The amount that a craftsman will charge for an item depends on the
amount that he spends on materials, m, and is determined by the
equation a = 2.5 + 2.5m, where a is the amount charged for each
item. What is the value of the dependent variable, if the value of the
independent variable is 3?

Answers

Answer 1

Answer:

$10

Step-by-step explanation:

m is the independent variable, and a the dependent one.

If m = 3, a = 2.5 + 2.5(3) = 10

The craftsman charges $10 when m = 3.


Related Questions

Help please!! Quickly!!

The length of a dog run is twice its width. Its area is 50 square yards.
Find the length and width of the dog run.

Answers

Answer:

Length = 10 yards Width = 5 yards

Step-by-step explanation:

2w x w = 50 yards²

2w² = 50 yards²

2w²/2 = 50 yards² / 2

[tex]\sqrt{w^{2} }[/tex] = [tex]\sqrt 25 yards^{2}[/tex]

w = 5

Area = l x w

= 10 x 5 = 50

length = 2w

width = w

length = 2(5)

length = 10 yards

HELLLLLPPPPPP MEEEEEE PLLLLEAAAASSEEEEW!!!!

Answers

3. primal. 4. venture. 5. venture

The coaches at Dobie High School recorded the number of miles ran by various students. What is the difference between the number of students who ran 2 and a half or three miles and the number of students who ran one or one and a half miles?

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as a table or chart that shows the required data is not given.

To answer this, I will make use of the following frequency table

[tex]\begin{array}{cccccc}{Miles} & {1} & {1\frac{1}{2}} & {2} & {2\frac{1}{2}} & {3} \ \\ {Students} & {10} & {0} & {5} & {10} & {5} \ \end{array}[/tex]

From the above table.

[tex]2\frac{1}{2}\ miles \to 10\ students[/tex]

[tex]3\ miles \to 5\ students[/tex]

So:

[tex]2\frac{1}{2}\ or\ 3\ miles = 10+5[/tex]

[tex]2\frac{1}{2}\ or\ 3\ miles = 15\ students\\[/tex]

From the above table.

[tex]1\ miles \to 10\ students[/tex]

[tex]1\frac{1}{2}\ miles \to 0\ students[/tex]

So:

[tex]1\frac{1}{2}\ or\ 1\ miles = 0+10[/tex]

[tex]1\frac{1}{2}\ or\ 1\ miles = 10\ students[/tex]

The difference (d) is then calculated by subtracting the number of students in both categories

[tex]d = 15\ students - 10\ students[/tex]

[tex]d = 5\ students[/tex]

PLEASE HELP!


1.Given the information provided for the right triangles shown here, find the unknown leg lengths to the nearest tenth.



2.The triangle shown here is not a right triangle. What are two different ways you change one of the values so it would be a right triangle? Sketch these new right triangles, and clearly label the right angle.

Answers

Answer:

1.

For triangle 1

[tex]a = 3\sqrt{5}[/tex]

For triangle 2

[tex]x = 2\sqrt{2}[/tex]

2.

Way 1

By reducing  the length of the side 4 to 3.60

Way 2

By increasing the length of side 7 to 7.21

Step-by-step explanation:

The complete question is attached in the image

Solution

1.

Both the triangles are right angled triangle

For triangle 1

[tex]7^2 = 2^2 + a^2\\49 = 4 + a^2\\a^2 = 45\\a = 3\sqrt{5}[/tex]

For triangle 2

[tex]4^2 = x^2+x^2\\2x^2 = 4*4\\x^2 = 8\\x = 2\sqrt{2}[/tex]

2.

Way 1

By reducing  the length of the side 4 to 3.60

Way 2

By increasing the length of side 7 to 7.21

b) Assume that 80 persons die, and 250 babies are born around the world each minute. how many more/fewer humans do you expect there to be on Earth at the end of 2021? Show your work. (population growth rate=birth rate – death rate (assuming zero migration)).

Answers

Answer:

ratio 80:250

Step-by-step explanation:

there will be less people than babies

What is the total surface area of a dog food can which has a diameter of 5 inches and a height of 7
inches?

Answers

Answer:

35.................

Shown below is a jar which is in the shape of a right circular cylinder. What is the length of the longest stick that could fit in this jar (without bending or breaking the stick and with no part sticking out)?

Answers

Answer:

14.14

Step-by-step explanation:

please find attached a diagram showing the stick and the jar

the length of the longest stick can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

10² + 10²

100 + 100 = 200

determine the square root of 200

= 14.14

Find the scale factor of a model train if the scale is 1 inch = 4 feet.

Answers

Answer:

1

Step-by-step explanation:

The scale factor is 1:48

4 feet = 48 inches, so 1:48

Grace’s garden is shown below. She is going to buy bags of soil that cover 75 square feet each. How many bags of soil will she need for her entire garden? Use 3.14 for pi.


A. 4 bags

B. 5 bags

C. 6 bags

D. 7 bags

Answers

Answer: C. 6 bags

Step-by-step explanation:

To solve this, you need to calculate the area of every shape in the garden and then sum them up.

Semi circle:

Area of semi-circle = (π * radius²) / 2

Radius = Diameter/ 2 = 18/2 = 9 feet

Area = (3.14 * 9²) / 2

= 127.17 ft²

Rectangle:

= Length * Width

= 18 * 8

= 144 ft²

Triangle

= 1/2 * base * height

= 1/2 * 18 * 18

= 162 ft²

Added up:

= 127.17 + 144 + 162

= 427.17 ft²

If each bag covers 75 ft² each, the number of bags needed is:

= Area to cover / Coverage per bag

= 427.17 / 75

= 5.7

= 6 bags

On a scale drawing, the height of a tree is 3.75 inches. If the scale of the drawing is 1 in. : 50 ft, how tall is the tree?

HINT: Write and solve a proportion. You will compare 1 in to 50 feet and then determine how many feet 3.75 inches would be. REMEMBER: When writing your proportion, be sure that whichever (inches or feet) is on top and bottom of one ratio, it is in the same position (top or bottom) on other ratio.

Answers

Not sure if this is right but I would multiply the 3.75 inches by 50=187.5

Obtuse can have right angles.
True or False

Answers

False. Obtuse is always greater than 90°.

Answer:

False

Obtuse triangles can't have right angles

The scale shown is not balanced.

Drag base ten blocks to the box to show the amount that x needs to be to balance the scale.

HELP PLEASEEEEE

Answers

Answer:

1 (100block)

5 (10block)

3 (1block)

Step-by-step explanation:

221-68=153

1x100=100

5x10=50

3x1=3

The amount that x = 53 needs to be to balance the scale.

What is an equation?

The term "equation" refers to a pair of algebraic expressions with the same value and the sign "=" in between.

We have an equation,

221 = x + 68

x = 221 - 68

x = 153

In 153,

1 is in place of hundred 100, 5 is in the place of 10 so, 50.

Therefore, x = 53 is the amount that needs to be to balance the scale.

To learn more about the equation;

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I need this answered quick alot of points on the line here 2 pictures down below

Answers

Answer:

1.x=10 and x=−2.

2. the answer is x=7,-1

3.=3, =1

Step-by-step explanation:

1.Since it is a quadratic equation, then it has, at the most, two solutions because the square root of the variable has a positive and negative value. Thus, the solutions to the given equation are x=10 and x=−2.

2.Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula. the you would simplify the equation.and the last thing that is to separate the equation.

3.-(-4)+/-sqrt(-4)^2-4^1^3/2*1,x=4+/-sqrt(-4)^2-4*1*3,x=4+/3sqrt16-4*1*3,x=4+/-sqrt16-12,/2*1,x=4+/-sqrt4/2*1,x=4+/-2/2*1,x=4+/2/2,x=4+2/2,x=4-2/2

Jason begins at the start of a path and rides his bike 11 12 miles on the path. The path is 12 14 miles long. Enter the distance, in miles, Jason must ride to reach the end of the path. Show your work.

Answers

Answer:

Number of miles remaining for Jason to reach end of the path = 3/4 miles

Step-by-step explanation:

Total distance of the path = 12 1/4 miles

Distance reached by Jason's bike on the path = 11 1/2 miles

Enter the distance, in miles, Jason must ride to reach the end of the path.

Number of miles remaining for Jason to reach end of the path = Total distance of the path - Distance reached by Jason's bike on the path

= 12 1/4 miles - 11 1/2 miles

= 49/4 - 23/2

= (49-46) / 4

= 3/4 miles

Number of miles remaining for Jason to reach end of the path = 3/4 miles

help me with my math please

Answers

B?..... I think it’s not a reflection it would be upside down .. it’s not moved half the space

7y - 9 = 2(y - 4) + 1​

Answers

Answer:

Step-by-step explanation:

Distribution comes first, so:

7y-9 = 2y-8+1

Then you simplify:

7y-9 = 2y-7

Then you subtract or add the lowest number with a letter:

5y-9 = -7

Now you get 5y alone, so we add the 9:

5y = 2

Then you divide 5y = 2 by 5

y = 2/5 or .4

PLEASE HELP ASAP!!!!
Complete the following chart. Describe the graph of each parabola relative to the graph
of y = x2. Indicate the number of units, where applicable. Sketch each graph.

Answers

Answer:

where is the graph lol

Step-by-step explanation:

need a graph

Quinn has a savings account with a balance of
$84.50. He withdraws $32.85, deposits $72.30,
and then withdraws $3.95. If Quinn gives his
brother 1/4 of his savings, how much does he
give his brother?

Answers

Aaron wants to know how much he needs to save each month in his savings account to have a certain amount in the future. He should use the formula for present value of a periodic deposit investmen

If one of the 50 states is chosen at random, then a dice is rolled. Find the probability of getting a state that starts with the letter A and a number less than 3. Pls, help me this is due by tomorrow at 8 am!

Answers

Answer:  2/75

Note: 2/75 = 0.0267 = 2.67% approximately

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

Explanation:

The states that start with "A" are:

AlabamaAlaskaArizonaArkansas

We have four states out of 50 total. The probability of picking a state that starts with "A" is 4/50 = 2/25.

When rolling a single die, the possible outcomes are {1,2,3,4,5,6}. The subset {1,2} represents any time we roll less than three. There are 2 ways to roll less than three, out of 6 ways total. So we have a probability of 2/6 = 1/3 here.

We'll multiply the fractions to get our answer:

(2/25)*(1/3) = (2*1)/(25*3) = 2/75

hello pls help me. khan academy sucks

Answers

Answer:

straight angle

i think straight angle is right answer

Write an expression in the form ax+b, where a and b represent rational numbers, that is equivalent to 6 (-1/2x + 2) + 1/4 (18x-12)


I need this answered by today, please!!

Answers

Answer:

[tex]6x + 6[/tex]

Step-by-step explanation:

Given

[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12)[/tex]

Required

Express as [tex]ax + b[/tex]

We have:

[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12)[/tex]

Open brackets

[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12) = 6 *-\frac{1}{2}x + 6*2 + \frac{1}{2} *18x-\frac{1}{2} *12[/tex]

Evaluate all multiplications

[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12) = -3x + 12 + 9x-6[/tex]

Collect like terms

[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12) = 9x-3x + 12-6[/tex]

[tex]6 (-\frac{1}{2}x + 2) + \frac{1}{2} (18x-12) = 6x +6[/tex]

Hence, the expression in form of [tex]ax + b[/tex] is [tex]6x + 6[/tex]

Can someone help me ?? I’ll give Brainliest

Answers

Answer: All I'm seeing is a blank screen I'm sorry can you try it again?

Answer:

nice black screen i like it

solve for x. enter you answer below as a fraction ​

Answers

Answer:

x=9/80

Step-by-step explanation:

Answer:

9/80

Step-by-step explanation:

[tex]1)\ x + \frac{9}{20} = \frac{9}{16}[/tex]

[tex]2)\ x = \frac{9}{16} - \frac{9}{20}[/tex]

[tex]3)\ x = \frac{9}{16} - \frac{9}{20}[/tex]

[tex]4)\ x = \frac{45}{80} - \frac{36}{80}[/tex]

[tex]5)\ x = \frac{9}{80}[/tex]

Find the area of the regular nonagon

Answers

Answer:

267.3

Step-by-step explanation:

area of a regular polygon =

(perimeter * apothem)/2

perimeter: 9 * 6.6 = 59.4

area: 59.4 * 9 = 534.6

534.6/2 = 267.3

area = 267.3

The sixth grade class went to a family fun center. out of the 154 students, 85 played laser tag. A total of 80 students roller skates and 39 of those played laser tag.

Answers

Answer:

Whats the question?

Step-by-step explanation:

Answer:

What’s the question for the problem?


Find the value of x in the given
right triangle.
12
x = [?]°
х
5
Enter your answer as a decimal rounded to the
nearest tenth.

Answers

Answer:

65°

Step-by-step explanation:

to find angles, use the inverse trig function (in this case, tan^-1)

tan^-1(5/12)

Answer:

65.4

Step-by-step explanation:

Please answer quickly. I need help bad

The equation y-3=-2(x+1) represents a line. Which best describes the line?
A. slope: 4, passes through (1, -2)
B. slope: -2, passes through (-1,3)
C. slope 2, passes through (-3, 1)
D. slope 4. passes through (2, -1)

Answers

Answer:

B

Step-by-step explanation:

Write the statement as an algebraic expression. Three times the difference of a number and five.

Answers

Answer:

3(n - 5) = 2n - 3

3n - 15 = 2n - 3

n = 12

Step-by-step explanation:

2x + 9/3x + 16
X =
= [?]

Answers

x = 67. my answer is not correct, try using mat.w?ay for an accurate answer or snap.

Which statement is true about the factorization of 30x2 + 40xy + 51y2?
O The polynomial can be rewritten after factoring as 10(3x2 + 4xy + 5y2).
O The polynomial can be rewritten as the product of a trinomial and xy.
The greatest common factor of the polynomial is 51x?y2.
The greatest common factor of the terms is 1.

Answers

Answer:

The Answer Is That "The Greatest Common Factor Of The Terms Is 1."

Step-by-step explanation:

Took The Test.

The polynomial is factorized and greatest common factor of the terms is 1

What is Factorizing?

Brackets should be expanded in the following ways to factorize an expression

For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket

For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.

Given data ,

Let the polynomial be represented as A

Now , the value of A is

A = 30x² + 40xy + 51y²    be equation (1)

Now , the expression can be factorized as

The factors of 30 = 1 , 2 , 3 , 5 , 6 , 15 and 30

The factors of 40 = 1 , 2 , 4 , 5 , 8 , 10 , 20 and 40

The factors of 51 = 1 , 17 , 51

Therefore , the greatest common factor is 1

Hence , the factorized form of the equation is A = 30x² + 40xy + 51y²  

To learn more about factorization click :

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