1. Natasha worked at a diner for $10per hour last week and already had $42 in her bank account? She paid $206 for a prom dress. The equations 206 = 42 + 10h represents this problem. How many hour did she work to pay for the prom dress?

2. Translate the following sentence into a mathematics equation. The sum of 10 and five time a number is the same as the difference of the number and 6

Answer:

-75

Step-by-step explanation:

200 = 125-u

75 = -u

u = 75

Answer:

there is no like terms

Step-by-step explanation:

Answer:

(x+2)(x+3)

Explanation:

(x+2)(x+3)

If you simplify this, you get:

x*x = x^2

x*3 = 3x

2*x = 2x

2*3 = 6

If we add these all together we will have:

x^2 + 3x + 3x + 6

Combine like terms

x^2 + 5x + 6

Answer:

7

Step-by-step explanation:

start by adding 3+ 11 in the parenthesis, that should give you 14. now you should have  7 + 14 over -5 + 8.  

-5 + 8 = 3  (another way to look at this problem is, 8 -5)

7+14 = 21

you should now have 21 over 3

to simplify this divide 21 by 3, this should give you 7  

Answer: 21 divided by 3

Step-by-step explanation:

If you solve the top and the bottom you get 21 for the top and 3 for the top and you can divide 21 by 3 and get 7. You can double check the math if you want, hope this helps!

Answer:

it may be different answers i.e 0.09 and 11^-1

Answer:

250

Step-by-step explanation:

150 divided by 3 is 50. Meaning you spend 50 minutes per class. 50 times 5 would be 250.

Answer:

Ethan is 31 years old if Alec is 24 years old.

Step-by-step explanation:

24 + 7 since Alec is seven years younger than his older brother so you add seven to his age

Answer:

31

Step-by-step explanation:

Alec is seven years younger than his older brother Ethan

So

If Alec is 24 years old then Ethan will be

24+7

31

Answer:

4.5 miles ibelieve

Step-by-step explanation:

3/4 × 6/6 is 4.5 miles

Answer: She have to drink 3 bottles of water.

Step-by-step explanation:

Given: Weight of Kathryn = 121.5 pounds

half of her weight = [tex]\dfrac{121.5}{2}=60.75\text{ pounds}[/tex]

So, she need to drink 60.75 pounds of water.

Kathryn's water bottle holds 20.25 ounces.

Number of water bottles she need to drink = (half of her weight) ÷ (Capacity of bottle)

[tex]=\dfrac{60.75}{20.25}\\\\=\dfrac{6075}{2025}\\\\=3[/tex]

Hence, she have to drink 3 bottles of water.

Answer:

1/2

Step-by-step explanation:

Since you are going from the biggest to smallest, it would be 1/2. If you are going from the smallest to biggest it would be 2. So the answer is 1/2. :)

Isosceles Right

Isosceles, since the two side lengths are equal, and it is a right triangle since it has a 90 degree angle and two other 45 degree angles.

Answer:

Isosceles Right

Step-by-step explanation:

Answer:

y=2x-3

Step-by-step explanation:

Answer:

b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.

Step-by-step explanation:

The solution is correct up to the step 2x = 6x

2x = 6x

Subtract 2x from both sides.

0 = 4x

Divide both sides by 4.

x = 0

You cannot divide both sides by x since x could be zero, and in fact, it is.

Answer: b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.

The correct option is (b) When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The linear equation is:

2(x + 6) - 4 = 8 + 6x

After simplifying the above linear equation in one variable:

2x = 6x

The correct steps are:

6x - 2x = 0

4x = 0

x = 0

When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.

Thus, the statement best explains that “divide each side by step” is unacceptable" is When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.

Learn more about the linear equation here:

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Answer:

Step-by-step explanation:

Non-linear functions address the problems of a linear activation function: They allow backpropagation because they have a derivative function which is related to the inputs. They allow “stacking” of multiple layers of neurons to create a deep neural network.

Answer:

The value of x of the solution to the system of equations

Hence, option (C) is true.

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}x=2y-4\\ 7x+5y=-66\end{bmatrix}[/tex]

Arrange equation variables for elimination

[tex]\begin{bmatrix}x-2y=-4\\ 7x+5y=-66\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}x-2y=-4\mathrm{\:by\:}7\:\mathrm{:}\:\quad \:7x-14y=-28[/tex]

[tex]\begin{bmatrix}7x-14y=-28\\ 7x+5y=-66\end{bmatrix}[/tex]

subtracting  7x-14y=-28 from 7x+5y=-66

[tex]7x+5y=-66[/tex]

[tex]-[/tex]

[tex]\underline{7x-14y=-28}[/tex]

[tex]19y=-38[/tex]

so the equations become

[tex]\begin{bmatrix}7x-14y=-28\\ 19y=-38\end{bmatrix}[/tex]

solve 19y = -38

[tex]19y=-38[/tex]

Divide both sides by 19

[tex]\frac{19y}{19}=\frac{-38}{19}[/tex]

[tex]y=-2[/tex]

[tex]\mathrm{For\:}7x-14y=-28\mathrm{\:plug\:in\:}y=-2[/tex]

[tex]7x-14\left(-2\right)=-28[/tex]

[tex]7x+28=-28[/tex]

[tex]7x=-56[/tex]

Divide both sides by 7

[tex]\frac{7x}{7}=\frac{-56}{7}[/tex]

[tex]x=-8[/tex]

Therefore, the value of x of the solution to the system of equations

Hence, option (C) is true.

Answer:

320

190

318

42.241951146971

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The area formula for a rectangular prism is ...

  A = 2(LW +H(L+W))

For (L, W, H) = (8, 8, 6) ...

  A = 2(8·8 +6(8+8)) = 2(64 +96) = 320 . . . square units

For (L, W, H), = (2, 9, 7) ...

  A = 2(2·9 +7(2 +9)) = 2(18 +77) = 190 . . . square units

For (L, W, H) = (6, 7, 9) ...

  A = 2(6·7 +9(6 +7)) = 2(42 +117) = 318 . . . square units

__

The area of the triangular prism is the sum of its triangular base areas and the lateral area. The lateral area is the product of the base perimeter and the length of the prism.

  A = 2(1/2)bh +PL

  = 3(2.6) +(3+3+3)·4

  = 7.8 +9·4 = 43.8 . . . square units

Answer: $60401.16

Step-by-step explanation:

From the attached image, the total price for the vehicle = $55,927.

If he were to pay the full sticker price for the SUV, the total would sum up to

= $55,927 + 8% sales tax

= $55,927 + 8/100( $55,927)

= $55,927 + 0.08($55,927)

= $55,927 + $4474.16

= $60401.16

The total would sum up to $60401.16

Answer:

960

Step-by-step explanation:

I'm not sure exactly what's the question, but here's what I found. Lets first put it in our own words.

Consider the speed 4/5 miles in 12 minutes to travel 2/8.

8 + 4 = 12, so you can replace that with 12 minutes.

Now, you can absolutely guess your question.

Time = 12 minutes.

Distance = x (Let x be distance)

Speed = 4/5.

Now, you find distance.

Distance Formula: You can use the equivalent formula d = st which means distance equals rate times time.

So 4/5 × 12, is 9.6.

In fraction, if you have 1 numbers after the decimal point, multiply both numerator and denominator by 10. So 9.6 = (9.6 × 10) × 10 = 960.

Here is a pattern I found

2/5 divided by 4 is 1/10

4/5 divided by 8 is 1/10

If , we consider the given rates , we find that both rates are equivalent.

Two rates are given which are 4/5 miles in 8 minutes and 2/5 miles in 4 minutes.

We have to find out what they actually indicate.

What is the unitary method?

The unitary method is a method in which we find the value of a unit and then the value of the required number of units.

As per the question ;

Two rates are given which are ;  4/5 miles in 8 minutes and 2/5 miles in 4 minutes.

Let's find out what they are actually indicating.

So ;

If , distance travelled in 8 minutes = 4/5 miles

Then ;

In 1 minute , distance travelled will be ;

= [tex]\frac{4}{5*8}[/tex]

= [tex]\frac{4}{40}[/tex]

= 1 / 10 miles

and

If , distance travelled in 4 minutes = 2/5 miles

Then ;

In 1 minute , distance travelled will be ;

= [tex]\frac{2}{5*4}[/tex]

= [tex]\frac{2}{20}[/tex]

= 1 / 10 miles

So , we can conclude that both rates are equivalent.

Thus , if we , consider the given rates , we find that both rates are equivalent.

To learn more about unitary method click here ;

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Answer:

It is $3.46

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:2nd one because 2/6=1/3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Step-by-step explanation:

Distance between park and movie theater

= 9 - (-15)

= 24 blocks.

Answer:

24 blocks

Step-by-step explanation:

I hope this helps!

Answer:

9. 30/6

10. 7.6 and u

Step-by-step explanation:

Answer:

A 33 degrees

Step-by-step explanation:

[tex]x \degree = 180 \degree - (23 \degree + 124 \degree) \\ \\ x \degree = 180 \degree - 147 \degree\\ \\ x \degree = 33 \degree \\ \\ x = 33[/tex]

Answer:

A) 33

Step-by-step explanation:

the angles of a triangle always add up to 180.

124 + 23 + x = 180

combine like terms

147 + x = 180

147 + x - 147 = 180 - 147

x = 180 - 147

x = 33

Answer:

y = x + 5

Step-by-step explanation:

Perpendicular lines have opposite reciprocal slopes, so the line will have a slope of 1.

Then, plug in the slope and given point into y = mx + b to solve for b:

y = mx + b

-4 = 1(-9) + b

-4 = -9 + b

5 = b

Plug in the slope and b into y = mx + b:

y = 1x + 5

y = x + 5

So, the equation of the line is y = x + 5

Answer:

I’m pretty sure u would spin it 4 times

Step-by-step explanation:

I hope that helps check with someone else tho ❤️❤️

Answer:

1. y=14

2. x=22

3. z=3

4. n=14

5. a=10

6. m=-5

7. b=26

8. c=15

9. x=80

10. g=20

11. x=-5

12. w=-4

13. r=45

14. k=12

15. f=50

16. j=2

17. r=21

18. t=47

Answer:

Y=6X-32

Step-by-step explanation:

Answer:

y-y1=m(x-x1)

y-6=-2(x-(-1))

y-6=-2(x+1)

y-6=-2x-2

y=-2x+4

Step-by-step explanation:

With negative numbers the larger the number the lower the value. For example -2 is less than -1

The order from least to greatest would be:

-12, -4.3, -1 1/2

Answer:

your x's will be -2, -1 , 0 , 1, 2

and your y's will be -5, -2, 1, 4, 7