On Monday, your bank account balance was −$12.92. Because you didn't realize this, you wrote a check for $30.41 for groceries. What is the new balance in your account?

To covert a fraction to it's simplest form we need to divide their numerator and denominator with the same number .

= 16/40

= 16 ÷ 4 / 40 ÷ 4

= 4/10

= 4 ÷ 2 / 10 ÷ 2

= 2/5

Since both the numerator and denominator dont have a common factor , we can say that they are in their simplest form .

Therefore , the fraction 16/40 = 2/5

Answer:

t = 1.5 s and s(t) = 36 feet

Step-by-step explanation:

The height reached by an object as a function of time t is given by :

[tex]s(t)= -16t^2+48t[/tex] ...(1)

t is in seconds

To find the maximum height, put [tex]\dfrac{dh}{dt}=0[/tex]

[tex]\dfrac{d( -16t^2+48t)}{dt}=0\\\\-32t+48=0\\\\t=\dfrac{48}{32}\\\\t=1.5\ s[/tex]

It will take 1.5 seconds to reach its maximum height.

Put t = 1.5 s in equation (1), such that,

[tex]s(1.5)= -16(1.5)^2+48(1.5)\\\\s(t)=36\ \text{feet}[/tex]

The maximum height reached by the object is 36 feet.

Answer:

y=2/3x - 6

Step-by-step explanation:

use the formula y=mx+b. the m of this equation is equal to the slope and you know that the slope is 2/3. the b of the equation is equal to the y-intercept so, to find b you simply look at the points given. the points are written in (x,y) form so if -14 is x, -6 must be y. remember to KEEP CHANGE CHANGE your signs so that plus sign becomes negative 6. Hope this helps!

Answer:

1. X= 1/3 z -1

2. X= 1/3z + -2/3

Step-by-step explanation:

z=3x+3

Step 1: Flip the equation.

3x+3=z

Step 2: Add -3 to both sides.

3x+3+−3=z+−3

3x=z−3

Step 3: Divide both sides by 3.

3x/3 = z-3/3

Step 1: Flip the equation.

3r+2=z

Step 2: Add -2 to both sides.

3r+2+−2=z+−2

3r=z−2

Step 3: Divide both sides by 3.

3r/ 3 = z-2/3

Answer:

86400

Step-by-step explanation:

Answer:

x=-3

Step-by-step explanation:

I hope this help.

Answer:

14/16

Step-by-step explanation:

If you multiply 8 by 2 you get 16 so multiply 7 by 2 and you get 14/16

Answer: 3.66666667

Step-by-step explanation:

Answer:

a) root77

b) 2 root77 / ~17.55 cm^2

Step-by-step explanation:

a) by using Pythagorean Theroem,

a^2 + b^2 = c^2

2^2 + b^2 = 9^2

4 + b^2 = 81

81 - 4 = b^2

77 = b^2

root77 = b

b) 1/2bh is the quation for area thus,

area = 1/2 ( 4 ) ( root77)

area = 2 root77

or area = ~17.55 cm^2

h = [tex]\sqrt{77}[/tex]

A =[tex]2\sqrt{77}[/tex]

Rules for solving this problem:

Isosceles triangle rules

Because of isosceles being made up of two right triangles; using the pythagorean theorem we can deduce that

Area of a triangle

Step 1 - Find the height

[tex]h =\sqrt{9^2 - ((1/2)AC)^2} = \sqrt{9^2 - ((1/2)~4)^2} = \sqrt{9^2 - 2^2} = \sqrt{81-4} = \sqrt {77}[/tex]

Step 2 - Find the area

[tex]A = \frac{1}{2}bh = (\frac{1}{2})(4)(\sqrt{77}) = 2 \sqrt{77}[/tex]

Hope this helps,

  - J.M.Jamon

        Pennsylvania State University

        Full-time B.S.CE. undergrad student

Answer:

[tex]a) 8y = 32.\\b)14-2y = 6.[/tex]

[tex]the \: right \: expression \: for \\ 3 \: is \: less \: than \: y \: is \: less \: than \: 7 \: is \\ 3 < y < 7. \\ then \\ y \: can \: be \: any \: value \: form \: (4 \: to \: 6). \\ so \: if \: y = 4. \\ then \\ 8y = 8 \times 4= 32. \\ and \\ 14 - 2y = 14 - 2 \times 4 = 6.[/tex]

The maximum and minimum value of the expressions are -

1 - 8y              Max [1] = 48              Min [1] = 32

2 - 14 - 2y           Max [2] = 6                  Min [2] = 2

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Given is that 3 is less than y is less then 7.

We can write the inequality -

3 < y < 7

Expression 1 : 8y

Maximum value of the expression = Max [1] = 48

Minimum value of the expression = Min [1] = 32

Expression 1 : 14 - 2y

Maximum value of the expression = Max [2] = 14 - 2 x 4 = 14 - 8 = 6

Minimum value of the expression = Min [2] = 14 - 2 x 6 = 14 - 12 = 2

Therefore, the maximum and minimum value of the expressions are -

1 - 8y              Max [1] = 48              Min [1] = 32

2 - 14 - 2y           Max [2] = 6                  Min [2] = 2

To solve more questions on Evaluating experience, visit the link below-

https://brainly.com/question/11903485

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Answer:

there i tried :)

Step-by-step explanation:

Answer:

He had a different number of points above the line of best fit than below the line of best fit.

Step-by-step explanation:

This is the best likely answer to the question about Peter's attempt to use divide-center method to find the line of best fit on a scatterplot.

Answer:

a: He had a different number of points to the left of the vertical line than to the right of the vertical line.

Step-by-step explanation:

edg2021

Answer:

700 calories

Step-by-step explanation:

I hope this helps!

Answer:

I think 10 km.

Please mark as brainliest.

Answer: 10 kilometers

10 kilometers is about 38,500 feet. This is the average altitude an average commercial plane should fly. The answer to this question is D, 10 kilometers.

Hope this helps!

Answer:

yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

The greater a decimal is, the closer it is to one whole. The smaller a decimal is the farther it is from one whole. The first thing you need to look at is the digit number in each decimal. These each have two digits in them, so you can compare them right away.

6 - x > 9

hope this helps! :):):):)

Answer:

15 is the diameter and 7.5 is the radius

Step-by-step explanation:

The radius is the half of the diameter hehe boi

(4x+2+x^2-1)(-4)=(x^2+4x+1)(-4)=(-4)^2+4(-4)+1

=16-16+1

=1

Answer:

(x,y)= (4,1)

Step-by-step explanation:

Step-by-step explanation:

Solving a triangle means finding all unknown sides and angles.

For example, in #9, the third angle is 180° − 81° − 59° = 40°.

Using law of sines, the other two sides are:

a / sin 59° = 15 / sin 40°

a = 20.0

b / sin 81° = 15 / sin 40°

b = 23.0

Answer

1.20+0.80d ≥ 4.00 is the equation. If you are trying to solve for the minimum of donuts she needs to buy so it is over $4.00, then it is 4

Step-by-step explanation:

So in the problem we know she already has bought one bottle of orange juice and needs to buy a certain amount of donuts but we know they are each 0.80 so that will become 0.80d. The 1.20 + 0.80d have to be greater than or equal to 4.00 so she can pay with the debit card and that is why we put the ≥ symbol.

Answer:

.80 × 4 =$3.20

orange juice is $1.20

d =.80×4 +1.20

d=$4.40

Answer:

C, 55c + 70x  ≥ 750

Step-by-step explanation:

He needs a minimum of $750.

The equation 55c + 70x 750 can be used to calculate how many of each he needs detail in order to make at least $750. The right answer is A.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Given that,

Number of cars = c

Number of SUVs = x

Amount paid for detailed car = $55

Amount paid for detailed SUV = $70

Cost of coolest cellphone = $750

The inequality for the given data will be written as below,

(Amount paid for detailed car × Number of cars) + (Amount paid for detailed SUV × Number of SUV) ≤ Cost of coolest cellphone

55c + 70x ≤ 750

Therefore, the equation 55c + 70x 750 can be used to calculate how many of each he needs detail in order to make at least $750. The right answer is A.

Learn more about inequality:

brainly.com/question/25275758

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Answer:

Step-by-step explanation:

1) x + 65 = 90

           x = 90 -65

           x = 25

2) x + 51 = 180    {Linear Pair}

         x = 180 - 51

         x = 129

3)  y = 107    {Vertically opposite angles are equal}

    x + 107 = 180   {linear pair}

             x = 180 - 107

             x = 73

z = x    {Vertically opposite angles are equal}

z = 73

4) If sum of two angles is 180,, then they are called supplementary.

one angle = 13

It's supplement = 180 - 13

                         = 167

5)  If sum of two angles is 90, then they are called complementary.

one angle = 38

It's complement = 90 - 38

                         = 52

6) ∠1 + ∠2 = 180

5x + 9 + 3x +11 = 180  {Combine like terms}

 8x + 20  = 180

            8x = 180 -20

            8x = 160

              x= 160/8

x = 20

∠1 = 5x + 9

   = 5*20 +9

   = 100+9

    = 109

∠2 = 3x +11

    = 3*20 +11

   = 60 +11

   = 71

7) Vertically opposite angles are equal

            ∠2 = ∠2 1

  20x - 14  = 17x + 1

20x - 17x -14 = 1

         3x - 14 = 1

               3x =1 +14

              3x = 15

                x = 15/3

               x = 5

∠2 = 20x - 14

     = 20*5 - 14

    = 100 - 14

   =  86

8) ∠K + ∠L = 90

3x +3 + 10x - 4 = 90   {Combine like terms}

            13x  -1 = 90

                 13x = 90 + 1    

                     x = 91/13

                     x = 7

∠K = 3x + 3

    = 3*7 + 3

    = 21 +3

    = 24

∠L =  10x - 4

    = 10*7 -4

    = 70 - 4

    =   66

Answer:

the slope is -3/5

Step-by-step explanation:

did it help