the sum of twice a number and 5 is at most 3 less than the number

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

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.

She will pay $20 in interest

20 dollars of interest would be payed

Hope this helps

AB=BC=CD together with the fact the horizontal lines are parallel implies that HG=GF=FE (can be proved using triangle similarity).  So knowing FE=5.1 implies FG=5.1

Since we now know that the horizontal lines are equidistant, it means that ML=LK=KJ (same argument as above). Therefore KL=7.6.

Let me know if you have questions!

Since the horizontal lines are parallel, and AB=BC=CD, the lengths of KL and FG are: D. KL = 7.6; FG = 5.1.

In Mathematics and Euclidean Geometry, parallel lines are two lines that are always the same distance apart and never meet.

This ultimately implies that, parallel lines are always coplanar lines and straight lines that have an equal distance between each other.

By critically observing the figure, we can logically deduce that the horizontal lines are all parallel to each other with two transversals;

AB = BC = CD (Given)

AB = LM = 7.6

BC = KL = 7.6

CD = JK = 7.6

AB = GH = 5.1

BC = FG = 5.1

CD = EF = 5.1

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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)

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

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

assuming you mean y² = 169

then taking the square root of both sides gives

y = [tex]\sqrt{169}[/tex] = ± 13

since 13² = 169 and (- 13)² = 169

The values of y are -13 and 13 in the equation y^2 = 169.

It is given that the expression [tex]\rm y^2 = 169[/tex]

It is required to find the values of y.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

We have a quadratic equation:

[tex]\rm y^2 = 169[/tex]

[tex]\rm y^2-169=0[/tex]   (subtract 169 on both sides)

[tex]\rm y^2- 13^2=0[/tex]           (169 = 13²)

(y+13)(y-13) = 0      (a²-b² = (a+b)(a-b))

Taking  (y+13) = 0 ⇒ y = -13

Taking (y-13) = 0  ⇒ y = 13

Thus, the values of y are -13 and 13 in the equation y^2 = 169.

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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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Answer:

64mph

56mph

higher

64mph

56mph

higher

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

Turn both into decimals or fractions with a common denominator: 3.1 OR 3 1/10 and 1.2 OR 1 2/10

Now you need to subtract : 3 1/10 - 1 2/10 = 1 9/10 OR 1.9

In mixed number form : 1 9/10

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]

----------------------------------------------------------------------------------

[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]

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

m = (3-(-7))

       --------

       5-5

 The slope is undefined since the denominator is zero

Answer:

[tex]A[/tex], | [tex]\frac{47}{10} -(3.2)[/tex] |

To find the vertical distance between a dolphin below sea level and a bird above sea level, the absolute values of their distances from sea level must be added, resulting in a distance of 4.7 + 3.2 meters, which means the correct answer is 'none of the above'.

The question is asking to calculate the vertical distance between a dolphin below sea level and a bird above sea level. To find this vertical distance, you would add the absolute values of their distances from sea level. Since sea level is our reference point, and the dolphin is at 3.2 meters below it while the bird is at 47/10 or 4.7 meters above, the expression to represent the vertical distance between the dolphin and the bird would be:

4.7 + 3.2

The correct answer is none of the above since neither of the provided expressions represents the sum of the two distances. Instead, each expression attempts to subtract one distance from the other, which is not the correct method for finding the vertical distance between two objects on opposite sides of the sea level reference point.

Answer:

She can travel 36 blocks in 12 minutes.

Step-by-step explanation:

First you must find out how many blocks he can skateboard in 1 minute.

15/5

He can skateboard 3 blocks in 1 minute.

The equation I will use is b * m

b = blocks

m = minutes

so in this situation you must multiply 3 * 12 to get your answer.

which is b = 36

Answer:

She can travel 36 blocks in 12 minutes.

Step-by-step explanation:

First you must find out how many blocks he can skateboard in 1 minute.

15/5

He can skateboard 3 blocks in 1 minute.

The equation I will use is b * m

b = blocks

m = minutes

so in this situation you must multiply 3 * 12 to get your answer.

which is b = 36

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Step-by-step explanation:

:)

d.

5.3066 m2

that is your answer

Answer:

=59+108+81+x=360

=248+x=360

=112

Considering the nearest-degree measurements, angle x falls between 58.5 and 108.5 degrees, determined by adjusting the upper and lower bounds based on the provided angles in the diagram.

Given that the angles in the diagram are measured to the nearest degree, we can determine the upper and lower bounds of angle x using the provided angles: 59 degrees, 108 degrees, and 81 degrees.

To find the upper bound of angle x, we select the largest angle, which is 108 degrees. The upper bound is obtained by adding 0.5 degrees to this angle (since measurements are to the nearest degree). Therefore, the upper bound of angle x is 108 + 0.5 = 108.5 degrees.

For the lower bound, we choose the smallest angle, which is 59 degrees. The lower bound is found by subtracting 0.5 degrees from this angle. Thus, the lower bound of angle x is 59 - 0.5 = 58.5 degrees.

In conclusion, the measure of angle x lies between the lower bound of 58.5 degrees and the upper bound of 108.5 degrees.

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Hey there,

The answer your looking for is X = -3

- Ari -

The answer is x = -3 because:

-(6x+7)+8=19

-6x-7+8=19

-6x+1=19

-6x+18

x=-3

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.

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Answer: [tex]4\frac{5}{12}\ feet[/tex]

Step-by-step explanation:

The height of Leon's older brother = [tex]4\frac{3}{4}[/tex] feet

[tex]=\frac{16+3}{4}=\frac{19}{4}[/tex] feet

Since, Leon is 1/3 foot shorter than his brother.

Then, the height of Leon = [tex]\frac{19}{4}-\frac{1}{3}[/tex]

First we need to make them like fractions by multiplying 3 on the numerator and denominator of the first fraction and 4 on the numerator and denominator of the second fraction.

Then, the height of Leon = [tex]\frac{57}{12}-\frac{4}{12}[/tex]

[tex]=\frac{57-4}{12}\\=\frac{53}{12}=4\frac{5}{12}[/tex] feet

Hence, The  height of Leon =[tex]4\frac{5}{12}\ feet[/tex]

19 years old double her age is 24 then you subtract 5. 19

Hector is 19 years old.

12 x 2 = 24 - 5 = 19

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.

(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

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Nine million thirty two thousand five hundred four and seventy five hundredths.

nine million thirty-two thousand five hundred four and seventy five tenths. :)

The simplified expression is [tex]\(338\sqrt{x} - 40\sqrt{2y}\),[/tex] combining like terms of square roots of variables.

To simplify the given expression, let's simplify each term separately:

1. [tex]\(2 \cdot 4\sqrt{16x}\)[/tex]

  - Simplify \(4\sqrt{16x}\): Since [tex]\(16x = (4 \cdot 4) \cdot x = 4^2 \cdot x\), the square root of \(16x\) is \(4\sqrt{x}\).[/tex]

  - Substitute this result into the expression:[tex]\(2 \cdot 4 \cdot 4\sqrt{x} = 32\sqrt{x}\).[/tex]

2. [tex]\(2 \cdot 4\sqrt{2y}\) - Simplify \(4\sqrt{2y}\): Since \(2y\) doesn't have a perfect square factor, we leave it as is. - Substitute this result into the expression: \(2 \cdot 4\sqrt{2y} = 8\sqrt{2y}\).[/tex]

3. [tex]\(34\sqrt{81x}\) - Simplify \(\sqrt{81x}\): Since \(81x = (9 \cdot 9) \cdot x = 9^2 \cdot x\), the square root of \(81x\) is \(9\sqrt{x}\).[/tex]

  - Substitute this result into the expression: [tex]\(34 \cdot 9\sqrt{x} = 306\sqrt{x}\).[/tex]

4. [tex]\(4 \cdot 4\sqrt{32y}\) - Simplify \(4\sqrt{32y}\): Since \(32y = (4 \cdot 8) \cdot y = 4^2 \cdot 8y\), the square root of \(32y\) is \(4\sqrt{8y}\). - Rewrite \(\sqrt{8y}\) as \(2\sqrt{2y}\) since \(8 = 4 \cdot 2\). - Substitute this result into the expression: \(4 \cdot 4 \cdot 2\sqrt{2y} = 32\sqrt{2y}\).[/tex]

Now, combine all the simplified terms:

[tex]\[ 32\sqrt{x} - 8\sqrt{2y} + 306\sqrt{x} - 32\sqrt{2y} \][/tex]

Combine like terms:

[tex]\[ (32\sqrt{x} + 306\sqrt{x}) - (8\sqrt{2y} + 32\sqrt{2y}) \][/tex]

[tex]\[ 338\sqrt{x} - 40\sqrt{2y} \][/tex]

Therefore, the simplified form of the expression is [tex]\(338\sqrt{x} - 40\sqrt{2y}\).[/tex]

The simplified form of the expression is 338√x - 72√2y, after applying the square roots to known perfect squares and combining like terms.

To simplify the expression, first apply the square root to known perfect squares and distribute the multiplication:

2(4√16x) becomes 2(4×4√x) because √16 = 4, so this part simplifies to 32√x.

2(4√2y) stays as is because √2y cannot be simplified further without more information about y, so this part is 8√2y.

34√81x can be simplified because √81 = 9, resulting in 34×9√x, which is 306√x.

4(4√32y) becomes 4(4×√16×√2y) because √32 = √16×√2, so this part simplifies to 64√2y.

Combining all the parts, we subtract the like terms:

32√x - 8√2y + 306√x - 64√2y

This simplifies further to 338√x - 72√2y

That is the final simplified expression.

The answer would be x+3