Regina's teacher recently gave her a homework assignment on solving equations. Since she has been ti
she decided to use the assignment as an opportunity to model a savings plan.
She created this equation to model the situation. In it, y represents the total amount saved for the new
she has now, 40 is the amount of money she saves each month for the phone, and x represents the num
a regular amount:
74 + 40x=y.
She then solved the equation to determine how many months she'd need to save to have enough to pur
work, and select the error.
Justification
1: given
2: subtraction property of equality
3: simplification
4: multiplication property of equality
5: simplification
6: substitution, y = 834
7: simplification
Step 1:
Step 2:
Step 3:
Step 4:
74 + 40x=y
74 + 40x - 74 = y- 74
40x = y-74
40.5 y - 74
40 =
40
y - 74
X= 40
834 - 74
X = 40
Step 5:
Step 6:

Answer:

Written in Python

print("Enter three sides of a triangle: ")

length = []

for i in range(0,3):

    inp = int(input(""))

    length.append(inp)    

length.sort()

if length[1]+length[2] > length[0] and length[0] + length[2] > length[1] and length[0] + length[1] > length[2]:

    print("Triangle")

    if length[2]**2 == length[0]**2 + length[1] **2:

         print("Right Angled")

    else:

         print("Not Right Angled")

else:

    print("Not Triangle")

Step-by-step explanation:

This line prompts user for sides of triangle

print("Enter three sides of a triangle: ")

This line declares an empty list

length = []

The following iteration gets user input

for i in range(0,3):

    inp = int(input(""))

    length.append(inp)    

This line sorts user input

length.sort()

The following if condition checks if user input is triangle

if length[1]+length[2] > length[0] and length[0] + length[2] > length[1] and length[0] + length[1] > length[2]:

The following is executed is the if condition is true

    print("Triangle")

The following if condition checks if user input forms a right angled triangle

    if length[2]**2 == length[0]**2 + length[1] **2:

         print("Right Angled")

    else:

         print("Not Right Angled")

This is executed if user input is not a triangle

else:

    print("Not Triangle")

Answer:

288 cubic imches

Step-by-step explanation:

[tex]V_{cylinder} = Area \: of \: base \times height \\ \\ V_{cylinder} = 36 \times 8 \\ \\ V_{cylinder} = 288 \: {inches}^{3} [/tex]

Answer:

ahe using 12 feet of boards and threre 8 ft of board left so i guess the with will be 4.

Step-by-step explanation:

6+6 =12 for the lenghth

4+4=8= for the with

Answer:

m=4

m: 8

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

since both equations are set with a right angle, the equation must be equal to 90 degrees. So you set the equation as

13+x+4x+2=90

add the x variables together and the constants separately

15+5x=90

then subtract 15 from both sides.

15+5x=90

-15      -15

5x=75

then divide 5 from both sides.

75/5= 15

so x is 15 :).

Answer:

It shows a 90° angle split into 2 separate angles so,

[tex]13 + x + 4x + 2 = 90\\\\5x + 15 = 90\\\\5x = 75\\\\x = 15[/tex]

Basically, the total angle measure of the given angles [90°, (13 + x)°, and (4x + 2°) equals 180°. Take away 90 from 180 and you get 90, then solve for x using what's left: 13 + x + 4x + 2 = 90. You get x = 15.

Answer:

$2.22 i think

Step-by-step explanation:

Answer:

You would have $2.22 left.

Step-by-step explanation:

6.96 - (0.79 * 6)

6.96 - 4.74

2.22

Answer:

Step-by-step explanation:To combine two intervals using inequality notation or set-builder notation, we use the word “or.” As we saw in earlier examples, we use the union symbol, \displaystyle \cup∪, to combine two unconnected intervals. For example, the union of the sets \displaystyle \left\{2,3,5\right\}{2,3,5} and \displaystyle \left\{4,6\right\}{4,6} is the set \displaystyle \left\{2,3,4,5,6\right\}{2,3,4,5,6}. It is the set of all elements that belong to one or the other (or both) of the original two sets. For sets with a finite number of elements like these, the elements do not have to be listed in ascending order of numerical value. If the original two sets have some elements in common, those elements should be listed only once in the union set. For sets of real numbers on intervals, another example of a union is

Answer:

P [ β / Def]  = 0,6521     or      65,21 %

Step-by-step explanation:

Tree diagram:

0,20 (α)       Defective  0,02

0,50 (β)       defective   0,06

0,30 (γ)       defective    0,04

According to Baye´s Theorem

P [ A/B]  = P[A] * P [ B/A] / P[B]

if we call

β = A   and  Defective = B       then  P[β] = P[A]  and P[Defective] = P[B]

we get :

P [ β / Def]  = P[β] * P [ def./β] / P[def]

Then

P[β] = 0,5

P[def/β] = 0,06

P [Defective] = 0,02* 0,2 + 0,06*0,5 + 0,04*0,3

P [Defective] = 0,004 + 0,03 + 0,012

P [Defective] = 0,046

P [ β / Def]  = 0,5 * 0,06 / 0,046

P [ β / Def]  = 0,6521     or      65,21 %

Answer:

24 cups of sliced apples

Step-by-step explanation:

6 multiplied by 4=24

hope this helps

Answer:

-4x + 16y + 3xy

Step-by-step explanation:

The sum of 3x + 4y - 3xy and 5x + 3y - 2xy is 8x + 7y - 5xy.

The sum of 2x + y - 3xy and 10x - 9y - 8xy is 12x - 8y - 11xy.

Subtract the sum of the second pair from the first pair by changing the sign of the subtrahend. The result is -4x + 16y + 3xy

Answer:

2 and 1/3 ---->>> 2 1/3

Step-by-step explanation:

At 4, its 4 cm

Within 3 hours it has gained 7 cm

7/3=2.33333

2 1/3 would be the mixed number

can i get brainliest please?

Answer:  The percentage of parents who use cloth diapers in the sample is the statistic.

Step-by-step explanation:

Here, the concern is to estimate the percentage of parents who use cloth diapers.

He took a sample of 125 parents to enquiry whether or not they use cloth diapers.

So, the percentage of parents who use cloth diapers 9in the sampl is the statistic.

Answer: The percentage of parents who use cloth diapers in the sample is the statistic.

Answer:

A

Step-by-step explanation:

(-8,8) is the solution of the equation y=-5/4x-2.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equation is,

y=-5/4x-2,

To find solution for the given equation, solve with the help of options,

(A) (-8,8)

8=-5/4(-8)-2

8 = 10-2

8 = 8

(-8,8) is the solution of the equation

(B) (8,-8)

-8=-5/4(8)-2

-8 = -10-2

-8 = -12

(8,-8) can not be the solution of the equation.

(C) (-8,-12)

-12 = -5/4(-8)-2

-12 = 8

(-8,-12) can not be the solution of the equation.

(D) (1, −15/4)

-15/4 = -5/4(1)-2

-15/4 = -13/4

(1,--15/4) can not be the solution of the equation.

(-8,8) is the solution of the equation.

To know more about Equation on:

https://brainly.com/question/187506

#SPJ2

Complete Question

An analysis of several polls suggests that 60% of all Florida voters plan to vote for Anderson. A poll of 250 randomly selected Florida voters shows that 144 plan to vote for Anderson.

Required:

a. What is the probability of this result (i.e. 144 voters or less out of 250) happening by chance, assuming the aggregate poll model proportion of 60% is correct?

b. Does your result from part I indicate that the number of voters who plan to vote for Anderson has decreased? In other words, is this outcome unusual?(Recall that an unusual  event has a probability of 0.05 or less of occurring )

Answer:

a

[tex]P(p  <  \^p) =   0.2206[/tex]

b

It is not an unusual event

Step-by-step explanation:

From the question we are told that

    The population proportion is  p =  0.60

   The sample size is  n =  250

    The number that plans to vote for Anderson is  k =  144

Generally the mean of the sampling distribution is  

        [tex]\mu _{x} =  p =  0.60[/tex]

Generally the standard deviation is  

      [tex]\sigma  =  \sqrt{ \frac{p(1 - p )}{n} }[/tex]

=>    [tex]\sigma  =  \sqrt{ \frac{0.60(1 - 0.60 )}{250} }[/tex]

=>    [tex]\sigma  =   0.0310[/tex]

Generally the sample proportion is mathematically represented as  

         [tex]\^{p} =  \frac{k}{n}[/tex]

=>       [tex]\^{p} =  \frac{144}{250}[/tex]

=>     [tex]\^{p} = 0.576 [/tex]

Gnerally the probability of this result (i.e. 144 voters or less out of 250) happening by chance, assuming the aggregate poll model proportion of 60% is correct is mathematically represented as

  [tex]P(p  <  \^p) =  P(\frac{ p - \mu_{x}}{ \sigma }  <  \frac{ \^ p - \mu_{x}}{ \sigma } )[/tex]

=>     [tex]P(p  <  \^p) =  P(Z <  \frac{ 0.576 - 0,60}{ 0.0310} )[/tex]

=>      [tex]P(p  <  \^p) =  P(Z <  -0.77 )[/tex]

From the z-table  the probability of (Z <  -0.77)  is  

     [tex]P(Z <  -0.77 )  =  0.2206[/tex]

So

    [tex]P(p  <  \^p) =   0.2206[/tex]

Since

  [tex]0.2206 > 0.05[/tex] it implies that it is not an unusual  event

Answer:

the answer is 24 im sure of it

Answer:

The given data is quantitative.

These are interval level of measurement.

Step-by-step explanation:

Data : 22.5, 23.8, 20.2, 22.4, 23.1, 24.7, 23.7, 21.7, 21.1

Qualitative data : It is descriptive information about characteristics that are difficult to define or measure or cannot be expressed numerically.

Quantitative data : It is numerical information that can be measured or counted.

So, The given data is numeric

So, the given data is quantitative.

These are interval level of measurement.

Interval : It is as follows-Interval scales are numeric scales in which we know not only the order, but also the exact differences between the values

Answer:

The other number is 330

Step-by-step explanation:

The computation of the other number is shown below:

As we know that

HCF × LCM = Product of Two Numbers

So,

30 × 2310 = 210 × other number

Now

The other number is

= (30 ×  2310) ÷ 210

= 330

hence, the other number is 330 and the same is to be considered

We simply applied the above formula so that the correct answer could come

Answer:

why

Step-by-step explanation:

The value of sin^(-1) 1 is; π/2

We know that in radians the value of θ at which sin θ = 1 is; π/2 radians

Thus; sin^(-1) 1 = π/2

Read more about trigonometric angles at; https://brainly.com/question/22591162

Answer:

11.50 x 40 regular hours is $460

double time is 11.50 x 2 = $23 an hour

She makes $23 an hour for 8 hours = $184

$460 + $184 = $644 paycheck

Answer:

Sorry can't do this

Step-by-step explanation:

Answer:

uhhhhhhhhhhhhhhhhhhhhhhhhh 4

Step-by-step explanation:

Answer:

28 in grams=793.787 and 28 in kilo =0.793787

Step-by-step explanation:

Answer:

1, 2  

Step-by-step explanation:

Given parameters;

   Endpoints  = (-3, 3) and (5, 1)

Unknown:

The midpoint of the segment = ?

Solution:

 The midpoint between two endpoints is given as;

         x[tex]_{m}[/tex], y[tex]_{m}[/tex] =( [tex]\frac{x_{1} + x_{2} }{2}[/tex] , [tex]\frac{y_{1} + y_{2} }{2}[/tex])

       x and y are coordinates

x₁  = -3

x₂ = 5

y₁ = 3

y₂ = 1

        x[tex]_{m}[/tex], y[tex]_{m}[/tex]  = [tex]\frac{-3 + 5}{2}[/tex], [tex]\frac{3+ 1}{2}[/tex]

       x[tex]_{m}[/tex], y[tex]_{m}[/tex] = 1, 2  

Answer:

120, if I did it right

Step-by-step explanation:

In a group of 13 students, 5 are boys. Turn that into a fraction, 5 over 13 or 5/13. Just multiply 5/13 times 312 and you get your answer, 120.

Answer:

1280

Step-by-step explanation:

I = p x r x t

I = 5000 x 6.4/ 100 x 4

I = 5000 x 0.064 x 4

I =1280

Answer:

31825 is your answer. Hope that helps.

Answer:

Lydia´s address is 8 Cypress street.

Step-by-step explanation:

5 digit.

6 less than 7.

3 and 1 are the product.

Simplify them.

6 - 7 + 3 + 1 = 5

Simplify.

6 - 7 = -1.

Then Simplify.

-1 + 3 = 2.

Simplify.

2 + 1 = 3.

3 + 5 = 8.

Hope this helps.

Have a good night ma´ám/sir.

Be safe!

Answer:

Step-by-step explanation:

Since ΔABC ≅ ΔXYZ,

By the property that says that "corresponding parts of the congruent triangles are congruent"

Corresponding angles (Including right angle) will be equal.

m∠A = m∠X = 180° - (90° + 37°) = 53°

m∠B = m∠Y = 90°

m∠C = m∠Z = 37°

Corresponding sides of the triangles will be equal.

AB ≅ XY = 3 units

BC ≅ YZ = 4 units

AC ≅ XZ = 5 units

Answer:

11. B 12. C 13. B

Step-by-step explanation:

11. Since segment MR bisects segment QO, side QP and side PO are equal. In the problem it states that angle MQP is congruent to angle ROP. The the angles QPM and OPR are vertical, so they are equal. That is enough evidence to conclude the answer.

12. ADC is bisected by BD, so that bisects AC too, which makes both sides equal. BD is perpendicular to AC, making right angles on both sides. The curves at angle A and angle C show that they are congruent. That should be enough evidence to show that it is congruent by ASA.

13. Triangle cannot be congruent by having the same angles, only similar since the lengths can be different. Congruent triangle means that the sides and angles are the same.

Good luck...hope this helped ;)

Answer:

125.6 cm²

Step-by-step explanation:

Area of the shaded region = area of larger circle - area of the smaller circle

Area of the smaller circle = πr²

π = 3.14, r = 3 cm

Area of smaller circle = 3.14*3² = 3.14*9 = 28.26 cm²

Area of larger circle = πr²

π = 3.14, r = 7

Area of larger circle = 3.14*7² = 3.14*49 = 153.86 cm²

Area of the shaded region = 153.86 - 28.26 = 125.6 cm²

Answer:

low gradient, high volume

high gradient, low velocity

high gradient, high velocity

Step-by-step explanation:

Answer:

low gradient, high volumehigh gradient, low velocityhigh gradient, high velocity

Step-by-step explanation: