Can someone explain to me why this is supposed to be 21 and not -21

Answer:

Step-by-step explanation:

There could be two scenarios:

1. Three friends share the pizza and pay equally. The price is then:

2. Three friends share the pizza that Martha paid for. The price is then:

Answer:

[tex] y = \frac{w - x^2}{-2z} [/tex]

Step-by-step explanation:

Given:

w = x² - 2yz

Required:

Solve for y

Solution:

[tex] w = x^2 - 2yz [/tex]

Subtract x^2 from not sides

[tex] w - x^2 = - 2yz [/tex]

Divide not sides by -2z

[tex] \frac{w - x^2}{-2z} = \frac{-2yz}{-2z} [/tex]

[tex] \frac{w - x^2}{-2z} = y [/tex]

[tex] y = \frac{w - x^2}{-2z} [/tex]

Answer:

Let say the another number y

N×Y=94

Y=94/N

So the algebric expression is 94/N

Answer:

E X P L A N A T I O N, 3290R + Y = HIFEUDSGRF344TRG

Step-by-step explanation:

Answer:

v=6

Step-by-step explanation:

Just plug in the numbers u already know.

v²=8²+2*(-7)*2

V²=64-28

v²=36

v=√36

v=6

Answer:

1/2+1/2 + 0

= 1

Step-by-step explanation:

sin30° = 1/2

cos 60° = 1/2

tan 0° = 0

Answer:

11,44,83

Step-by-step explanation:

4y+7y+6=116(exterior angle is equal to sum of two opposite interior angle in traingle)

11y=116-6

y=110÷11=11

4y=4×11=44

7y+6=7×11+6=83

Answer:

the answer is c

Step-by-step explanation:

Three-fifths times a number is 15.

Answer:

The value of (2x+y) is 3.

Step-by-step explanation:

First, we have to find the values of x and y.

We have that:

x + 2y = 9, which also means that:

x = 9 - 2y

Replacing into the second equation, to find y:

[tex]3x - y = -8[/tex]

[tex]3(9 - 2y) - y = -8[/tex]

[tex]27 - 6y - y = -8[/tex]

[tex]7y = 35[/tex]

[tex]y = \frac{35}{7}[/tex]

[tex]y = 5[/tex]

Finding x:

[tex]x = 9 - 2y = 9 - 10 = -1[/tex]

What is the value of (2x+y)?

2(-1) + 5 = -2 + 5 = 3

The value of (2x+y) is 3.

Answer:

C=9

Step-by-step explanation:

A = πr^2

A = π 9

9

Step-by-step explanation:

lolekieieieieieooe EP of everything e

The multiplication of the given numbers is obtained as 0.43.

A number can be rounded to a certain place by looking at the number just after that place. If it is greater than or equal to 5, one is added otherwise it is kept as the same.

The given numbers are 1.34 and 0.32 respectively.

The multiplication of these numbers are given as follows,

1.34 × 0.32

= 0.4288

In order to round it to the nearest hundredth, look at the digit at the thousandth place.

Here, it is given as 8 which is greater than 5.

Thus, the required number is 0.43.

Hence, the required number obtained after the rounding to the nearest hundredth is given as 0.43.

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Answer:

 13x^2- 6x - 9

Step-by-step explanation:

Please use the word "subtraction" or "less ... " or similar.

8x^2+x-10 less -5x^2+7x+1 is

  8X^2 + x - 10

-(-5x^2+7x+ 1)

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

 13x^2- 6x - 9

Answer:

36 degrees

Step-by-step explanation:

Angles in a triangle add up to 180.

180-62-62=36

36 degrees

Step-by-step explanation:

Exact Form:

5/7

Decimal Form:

0.7142

Answer:

a = 3.333... (3 repeating) or 3 1/3

Step-by-step explanation:

Solve for a by simplifying both sides of the equation, then isolating the variable.

Answer:

yes

Step-by-step explanation:

Answer:

[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].

Step-by-step explanation:

According to the Mean Value Theorem, for all function that is differentiable over the interval [tex][a, b][/tex], there is at a value [tex]c[/tex] within the interval such that:

[tex]f'(c) = \frac{f(b)-f(a)}{b-a}[/tex] (1)

Where:

[tex]a[/tex], [tex]b[/tex] - Lower and upper bounds.

[tex]f(a)[/tex], [tex]f(b)[/tex] - Function evaluated at lower and upper bounds.

[tex]f'(c)[/tex] - First derivative of the function evaluated at [tex]c[/tex].

If we know that [tex]f(x) = \ln x^{3} = 3\cdot \ln x[/tex], [tex]f'(x) = \frac{3}{x}[/tex], [tex]a = 1[/tex] and [tex]b = e^{2}[/tex], then we find that:

[tex]\frac{3}{c} = \frac{3\cdot \ln e^{2}-3\cdot \ln 1}{e^{2}-1}[/tex]

[tex]\frac{3}{c} = \frac{6\cdot \ln e-3\cdot \ln 1 }{e^{2}-1 }[/tex]

[tex]\frac{3}{c} = \frac{6}{e^{2}-1}[/tex]

[tex]c = \frac{1}{2}\cdot (e^{2}-1)[/tex]

[tex]c \approx 3.195[/tex]

[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].

Answer:

C. 1/2(e^2-1)

Step-by-step explanation:

Edge AP Cal 2022

Answer:

D you divide

Step-by-step explanation:

The number sentence that shows how to find the number of blocks in each group is 52 ÷ 4.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that  there are 52 blocks in the groups below. Each group is the same size.

Therefore, to find the number of blocks in each group, we have to divide the number of blocks by group.

That is;

52 / 4 = 13

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Answer:

2.5 m/s

Step-by-step explanation:

10/4 gets the answer. it is just distance over time

Answer: 2.5 m/s

Step-by-step explanation:

Answer:

Step-by-step explanation:

x+(4x-8)+(x+8) = 180

x = 30

∠C = x+8 = 38°

height = 7sin38°

area =0.5·13·7sin38° ≅ 28.0126 cm²

Answer:

-48.89

Step-by-step explanation:

|5.74 + 2.89| – |16.20 + 41.32

|8.63| – |57.52|

= - 48.89

Answer:

Step-by-step explanation: Explanation:

If

L

,

H

and

W

represent the length, height and width of the prism, then the volume of the rectangular prism is :

V

=

L

.

H

.

W

............. (1)

Given :

V

=

x

3

+

11

x

2

+

20

x

−

32

;

............... (2)

W

=

(

x

−

1

)

;

H

=

(

x

+

8

)

.

Let

L

=

(

x

+

l

0

)

be the expression for the length, then the RHS of equation (1) becomes

L

.

H

.

W

=

(

x

−

l

0

)

(

x

+

8

)

(

x

−

1

)

,

=

(

x

+

l

0

)

(

x

2

+

7

x

−

8

)

=

(

x

+

l

0

)

(

x

2

+

7

x

−

8

)

=

x

3

+

(

7

+

l

0

)

x

2

+

(

7

l

0

−

8

)

x

−

8

l

0

..... (3)

Comparing this to the LHS of equation (1), we get the following set of equations to solve for

l

0

,

7

+

l

0

=

11

;

7

l

0

−

8

=

20

;

8

l

0

=

32

;

l

0

=

4

Therefore

L

=

(

x

+

4

)

Answer:

Option C) Infinitely many solutions is correct option.

Step-by-step explanation:

We need to solve the equation [tex]5x - 7x + 6 = -2(x - 3)[/tex] and find value of x

The equation can be solved using DMAS rule.

Solving:

[tex]5x - 7x + 6 = -2(x - 3)[/tex]

Multiply -2 with terms inside the bracket

[tex]5x - 7x + 6 = -2x +6[/tex]

Now, we will combine like terms. Like terms are those terms that have same variable. In our case 5x, -7x and -2x are like terms and 6,6 are like terms.

[tex]5x - 7x +2x=-6 +6\\7x-7x=-6+6\\0=0[/tex]

Solving the equation we get 0=0 it means that the solution will have infinitely many solutions, because it will be true for every value of x.

So, Option C) Infinitely many solutions is correct option.

Answer:

79°

Step-by-step explanation:

Line pu is a straight line meaning it has a measure of 180°.

37+34+30=101

180-101=79

Answer:

Yes the sample can be use to make inference

Step-by-step explanation:

The inference is possible if the conditions:

p*n > 10      and   q*n > 10

where p and q are the proportion probability of success and q = 1 - p

n is sample size

Then   p = 12 / 30  = 0,4         q =  1 - 0,4    q  =  0,6

And  p*n  =  0,4 * 30  = 12            12 > 10

And  q*n  = 0,6 * 30   = 18            18 > 10

Therefore with that sample the conditions to approximate the binomial distribution to a Normal distribution are met

To check the condition for inference with a one sample z-interval, we have to divide randomly selected member by total number of arts council.

No, the sample size is not less than 10% of the population size,

Given:

The total number of council member are 200.

The randomly selected members are 30 .

Calculate the ratio of randomly selected members and total number of council member.

[tex]\dfrac{n}{N}=\dfrac{30}{200}\\\dfrac{n}{N}=0.15\\\dfrac{n}{N}=0.15>0.10[/tex]

Thus, No, the sample size is not less than 10% of the population size.

Learn more about z-interval here:

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Answer:

-4,-5

Step-by-step explanation:

Looking at the system of equations, I can't see any way to add the equations together to eliminate a variable. So, I decided to use substitution. First, I created 2 new equations, x = -24 - 4y and Y=2X+3 by rewriting each equation to solve for x and y. Now, I can take one of these equations and insert it in the opposite equation and solve for a variable.

4(-24 - 4y) - 2y = -6

-96 -16y -2y = -6

-18y = 90

y = -5

Now, I can just insert this in one of my equations and solve for x, and get my solution, which gets me x = -4