I NEED HELP!!!
50 POINTS!!!

John has $595 in his possession.

An expression that has been created utilizing integers, constants, variables, and algebraic operations is known as an algebraic expression.

For instance, [tex]x^{2} + 2x + 2[/tex]

2x + 3

etc

The answer to the query is

John has the same amount of more money over Torrie as he has under Sonia.

Let's suppose it is $x since John has the same amount of money more than Torrie as he has less than Sonia.

Case 1

Actual amount that John has is $430 plus $x.

Case 2

Actual amount that John has is $760 less $x.

⇒ $430 + $x = $760 - $x

⇒ $2x = $330

⇒ $x = $165

John currently possesses $595 ($760 - $x) or ($430 + $x) in his possession.

John therefore has $595 in his bank account.

The amount of money that john has is $595

To learn more about algebraic expressions click the link provided

https://brainly.com/question/4344214

#SPJ10

The allegation that the proportion has increased from that of earlier studies is not supported by enough data.

Hypothesis test: A statistical hypothesis test is a method of statistical inference used to decide whether the data at hand sufficiently support a particular hypothesis. Hypothesis testing allows us to make probabilistic statements about population parameters

Let p represent the population percentage.

Then, Null hypothesis  : H₀:p=0.79

Alternative hypothesis : H₀:p>0.79

The hypothesis test is a right-tailed test because the alternative hypothesis is right-tailed.

Out of 200 high school seniors in this city, 162 intend to enroll in college, according to a random sampling.

Because n = 200 > 30 we must employ the z-test (otherwise we use t-test.)

p`=162/200=0.81

Population percentage test statistic:

[tex]z=(p`-p)/[/tex][tex]\sqrt{p`(1-p)/n[/tex]

[tex]z=(0.81-0.79)/\sqrt{0.81(1-0.81)/200}[/tex] =0.720984093915≈0.72

Consequently, the sample test statistic's z-value is 0.72.

Right-tailed test P-value:

[tex]p(z > 0.72)=1-p(\leq 0.72)[/tex]

≈[tex]1-0.7642375[/tex]

≈[tex]0.2357625[/tex]

≈[tex]0.2358[/tex]

We are unable to reject the null hypothesis since the p-value is higher than the threshold for significance (0.05).

Therefore, we draw the conclusion that the allegation that the proportion has increased from that of earlier studies is not supported by enough data.

To learn more about hypothesis test visit:

brainly.com/question/17099835

#SPJ4

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =135 \end{cases}\implies A=\cfrac{(135)\pi (8)^2}{360}\implies A=24\pi \implies A\approx 75.4[/tex]

Answer:

Step-by-step explanation:

Triangle ABC has two given angles: 105 degrees and 47 degrees. Because a triangle has a total of 180 degrees, then angle BCA has angle 180 - 105 - 47 = 28

Angle BCA and Angle CAE are alternative interior angles, meaning they are equal. Thus angle CAE should be 28 degrees

The value of y in the equation is 12.

What are internal angles of a triangle?
According to the alternate angle theorem, when a transversal cuts two parallel lines, the resulting alternate interior angles or alternate exterior angles are congruent.

BD falls on CE, thus angles dividing BD on CE will sum up to 180°.
Given ∠BDC = 4x - 5 and ∠BDE = 10y - 3
Thus, ∠BDC + ∠BDE = 180° ⇒ (4x - 5) + (10y - 3) = 180° - (i)
Therefore, rearranging (i), we get 4x + 10y = 188° -- (A)
Again, since alternate angles are equal, thus ∠BDC = ∠AEC
Thus, 4x - 5 = 97 - 2x ⇒ 6x = 102 ⇒ x = 102/6 = 17 --(ii)
From (A) and (ii), we get, 4(17) + 10y = 188 ⇒ 10y = 120 ⇒ y = 12
Therefore the value of y is 12.

To learn more about this, tap on the link below:
https://brainly.com/question/17228179

#SPJ9

Answer:

B

Explanation:

x = 5

2x + y = 10

Substitute x = 5 into 2x + y = 10

2(5) + y = 10

10 + y = 10

y = 0

Hence, coordinates are (5,0).

Answer:

the answer is 0

Step-by-step explanation:

a negative plus a positive is a positive

The equation of the function in standard form is  3x + y = 25.

What is a quadratic function?

f(x) = ax2 + bx + c, where a, b, and c are numbers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph. Although the "width" or "steepness" of a parabola can vary as well as its direction of opening, they all share the same fundamental "U" form.

From the given table we can get the dy/dx which is the slope (m) ,

Therefore,

dy/dx = (7 - 10 ) / ( 4 - 3 )

dy/dx = -3

Now,

( y - y1 ) = m ( x - x1 )

Putting the value from the table,

( y - 10 )  = -3 ( x -5 )

=> y - 10 = -3x + 15

=> 3x + y = 25

To learn more about slope click on the link below:

https://brainly.com/question/16949303

#SPJ9

Answer:

Y=3/4x-2

Step-by-step explanation:

Atleast I think so

Answer:

y=3/4x-2

Step-by-step explanation:

y=mx+b

Y= 3/4x-2 because you rise 3 run 4 and the line crosses the y-axis at the point (0, -2)

The number of cookies that she has when she reaches home is given by the following algebraic expression:

n = 15 + c.

The initial number of cookies that she has is given by:

30.

(as stated in the problem).

She gives half of that amount to her students, hence the number of cookies that she has remaining is:

0.5 x 30 = 15 cookies remaining.

(to find the half of an amount, we can either divide by 2 or multiply by 0.5).

Then, on her way home, she purchases c cookies, hence the total number of cookies that she has when she reaches home is given by the following expression:

15 + c.

(she had 15, and then c was added to that amount).

The problem is incomplete, hence we suppose that is asks for how many cookies she has when she reaches home.

More can be learned about algebraic expressions at https://brainly.com/question/4344214

#SPJ1

Answer:

I'm pretty sure the answer is 191/30 when simplified

Step-by-step explanation:

Yup

Answer: 58

Step-by-step explanation: you divide 290 into 5

Considering the definition of an inequality, an inequality that represent the possible values for the number of hotdogs purchased and the number of drinks purchased is 5h + 1.50d≤ 50.

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

An inequality contains one or more unknown values, in addition to certain known data.

In this case, you know that:

Being:

the inequality that expresses the previous relationship is

5h + 1.50d≤ 50

Learn more about inequality:

brainly.com/question/17578702

brainly.com/question/17122606

brainly.com/question/25275758

brainly.com/question/14361489

brainly.com/question/1462764

#SPJ1

Answer:

Minimum 7 early morning hours

Maximum 13 regular hours

Step-by-step explanation:

x: number of regular hours

y: number of early morning hours

i) x + y = 20

ii) 7x + 8.5y = 150

ii - 7i

1.5y = 10 --> y = 10/1.5 = 20/3 = 6 2/3

x + 20/3 = 20 --> x = 40/3 = 13 1/3

She could work a minimum of 7 hours in the early morning and a maximum of 13 regular hours.

Volume of boxes as per condition given:

a. Volume of fish food cube=(1/64) ft³

b. Volume of big box=(1/32)ft³

c. Volume of shipping box=(585/16) ft³

As given,

Dimensions of fish food cubes:

Length=1/4 ft

Width=1/4 ft

Height=1/4ft

a. Volume of fishing food cube=Length ×width ×height

                                                     =(1/4)×(1/4)×(1/4)

                                                     =(1/64)ft³

b. Volume of big box

=(Number of boxes) ×(volume of fishing food cubes)

=2×(1/64)

=(1/32)ft³

c. Dimensions of shipping box

Length=3ft

Width=3 3/4 ft

         =15/4 ft

height=3 1/4 ft

          =13/4 ft

Volume of shipping box=3 × (15/4) ×(13/4)

                                              =(585/16) ft³

Therefore, volume of boxes as per condition given:

a. Volume of fish food cube=(1/64) ft³

b. Volume of big box=(1/32)ft³

c. Volume of shipping box=(585/16) ft³

Learn more about volume here

brainly.com/question/1578538

#SPJ1

The government levies a consumption tax known as a sales tax on the purchase of goods and services.At the point of sale, a standard sales tax is imposed, collected by the shop, and paid to the government.

Calculate sales tax ?

   equation sales tax = purchase price x sales tax rate.

   Sales tax = $800*7.5%

         = $60

 To learn more about sales tax refer

https://brainly.com/question/9437038

 #SPJ13    

Answer:

x < 10

set builder notation: (-∞ , 10)

Step-by-step explanation:

2(x - 4) < 12

multiply left side out:

2x - 8 < 12

add 8 to both sides:

2x - 8 + 8 < 12 + 8

2x < 20

divide both sides by 2:

2x/2 < 20/2

x < 10

in set builder notation: (-∞ , 10)

The required probability is 0.132 .

What is normal approximation?

The sampling distribution of averages or proportions from a large number of independent trials approximately and the expectation of a sample proportion or average is the corresponding population value.

On solving using mean sampling method, we get

P(E) = 0.132

Hence, the required probability is 0.132 .

Learn more about approximation from the link

https://brainly.com/question/27278132

#SPJ4

Answer: n<= -2.25

Step-by-step explanation:

1) Lay the equation out

[tex]\frac{-n}{3} \geq 0.75[/tex]

2) Multiply 3 on both sides to leave n by itself.

[tex]-n \geq 0.75*3\\-n \geq 2.25\\\\[/tex]

3) Multiply -1 on both sides.

Note: Multiplying -1 will flip the sign.

[tex]n \leq 2.25*-1\\n\leq -2.25[/tex]

4) Answer

n<= -2.25

Answer:

Area of circle is 9π cm²

Step-by-step explanation:

- If area of the area of the square is 36 cm², the length of one side of a square can be found;

[tex]{ \rm{area \: of \: square = side \times side}} \\ { \rm{36 = {x}^{2} }} \\ { \rm{x = \sqrt{36} }} \\ { \rm{x = 6 \: cm}}[/tex]

- If you make a clear observation from the figure, length of a square corresponds to the diameter of a circle;

[tex]{ \rm{radius = \frac{1}{2} \times length \: of \: square }} \\ \\ { \rm{r = \frac{1}{2} x}} \\ \\ { \rm{r = \frac{1}{2} \times 6 }} \\ \\ { \rm{r = 3 \: cm}}[/tex]

- Therefore, let's find the area;

[tex]{ \rm{area = \pi {r}^{2} }} \\ { \rm{area = \pi {(3)}^{2} }} \\ { \rm{area = 9\pi \: {cm}^{2} }}[/tex]

[tex]{ \boxed{ \red{ \delta}}}{ \underline{ \mathfrak{ \: creed \: ...}}}[/tex]

Answer:

92F

Step-by-step explanation:

the record high January temperature in Austin, Texas, is 90F. the record low January temperature is -2F. Find the difference between the high and low temperatures.

= 90 - (-2)

= 90 + 2

= 92F

2+2 a very complicated math question 2+2 = 6 because there's two 2's so that gives us an extra 2 so the actual question is "what is 2 + 2 + 2"

so the answer to your question is 6

Answer:

the answer is 3/1

Step-by-step explanation:

u do 8-5/4-3 which is 3/1

Answer:

24°

Step-by-step explanation:

the interior angle of a triangle is 180°

therefore Let <ACB =x

128°+28°+x=180°

156°+x=180°

make x the subject

x=180°-156°

x=24°

The square root of 10 will be greater than 3.

The square root of a number is the value which when multiplied by itself results into the number. Mathematically -

n = x²

then -

x = [tex]\sqrt{n}[/tex]

Given are two numbers as -

[tex]\sqrt{10}[/tex] and 3.

Now, the square root of 10 will be 3.16 (approx.)

On comparing the square root of 10 with 3, we can clearly see that the square root of 10 will be greater than 3. Mathematically -

[tex]\sqrt{10}[/tex] > 3.

Therefore, we can conclude that the square root of 10 will be greater than 3.

To solve more questions on comparing numbers, visit the link below-

https://brainly.com/question/13763555

#SPJ1

D(ex) = ex = 1.ex + 0.xex + 0.x2ex

D(xex) = ex + x.ex = 1.ex + 1.xex + 0.x2ex

D(x2ex) = x2ex + 2x.ex = 0.ex + 2.xex + 1.x2ex

So the matrix is:

          1    0    0

A =     1     1    0

          0    2    1

Learn more about Matrix here:

brainly.com/question/13179750

#SPJ4

The bracelet price on which company get its maximum profit  is 8 thousand dollar

A rule or law that define an relationship between one variable to another variable

The company's annual profit (in thousands of dollars) as a function of the price of a bracelet (in dollars) is modeled by: P(x)=-2x^2+16x-24

To find maximum profit , we need to find out the vertex

x coordinate of vertex formula is -b/2a

P(x)= -2x^2 +16 x-24

a=-2  and b = 16

x= -b/2a= -16/2 x -2 = 4

Now we plug in 4 for x  and find out P(4)

P (x) = -2 x (4)^2 + 16 x 4 - 24 = 8

So the maximum profit the company can earn is 8 thousand dollars when price = $4

to know more about  function ,click here

https://brainly.com/question/28868477

#SPJ9

In order to depict alchemy and the philosopher's stone, which is the ultimate goal of alchemy, a sign of a circle within a square within a triangle within a larger circle started to be used in the 17th century.

What do the symbols for a circle, triangle, and square mean?

It has deep philosophy where a circle symbolizes heaven and represents number one, a square represents earth and represents number two, and a triangle represents people and represents number three.

An enduring representation of good fortune, the triangle enclosed within a circle was thought to stave off evil spirits. It was accepted by Alcoholics Anonymous as a symbol of a person's transition from an alcohol preoccupation to a life saturated with the triangle of Recovery, Unity, and Service.

To learn more about Alchemy refer to:

https://brainly.com/question/17199784

#SPJ13