Felicity baby sat 2 hours each night for 10​ nights. She earned a total of 180 babysitting. Felicity wants to calculate her hourly rate. How much did Felicity earn per hour babysitting?

[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\stackrel{\textit{"y" varies directly with }x^2}{y=kx^2}\qquad \textit{we also know } \begin{cases} y=8\\ x=2 \end{cases} \\\\\\ 8=k(2)^2\implies 8=4k\implies \cfrac{8}{4}=k\implies 2=k~\hfill \boxed{y=2x^2} \\\\\\ \textit{when x = 3, what is "y"?}\qquad y=2(3)^2\implies y=2(9)\implies y=18[/tex]

Answer:

200 votes

Step-by-step explanation:

250*.8=200

Answer:

The winning candidate recieved 200 votes.

Step-by-step explanation:

80%=0.8

250*0.8=200

Answer:

1.2 * 10^14

Step-by-step explanation:

Do 2*6 = 12

Do 10^5 * 10^8 = 10^(5+8)=10^13

Multiply the two answers together: 12 * 10^13

Write in scientific notation: 1.2 * 10^14

Solution:

Before we begin solving, I suggest reviewing a rule about multiplying exponents.

Rule about multiplying exponents:

Now, let's solve for the answer.

Open the brackets of both expressions.

Simplify 2 x 10⁵ x 6 x 10⁸.

Add the exponents as per multiplying exponent rule

Hence, the answer is 12 x 10¹³.

Learn more about exponents: https://brainly.com/question/3944602

Answer:

x>3  here is your answer

The statement best describes the relationship between terms is that they are perfect squares

Perfect squares are the product of an integer with itself

All the terms of the sequences are perfect squares since:

1^ 2 = 1

8^2 - 64

2^2 = 4

Note that since we can multiply the integers together with each other, then they are a perfect square.

The statement best describes the relationship between terms is that they are perfect squares

Learn more on perfect squares here: https://brainly.com/question/1538726

Answer:

8+6= 14

Step-by-step explanation:

I think but I'm not sure

Answer:

([tex]\sqrt{7}[/tex] - x )([tex]\sqrt{7}[/tex] + x )

Step-by-step explanation:

Using the difference of squares

a² - b² = (a - b)(a + b) , then

7 - x²

= ([tex]\sqrt{7}[/tex] )² - x²

= ([tex]\sqrt{7}[/tex] - x)([tex]\sqrt{7}[/tex] + x)

Answer:

Solution

Let The side of Triangle be ABC.

Let B be perpendicular.

Hypotenuse=30

Perpendicular=?

Base=24

Perpendicular= √h2-b2

=√30×30-24×24

=√900-576

=√324

=18

Answer:

ok

Step-by-step explanation:

Step-by-step explanation:

Terms can be a single number or variable, or a coefficient.

The expression contains seven terms, incorrect. Doesn't include coefficients.

The terms in the expression are [tex]7[/tex], [tex]a[/tex], [tex]2[/tex], [tex]3a[/tex], [tex]b^2[/tex]. Correct. Includes coefficients.

Constants are like terms, correct. (7, 2)

2 and [tex]b^2[/tex] are like terms because they both contain the number 2, incorrect. [tex]b^2[/tex] can only combine with a coefficient with the exact same terms. ([tex]b^2[/tex])

a and 3a are like terms, correct. Both are like terms since both have the variable of a.

a, 3a, and [tex]b^2[/tex] contain variables, so they are like terms. Incorrect. As said before, [tex]b^2[/tex] can't combine with 3a and a. (4a)

it may or may not change

Answer:

No.

Step-by-step explanation:

The denominator only changes when multiplying or dividing.

Answer:

m∠4 = 140°

Step-by-step explanation:

m∠1 = m∠4  (parallel lines with same angle)

m∠2 = m∠3  (parallel lines with same angle)

if m∠2 = m∠3 are equal:

3x + 10 = 5x - 10

3x - 5x = -10 - 10

-2x = -20

x = 10°

m∠2 = m∠3 = 3x + 10 = 3(10) + 10 = 40°

m∠1 + m∠4 + 40° + 40° = 360°

2 m∠4 = 360° - 80°

2 m∠4 = 280°

m∠4 = 140°

Answer:

m∠4 = 140°

Step-by-step explanation:

Vertical Angle Theorem: vertical angles are always congruent.

Therefore, m∠1 = m∠4  and  m∠2 = m∠3

As m∠2 = m∠3, then

⇒ 3x + 10 = 5x - 10

⇒ 20 = 2x

⇒ x = 10

So m∠2 = 3x + 10 = 3(10) + 10 = 40°

m∠2 and m∠4 form a linear pair

Therefore m∠2 + m∠4 = 180°

⇒ 40 + m∠4 = 180

⇒ m∠4 = 140°

Linear pair: a pair of adjacent angles formed when two lines intersect.  The two angles of a linear pair always sum to 180°

Answer:

  2x -16

Step-by-step explanation:

The area of each rectangle is the product of its length and width. The shaded area is the difference between the areas of the outside rectangle and the inside rectangle.

  shaded area = (2x -1)(x +6) -(2x +5)(x +2)

  = (2x^2 +11x -6) -(2x^2 +9x +10)

  = (2 -2)x^2 +(11 -9)x +(-6 -10)

  = 2x -16 . . . . . area of the shaded region

Answer:

since there are 4 states that start with A and 8 that start with M, this means that out of the 50 states there are 12 states that he could throw a dart at and get either A or M, meaning that 12/50 is the fraction and 12/50 converted into a percentage or decimal is 0.24 meaning that 0.24 is the probability that he throws a dart and hits a state that starts with an A or M

Answer:

jim is 24 years old,  Mark is 20 years old

Step-by-step explanation:

This prompt can be set up using this equation:

Let's represent Mark's age by variable m and Jim's age by variable J.

j + m = 44

m + 4 = j

m = j - 4

j + (j - 4) = 44

2j - 4 = 44

2j = 48

j = 24

So, jim is 24 years old, meaning mark must be 20 years old. 20 + 24 results in 44 years old together.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Let me know if you have any further questions! Spread the love.

Answer:

18 million kilometers in one min. and 0.3 million kilometers in one second

Step-by-step explanation:

so the one min. is easy because all you have to do is take 180 and divide it by 10 and you get 18 million kilometers in one min. and then you would take 18 and divide it by 60 and you would get 0.3 million kilometers in one second

Answer:

Should be just one solution :)

Step-by-step explanation:

Answer:

It just has one solution :)

Step-by-step explanation:

4(x+1)=1/2(x-8)

4x-4 = 1/2(x-8)

4x-4=1/2x-4

4x=1/2x

8x=x

(8x-x=0)

(7x=0)

Therefore x=0

8 x [tex]\frac{1}{3}[/tex]

= [tex]\frac{8}{1}[/tex] x [tex]\frac{1}{3}[/tex]

= [tex]\frac{8 x 1}{1 x 3}[/tex]

=[tex]\frac{8}{3}[/tex]

Answer:

8/3 or 2 2/3

Step-by-step explanation:

8 is also equal to 8/1

8/1 x 1/3

you multiply the numerators to get 8

then multiply the denominators to get 3

The slope of AB is different from the slope of BC

==================================================

Reason:

Points A,B,C are all on the same line. We consider them collinear points. This means that the slopes of AB, AC and BC are the same value.

If the slopes were different at all, then the points wouldn't be collinear. In this case, the slope is 2/3 because we move up 2 each time we move to the right 3 units.

Solution:

Simplify the inequality and solve.

The simplified inequality is 1 < k.

[tex] \sf20 < k + 19[/tex]

Move the variable to the left-hand side and change its sign

[tex] \sf20 - k < 19[/tex]

Move the constant to the right-hand side and change its sign

[tex] \sf \: - k < 19 - 20[/tex]

Calculate the difference

[tex] \sf \: - k < - 1[/tex]

Change the signs on both sides of the inequality and flip the inequality sign

[tex] \boxed{ \tt \: k > 1}[/tex]

[tex]x = (5/y)^2 + 3[/tex]

[tex]\bold{\huge{\green{\underline{ Solution }}}}[/tex]

A quadrilateral having two pair of parallel sides is Parallelogram

Hence, Option b is correct

The two consecutive angles of parallelogram are Supplementary.

Hence, Option C is correct

All squares are rectangle is true statement

Hence, Option A is correct

Rhombus is the quadrilateral has diagonals perpendicular to each other

Hence, Option B is correct

Answer:

It is A

Step-by-step explanation:

Because 18 to 14 is subtracting 4 and then it goes 14 to 10 which is another 4. Hope you ace the quiz or test or whatever your doing hope it helps.

Option A

It's an arithmetic sequence

Rule is

[tex]\\ \rm\hookrightarrow a_n=a+(n-1)d[/tex]

[tex]\\ \rm\hookrightarrow a_n=18+(n-1)4[/tex]

Answer:

Step-by-step explanation:

[tex]=3x-(-2-4x)\\\\=3x+2+4x\\\\=7x+2\\\\=7*5+2\\\\=35+2\\\\=37[/tex]

[tex]=3x-(2-4x)\\\\=3x-2+4x\\\\=7x-2\\\\=7*5-2\\\\=35-2\\\\=33[/tex]

[tex]=-3x-(-2-4x)\\\\=-3x+2+4x\\\\=x+2\\\\=7+2\\\\=9[/tex]

Answer:

The diameter of the base of the cylinder is 2 cm.

Step-by-step explanation:

GIVEN :

As per given question we have provided that :

[tex]\begin{gathered}\end{gathered}[/tex]

TO FIND :

in the provided question we need to find :

[tex]\begin{gathered}\end{gathered}[/tex]

USING FORMULAS :

[tex]\star{\underline{\boxed{\sf{\purple{Csa = 2 \pi rh}}}}}[/tex]

[tex]\star{\underline{\boxed{\sf{\purple{d = 2r}}}}}[/tex]

[tex]\begin{gathered}\end{gathered}[/tex]

SOLUTION :

Firstly, finding the radius of cylinder by substituting the values in the formula :

[tex] \begin{gathered} \qquad{\longrightarrow{\sf{Csa = 2 \pi rh}}} \\ \\ \qquad{\longrightarrow{\sf{88 = 2 \times \dfrac{22}{7} \times r \times 14}}} \\ \\ \qquad{\longrightarrow{\sf{88 =\dfrac{44}{7} \times r \times 14}}} \\ \\ \qquad{\longrightarrow{\sf{88 =\dfrac{44}{\cancel{7}}\times r \times \cancel{ 14}}}} \\ \\ \qquad{\longrightarrow{\sf{88 =44 \times r \times 2}}} \\ \\ \qquad{\longrightarrow{\sf{88 =88 \times r}}} \\ \\ \qquad{\longrightarrow{\sf{r = \frac{88}{88}}}} \\ \\ \qquad{\longrightarrow{\underline{\underline{\sf{\pink{r = 1 \: cm}}}}}} \end{gathered}[/tex]

Hence, the radius of cylinder is 1 cm.

———————————————————————

Now, finding the diameter of cylinder by substituting the values in the formula :

[tex]\begin{gathered} \qquad{\longrightarrow{\sf{d = 2r}}} \\ \\ \qquad{\longrightarrow{\sf{d = 2 \times 1}}} \\ \\ \qquad{\longrightarrow{\underline{\underline{\sf{\red{r = 2 \: cm}}}}}}\end{gathered}[/tex]

Hence, the diameter of the base of the cylinder is 2 cm.

[tex]\rule{300}{2.5}[/tex]

CSA of a cylinder = 88 cm²

height = 14 cm

diameter = ?

CSA of a cylinder = 88 cm²

2πrh = 88 cm²

[tex]2 \times \frac{22}{7} \times r \times 14 = 88 cm²[/tex]

[tex]2 \times \frac{22}{1} \times r \times2 \: = 88 cm²[/tex]

[tex]2 \times 22 \times r \times 2 = 88 cm²[/tex]

[tex]88r = 88 cm²[/tex]

[tex]r = \frac{88}{88} [/tex]

[tex]r = 1 [/tex]

Diameter = radius + radius

= 1 + 1

= 2

Answer:

[tex]x^{2} +2y^{2} +8xy[/tex]

Step-by-step explanation:

[tex]6x^{2} -4xy + 2y^{2} -5x^{2} +2xy+10xy[/tex]

Okay, so of course you need to add like terms. But where should you start? Well, [tex]6x^{2}[/tex] and [tex]-5x^{2}[/tex] are both like terms, so lets add them first.

[tex]6x^{2} -5x^{2} = x^{2}[/tex]

Also, [tex]-4xy[/tex], [tex]2xy[/tex], and [tex]10xy[/tex] are like terms, so we can add them together too.

[tex]-4xy + 2xy +10xy = 8xy[/tex]

There isn't anymore like terms, so now we need to put it in simplest form.

[tex]x^{2} +2y^{2} +8xy[/tex]

Hope this helps! I actually think 2y^2 is before x^2 in the answer, but unless you need it in simplest form it shouldn't matter. Review with your teacher before turning in if you can. :))

Answer:

  m = 4√6

Step-by-step explanation:

Using the "geometric mean" relations applicable to this triangle, the value of m is the geometric mean of the hypotenuse segments it touches:

  m = √((8)(8+4)) = √96

  m = 4√6

__

Additional comment

Similarly, n = √(4×8) = 4√2.

These relations come from the similarity of the triangles. For m, the proportion is ...

  long side/hypotenuse = 8/m = m/12

  96 = m²   ⇒   m = 4√6