Evaluate each expression

3x+8+4x=-8(x-6)-8(13x+5)​

Get rid of parenthesis.

3x+8+4x=-8(x-6)-8(13x+5)​

3x+8+4x=-8x+48-104x-40

Comine like terms.

7x+8=-112x+8

Add 112x on both sides and subtract 8 from both sides.

119x=0.

Now since you cannot solve, or will get a 0, the answer is x=0.

[tex]\bf A=bx+cx+d\implies A-d=bx+cx\implies A-d=\stackrel{\textit{common factor}}{x(b+c)} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \cfrac{A-d}{b+c}=x~\hfill[/tex]

Answer:

scale factor = 1.2

Step-by-step explanation:

To determine the scale factor, calculate the ratio of the length of the second rectangle to the length of the first rectangle. The corresponding ratio of widths should also equal the same ratio.

scale factor = [tex]\frac{14.4}{12}[/tex] = [tex]\frac{6}{5}[/tex] = 1.2

Final answer:

The scale factor used to get from the first rectangle to the second one is 1.2.

Explanation:

The scale factor used to get from the first rectangle to the second one can be found by comparing the dimensions of the two rectangles. The length of the first rectangle is 12 and the length of the second rectangle is 14.4. Dividing the length of the second rectangle by the length of the first rectangle gives us:

Scale factor = length of second rectangle / length of first rectangle = 14.4 / 12 = 1.2

So, the scale factor used to get from the first rectangle to the second one is 1.2.

Good morning

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Answer:

2/3 < 3/4​

___________________

Step-by-step explanation:

2/3 = (2*4)/(3*4)=8/12

3/4 = (3*3)/(4*3)=9/12

Since 9/12>8/12 then 3/4>2/3

:)

Answer:

(4x^3 -5y^2) (16x^6 + 20x^3y^2 + 25y^4)

Step-by-step explanation:

Use a^3 - b^3 formula which is (a-b) (a^2 + ab + b^2)

Here a is 4x^3 and b is 5y^2.

You get (4x^3 -5y^2) (16x^6 + 20x^3y^2 + 25y^4)

Let me know if this helps!

Answer:

Step-by-step explanation:

1. Answer below

[tex]2x = \sqrt[3]{125}[/tex]

[tex]2x = 5[/tex]

[tex]x = \frac{5}{2}[/tex]

[tex]x = 2.5[/tex]

2. Answer below

[tex]x + 3^{2} = \sqrt[3]{27}[/tex]

[tex]x + 9 = 3[/tex]

[tex]x = -6[/tex]

The equation that represents a line parallel to 3x + 5y = –3 is A. 3x + 5y = 2, as it only differs in the y-intercept from the original line, therefore having the same slope which ensures it's parallel.

To determine which equation represents a line parallel to the given line 3x + 5y = –3, we should know that parallel lines have the same slope. The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. Let's first rewrite the given equation in slope-intercept form.

3x + 5y = –3
5y = -3x - 3
y = -3/5x - 3/5

The slope of this line is -3/5. We now look for an equation among the options which has the same slope of -3/5.

A. 3x + 5y = 2 is the correct choice as it only differs in the y-intercept, which makes it parallel to the original.

B. 6x + 10y = –6 is actually equivalent to the original equation when divided by 2, hence it's the same line, not merely parallel.

C. –5x + 3y = 2 has a different slope.

D. –3x + 5y = –3 has a different slope.

Answer: 2/16

Step-by-step explanation:

If we multiply 1/8 time 2/2(which is equal to 1) we get 2/16

Answer:

5/40

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

-y₁ + y₂\-x₁ + x₂ = m

1 + 15\1 + 3 = 4

16 4

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Answer:

None of the above (x=3/7)

Step-by-step explanation:

9+3.5x=11-0.5

9+3.5x=10.5

+3.5x=10.5-9

3.5x=1.5

x=1.5/3.5

x= 15/35=3/7

Answer:

HEY THERE THE ANSWER IS C

Step-by-step explanation:

I believe this is the equation you meant to put, 9+3.5x=11-0.5x. In that case the answer iis C which is 2 :) hope this helps and someone doesn't delete my answer for the 3rd time

Answer: -767.25<-556.75

Explanation: Ryan has less money than tim therefore making him owe the bank more

Answer:

Answer is B. Hope this helps

Step-by-step explanation:

Answer: ORP and ORN are a linear pair

Answer:

Option A.

Step-by-step explanation:

Statements                                                                       Reason

1). m∠ORP = 80°, m∠ORN = (3x + 10)°                         Given

2). m∠ORP + m∠ORN = 180°                           ∠ORP & ∠ORN are linear pair

80 + (3x + 10) = 180

3x + 90 = 180

3x = 180 - 90

3x = 90

x = [tex]\frac{90}{3}[/tex]

  = 30°

Hence x = 30° is proved.

Option A. is the answer.

Answer:

-5 7/8 ft (Answer D)

Step-by-step explanation:

Note that 5.875 ft is the same as 5 7/8 ft.

The diver is initially 5 7/8 ft beneath the water surface, so we give that 5 7/8 ft the negative sign:

-5 7/8 ft represents the diver's position in relation to the surface.

The driver's position in relation to the surface before swimming to the top is represented by D. -5 7/8 feet. This is because in this scenario, a negative number signifies underwater depth.

In mathematics, the term 'relation' is often used in the context of functions and refers to the way two sets of numbers are interconnected. In your scenario, a negative number is used to signify the driver's position underwater, while a positive number indicates their position above water. Therefore, if the diver swims 5.875 feet up to the surface, this would mean their original position was -5.875 feet. When expressed in decimal form, this would be -5.9, and when expressed in fractions, it would be -5 7/8 feet. Hence, the correct answer would be D. -5 7/8 feet.

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Answer:

44

Step-by-step explanation:

Answer:

the answer is 44

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Substitute the given values for a and b into the expression

3(2)² + 4(3)²

= 3 × 4 + 4 × 9

= 12 + 36

= 48

The value of x for the given rectangles is 15.

When two figures in mathematics have the same shape but different sizes, those two figures are referred to as comparable figures. For instance, similar objects are seen in different-sized images of a person, such as a passport size, stamp size, etc., but they are not consistent. Two comparable shapes in geometry are those whose dimensions are equivalent or have a shared ratio but the width or length of their sides differ. Examples include similar triangles, similar rectangles, and similar squares.

Given two rectangles are similar,

so the ratio of their lengths is equal, according to similar figure property,

given dimensions of rectangle 1 is  14 and 10

dimensions of rectangle 2 ia 21 and x

so 14/21 = 10/x

x = 21 x 10/14

x = 15

Hence value of x is 15.

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Answer:8 ft.

Step-by-step explanation:

Given: right Δ

it's 8 because you know the triangle is a right triangle which means that you can use the Pythagorean Theorem. which would be

x²= 10²- 6²

x²= 100-36

x²=64

x=8

or you can use the Egyptian triangle which is a right triangle that's sides are equal to 3,4,5. This triangle is just double the Egyptian triangle which means everything is times 2. So knowing that and that two sides of this triangle is double two sides of the other triangle, you'll find that the third side is 8, because:

6÷3=2

10÷5=2

so now proving its double you can multiply by four by two since the answer of the previous problems is two

4×2=8

The base of the wall is 8 feet from the bottom of the pole.

Answer:

16 = f(6)

12 = f(4)

Step-by-step explanation:

[tex]2(6) + 4 = 12 + 4 = 16 \\ \\ 2(4) + 4 = 8 + 4 = 12[/tex]

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Answer:

5

Step-by-step explanation:

You do 125/25 to find the number of ml of aminophylline. Answer: 5

To administer a dose of 125 mg of aminophylline, one must inject 5 ml.

The student is asking how many milliliters (ml) must be injected to administer a dose of 125 mg of aminophylline when the vial is labeled 25 mg per ml. To calculate this, we use the formula:

Dose (mg) = Volume (ml) times Concentration (mg/ml)

Since we need to administer 125 mg and we know the concentration is 25 mg/ml, we arrange the formula to solve for volume:

Volume (ml) = Dose (mg) / Concentration (mg/ml)

Volume (ml) = 125 mg / 25 mg/ml = 5 ml

Answer:

Answer B and C are correct.

Step-by-step explanation:

Vertical angles opposite each other when two lines cross.

"Vertical" refers to the vertex (where they cross), NOT up/down. They are equal.

Answer:

[tex]\angle EYL[/tex] and [tex]\angle AYS[/tex]

[tex]\angle SYL[/tex] and [tex]\angle EYA[/tex]

Step-by-step explanation:

Vertical angles can be defined as the pair of angle which are opposite when two lines crosses, as the image attached shows.

Now, [tex]\angle EYL[/tex] and [tex]\angle AYS[/tex] are vertical angles, because they are opposite when lines ES and AL cross at point Y.

Another pair of vertical angles are [tex]\angle SYL[/tex] and [tex]\angle EYA[/tex], because they are opposite when lines ES and AL cross at point Y.

Therefore, all pair of angles which are vertical angles are

[tex]\angle EYL[/tex] and [tex]\angle AYS[/tex]

[tex]\angle SYL[/tex] and [tex]\angle EYA[/tex]

Final answer:

The result of the operation 15 - 12 is 3. The calculation involves simple subtraction where 12 is subtracted from 15. So the correct answer is A) 3.

Explanation:

To perform the indicated operation of 15 - 12, we simply subtract 12 from 15. This is a straightforward arithmetic operation.

Step 1: Identify the numbers involved in the operation. Here, the numbers are 15 and 12.

Step 2: Perform the subtraction. Subtract the smaller number (12) from the larger number (15). 15 - 12 equals 3.

Step 3: Select the correct answer from the options provided. The correct answer is A) 3.

Answer:

10

Step-by-step explanation:

p=8

18-p

18-8=10

replace 10 for p

Answer:

Step-by-step explanation:

The summation formula (  arithmetic sequence when the first terme is : A1 = 13

and the coomo diff is d= -4

Sn = n/2(A1 +An)

An = A1+(n-1)d

An = 13 +(n-1)(-4)

An = -4n +17

Sn = n/2(13+17-4n) = n/2(30-4n)

Sn = -2n² +15n

in this exercice : n =4      S4 = -2(4)² +15(4) = -32+60 = 28

verify : 13 + 9 + 5 + 1 =28   ......right

Final answer:

The domain for Susan's backpack situation is {0, 1, 2, 3, 4}, representing the number of books she can carry, while the range is from 0 to 14 pounds, representing the total weight of the books she might carry.

Explanation:

To find a reasonable domain and range for Susan's backpack situation, we need to consider the lightest and heaviest books she might carry. Since Susan can carry at most 4 books and each book weighs between 1 pound to 3.5 pounds, we can define the possible weights of the books.

For the domain, we consider the number of books Susan could possibly carry. The domain would therefore be: {0, 1, 2, 3, 4}. She could carry no books or up to 4 books.

For the range, we consider the total weight of the backpack based on carrying the lightest to the heaviest books. The minimum weight would be 0 pounds (if she carries no books) and the maximum weight would be 3.5 pounds  imes 4 books = 14 pounds. So the range of weights would be from 0 to 14 pounds. However, we must remember that the weight can also be any reasonable value in between, for instance when carrying books of varying weights.

In conclusion, the domain for the number of books would be {0, 1, 2, 3, 4} and the range for the total weight of the books would be any value between 0 to 14 pounds, inclusive.

Answer:

32 inches or [tex]2\dfrac{2}{3}[/tex] feet

Step-by-step explanation:

1 foot = 12 inches

2 feet = 24 inches

Initially, the hole was 2 feet deep, after 3 days, the hole sank 8 inches further, so after 3 days, the hole was 2 feet 8 inches deep.

2 feet 8 inches = 24 inches + 8 inches = 32 inches

Now,

1 inch [tex]=\dfrac{1}{12}[/tex] foot

Then

32 inches [tex]=\dfrac{32}{12}=\dfrac{8}{3}=2\dfrac{2}{3}[/tex] inches

Answer:

is divergent if and only if | r | ≥ 1. Methods for summation of divergent series are sometimes useful, and usually evaluate divergent geometric series to a sum that agrees with the formula for the convergent case

Step-by-step explanation:

Answer:

If |r| >= 1 then the above geometric series diverges. If the above series converges, then the remainder RN = S - SN (where S is the exact sum of the infinite series and SN is the sum of the first N terms of the series) is bounded by 0< = RN <= (N.. ) f(x) dx.

Step-by-step explanation:

Answer:

6

Step-by-step explanation: The absolute value is defined as the distance of the value from 0, and thus, is the original number, but always in positive form. So,

-1 - 5 = -6

But since the absolute value is always positive, it goes from -6 to 6, or positive 6.

Answer:Commutative property

Step-by-step explanation:

The relationship between a + b and b + a is the commutative property.

The information related to the commutative property is as follows:

Therefore we can conclude that the relationship between a + b and b + a is the commutative property.

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Answer: 11/60

Step-by-step explanation: 7/12 - 2/5 find the common denominator which is 60 so that would be 35/60 - 24/60

Answer:

0.183

Step-by-step explanation:

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