does 4(2x+1)=5(x+2)+3 have one solution , no solution or many solutions

The value of p in the given equation is -1.

Given is an equation p-3 = -4, we need to find the value of p,

So,

p-3 = -4

p = -4+3

p = -1

Hence, the value of p in the given equation is -1.

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Answer:

Step-by-step explanation:

100,000 doubles to 200,000 in 80 years then 400,000 in 80 more years

400,000 because it doubles once first 80 years to 200,000 then again another 80 years to 400,000

Answer: Cost Price = 21,50,000

Step-by-step explanation:

The first step is to convert angle A = 23°23' to degrees. Recall, the interpretation of angle A is 23 degree 23 minutes. Also,

1 degree = 60 minutes

Let x = 23 minutes. Thus, we have these equations

1 = 60

x = 23

By crossmultiplying,

60x = 23

x = 23/60 = 0.3833

Thus,

angle A = 23 degrees + 0.3833 degrees = 23.3833 degrees

The triangle is shown below

Taking angle A as the reference angle,

hypotenuse = 42.75

opposite side = a

adjacent side = b

To find a, we would apply the sine trigonometric ratio which is expressed as

Sin# = opposite side/hypotenuse

Sin 23.3833 = a/47.25

By crossmultiplying,

a = 47.25Sin 23.3833

a = 18.75

To find b, we would apply the cosine trigonometric ratio which is expressed as

Cos# = adjacent side/hypotenuse

Cos 23.3833 = b/47.25

By crossmultiplying,

b = 47.25Cos 23.3833

b = 43.37

The given triangle is a right triangle. This means that one of its angles is 90 degrees. Thus,

angle C = 90 degrees

The sum of the angles in a traingle is 180 degrees. This means that

angle A + angle B + angle C = 180

23.3833 + angle B + 90 = 180

angle B + 113.3833 = 180

angle B = 180 - 113.3833

angle B = 66.62 degrees

Answer:

8h

Step-by-step explanation:

8 miles per hour

h hours

plug in h for how many hours

8 divided by 6 is 1.3

1.3 hours to run 6 miles

Here is the basic salary-to-hourly formula for this method: First, divide the employee’s annual salary by 52 weeks (the number of weeks in a year). Divide the weekly wages by 40 hours.

Answer: 145.3

Step-by-step explanation:

the solution for the given expression 11.5x + 10.9y  is 145.3

What is an Equations?

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) symbol. It demonstrates how the expressions written on the left and right sides are equivalent. Equations can be solved to find the value of a variable that represents an unknown quantity. If there is no "equal to" symbol in a statement, it is not an equation. It will be viewed as a phrase.

11.5x + 10.9y

Here x = 6 and y = 7

11.5*6 + 10.9*7 = 145.3

Hence, the solution the given expression is 145.3

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Answer:

430

Step-by-step explanation:

Therefore, the answer is 430.

Answer:

2

Step-by-step explanation:

It decreases by two, if you look at the side of Figure A you'll see that it is four squares, and Figure B is two squares. So the scale factor is 2.

its non propotional that the answer

Answer:

68 823 620

Step-by-step explanation:

if the last no. is 5 or above add 1 to the number after it and turn the original number into zero but if the last no. if below or 4 then keep it as it is and change the last no. to zero

Area of triangle DEF as ΔABC is similar to ΔDEF is 39.0625m².

The area of similar triangles theorem states that the ratio of the area of two similar triangles are proportional to the square of the ratio of their sides that corresponds.

Given the data in the diagram;

Since the triangles are similar;

Area of ΔABC / Area of ΔDEF = ( BC/EF )²

100m² / x = (8m / 5m )²

100m² / x = 64m² / 25m²

x × 64m² = 100m² × 25m²

x × 64m² = 2500m⁴

x = 2500m⁴ / 64m²

x = 39.0625m²

Therefore, the area of ΔDEF is 39.0625m².

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Expressing or writing 7+21 as a product of two factors requires the application of Distributive Property

The expression that shows 7+21 written as a product of two factors is

7(1 + 3).

       a (b + c) = ab + ac

Where

a is the common factor

We are given the expression:

7 + 21

Splitting this into two factors using the distributive property

7 + 21

The common factor for 7 and 21 is 7

Hence, by factorising we have:

7 + 21 = 7(1 + 3)

Therefore, the expression that shows 7+21 written as a product of two factors is :

7(1 + 3)

The correct option is D

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Answer:

\(33.72 \: square \: yards \)

Step-by-step explanation:

\(4 \times 10 = 40 \\ {2}^{2} \pi \div 2 = 6.28 \\ 40 - 6.28 = 33.72\)

Answer:

21.4 m²

Step-by-step explanation:

To find the surface area of this whole triangular prism, we have to look at the bases (the triangles), find their surface area, then look at the sides (the rectangles) and find theirs.

Let's start with the triangles. The area of any triangle is \(\frac{bh}{2}\). The base of this triangle is 2m (because there are 2 one meters) and the height is 1.7m.

\(\frac{2\cdot1.7}{2} = \frac{3.4}{2} = 1.7\)

So the area of one of these triangles is 1.7m. Multiplying this by two, because there are two triangles in this prism:

\(1.7\cdot2=3.4\)

Now let's find the area of the sides.

The side lengths are 2 and 3, so

\(2\cdot3=6\), and there are 3 sides (including the bottom/floor) so \(6\cdot3=18\).

Now we add.

\(18+3.4=21.4\) m².

Hope this helped!

Answer: 21.4 square meters^2

Step-by-step explanation:

The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95

To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.

Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.

To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):

m = (C2 - C1) / (B2 - B1)

 = ($48.45 - $6.65) / (25 - 3)

 = $41.80 / 22

 ≈ $1.90

Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):

b = C - mB

 = $6.65 - ($1.90 * 3)

 = $6.65 - $5.70

 ≈ $0.95

Therefore, the linear model that represents the cost of any number of candy bars can be written as:

C = $1.90B + $0.95

This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.

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Given:

Bob owns a hardware store he sells hammers for 15$

On Saturday he sold 36 hammers.

The total cost of the hammers =

So, the answer will be $540

Answer:

x=−5 and y=−7

Step-by-step explanation:

Step: Solve y=2x+3for y:

y=2x+3

Step: Substitute2x+3foryin4x−3y=1:

4x−3y=1

4x−3(2x+3)=1

−2x−9=1(Simplify both sides of the equation)

−2x−9+9=1+9(Add 9 to both sides)

−2x=10

−2x

−2

=

10

−2

(Divide both sides by -2)

x=−5

Step: Substitute−5forxiny=2x+3:

y=2x+3

y=(2)(−5)+3

y=−7(Simplify both sides of the equation)

Answer:

59°

Step-by-step explanation:

The angles of a triangle equal 180°.

Also the angle of a straight line is 180°.

So you first find the missing bottom angle by taking 180-147 to equal 33.

Then you take 33+88+x=180

solve for x by subtracting 88 and 33 from 180 to equal 59.

Answer:

59°

Step-by-step explanation:

180 - 147 = 33

88 + 33 = 121

180 - 121 = 59

Answer:

this was m closet answer 39.3701 and it was using 12 small boxes.

Step-by-step explanation:

Answer:

-1/5

Step-by-step explanation:

We can use the formula [ y2-y1/x2-x1 ] to solve.

3-1/-5-5

2/-10

-2/10

-1/5

Best of Luck!

y = -1/3x + 1

y = -2x - 3

We can compare the equations to the graphs and see which graph represents the intersection point of the two equations.

The first equation, y = -1/3x + 1, has a negative slope (-1/3) and a y-intercept of 1.

The second equation, y = -2x - 3, also has a negative slope (-2) and a y-intercept of -3.

Based on the slopes and y-intercepts, we can identify the correct graph by finding the point where the two lines intersect.

Unfortunately, since the graphs are not provided, I am unable to determine which specific graph shows the solution to the system of linear equations. I recommend referring to the graph representation of the equations and identifying the intersection point to determine the correct graph.

The percentage of peak A in the mixture is approximately 66.67%.

To calculate the percentage of peak A in the mixture, we need to compare the areas under the respective peaks.

The area of a peak in chromatography represents the quantity or concentration of the compound. In this case, we can assume that the heights of the peaks are proportional to their areas.

The area of a peak can be estimated by multiplying the height by the width. Therefore, the estimated area of peak A is 4 cm (height) multiplied by 10 cm (width), which equals 40 cm². Similarly, the estimated area of peak B is 4 cm (height) multiplied by 5 cm (width), which equals 20 cm².

To calculate the percentage of peak A in the mixture, we divide the area of peak A by the total area of both peaks (peak A + peak B), and then multiply by 100:

Percentage of peak A = (Area of peak A / (Area of peak A + Area of peak B)) * 100

Percentage of peak A = (40 cm² / (40 cm² + 20 cm²)) * 100

= (40 cm² / 60 cm²) * 100

= (2/3) * 100

= 66.67%

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Answer: (-3,7)

Step-by-step explanation:

Flip the signs

It takes 35 days for Dave to use 2600 staples in which would lead to Dave's ability towards world domination.

Given that, a stapler has max capacity of 560 staples.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Every 10 staples one gets stuck resulting in one being not used

So, out of 560 staples 56 are not being not used.

So, remaining stapes are 560 - 56 = 504

Number of staples used for 56 documents

= 56×6 = 336

Total number of staples used for 56 documents = 336+34

= 370

Number of staples used for a day = 370/5

= 74

Number of days take for Dave to use 2600 staples

= 2600/74

= 35.13 ≈ 35

Therefore, it takes 35 days for Dave to use 2600 staples in which would lead to Dave's ability towards world domination.

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Answer:

Below

Step-by-step explanation:

As I posted ....looks to be 147°

Answer:

\(\displaystyle (x + 3)(x^2 + 9)\)

Step-by-step explanation:

\(\displaystyle x^3 + 3x^2 + 9x + 27 \hookrightarrow x^2(x + 3)\:9(x + 3) \\ \\ \boxed{(x^2 + 9)(x + 3)}\)

Perhaps there is a typographical errour in your answer choises.

Still, I am joyous to assist you at any time.

When we factorise the polynomial x³ + 3x² + 9x + 27 completely, the result obtained is (x² + 9)(x + 3)

x³ + 3x² + 9x + 27

Group the terms

(x³ + 3x²) + (9x + 27)

Factorise

x²(x + 3) + 9(x + 3)

Since the same entity appear in both brackets, we shall pick one as follow

(x² + 9)(x + 3)

Thus,

x³ + 3x² + 9x + 27 = (x² + 9)(x + 3)

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Susan has more candy in weight compared to Isabel.

To compare the candy weights between Susan and Isabel, we need to ensure that both weights are in the same unit of measurement. Let's convert Isabel's candy weight to ounces for a fair comparison.

Given:

Susan: 4 bags x 6 ounces/bag = 24 ounces

Isabel: 1 bag x 16 ounces/pound = 16 ounces

Now that both weights are in ounces, we can see that Susan has 24 ounces of candy, while Isabel has 16 ounces of candy. As a result, Susan is heavier on the candy scale than Isabel.

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