What is the idea of factoring by grouping?

Answer:

x=21

<1=120

Step-by-step explanation:

So to find x set up an equation like this:

(5x+15)+(3x-3)=180

since the bottom and top lines are congruent they are 'interior angles on the same side of a transversal' which are always supplementary, so that's where 180 comes from.

calculate the equation and you'll get x=21 :D

next to find 1 just put 21 in place of x: 3(21)-3=60

since it's supplementary to angle 1 you take 180-60=120

angle <1=120!

Answer:

EZ

Step-by-step explanation:

A. 15 Percent

B. 40 Percent

Answer:

A) 15% B) 40%

Step-by-step explanation:

Answer:

91148351.8327

Step-by-step explanation:

Calculator

Answer:

£60 per day

Step-by-step explanation:

1 week = 5 days

Dan earned = £300

therefore 1 day = 300 ÷ 5 = £60 per day

Answer:

2.5

Step-by-step explanation:

"Four different positive integers have a mean (average) of 100"

The total of the 4 numbers is then 4* 100 = 400

"the positive difference between the smallest and largest of these integers is as large as possible"

to get the greatest difference the first 3 numbers must be

1, 2 and 3 which totals 6

the 4th number is then 400 - 6 = 394

the four numbers are 1, 2, 3 and 394

The greatest difference is between 1 and 394

"the average of the other two integers"

(2 + 3)/2 = 2.5

The average of the other two integers is 1.5.

An integer is an whole number. An example of an integer is 20.

If the mean of the four integers is 100. It means that the sum of the integers must be 400. If the integers are 0,1,2, 397. The largest number is 397 and the smallest number is 0. The average of the other two integers is (1 + 2 ) / 2 = 1.5

To learn more about mean, please check: https://brainly.com/question/25842202

Answer:

my suggestion to you is that you use a ruler and a piece of paper to draw out the graph then plot the point down and draw the line.

(I hope this helps you!)

Answer:

10

Step-by-step explanation:

Answer:

c  the factor of the inequality is correct - took this test already

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

24 - 8x = -16

Subtract 24 from both sides.

-8x = -40

Divide both sides by -8.

x = 5

Answer:

5

Step-by-step explanation:

24 - 8x = -16

24 + 16 = 8x

8x = 40

x = 40/8

= 10/2

= 5

Answer:

>

Step-by-step explanation:

Squares eventually get bigger then when you multiply

Answer:

the answer is positive.

Step-by-step explanation:

12(-3)(-2)

the 2 negatives cancel out, so you get a positive 6

12(6)

72

positive 72

hope this helped!

mark me brainliest :D

Answer:

2400

Step-by-step explanation:

60(customers/day) x40(days) = 2400 customers in 40 days

so we know m<3=70

m<2=90

m<2+m<1=m<4

try 50?

let me know if it is wrong

The value of [tex]x[/tex] is 29.

The formulae for the surface area ([tex]A_{s}[/tex]) and volume ([tex]V[/tex]) are, respectively:

[tex]A_{s} = 2\cdot (h\cdot l + w\cdot l + h\cdot w)[/tex] (1)

[tex]V = w\cdot h \cdot l[/tex] (2)

Where:

According to the statement, we must equalize (1) and (2) and substitute the remaining variables:

[tex]2\cdot (h\cdot l + w\cdot l + h\cdot w) = w\cdot h\cdot l[/tex]

[tex]2\cdot h\cdot l + 2\cdot w \cdot l + 2\cdot h\cdot w = w \cdot h \cdot l[/tex]

[tex]2\cdot \log_{2}x\cdot \log_{4}x+2\cdot \log_{3}x\cdot \log_{4}x+2\cdot \log_{2}x\cdot \log_{3}x = \log_{2}x\cdot \log_{3}x\cdot \log_{4}x[/tex]

By applying logarithm properties, we simplify the expression:

[tex]2\cdot \log_{2}x\cdot \left(\frac{\log_{2}x}{\log_{2}4} \right) + 2\cdot \left(\frac{\log_{2}x}{\log_{2}3} \right)\cdot \left(\frac{\log_{2}x}{\log_{2}4} \right) + 2\cdot \log_{2}x\cdot \left(\frac{\log_{2}x}{\log_{2}3} \right) = \log_{2}x \cdot \left(\frac{\log_{2}x}{\log_{2}3} \right)\cdot \left(\frac{\log_{2}x}{\log_{2}4} \right)[/tex]

[tex]2\cdot \left[\frac{1}{\log_{2}4}+\frac{1}{\log_{2}3\cdot \log_{2}4}+\frac{1}{\log_{2}3}\right] = \left(\frac{1}{\log_{2}3\cdot \log_{2}4} \right)\cdot \log_{2}x[/tex]

[tex]2\cdot \left(\frac{\log_{2}3+\log_{2}4+1}{\log_{2}3\cdot \log_{2}4} \right) = \left(\frac{1}{\log_{2}3 \cdot \log_{2}4} \right)\cdot \log_{2}x[/tex]

[tex]\log_{2}x = 2\cdot (\log_{2}3 + \log_{2}4+1)[/tex]

[tex]\log_{2}x = \log_{2}9 + \log_{2}16 +2[/tex]

[tex]x = 9 + 16 + 4[/tex]

[tex]x = 29[/tex]

The value of [tex]x[/tex] is 29.

We kindly invite to check this question on logarithms: https://brainly.com/question/20838017

Nota - The statement of this question presents typing mistakes and is also incomplete, the corrected form is presented below:

A right rectangular prism whose surface area and volume are numerically equal has edge lengths [tex]\log_{2} x[/tex] (height), [tex]\log_{3}x[/tex] (width) and [tex]\log_{4}x[/tex] (length). What is [tex]x[/tex]?

Answer:

first 3 terms: 6, 9, 14

16^2+5=261

Step-by-step explanation:

1^2+5= 6

2^2+5= 9

3^2+5= 14

Answer:

x = -1/3 or x = 6

Step-by-step explanation:

For this equation, you should use the FOIL method or the BOX method. Break it apart to solve it easier. Sites like mathpapa or symbolab can help break these down for you.

Step-by-step explanation:

sum of 2 angles on a straight line = 180°

therefore,

y + 120 = 180

y = 180 - 120 = 60

y = 60°

now apply angle sum property of triangle

now,

50 + x + y = 180

50 + x + 60 = 180

110 + x = 180

x = 180 - 110

x = 70

therefore, x = 70 & y = 60

hope this answer helps you dear! take care

Answer:

x = 70°

y = 60°

Step-by-step explanation:

hope it helps u

plzz plzz pLZZ MARK AS BRAINLIEST

Answer:

(4 + d) × 2

Step-by-step explanation:

3 cases /3= $11 /3

1 case x 2= 11/3 x2

2 case = 22/3 = (round to the hundreth) $7.33

To solve this issue, first we have to match the denominators, for this we have to take the LCM from the denominators 5.6, Then just solve the fraction normally, See:

[tex]\sf \dfrac{4x}{5}+\dfrac{5x}{6}\to LMC~(5,6)=30\\\\\\\sf =\dfrac{24x}{30}+\dfrac{25x}{30}\\\\\\\sf =\dfrac{24x+25x}{30}\\\\\\\boxed{\sf \frac{49x}{30}}[/tex]

Answer:

In-sufficient data

Step-by-step explanation:

The formula for area is pi*radius*radius

Hi there!

a. A stratified sample can be used by dividing the tenants into two groups: those who have children and those who do not have children. Then, a Sample Random Sample FROM EACH stratum can be conducted for a total of 16 tenants surveyed.

b. Using a cluster sample in this situation could introduce undercoverage or selection bias if there is a distinction between those on some floors and those on others. For example, tenants on lower floors might be more opposed to a playground  (ex: noise, crowd, etc.) in comparison to those on higher floors.

Answer:

5 16/ 17

17 x 5 + 16

85+16

101/17

Step-by-step explanation:

goodluck

Answer:

answer is 101/17

Answer:

You can make as many as you want, infinitely smaller but you need to specify the size of the brownies

Step-by-step explanation:

Answer:

(4x^{(6)})^{(\frac{(3)}{(2)})}

(4x(6))((2)(3))

Step-by-step explanation:

I think that's the answer

Answer:

A & B

Step-by-step explanation:

A rational number is a number that can be written as a fraction or a terminating or repeating decimal. An irrational number is one that cannot be written as a fraction, or one that goes on forever without terminating or repeating in any way. Let's check all of our options and find the ones that are irrational.

Our first option (A) looks irrational! The "..." shows us that it goes on forever, and it doesn't look like it repeats. So this option is irrational.

Our next option is B, the square root of 24. What is the square root of 24? Well, if we look it up on a calculator, we get 4.89897948557..., and it looks like this one doesn't terminate or repeat either. So option B is also irrational.

Option C is the square root of 121. The square root of 121 is 11, which can be written as a fraction (11/1) and is a terminating decimal. So it's rational.

Our last option is D, and it is written already as a fraction, so we know for sure that it's rational. If we divide it out, we get 0.44444... with the 4 going on forever. It's a repeating decimal, and repeating decimals are rational.

So our final answers for which are irrational are A & B.

answer:

32 dimes and 14 quarters

step by step:

32 x 10 = 320

14 x 25 = 350

320 + 350 = 670

670¢ =  6.70$