A furnace operates at 2,300°F. Before it can be used to extract metal from an ore, the temperature must be raised to 3,600°F. This takes place at a rate of 250°F per quarter hour. Write an equation that gives the furnace temperature, T, after, q, quarter hours.

Answer:

1a) 25, 1b) 3, 2a) 14, 2b) 4

Step-by-step explanation:

1a)

x/5 + 10 = 15

Subtract 10 from both sides:

x/5 = 15 - 10

x/5 = 5

Multiply both sides by 5:

x = 5 * 5

x = 25

1b)

25x + 26 = 101

Subtract 26 from both sides:

25x = 101 - 26

25x = 75

Divide both sides by 25:

x = 75/25

x = 3

2a)

Four less than a number is 10.

Let's call the number x. This means:

x - 4 = 10

Now add 4 to both sides:

x = 10 + 4

x = 14

2b)

The product of three and a number equals 12.

Let's call the number x. This means:

3 * x = 12

Now divide both sides by 3:

x = 12/3

x = 4

Answer:

p = 3

Step-by-step explanation:

5p+8 = 7p+2 (subtract boths sides by 2 and 5p)

6 = 2p (Divide both sides by 2)

p = 3

Answer:

p=3 hoped this helped........

tyler has 4 sandwichs he wants to cut each sandwich into halves how many 1/2 size pieces will he have

[tex]4 \div \frac{1}{2} [/tex]

[tex] = 4 \times \frac{2}{1} [/tex]

[tex] = \frac{8}{1} [/tex]

[tex] = 8[/tex]

[tex]8 \times \frac{1}{2} [/tex]

[tex] = 4 \times \frac{1}{1} [/tex]

[tex] = \frac{4}{1} [/tex]

[tex] = 4[/tex]

8 pieces

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answer : r = y - 28 / 12

explanation :

y - 28 = 12r

y - 28 / 12 = r

switch sides ^

r = y - 28 / 12

Answer:

x=3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

From the Pythagorean Theorem

side^2 = 40^2 -32^2

side^2 = 576

side = 24 inches

Step-by-step explanation:

Answer:

your answer is correct -7,-2

Step-by-step explanation:

Answer: the last one

Step-by-step explanation: the negitive sign gets switched

Answer:

X=4 and y=4

Step-by-step explanation:

Equate the corresponding coordinate and solves it simultaneously

Answer:

the answer is =7.6n+0.8

Step-by-step explanation:

hoped I helped

Answer:

$1.10

Step-by-step explanation:

order of $49 would result in a $7.35 shipping charge (49 x .15)

order of $50 would result in a $6.25 shipping charge (50 x .125)

difference is $1.10

The company will charge $1.1 for shipping on a $49 order than on a $50 order.

Given is a clothing company charges a 15% shipping fee on orders under $50 and a 12.5% shipping charge on orders of $50 or more.

Now, for $49, the shipping charge will be -

[x] = 15% of 49

[x] = (15/100) x 49

[x] = 7.35

now -

[y] = 12.5% of 50

[y] = (12.5/100) x 50

[y] = 6.25

Now -

[x] - [y] = 7.35 - 6.25 = $1.1

Therefore, the company will charge $1.1 for shipping on a $49 order than on a $50 order.

To solve more questions on equations, expressions and polynomials, visit the link below -

https://brainly.com/question/17421223

#SPJ2

Answer:

46.6

Step-by-step explanation:

have a good day

1036  genetically altered spiders

Step-by-step explanation:

Kl²=JL²-JK²=144-49=95

KL=√95

KL×KJ/2=JL×KM/2

KM=7√95/12

JM²=JK²-KM²

JM=49/12

Answer:

is there a part of the question missing/

Step-by-step explanation:

Answer: y=2x+6

Step-by-step explanation:

Answer:

As this question is incomplete, but we will try to solve this question by adding our own data to understand the concept of the problem.

Explanation is given below

Step-by-step explanation:

As this question is incomplete, but we will try to solve this question by adding our own data to understand the concept of the problem.

In order to answer this question we need to have the dimensions of the box.

Let's suppose there are 6 outside surfaces of the box and are equal in dimension including the bottom side which Jan wants to varnish.

So,

Let's suppose,

Surface area of the cube = 6[tex]a^{2}[/tex]

Here, Surface area = 275 square inch

Surface area of the cube = 6[tex]a^{2}[/tex] = 275 square inch

[tex]a^{2}[/tex] = 275/6 = 45.833

a = [tex]\sqrt{45.833}[/tex]

a = 6.77 inches

Now, for the amount of the varnish, we need the spreading rate of the varnish to be used on the box,

Let's suppose it is = 11 square incher per litre.

So,

Required Varnish = Surface area / Spreading rate

Required varnish = 275 / 11

Required varnish = 25 liters

If the 1 container of varnish contains 25 liters then it will be sufficient to protest the outside surfaces of the box.

Answer:

Substituting for a Variable

If you know the value that the variable is equal to, you can substitute that value in for the variable in the expression! Let's look at an example. Since we know that x=5, we can directly substitute or replace the x in the expression x+3 with a 5 to solve for y!

Step-by-step explanation:

I hope this kinda helps

9514 1404 393

Answer:

  36

Step-by-step explanation:

"Varies directly" means the relationship is proportional:

  y/9 = 16/4

  y = 9·16/4 = 36

The value of y is 36 when x = 9.

Answer:

Scalene right triangle is the triangle with all 3 sides are not equal with each other and makes 90° at one of the angle.

Scalene obtuse triangle is the triangle with all 3 sides are not equal with each other and makes one angle more than 90° at one of the angle.

Isosceles Acute triangle is the triangle with all 2 sides  and makes one angle less than 90° at one of the angle.

Scalene Acute triangle is the triangle with all 3 sides are not equal with each other and makes one angle less than 90° at one of the angle.

equilateral triangle triangle is the triangle whose all 3 sides are equal with each other and makes angle of 60°.

Isosceles obtuse triangle is the triangle with all 2 sides are equal  and makes one angle more than 90° at one of the angle.

Isosceles right triangle is the triangle with all 2 sides are  equal  and makes 90° at one of the angle.

Answer:

D.

Step-by-step explanation:

The range of a function is the set of all y-coordinates of the points of the function.

The smallest y-coordinate is 1. Then the y-coordinates increase all the way to infinity.

y >= 1

Answer: D.

Answer:

D. y ≥ 1

General Formulas and Concepts:

Math

Algebra I

Step-by-step explanation:

According to the graph, the line's y-value spans from 1 to infinity. Since 1 is a closed dot (included in the graph), it is inclusive in the range:

[-1, ∞) or y ≥ 1

Answer:

Each computer needs 3/2, or 1.5 feet of cable

Step-by-step explanation:

Firstly, we need to divide 4 1/2 by 3

Then we can make 4 1/2 an improper fraction.

We will also multiply 4 by 2 and then add 1

= 8 + 1

= 9

But;

9/2 = 4 1/2

In order to divide 9/2 by 3/1, we will change 3/1 to 1/3 and then multiply

= 9/2 × 1/3

= 9/6

= 3/2 or 1.5

Therefore, each computer needs 3/2, or 1.5 feet of cable.

Answer:

a. x(1.25) > $35

b. 45(1.25) = 56.25. Yes you should buy the monthly pass opposed to paying $1.25 each time you ride the subway.

Step-by-step explanation:

a. x = (number of subway rides) 1.25 = (cost per subway ride)  

> = the cost of paying individual subway rides surpasses the cost of the monthly pass therefore making it a better deal.

b. If you ride the subway 45 times, 45 x 1.25 = 56.25 which is $21.25 more than the $35 monthly subway pass, which makes the monthly pass more practical.

Answer:

someone please answer

Step-by-step explanation:

I need this too

Answer:

1/3

Step-by-step explanation:

She has 18 ribbons in total and she has 6 pink ribbons so she has a 6/18 chance or 1/3 chance of pulling a pink ribbon

Answer:

15

Step-by-step explanation:

15÷3=5

15 is between 10 and 20

Answer: 15

Step-by-step explanation: 15 can be divided by 3

Answer:

− 2 a 4 − 5 a + 1

Step-by-step explanation:

Answer:

-2a^4 - 5a +1

Step-by-step explanation:

I dunno if this is right but i got this.

Answer:

(i) (x + 3) is a factor of p(x)= x⁴ + 4x³ + 4x² + 4x + 3 and the remaining factors are (x + 1) and ( x²  +  1).

(ii) (x + 1) is not a factor of p(x)= 2x⁴ - 5x² - 2 and the remainder is -5.

Step-by-step explanation:

(i) Given;

Polynomial, p(x)= x⁴ + 4x³ + 4x² + 4x + 3

Factor, = x + 3

            x = -3

if (x + 3) is a factor of the polynomial, then p(-3) = 0

p(-3) = (-3)⁴ + 4(-3)³ + 4(-3)² + 4(-3) + 3

        = 81 -108 + 36 - 12 + 3

        = 0

(x + 3) is a factor of the given polynomial and the remainder is 0.

The remaining factors can be obtained as follows;

               x³  +  x² + x + 1

            --------------------------------

x + 3 √x⁴ + 4x³ + 4x² + 4x + 3

        - ( x⁴  + 3x³)

          --------------------------------

                    x³ +  4x² + 4x + 3

                   -(x³  + 3x²)

          ----------------------------------

                            x² + 4x + 3

                          -(x²  + 3x)

         ---------------------------------------

                                     x + 3

                                   -(x + 3)

           ---------------------------------------

                                          0

 Further divide x³  +  x² + x + 1  by x + 1

                      x²  +  1

                    ---------------------

        x + 1 √x³  +  x² + x + 1

                 -(x³  +  x²)

                  ------------------------

                                   x +  1  

                                 -( x  + 1)

                             -----------------

                                      0              

Thus, the factors of  x⁴ + 4x³ + 4x² + 4x + 3 = (x + 3)(x + 1)( x²  +  1)

(ii) Given;

Polynomial, p(x)= 2x⁴ - 5x² - 2

Factor, = x + 1

            x = -1

if (x + 1) is a factor of the polynomial, then p(-1) = 0

p(-1) = 2(-1)⁴  - 5(-1)² - 2

       = 2 - 5 - 2

       = -5

Thus, (x + 1) is not a factor of the given polynomial and the remainder is -5.