Expand And Simplify4(2a + 4b) + 3(2a + 2b) (2024)

Answer:

Yes

Step-by-step explanation:

For the first equation all we need to do is distribute 6 to 3x and 5y. 6*3x = 18x and 6*5y = 30y. For the first equation, it will be: 18x + 30y.

The next equation seems hard but it's simple. First you can easily add, 4x and 6x. That will equal 10x. Then from there distribute 2 to 4x and 2y, so do the same thing as before. 2*4x = 8x and 2*2y = 4y. So now our equation looks like this: 10x + 15y + 8x + 4y + 11y. Now all you need to do is add the x's together and the y's together. 10x + 8x = 18x and 15y + 4y + 11y = 30y. Now we have 18x + 30y. Looks the same, and that is true.

Both equations equal 18x + 30y, so therefore the answer is yes or true.

for the first expression you multiply 6 to both numbers in the parentheses.

6(3x+ 5y)
18x + 5y

Since they have different variables ( x and y) you can’t simply this further.

The next expression:

4x + 6x + 15y + 2(4x + 2y) + 11y

First you multiply 2 to both numbers in the parentheses, like how we did in the first expression.

That becomes 8x + 4y

Now we can add all like terms. We add all the numbers with an x variable together and all the numbers with a y variable.

10x + 26y + 8x + 4y

Simplified it becomes

18x + 30y

Therefore the expressions are not equivalent.

Answer:

there is no expression to answer this based off of

Step-by-step explanation:

we can't answer an incomplete question sorry try again and maybe then

Answer:

(-√3/2., -1/2)

Step-by-step explanation:

This is a reflection in the line y = -x.

So x = 1/2 becomes y = -1/2

and y = √3/2 becomes x = -√3/2.

Answer:

90° is correct answer. :)

Answer:

9 feet im pretty sure

Step-by-step explanation:

Answer:

yolo

Step-by-step explanation:

Answer:

nice job man

Step-by-step explanation:

keep it up man

Answer:

The volume of the cylinder is324 п cm

The area of the base of the cylinder is 81 п cm

Step-by-step explanation:

volume of a cylinder = nr^2h

n = 22/7

r = radius = 18/2 = 9

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

n x (9^2) x 4 = 324n

Area of the base of the cylinder : Area of a circle = πr² = π x 9^2 = 81 π

Answer:

Center= (-9,6) Radius=5

Step-by-step explanation:

correct answer:

( x + 9 ) ² + ( y - 6 ) ² = 25

center = ( -9, 6 )

radius = 5

equations:

we know from the given equation that the center would be (-9, 6) because we have to plug into the equation; ( x – h ) ² + ( y – k ) ² = radius²

how to find the center coordinates:

if youre confused on how we got the -9, by using the negative addition rules:

x - (-9) we can simplify that to ( x + 9 ) like shown above so that how we got -9. It's a little easier to find the 6 because its just x - 6 so we dont have to simplify anything its just 6.

how to find the radius:

the radius is a little more difficult to find, but, since we are given 25, we can just type the square root of 25 (√25) which would be 5!

thats it!! hope this helps<3

Answer:

4x = - 12 - 28

Step-by-step explanation:

When we transpose - 4x to the LHS then it becomes positive i.e +4x

Now we transpose 28 to the RHS then it becomes negative i.e - 28

So the first step you have to is,

4x = - 12 - 28

Answer:

see explanation

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x ) , then

A (2, - 2 ) → A' (2, 2 )

B (4, - 1 ) → B' (1, 4 )

C (4, - 3 ) → C' (3, 4 )

D (2, - 4 ) → D' (4, 2 )

Answer:

C (294)

Step-by-step explanation:

Took the test :)

Answer:

-(2y+3)×(3y+5)

Step-by-step explanation:

- 3y(2y + 3) - 5(2y + 3)

Factor out - (2y+3)

-(2y+3)×(3y+5)

Answer:

Step-by-step explanation:

33

43.0 square centimeters of paper are required to make each wristband.

What is area of curved surface?

The curved surface of a cylinder is equal to a rectangle whose length is

2[tex]\pi[/tex]r and whose width is h.

The area of the curved surface = [tex]\pi dh[/tex].

Given

Height of wrist band = 1.8 cm

Diameter of wrist band =7.5 cm

Wrist band is a cylinder

Area of curved surface

S = [tex]\pi dh[/tex]

= 3.14 × 7.5 × 1.8

= 42.9552 ≅ 43.0 [tex]cm^{2}[/tex]

Hence, 43.0 square centimeters of paper are required to make each wristband.

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Answer:

14 miles

Step-by-step explanation:

because this is just asking for distance and not displacement, we will just add up the raw numbers and call it a day.

Total distance = 8 + 6 = 14 miles

Answers:

a) x = 9b) arc JK = 68c) arc MJ = 112d) arc LMK = 248

================================

Explanation:

Arcs JK and KL form a semicircle, so they add to 180 degrees

(arcJK) + (arcKL) = 180

(5x+23) + (17x-41) = 180

22x-18 = 180

22x = 180+18

22x = 198

x = 198/22

x = 9

Then you'll use this x value to find arc JK and arc KL

arc JK = 5x+23 = 5*9+23 = 68

arc KL = 17x - 41 = 17*9-41 = 112

Since central angles MNJ and KNL are vertical angles, this means minor arcs MJ and KL are congruent arcs. So arc MJ is also 112 degrees

Arc LMK is basically nearly everything of the full circle, but we exclude out the portion from L to K (the shorter distance)

arc LMK = (full circle) - (measure of minor arc LK)

arc LMK = 360 - 112

arc LMK = 248

Answer:

confidence interval = ( -0.38 , 0.08 )

Step-by-step explanation:

Given data :

n1 = 55 , n2 = 60 ,

Let P1 ( proportion of SUV sales at store A ) = 30 / 55 = 0.55

P2 ( sample proportion of SUV sales at store B ) = 42/60 = 0.70

The Z-value at 99% confidence Interval = 2.58

Determine the 99% confidence interval for difference in proportion

applying the formula below

( P1 - P2 ) ± Z ( [tex]\sqrt{p1( 1-p1)/n1 + p2(1-p2)/n2}[/tex]

Input values above into equation

confidence interval = ( -0.38 , 0.08 )

Answer:

Inequality Notation: x≥-4

Step-by-step explanation:

An inequality is a mathematical statement that compares two expressions using the ideas of greater than or less than.

Solve 5x+2≥−18.

Subtract 2 from both sides.

5x+2−2≥−18−2

5x≥−20

Divide both sides by 5.

[tex]\frac{5x}{5}[/tex]

x≥-4

Answer:

1/6 x 1/5 = multiplication equation

Answer:

I believe that the answer is 40 degrees.

Step-by-step explanation:

A central angles' measurement is the same measure of the intercepted arc

Answer:

[tex]84^{\circ}[/tex]

Step-by-step explanation:

The measure of an inscribed angle is exactly half the measure of the arc it forms. Thus, we have the following equation:

[tex]2(7x-7)=9x+21[/tex]

Solving, we get:

[tex]2(7x-7)=9x+21,\\14x-14=9x+21,\\5x=35,\\x=7[/tex]

Plugging in [tex]x=7[/tex] into [tex]9x+21[/tex]:

[tex]\widehat{DG}=9(7)+21,\\\widehat{DG}=63+21,\\\widehat{DG}=\boxed{84^{\circ}}[/tex]

Answer:

-31

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

The statement given is false information.

What is insurance?

Insurance that pays out a sum of money either on the death of the insured person or after a set period.

Given is a statement about life insurance,

The main purpose of a life insurance, is to provide the financial help to the survivors family not to secure against an accident.

Hence, The given statement is false.

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Answer:

Hello! answer: 105.5

Hope that helps!

75 + 18 + 12.5 = 105.5

Answer:

x = 65

Step-by-step explanation:

All angles in the triangle equal 180

Set up your formula as

180 = x+75+40

180-75-40=x

65=x

Given:

The equation of the parabola is:

[tex]y=x^2+6x[/tex]

To find:

The y-intercept of the parabola.

Solution:

We have,

[tex]y=x^2+6x[/tex]

Putting [tex]x=0[/tex] in the given equation, we get

[tex]y=(0)^2+6(0)[/tex]

[tex]y=0+0[/tex]

[tex]y=0[/tex]

Therefore, the y-intercept of the parabola is 0. It means the y-intercept of the given parabola is at point (0,0).

Answer:

c

Step-by-step explanation:

im 99% sure this is the answer

If the interest for 3 months is $260, then the total interest for the year is 4 times $260 or $1040.

Let x = amount invested at one of the rates, say 6%. This leaves the rest of the $16,000 or (16000-x) to be invested at the other rate, at 8%.

The equation is basically that the interest earned for 1 year at 6% plus the interest earned for the year at 8% is equal to the total interest for the year, or $1040.

.06x + .08(16000-x) = 1040

.06x + .08(16000) - .08x = 1040

-.02x + 1280 = 1040

Subtract 1280 from each side:

-.02x = 1040 - 1280

-.02x = -240

To solve for x, divide both sides by -.02, remembering that a negative divided by a negative is a negative.

x = 240/.02

Either divide with a calculator, or multiply numerator and denominator by 100 to eliminate the decimal.

x = 24000/2 = $12000 at 6%

16000-x = 16000-12000 = $4000 at 8%

Answer:

The answer is C

Step-by-step explanation:

2x + 4y

2 x 3 = 6

4 x 6 = 24

24 + 6 = 30

Answer:

30

Step-by-step explanation:

2x+4y

Let x=3 and y=6

2*3 +4*6

Multiply

6+24

Add

30

Answer:

The change received by Judy is $ 2.69.

Step-by-step explanation:

Bill paid = $ 10

Cost of binder = $ 1.38

Cost of pack of pencils = $ 2.05

Cost of box of erasers = $ 3.88

Total cost of the school supplies = $ 1.38 + $ 2.05 + $ 3.88 = $ 7.31

The amount of change Judy received = $ 10 - $ 7.31 = $ 2.69