Ise the terms 4, 12a, 6, 2a, and 24 to make equivalent expressions

Answers

Answer 1

Answer:

12a + 24 = 6(2a + 4) is the equivalent expressions

Step-by-step explanation:

Given the terms ; 4, 12a, 6, 2a, and 24

There are two terms with unknown = 12a and 2a

but 12a = 2a x 6 .........(1)

from the last term = 24 = 6 x 4 ...........(2)

add both equation 1 and 2 = 12a + 24

12a + 24 = 6(2a + 4) is the equivalent expressions .

to VERIFY; Use a = 2

substitute into the expression ; LHS = RHS

= 12(2) + 24 = 24 + 24 = 48 (LHS)

FOR RHS = 6(2a+4) = 6(2x2 + 4)

= 6(4+4) = 48

Hence LHS = RHS


Related Questions

Round the following numbers and estimate the product.
72.87 . 37

Answers

The answer to this question is 252,000

how do you solve
-4/7 + 2/7x - 14x + 4/7

Answers

Answer:

-96/7x

Step-by-step explanation:

-4/7+2/7x-14x+4/7

-4/7+4/7+2/7x-14x

2/7x-14x

2/7x-98/7x

-96/7x

Answer:

-96/7

Step-by-step explanation:

Which graph is the result of reflecting f(x) = One-fourth(8)x across the y-axis and then across the x-axis? On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and incresaes into quadrant 1. It goes through the y-axis at (0, 0.25) and goes through (1, 2). On a coordinate plane, an exponential function approaches y = 0 in quadrant 1 and increases in quadrant 2. It crosses the y-axis at (0, 0.25) and goes through (negative 1, 2). On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and decreases into quadrant 4. It crosses the y-axis at (0, negative 0.25) and goes through (1, negative 2). On a coordinate plane, an exponential funtion increases in quadrant 3 into quadrant 4 and approaches y = 0. It goes through (negative 1, negative 2) and crosses the y-axis at (0, negative 0.25).

Answers

On a coordinate plane, an exponential function increases in quadrant 3 into quadrant 4 and approaches y tends to zero, which goes through (-1,-2) and crosses the y-axis at (0,-0.25).

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

Given that f(x) = 1/4[tex](8)^x[/tex]

The Reflecting f(x) across the y - axis,

[tex]g(x) = \frac{1}{4} 8^{-x}[/tex]

g(x) reflecting across the x-axis,

The given graph, where f(x) represented by red, g(x) represented by green and function h(x) represented by purple

We conclude that exponential function increases in quadrant 3 into quadrant 4 and approaches y tends to zero, which goes through (-1,-2) and crosses the y-axis at (0,-0.25).

Therefore; the answer is option D; On a coordinate plane, an exponential funtion increases in quadrant 3 into quadrant 4 and approaches y tends to zero, which goes through (-1,-2) and crosses the y-axis at (0,-0.25).

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Answer:

Your answer is D

Step-by-step explanation:

I'm being forced to redo a handful of my answers since they were deleted...

"On a coordinate plane, an exponential function increases in quadrant 3 into quadrant 4 and approaches y = 0. It goes through (negative 1, negative 2) and crosses the y-axis at (0, negative 0.25)."

Help please, due by midnight

Answers

Step-by-step explanation:

The second one is the first claim, because it is a traingles and one square.

The third one is the sond claim because they are a part of the rectangular so moving them outside of it would increase the area, I think, if that makes sense.

Gasoline is selling for $3.29 per gallon. It takes 28.25 gallons to fill up Bill's new pick-up truck. How much does he pay?​

Answers

Answer:

approximately (put the approximately sign) $92.94

Step-by-step explanation:

Just multiply 28.25 by $3.29. Tjen, round the answer to the nearest hundredth.

Martina runs 7 miles in 50 mins at the same rate how many miles will she run in 75 mins

Answers

Martina runs 10.5 miles in 75 minutes

Solution:

Given that,

Martina runs 7 miles in 50 minutes

Therefore, miles ran in 1 minute is:

[tex]Miles\ ran\ in\ 1\ minute = \frac{7}{50}\ miles[/tex]

At the same rate how many miles will she run in 75 mins

Thus, to find the miles ran in 75 minutes:

[tex]Miles\ ran\ in\ 75\ minute = \frac{7}{50}\ \times 75\\\\Miles\ ran\ in\ 75\ minute = 0.14 \times 75\\\\Miles\ ran\ in\ 75\ minute = 10.5[/tex]

Thus she runs 10.5 miles in 75 minutes

What is 83.9 rounded two decimal places

Answers

Answer:

~ 83.90

2 decimal place is basically the hundredths place
Rounding it 2 decimal places will end up with 83.90.

42 : 36 : 54 in simplest form

Answers

Step-by-step explanation:

42:36:54 divide this by 6

= 7 : 6 : 9 simplest form

HELP QUICK I NEED TO KNOW THIS Three pirates named Ahab, Sparrow, and Davy play a game. The pirates have a total of 210 coins, and each pirate has a different number of coins. At the end of the game, Ahab has won 5 coins and Davy has won 7 coins. Now, the ratio of coins belonging to Ahab, Sparrow, and Davy is 4:5:6, respectively. How many coins did Sparrow have at the beginning of the game?

Answers

The number of coins Sparrow has at the beginning of the game is 92 coins.

How many coins did Sparrow have at the beginning of the game?

Total number of coins = 210.

Ratio of coins belonging to Ahab, Sparrow and Davy = 4 : 5 : 6

Let

x = multiplying factor

The number of coins to Ahab = 4x

The number of coins to Sparrow = 5x

The number of coins to Davy = 6x

Since, total number of coins = 210

So

4x + 5x + 6x = 210

15x = 210

Divide both sides by 15

x = 16

Therefore,

The number of coins to Sparrow = 5x

= 5 × 16

= 80 coins

At the end Ahab and Davy wins 5 and 7 coins respectively

So at the beginning of the game, the number of coins Sparrow has = 80 + 7 + 5

= 92

find the volume of a pyramid 8 base length 5 base width 12 height

Answers

Answer:

The volume is 160 cubic units

Step-by-step explanation:

1. Information given to us to answer the question correctly:

8 = base length

5 = base width

12 = height

2. Let's recall the formula of the volume of a pyramid with rectangular base:

Volume = (Length * Width * Height)/3

Volume = (8 * 5 * 12)/3

Volume = 480/3 ?

Volume = 160 cubic units

What is the correct answer???

Answers

Option D: [tex]\frac{2}{5}[/tex] is the x-coordinate

Explanation:

It is given that the coordinates of the line segment are A(3,2) and B(6,11).

Since, the line is partitioned by the point C by the ratio AC : BC = 2 : 3

The distance between the x-coordinates is 3 units.

To determine the value of the x-coordinate for point C, let us divide the value of x-coordinate from the ratio divided by the sum of ratio.

The value of x-coordinate from the ratio is 2.

Sum of the ratio is 2 +3 = 5

Thus,

The x - coordinate = value of x-coordinate from the ratio / Sum of ratio = 2/5

Substituting the values, we have,

The x - coordinate of the Point C = [tex]\frac{2}{5}[/tex]

Thus, Option D is the correct answer.

PLEASE HELP ILL GIVE BRAINLIEST

Answers

The answers are option C) segment and option D) ray

Step-by-step explanation:

Line :

A line has arrow mark in the two ends. So, the diagram is not a line.

Point :

A point represents particular spot as a small dot. So, the diagram is not a point.

Segment :

It is a piece of line that has two end points. This part of line is called line segment and it is shown in the picture. option C is correct.

Ray :

A ray is a line with one endpoint and the other end extends with an arrow mark. So, the option D is also correct.

what is the equation of the following line written in slope intercept form?
a. y= -11x-7
b. y= -7x+11
c. y= -7x-11

Answers

Answer:

C

Step-by-step explanation:

slope is change in y over the change in x

points on graph are (-1, -4) and (-2, 3)

-4-3/-1+2 = -7/1 = -7

y = -7x + b

put one of the points in for x and y to solve for b

3 = -7 x -2 + b

3 = 14 + b

subtract 14 from both sides.

b = -11

Answer:

c

Step-by-step explanation:

please solve
3(y+2)=14
I can't find the answer ​

Answers

Answer:

y = 8/3

Step-by-step explanation:

3(y + 2) = 14

3y + 6 = 14

3y = 14 - 6

3y = 8

y = 8/3

Answer:

Step-by-step explanation:

3(y + 2) = 14

3y + 6 = 14

3y = 14 - 6

3y = 8

y = 8/3 or 2 2/3

A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer.

Answers

Answer:

12 m squared

Step-by-step explanation:

area of triangle is 1/2 base x height

base x height is 28 so 1/2 is 14

the area of the rectangle is base x height

1 x 2 = 2

14-2 = 12

Please help! Will give Brainliest!
What is the area of this trapezoid? 175 in² 140 in² 129 in² 85 in² Trapezoid A B C D with parallel sides D C and A B. Point F and E are on side D C. Point F is connected to point A by a dotted segment. Point E is connected to point B by a dotted segment. A B E F is a rectangle. D F is 4 inches. E C is 6 inches. E B is 7 inches. A B is 15 inches.

Answers

Answer:

198

Step-by-step explanation:

Answer:

The answer is 140! brainilest please!

Step-by-step explanation:

I have a question! Well duhh thats why you see this
A baseball is moving at a speed of 2.2m/s when it strikes the catchers glove. The paddding of the glove is compressed by 24mm before the ball comes to a stop. We want to find the average acceleration of the baseball while its compressing the glove
jp i dont need help ppl keep wanting to see what i look like so sorry!

Answers

your actually stunning

solve for x and y


−8y+9x=−5
8y+7x=−75

Answers

Answer:

-8y + 9x = -5

8y + 7x = -75

16x = -80

x = -5

8y + 7(-5)= -75

8y - 35 = -75

8y = -40

y = -5

(-5,-5)

the function v (r)can be used to find the volume of air inside a basketball given it radius what does v(r) represnet

Answers

The notation V(r) actually gives the volume of air inside the basketball.  V(r) is volume as a function of radius, r  It can be written as:  V(r) = 4/3πr³  So, for any value of r, we can get the volume V.  For, example, when r = 7cm  we can say;  V(7) = 4/3 x 22/7 x 7³ = 1437.33 cm³

At the flea market path and four buckets of Legos with each bucket containing 1,398 Lego pieces. if you wanted to with the Lego pieces into three piles ,how many pieces should he put into each pound?

Answers

Answer:

1,864

Step-by-step explanation:4 X 1398 would be 5592 then you divide it by 3 and get 1,864

5 and 3 fourths times 2 and 2 eleventh’s

Answers

The answer is 12.5 if you are using the answer in decimal form

Answer:

138/11

Step-by-step explanation:

5 3/4 * 2 2/11

23/4 * 24/11

(552/44)/4

138/11

3x + 2y = 6 is an equation in standard form

Answers

Answer:

The value of y when x is 0 is 3

The value of x when y is 0 is 2

Step-by-step explanation:

3x + 2y = 6

3(0) +2y=6—> replace x with 0

2y=6—> divide both sides by 2

y=6

And do the same for y!

Final answer:

The equation 3x + 2y = 6 is a linear equation in standard form. Also, the equation y = 9 + 3x is an equivalent linear equation in slope-intercept form where b is 9 (y-intercept) and m is 3 (slope). A table of (x, y) values derived from this equation would plot as a straight line on a graph.

Explanation:

The equation you're looking at, 3x + 2y = 6, is indeed a linear equation in standard form. As a refresher, a standard form equation is written as Ax + By = C, where A, B, and C are constants, and x and y represent variables.

Let's consider another similar example, y = 9 + 3x. In this equation, which is in slope-intercept form, the b term has been set equal to 9 and the m term has been set equal to 3. We can fill out table A1 with different values for x and calculate the corresponding values of y. When plotted on a graph, these points will form a straight line, as dictated by the nature of linear equations.

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What is the y-intercept of this line? Y=3x+2

A.3
B.2

Answers

Answer:

B: 2

Step-by-step explanation:

2 is the y-intercept of the given line.

2 as y=mx+c is the formula for basic straight lines and c represents the y-intercept

What is the missing number from 81,-,9,-,1

Answers

Answer:

-27 and -3

Step-by-step explanation:

81, -27, 9, -3, 1

The missing numbers in the sequence are -27 and -3. The sequence is 81, -27, 9, -3, 1

What is Sequence?

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The given sequence is 81,-,9,-,1

we have to find the missing number.

As we observe when 81 is divided by -3 we get -27.

Now when -27 divided by -3 we get 9

When 9 is divided by -3

we get -3

When -3 is divided by -3

the value will be 1.

81, -27, 9, -3, 1

Hence, the missing numbers in the sequence are -27 and -3. The sequence is 81, -27, 9, -3, 1

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find the unknown resistance in the figure shown, to the nearest hundredth of an ohm, if the total (equivalent) resistance is 0.28


Please help asap!

Answers

The unknown resistance is approximately 0.44 Ω.

Solution:

Total (equivalent) resistance = 0.28 Ω

Resistance 1 = ?

Resistance 2 = 0.81 Ω

To find the unknown resistance.

Formula for determining equivalent resistance in a parallel circuit:

[tex]$\frac{1}{R_{e q}}=\frac{1}{R_{1}}+\frac{1}{R_{2}}[/tex]

Substitute the given values in the formula.

[tex]$\frac{1}{0.28}=\frac{1}{R_{1}}+\frac{1}{0.81}[/tex]

[tex]$3.571=\frac{1}{R_{1}}+1.235[/tex]

Subtract 1.235 on both sides of the equation, we get

[tex]$2.282=\frac{1}{R_{1}}[/tex]

Take reciprocal to find [tex]R_1[/tex].

[tex]$R_{1}=\frac{1}{2.282}[/tex]

[tex]$R_{1}=0.44[/tex]

[tex]R_1[/tex] = 0.44 Ω

The unknown resistance is approximately 0.44 Ω.


There are 3 caterpillars on each plant, and there are 2 caterpillars on the ground. The table shows how the number of caterpillars, c, depends on the number of plants, p. Choose the equation which represents the rule.

Answers

Question

P c

4 14

5 17

6 20

7 23

There are 3 caterpillars on each plant, and there are 2 caterpillars on the ground. The table shows how the number of caterpillars, c, depends on the number of plants, p. Choose the equation which represents the rule.

A) c = 3p + 3

B) c = 2 − 3p

C) c = 3p − 2

D) c = 3p + 2

Answer:

c = 3p + 2 is the equation that shows relation between number of caterpillars and plants

Solution:

Given that,

There are 3 caterpillars on each plant

And there are 2 caterpillars on the ground

Let the number of plants be "p"

Let the number of caterpillars be "c"

The equation that shows relation between number of caterpillars and plants is:

If there are 3 caterpillars on each plant, then for "p" plants, there will be "3p" caterpillars

Number of caterpillars = 3p + 2 caterpillars on the ground

Therefore,

Number of caterpillars = 3p + 2

c = 3p + 2

Thus the equation is found

A student has $10. She will save $5 each week. The student wrote the expression show to represent the amount
of money she will have after w weeks.
5W + 10
Which of the following expressions is equivalent to the student's expression for any value of wo?
A 15w
B 50w
5(w +2)
D5(w +10)

Answers

Answer:

D. or 5(w+10)

Hope this helps :)

Consider the dilation of square KLMN by a scale factor of 1/4, with a center of dilation at the origin. Assume the units are centimeters.


1. What is the perimeter of the square after the dilation? Explain the change in the perimeter.

2. What is the area of the square after the dilation? Explain the change in the area.

Answers

1. The given squares perimeter after dilation is 16 cm. Perimeter is reduced by 48 cm due to dilation.

2. The squares area is 16 square centimeters after dilation. The area reduces by 240 square cm due to dilation

Step-by-step explanation:

Step 1; First, we determine the coordinates of the points given in the graph. By plotting we determine that the points are; K (-8, -8), L(8,-8), M(8, 8) and N(-8, 8).

Step 2; We calculate the new coordinates of the square KLMN by multiplying the scale factor with each of the coordinate's x and y values.

8 × [tex]\frac{1}{4}[/tex] = 2, -8  [tex]\frac{1}{4}[/tex] = -2 are the different values in the four coordinates.

So by multiplying the scale factor we get the dilated square's points as

K (-2, -2), L(2,-2), M(2, 2) and N(-2, 2).

Step 3; The perimeter of a square is given by 4 times its side length. As the units are in centimeters, we determine the side length is 4 cm whereas it is 16 cm for the undilated square.

Perimeter of original square = 4 × 16 cm = 64 cm

Perimeter of the dilated square = 4 × 4 cm = 16 cm.

Change in perimeter = Perimeter of original square - Perimeter of the dilated square = 64 cm - 16 cm = 48 cm.

Step 4; The area of any given square is the side length of the square squared. The side length of the original square is 16 cm whereas the side length of the dilated square is 4 cm.

Area of original square = 16 × 16 cm = 256 square cm

Area of the dilated square = 4 × 4 cm = 16 square cm.

Change in area = area of original square - area of the dilated square = 256 cm - 16 cm = 240 square cm.

If I did 57 jumping jacks in 1 minute how long would it take to do 100 jumping jacks

Answers

Answer:

2 minuets

Step-by-step explanation:

Set up a ratio:

57 jumping jacks / 1 minute = 100 jumping jacks / x minutes

Cross multiply:

57x = 100

Divide both sides by 57:

X = 100/57

X = 1.754 minutes = 1 minute 45 seconds

Find the value of the expression below. Express your answer in scientific notation.

Answers

The value of the expression is [tex]8.8 \times 10^{-2}[/tex].

Solution:

Given expression:

[tex]$\frac{\left(4.8 \times 10^{8}\right)}{\left(1.2 \times 10^{4}\right)} \times\left(2.2 \times 10^{-6}\right)[/tex]

To find the value of the given expression:

Using exponent rule: [tex]a^m\times a^n=a^{m+n}[/tex]

[tex]$\Rightarrow\frac{\left(4.8 \times 10^{8-6}\right)}{\left(1.2 \times 10^{4}\right)} \times\left(2.2 \right)[/tex]

[tex]$\Rightarrow\frac{\left(4.8 \times 10^{2}\right)}{\left(1.2 \times 10^{4}\right)} \times\left(2.2 \right)[/tex]

Using exponent rule: [tex]\frac{a^m}{a^n} =a^{m-n}[/tex]

[tex]$\Rightarrow\frac{\left(4.8 \times 10^{2-4}\right)}{1.2} \times 2.2[/tex]

[tex]$\Rightarrow\frac{\left(4.8 \times 10^{-2}\right)}{1.2} \times 2.2[/tex]

Since [tex]\frac{4.8}{1.2}=4[/tex]

[tex]$\Rightarrow(4 \times 10^{-2})\times 2.2[/tex]

[tex]$\Rightarrow 8.8 \times 10^{-2}[/tex]

Hence the value of the expression is [tex]8.8 \times 10^{-2}[/tex].

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