Which expression is equivalent to -5(b-2)?
-7b
-2(b - 5)
-5b + 10
10b-5

The solution for the -

Simultaneous equation [1]

y = 2 - x

6x + 5y = 11

is (1, 1)

AND

Simultaneous equations [2]

x + 2y = 2

2x + y = 1

is (0, 1)

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have the following set of equations

Simultaneous equation [1]

y = 2 - x

6x + 5y = 11

Simultaneous equations [2]

x + 2y = 2

2x + y = 1

These are the equations of a straight line. Plotting the graphs and finding the point of intersection would give us the solution. It can be seen from the graphs that the solution is given for first set is of simultaneous equations as (1, 1) and the second set of simultaneous equations as (0, 1)

Refer to the two graphs attached.

Therefore, the solution for the -

Simultaneous equation [1]

y = 2 - x

6x + 5y = 11

is

(1, 1)

AND

Simultaneous equations [2]

x + 2y = 2

2x + y = 1

is

(0, 1)

To solve more questions on system of equations , visit the link below-

brainly.com/question/16308797

#SPJ1

a) the acceleration = 0.028 m/s²

b) constant speed = 10m/s

d) Distance travelled during first 10 sec = 50m

e) Distance travelled during last 10 sec = 75m

f) the total distance travelled = 350 m

Total distance travelled during first 10 sec = area of triangle

= 1/2 * 10 * 10

= 50m

Total distance travelled during next 15 sec = area of square

= 15 * 15

= 225

Total distance travelled during last 10 sec = area of triangle

= 1/2 * 10 * 15

= 75m

Total distance travelled = 50 + 225 + 75

= 350m

Velocity = Total distance / Time taken

= 350/ 35

= 10m/s

Acceleration = Velocity / time taken

= 10 / 35

= 0.028 m/s²

c)

= -0.028 m/s²

To know more about distance check the below link:

https://brainly.com/question/26046491

#SPJ1

If the given quadrilateral is a parallelogram, then the value of x = 8  and the value of y = 9

The given quadrilateral is a parallelogram.

Then the opposite side of of the parallelogram will be equal

Then the equation will be

4x - 17 = 2x - 1

4x - 2x = -1 + 17

2x = 16

x = 16/2

Divide the terms

x = 8

Similarly given angles will be equal

3y + 5 = 5y - 13

5y - 3y = 5 + 13

2y = 18

y = 18 / 2

Divide the terms

y = 9

Hence, the if the given quadrilateral is a parallelogram, then the value of x = 8  and the value of y = 9

Learn more about parallelogram here

brainly.com/question/19187448

#SPJ1

 In 14x¹³ ,  x¹³ is exponent with base x , power 13 and 14 as coefficient

Exponent is a method of expressing large numbers in terms of powers.

It means when a number is multiplied by itself many times we can express expressed it in exponent form .

The symbol used for representing the exponent is "^" .This symbol is known as carrot

Base is that number that is being multiplied.

tells how many times that number is multiplied.

In the given question,

14x¹³

Base = x

because x is multiplied 13 times

so, Power = 13

Exponent = x¹³

Coefficient = 14

To know more about exponent here

https://brainly.com/question/5497425

#SPJ9

The suitable equation and solution is given by (D) g=48 gifts.

Given that max organized a community toy drive for the holidays.

He asked each family to donate a total of 4 gifts.

12 families participated in the toy drive.

If the total number of gifts is g, then the equation is given by,

g = 12*4 = 48 gifts.

Hence the correct option is (D) g=48 gifts.

To know more about Equation refer to:

https://brainly.com/question/2972832

#SPJ1

8 ounces for $1.47. It comes out to $0.07 per ounce compared to $0.12 per ounce.

Answer:Rite aid

Step-by-step explanation:

8 ounces for $1.47. It comes out to $0.07 per ounce compared to $0.12 per ounce.

If the side lengths of the state flag of Michigan are in the ratio 4:7. when the flag is 28 feet long the height will be 49 feet

The height of the flag is calculated using the scale factors,  4 : 7

if 4 is equivalent to 28 what would 7 be

4 / 7 = 28 / ?

4 * ? = 7 * 28

? = 7 * 28 / 4

? = 49 feet

Learn more about scale factors here:

https://brainly.com/question/29506988

#SPJ1  

Answer:

3.57 × 10⁹

Step-by-step explanation:

Scientific Notation:

*Note: Your problem is already in scientific notation.

Answer: 3,570,000,000

Step-by-step explanation:

Your problem is already in scientific notation but if you are trying to turn it into a standard form, then that is the answer

The coordinates of X’ is (4,12)

Dilation means changing the size of an object without changing its shape.

Given that, Line segment XY is located at X(2, 6) and Y(4,8). If the line segments are dilated by a scale factor of 2 with a centre of dilation of

T(0,0).

The rule for a figure dilated by a scale factor k with a centre of dilation (a, b) is;

(x, y) → (k(x-a) + a, k(y-b) + b)

The line segment is dilated by a scale factor of 2 with a centre of dilation of T(0,0)

According to the rule,

(x, y) → (2(x-0) + 0, 2(y-0) + 0)

(x, y) → 2x + 2y

The coordinates of X' are (2, 6)

X(2, 6) → (2*2, 2*6)

X(2, 6) → (4, 12)

Hence, The coordinates of X’ is (4,12)

For more references on dilation, click;

https://brainly.com/question/13176891

#SPJ1

The percentage increase per year, assuming that the number of lions increased by the same percentage each year is 20%.

Given that, there were 500 lions in an African nature reserve. 3 years later there were 864 lions in the same nature reserve.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let the percentage increase per year be x.

a) According to the question,

500(1+x)³=864

⇒ (1+x)³=864/500

⇒ (1+x)³=1.728

⇒ 1+x= 1.2

⇒ x =0.2

In percentage 20%

b) [tex]500(1+0.2)^1[/tex]

= $600

Hence, the percentage increase per year, assuming that the number of lions increased by the same percentage each year is 20%.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ1

The number of sticks in the sixth and nth patterns will be 32 and 5n + 2, respectively.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

In the first pattern, the number of sticks is 7. Then in each succession of the pattern, 5 sticks are added, then the number of sticks in the nth pattern will be given as,

aₙ = 7 + (n - 1) × 5

aₙ = 7 + 5n - 5

aₙ = 5n + 2

The number of sticks in the 6th pattern will be calculated as,

a₆ = 7 + (6 - 1) × 5

a₆ = 7 + 5 × 5

a₆ = 7 + 25

a₆ = 32

The number of sticks in the sixth and nth patterns will be 32 and 5n + 2, respectively.

More about the arithmetic sequence link is given below.

https://brainly.com/question/12373434

#SPJ1

The length, l, of Olive’s picture frame is 18 - 1.25d, if Olive and Ryan have picture frames with the same perimeter.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

The perimeter of the rectangle = 2(length + width)

Let a by b the dimensions for Olive's picture

Let c by d the dimensions for Ryan's picture

b = 1.25d

The perimeter of the picture = 2(9 + 9) = 36

2(a + b) = 36

a + b = 18

a = 18 - b = 18 - 1.25d

Thus, the length, l, of Olive’s picture frame is 18 - 1.25d, if Olive and Ryan have picture frames with the same perimeter.

Learn more about the rectangle here:

https://brainly.com/question/15019502

#SPJ1

Answer:

39%

Step-by-step explanation:

Answer:

Part a) consecutive interior angles

Part b) 

Part c) m∠5=

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

Part a) Angles 3 and 5 are consecutive interior angles

therefore

m∠3+m∠5=

Part b) we have

m∠3=

m∠5=

substitute

Part c) solve for x

Find the value of m∠5

m∠5=

m∠5=

Answer:

Step-by-step explanation ma is 9 because p + i=o K/x 798 g ćxΨ / ʥ and 78 / 2 +e =9 then oi x l = j j also = 6 and that's how you do it

The "average" of the "positive distances" of each point from the mean is the mean absolute deviation. There is more variability in the data the higher the MAD (the data is more spread out). The MAD aids in determining if the mean of the set serves as a reliable predictor of the values included therein.

Find the mean of the data set first, then use that value to calculate the mean absolute deviation of the data. Divide the total number of data values by the sum of the individual data values. By using the formula |data value - mean|, determine the absolute value of each data value's variance from the mean.

The average distance between each data point and the mean is known as the mean absolute deviation of a dataset. It offers us a sense of how variable a dataset is. The mean absolute deviation may be calculated as shown below.

Step 1: First, determine the mean.

Step 2: Determine the positive distances between each data point and the mean. Absolute deviations are those.

Step 3: Combine those deviations.

Step 4. Multiply the total by the number of data points.

The simplest approach to learn about mean absolute deviation is probably to follow these steps in the example below, however here is a more formal method to express the stages in a formula:

GAD (Greatest Absolute Deviation) = ( ∑ | [tex]x_{i}[/tex] - [tex]x_{mean}[/tex] | ) / n

To know more about mean absolute deviation:

https://brainly.com/question/27256489

#SPJ4

​

a) The lower bound of the length of the line is 12.12

b) The upper bound of the length of the line is 12.25

What is a lower bound?

The least value that would round up to the predicted value is the lower bound. The smallest value that would round up to the following anticipated value is the upper bound.

What is an upper bound?

A value that is greater than or equal to every element of a set of data.

What is the difference between the lower and upper bound?

An element of K that is greater than or equal to each element of S is known in mathematics as an upper bound or majorant of the subset S of some preordered set (K, ), especially in order theory. In addition, each element of K that is less than or equal to each element of S is characterized as a lower bound or minorant of S.

Here,

We have to find the lower bound and upper bound of 12.2

We get a lower bound = 12.12

and upper bound = 12.25

Hence, a) The lower bound of the length of the line is 12.12

b) The upper bound of the length of the line is 12.25

To learn more about the lower bound and upper bound from the given link

https://brainly.com/question/28725724

#SPJ1

Answer:draw a vertical line on the 4th line on the x axis(the horizontal one)

Step-by-step explanation:

The value of the quantity after 99 months is 5228.58.

Given that,  an initial value = 5900, rate of decay = 0.85% and time period = 7 years.

The quantity decreases slowly after which the rate of change and the rate of growth decreases over a period of time rapidly. This decrease in growth is calculated by using the exponential decay formula.

The exponential decay formula formula is [tex]Amount=Initial\ value(1-\frac{r}{100} )^{\frac{t}{n} }[/tex]

Here, the value [tex]=5900(1-\frac{0.85}{100} )^{\frac{99}{7} }[/tex]

= 5900×[tex](0.9915)^{14.14}[/tex]

= 5900×0.8862

= 5228.58

Therefore, the value of the quantity after 99 months is 5228.58.

Learn more about the exponential decay here:

https://brainly.com/question/13674608.

#SPJ1

The correct answer to reflection of hexagon  is Option B

y=x, x-axis, y=x, y-axis

What is hexagon?

6-sided polygon is called hexagon , it is type of polygon( a plane figure made up of lines).

Main body:

using point B(−3,1)

Across the line y=x(x,y)→(y,x)

so we get (1,−3)

Across the x-axis (x,y)→(x,−y)

we get (1,3)

Across the line y=x(x,y)→(y,x)

we get (3,1)

Across the y-axis (x,y)→(−x,y)

we get (−3,1)

Hence the option B is correct.

to know more about hexagon click on the link below

https://brainly.com/question/15424654

#SPJ4

The equation y = -2x +12 in slope - intercept form.

Find the slope of the line that is parallel to y = -2x +3

Slope (m) = -2

Substitute and calculate ;

m = -2, x = 8 ,y = -4 into y = mx + b

-4 = -2 x 8 + b

Calculate the product :

-4 = -16 + b

Calculate the sum or difference:

-b = -12

b = 12

Again, Substitute m = -2 , b = 12 into y = mx +b :

y = -2x + 12

Rewrite the equation y = -2x + 12 in slope - intercept form:

y = -2x + 12

Hence, The equation y = -2x +12 in slope - intercept form.

Learn more about Slope-Intercept form at;

https://brainly.com/question/19824331

#SPJ1

If the aquarium has 1 fewer redfish than bluefish. 60% of the fish are blue. There are 5 out of 3 blue fish in the aquarium.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol. The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages.

It is given that, the aquarium has 1 fewer redfish than bluefish. 60% of the fish are blue.

If blue, then 60%. 2/5 are red and 1/3 are blue. Two redfish and three bluefish are present.

Thus, if the aquarium has 1 fewer redfish than bluefish. 60% of the fish are blue. There are 5 out of 3 blue fish in the aquarium.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ1

Answer:

last one: 20

Step-by-step explanation:

4 divided by 5 is 0.8

so is 20 divided by 25

25 g of  5% ointment and the pure ingredient are needed to compound the prescription.

A ratio is a comparison of two or more numbers that indicates their relative sizes. When two or more ratios are multiplied termwise, the resulting ratio is known as a compound ratio. The first quantity in the ratio is known as the antecedent, and the second quantity is known as the consequent.

For example, the compound ratio of two ratios, a:b and m:n, is am: bn.

Given,

Prescription requirement 50g for 10% ointment

but pharmacist has 5% ointment and pure ingredient

then to compound the prescription pharmacist needs x g

calculation:-

[tex]50 : 10 :: x : 5\\\\\frac{50}{10}=\frac{x}{5}\\\\5=\frac{x}{5}\\\\x=25[/tex]

Thus, required quantity of ointment and pure ingredient is 25 g.

To learn more about ratios refer here

https://brainly.com/question/13419413

#SPJ4

Answer:1 3/5

Step-by-step explanation:

All you have to do is we take quotient 1 as a whole part and in the fractional part remainder 1 as the numerator, and divisor 5 as the denominator.

Answer:1 3/5

Step-by-step explanation: 8/5-5/5= 3/5 so that leaves you with 1 3/5

First derivative of the given function √2-3x  using first principle method is equal to -3.

As given in the question,

Given function is equal to :

f(x) = √2-3x

First derivative of the given function √2-3x  using first principle method is given by:

    f'(x) = [tex]\lim_{h \to \ 0}[/tex] [ (f(x +h) -f(x) ) / h]

Substitute the value of the function we get,

⇒f'(x) =  [tex]\lim_{h \to \ 0}[/tex] [ √2 -3(x +h ) - (√2 -3x) ] /h

⇒f'(x) =  [tex]\lim_{h \to \ 0}[/tex] [ √2 -3x -3h -√2 +3 x]/ h

⇒f'(x) =  [tex]\lim_{h \to \ 0}[/tex] (-3)

⇒f'(x) = -3

Therefore, first derivative of the given function √2-3x  using first principle method is equal to -3.

Learn more about derivative here

brainly.com/question/25324584

#SPJ9

Answer:

9.34 billions of pounds

Hope that helps ;)

A statement of the equation could be as; "John bought y oranges which are 5 times the apples more than 3".

An equation is an expression that shows the relationship between two or more numbers and variables.

The information provided is that the real-world situation in which opposite quantities combine to make zero.

We have been given an equation as y = 5x + 3

A statement of equation could be as; "John bought y oranges which are 5 times the apples more than 3".

If the number of apple x is 6 then;

y = 5x + 3

y = 5(6) + 3

y = 33

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ1