solve for −4.2y+2.1>−2.52

Step-by-step explanation:

70

---- × 17=$11.90(saved)(answer)

100

Answer:

  2 solutions

Step-by-step explanation:

I like to use a graphing calculator to find solutions for equations like these. The two solutions are ...

__

To solve this algebraically, it is convenient to subtract 2x-7 from both sides of the equation:

  3x(x -4) +5 -x -(2x -7) = 0

  3x^2 -12x +5 -x -2x +7 = 0 . . . . . eliminate parentheses

  3x^2 -15x +12 = 0 . . . . . . . . . . . . collect terms

  3(x -1)(x -4) = 0 . . . . . . . . . . . . . . . factor

The values of x that make these factors zero are x=1 and x=4. These are the solutions to the equation. There are two solutions.

__

Alternate method

Once you get to the quadratic form, you can find the number of solutions without actually finding the solutions. The discriminant is ...

  d = b^2 -4ac . . . . where a, b, c are the coefficients in the form ax^2+bx+c

  d = (-15)^2 -4(3)(12) = 225 -144 = 81

This positive value means the equation has 2 real solutions.

Answer:

C =18.84

Step-by-step explanation:

The circumference is given by

C = pi*d

C = 6pi

If we approximate pi by 3.14

C = 6*3.14

C =18.84

The actual height of building is 1800 feet.

Step-by-step explanation:

Given,

Height of building in model = 3 inches

Scale used by engineer;

1 inch = 600 feet

Therefore;

Actual height of building = Height in model * Scale used

Actual height of building = 3 * 600

Actual height of building = 1800 feet

The actual height of building is 1800 feet.

Answer:

You catch up to your friend after you run 190 feet, so you will be ahead of him for any distance greater than 190 feet.

Step-by-step explanation:

Answer:

29.28 degrees.

Step-by-step explanation:

sin x / 16.2 = sin 49 / 25

Cross multiply:

25 sin x = 16.2 * sin 49

sin x = (16.2 * sin 49) / 25

sin x = 0.48905

x = 29.28 degrees.

Answer:

240

Step-by-step explanation:

Multiply 168 by 100 then divide by 70

Answer:

C they have corresponding sides that are congruent

Step-by-step explanation:

hope this helps

The cost of one tub of brownie mix = $12

Step-by-step explanation:

Step 1 :

Let x represent one tub of cookie mix's cost and y represent one tub cookie mix's cost

Total amount raised by Elaine =  $75

Number of cookie mix tub sold by Elaine = 1

Number of brownie mix tub sold by Elaine = 5

This can be represented by the equation

x + 5 y = 75 => x = 75 - 5y

Step 2 :

Total amount raised by Megan =  $141

Number of cookie mix tub sold by Megan = 3

Number of brownie mix tub sold by Megan = 8

This can be represented by the equation

3 x + 8 y = 141

Step 3 :

Solving the equations obtained in the above steps we have ,

3 ( 75-5y) +8y = 141

225 - 15y + 8y = 141

-7y = -84 => y = 12

Step 4 :

Answer :

The cost of one tub of brownie mix is $12

Answer:

Step-by-step explanation:

12 dollars

6x729 equals 4374 and you get that by using a calculator that's how i would do it

Answer:

-0.62

Step-by-step explanation:

Answer:

310 Hz

Step-by-step explanation:

This is a spanish language mathematical question.

We translate this to english:

An observer approaches a static speaker at 15 meters per second. The speaker is emitting a sound with a frequency of 297 Hz. What is the frequency perceived by the observer?

Solution:

This can be solved using doppler effect formula. Which is:

[tex]f=(\frac{c}{c+V_s})f_0[/tex]

Where

f is the observed frequency (297 Hz)

c is the speed of sound  (343 m/s)

[tex]V_s[/tex] is the velocity of source (given as 15)

[tex]f_0[/tex]  is what we want to find

Now, substituting, we solve:

[tex]f=(\frac{c}{c+V_s})f_0\\297=(\frac{343}{343+15})f_0\\297=(0.9581)f_0\\f_0=309.99[/tex]

Rounding,

We can say the perceived frequency would be around 310 Hz

The original price of the granola bars before the 10% discount was $5.00. To determine this, the given discounted price was divided by 0.90, which represents the price after a 10% reduction.

The original price of a box of nut-free granola bars before the discount can be calculated by reversing the 10% discount process. Since Trey paid $4.50 after the discount, we can represent the original price as x. The discount applied to x would be 0.10 times x (which is how a 10% discount is calculated), and the price after the discount is x minus the discount. So the equation to solve is x - 0.10x = $4.50.

Simplify this equation to find x:
0.90x = $4.50.
Now, divide both sides of the equation by 0.90 to find x:
x = $4.50 / 0.90.
x = $5.00.

Therefore, the original price of the box of granola bars before the 10% discount was $5.00.

Answer:

Substitute, y = -3 and x = k on the equation.

=> k - 2×(-3) = -2

=> k = -2 + (-6)

=> k = - 8

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

Any Doubts? Please COMMENT

The required value of the k is -8 for which the point (-8, -3) line on the equation of the line.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Point (k, -3) lies on the line whose equation is x-2y=-2.
Put x = k and y = -3 in the given equation of the line,

k - 2 (-3) = -2
k = -2 -6
k = -8

Thus, the required value of the k is -8 for which the point (-8, -3) line on the equation of the line.

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Answer:I believe it is 20

Answer:

The answer is B: False

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Answer:

B receives 62000 votes

C receives 47000 votes

Step-by-step explanation:

Let C be the vote for candidate C

Let B be the vote for candidates D

Let the total vote be T. Therefore,

C + B = T (1)

But C receives 15000 votes fewer than B ie

C = B —15000 (2)

Total votes, T = 109000

Substituting the value of C and T into equation 1

C + B = T

B — 15000 + B = 109000

Collect like terms

B + B = 109000 + 15000

2B = 124000

Divide both side by the coefficient B i.e 2

B = 124000/2

B = 62000

Putting the value of B into equation 2;

C = B —15000

But B = 62000

C = 62000 — 15000

C = 47000

B receives 62000 votes

C receives 47000 votes

The mean weight of the containers on the ship is found by adding the total weight of all the containers (270 tons) and dividing by the total number of containers (60), giving a mean of 4.5 tons per container.

In this problem, we are asked to find the mean weight of the containers on a ship. The mean is the average value of a set of numbers, found by adding all the numbers together and then dividing by the quantity of numbers.

First, let's compute the total weight of all the containers. The weight of the 30 small containers are 30 containers * 3 tons each = 90 tons. The weight of the 20 medium containers are 20 containers * 5 tons each =  100 tons. The weight of the 10 large containers are 10 containers * 8 tons each = 80 tons.

So, the total weight of all the containers is 90 tons + 100 tons + 80 tons = 270 tons. And the total number of containers is 30 + 20 + 10 = 60 containers.

So, the mean weight of the containers is 270 tons Total Weight / 60 = 4.5 tons/container. So, the mean weight of the containers on the ship is 4.5 tons.

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Answer:

a=4h

Steps:

4h=a swap the sides

a=4h

So , a=4h

Answer:

Yes, 10xyz^3 is a monomial.

Step-by-step explanation:

A monomial is an algebraic expression consisting of one term that can have multiple variables of different degrees within.

Answer:

[tex]\dfrac{3}{8}\text{ foot}<x<\dfrac{3}{4}\text{ foot}[/tex]

Step-by-step explanation:

We are given the following in the question:

There are three pieces of a wood.

Length of longest piece =

[tex]\dfrac{3}{4}\text{ foot}[/tex]

Length of shortest piece =

[tex]\dfrac{3}{8}\text{ foot}[/tex]

Let x be the length of the third piece.

Since the length of third piece lies between the length of the longest and the shortest piece of wood, thus, we use the following inequality to represent the length of the third piece.

Inequality:

[tex]\dfrac{3}{8}\text{ foot}<x<\dfrac{3}{4}\text{ foot}[/tex]

Answer:

The answer is C

B is reflection over the y-axis

Step-by-step explanation:

C. L’(4, 4), M’(7, 11), and N’(1, 11) are the coordinates of the vertices of the final image.

B is a reflection over the y-axis

Any point (x, y, z) can consequently be written as a sum of factors at the parallelepiped with one vertex on the origin. on this coordinate gadget, we are able to outline the unit cube with the 8 corner points classified (zero, zero, zero), (1, zero, zero), (1, 1, 0), (0, 1, 0), (zero, zero, 1), (1, 0, 1), (1, 1, 1), and (0, 1, 1).

The coordinates of the vertices of a triangle are (x2,y2) and (x3,y3). the line becoming a member of the primary is divided in the ratio l: okay and the road becoming a member of this point of the department to the opposite angular point is then divided by the ratio m:k + l.

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Answer:

top is wrong my teacher told me the answer its

349.67

Maricela's monthly payment for the loan using the monthly payment formula is; $349.67

We are given;

Principal; P = $18000

Interest Rate; r = 6.2% = 0.062

Number of years; t = 5 years

The formula to find the monthly payment is;

M = P[(r/n) * (1 + (r/n))^(nt)]/[((1 + (r/n))^(nt)) - 1]

Plugging in the relevant values gives;

M = 18000[(0.062/12) * (1 + (0.062/12))^(12 * 5)]/[((1 + (0.062/12))^(12 * 5)) - 1]

Solving this with a calculator gives us;

M = $349.67

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Answer:

Kendra is watching over 5 children. She wants to be sure that they each have an even number of apple slices. There are 35 apple slices total. She wants to take 35 and put it equally into 5 groups.

Your equation would be 5s=35, where s would be the total amount of apple slices on each plate.

To solve this equation you would divide both sides by 5 to get 7. s=7 (35/5=7)

Each quintuplet would be 7 apple slices.

Hope this helps ;)

Answer:

Step-by-step explanation:

48

Answer:

Both terms have a common factor of 2^15

Step-by-step explanation:

Make use of prime factorizations:

16^5+2^15=(2^4)^5+2^15=2^20+2^15

Both terms have a common factor of 2^15.

16^5+2^15=2^15(2^5+1)=2^15 x 33

The term [tex]16^5+2^{15}[/tex] is divisible by 33

We have to given  [tex]16^5+2^{15}[/tex] is divisible by 33.

Prime factorization is a way of expressing a number as a product of its prime factors

Make use of prime factorization

[tex]16^5+2^{15}=(2^4)^5+2^{15}[/tex]

           [tex]=2^{20}+2^{15}[/tex]

factor out the term [tex]2^{15}[/tex] we get,

[tex]16^5+2^{15}=2^{15}(2^5+1)=2^{15} * 33[/tex]

Therefore the term [tex]16^5+2^{15}[/tex] is divisible by 33

Hence proved.

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Final answer:

To find the minimum value of C given the constraints, one must plot these constraints, find the feasible region's vertices, evaluate C at each vertex, and select the minimum value obtained. The minimum value of C = 4x + 3y, given the constraints and the corrected understanding of them, is 29.

Explanation:

To find the minimum value of C = 4x + 3y subject to the given constraints, we need to first correct the constraints provided, as it seems there might be a misunderstanding in how they were presented. Assuming the constraints meant to be:

1. [tex]\(x \geq 0\)[/tex]

2. [tex]\(y \geq 0\)[/tex]

3. [tex]\(2x + 3y \geq 6\)[/tex]

4.[tex]\(3x - 2y = 9\)[/tex]

5.[tex]\(x + 5y = 20\)[/tex]

We will solve the system of equations (4) and (5) to find the values of x and y that satisfy these conditions, and then we will check if these values satisfy all other constraints including (3). If they do, we'll use these values to find C.

Solving the equations simultaneously:

From equation (4): 3x - 2y = 9

From equation (5): x + 5y = 20

Multiplying equation (5) by 3 to eliminate x, we get:

3(x + 5y) = 3(20)

3x + 15y = 60

Now, subtract equation (4) from this result to eliminate x:

3x + 15y - (3x - 2y) = 60 - 9

3x + 15y - 3x + 2y = 51

17y = 51

y = 3

Substitute y = 3 into equation (5) to find x:

x + 5(3) = 20

x + 15 = 20

x = 5

Now, check if [tex]\(x = 5\) and \(y = 3\) satisfy the constraint \(2x + 3y \geq 6\):[/tex]

[tex]\[2(5) + 3(3) \geq 6\][/tex]

[tex]\[10 + 9 \geq 6\][/tex]

[tex]\[19 \geq 6\] - This is true.[/tex]

Since x = 5 and y = 3 satisfy all the constraints, we can calculate \(C\):

C = 4x + 3y

C = 4(5) + 3(3)

C = 20 + 9

C = 29

Therefore, the minimum value of C = 4x + 3y, given the constraints and the corrected understanding of them, is 29.

Answer:

1/16

Step-by-step explanation:

Each coin flip is an independent event so the probabilities are independent

P(T,H,T,H) = P(T) P(H)  P(T) P(H)

                  = 1/2 * 1/2 * 1/2 * 1/2

                   = 1/16

Answer:

Volume of the Square pyramid [tex]=378.27 Feet^3[/tex]

Step-by-step explanation:

A Square pyramid is the pyramid whose base is in the shape of a Square.

Volume of a Square Pyramid:

                     [tex]BASE*BASE*\frac{HEIGHT}{3}[/tex]

[tex]Base= 9 feet[/tex]      and    

[tex]Height= 14 feet[/tex]

Volume of the square Pyramid:

                                                 =[tex]9*9*\frac{14}{3}[/tex]

                                               [tex]=81*4.67[/tex]

                                            [tex]=378.27 Feet^3[/tex]

The volume of the Square pyramid [tex]=378.27 Feet^3[/tex]