Alexandra is trying to factorise fully15y + 30. Rebecca says the answer is 3(5y + 10) Victoria says the answer is 5(3y + 6) Alexandra says both Rebecca and Victoria are incorrect, why?​

Answers

Answer 1

Answer:

Step-by-step explanation:

They are not wrong exactly. Their answers are just incomplete. They did not take the factoring process to it's end.

Victoria could pull out another three.

Rebecca could pull out another five.

The answer is 15(y + 2)

Answer 2

Answer:

because:  3(5y + 10)=15y+30 (Distributive property between addition and multiplication )

the same we have  5(3y + 6)=15y+30

Step-by-step explanation:


Related Questions

5/√2+9/√8-2√50+√32 rationalise the denominator and simplify

Answers

The simplification of the expression is  [tex]\frac{15\sqrt{2} }{4}[/tex]

How to rationalize the denominator

First, find the factors of the number that ahs square root

Given,

= [tex]\frac{5}{\sqrt{2} } + \frac{9}{\sqrt{6} } - \frac{2}{\sqrt{50} } + \sqrt{32}[/tex]

Multiply the numerators by the surd of the denominators

= [tex]\frac{5 *\sqrt{2} }{\sqrt{2}*\sqrt{2 } } + \frac{9 *\sqrt{8} }{\sqrt{8}* \sqrt{8} } - \frac{2 *\sqrt{50} }{\sqrt{50 * \sqrt{50} } } + \sqrt{32}[/tex]

Multiply through and find their square root

= [tex]\frac{5\sqrt{2} }{2} + \frac{18\sqrt{2} }{8 } - \frac{10\sqrt{2} }{50} + 16\sqrt{2}[/tex]

To simply, we have

= [tex]\frac{5\sqrt{2} }{2}+ \frac{9\sqrt{2} }{4} + \frac{1\sqrt{2} }{5} + 16\sqrt{2}[/tex]

Find the LCM

= [tex]\frac{10\sqrt{2} + 45\sqrt{2}+ 4\sqrt{2} + 16\sqrt{2} }{20}[/tex]

Add through

= [tex]\frac{75\sqrt{2} }{20}[/tex]

= [tex]\frac{15\sqrt{2} }{4}[/tex]

Thus, the simplification of the expression is  [tex]\frac{15\sqrt{2} }{4}[/tex]

Learn more about surds here:

https://brainly.in/question/4594146

#SPJ1

27x + 24y= 4.5

1.5x + y =0.225

Answers

Answer:

x = 0.1, y = 0.075

Step-by-step explanation:

Given the 2 equations

27x + 24y = 4.5 → (1)

1.5x + y = 0.225 → (2)

Multiplying (2) by - 24 and adding to (1) will eliminate the y- term

- 36x - 24y = - 5.4 → (3)

Add (1) and (3) term by term to eliminate y

- 9x = - 0.9 ( divide both sides by - 9 )

x = 0.1

Substitute x = 0.1 into either of the 2 equations and solve for y

Substituting into (2)

1.5(0.1) + y = 0.225

0.15 + y = 0.225 ( subtract 0.15 from both sides )

y = 0.075

Answer:

the values for x AND y are 0.1 and 0.075 respectively

Simplify the expression.

StartFraction negative 44.288 minus 31.6 over negative 3.1 (6 minus 1.2) EndFraction
–5.1
–4.21
3.42
5.1

Answers

Answer:

5.1

Step-by-step explanation:

ik i am in the future

Select the correct answer.
Which graph represents this equation?
Y=3/2x to the second -6x

Answers

Answer:

the answer is D

Step-by-step explanation:

First you make the y = 0 then you swap the sides

3/2x^2-6x=0 then you factor the expressions X * (3/2x-6)=0. when the product of factors 0, one of the factors are 0.  X=0 finally solve for the other X. 3/2x-6=0  X=0 X=4  

What is the measure of JK?

Answers

your answer will be B

Can anyone help me with this pls :)

Answers

it should be around -6 and -5 but i’m not very sure

what is -3/5 as a decimal​

Answers

Answer:

-0.6

Step-by-step explanation:

Answer:

as a decimal is -0.6

Hope it's right if not then sorry, have a great day:)

the expression 3xy+12y-5x+7w has how many terms in polynomial ??

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

There are 4 individual terms in the polynomial:

3xy

12y

-5x

7w

NOW ASAP PLEASE NEED FAST ANSWERRRRRRRR

Answers

Let's take any 2 points from the line.

1. (-4,-2)

2. (-2,-7)

[tex]slope \\ = \frac{Δy}{Δx} \\ = \frac{y_{2} - y_1}{x_{2} - x_1} \\ = \frac{ 7 - ( - 2)}{ - 2 - ( - 4)} \\ = \frac{5}{2} \\ = 2 \frac{1}{2} \\ = 2.5[/tex]

One angle on the base of an isosceles triangle is 30°. What is the measure of its vertical angle?​

Answers

Answer:

120 degrees

Step-by-step explanation:

vertical angle of isoceles = 180 - 2(base angles) = 180 - 2(30) = 120

Answer:

isosceles triangle means both angle or sides equal so in this way

unknown angle + 30 + 30 = 180°

unknown angle+60=180

so unknown angle=120°

which is vertical angle

I'm Timed
Which situation could this expression represent?
6 + 15 ÷ 3

Michael has 6 stamps in his collection. He adds 15 more stamps to the collection. He divides the collection into 3 piles. How many stamps are in each pile?

Walter has 6 stamps in his collection. He divides the stamps evenly into 3 piles and adds 15 new stamps to one of the piles. How many stamps are in this pile?

Andy has 15 stamps in his collection. He divides the stamps evenly into 3 piles and adds 6 stamps to one of the piles. How many stamps are in this pile?

Brycen has 15 stamps in his collection. He adds 6 more stamps to the collection. He divides the collection into 3 piles. How many stamps are in each pile?

Answers

It would be C. Because PEMDAS. Division goes first in this equation. So it’d be 15 divided by 3 plus 6

Answer:

It's Micheal because he started with 6 and added 15 and he divided them into 3 piles

Find the slope of the line passing through (6.-1) and (7,3). Let (x1, y1) = (6.-1) and (x2.72) =
(7,3). List the coordinates, fill in the slope formula, and then simplify.
1 =
X2=
J1 =
12=
slope =

Answers

Answer:

X1=6

X2=7

y1= -1

y2= 3

now,

slope = y2-y1/x2-x1

= 3+1/7-6

=4/1

=1

hence slope= 1

Help anyone can help me do this question,I will mark brainlest. The question is find the area of the shaded region.​

Answers

Answer:

13. 10

14. 51

Step-by-step explanation:

Answer:

13. 10

14. 51

Step-by-step explanation:

lowkey need help with this.

Answers

9514 1404 393

Answer:

  c = 14

  no extraneous solutions

Step-by-step explanation:

You can subtract the right-side expression, combine fractions, and set the numerator to zero.

  [tex]\dfrac{c-4}{c-2}-\left(\dfrac{c-2}{c+2}-\dfrac{1}{2-c}\right)=0\\\\\dfrac{c-4}{c-2}-\dfrac{1}{c-2}-\dfrac{c-2}{c+2}=0\\\\\dfrac{(c-5)(c+2)-(c-2)^2}{(c-2)(c+2)}=0\\\\\dfrac{(c^2-3c-10)-(c^2-4c +4)}{(c-2)(c+2)}=0\\\\\dfrac{c-14}{(c-2)(c+2)}=0\\\\\boxed{c=14}[/tex]

__

Check

  (14 -4)/(14 -2) = (14 -2)/(14 +2) -1/(2 -14) . . . . substitute for c

  10/12 = 12/16 -1/-12

  5/6 = 3/4 +1/12 . . . . true

There is one solution (c=14) and it is a solution to the original equation. There are no extraneous solutions.

If 12(x - a)(x - b) = 12x² - 7x - 12 , then ab =

Answer choices :

1
-1
7
12
-12​

Answers

Answer: -1

Step-by-step explanation:

12x^2-7x-12 = (4x+3)(3x-4)

4x+3=0. X = -3/4

3x-4=0. X = 4/3

(-3/4) (4/3) = -1

GIVING BRAINLIEST TO CORRECT ANSWERS

Answers

Answer:

b is the correct answer

Step-by-step explanation:

Question 9 (5 points)
3
6
9
--
What's the approximate measure of one interior angle of the regular polygon shown?
12
A) 1,620°
>
15
B) 220°
C) 2.7°
18
D) 147.3°

Answers

Answer:

147.3

Step-by-step explanation:

this is an hendecagon there is 11 sides the total interior measure is 1,620 if you divide that by each side which would be 11 you get 147.272727 which would ultimately round up to be 147.3

HEEEEEEEEEEEEEEEEEEEELP

Answers

Answer:

5:30 PM

Step-by-step explanation:

35 mp ½ hour = 70 mph

245 miles ÷ 70 mph = 3½ hours

2PM + 3½ hours = 5:30 PM

Can somebody help me please!!!!!

Answers

Answer:

0

Step-by-step explanation:

g[f(x)] = x^2 - 3

= 3x^2

if gf(0) = 3(0)^2

= 0

the Marked price of an article is rupees 1600 if it is sold for rupees 1472 what is the discount rate​

Answers

Step-by-step explanation:

1600-1472=128

128/1600×100

2x(3x - 2) + (3x - 2)
let's writefollowing expression as product of their factor.​

Answers

Answer:

6 x ^2  −  x −  2

Step-by-step explanation:

Remove parentheses.

2 x  ( 3 x  −  2 ) +  3 x  −  2

Simplify each term.

6 x ^2  −  4 x  +  3 x  −  2

Add  − 4 x  and  3 x .

6 x ^2  −  x −  2

Answer:

(3x - 2)(2x + 1)

Step-by-step explanation:

Given

2x(3x - 2) + (3x - 2) ← factor out (3x - 2) from each term

= (3x - 2)(2x + 1) ← as a product of factors

Answer this question​

Answers

Answer:

[tex]\huge\boxed{width=12cm}[/tex]

Step-by-step explanation:

[tex]l-length\\w-width\\P-perimeter[/tex]

The formula of perimeter of the rectangle:

[tex]P=2l+2w=2(l+w)[/tex]

Substitute:

[tex]l=6w\\\\P=168cm[/tex]

[tex]168=2(6w+w)\\168=2(7w)\\168=14w\qquad|\text{divide both sides by 14}\\\\\dfrac{168}{14}=\dfrac{14w}{14}\\\\12=w\Rightarrow w=12(cm)[/tex]

Answer:

Width of rectangle = 12 cm

Step-by-step explanation:

Let us assume that,

→ Length = 6x

→ Width = x

→ Perimeter = 168 cm

Perimeter of rectangle,

→ P = 2(L + W)

Forming the equation,

→ 168 = 2(6x + x)

Now the value of x will be,

→ 168 = 2(6x + x)

→ 2 × 7x = 168

→ 14x = 168

→ x = 168/14

→ [ x = 12 ]

Then the length and width is,

→ Length = 6x = 6(12) = 72 cm

→ Width = x = 12 cm

Hence, required width is 12 cm.

M angle a=40° then m angle b=?​

Answers

Answer:

not enough info

Step-by-step explanation:

A city has a property tax rate of 70 mills and an assessment level of 40%.
What is the effective property tax rate? Round your answer to the nearest
tenth of a percent.

Answers

Mill rate is a tax rate—the amount of tax payable per dollar of the assessed value of a property. Mill is derived from the Latin word millesimum, meaning thousandth. As used in property tax, 1 mill is equal to $1 in property tax levied per $1,000 of a property's assessed value.

The population, P, of six towns with time t in years are given by the following exponential equations:
(i) P = 1000 (1.08) Superscript t (ii) P = 600 (1.12) Superscript t
(iii) P = 2500 (0.9) Superscript t (iv) P = 1200 (1.185) Superscript t
(v) P = 800 (0.78) Superscript t (vi) 2000 (0.99) Superscript t
Which town decreasing the fastest?
a.
ii
c.
iii
b.
v
d.
vi



Please select the best answer from the choices provided


A
B
C
D

Answers

Given:

The population, P, of six towns with time t in years are given by the following exponential equations:

(i) [tex]P=1000(1.08)^t[/tex]

(ii) [tex]P = 600 (1.12)^2[/tex]

(iii) [tex]P =2500 (0.9)^t[/tex]

(iv) [tex]P=1200 (1.185)^t[/tex]

(v) [tex]P=800 (0.78)^t[/tex]

(vi) [tex]P=2000 (0.99)^t[/tex]

To find:

The town whose population is decreasing the fastest.

Solution:

The general form of an exponential function is:

[tex]P(t)=ab^t[/tex]

Where, a is the initial value, b is the growth or decay factor.

If b>1, then the function is increasing and if 0<b<1, then the function is decreasing.

The values of b for six towns are 1.08, 1.12, 0.9, 1.185, 0.78, 0.99 respectively. The minimum value of b is 0.78, so the population of (v) town  [tex]P=800 (0.78)^t[/tex] is decreasing the fastest.

Therefore, the correct option is b.

A sociologist polled a random collection of people and asked them their
age and annual income. The two-way frequency table below shows the
results. Which of the following is true about the people polled?
A
People age 44 and under were more likely to earn at
least $50,000 than people age 45 and up.
B
People age 44 and under were less likely to earn at
least $50,000 than people age 45 and up.
C
People age 44 and under were equally likely to earn
at least $50,000 as people age 45 and up.
D
There is not enough information to determine if
people age 44 and under were more likely to earn at
least $50,000 than people age 45 and up.

Answers

Answer:

B

Step-by-step explanation:

can someone plz make a histogram for the numbers 60,60,65,71,72,75,80,88,92,95,100,152​

Answers

Answer:

lol sorry i don't know. but i would try my best to find your answer

(x^2+2x+1)+(-x^2+x+3)

Answers

Answer:

3x+4

Step-by-step explanation:

You have to combine like terms to get 3x+4.

Find the sin P rounded to the nearest hundredth

Answers

Answer:

SOH-CAH-TOA

[tex]\sin \left(x\right)=\frac{6}{\sqrt{49+36}}[/tex] = 40.60°

SOH = SIN = OPP/HYP

SIN(Θ) = 6/[tex]\sqrt{49+36 }[/tex]

Step-by-step explanation:

SEE QUESTION IN IMAGE

Answers

Answer:

b) 16.8 g

Step-by-step explanation:

The modal group is 10-20, as it has the greatest frequency of 27.

Estimated mode is calculated by formula:

EM = L + (f(m) - f(m-1))/(f(m) - f(m-1) + f(m) - (f(m+1))*w,

where

L-  lower class boundary of the modal group =10 fm-1 - frequency of the group before the modal group = 10 fm - frequency of the modal group =27 fm+1 - frequency of the group after the modal group = 19 w - group width = 10

Substitute values to get:

EM = 10 + (27 - 10)/(27 - 10 + 27 - 19)*10 = 16.8
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