒ 4m^2= -23+1
⇒ 4m^2= -22
⇒ m^2= -22/4
⇒ m^2= -11/2
⇒ m is undefined for all m∈R (for m^2 is always ≥0 for all m∈R)

Final answer: 
m is undefined for all m∈R~
4m^2 -1 = -23 Add 1 to both sides 4m^2 = -22 then divide both sides by 4. m^2 = -11/2. Square root both sides. m = ((square root of 22)/2) times i

Which of the following creates 90° angles at the points of intersection and also cuts a segment into two congruent pieces?A. Perpendicular line

B. Perpendicular bisector

C. Angle bisector

D. Bisector

Answers

Perpendicular bisector

The table below shows data from a survey about the amount of time students spend doing homework each week. The students were either in college or in high school:High Low Q1 Q3 IQR Median Mean σ
College 20 6 8 18 10 14 13.3 5.2
High School 20 3 5.5 16 10.5 11 11 5.4

Which of the choices below best describes how to measure the spread of this data?
A. Both spreads are best described with the IQR.
B. Both spreads are best described with the standard deviation.
C. The college spread is best described by the IQR. The high school spread is best described by the standard deviation.
D. The college spread is best described by the standard deviation. The high school spread is best described by the IQR.

Answers

Answer:

C. The college spread is best described by the IQR. The high school spread is best described by the standard deviation.

Step-by-step explanation:

If data is normally distributed we use Standard deviation otherwise we use Interquartile Range (IQR) for measuring the spread.

Further, data is said to be normally distributed if Mean = Median = Mode.

So, High School data is normally distributed but College data is not.

So, We measure the spread of College data by IQR and High School data by Standard Deviation.

Thus, Option C is the only correct option.

Mary Moneypenny went to her bank each week and opened a club account. She deposited $21.75 per time period. If she made 12 deposits before interest was credited, how much would she have deposited before interest was credited?

Answers

Answer:

The $261 Mary deposited before interest was credited .

Step-by-step explanation:

As given

Mary Moneypenny went to her bank each week and opened a club account. She deposited $21.75 per time period.

She deposited $21.75 per time period.

If she made 12 deposits before interest was credited.

Than

Mary deposited before interest was credited = 21.75 × 12

                                                                           = $ 261

Therefore the $261 Mary deposited before interest was credited .

lets see step by step,
she goes 12 times to the bank and made a deposit of $21.75 each time, therefore she have deposited:

deposit = 12*21.75 = $261

that is the amount she deposited before receiving any interest.