|x-1| +5 = 2

please gimme an answer

Answer:

Henry bought five decks

so that is 8*5 dollars

which is 40dollars

and his friend to bought the same amount so 40 +40 is 80dollars

Answer:

Step-by-step explanation:

Arc Length = θ × r

area of a sector = (θ/360)*πr 2

The terms are f, 15 and 7g and the coefficient of 7g is 7.

What is the coefficient of a polynomial?

A coefficient in mathematics is a multiplicative factor in some term of a polynomial, series, or expression; it is generally a number, although it can be any expression (including variables such as a, b and c). When the coefficients are variables in and of themselves, they are referred to as parameters.

The terms in the expression f+15+7g are f, 15 and 7g and the coefficient of 7g is 7.

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Answer:

[tex]h = kj + 4g[/tex]

Step-by-step explanation:

[tex] \frac{h - 4g}{j} = k[/tex]

[tex]h - 4g = kj[/tex]

[tex]h = kj + 4g[/tex]

Expression given:

The distributive property states that:

Then, using this property, we can rewrite the given expression as follows:

Simplifying we get:

nswer:

Answer: 0.06 which is 6% sales tax

Step-by-step explanation:

After factorization, the absolute value of the variable 'x' is 9.

What is factorization method?

The factorization method is used for the quadratic based equation whose highest degree is either two or more than two. Depending upon the degree of the variable, the number of factors are calculated. And by substituting the calculated value to check whether the answer is correct or not.

According to the question, the given linear equation is: |2x - 4| = 15

Now, to calculate the value of the variable 'x' by using factorization method. And to remove the bars which represent absolute value that means positive values

Required expression: |2x - 4| = 15

⇒ 2x = 15 + 4 = 19

⇒ x = 19/2 = 9.5

After factorization, the absolute value of the variable 'x' is 9.

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Jeff's savings account, which earns simple interest, has a total amount of 10,405.2 today after 2 years.

Simple interest is given by the formula:

SI = PTR/100

Where SI = simple interest

P = principal

R = interest rate (in percentage)

T = time duration (in years)

If he deposited 8700 into the account 2 years ago and earns interest at a rate of 9.8%, then using the formula, the amount of interest earned can be determined.

SI = PTR/100

SI = 8700(2)(9.8)/100

SI = 1705.2

To get the total amount on his account, add the interest earned to the principal amount he deposited.

total amount = 8700 + 1705.2

total amount = 10,405.2

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Answer:

see explanation

Step-by-step explanation:

the 3 interior angles of Δ ABC sum to 180°

sum the 3 angles and equate to 180

x - 44 + x + 48 = 180

2x + 4 = 180 ( subtract 4 from both sides )

2x = 176 ( divide both sides by 2 )

x = 88

Then

∠ A = 48°

∠ B = x = 88°

∠ C = x - 44 = 88 - 44 = 44°

The price of a 10-ounce bottle is $0.79

The price of a 12-ounce bottle is $0.99

The price of a 20-ounce bottle is $1.64

The price of the 64-ounce bottle is $4.98

Package price of 10-ounce bottles = $3.19

Number of bottles in the package = 4

Price per bottle = Package price/Number of bottles = 3.19/4

= $0.79

Package price of 12-ounce bottles = $5.99

Number of bottles in the package = 6

Price per bottle = Package price/Number of bottles = 5.99/6

= $0.99

Package price of 20-ounce bottles = $6.56

Number of bottles in the package = 4

Price per bottle = Package price/Number of bottles = 6.56/4

= $1.64

Package price of 64-ounce bottles = $4.98

Number of bottles in the package = 1

Price per bottle = Package price/Number of bottles = 4.98/1

= $4.98

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Answer:

A and C

Step-by-step explanation:

Piecewise functions have multiple pieces of curves/lines where each piece corresponds to its definition over an interval.

Given piecewise function:

[tex]f(x)=\begin{cases}2x \quad &\text{if }x < 1\\5 \quad &\text{if }x=1\\x^2 \quad &\text{if }x > 1\end{cases}[/tex]

Therefore, the function has three definitions:

[tex]\textsf{A.} \quad f(1) =5[/tex]

This statement is true as when x = 1, f(x) = 5.

[tex]\textsf{B.} \quad f(5)=1[/tex]

This statement is false as when x is greater than 1, f(x) = x²:

[tex]\implies f(5)=(5)^2=25[/tex]

[tex]\textsf{C.} \quad f(2)=4[/tex]

This statement is true as when x is greater than 1, f(x) = x²:

[tex]\implies f(2)=(2)^2=4[/tex]

[tex]\textsf{D.} \quad f(-2)=4[/tex]

This statement is false as when x is less than 1, f(x) = 2x:

[tex]\implies f(-2)=2(-2)=-4[/tex]

Answer:

D. When a transversal crosses parallel lines, the corresponding angles are congruent.

Step-by-step explanation:

This is quite self-explanatory. It is pretty well-explained in the textbook if you're looking for guidance, practice, or more help.

You need to remember these four theorems:

- Corresponding Angles Theorem

   - If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.

- Alternate Interior Angles Theorem

   - If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

- Alternate Exterior Angles Theorem

   - If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent.

- Consecutive Interior Angles Theorem

   - If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary.

The expression that represents the perimeter of the triangle is 10m + 2.

The three sides of the triangle are given as :-

3m - 2 , 5m - 3 and 2m + 7

We have to find the expression that represents the perimeter of the triangle.

We know that,

Perimeter of a triangle  = Sum of all three sides of the triangle

Hence, according to the data given in the question, we can write,

Perimeter of the triangle = (3m - 2) + (5m - 3) + (2m + 7) = (3m + 5m + 2m) + (-2 - 3 + 7) = 10m + (-5 + 7) = 10m + 2.

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The value of the numerical expression [tex]\sqrt{ 288 \times \left (\frac{2}{3}\right) \times \left (\frac{1}{3}\right)}[/tex] will be 8.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The statement is given as "the square root of the product of 288 and two-thirds and one-third​".

Then the expression is written as,

[tex]\rightarrow \sqrt{ 288 \times \left (\dfrac{2}{3}\right) \times \left (\dfrac{1}{3}\right)}[/tex]

Simplify the expression, then we have

⇒ √(576 / 9)

⇒ 24 / 3

⇒ 8

The value of the numerical expression [tex]\sqrt{ 288 \times \left (\frac{2}{3}\right) \times \left (\frac{1}{3}\right)}[/tex] will be 8.

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The speed of Car A when it travels 60 miles in 2 hours is 30 miles per hour. This is the rate. Therefore, that is true.

From the information, it should be noted that Car A travels 60 miles in 2 hours. It should be noted speed is calculated as:

Speed = Distance / Time

It should be noted that speed simply means the distance that's travelled with respect to time.

Speed = 60 / 2

Speed = 30 miles per hour

Note that an overview was given as enough information wasn't given about Car B.

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The value of x for the given similar triangle is found as 8 units.

For the given question;

In similar triangle EDB and ABC,

BC = 1/2 BD

Taking the ratios of the sides;

AC/ ED = BC/ BD

Put the values;

x / (10 - 64) = 1/2

Simplifying;

2x = 10x - 64

x = 64/8

x = 8

Thus, the value of x for the given similar triangle is found as 8 units.

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Answer:

24342.

Step-by-step explanation:

(1 +152 + 5)² + 12 ÷ 2

= 156^2 + 12 / 2

= 24336 + 6

= 24342.

It is to be noted that the predicted rating after taking a dose in two decimal places is 5.53. See the explanation below.

Recall that we are given the expression:

y= 0.5x²−3.6x+8.9 .......................function 1

After 2.5 hours,

Predicted Rating (y) =

0.5 (2.5)² - 2.6 (2.5) + 8.9  [Substitute x into the function]

y= 0.5 (6.25) - 2.6 (2.5) + 8.9 [Expand the brackets]

y= 3.125 - 6.5 + 8.9

y= 5.525

Hence the predicted rating in two decimal places is 5.53. This means that the symptoms have been reduced by at least 50%.

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The number that must be added to the positive difference of 4³/10 and 7⅔ to obtain 25​ is 21 [tex]\frac{19}{30}[/tex]

A mixed number is a non-integer that is made up of a whole number, a numerator and a denominator. An example of a mixed number is 21 [tex]\frac{19}{30}[/tex].

The first step is to determine the positive difference between the mixed numbers. If the difference is positive, it means that the smaller fraction was subtracted from the larger fraction.[tex]7\frac{2}{3} - 4\frac{3}{10}[/tex]

[tex]3\frac{20 - 9}{30}[/tex] = [tex]3\frac{11}{30}[/tex]

The next step is to subtract 3 11/30 from 25

25 -  [tex]3\frac{11}{30}[/tex] = 21 [tex]\frac{19}{30}[/tex]

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Answer:

9 lbs. (first answer in the drop-down box)

Step-by-step explanation:

the 3 lightest puppies are weighted 3 lbs. each (the 3 'X's on the very left)

3lbs. x 3 = 9 lbs.

so, the answer is 9 lbs.

The wind speed when the air pressure is 20kpa will be 954.36 miles per hour.

From the information, there is a close relationship between the air pressure inside a hurricane and its maximum sustained wind speed: y = -0.932x + 973.

where x = the air pressure in millibars (kPa) l

y = wind speed in knots (nautical miles per hour).

Therefore, the wind speed when the air pressure is 20kpa will be calculated thus:

y = -0.932x + 973.

y = -0.932(20) + 973.

y = -18.64 + 973

y = 954.36

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There is a close relationship between the air pressure inside a hurricane and its maximum

sustained wind speed: y = -0.932x + 973 where x is the air pressure in millibars (kPa) and y is the

wind speed in knots (nautical miles per hour). Find the wind speed when the air pressure is 20kpa.

Answer:

B

Step-by-step explanation:

Due to the absolute value sign....there will be no negatives in the answer for y....    so either   b or c

2.5 * |-3|  = 7.5      so answer B

FIRST STEP TO A ANSWER THIS QUESTION IS TO SIMPLIFY THE INEQUALITY.

[tex]6x - 6x + 3 > 7 - 4x - 8 \\ 3 > 7 - 4x - 8 \\ 4x > 7 - 8 - 3 \\ 4x > - 4 \\ \frac{4x}{4} > \frac{ - 4}{4} \\ x > - 1[/tex]

IF THEY SAY X IS AN INTEGER THEREFORE THE MINIMUM VALUE OF X TO SATISFY THE INEQUALITY IS 0

x=0 is the answer

Answer:

the second one .... 14x + 18x2 + 7 is the equivalent expression

The diagram shows a semi-circle inside a rectangle of length 150 m.

The semi-circle touches the rectangle at A, B and C,  the perimeter of shaded region is 267.8m

Perimeter of a circle =  2 πr

Thus, as per the diagram given:

Length of rectangle = 150 m

The radius of semi circle = half of 150 m = 75 m

So, the width of the circle is same as radius = 75 m

The shaded region is bounded by the circumference of a quarter circle (AB) and the two sides measuring it are 75 m each.

Perimeter of Quarter circle = 2πr

On substituting r

Perimeter of Quarter circle = 2π x 75

Perimeter of the shaded region = 117 + 75 + 75 = 267.8 m

The diagram shows a semi-circle inside a rectangle of length 150 m. The semi-circle touches the rectangle at A, B and C,  the perimeter of the shaded region is 267.8m

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Answer:

width=x

length=x+8

area= x(x+8)

new width =x+2

new length=x+10

New Area = (x+2)(x+10)

(x+2)(x+10)-x(x+8)= 68

after solving:

4x=68-20

4x=48

x=12

width=12m

length=12+8=20m

Answer: what

Step-by-step explanation:

The original number is 32/3.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them. Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific variables in our day-to-day situations. But the need to depict these shifting values is ongoing. These values are frequently represented in algebra by symbols such as x, y, z, p, or q, and these symbols are known as variables.

let the number be x

So, halves a certain number and then adds 8 to the result

=1/2 x + 8

and, same answer if he doubles his original number

= 2x

2x - 8  = 1/2x + 8

2x - 1/2 x =8 + 8

3/2 x = 16

x = 32/3

Hence, the original number is 32/3.

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Answer: f(x)=15m+100

Step-by-step explanation:

Because the flat fee is 100 so that should be your y intercept as they won't change it no matter what.

the 15 is the x (or slope) as it may vary depending on how many mils you walk

Hope this helps :)

Answer: 13.50

Step-by-step explanation: Add all the ages and divide it by the number of bears