Evaluate. 6^2+(3x4)-2^4

To simplify the given expression, distribute the fractions and combine like terms. The final simplified expression is 1/x + 24.

To simplify the given expression 1/2 (3/5x - 8) + 7/4 (2/5x + 4), we need to distribute the fractions across the terms. First, distribute 1/2 across 3/5x and -8, then distribute 7/4 across 2/5x and 4. This results in (3/10x - 4) + (14/20x + 28). Now, combine like terms by adding the coefficients of x. Thus, the simplified expression is (3/10x + 14/20x) + (-4 + 28).

To add the fractions (3/10x + 14/20x), we need to find a common denominator. The least common multiple of 10 and 20 is 20. Multiply the numerator and denominator of the first fraction by 2 and the numerator and denominator of the second fraction by 1 to obtain (6/20x + 14/20x). Now, add the fractions together to get (20/20x), which simplifies to 1/x.

Combine the constants (-4 + 28) to get 24. Therefore, the simplified expression is 1/x + 24.

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Answer:

5 books

Step-by-step explanation:

Given that Toni carries upto 18 lbs in her backpack.

The maximum weight Toni can carry is 18 lbs.

Of these 18 lbs, already lunch of 1 lb and gym clothes of 2 lbs are included.

hence available for books is only the remaining 15 lbs.

Total weight in backpack= 18 lbs(Maximum)

Weight of lunch = 1 lb

Weight of her gym clothes = 2 lb

Hence maximum weight available for books = 18-(1+2) = 15 lbs

Weight of one book = 3 lbs.

No of books she can carry = 15/3 = 5 books

Answer: Each multiple choice question is worth 5 points.

Step-by-step explanation: You can find this answer by using the equation "14m + 24 = 16m + 14" and then solving for "m". To find what "m" is, you must first subtract 14m from both sides, leaving "24 = 2m + 14". Next, you subtract 14 from both sides, leaving "10 = 2m". Finally, you divide both sides by 2, which will give you "m = 5". Thus meaning each multiple choice question is worth 5 points.

To check this, simply fill in for "m" and solve each side. 14 * 5 + 24 = 94 and 16 * 5 + 14 = 94. 94 = 94, so "m = 5" is correct.

I hope this helps!

You can multiply by the reciprocal. Leave the first fraction in the equation alone.

Turn the division sign into a multiplication sign.

Flip the second fraction over (find its reciprocal).

Multiply the numerators (top numbers) of the two fractions together. ...

Multiply the denominators (bottom numbers) of the two fractions together.

Hello There!

To divide fractions, all you have to do is leave the first fraction alone in the equation but multiply by the reciprocal in the second fraction. This means "Flipped Number" so you flip the numerator and denominator in the second fraction and multiply across then simplify if you need to.

(3x+7)(2x-6)= 6x squared -4x-42

6x^2-4x-42

The product of the expressions (3x + 7) and (2x - 6) will be 6x² - 4x - 42.

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed.

The expressions are given below.

(3x + 7) and (2x - 6)

Then the product of the expressions (3x + 7) and (2x - 6) will be

(3x + 7) (2x - 6) = 6x² + 14x - 18x - 42

(3x + 7) (2x - 6) = 6x² - 4x - 42

More about the polynomial link is given below.

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Answer:

U = 40/3 or 13.3 as a decimal.

Hope this helps :-)

Answer:

No

Step-by-step explanation:

Put both in your calculator. Do it in this order.

17

÷

31

=

0.5484

=========

Now do the next one

18

÷

14

=

1.357

19/14 > 17/31

2x+16=3x-12

16+12=3x-2x

28=x

now,since this is a fig of 2 parallel line with a bisector then line EF =180 degrees.

therefore,3x+12+y=180

3(28)+12+y=180   [we already found the value of x]

96+y=180

y=180-96

y=84.

m = (y2 -y1)/ (x2-x1)

m = (3-(-7))

       --------

       5-5

 The slope is undefined since the denominator is zero

Some number y has 7 subtracted off to get 15. We have y-7 = 15. To isolate y, we have to undo the "subtract 7" operation that happens to y. We have to add 7 to both sides.

y-7 = 15

y-7+7 = 15+7

y = 22 is the answer

Hello!

Solve for y.

[tex]15 = y - 7[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓↓↓↓↓↓

First you had to switch sides.

[tex]y-7=15[/tex]

Then you add by 7 from both sides of the equation.

[tex]y-7+7=15+7[/tex]

Simplify it should be the correct answer.

[tex]y=22[/tex]

Answer⇒⇒⇒⇒⇒y=22

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

x-4y=8

Hope this helps!

Hello!

[tex]-1-4s=8[/tex]

[tex]-1-4s+1=8+1[/tex]

[tex]-4s=9[/tex]

[tex]\frac{-4s}{-4}=\frac{9}{-4}[/tex]

[tex]s=-\frac{9}{4}[/tex]

Explanation: This question is super easy for me. First you had to do add 1 from both sides. It gave us -1-4s+1=8+1, then simplify, and it gave us -4s=9. You can also divide by -4 from both sides. It gave us -4s/-4=9/-4, and simplify. And the answer it gave us is s=-9/4 is the right answer. Hope this helps! And thank you for posting your question at here on Brainly. And have a great day. -Charlie

Answer:

No, this particular triangle is not a right triangle.  See my reasoning, below:

Step-by-step explanation:

We must determine whether the Pythagorean Theorem is satisfied here.  Does the sum of the squares of the shorter two sides equal the square of the longest side?  Symbolically, does 16^2 + 63^ = 68^2?  Does 256 + 3969 = 4624?  No.

First you use the formula (-b/2a) to find the axis of symmetry(or the x value) and then you plug that into the equation to find the y value.

a = 2

b= -16

16/2(2)=16/4=4

(4, x )  so we have the x-value and now we plug 4 into the original equation

y=2(4)^2-16(4)+8

y=2(16)-64+8

y=32-64+8

y=-24

So the vertex is at (4,-24)

The answer us A.

Line AC needs to be congruent to DF because for SAS (side angle side) we have a side (BA and DE) and an angle (A and D) so we need another side.

Answer:

A. [tex]\overline{AC}\cong \overline{DF}[/tex].

Step-by-step explanation:

We have been given image of two triangles ABC and DEF. We are asked to find the information that will show that both triangles are congruent by SAS.

We know that two triangles are congruent by Side-Angle-Side congruence, if two sides and included angle of a triangle is equal to two sides and included angle of the other triangle.

We can see that angle A is included angle of side AB and AC, while angle D is included angle of side DE and DF.

We have been given that angle A is congruent to angle D and side AB is congruent to side DE.

To be both triangles congruent by SAS congruence, side AC must be congruent to side DF, therefore, option A is the correct choice.

2=320

320/2=  160

Key:

*1=160

3*160=480

4*160=640

12*160= 1920

Working together for the same time, 3 combine harvesters can harvest 480 acres, 4 combine harvesters can harvest 640 acres, and 12 combine harvesters can harvest 1920 acres.

If two combine harvesters can harvest 320 acres in a certain amount of time, we need to find out how many acres can be harvested by 3, 4, and 12 combine harvesters working together for the same amount of time.

1. **Three combine harvesters**:

  Since 2 combine harvesters can harvest 320 acres, the harvesting capacity per harvester is:

  - 320 acres / 2 harvesters = 160 acres per harvester in the given time.

  Therefore, 3 combine harvesters can harvest:

  - 3 harvesters * 160 acres per harvester = 480 acres.

2. **Four combine harvesters**:

  Similarly, 4 combine harvesters can harvest:

  - 4 harvesters * 160 acres per harvester = 640 acres.

3. **Twelve combine harvesters**:

  Similarly, 12 combine harvesters can harvest:

  - 12 harvesters * 160 acres per harvester = 1920 acres.

In summary, working together for the same time, 3 combine harvesters can harvest 480 acres, 4 combine harvesters can harvest 640 acres, and 12 combine harvesters can harvest 1920 acres.

The answer would be x+3

Answer:

64mph

56mph

higher

64mph

56mph

higher

It's too short. Write at least 20 characters to explain it well.

Answer:

4,2, and one-half in the answer!!!! :)

Step-by-step explanation:

Having used the interactive ruler, the distance from the center of the dilation to the image and pre-image is 4 Units.

Also known as an Interactive Teaching Program (ITP) ruler, this virtual tool (which displays on the computer screen) is used to measure the lines and sides of a shape.

Having used the interactive ruler, the distance from point C to point A is units is 2 units.

Also, The distance from point C to point A' is 1.5 Units.

Learn more about Interactive Ruler at:

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Answer:

The correct option is:  A

Step-by-step explanation:

The given equation is:  [tex]y= 2x-3[/tex]

If [tex]x=0[/tex], then [tex]y=2(0)-3 = 0-3=-3[/tex]

If [tex]x=1[/tex], then [tex]y=2(1)-3 = 2-3=-1[/tex]

If [tex]x=2[/tex], then [tex]y=2(2)-3 = 4-3=1[/tex]

So, the points on the graph of the given equation are:  (0, -3), (1, -1) and (2, 1)

According to the below graph, those points are on a straight line.

Thus, the correct option will be:  A. It is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line.

Answer:

A. It is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line.

Hope it helped!

Btw, it was correct on the test!

4a.

Inverse: If two segments are not of same length, then they are not congruent. TRUE

Converse: If two segments are congruent, they have the same length. TRUE

Contrapositive: If two segments are not congruent, then they do not have the same length. TRUE

4b.

Inv: if x not= 3, then |x| not= 3. FALSE. Counterexample: x=-3

Conv.: if |x|=3 then x=3. FALSE. Ex: x=-3

Contr: if |x| not=3 then x not= 3.   TRUE

Answer:

Ah, this is an example of the distribution property, as you would need to distribute the 5 to the 8 and 3. Here's the step-by-step process:

[tex]5(8+3)[/tex]

Let's first multiply the 5 and 8

[tex]5(8)=40[/tex]

Now, the 5 and 3

[tex]5(3)=15[/tex]

We now have two whole numbers, and therefore our answer:

40 + 15

Answer:

7 days because 15 times 7 =105 and if you add 30 to that you get 135.

Step-by-step explanation:

The Webb family rented the car for 7 days.

To find the number of days the Webb family rented the car, we can set up an equation using the given information. Let's say the number of days the car was rented is x. The total cost would then be $30 (one-time fee) plus $15 (daily fee) multiplied by x. This can be represented as the equation: 30 + 15x = 135. To solve for x, we need to isolate it by subtracting 30 from both sides: 15x = 105. Then, divide both sides by 15: x = 7. Therefore, the Webb family rented the car for 7 days.

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An inverse variation can be represented by the equation

[tex]xy=k\to y=\dfrac{k}{x}[/tex]

We have

[tex]\dfrac{y}{6}=x\qquad|\cdot6\\\\y=6x[/tex]

Answer: The relationship does not show an inverse variation.

5.5 cm per minute is the fastest so it will win.

Answer :Courtney will win the race. Her unit rate is the greatest,which means she walks farther in one minute than the other two turtles.

Step-by-step explanation:

that is the sample version.

She will pay $20 in interest

20 dollars of interest would be payed

Hope this helps

Answer:

[tex] \dfrac{b^2}{4a^2} [/tex]

Step-by-step explanation:

There are some fractions there that are not visible.

Here it is with the fractions in place.

[tex] x^2 + \dfrac{b}{a}x = -\dfrac{c}{a} [/tex]

To complete the square, take half of the x-term coefficient, and square it.

The x-term coefficient is [tex] \dfrac{b}{a} [/tex].

Take half of it, or [tex] \dfrac{b}{2a} [/tex].

Now square it: [tex] \dfrac{b^2}{4a^2} [/tex].

That is what you must add to complete the square.

Answer:

(b/2a)^2

Step-by-step explanation:

usatestprep

I believe that “b” would equal 6

So, this is a rate per person * number of people.

So,

$916 per person * 72 people = 65,952

The city pays $916 per year for health insurance for;

each of 72 municipal employees

So;

1 municipal employee gets ⇒ $916

72 employees get ⇒ How much?

Cross multiplying gives:

72/1 × $916 = $65,952

The total cost the city pays per year is $65,952.

Answer:

[tex]4.5a^6d^2[/tex]

Step-by-step explanation:

Use:

[tex](ab)^n=a^nb^n\\\\(a^n)^m=a^{nm}\\\\a^n\cdot a^m=a^{n+m}\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\a^0=1\ for\ a\neq0[/tex]

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[tex]\dfrac{(3a^3b^{-2}c^0d)^3}{6a^3b^{-8}c\cdot b^2d}=\dfrac{3^3(a^3)^3(b^{-2})^3(1^3)d^3}{6a^3b^{-8+2}d}=\dfrac{27a^9b^{-6}d^3}{6a^3b^{-6}d}\\\\=\dfrac{27}{6}a^{9-3}b^{-6-(-6)}d^{3-1}=4.5a^6b^0d^2=4.5a^6d^2[/tex]