5. Cole worked for a concrete company last weekend. On Saturday, his gross income was $350
and his net income was $307.05. On Sunday, his gross income was $280 and his net income
was $246.35. What amount did Cole pay in payroll tax last weekend?

Answer:

5/4 pounds

Step-by-step explanation:

Using unitary method:

4 days-------5 pounds

1 day---------5/4 pounds

The number of bushes that is approximately needed for Mrs. Chase's backyard is 23 bushes

The number of bushes needed = perimeter of the backyard / 3 feet

The perimeter of the backyard is the sum of the three sides of the right triangle that is the shape of the backyard. The length of the third side would be detemined using Phythagors theorem.

Length of the third side : √30² - 12² = 27.50 feet

Perimeter of the backyard = 27.50 + 12 + 30 = 69.50 feet

The number of bushes needed =69.50 / 3 = 23.17 = 23 bushes

To learn more about triangles, please check: https://brainly.com/question/22949981

Answer:

290 8s the answer because 15 mutiplyed by 8 plus 17 multiplyed by 10 give you 290

[tex]\fbox{Surface \: area \: of \: prism = 520 \: sq.in.} [/tex]

Given:

height of prism h = 10 in

length of base of triangle b = 8 in

height of triangle h' = 15in

side A of triangle = 17 in

To find:

Surface area of prism = ?

Solution:

[tex]\begin{gathered}Area \: of \: base \: triangle = \: \frac{1}{2}\cdot{b}{h'} \\ Area \: of \: base \: triangle = \frac{1} {\not2}\cdot{15} \times \not{8} \\ Area \: of \: base \: triangle = 60 \: {in}^{2} \end{gathered}[/tex]\\[tex]\fbox{Area \: of \: base \: triangle \: (B) = 60 \: sq.in. }\\\begin{gathered}Perimeter \: of \: base \: triangle = Side A + Height \: h' + base \: b \\ Perimeter \: of \: base \: triangle = 15 + 17 + 8 \: in\\ Perimeter \: of \: base \: triangle = 40 \: in\end{gathered}

[/tex]

[tex]\fbox{Perimeter \: of \: base \: triangle (p) \: = 40 \: in} [/tex]

[tex]\begin{gathered}Surface \: area \: of \: prism = 2B+ \: ph \\ Surface \: area \: of \: prism = 2 \times 60+ \: 40 \times 10 \\ Surface \: area \: of \: prism = 120 + 400\\ Surface \: area \: of \: prism = 520 \: {in}^{2} \end{gathered} [/tex]

[tex]\fbox{Surface \: area \: of \: prism = 520 \: sq.in.} [/tex]

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Answer:

24040.625

Hope this helped! I'm not good at explaining the steps, but this is the answer.

Answer:

80

Step-by-step explanation:

if you make a ratio table

32ginger ale = 12orange juice

now we now 6x5=20 so we can divide 12 by 2 which would give us 6 and the same with 32 which would give us 16 now you have

16ginger ale = 6 orange juice

and we need 30 orange juice so 6x5= 30 and we multiply 16 by 5 too so 16x5=80 t

therefore

80 ginger ale = 30 orange juice

Answer:

1- 34,000 Millimeters in 34 meters

2- 50 Millimeters in 5 Cm

3- 6mm is already in milimeter form

Step-by-step explanation:

1000 Millimeters are in 1 meter so 34,000 millimeters are in 34 meters

10 millimeters are in 1 CM, so 50 millimeters make up 5 cm

Answer:

34m=34x10³mm=34000mm

5cm=5x10mm=50mm

6mm=6mm

Answer:

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

The graph shown is f(x).

3. The graph 3  is the same shaped graph as drawn but moved 3 units to the left.

4. The graph 4  is the same shaped graph as drawn but moved 5 units to the right.

Hope this helps.

Answer:

X/4 = 2

X=8

8 divided by 4 is 2 and 4x2 is 8

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =80 \end{cases}\implies \begin{array}{llll} A=\cfrac{(80)\pi (8)^2}{360}\implies A=\cfrac{128\pi }{9} \\\\\\ A\approx 44.68~in^2 \end{array}[/tex]

The ABC and XYZ statements are trigonometric statements

A. sin^2 ⁡θ

To do this, we apply the following trigonometric ratio

sin^2 ⁡θ + cos^2 ⁡θ = 1

Subtract cos^2 ⁡θ from both sides

sin^2 ⁡θ = 1 - cos^2 ⁡θ

Hence, the equivalent of A is Z

B. sin⁡(-θ)

Assume that θ is an acute angle, then we have:

sin⁡(-θ) = -sin⁡θ

Hence, the equivalent of B is X

C. tan⁡θ

Using the trigonometry formula, we have:

tan⁡θ = sin⁡θ/cos⁡θ

Hence, the equivalent of C is Y

Read more about trigonometry ratios at:

https://brainly.com/question/11967894

Step-by-step explanation:

Notice the domain for both function is all real numbers.

So if we either add, subtract, multiply, or compose the functions, the domain will be all real numbers.

Answer:12 i think

Step-by-step explanation:

Step-by-step explanation:

1) option A OR B AS THEY ARE THE SAME

2) option a

Answer: question 1 is b

Question 2 is a

Step-by-step explanation: hope it helps

in question 1 a and b are the same so choose this or this

Answer:

(x-6)^2 + (y+1)^2=40

Step-by-step explanation:

see image. Use Midpoint Formula to find the center. Then use Distance Formula to find the diameter. Cut the diameter in half to find the radius. Use the circle formula to insert (h,k) the center and r, the radius to find the equation. See image.

Answer:  [tex](x - 6)^2 + (y + 1)^2 = 40[/tex]

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

Explanation:

The x coordinates of the given endpoints are x = 8 and x = 4. Apply the midpoint to them to get [tex]\frac{x_1+x_2}{2} = \frac{8+4}{2} = \frac{12}{2} = 6[/tex] which is the x coordinate of the midpoint. I added them up and divided by 2.

Similar steps will have the y coordinate of the midpoint be

[tex]\frac{y_1+y_2}{2} = \frac{-7+5}{2} = \frac{-2}{2} = -1[/tex]

Overall, the midpoint of those given points is (6, -1)

This is the center of the circle because the two endpoints are part of a diameter.

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

Now turn to the template

[tex](x - h)^2 + (y -k )^2 = r^2[/tex]

We will plug in the center (h,k) = (6, -1) and one of the endpoints for (x,y). Let's say we go for (x,y) = (4,5)

This leads us to the following:

[tex](x - h)^2 + (y -k )^2 = r^2\\\\(4 - 6)^2 + (5 - (-1) )^2 = r^2\\\\(4 - 6)^2 + (5 + 1 )^2 = r^2\\\\(-2)^2 + (6 )^2 = r^2\\\\4 + 36 = r^2\\\\r^2 = 40\\\\[/tex]

We don't need to isolate r itself. If you wanted, you could take the square root of both sides to see that the radius is [tex]r = \sqrt{40} \approx 6.3246[/tex]. However, again we don't need to solve for r entirely when forming the circle's equation.

With that [tex]r^2[/tex] value in mind, and the h & k values as well, we go from this template

[tex](x - h)^2 + (y -k )^2 = r^2[/tex]

to this final answer

[tex](x - 6)^2 + (y + 1)^2 = 40[/tex]

Answer:

Thus, the total food can be eaten by the cat in 4 weeks.Total weight of a bag of cat food = 3 lbs.The number of lbs the cat eats the food = 3/4 lbs each week.We need to find the number of weeks does one bag that is 3 lbs last.Now, the total food we have is 3 and cats eat 1/4th of total food each week.Thus, the total food can be eaten by the cat in 4 weeks.To know more about it, please refer to the link:brainly.com/question/12457996

Step-by-step explanation:

Answer:

Length= 20m, width=30m Area= 600m²

Step-by-step explanation:

The length becomes 8/2 × 5m=20m

the width becomes 12/2 × 5m=30m

Area = length × width

= 20m × 30m

=600m²

Answer:

Unfortunately I was only able to solve the second question

Step-by-step explanation:

So sorry if I'm wrong but this is what I got:

Volume of a cylinder

V=πr^2h

V=π(4^2)(19)

V=955.04

Lateral S.A.

S.A.=2πrh

S.A.=2π(4)(19)

S.A.=477.52

Total S.A.

S.A.=2πrh+2πr^2

S.A.=2π(4)(19)+2π(4^2)

S.A.=578.05

Answer:

B. 14

Step-by-step explanation:

Add 2 to both sides:)

Answer:

Pencil is $15 and erasers are $5

Answer:

19.63 m^2

Step-by-step explanation:

This is an Area=pi r^2 equation so it would be 3.14*2.5^2

Answer:

x = 6

y = 7

Step-by-step explanation:

10x - 8y = 4   ⇒ ( 1 )

-5x + 3y = -9  ⇒ ( 2 )

( 2 ) × 2

2 × ( -5x + 3y = -9 )

-10x + 6y = - 18  ⇒ ( 3 )

( 1 ) + ( 3 )

10x - 8y -10x + 6y = 4 - 18

-2y = - 14

Divide both sides by ( - 2 )

y = 7

Now let us replace y with 7 to find the value of x.

For that, let us use equation ( 1 ).

10x - 8y = 4

10x - 8 × 7 = 4

10x - 56 = 4

10x = 56 + 4

10x = 60

Divide both sides by 10.

x = 6

Answer:

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

10x-8y=4

x=2(2y+1)/5

Substitute.

[tex]\sf{-5*\dfrac{2(2y+1)}{5}+3y=-9}[/tex]

Solve.

-y-2=-9

Add by 2 from both sides.

-y-2+2=-9+2

Solve.

-y=-7

Divide by -1 from both sides.

-y/-1=-7/-1

Solve.

Divide the numbers from left to right.

-7/-1=7

y=7

Substitute of y=7.

x=2(2*7+1)/5

PEMDAS stands for:

2(2*7+1)/5

Do parenthesis first.

2*7=14

14+1=15

2(15)/5

Multiply.

2*15=30

Divide.

30/5=6

x=6

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

4x - 5y = 25

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

Area of whole shape = Area of greater rectangle - area of smaller rectangle

Area of greater rectangle :

[tex]\qquad \sf  \dashrightarrow \:11 \times 10[/tex]

[tex]\qquad \sf  \dashrightarrow \:110 \: \: ft {}^{2} [/tex]

Area of smaller rectangle :

[tex]\qquad \sf  \dashrightarrow \:7 \times 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:56 \: \: ft {}^{2} [/tex]

Area of composite figure :

[tex]\qquad \sf  \dashrightarrow \:110 \: ft {}^{2} - 56 \: ft {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:54 \: {ft}^{2} [/tex]

Answer:

the answer for this question is 1

Answer:

257mm^2

Step-by-step explanation:

18*(3+15)/2 = 162

4*(15+5) =80

3+5 = 15

total = 257 mm^2

Answer:

Step-by-step explanation:

Area of composite figure:

Shape I:

Shape I is an triangle

base= 3 + 15 + 5 = 23 mm

height =  18 mm

[tex]\boxed{\text{Area of traingle = $\dfrac{1}{2}base*height$}}[/tex]

                          [tex]= \dfrac{1}{2}*18*23\\\\= 9*23\\\\= 207 \ mm^{2}[/tex]

Shape 2:

Shape 2 is an rectangle.

length = 15 + 5 = 20 mm

width = 4 mm

[tex]\boxed{\text{Area of rectangle = length * width}}[/tex]

                             = 20 *4

                             = 80 mm²

Shape 3:

length = 5 mm

widht = 3 mm

Area of shape 3 = 5 * 3 = 15 mm²

Area of the composite shape = 207 + 80 + 15

                                                   = 302 mm²

Answer:

19.8

Step-by-step explanation:

Subtract 130.2 by 110.4