When two times a number is subtracted from the square of the number, the result is 35. Determine the number(s) algebraically.

The answer is -5 or 7.

For this you have to come up with a equation and solve/simplify from there.

Please help, thank you.

Answer: - 63

Step-by-step explanation:

An arithmetic progression is such that the N-th element is equal to:

An = A1 + (n-1)*R

where A1 is the first term, and R is the difference between two consecutive terms.

We know that

A1 + 9*R = -37

and

A1 + (A1 + R) +  (A1 + 2R) +   (A1 + 3R) +  (A1 + 4R) +  (A1 + 5R) = -27

6*A1 + R(1 + 2 + 3 + 4 + 5) = -27

6*A1 + 15*R = -27

so we have two equations:

6*A1 + 15*R = -27

A1 + 9*R = -37

Let's find A1 and R.

First, isolate A1 in the second equation:

A1 = -37 - 9*R

now replace it in the other equation and solve it for R.

6*A1 + 15*R = -27

6*(-37 - 9*R) + 15*R = -27

-222 - 54*R + 15*R = -27

-39*R = -27 + 222 = 195

R = 195/-39 = -5

Now we can find the value of A1:

A1 = -37 - 9*R = -37 - 9*-5 = 8

So now we want to calculate the sum of the first eight terms. we already know that the sum of the first six is -27, so we need to add the seventh and the eigth.

A7 = 8 + 6*-5 = -17

A8 = 8 + 7*-5 = -22

Sum = -27 -17 - 22 = -63

Answer:

16. 15°

17. 40°

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

Find attached missing part of the question:

The option gpe is best when the contracted volume is below 31250  units

The option fms is best when the contracted volume is between 31,250 and 230,000  units ​

The option DM is best when contracted volume is above 230,000 units

Step-by-step explanation:

let x represent the volume produced in each of the three options:

Total cost(TC) =fixed cost+(variable per unit*x)

for general purpose equipment:

TC=125,000+18x equation 1

for flexible manufacturing system

TC=250,000+14x equation 2

for dedicated machine

TC=480,000+13x equation 3

if we set equations 1 and 2 together

125,000+18x=250,000+14x

If we equate equations 2 and 3 together

250,000+14x=480,000+13x

14x-13x=480,000-250,000

x=230,000

18x-14x=250,000-125,000

4x=125,000

divide both sides y 4

x=125,000/4=31250

Answer:

2,578 = 6X

Step-by-step explanation:

Given:

Total weight of honey collected = 2,578 ounce

Each jar hold honey = 6 ounce

Find:

Expression to estimate number of  jars can fill :

Computation:

Assume ,

Total number of jars can fill = X

So,

Total weight of honey collected  = Total number of jars × Each jar hold honey

2,578 = 6 × X

2,578 = 6X

Answer:

(4,1)

Step-by-step explanation:

3x + 4y = 16

-4x - 3y = -19

4( 3x + 4y = 16)

3( -4x - 3y = -19)

Distribute

12x + 16y = 64

-12x - 9y = -57

Now subtract both equations

7y = 7

/7 on both sides

y = 1

Substitute y = 1 in one of the equations.

3x + 4y = 16

3x + 4(1) = 16

-4 on both sides

3x = 12

/3 on both sides

x = 4

Answer:

x = 4

y = 1

Answer:

Step-by-step explanation:

7/12

no. of not prime number/ total no. of number

It is 34

First you have to order all of the number from least to greatest:

18 24 25 32 34 36 43 46 50

Then you cross out a number from each side, until you are left with the last number, which is the median. In this case your answer is 34.

Answer:

logan

Step-by-step explanation:

84 divided by 3 = 28

Answer: Logan

Step-by-step explanation:

Here the given table,

Student :       Murray             Kris            Logan          Taylor

Problem :        58                  78                84               92

Time(min) :       2                   3                    3                 4        

Therefore, Only Logan can solve the problem at the rate of 28 per minutes.

Answer:

The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles.

Step-by-step explanation:

Any prism has two bases.  Since we are talking about a rectangular prism and a triangular prism both must have two bases.

For example, a square prism has two bases and they are both square.

In this case a rectangular prism has two bases that are rectangles and a triangular prism also has two bases and both bases are triangles.

Note: For the figure to have only one base it must be called a pyramid.

Thus, the answer is:

The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles

Answer:

a

Step-by-step explanation:

These questions are some teacher's hairbrained idea that we can keep the students current on algebra while learning geometry.  While there are many ways to combine algebra and geometry, this way is awful.

Triangle angles add to 180 degrees. Geometry done.

Equation that models ...:

2x + 5 + 3x + 7 + 2x = 180

Solving,

7x + 12 = 180

7x = 168

x = 168/7 = 24

Answer: x=24

A=2x+5=2(24)+5= 53°

B = 3x+7 = 3(24) + 7 = 79°

C = 2x = 48°

Answer: A=53°, B=79°, C=48°

Answer:

When you divide by 10^3, the decimal point moves three places to the right. When you multiply by 0.001, the decimal point moves three places to the right. So, both equal .0777

Step-by-step explanation:

Answer:

MN ;K ;K ;K ;K

Step-by-step explanation:

Answerc

Step-by-step explanation:

Answer:

As we can observe,

F(1) = 567

F(2) = 189 = 567/3 = F(1)/3

F(3) = 63 = 189/3 = F(2)/3

=> F(4) = F(3)/3 = 63/3 = 21

Hope this helps!

:)

Answer:

21 then 7

Step-by-step explanation:

Answer:

0.01 %  

Step-by-step explanation:

Answer:

ttt

htt

tht

tth

hht

thh

hth

hhh

these are the possible outcomes of the three outcomes

so probability of hhh = 1/8

The probability that the coin lands with the heads side up on all 3 flips will be 1/8.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences. Then the probability is given as,

P = (Favorable event) / (Total event)

Esme intends to record the outcomes of each flip of a fair coin as she tosses it three times. The likelihood that the coin will fall with the heads side up on all three flips is then determined to be:

P = (1/2) x (1/2) x (1/2)

P = 1/8

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

Answer:

5200 ÷( 28 - 24)

= 5200 ÷ 4

= 1300 second

If the diameter of a circle is 6 units, it's radius would be half that, that is 3 units.

Circumference = [tex]2\pi r[/tex] = 2 x 3.14 x 3 = 18.84 units

Answer:

x = 7

y = 8

Step-by-step explanation:

Knowing that the mean is equal to the median, we can formulate the following equation:

⅕(4 + 6 + x + y + 10) = x

Simplifying it, we get:

y = 4x - 20

Now, we know that both x and y are between 6 and 10 and that y is greater than x;

Mathematically, we have the conditions:

6 =< x =< 10

6 =< y =< 10

y > x

If we apply the second condition, i.e. the restrictions on the y-values, we find that x has to be between 6.5 and 7.5, i.e. 6.5 =< x =< 7.5;

This means x has to 7 since it can only be a whole number and this is the only whole number between 6.5 and 7.5;

Once we know this, we can find y simply by subbing it into the equation formulated previously:

y = 4(7) - 20

y = 8

Answer:

17 minutes    i had this same answer and question 2day, so ur lucky.

Step-by-step explanation:

The initial solution most people will think of is to use the fastest person as an usher to guide everyone across. How long would that take? 10 + 1 + 7 + 1 + 2 = 21 mins. Is that it? No. That would make this question too simple even as a warm up question.

To reduce the amount of time, we should find a way for 10 and 7 to go together. If they cross together, then we need one of them to come back to get the others. That would not be ideal. How do we get around that? Maybe we can have 1 waiting on the other side to bring the torch back. Ahaa, we are getting closer. The fastest way to get 1 across and be back is to use 2 to usher 1 across. So let's put all this together.

1 and 2 go cross

2 comes back

7 and 10 go across

1 comes back

1 and 2 go across (done)

Total time = 2 + 2 + 10 + 1 + 2 = 17 mins

Answer:

17 minutes

Step-by-step explanation:

Let A be the person who takes 1 min,

B who takes 2 mins, C who takes 7 mins and D who takes 10 mins

A and B cross the river in 2 mins, A comes back in 1 min

C and D cross the river in 10 mins, B comes back in 2 mins

A and B cross the river in 2 mins

Total time:

2 + 1 + 10 + 2 + 2 = 17 minutes

Answer:

the percentage decrease in the number of accidents between 1950 and 1976 is (25.9)

Answer:

SA = 7.08 in²

Step-by-step explanation:

We can use the following method to solve the given problem

SA = 2B + LA

Where LA

LA = 4.72* 0.05* 15= 3.54

And

C = 2πr

Where

C = 4.72in

π = 3.14

Substituting, we have

4.72 = 2*3.14*r

Making r the subject of formula

r = 0.75in

Solve for the area of CD

A = πr²

Substituting the values we have

A = 3.14 *(0.75)²

A= 1.77 in²

Solving for surface area of the stack

SA = 2(1.77) + 3.54

SA = 7.08 in²

Answer:

180 in.

Step-by-step explanation:

12 in = 1 ft

15 × 12 = 180

Answer: Reduction

(0,0)

1/3

Step-by-step explanation:

Answer:

1-reduction

2-(0,0)

3-1/3

Step-by-step explanation:

Answer:

82.75 = 3.25r + 7.75

Step-by-step explanation:

$82.75 is the total money spent last month

$7.75 is the cost of a refillable mug

$3.25 is the cost for every refill

Answer: 40º

Step-by-step explanation:

To find angle c, not give 2 angles at least, we must use a trigonometric function. With respect to angle c, we can see that we have the opposite and adjacent sides.

The trigonometric function that relates opposite and adjacent sides is tangent.

[tex]tan=\frac{opposite}{adjacent}[/tex]

[tex]tan=\frac{21}{25}[/tex]

[tex]tan^-^1=40[/tex]

Answer:

Three questions for the equation 18 × y^3 :-

hope it helps!

Answer:

x+22

Step-by-step explanation:

you don't know what elevation you are on and you need to go up 22 feet more to the ledge above you.