Steven earns extra money babysitting. He charges $37.00 for 4 hours and $55.50 for 6 hours. Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges.

Given :

Heather spend 2/7 of her money buying presents.

She then had €48.65 left.

To Find :

The initial amount of money she had.

Solution :

Let, initial amount she had is €x.

So,

[tex]x - \dfrac{2x}{7} = 48.65\\\\\dfrac{5x}{7} = 48.65 \\\\x = \dfrac{48.65\times 7}{5}[/tex]

x = €68.11

Therefore, initially he had €68.11 .

Answer:

244 ft²

Step-by-step explanation:

Rectangle Base Area: 6•4=24

Rectangle Side Area: 8•10=80; 80•2(sides) = 160

Triangle Sides Area: (10•6=60); 60/2(area of triangle) = 30; 30•2(sides)=60*

*Technically can skip the divide by two and then multiply by two, since they cancel out*

(Area of Triangle Formula= 1/2bh)

Add areas together: 24+160+60= 244 ft²

Answer:

0.206 and then it repeats 6 over and over again

Step-by-step explanation:

hope it helped :)

Answer:

Step-by-step explanation:

the answer is:

0.20666666666

Answer:

a)  ( r+ s) (x)  = 3 x + 9

b)   ( r . s ) (x) =  2 x² + 13 x +20

c) ( r- s) (x)  = -1 -x

Step-by-step explanation:

Step(i):-

Given that r(x) = x +4 and s(x) =  2x + 5

a)   ( r+ s) (x)  = r(x) + s(x)

                    = x +4 + 2x +5

                   = 3 x + 9

    ( r+ s) (x)  = 3 x + 9

b)

    ( r . s ) (x)  = r(x) . s(x)

                    = (x+4) . ( 2x +5)

                   = x ( 2x +5) + 4( 2x +5)

                  = 2 x² + 5 x + 8 x +20

                 = 2 x² + 13 x +20

( r . s ) (x) =  2 x² + 13 x +20

c)

 ( r- s) (x)  = r(x) - s(x)

               =  (x+4 - ( 2x +5)

              = x +4 - 2x -5

            = -x -1

( r- s) (x)  = -1 -x

Answer:

C

Step-by-step explanation:

1 inch=400 miles

x =200 miles

200 is half of 400, so the measurement should be halved as well.

Answer:

8/27

Step-by-step explanation:

2 2/3 = 8/3

8/3 divided by 9 =

8/3 x 1/9 =

8/27

Answer:  try downloading an app for math

Step-by-step explanation:

It helps me

Answer:

32.8

Step-by-step explanation:

you divide 8 1/5 by 1/4 to find the unit rate.

Answer:

21/3 i think

Step-by-step explanation:

uh-

well 2+2 is 4 and 7/3x=2/3 is 2/7

Answer:

The answer is below

Step-by-step explanation:

1) A triangle is a polygon with three sides and three angles. There are different types of triangles such as obtuse, scalene, right angle, equilateral and isosceles triangle.

Given that triangle ABC is right angled and AC = 25 cm = hypotenuse and BC = 15 cm. Using Pythagoras:

AC² = BC² + AB²

25² = AB² + 15²

AB² = 25² - 15²

AB² = 400

AB = √400

AB = 20 cm

Using sine rule:

[tex]\frac{sin(B)}{AC}=\frac{sin(A)}{BC}=\frac{sin(C)}{AB}\\\\But\ \angle B= 90^o(right\ angle)\ hence:\\\\ \frac{sin(B)}{AC}=\frac{sin(A)}{BC}\\\\\frac{sin(90)}{25}=\frac{sin(A)}{15}\\\\sin(A)=\frac{sin(90)}{25}*15\\\\sin(A)=0.6\\\\A=sin^{-1}(0.6)\\\\A=36.87^o[/tex]

2)

Using Pythagoras:

hypotenuse² = 8² + 6²

hypotenuse² = 100

hypotenuse = √100

hypotenuse = 10

Using sine rule:

[tex]\frac{sin(x)}{8}=\frac{sin(90)}{10}\\\\sin(x)=\frac{sin(90)}{10}*8\\\\sin(x)=0.8\\\\x=sin^{-1}(0.8)\\\\x=53.13 ^o[/tex]

Answer:

In Geometry, there are five fundamental angle pair relationships:

Complementary Angles.

Supplementary Angles.

Adjacent Angles.

Linear Pair.

Vertical Angles.

The measure of the angle u and angle t will be 29 degrees.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

The angle u is congruent to angle t.

From the diagram, angle t, angle u, and angle 122 are supplementary angles. Then the equation is given as,

∠t + ∠u + 122° = 180°

∠t + ∠t  = 58°

2∠t = 58°

∠t = 29°

The measure of the angle u and angle t will be 29 degrees.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ5

Answer:

The midpoint of the line segment   D = ( 4, 6)  

Step-by-step explanation:

Explanation:-

Given points are A(8,7) and B(0,5)

The midpoint of line segment overline AB

Let 'D' be the midpoint of AB

[tex]D= (\frac{x_{1} + x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )[/tex]

[tex]D = (\frac{8+0}{2} , \frac{7+5}{2} )[/tex]

[tex]D = (\frac{8}{2} , \frac{12}{2} )[/tex]

The midpoint of the line segment

 D = ( 4, 6)  

Answer:

Josh charges $5 more than Lindsay

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

lindsay's equation is y=6x+15.

you compare the first row and second row to find the cost per dog and then subtract from the total to find the initial cost.

Answer:

0.175

Step-by-step explanation:

[tex]\frac{4j}{4} =\frac{0.7}{4}[/tex]

j=0.175

Answer:

[tex]P(L\ or\ C) = 0.13[/tex]

Step-by-step explanation:

Given

Represent loose threads with L, Crooked stitching with C.

So, we have:

[tex]P(L) = 6.5\%[/tex]

[tex]P(C) = 9.5\%[/tex]

[tex]P(L\ and\ C) = 3\%[/tex]

Required

Calculate P(L or C)

In probability:

[tex]P(A\ or\ B) = P(A) + P(B) - P(A\ and\ B)[/tex]

In this case:

[tex]P(L\ or\ C) = P(L) + P(C) - P(L\ and\ C)[/tex]

Substitute values for P(L), P(C) and P(L and C)

[tex]P(L\ or\ C) = 6.5\% + 9.5\% - 3\%[/tex]

[tex]P(L\ or\ C) = 13\%[/tex]

Convert to decimal

[tex]P(L\ or\ C) = 0.13[/tex]

Hence:

The required probability is 0.13

Answer:

h(x) = (1/4)x - 2 which is choice A

Step-by-step explanation:

Replace f(x) with y. Then swap x and y. Lastly, solve for y to get the inverse.

f(x) = 4x+8

y = 4x+8

x = 4y+8

x-8 = 4y

4y = x-8

y = (x-8)/4

y = x/4 - 8/4

y = (1/4)x - 2

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

Answer:

[tex]tan\:\left(\frac{5\pi }{6}\right)=tan\left(-\frac{\pi }{6}\right)[/tex]

Option A is correct.

Step-by-step explanation:

We need to find equivalent of [tex]tan\:\left(\frac{5\pi }{6}\right)[/tex]

First we solve [tex]tan\:\left(\frac{5\pi }{6}\right)[/tex]

We get [tex]-\frac{1}{\sqrt{3} }[/tex]

Now checking all the options.

Option A: [tex]tan\:(-\frac{\pi}{6} )[/tex]

Solving [tex]tan\left(-\frac{\pi }{6}\right)\: we\: get\: \mathbf{ -\frac{1}{\sqrt{3} }}[/tex]

Option B: [tex]tan\left(\frac{7\pi }{6}\right)[/tex]

Solving [tex]tan\left(\frac{7\pi }{6}\right)\: we\: get\: \mathbf{\frac{1}{\sqrt{3} }}[/tex]

Option C: [tex]cot\left(\frac{5\pi }{6}\right)[/tex]

Solving [tex]cot\left(\frac{5\pi }{6}\right)\:we\:get\:\mathbf{-\sqrt{3} }[/tex]

Option D : [tex]tan\left(-\frac{5\pi }{6}\right)[/tex]

Solving [tex]tan\left(-\frac{5\pi }{6}\right) \:we\:get:\mathbf{\frac{1}{\sqrt{3} } }[/tex]

So, looking at the options, only Option A has the same result as given question

So, [tex]tan\:\left(\frac{5\pi }{6}\right)=tan\left(-\frac{\pi }{6}\right)[/tex]

Option A is correct.

Answer: If you see my picture and you will see my answer

Step-by-step explanation: Hope this help

Answer:

Area of triangle is 1 inches²

Step-by-step explanation:

We are given:

Base of triangle = 16 inches

Height of triangle = [tex]\frac{1}{8} \:[/tex] inches

We need to find:

Area of triangle

The formula used to find Area of triangle is:

[tex]Area \:of\: triangle=\frac{1}{2}\times b \times h[/tex]

where b is base and h is height.

Putting values and finding area:

[tex]Area \:of\: triangle=\frac{1}{2}\times 16 \times \frac{1}{8}\\ Area \:of\: triangle=\frac{16}{16}\\ Area \:of\: triangle=1\:inches^2[/tex]

So,  Area of triangle is 1 inches²

Answer:

The answer is below

Step-by-step explanation:

From the question,

Statement                                           Reason

ΔWZX and ΔYZX are                         Given

right angled triangles

WX = YX                                              Given

XZ ≅ XZ                                               Reflexive property. The reflexive  

                                                            property of congruence states that              

                                                            any shape is congruent to itself.

∠XZW = ∠XZY                                     Definition of right angle.

∠XWZ = ∠XYZ                                     Definition of isosceles triangle.

                                                             Triangle XYW forms a right angled  

                                                             triangle since YX = WX

∠XWZ + ∠WXZ + ∠XZW = 180°           Sum of angles in triangle WZX

∠XZY + ∠XYZ + ∠YXZ = 180°            Sum of angles in triangle YZX

∠XWZ + ∠WXZ + ∠XZW =                 Substitution

∠XZY + ∠XYZ + ∠YXZ

∠XYZ + ∠WXZ + ∠XZY =                 Substitution

∠XZY + ∠XYZ + ∠YXZ

∠WXZ = ∠YXZ                                  Simplification

Answer: part a: area = bh part b: split it on its diagonals

Step-by-step explanation:

Hence, the two way frequency table is:

                  Action                 Drama                Comedy         total

Highschool  26/128=0.20          14/128=0.11           22/128=0.17     0.48      

College      20/128=0.16            28/128=0.22        18/128=0.14      0.52          

----------------------------------------------------------------------------------------------------------

total                   0.36                        0.33                     0.31                   1

Step-by-step explanation:

" When a two-way table displays percentages or ratios (called relative frequencies), instead of just frequency counts, the table is referred to as a two-way relative frequency table " .

We are given a table or data  as:

                         Action              Drama                     Comedy     Total

Highschool        26                     14                            22                 62

College              20                     28                            18                 68

------------------------------------------------------------------------------------------------------------

Total                            46                      42                           40               128

The total number of students in all the categories and classes are: 128

Hence the two way frequency table is constructed by dividing all the frequencies by the total number of students i.e. 128.

                               Action                 Drama                Comedy         total

High school      26/128=0.20          14/128=0.11           22/128=0.17     0.48      

College           20/128=0.16            28/128=0.22        18/128=0.14      0.52          

----------------------------------------------------------------------------------------------------------

total                      0.36                        0.33                     0.31                   1

Answer:

It would be the first table (taking the test right now) p.s sorry if im late

Step-by-step explanation:

CA TX NY FL Total

Boys 0.21 0.095 0.16 0.11 0.575

Girls 0.125 0.11 0.065 0.125 0.425

Total 0.335 0.205 0.225 0.235 1

Answer:

50

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

3500 ÷ 70 = 50

3500 ÷ 50 = 70

Answer:

(a,m=(-1499/1812, 1/2)

Step-by-step explanation:

hope this helps!

Answer:

that is simple, use the graph and put parenthesis around say 1 and 2 then graph it then keep doing that throughout the graph if you want further explanation just ask

Step-by-step explanation:

Answer:

y - 0 = -⅔(x - 3)

Step-by-step explanation:

Given a point, (a, b) and slope, m, equation of the line in point-slope form can be written.

Thus:

Substitute (a b) = (3, 0), and m = -⅔ into y - b = m(x - a).

y - 0 = -⅔(x - 3) (the equation in point-slope form)

Answer:5n+10d=365.7 pennies

Step-by-step explanation:

Answer:

sssssssssiiiiiiiiiiiiii

Answer:

6

Step-by-step explanation: