Adler and Erika solved the same equation using the calculations below.

Adler's Work

Erika's Work

13 - 3 - 4+* -

OCD

Which statement is true about their work?

Answer:

132 students

Step-by-step explanation:

100% means all of something, so 100% can also be written as 1.00

Since we need 55% of 240, we can multiply 240 by 0.55 and get 132.

Answer:

19/4

Step-by-step explanation:

First convert 1 1/4 into a improper fraction:

5/4

Then convert 3 1/2 into a improper fraction:

7/2

Now find the LCM of both denominators:

4

Now multiply the fractions such that the denominators are equal to 4:

5/4 x 1/1 = 5/4

7/2 x 2/2 = 14/4

Now add the numerators:

5 + 14 = 19

Now put the numerator and denominator together to get:

19/4

Answer:

4 3/4

Step-by-step explanation:

1 1/4 +3 1/2 =

5/4 + 7/2=

5/4 + 14/4=

19/4= 4 3/4

I hope this helps you

x+x-47=x+42

x=42+47

x=89°

Hey there! :)

Answer:

x = 89°.

Step-by-step explanation:

x + 42 is supplementary to the inside angle at the top of the triangle, so:

The top angle of the triangle is equal to:

180 - x - 42.

All of the angles in a triangle add up to 180°, therefore:

180 = x + x - 47 + 180 - x - 42

Combine like terms:

180 = 2x + 133 - x - 42

180 = x + 91

Subtract 91 from both sides:

89 = x.

Therefore, x = 89°.

Answer:

The third angle is 136

Step-by-step explanation:

The three angles of a triangle add to 180

27+17+x = 170

Combine like terms

44+x = 180

Subtract 44 from each side

44+x-44 =180-44

x =136

Answer:

136° is the answer.

Step-by-step explanation:

given ,

1st angle=27°

2nd angle= 17°

let the third angle be x

then ,x+27°+17°=180°

or x+44°=180°

or, x=180_44

therefore the value of x is 136°.

Answer:

18x - 63y.

Step-by-step explanation:

9(2x-7y)

= 9 * 2x - 9 * 7y

= 18x - 63y

Hope this helps!

Answer:

Step-by-step explanation:

Distribute (multiply) the 9 to both the 2x and -7y

You get: 18x -63y        

This is because 9 times 2x is 18x. Furthermore, 9 times -7y is equal to             -63y

Answer:

10x⁵ - 29x⁴ + 33x³ - 18x² - 18x + 27

Step-by-step explanation:

All we have to do is distribute both terms of the binomial into the polynomial and combine like terms.

10x⁵ - 14x⁴ + 12x³ - 18x - 15x⁴ + 21x³ - 18x² + 27

10x⁵ - 29x⁴ + 33x³ - 18x² - 18x + 27

Answer:

All are true except d

Step-by-step explanation:

● a

Since both shapes are congruent, the sides AB and PQ are identical. They have the same length

● b

The same goes for these sides. They are indentical.

● c

The angles B and Q are indentical so they have the same size.

● d

The angles c and p aren't identical.

● e

Since both shapes are trapezoids

AD and BC are parallel and the same goes for PS and Qr

Answer:

1.2

Step-by-step explanation:

to get the answer divide 1.56/1.3=1.2

1.2*1.3=1.56

Answer: 1.2

Step-by-step explanation:

Divide both sides of the equation by 1.3

X=1.56/1.3

X=1.2

Plug in 1.2 x 1.3 = 1.56

Answer:

4th choice: I and IV only

Step-by-step explanation:

Change the form of the given equation to standard form.

y = -2/3 x + 2

3y = -2x + 6

2x + 3y = 6

Now compare this equation with the 4 choices.

Any equation that has the same x- and y-terms but a different constant term is parallel.

I. is parallel.

II. and III. are not parallel.

Look at IV.:

4x + 6y = 3

Divide both sides by 2:

2x + 3y = 3/2

IV. is also parallel.

Answer: 4th choice: I and IV only

Answer:

I and IV only

Step-by-step explanation:

In order for graphs to be parallel, they must have the same slope

In this case, we are looking for a slope of -2/3

We can find the other slopes by solving for y (y=mx+b)

I. 2x+3y=10

Subtract 2x from both sides

3y=-2x+10

Divide by 3

y=-2/3+10/3 This works since the slope is identical

II. 2x-3y=9

Follow a similar progression as the previous (subtract the x's and divide the y's)

-3y=-2x+9

y=2/3=3 This doesn't work since it is positive

III. 4x-6y=30

-6y=-4x+30

y=2/3 x-5 (4/6 simplified to 2/3) Also doesn't work since it is positive

IV. 4x+6y=3

6y=-4x+3

y=-2/3x+3 (-4/6 simplified to -2/3) This one works, it is identical

Answer:

16,242. 7 cm^3.

Step-by-step explanation:

We need to cut off a square piece at the 4 corners of the cardboard.

Let the length of their edges be x cm.

The volume of the box will be:

V = height * width * length

V = x(100-2x)(40-2x)

V = x(4000 - 200x - 80x + 4x^2)

V = x(4x^2 - 280x + 4000)

V =  4x^3 + - 280x^2 + 4000x

Finding the derivative:

dV / dx =  12x^2 - 560x + 4000  = 0  ( when  V is a maxm or minm.)

4(3x^2 - 140x + 1000) = 0

x =  37.86, 8.80.

Looks like x = 8.80 is the right value but we can check this out be looking at the sign of the second derivative:

V" =  24x - 560, when x = 8.8   V" is negative so this is a Maximum for V.

So the maximum volume of the box is when x = 8.8 so we have

V =  8.8(100-2(8.8)(40 - 2(8.8)

=  16,242. 7 cm^3.

Answer:

$300

Step-by-step explanation:

Though you didn't include the expression in the question but the question can be solved using the below method

Total savings=$1000

Month 1 withdrawal=$25

Each successive month=$10 more than the previous month

first month=$25

Second month=$35

Third month=$45

Fourth month=$55

Fifth month=$65

Sixth month=$75

Seventh month=$85

Eighth month =$95

Ninth month=$105

Tenth month=$115

Total withdrawal=25+35+45+55+65+75+85+95+105+115

=$700

The amount left in Hannah's savings account=Total savings - Total withdrawal

=$1000-$700

=$300

Answer:

A: $300

Step-by-step explanation:

Got it right.

Answer:

A. (8, -2)

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2} )[/tex]

We are given midpoint and 1 endpoint, so simply set the equation and solve:

1 = (-6 + x)/2

2 = -6 + x

x = 8

2 = (6 + y)/2

4 = 6 + y

y = -2

Answer:

f = 4

Step-by-step explanation:

Step 1: Distribute

-11f = 7 - 14f + 5

Step 2: Combine like terms

-11f = 12 - 14f

Step 3: Add 14f to both sides

3f = 12

Step 4: Divide both sides by 3

f = 4

Answer:

F = 4

solution,

-11f=7(1-2f )+5

Or -11 f = 7-14 f +5

Or -11 f +14 f = 5+7

Or 3 f = 12

Or f=12/3

F = 4

hope this helps...

good luck on your assignment...

There isn't an obvious question to this problem but with the given we can assume what is to be asked. I think we are to find the total cost of a certain poultry seasoning. The poultry seasoning would have a total weight of 4+2=6 ounces. The total cost will then have to be 4(4) + 2(3) = 22 dollars. 

Answer:

D. 6

Step-by-step explanation:

Got it correct on edg2020

When solving a system by addition, our goal is to cancel out one of the variables by adding the two equations together.

Notice that if we add these two equations together,

neither one of our variables will cancel out.

In this situation, we need to set things up so that when we do add

our two equations together, one of our variables will cancel out.

Notice that we have a 2x in our first equation.

If we had a -2 in our second equation,

then the x's would cancel out.

In order to create a -2x in the second equation,

we simply multiply both sides of the second equation by -2.

So we have (-2)(x - 2y) = (10)(-2).

Rewriting both equations, we have 2x + 4y = 28 and for

our second equation we have -2x + 4y = -20.

Now when we add our two equations together,

our x terms will cancel out and were left with 8y = 8.

Dividing both sides by 8, y = 1.

To solve for x, substitute a 1 in for y

in either one of the two equations.

So let's go with our first equation.

If we substitute a 1 in for y, we have 2x + 4(1) = 28.

4(1) is 1 according to the identity property of multiplication.

So we have 2x + 4 = 28.

Now subtract 4 from both sides to get 2x = 24.

Now divide both sides by 2 and x = 12.

Now put your answer in the form of the ordered pair {12, 1}.

Answer:

(x + 7)^2 + (y -  8)^2 = 81.

Step-by-step explanation:

According to the diagram below, the equation of a circle is (x - h)^2 + (y - k)^2 = r^2.

In this case, h = -7, k = 8, and r = 9.

(x - -7)^2 + (y - 8)^2 = 9^2

(x + 7)^2 + (y -  8)^2 = 81.

Hope this helps!

Answer:

(x + 7)² + (y - 8)² = 81

Step-by-step explanation:

The equation of a circle is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius.

We can plug in the values given, since we are given the center coordinates and radius value:

(x - h)² + (y - k)² = r²

Plug in the center coordinates:

(x + 7)² + (y - 8)² = r²

Plug in the radius:

(x + 7)² + (y - 8)² = 9²

(x + 7)² + (y - 8)² = 81

The equation will be (x + 7)² + (y - 8)² = 81

Answer:

y = √ x + 4

The domain of a function is the value in which you put in the function will make it undefined.

To find the domain equate the function to zero

That's

√x + 4 = 0

square both sides

x + 4 = 0

x = - 4

The domain of the function is x E R except - 4

Hope this helps

Answer:

Step-by-step explanation:

y=√x+4

domain is [0,∞)

range is [4,∞)

Answer:

70 degrees

Step-by-step explanation:

All angles in a triangle add up to 180 degrees.

x + 65 + 45 = 180

x + 110 = 180

x = 180 - 110

x = 70

The size of angle x is 70 degrees.

Answer:

70

Step-by-step explanation:

180-65-45=70

Good luck

Answer:

High Hopes <3

Barry

Answer:

as volume=lenght×width×height

volume=10ft×6.25ft×4.5ft

volume=62.5ft²×4.5ft

volume=281.25 cubic feet

Step-by-step explanation:

i hope this will help you :)

Answer:

solution,

BC=8.4 cm

AB=12 cm

BD=4.1 cm

We have to find out: AC ,CD

using Pythagoras theorem:

In ∆ABC ,<B=90°

[tex] {(ac)}^{2} = {(ab)}^{2} + {(bc)}^{2} \\ {(ac)}^{2} = {(12)}^{2} + {(8.4)}^{2} \\ {(ac)}^{2} = 144 + 70.56 \\ {(ac)}^{2} = 214.56 \\ ac = \sqrt{214.56} \\ ac = 14.64 \: cm[/tex]

Similarly,

In ∆BCD, CB=90

[tex]cd = \sqrt{ {(8.4)}^{2} + {(4.1)}^{2} } [/tex]

[tex] = \sqrt{70.56 + 16.81} \\ = \sqrt{87.37} \\ = 9.34 \: cm[/tex]

Perimeter:

AC+CD+AD

=14.64+9.34+(12+4.1)

=40.08

= 40.1 cm

Hope this helps...

Good luck on your assignment..

Answer: 2ayx4a

Step-by-step explanation:

1) First, we will need to simplify each equation:

4ax2y = 8axy

8axy = 8axy

2ayx4a = 8ayx4a

ax8y = 8axy

2) We can now see that 2ayx4a is not the same as the others.

Answer:

try x=3.08

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer =250

l Length  

10

w Width  

5

h Height  

5

Answer:

(B)21+3a

Step-by-step explanation:

An expression is said to be distributive when:

[tex](a+b)c=a \cdot c+b \cdot c[/tex]

Given the algebraic expression: (7 + a)3

Applying the distributive property

[tex](7 + a)3 = 7 \cdot 3+a \cdot 3\\=21+3a[/tex]

An equivalent expression is 21+3a.

The correct option is B

Answer:

b

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

2y = -2x - 10

y =    2x + 2 (combine like terms using addition)

_________

3y = -8

Answer:

There are no solutions

Step-by-step explanation:

need points for finals

Answer:

D.

Step-by-step explanation:

Answer:

6.4m

Step-by-step explanation:

We can use ratios to solve this

Since 4cm: 3200cm

(RHS is 800x bigger)

Then 8cm : 6400cm

6400cm = 6.4m

Answer:

12.4 cm

Step-by-step explanation:

arc AB is calculated using

arc = circumference × fraction of circle

      = 2πr × [tex]\frac{90}{360}[/tex]

      = 2π × 7.9 × [tex]\frac{1}{4}[/tex]

       = [tex]\frac{7.9\pi }{2}[/tex] ≈ 12.4 cm ( to the nearest tenth )