Which equation represents a line which is parallel to the line
y = 1/2x +3

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: 13.50

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

Answer:

[tex]\frac{15-6-6}{2}[/tex] = x

You should have 1.5 feet of space between each picture.

Step-by-step explanation:

Let x be the spacing between the pictures

[tex]\frac{15-6-6}{2}[/tex] = x The total length - end spacing - the width of the posters.  What is left is the blank spaces between the posters.  Since there are 2 blank spaces, we will divide by 2 to find out the spacing between the two pictures.  Which is 1.5 feet.

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.

[tex] \: \huge \tt{\pink{A}{\orange{N}S{\green{W}{\blue{E}{\purple{R}}}}}} \\ \\ \: \: \: \tt \rightarrow {\blue{\fbox{147 \: sets}}} (approx)[/tex]

Step-by-step explanation:

Fixed costs = $ 1329.50 per month

Variable cost are $3.70 per set of napkins

Total cost she set aside = $1870 for monthly costs

Amount left for napkins = Total cost - Fixed Cost

= 1870 - 1329.50

= $540.50

Cost for one set = $3.70

Let set of napkins = x

Total cost for napkins = $540.50

Therefore , she can afford to make 147 (approx) sets of napkins per month.

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:

1y is the answer!

Step-by-step explanation:

-6y+7y=1y

Answer:

-6y + 7y = 1y

Step-by-step explanation:

[tex]32 - 6y + 7y - 2y^2[/tex]

-6y + 7y = 1y

7y - 6y = 1y or y

the whole equation would be [tex]-2y^2+y+32[/tex]

Using Algebra, Age of David is 13 years old, and Hama is 39.

The area of mathematics known as algebra deals with symbols and the formulas used to manipulate them. These symbols, which are currently expressed as Latin and Greek letters, are used in elementary algebra to represent variables, or quantities without set values.

If David were n years old and Hamas was 3 years old, then:

n + 3n = 52

4n = 52

n = 13

3n = 3 * 13 = 39

13 plus 39 equals 52

David is 13 years old, and Hama is 39.

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Answer:

б) не более трех раз

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:

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

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:

The rational numbers arranged on a number line will graduate from the highest to the lowest (left to right) as follows:

A rational number is defined in mathematics as the quotient or fraction p/q of two integers, a numerator p, and a non-zero denominator q. For example, −4/7 is a rational number, as is every integer.

Note that a number line is defined as a horizontal line with evenly spaced numerical increments.

To get the order in which the numbers must be arranged, the trick is to convert the number for which you have doubt into their decimal forms or d integer forms.

A) √16 = 4

B) 2/3 = 0.6

C) |-3| = 3 {Reason: Absolute Value of any number must be its positive equivalent]

D) 2.47 x 10^{-2} = 0.0247

E) -1/4 = -0.25

Hence rearranged in descending order (from highest to lowest) we have:

On the number line, the first nubmer from the left will be √16, followed by |-3|, and so on.

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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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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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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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Answer:

3/2

Step-by-step explanation:

6/4 = 1.5

3/2 = 1.5

So we know 1.5 is the scale and it asks for it in fraction form which would be 3/2.

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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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

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:

3

Step-by-step explanation:

18,15,12,..........

S

n

=45=

2

n

[2a+(n−1)d]

=>

2

n

[2×18+(n−1)(−3)]=45

=>

2

n

[36−3n+3]=45

=>n(39−3n)−90=0

=>39n−3n

2

−90=0

=>3n

2

−39n+90=0

=>n

2

−13n+30=0

=>n

2

−10n−3n+30=0

=>n(n−10)−3(n−10)=0

=>(n−10)(n−3)=0

=>n=10 or n=3

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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Triangle b is a obtuse triangle.

A closed triangle has three vertices, three sides, and three angles. The symbol for a triangle with the three vertices P, Q, and R is PQR. Sandwiches and signboards in the shape of triangles are the most prevalent triangle-shaped objects.

A triangle has an obtuse angle if one of the inner angles is greater than 90 degrees. In an obtuse triangle, if one angle is greater than 90°, the total of the other two angles is also less than 90°.

As the triangle B have one interior angle as 126 degree which is greater than 90

so it follows the property of obtuse triangle

Hence, triangle b is a obtuse triangle.

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At 32 cm^2/s rate the area of the square is increasing when the area of the square is 64 [tex]cm^{2}[/tex]

As per given problem each side of a square is increasing at a rate of 2 cm/s. let side of square is x.so the area of it is A= [tex]x^{2}[/tex].now differentiating w.r.t time A

[tex]\frac{dA}{dt}[/tex]= 2x[tex]\frac{dx}{dt}[/tex]

when A=64 [tex]cm^{2}[/tex] x=8 cm

also given [tex]\frac{dx}{dt}[/tex]=2cm/s

so [tex]\frac{dA}{dt}[/tex]=2×2×8=32

So at 32 cm^2/s rate the area of the square is increasing when the area of the square is 64 [tex]cm^{2}[/tex]

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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:

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]

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:

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.