Which equation correctly demonstrates the distributive property?

A. 7(6c - 4d) = 14cd
B. 30(3a + 2b) = 90a + 60b
C. 16(3j - 4k) = 48j - 4k
D. 4(2f + 5g) = 28fg

Answers

Answer 1

Answer:

B.

Step-by-step explanation:

b is the correct answer


Related Questions

Has anyone took the parametric functions test part 1 for pre calculus ???? if so do you remember the answers??? offering lots of points

Answers

Answer:

No I dont, and this is only 5 pts

Step-by-step explanation:

find the length of the arc.Round your answer to the nearest tenth

Answers

Find the circumference:

Circumference = 2 x pi x radius

Circumference = 2 x 3.14 x 9 = 56.52 inches


the arc length is 45 degrees/360 degrees of the circumference.


Marc length = 56.52 x 45/360 = 7.065 inches

Rounded to the nearest tenth = 7.1 inches

The probability that mary picks a yellow marble out of a bag of marbles is 0.35. there are 500 marbles in the bag. work out how many yellow marbles there are.

Answers

Answer:

175

Step-by-step explanation:

500*.35

Find an explicit function rule for the following sequence defined over the natural numbers: –7, –1, 9, 23, . . .
A. an=9n²+2
B. an=2n²+9
C. an=9n²-2
D. an=2n²-9

Answers

Answer: Choice D

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

Reason:

Replace n with 1 in choice A to get

[tex]a_n = 9n^2 + 2\\\\a_1 = 9(1)^2 + 2\\\\a_1 = 11\\\\[/tex]

Choice A says the first term is 11, but this contradicts the fact that the first term should be -7 instead. Therefore, we cross choice A off the list.

You should find that choice B is the exact same story, so it must be eliminated as well.

Choice C has n = 1 get us [tex]a_1 = 7[/tex] which is close, but we want the result to be negative 7 instead of positive. Choice C is eliminated as well.

The only thing left is choice D. Sure enough, plugging in n = 1 does lead to the first term of -7. If you tried n = 2, then it would get you -1 as the second term, and so on. This confirms choice D is the correct answer.

Which statement is true about the solutions for the equation 4y + 6 = −2? (5 points) Hint: If you are solving for ONE variable, how many solutions will you have? a It has infinitely many solutions. b It has two solutions. c It has one solution. d It has no solution.

Answers

Answer: C) It has one solution

Step-by-Step Proof:

4y + 6 = -2
4y = -2 - 6
4y = -8
y = -8/4
=> y = -2

Therefore, y = -2

Answer:  C) has one solution

That solution is y = -2

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

Work Shown:

4y + 6 = -2

4y = -2-6

4y = -8

y = -8/4

y = -2

I first subtracted 6 from both sides (step 2), then I divided both sides by 4 (in step 4) to fully isolate y. We get one solution here.

Check:

4y + 6 = -2

4(-2) + 6 = -2

-8+6 = -2

-2 = -2

The solution is confirmed.

x2 + 5x + 6
x2 + 8x + 12
y2-7y + 12
y? - 11y + 28
x2 - 3x - 40

Answers

here I hope this helps you. Always have 2 bracket when factoring trinomials and know you prime factors

Multiply and show the steps on how to solve this

(2-3x) (3+8x)

Answers

Answer:

-24x² + 7x + 6

Step-by-step explanation:

(2 - 3x)(3 + 8x)6 - 9x + 16x - 24x²-24x² + 7x + 6

Answer:

-24x²+7x+6

Step-by-step explanation:

Rearrange terms

Rearrange terms

(2-3x)(3+8x)

(-3x+2)(3+ 8x)

(-3x+2)(3+ 8x)

(-3x + 2)(8x + 3)

3

Distribute

(-3x+2)(8x + 3)

-3x(8x + 3) + 2(8x + 3)

4

Distribute

-3x(8x + 3) + 2(8x + 3)

-24x2-9x + 2(8x + 3)

Distribute

-24x² - 9x + 2(8x + 3)

-24x² - 9x + 16x + 6

6

Combine like terms

-24x²-9x + 16x + 6

-24x²+7x+6

Solution

-24x²+7x+6

The diameter of the center circle on a soccer field is 20 yards. What is the area of the circle?

Answers

Answer: pie × r² = 314

Step-by-step explanation:

3.14 ×10 × 10 where r is diameter/2

Does anybody know this?Find the area of the shaded region if PA=7 inches and PB=4 inches

Answers

Hi Student!

The first step that we must take before attempting to solve the problem is to gather important information.  Looking at the problem we are given two lengths, PA and PB.  These two lengths make up the radius of two different circles which we will need to find the area for both of them.  The other important information that we must take in is that we are trying to determine the area of the shaded region.

Now that we have our important information concluded, let's move onto solving the problem.  We know that we are trying to determine the area of the shaded region which means that we will need to do some subtraction between the total area of the larger circle and the total area of the smaller circle.

Area of a Circle Formula

[tex]A=\pi*r^2[/tex]

Plug in the information

[tex]Shaded\ Region = Larger\ Circle - Smaller\ Circle[/tex][tex]Shaded\ Region = (\pi *PA^2)-(\pi*PB^2)[/tex][tex]Shaded\ Region = (\pi *(7\ in)^2)-(\pi*(4\ in)^2)[/tex]

Simplify the exponents

[tex]Shaded\ Region = (\pi *49\ in^2)-(\pi*16\ in^2)[/tex]

Subtract

[tex]Shaded\ Region = 49\ in^2*\pi-16\ in^2*\pi[/tex][tex]Shaded\ Region = 33\ in^2*\pi[/tex]

Therefore, our final answer would be that the shaded region is 33 inches squared times pi which is best described in Option D.  We got this after subtracting the area of the smaller circle from the area of the larger circle which provides us with the area of the shaded region.

A wheel has a radius of 4 inches and travels as it spins. How far does the wheel travel
in one revolution? Round your answer to the nearest inch.
Use the pi (T) on the calculator.
Use formula for circumference to figure out the answer: C = 277 (or) C = ad

Answers

The distance a tire travels is equal it it’s circumference.


circumference = pi x radius x 2

Circumference = 25.13 inches


Rounded to nearest inch = 25 inches

Find the nth term of the following sequence;

-5, -2, 3, 10, 19

Answers

Answer:

n= -5+ 7(n-1)

Step-by-step explanation:

The garden shown at right is divided into two section by a fence. If the quadrilateral section is a square, what is the square area? (6ft : 8ft)

Answers

The area of the triangle is 24 ft² while the area of the square is 64 ft²

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Area of triangle = (1/2) * base * height = 0.5 * 8 * 6 = 24 ft²

Area of square = 8 ft * 8 ft = 64 ft²

The area of the triangle is 24 ft² while the area of the square is 64 ft²

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Which of the following is equivalent to x + 1/y ÷ g + 1/h

x + 1 / y ÷ h / g + 1
x + 1 / y · h / g + 1
y / x+1 ÷ g + 1 / h
x/y · h/g

Answers

Answer:

say what now?

Step-by-step explanation:

Using the image above, what is the measure of side GF?

Answers

GF is 1.7 units.

tan(60) = 3/x

3 / tan(60)

= 1.73


please mark as brainliest :)

The measure of side GF is solved to be

1.73

How to find the measure of side GF

Too side GF we use trigonometry tan, in the formula

tan x = opposite / adjacent

Where x is the given angle and opposite and adjacent are the legs of the right triangle

In this case, opposite = EF = 3, and adjacent = GF, x = 60 degrees

tan 60 = 3 / GF

Isolating GF results to

GF = 3 / tan 60

GF = 1.73205080757

GF = 1.73

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Divide. 58)48,894

please help​

Answers

Hi~!

Answer:

843

Step-by-step explanation:

We know that 58 is a even number, and so is 48,894. So we can  check this by multiplying 843, which is th number I got when I divided it, and multiply that by 58, then we get 48,894.

I hope this helps!~ :)

Answer:

843

Step-by-step explanation:

In long division, first take the first digit of the dividend from the left. Check if this digit is greater than or equal to the divisor, then divide it by the divisor and write the answer on top as the quotient. After, subtract the result from the digit and write the difference below. Bring down the next digit of the dividend (if present). Lastly, repeat the same process.

    00,843
58)48,894
   - 464 ↓↓
----------------
        249 ↓
      - 232 ↓
----------------

           174
         - 174
-----------------
              0

From this, we can see that 58 goes into 48,894 843 times. In other words, 48,894 ÷ 58 is 843.

hope this helps!

A.point 1
B.point 2
C.point 3
D.point 4
E.point 5

Answers

Answer: Point 2, because Point B will have shrunk slightly if dilated by a factor that is a fraction.

Plsss help.


How do poets use rhythm to support the meanings in their poems?

they put lots of harsh-sounding words in their poems
they repeat sounds at the end of each line
they put words together in a way that sounds like what the poem means
they make up a musical score for playing an instrument while reading the poem

Answers

Answer:

they put words together in a way that sounds like what the poem means.

2. What are the x-intercepts of the graph of the function defined by (x - 2)(2x + 1)? A. (2,0) and (-1,0) B. (2,0) and (1,0) C. (-2,0) and (1,0) D. (-2,0) and (-1,0)​

Answers

The x-intercepts of the graph of the function defined by (x - 2)(2x + 1) will be at (2,0) and (0.5,0).

what is a quadratic equation?

The polynomial having a degree of two or the maximum power of the variable in a polynomial will be 2 is defined as the quadratic equation and it will cut two intercepts on the graph at x-axis.

Here we are having an equation:-

(x-2)(2x+1)=0

2x²+x-4x-2=0

2x²-3x-2=0

2x²-4x+x-2=0

2x(-1)(x-2)=0

x=2    x=0.5

Hence the x-intercepts of the graph of the function defined by (x - 2)(2x + 1) will be at (2,0) and (0.5,0).

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I'm taking a test and don't know how to solve this problem :')

Answers

The triangle PSQ is an isosceles triangle, and the area of the triangle PSQ is 1360.62 square units

How to determine the area?

The given parameters are:

PS = SQ

Perimeter,  P = 50

SQ - PQ = 1

The perimeter is calculated using:

PS + SQ + PQ = 50

This gives

2SQ + PQ = 50

Make SQ the subject in SQ - PQ = 1

SQ = 1 + PQ

So, the equation 2SQ + PQ = 50 becomes

2(1 + PQ) + PQ = 50

Expand

2 + 2PQ + PQ = 50

Evaluate like terms

3PQ = 48

Divide by 3

PQ = 16

Substitute PQ = 16 in SQ - PQ = 1

SQ - 16 = 1

So:

SQ = 17

The area is then calculated using:

A = √[P * (P - PS) * (P - SQ) * (P - PQ)]

This gives

A = √[50 * (50 - 17) * (50 - 17) * (50 - 16)]

Evaluate

A = 1360.62

Hence, the area of the triangle PSQ is 1360.62 square units

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giving brainliest!!!!

Answers

A is the answer

all equalateral triangles' angles = 60

70 - 10 = 60     Y
55 + 5 = 60     X

Answer:

y = 70 degrees

x = 55 degrees

Step-by-step explanation:

y-10 = 60

x+5 = 60

y = 70

x = 55

A angles equal 60 degrees if equalateral!

What is square root of pi^2 = ?

Answers

Answer:

Pi

Step-by-step explanation:

The square root and exponent cancel each other out.

3) Emily bought some wrapping paper for Christmas that was 2 feet long and 8 feet wide. What is the area of the wrapping paper she bought? ​

Answers

Answer:

16 ft

Step-by-step explanation:

lengh x width = A

2 x 8 = A

16 = A

Billy’s medical bills have been sent to a collection agency. He’s been stressed out for the past few days because agents have been calling him in the early hours of the morning and warning him they’ll have to report him because he has committed a crime. What do you tell Billy? Do you have any advice on what he can do?

Answers

Answer:

First of all, I could inform Billy that collection agencies cannot falsely claim that he had committed a crime or say that he will be arrested if he does not repay the money he owes. Failing to repay a medical bill in a timely manner would not land him in prison.

The law also states that debt collectors are not allowed to harass debtors. They are not permitted to call in the early hours of the morning and call repeatedly. Billy can actually order collectors to stop contacting him.

Next, as his account/medical debt had already been sold to collections, he should contact the collection agency to work out payment arrangements. If he is unable to pay the debt in full, some collection agencies may offer a settlement amount. Once he has paid off the account, the collection agency will notify the credit reporting companies it reports to that the account should be updated to note it has been paid in full. He should check to see how his account is appearing by ordering a copy of his report from each of the three credit reporting agencies.

After all these, Billy should then work on rebuilding his credit score.

Step-by-step explanation:

Which of these functions has the same graph but shifted to the left?

Answers

Step-by-step explanation:

the second and the 6th options keep the same graph but shift it to the left.

the other options :

the first option changes the graph (the factor -2 stretched and flips the graph).

the third and the 5th options shift the graph up and down. but not to the left.

the 4th option shifts it to the right.

when you add a constant inside the x terms, you shift to the left.

when you subtract a constant inside the x terms, you shift to the right.

e.g. when having f(x+2), then everything, that should happen at x+2 happens already at x. 2 units earlier, and therefore a shift to the left.

in the other direction, f(x-2) makes everything that should have happened at x-2 happen finally at x. so, everything shifts 2 units to the right.

Fin the area of the polygons

Answers

Answer:45

Step-by-step explanation:

First, you need to calculate the area of the square.

(LxW)= 25.

Then, calculate the area of the triangle

(1/2BH)=5x(8/2)=5x4=20

Now, just add 20+25= 45

Please mark me brainliest :)

How many minutes did Todd use in October

Answers

Answer:

100 minutes cost Todd $24. He had extra bill of 26.38 - 24 = $2.38

$2.38 = 238 cents

7 cents billed for 1 extra minute

1 cents billed for 1/7 extra minute

238 cents billed for 238/7 = 34 extra minutes

total minutes = 134 minutes

Select all the expressions that are equivalent to 6x + 1 - (3x - 1)

Answers

Where are the answer choices?

Write the coordinate pair (x,y) for each of the following

Answers

A. (3,5) B. (-4,-3) C. (-4,4) D. (5,-3) E. (6,7) F. (-8,-8) G. (-2,7) H. (-2,-4) I. (3,-9) J. (1,0)

y=7x
y= 9x²

At how many points in the xy-plane do the graphs of the given equations intersect?​

Answers

Answer:

  2

Step-by-step explanation:

A line and a parabola will intersect at one point if and only if that point is a point of tangency.

__

Here, we know there is one point of intersection at x=0, but the line has a slope of 7, not 0. It is not a tangent to the parabola, so there must bet two points of intersection.

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

C

Step-by-step explanation:

Since the denominators are the same, you just need to add 3 + 1. This gives you 4, combining with the denominator, will give you 4/4, which equals 1.  

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