Increasing a number by 14 yields the same result as taking one-half of 40.

Answer:

4x +12

Step-by-step explanation:

[tex]5x + 2 - x + 10\\\\\mathrm{Group\:like\:terms}\\=5x-x+2+10\\\\\mathrm{Add\:similar\:elements:}\:5x-x=4x\\=4x+2+10\\\\\mathrm{Add\:the\:numbers:}\:2+10=12\\=4x+12[/tex]

Step-by-step explanation:

Right angle = 90°

(x + 3) + (x - 1) + (x + 1) = 90

3x + 3 = 90, x = 29.

Supplementary angles = Angles that add up to 180°.

x + (x + 104) = 180

2x = 76, x = 38.

The value of x in fig.1 is 29 .

The value of x in fig.2 is 38 .

Given,

Figures having different angles .

1)

Right angle = 90°

(x + 3) + (x - 1) + (x + 1) = 90

3x + 3 = 90

x = 29.

2)

Supplementary angles = Angles that add up to 180°.

x + (x + 104) = 180

2x = 76

x = 38.

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Step-by-step explanation:

-3(6 - 2x) > 4x + 12

-18 + 6x > 4x + 12

2x > 30

x > 15

The solution set is (15, ∞).

The interval that includes all possible values of x that satisfy the inequality is (15, infinity), which can be written as [15, oo) in interval notation.

The answer is (d) [15,00)

The intervals are numbers or values between two given point

The intervals are denoted as:

Closed intervals = [a, b]

This interval includes a and b.

Open intervals = (a, b)

This interval does not include a and b.

We have,

We can solve the inequality as follows:

-3(6 - 2x) > 4x + 12

Distribute the -3 on the left side:

-18 + 6x > 4x + 12

Subtract 4x from both sides:

2x > 30

Divide both sides by 2:

x > 15

Therefore,

The interval that includes all possible values of x that satisfy the inequality is (15, infinity), which can be written as [15, oo) in interval notation.

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Answer:

D. 1,944

Step-by-step explanation:

the box's size is missing, so I looked for a similar question:

the box measures:

total volume of the box = 12 x 9 x 18 = 1,944 cm³

since each dice occupies a volume of 1 cm³, then you can fit 1,944 dices in each box.

Answer:

C, 38°

Step-by-step explanation:

ray UW is the angle bisector of ∠VUT

--> m∠VUW = m∠WUT = 1/2 m∠VUT

<=> 4x + 6 = 6x - 10

<=> 6 + 10 = 6x - 4x

<=> 2x = 16

<=> x = 8

So, the measure of m∠WUT is: 6x - 10 = 6 . 8 - 10 = 48 - 10 = 38°

Answer:

(2x +5) + 3x = 90

5x + 5 = 90

5x = 85

x = 17

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Answer:

3(x + 12)

Step-by-step explanation:

"the sum of a number and 12"

x + 12

"Three times the sum of a number and 12"

3(x + 12)

Answer:

1) -66

2)

Step-by-step explanation:

Given:

a=4

b=-5

c=-7

=a+2bc

=4+2*-5*7

=4+(-10*7)

=4-70

=-66

=3a

=3(4)

=12

Hope this helps ;) ❤❤❤

Answer:

-66, 12

Step-by-step explanation:

4+2 times-5 times -7 times

-70+4= 66

Answer:

Step-by-step explanation:

1. Subtract 5x from both sides to put the equation in slope-intercept form:

  y = -5x +10

__

2. The y-intercept is the point corresponding to x=0. The y-value when x=0 is the constant in the equation: 10. Then the point is ...

  (x, y) = (0, 10)

You may notice this is one of the points listed in part 4, and is also used in question 3.

__

3. The x-value computed is 1; the y-value computed is 5. The point is ...

  (x, y) = (1, 5)

You may notice this is one of the points listed in part 4.

__

4. See attached

Answer:

1. y = -5x +10

2. (0, 10)

3. (1, 5)

4. see attached

Step-by-step explanation:

1. Subtract 5x from both sides to put the equation in slope-intercept form:

 y = -5x +10

__

2. The y-intercept is the point corresponding to x=0. The y-value when x=0 is the constant in the equation: 10. Then the point is ...

 (x, y) = (0, 10)

You may notice this is one of the points listed in part 4, and is also used in question 3.

__

3. The x-value computed is 1; the y-value computed is 5. The point is ...

 (x, y) = (1, 5)

You may notice this is one of the points listed in part 4.

__

4. See attached

A term is a single constant or variables that have non-zero coefficients.

Since there are 4 terms with non-zero coefficients in the following expression, there are 4 terms.

Hope this helps.

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Answer:

Restaurant Server: 10%

Florist: 10%

Cab Care: 0%

Dog Groomer: 5%

Step-by-step explanation

Also, in the question it says round to make a more resonable number for example in the chart for the resturant it says the cost is $40 dollars and the gratuity is 18% and the tax is 8.5% with this you round 18% to 20% and the tax 8.5% to 9% and round that to 10% and when you round the  tax to 10% that is your anwser. Then with all the other numbers on the chart do the same thing and there is all of your anwsers.

Restaurant Server: 8%

Florist: 12%

Cab Fare: 0%

Dog Groomer: 6%

Restaurant Server:

The cost is $40 and the gratuity is 18%.

To calculate the tax, you multiply the cost by the tax rate, which is 8.5% (or 0.085).

The tax amount would be $40 × 0.085 = $3.40. Rounding this to the nearest whole number would be $3.

Therefore, the tax estimate for the restaurant service would be 8%.

Florist:

The cost is $94 and the gratuity is 12%.

The tax rate for the florist service is 12% (or 0.12).

Calculating the tax amount would be $94 × 0.12 = $11.28. Rounding this to the nearest whole number would be $11.

Hence, the tax estimate for the florist service would be 12%.

Cab Fare:

The cost is $32, and the gratuity is 20%.

The tax for cab fares is mentioned as 0%, which means there is no tax applicable. In this case, rounding is not necessary as the tax amount is already 0%.

Dog Groomer:

The cost is $62, and the gratuity is 26%. The tax rate for the dog groomer service is 5.75% (or 0.0575).

Calculating the tax amount would be $62 × 0.0575 = $3.57.

Rounding this to the nearest whole number would be $4.

Thus, the tax estimate for the dog groomer service would be 6%.

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To what percent should the taxes for each service be

rounded in order to make reasonable estimates?

Service                cost             Gratuity           Tax

Restaurant         $40                  18%                 8.5%

Florist                 $94                  12%                 12%

Cab fare             $32                  20%                0%

Dog groomer      $62               26%                 5.75%

Restaurant Server:

Florist:

Cab Fare:

Dog Groomer:​

Answer:

x=2

Step-by-step explanation:

-3x+12=-18

-3x=-18+12

-3x=-6

x=-6/-3

x=2

Answer:

x=10

Step-by-step explanation:

We are given the equation:

[tex]-3x+12= -18[/tex]

and asked to solve for x. Therefore, we must isolate x on one side of the equation.

12 is being added to -3x. The inverse of addition is subtraction. Subtract 12 from both sides of the equation.

[tex]-3x+12-12= -18 -12[/tex]

[tex]-3x= -18-12[/tex]

[tex]-3x=-30[/tex]

x is being multiplied by -3. The inverse of multiplication is division. Divide both sides of the equation by -3.

[tex]-3x/3=-30/-3[/tex]

[tex]x= -30/-3[/tex]

[tex]x=10[/tex]

Let's check our solution. Plug 10 in for x and solve.

[tex]-3x+12=-18[/tex]

[tex]-3(10)+12=-18[/tex]

Multiply -3 and 10.

[tex]-30+12=-18[/tex]

Add 12 to -30.

[tex]-18=-18[/tex]

This checks out, so we know our solution is correct.

The solution -3x+12=-18 is x=10.

Answer:

the difference between the two fractions is 1/10

Step-by-step explanation:

when solving this problem you must switch the denominators to the same number. in this case thats 30. so 10*3 is 30 and 15*2 is 30. so then we multiply 7*3 to get 21 and 14*2 to get 24. so now we have 21/30 and 24/30, so then we compare. and we end up with 3/30, we simplify the answer to 1/10.

Answer:

10

Step-by-step explanation:

Answer:

Ok, we have:

d(t) = 3*t^2 + 5*t - 2.

The first interval is:

(2, 3)

and remember that, for an interval (a,b), the difference quotient is:

D = (f(b) - f(a))/(b -a)

Then in this first interval we have:

[tex]d = \frac{d(3) - d(2)}{3-2} = \frac{3*3^2 + 5*3 - 2 - (3*2^2 + 5*2 - 2)}{1} = 20[/tex]

So the average rate of change in (2,3) is 20.

now, in (2, 2.5) we have:

[tex]d = \frac{d(2.5) - d(2)}{3-2} = \frac{3*2.5^2 + 5*2.5 - 2 - (3*2^2 + 5*2 - 2)}{1} = 9.25[/tex]

So here the rate of change is 9.25

And in the interval (2, 2.1) we have:

[tex]d = \frac{d(2.1) - d(2)}{3-2} = \frac{3*2.1^2 + 5*2.1 - 2 - (3*2^2 + 5*2 - 2)}{1} = 1.73[/tex]

So in this interval the rate of change is 1.73

Answer:

2 to 3 is 20

2 to 2.5 is 15

2 to 2.1 is 11

Step-by-step explanation:

I got this question right on EDGE 2023

Answer:

(- 1, 4 ) is a solution to the equation

Step-by-step explanation:

Substitute x = - 1 and y = 4 into the left side of the equation and if the value obtained is equal to the right side then it is a solution

Given

3x + 8y = 29, then

3(- 1) + 8(4) = - 3 + 32 = 29 = right side

Thus (- 1, 4 ) is a solution of the equation

Answer:

20 3/4

Step-by-step explanation:

First, add together the whole numbers:

5 + 15

= 20

Then, add the fractions and decimals together:

Convert 1/4 to a decimal, which is 0.25

Add the decimals together:

0.25 + 0.5

= 0.75

Convert this to a fraction:

0.75 = 3/4

Then, add together 20 and 3/4

20 + 3/4

= 20 3/4

Answer:

83/4

Step-by-step explanation:

This is the right answer.

Answer:

0.02275

Step-by-step explanation:

We use this z score formula to solve for this question

z-score is is z = (x-μ)/σ/√n

where x is the raw score

μ is the population mean

σ is the population standard deviation

From the above question,

x = 77

μ = 75

σ = 7

number of samples = 49

Hence, the z score = 77 - 75/ (7/√49)

= 2/(7/7)

= 2/1

= 2

Hence, the z score = 2

Using the z table to find probability

P(x<77) = 0.97725

P(x>77) = 1 - P(x<77)

= 1 - 0.97725

= 0.02275

Therefore, the probability that the same mean will be larger than 77 years

is 0.02275

The solution to the equation is n = -2.

To solve the equation 30 = -5(6n + 6) step-by-step, follow these procedures:

Step 1: Distribute the -5 on the right side:

30 = -5 * 6n - 5 * 6

Step 2: Simplify the right side:

30 = -30n - 30

Step 3: Move constant term to one side:

30 + 30 = -30n

Step 4: Combine like terms:

60 = -30n

Step 5: Divide both sides by -30 to isolate 'n':

n = 60 / -30

Step 6: Simplify the right side:

n = -2

The solution to the equation is n = -2.

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Answer:

Step-by-step explanation:

To do this we need to first multiply by the number of feet in a mile to get:

311520 feet per hour

Then we divide by 3600 to get this into feet per second:

86.53333... feet per second

Now rounding this we get 87 feet per second.

Answer: 90

Step-by-step explanation:

We first need to find three consecutive numbers that adds up to 267. We know that the numbers will be somewhat close to 100 because the sum needs to be past 250.

Let's try 85,86,87.

85+86+87=258

258 is very close to 267. We know that we need to increase our numbers.

Let's try 88,89,90.

88+89+90=267

88,89, and 90 added together gives us 267. The question asks for the largest integer. In 88, 89, 90, 90 is the largest integer.

Fifty five percent times two hundred and sixty equal one hundred and forty three

Answer:

YOUR CORRECT OPTION IS B

B) (-5,-20)

y=4x

x= -5

y= -20

Putting values

-20 = 4(-5)

= -20 = -20

Thus, the correct answer is B

Answer:

b (-5,-20)

Step-by-step explanation:

the first number in an ordered pair is the x value and the second is y so when you substitute in these values you get -20= 4(-5) which is true

Answer:

Step-by-step explanation:

6x≤-37

x≤-37/6

x≤ -6 1/6

Answer: 10,230,179.02813299

Step-by-step explanation:

That would be your answer

Answer:

uh

Step-by-step explanation:

Answer: Choice A

Ray PL and ray PQ

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

Explanation:

Opposite rays always have the same endpoint in common. So opposite rays start with the same letter.

Opposite rays also lay on the same geometric line. This means they point in complete opposite directions. Gluing together two opposite rays forms a line that extends forever in both directions.

Ray PQ points in one direction while ray PL points in the opposite direction. These are opposite rays.

Saying "ray PQ" is different from saying "ray QP". The order matters. This is because the first letter tells you the endpoint while the second letter is where the ray is aimed at (and where it goes off forever).

Answer:

You can determine whether each element of the domain is paired with exactly one element of the range. For example, if given a graph, you could use the vertical line test; if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function