Caitlin earns $7.00 an hour doing yard work for her neighbor. She worked 3 hours Friday, 4 hours Saturday, and more hours Sunday. She earned $77.00 for the weekend. How many hours did she do yard work on Sunday?

Answer:

2

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

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The theoretical probability of selecting a rough bead is 1/2.

Total number of beads = 52

Number of rough beads = 26

Number of smooth beads =26

Probability is the measurement of possibilities.

P(event) = favorable outcomes/total outcomes

P(rough) = number of rough beads/ total beads

P(rough) =26/52

P(rough) =1/2

Therefore, the theoretical probability of selecting a rough bead is 1/2.

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Answer: 1/2

Step-by-step explanation:

Answer:

31

do 180-149 which gets you 31, 31 is the angle inside the triangle closest to 149. since the those 2 sides are congruent it makes the 2 angles congruent. then x=31

Answer:

to have an infinite number of solutions, the lines have to be on top of each other.....basically, they have to be the same line.

y = 3x - 1

-3x + y = -1.....multiply by -1

3x - y = 1 <== this would be ur other equation because if u put this in slope intercept form (y = mx + b), it would be the same as y = 3x - 1

Step-by-step explanation:

Answer:

i believe its 2$ per pound but not completely sure

Step-by-step explanation:

there are 36 quarters.

Let the number of nickels be x

Let the number of quarters be y

Value Value

Type Number of of

of of EACH ALL

coin coins coin coins

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

nickels x $0.05 $0.05x

quarters y $0.25 $0.25y

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

TOTALS 52 ----- $3.60

The first equation comes from the second column.

x + y = 11

The second equation comes from the last column.

0.05x + 0.25y = 3.60

Get rid of decimals by multiplying every term by 100:

5x + 25y = 360

So we have the system of equations:

x+y=52

5x+25y=360

We solve by substitution. Solve the first equation for y:

x + y = 52

y = 52 - x

Substitute (52 - x) for y in 5x + 25y = 360

5x + 25(52 - x) = 360

5x + 1300 - 25x = 360

-20x + 1300 = 360

-20x = -940

x = = 5 the number of nickels.

Substitute in y = 52 - x

y = 52 - (5

y = 47 quarters.

The number of quarters is 52-x or 52-5 or 47 quarters.

Step-by-step explanation:

4×100=400

400÷7=57.14......

hope it helps!

have a great day :)

Answer:

indian ocean

Step-by-step explanation:

Answer: f (-1) = 9

Step-by-step explanation:

You just have to substitute -1 for x

f (-1) = -3 (-1)^2 + 2 (-1) - 5

f (-1) = 3^2 + -2 - 5

f (-1) = 9 - 7

f (-1) = 2

I think I'm correct so I hope this helped!

[tex]f(-1)=-3.(-1)^{2} +2.(-1)-5\\=\\-3.1+(-2)-5\\-3+(-2)-5\\-5-5=-10[/tex]

Answer: 26.7m

Step-by-step explanation:

Since a decagon has 10 sides, you'll have to divide 267m by 10.

267÷10= 26.7

One side of the decagon is 26.7m

Answer:

∠ 5 = 49°, ∠ 6 = 131°

Step-by-step explanation:

∠ 5 and 49° are corresponding angles and are congruent, then

∠ 5 = 49°

∠ 5 and ∠ 6 are adjacent angles and are supplementary, sum to 180° , that is

∠ 6 + ∠ 5 = 180°

∠ 6 + 49° = 180° ( subtract 49° from both sides )

∠ 6 = 131°

Answer:

1. D

2. y = 15.50x + 450

Step-by-step explanation:

1. Since it is a function, the missing pair can't repeat input values with different output, therefore only option D is unique so is the correct choice.

2. x  > (y - 450)/ 15.50

i) Rita gets paid $450 per week.

ii) She gets $15.50 for every new membership she sells.

iii) let y represent the total pay per week.

iv) let x represent the number of new memberships sold.

v) the equation representing total pay is y = 15.50x + 450.

vii) therefore the equation that represents a higher rate of membership sold is given by  x  > (y - 450)/ 15.50

Answer:

2.46

Step-by-step explanation:

csc24° = 2.45859

Answer:y=(-2x+1) (x+1)

Step-by-step explanation:

2x+y=-2x^2 +3x+1

y=-2x^2+x+1

y=-2x^2 -2x+x+1

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

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

Answer:

Base=40m and

Altitudes=20m

Step-by-step explanation:

Area of the field can be calculated as

Area= total cost / rate

Where total cost= 4,000 rupees

Rate= 10 per m2

Area of the field= 4000/10

= 400m^2

Let the altitudes be denoted as "x metre"

Then the base = 2x

Area= 1/2bh

Where b= base

h= altitudes

Then if we substitute we have

400m^2= 1/2× x × 2x

400= x^2

x= √400

x=20m

Then altitudes = 20m

the base = 2x= 2×20=40m

Hence, it base and altitude are 40m and 20m respectively.

Answer:

[tex]3(b + 3) = 2a + 27 \\ 3b + 9 = 2a + 27 \\ \boxed{- 2a + 3b= 18}[/tex]

hope this helps.

Answer:

D because 0.75 in fraction form is 3/4 and 3/4 is greater then 2/3 which is the graphs rate of change.

Step-by-step explanation:

Answer :

[tex] \underline{ \boxed{x = \frac{2(A_T) }{(AB) + (AC) + (BC)} }}[/tex]

Explanation :

[tex]i \: figured \: it \: out \to \: notice \: that \\ there \: are \:( thre e\: trianges) \: in \: triangle \: ( ABC) \\ and \: they \: all \: have \: the \: same \: height \: = x \\ first \: triangle \: is \: \to \: triangle \: (ABD) \\ second\: triangle \: is \: \to \: triangle \: (ACD) \\ third \: triangle \: is \: \to \: triangle \: (BCD) \\ if \: the \: area \: of \: a \: triangle \: is \: = \frac{1}{2} bh : then \to \\ the \: area \: of \: triangle \: (ABD) = \frac{1}{2} (AB)x \\ the \: area \: of \: triangle \: (ACD) = \frac{1}{2} (AC)x \\ the \: area \: of \: triangle \: (BCD) = \frac{1}{2} (BC)x \\ let \: the \: total \: area \:(A_T) \: be \to \: \frac{1}{2} (AB)x + \frac{1}{2} (AC)x + \frac{1}{2} (BC)x \\ if \to\\ (A_T) = \frac{1}{2} (AB)x + \frac{1}{2} (AC)x + \frac{1}{2} (BC)x \\ then \to \\ (A_T) = \frac{1}{2} \{(AB)x + (AC)x + (BC)x \} \\ x \{(AB) + (AC) + (BC) \} = 2(A_T) \\ x = \frac{2(A_T) }{(AB) + (AC) + (BC)} [/tex]

 Expression representing the length 'x' will be, [tex]x=\frac{(AB)(AC)}{AC+BC+AB}[/tex].

Use the hint → Area of the large triangle = sum of the small triangles inside the larger triangle

Area of ΔABC = [tex]\frac{1}{2}(AB)(AC)[/tex]

Area of ΔADC = [tex]\frac{1}{2}(AC)(x)[/tex]

Area of ΔBDC = [tex]\frac{1}{2}(BC)(x)[/tex]

Area of ΔADB = [tex]\frac{1}{2}(AB)(x)[/tex]

Since, Area of ΔABC = Area of ΔADC + Area of ΔBDC + Area of ΔADB

[tex]\frac{1}{2}(AB)(AC)=\frac{1}{2}(AC)(x)+\frac{1}{2}(BC)(x)+\frac{1}{2}(AB)(x)[/tex]

[tex](AB)(AC)=[(AC)+(BC)+(AB)](x)[/tex]

[tex]x=\frac{(AB)(AC)}{AC+BC+AB}[/tex]

    Therefore, expression representing the length 'x' will be [tex]x=\frac{(AB)(AC)}{AC+BC+AB}[/tex].

Learn more about the in-center of a triangle here,

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Answer:

Step-by-step explanation:

since the hypotenuse of 6 cm is shorter than the base of 8 cm there is something wrong with this drawing.  The box can't be square so maybe answer C is good but.. since this box isn't a right angled box.. we really don't know.   This is a bad question b/c it's making the appearance of being a right angle but it can not be.  Like an Escher drawing..  not possible irl  

The volume of the rectangular prism is 8×2×3 cubic in or 48 cubics in option (B) 8×2×3 cubic in is correct.

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape. It is also called a cuboid.

The missing height of the rectangular prism is 3 cm

It is given that:

The rectangular prism is shown in the picture with dimensions.

As we know, the volume of the rectangular prism is given by:

V = length×width×height

Length = 2 cm

Width = 8 cm

Height = 3 cm

The volume of this figure:

V = 2×8×3

Or

The volume of this figure V = 8×2×3 cubic in

Thus, the volume of the rectangular prism or the volume of the figure is 8×2×3 cubic in or 48 cubics in option (B) 8×2×3 cubic in is correct.

Learn more about the rectangular prism here:

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Answer

ANGLE SIDE SIDE

Step-by-step explanation: Because you have an angle side side hope this helps

Answer:

the factors are:

[tex]\frac{2}{3}\times \frac{3}{5}[/tex]

Option C is correct option.

Step-by-step explanation:

The overlapping section(green colours common for both) while blue represents first factor and yellow represent second factor.

Solving:

The first part of the factor is considered horizontal rows (as shown in figure)

So, we have 3 horizontal rows and 2 rows are coloured so, the fraction will be: [tex]\frac{2}{3}[/tex]

For the second factor, we consider vertical columns (as shown in figure)

So, we have 5 columns and 3 columns are coloured so, the fraction will be: [tex]\frac{3}{5}[/tex]

So, the result will be:

[tex]\frac{2}{3}\times \frac{3}{5}=\frac{6}{15}[/tex]

So, the factors are:

[tex]\frac{2}{3}\times \frac{3}{5}[/tex]

Option C is correct option.

1. C

2. A

3.B

4.D

Step-by-step explanation:

A,B,C,D are the possible answers in order. 1,2,3,4 are the questions in order. 1. n is greater than or equal to 4 means that n's value is larger than 4 or 4. so it would be greater than with a line underneath. 2. n is less then 4. this means n's value is any real number less than 4. so it would be n is less than 4. n is less than or equal to 4 means that it can be any real number less than 4 or 4 itself, so it would be n is less than 4 with a line underneath. process of elimination leaves just 1 answer for 4