A garden table and a bench cost $935 combined. The garden table costs $85 more than the bench. What is the cost of the bench?

Answer:

9%

Step-by-step explanation:

The percentage of the yearly labour cost for the parking staff is 9%.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that if the total labour cost is $865,000 and $78,000 is for parking attendants.

The percentage of the yearly labour cost for the parking staff is calculated below:-

Percentage = 78000 / 865000

Percentage = 0.09 x 100

Percentage = 9%

Therefore, the percentage of the yearly labour cost for the parking staff is 9%.

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Given:

The LCM of two numbers is 14 times their HCF.

The sum of LCM and HCF is 600.

One number is 280.

To find:

The other number.

Solution:

Let HCF of two numbers be x.

The LCM of two numbers is 14 times their HCF.

LCM = 14x

The sum of LCM and HCF is 600.

[tex]14x+x=600[/tex]

[tex]15x=600[/tex]

[tex]x=\dfrac{600}{15}[/tex]

[tex]x=40[/tex]

So, HCF = 40 and the LCM is

[tex]LCM=14(40)[/tex]

[tex]LCM=560[/tex]

We know that, if a and b are two numbers, then

[tex]a\times b=LCM(a,b)\times HCF(a,b)[/tex]

One number is 280.

[tex]280\times b=560\times 40[/tex]

[tex]b=\dfrac{560\times 40}{280}[/tex]

[tex]b=2\times 40[/tex]

[tex]b=80[/tex]

Therefore, the other number is 80.

Answer:

x=1

Step-by-step explanation:

Add

16

to both sides of the equation.x=−15+16 Add −15 and 16.x=1

Answer:

Step-by-step explanation:

-16 + x = - 15

Add 16 to both sides

-16 + 16 + x  = -15 + 16

              x = 1

Answer:

C.

Step-by-step explanation:

Answer:

660

brainliest???????????

Step-by-step explanation:

Answer:

660

Step-by-step explanation:

142.8% * 461 = 1.428 * 461 = 658.308.

Rounding 658.308 to the nearest 10th, we get:

660

Answer:

1 and 3

Step-by-step explanation:

Answer:

The answer is

[tex] \frac{1}{2} \: and \: \frac{ \sqrt{2} }{2} [/tex]

Step-by-step explanation:

Let The point (X, Y)

Since half of the diameter is equal to 1

Then

[tex] {x}^{2} + {y}^{2} = 1[/tex]

Why is the measurement of angle is equal to 60, this triangle was equal

Then

[tex] {(x - 1)}^{2} + {y}^{2} = 1[/tex]

By comparing the equals together

[tex] {x}^{2} = {(x - 1)}^{2} \\ {x}^{2} = {x}^{2} - 2x + 1 \\ 2x = 1 \\ x = \frac{1}{2} \\ Compensation \: in \: any \: equation \\ then \: y = \frac{ \sqrt{2} }{2} [/tex]

Answer:

the third one

Step-by-step explanation:

Answer:

The 3rd

Step-by-step explanation:

Answer:

$4,675

Step-by-step explanation:

The commission is 5.5% of $85,000.

5.5% * $85,000 =

= 0.055 * $85,000

= $4,675

Answer:

$4675

Step-by-step explanation:

85,000 x .055 = 4,675

Hope that helps!

Answer:

m∠2=35°, m∠1=35°

Step-by-step explanation:

∠2 and ∠4 equal 180° when added, so 180-145=35

all angles of a triangle equal 180°, so 180-∠3-∠2=∠1

180-110-35= 35

Answer:

{x,y} = {1,2} I believe <3

Step-by-step explanation:

Answer:

3x - 2y = -1

  [2]    x + y = 3

Step-by-step explanation:

Answer:

86

Step-by-step explanation:

add up all the scores then divide by the amount of test taken. total test score is 516, total test is 6 so 516÷6=86

Answer:

9i

Step-by-step explanation

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I took the test

Given:

The figure of a right angle triangle.

To find:

The value of y.

Solution:

If a right angle triangle,

[tex]\cos \theta=\dfrac{Adjacent}{Hypotenuse}[/tex]

In the given right triangle,

[tex]\cos (30^\circ)=\dfrac{4\sqrt{3}}{y}[/tex]

[tex]\dfrac{\sqrt{3}}{2}=\dfrac{4\sqrt{3}}{y}[/tex]

[tex]\sqrt{3}\times y=2\times 4\sqrt{3}[/tex]

[tex]\sqrt{3}\times y=8\sqrt{3}[/tex]

Isolate the y variable.

[tex]y=\dfrac{8\sqrt{3}}{\sqrt{3}}[/tex]

[tex]y=8[/tex]

Therefore, the value of y is 8.

Answer: x = 2

Step-by-step explanation: the interior angles of a rhombus add to 360 degrees and since half of 360 is 180, create the equation 130 + (36 +7x) and set it equal to 180. when solved 130 + (36 +7x) = 180 you get x =2

answer

1st rearrange the terms. then subtract 36 in both sides.then you will get 94=7x then simplify  by dividing by 7. then you will get 13.4285714286. which if you round up maybe its 94/7.

Answer:

C

Step-by-step explanation:

Remark

There are three rectangles all the same size.

There are two triangles both the same size

Triangles.

Givens

b = 7.5 cm

h = 6.5

Solution

Area 1 triangle =   1/2 * 7.5 * 6.5

Area 1 triangle = 24.375

Area 2 triangles = 2*24.375 =                            48.75

Rectangles

Givens

L = 13.5

w = 7.5

Solution

Area one rectangle = L*w

Area one rectangle = 13.5*7.5

Area one rectangle = 101.25

Area three rectangles =  3*101.25

Area three rectangles =                                   303.75    Add

Total Area =                                                      352.5              

Answer:

14

Step-by-step explanation:

delta math gave me the answer

The length of a to the nearest 10th of an inch is 13.6 inches.

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have,

In ΔQRS q=9.6 inches r=9.9 inches and S=92.

So, s² = q² + r² - 2qr cos s

s² = 9.6² + 9.9² + 2(9.6)(9.9) cos 92.

s² = 190.71 + 190.08 x (-0.035)

s² = 183.52

s = 13.55

s = 13.6 inches

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Answer:

x= -5

Step-by-step explanation:

-2x+10=20

-2x+10-10=20-10

-2x=10

-2x/-2=10/-2

x = -5

Answer:

$552.90

Step-by-step explanation:

There are 52 weeks in a year

28,751/52= 552.9038462

since this is money you just round

Answer:

56

42

35

Step-by-step explanation:

Let's solve your equation step-by-step.

−3(x+4)=−24

Answer:

x=4

Answer:

1cm³

Step-by-step explanation:

You do not need a calculator for this.

The formula for the volume of a rectangular prism is:

Length × Width × Height = Volume

If we substitute our numbers in:

5/4 × 4/3 × 3/5 = 1cm³

All you need to do is multiply across.

5 × 4 × 3 = 60

4 × 3 × 5 = 60

The numerator and denominator both equal 60. So the fraction would look like this if you were to keep it as a fraction.

60/60

Answer: $43.13

Step-by-step explanation:

The cost of a gallon of gasoline is $3.45.

Jenny bought 12.5 gallons of said gasoline. Her total cost is therefore:

= Cost of a gallon * number of gallons purchased

= 3.45 * 12.5

= $43.13

Answer:

43.14

Step-by-step explanation:

Answer:

[tex]120x^4\sqrt{2}[/tex]

Step-by-step explanation:

First we need to break down the numbers in the radicals into its factors

so

12= 3*2*2

x³=x*x*x

Which means we have

[tex]10\sqrt{3*2*2*x*x*x}=20x\sqrt{3x}[/tex]

and

[tex]2\sqrt{2*3*x*x*x*x*x} =2x^{2} \sqrt{6x}[/tex]

Because the radicand (the small number that goes up top) are the same we can just mulitply the two from here

which means we have

[tex](20x*2x^2)\sqrt{3x*6x}=40x^3\sqrt{18x^2} \\\sqrt{18x^2}=\sqrt{2*3*3*x*x} =3x\sqrt{2} \\=120x^4\sqrt{2}[/tex]

Answer:

The angle is 68.2 degrees

Step-by-step explanation:

Let us have the shorter side as the width

In that case, the opposite will be the length which is 8 cm

The diagonal is the hypotenuse

The short side is the adjacent

The trigonometric ratio that links the opposite and the adjacent is the tan

tan of an angle is the ratio of its opposite to the adjacent

In this case,

tan theta = 8/3.2

theta = arc tan (8/3.2)

theta = 68.2 degrees