One-fourth of the sum of a number and 10 is 2 less
than twice the number?

Answer:

2/5 :)

Step-by-step explanation:

It will be around 1.6metres

hope it helps

Answer:

1.65 meters

Step-by-step explanation:

1 ft = 0.3048 meters

just multiply

Answer:

The first x=4       y=8

Step-by-step explanation:

2x-5 = y-5

x+1 = y-3

  Multiply the second by -2(to eliminate x)

  2x-5 =y-5

 -2x-2= -2y+6

      ADD BOTH

-7 = -y+1

y=8

            PLUG y

x+1 =y-3

x+1 =8-3

x+1=5

x=4

Answer:

Problem 3: 51°

Problem 5: 5 feet

Step-by-step explanation:

Image 1:

We are asked to find the missing angle. First off, we know that the full semi-circle equals 180 degrees. knowing this, subtract the second angle from 180 to get the smaller angle.

180 - 129 = 51

The unkown angle is 51 degrees.

Image 2:

We are asked to find the missing side. Apply the numbers of the known sides to the Pythagorean Theorem.

a² + b² = c²

a² + 12² = 13²

a² + 144 = 169

a² = 25

a = 5

The missing side is 5 feet.

Answer: [tex]\frac{4}{7}[/tex]

Step-by-step explanation:

P(a) or P(b) = P(a) + P(b)

This means that the probability of a or b is the same of the probability of a plus b

So let's see the probability of a, selecting a professor

[tex]\frac{12}{12+6+9+8} \\\\\frac{12}{35}[/tex]

We won't simplify just yet so that addition will be easier later

Now let's see the probability of selecting b, an instructor

[tex]\frac{8}{12+6+9+8} \\\\\frac{8}{35}[/tex]

Now add the 2 probabilities together

[tex]\frac{12}{35} +\frac{8}{35} =\frac{20}{35}[/tex]

Simplify.

[tex]\frac{20}{35} =\frac{4}{7}[/tex]

Answer:

Step-by-step explanation:

1.  If y =2x

solve for y in (6x +3y) = 12

6x + 3(2x) = 12,   6x + 6x =12

12x = 12 ,  x= 1

to find y ,   from y =2x

y = 2(1)  , ( x = 1 and y = 2)

2.  y = -4x + 2

    y = 6x -8

y = (-4x + 2)(6x-8)

= -4x ( 6x -8) + 2(6x-8)

-24[tex]x^{2}[/tex] + 32x + 2(6x-8)

-24x2 + 44x - 16

3.  y = x -4

  -4x -6y = -16

  -4x - 6(x - 4) = -16

 -4x - 6x - 24 = -16

-10x - 24 = -16

-10x = -16 + 24,   -10x = -8

x = 0.8 , to get y , we input x value into eqn(y = x-4)

y = 0.8 -4,   y = -3.2

x = 0.8,   y = -3.2.

4.  x = 3y + 1

 2x + 4y =12

2(3y + 1)  + 4y = 12

6y + 2 + 4y = 12

10y + 2 = 12

10y = 12 -2

10y = 10

y = 1,  to get x

x = 3y + 1

x = 3(1) + 1 ,  x = 4

( x = 4 and y = 1).

Answer:The probability as a decimal to the nearest hundredth is 0.89

Step-by-step explanation:

i just did it and got it right

The probability that the next customer will pay with cash as a decimal to the nearest hundredth is 0.89

"Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are."

"A decimal is a fraction written in a special form. Instead of writing [tex]\frac{1}{2}[/tex], for example, you can express the fraction as the decimal 0.5, where the zero is in the ones place and the five is in the tenths place."

We have

Customers paid cash = 93

Customers used debit card = 7

Customers used credit card = 5

Number of favorable outcomes n(S)

= 93

Total number of outcomes n(E)

= 93+7+5

= 105

The probability that the next customer will pay with cash

= [tex]\frac{n(S)}{n(E)}[/tex]

= [tex]\frac{93}{105}[/tex]

= [tex]0.885[/tex]

= 0.89 (nearest hundredth)

Hence, the probability that the next customer will pay with cash as a decimal to the nearest hundredth is 0.89.

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Answer: 5040

Step-by-step explanation:

7•6•5•4•3•2•1=5040

The expression that can be used to show the relationship between the number of days and the total dollars (t) he spends is t = 30d

The equation:

Total = cost per day × number of days

t = 30 × d

t = 30d

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$. 101.08

[tex]SUPERFACE=(4.5)(3.75)ft^2[/tex]

                        [tex]=16.875ft^2X[/tex]

[tex]Cos:\$5.99\times \frac{1}{At^2}\times16.875{\rm ft}^2[/tex]

[tex]Cost=\$101.08y.[/tex]

I hope this helps you

:)

Rounded to the nearest cent, the cost to tile the bathroom would be $100.86.

In that case we use the concept of area of rectangle.

The area of a rectangle is the measure of the size of the surface enclosed by a rectangle in a two-dimensional plane. It is calculated by multiplying the length of the rectangle by its width.

In mathematical terms, the formula for calculating the area of a rectangle is:

Area = Length x Width

To find the area of the shower floor, we need to convert the blueprint measurements to actual measurements.

1 inch on the blueprint represents 3 feet, so:

Height of shower floor = 1.25 inches * 3 feet/inch

Height of shower floor = 3.75 feet

Width of shower floor = 1.5 inches * 3 feet/inch

Width of shower floor = 4.5 feet

The area of the shower floor is then:

Area = Height * Width

Area = 3.75 feet * 4.5 feet

Area = 16.875 square feet

So the cost of tiling the bathroom would be:

Cost = Area * Cost per square foot

Cost = 16.875 square feet * $5.99/square foot

Cost = $100.86

Rounded to the nearest cent, the cost to tile the bathroom would be $100.86.

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Answer:

A: 2977.54

B: 7135.84788228

C: 4

D: 6

Step-by-step explanation:

Since the price of the ribbon is 17 cents per yards, the number of yards of ribbon Ann bought is 27 yards.

She has 15 dollars in her debit card.

She bought bulk ribbons at a craft store.

The price of the ribbon is 17 cents per yards. Therefore,

17 cents = 0.17 dollars

Hence,

Amount debited from her account  = 15  - 10.41 = $4.59

Therefore, she spent a total of $4.59 .

The yards of ribbon bought = 4.59 / 0.17

The yards of ribbon bought = 27

Therefore, Ann bought 27 yards of bulk ribbon.

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Answer:

Vertex: (-1 , 50)

Axis of Symmetry: x = -1

y - intercepts: (0 , 48)

Like the given triangle is an isosceles triangle, the value of ∠ABC is 72°.

There are 3 main classifications for triangles refer to its sides.

The figure shows that the given triangle is an isosceles triangle because it has two equal sides (AB=AC). If it is an isosceles triangle, this triangle presents two sides with the same dimensions (AB=AC). and it has two angles with equal size(∠ACB=∠ABC).

Knowing the sum internal angles of triangle is 180°. You can write:

3x+6x+6x=180

15x=180

x=12

Like ∠ABC=6x, then ∠ABC=6*12=72°.

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Answer:

40 eggs

Step-by-step explanation:

(12 x 3) + 4 = x

36 + 4 = x

40 = x

40 eggs total

Answer:

47.82 grams of carbohydrates.

Step-by-step explanation:

3.5 bagels have 167.37 grams of carbohydrates.

1 bagle = ???

In order for 3.5 to be 1 (just as we are asked) we need to divide by 3.5 both the amount of bagles and the amount of carbohydrates.

3.5 / 3.5 = 167.37 / 3.5

1 bagle = 47.82 grams of carbohydrates.

The weight of the third heaviest among the four dogs is 2 kg.

An equation is an expression that shows the relationship between two or more numbers and variables.

The 4 dogs weight is 60 kg with each dog weight been different. The second heaviest dog weighs 28 kg.

Let the heaviest dog be 29 kg, the third heaviest be 2 kg and the fourth be 1 kg.

29 + 28 + 2 + 1 = 60 kg

The weight of the third heaviest among the four dogs is 2 kg.

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C. How much of the first payment on the mortgage is applied to the principle

Answer: 15

Step-by-step explanation:

With the frequecy distribution shown in the 50 cities of pakistan,

= highest value - lowest value

= 26.5 - 8.5

= 18

= ∑ f x / ∑ f

= ∑ f x / N

= 905 / 50

= 18.1

median

= lower limit + ( N/2 - C ) * h / ( frequency of the class interval )

C = cumulative frequency preceeding to the median class frequency

h = class interval

= 18.5 + ( 50 / 2 - ( 5 + 12 ) ) * 3 / 18

= 18.5 + 1.3333

= 19.8333

The mode is the value with the highest frequency occurence. This is under class 18 - 20

mode = lower limit + ( ( f1 - f0 ) / (2*f1 - f0 - f2 ) ) * h

f1 = fequency of the modal class

f0 = freqency of the preceeding modal class

f2 = frequency of the next modal class

h = class interval

= 18.5 + ( ( 18 - 12 ) / (2 * 18 - 12 - 8 )  ) * 3

= 18 + ( 0.375 ) * 3

= 19.125

= sqrt ( 1 / N ∑ f ( x - x' )^2 )

= sqrt (1  / 50 * 706.5

= 3.7589

=  standard deviation / mean

= 3.7589 / 3

= 1.2530

= ( standard deviation )^2

= ( 3.7589 )^2

= 14.1293

=  ∑ f ( x - x' )^4 / ( N * ( standard deviation )^4 )

= 27459.405 / ( 50 * 3.7589^4 )

= 2.7509

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Answer:

it’s 3 x 2x 5 = 30

Then use that product and times it by 10. ( 10 x 30 )

Ans = 300 cubic centimeters

Step-by-step explanation:

3 x 5 x 2 = 30

30 x 10 = 300

Ans = 300 cubic centimeters

Answer:

Step-by-step explanation:

Scale factor = 4 : 500

                    = 1 : 125

Let the length of hall in her plan = x cm

1 : 125 = x : 1050

[tex]\sf \dfrac{1}{125}=\dfrac{x}{1050}[/tex]

Cross multiply,

1*1050 = x*125

[tex]\sf x =\dfrac{1050}{125}[/tex]

x = 8.4 cm

The length of the hall in her plan = 8.4 cm

Answer:

The probability is probably about 55%

Step-by-step explanation:

Answer:

a) 37º

b) 143º

c) 2x - 5 = 143

Step-by-step explanation:

a) Angles 5 and 7 are vertical angles and therefore have the same measurements.

b) Angles 5 and 6 form a straight line and are therefore supplementary (add up to 180º). 180 - 37 = 143.

c) We found the measure of angle 6 is 143º in part b. We can set that equal to 2x - 5. Therefore the equation is 2x - 5 = 143.

7) 7bc cubed

8) 6x to the power 8

Answer: 5a+23

Step-by-step explanation: Let us combine like terms. -7a + 12a = 5a, and 17 + 6 = 23, thus it is 5a + 23.

Answer:

slay

Step-by-step explanation:

slay