write an equivalent expression to (x + 2) + 5y

Answer:-6

Step-by-step explanation:10+8-12-10+8=18-12=6=-6

im not sure what kind of math ur doing? but i tried:|

The money saved by Sam by having insurance premiums withheld before taxes are calculated is $314.23.

Given that, Sam is an agricultural inspector who earns $3,528 per month.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the tax money be x.

x = 3,528 - (258+56.23)

x = 3,528 - 314.23

x = 3213.77

Therefore, the money saved by Sam by having insurance premiums withheld before taxes are calculated is $314.23.

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Solution:

Given:

A 52-card deck

There are four suits in a standard deck of cards, Clubs, Hearts, Spades, and Diamonds.

There are 13 diamond cards.

Hence,

Probability is calculated by;

Thus, the probability of drawing a diamond on the first draw is;

Since two draws are made with replacement, the cards are completed back again before the next draw.

Hence, the probability of drawing a diamond on the second draw is;

Therefore, the probability of drawing a diamond each time;

Answer:

14 glasses

Step-by-step explanation:

Total volume of the mix = 64 + 48 = 112 ounces

Each glass can hold 8 ounces

Number of glasses needed = 112/8 = 14

Answer:

14 glasses

Step-by-step explanation:

64 + 48 = 112

112 ÷ 8 = 14

14 glasses of juice mixture

Step-by-step explanation:

Answer:

Graph D

Step-by-step explanation:

3|x + 1| < 9

divide both sides by 3:

(3|x + 1|)/3 < 9/3

|x + 1| < 3

so:

x + 1 < 3 OR x + 1 > -3

first equation: x + 1 < 3

x + 1 < 3

subtract 1 from both sides:

x + 1 - 1 < 3 - 1

x < 2

(-∞,2)

Second equation:  x + 1 > -3

x + 1 < -3

subtract 1 from both sides:

x + 1 -1 > -3 - 1

x > -4

(-4,∞)

You are to graph: (-4,∞) ∩ (-4,∞)

this is Graph D.

Answer:

Graph D

Step-by-step explanation:

Given inequality:

[tex]3|x+1| < 9[/tex]

Divide both sides by 3:

[tex]\implies |x+1| < 3[/tex]

[tex]\textsf{Apply the absolute rule: \quad If $|u| < a$ when $a > 0$, then $-a < u < a$}[/tex]

[tex]\begin{aligned} \underline{\sf Case\; 1} && \underline{\sf Case\; 2}\\-3& < x+1 & \quad \quad \quad x+1& < 3\\-4& < x & x& < 2\end{aligned}[/tex]

Therefore, the solution set for the given inequality is:

[tex]\{x|-4 < x < 2\}[/tex]

When graphing inequalities on a number line:

Place an open circle at x = -4 and x = 2.

Shade between the two values.

Dan types better than Dora. His speed is 20 words per minutes.

Words per minute, or wpm, is an indicator of how many words are processed in a minute and is frequently used to gauge how quickly people type, read, or send and receive Morse code.

Speed of Dan =

100 / 5

= 20 words per minute.

Speed of Dora =

118/6

= 17 words per minute.

Speed of Dan is faster than Dora as he types 20 words per minute and Dora types 17 words per minute.

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The most appropriate choice for parallelogram will be given by

VUTS is a parallelogram has been proved

What is a parallelogram?

Parallelogram is a quadrilateral in which each pair of opposite sides are parallel and equal.

There are different properties of parallelogram-

Opposite sides of a parallelogram are equal

Opposite angles of a parallelogram are equal

Diagonals of a parallelogram bisect each other

Here,

There is a well known theorem on parallelogram.

If a pair of opposite sides in any quadrilateral is equal and parallel, then the quadrilateral is a parallelogram.

This theorem will be applied here.

Here,

SV ║ TU

[tex]\Delta SVX \cong \Delta UTX[/tex]

So SV = TU [Corrosponding parts of congruent triangles are congruent]

So a pair of opposite sides of VUTS are equal and parallel

So, VUTS is a parallelogram

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Answer:

A one-dimensional object is a line which has only one dimension or measurement, which is its length. Or to put it differently, a one-dimensional object can only be measured in one direction. A flat shape with two dimensions or measurements—length and width—and no thickness is two-dimensional. A two-dimensional object can be measured in two different directions. Squares and rectangles are examples of two-dimensional shapes. However, three-dimensional objects, also known as solids, have three dimensions or measurements: length, width, and height. Therefore, they can be measured in three different directions. Examples include cylinders, cubes, and pyramids.

Explanation:

Dimensional: Having measurements in one or more directions, often meaning length, width, and height.

One-dimensional - Length

Two-dimensional - Length and Width

Three-dimensional - Length, width, and height

The required function for the given condition is f(x) = 2x²- 7.

Given that,
To determine the parent function of f(14) = 2(14)2−7.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Let the function be f(x),
According to the question,
f(14) = 2(14)²−7
Put 14 = x
f(x) = 2x²-7

Thus, the required function for the given condition is f(x) = 2x²- 7.

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The length of the line BE is 14.4 cm.

When two parallel lines are intersected by another line, corresponding angles are the angles that are formed in matching corners or corresponding corners with the transversal.

In ΔACD

BE is parallel to CD.

Now, consider ΔACD and ΔABE

Line BE is parallel to CD.

The corresponding angles are,

∠ACD =∠ABE

∠ADC = ∠AEB

And, the common angle is:

∠A = ∠A

Therefore, ΔACD ∼ ΔABE

Hence, the corresponding sides are in proportion.

Now,

AB/AC = BE/CD

BE = CD( AB/AC )

From the diagram,

CD = 18 cm, AB = 20 cm, and AC = AB + BC = 25 cm

BE = 18( 20/25 )

BE = 14.4 cm

Hence, in triangle ABE the length of the line segment BE is 14.4 cm.

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A) The change in the volume of solution in the tank after 1 minute is;

-3⁷/₁₅ liters per minute

B) The change in volume of the solution after 15 seconds is; -13/15 liters per minute.

C) What change in the volume of solution in the tank after 15 seconds means is that there is a decrease in the volume of solution in the tank by 13/15 liters per minute.

The given parameters of the solution in the tank are;

The rate at which the solution enters the tank, V = 16³/₄ liters per minute

The rate at which the solution leaves the tank = 19⁴/₅ liters per minute

(a) The expression that represents the change in volume in the tank is given as follows;

16³/₄ - 19⁴/₅ = -3⁷/₁₅ liters per minute

b)  We want to find the change in volume of the solution after 15 seconds.

15 seconds is equal to 0.25 minutes or 1/4 minutes

Therefore, the change in the volume after 15 seconds is;

-3⁷/₁₅ * 1/4 = -13/15 liters per minute

c) The change in the volume of solution in the tank after 15 seconds is a decrease in the volume of solution in the tank by 13/15 liters per minute.

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By using midpoint theorem of triangles we can get the value of x as 6 and the length of SR is also 6 units.

A line segment constructed by joining the midpoints of two triangle sides will be parallel to the third side and have a length that is half that of the third side, according to the midpoint theorem, also known as the midline theorem.

Therefore from the above property we can write

IK=2SR

or, 3x-6 = 2(2x-6)

or, 3x-6 = 4x - 12

or, -x = -6

or, x = 6

Therefore the length of SR is 6 units and the length of x is also 6 units.

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The amount of money that Stefan made from selling the bicycle and helmet to Jin is $73.20.

The first step is to determine the total cost of the items bought by Jin.Total cost = cost of the bicycle + cost of helmet$165 + $18 = $183

The equation that represents the total cost of the items bought by Jin in relation to the cost of the items bought by Stefan is:

The total cost of the items bought by Jin = (1 + percentage increase) x cost of the items bought by Stefan

$183 = (1 + 1.50) x p

$183 = 2.50p

p = $183 / 2.5

p = $73.20

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Answer: 405810

Step-by-step explanation:

Math

Answer:

608,715

Step-by-step explanation:

I used a calculator

The most appropriate choice for unitary method will be given by-

a) Mass of 100 [tex]cm^3[/tex] of the material = 1000 g

b) Mass of 500 [tex]cm^3[/tex] of the material = 5000 g

What is unitary method?

Unitary method is the process in which the value of single unit can be calculated from the value of multiple unit and the value of multiple unit can be calculated from the value of single unit.
Sometimes Value of single unit can be less than the value of multiple unit. For example - The relation between the cost of a commodity and the quantity of the commodity

Sometimes Value of single unit can be more than the value of multiple unit. For example - The relation between the number of men and the number of days taken by those men to do a certain job.

Here,

a)Mass of [tex]9 cm^3[/tex] of samples = 90 g

Mass of 1 [tex]cm^3[/tex] of sample = [tex]\frac{90}{9}[/tex] g

Mass of 1 [tex]cm^3[/tex] of sample = 10 g

Mass of 100 [tex]cm^3[/tex] of sample = [tex]10 \times 100 g[/tex] = 1000 g

b) Mass of 500 [tex]cm^3[/tex] of sample = [tex]10 \times 500[/tex] g = 5000 g

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Answer:

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

Find the monthly gross and subtract all the deductions.

Monthly gross salary is:

Total deductions:

Monthly paycheck is:

Answer:

$2,561.56

Step-by-step explanation:

Income:

Deductions:

Total deductions:

⇒ 12% + 6.2% + 1.45% = 19.65%

If 19.65% of the gross salary is deducted, the percentage remaining will be:

⇒ 100% - 19.65% = 80.35%

Find 80.35% of the gross annual salary:

⇒ 80.35% of $38,256

⇒ 0.8035 × 38256

⇒ 30738.696

Divide this by 12 to find the value of the monthly pay check:

⇒ 30738.696 ÷ 12 = 2561.558

Therefore, the monthly pay check is $2,561.56 (nearest cent).

For the given arithmetic sequence 313, 307, 301, ..., the 42nd term of the sequence is -391.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.

It is given that,

The following sequence is,

313, 307, 301, ...

The given sequence is in the arithmetic progression the common difference of the series is,

d = 307 - 313 = 301 -307

d = -6

The nth term of the arithmetic progression is,

aₙ = a + (n – 1)d

a₄₂= - 307 + (42 -1)-6

a₄₂= -307 + 41(-6)

a₄₂= -307 +(-84)

a₄₂= -307 -84

a₄₂= -391

Thus, for the given arithmetic sequence 313, 307, 301, ..., the 42nd term of the sequence is -391.

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Answer:

First angle: 48°

Second angle: 36°

Third angle: 96°

Step-by-step explanation:

The sum of the three angles of a triangle = 180°

Let the measure of the first angle be a°

Then second angle measure = (a - 12)°

Third angle measure = 2a°

Adding up all these should equal 180°

⇒  a + a - 12 + 2a = 180

⇒  4a - 12 = 180

⇒ 4a = 180 -+ 12

⇒ 4a = 192

⇒  a = 192/4 = 48°

Thus the first angle is 48°

Second angle = 48 - 12 = 36°

Third angle = 2 x 48 = 96°

19.02 percent of the people do not like both hamburgers and burritos.

What is a percent?

The Latin name per centum, literally means "hundredth" or "by the 100," is where the word "percent" originates. The Italian word per cento, which means "for a hundred," gradually shrank to become the symbol for "percent." The ratio's numerical value is multiplied by 100 to obtain the percent value. Sequentially applied percentage adjustments do not add up in the typical sense. The steepness of a road's or railroad's slope is expressed as "percent," depending on the context. Additionally, percentage is employed to represent a mixture's composition in terms of mass and mole percent.

No. of people who do not like both hamburgers and burritos = 77 - 38 = 39

Total number of people = 205

Percentage of people who do not like both hamburgers and burritos

= 39/205 x 100 percent

= 19.02 percent

Hence, 19.02 percent of the people do not like both hamburgers and burritos.

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The length of the football field in scientific notation is written as;

⇒ 4.32 × 10⁻³  inches.

Option B is true.

What is Number system?

A way for system of writing to express the number is called number system.

Given that;

The length of the football field = 4,320 inches.

Now,

Find the estimate number of the length of the football field as;

Since, The length of the football field = 4,320 inches.

The number = 4,320 inches

It can be written as;

4,320 inches =  4.32 × 10⁻³ inches.

Therefore,

The length of the football field in scientific notation is written as;

⇒ 4.32 × 10⁻³  inches.

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Answer: 9 May

Step-by-step explanation: 3291684271 Fanelli Furs

594683219 Brooklyn Pets

7677095385 Maple Garage

8765713281 PAYMENT

321447162 Caruso's Restaurant

Previous

Balance

$420.50

4-10700000

Also this doesn't make a lot of sense.

Answer:

Approximately 626,000 square miles (1,000,000 km²) in size

ANSWER and EXPLANATION

(A) f(x) - 3

=> y-intercept

The y-intercept of f(x) is f(0). This implies that the y-intercept of f(x) - 3 is f(0) - 3.

In other words, the y-intercept is 3 units less than the y-intercept of the original function, since the function is translated 3 units downward.

=> Regions where the graph is increasing and decreasing

The region where the function f(x) increases and decreases do not change since the function is only translated and there is no change in the size of the figure.

=> End behavior

The end behavior of the graph doe not change as well because there is no change in the form or size of the graph, it is only translated

(B) -2 * f(x)

=> y-intercept

The y-intercept of

The remainder of the table for the given function rule are -7, - 6 and -5.

For the given question,

The function is defined as;

y = x - 7

To obtain the remainder of the table, put x = 0, 1, 2 in the function and obtain y.

1. x = 0

  y = 0 - 7

  y = -7

2. x = 1

y = 1 - 7

y = -6

3. x = 2

y = 2 - 7

y = -5

Thus, the remainder of the table for the given function rule are -7, - 6 and -5.

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Answer:

In order to convert a fraction to a decimal, you must divide the top number of the fraction (numerator) by the bottom number of the fraction (denominator).

And you get 0.85 (or .85)

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/20=0.05

17*0.05=0.85

The distance between points C and D is 10 units

What is the distance formula?

The distance formula calculates the distance between two points. It measures the straight line distances between two points. the distance formula for Point x(a, b) and y(c, d) is given by [tex]d=\sqrt{(d-b)^{2} +(c-a)^{2} }[/tex].

We are given the coordinates as C(1,-4)  and D(9,-10)

Substituting the values in the distance formula

[tex]d=\sqrt{(-10+4)^{2}+(9-1)^{2} } \\d=\sqrt{(-6)^{2} +8^{2} }\\ d=\sqrt{36+64} \\d=\sqrt{ 100}\\d=10[/tex]

Therefore the distance between two points is 10 units.

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