calculate y-7 when y=20

The value of x in the angle ∠BCE is 10 so the measure of ∠BCE is 50°.

So, the value of x will be:

Then, the equation formed will be:

So, ∠BCE = 5x° ⇒ 5(10) = 50°.

Therefore, the value of x in the angle ∠BCE is 10 so the measure of ∠BCE is 50°.

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The correct question is given below:

If the measure of ∠BCE is 5x° and the measure of ∠ECD is 40°, write an equation involving x and find the value of x.

Answer:

11 to 20

Step-by-step explanation:

first you get the number 11

second you add 11 and 9 which equals 20

third you make it a ratio which is 11:20 or (11 to 20) and that's your final answer.

Answer: Look below

Step-by-step explanation:

1. Number of green gumballs/ The total amount of gumballs

= 36/102 = 18/51 = 6/17

2. Same formula: 22/102 = 11/51

3. (Green gumballs+ White gumballs) / total

=  ( 36 + 22) / 102

=  58/102

= 29/51

Answer:

The answer is 0

Step-by-step explanation:

-57 cancels out 57 making it 0.

From the figure of the triangle, the length of LK is calculated to be 10

The knowledge used here is that of similar triangles.

In similar triangles the sizes of the triangles are not equal however the ratio of the sizes are equal

The formula for the similar triangle used here is:

JR / JL = SR / LK

from the given figure

JL = 2JR,  SR = 5

plugging the values into the equation gives

JR / 2JR = 5 / LK

1 / 2 = 5 / LK

LK = 10

The length of KL = 10 units

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LCM of 15 and 35 = 105

3x5x7 = 105

Answer:

3x5x7

The angel L in the triangle JKL is measured as 52 degree.

What is triangle?

A triangle in geometry is a three-sided polygon with three edges and three vertices. The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic. This characteristic is known as the triangle's angle sum property.

Given in the question,

∠J = (8x+6)°

∠K = (2x+2)°

∠L = (4x+4)°

We know that, the sum of the all angles in triangle is 180°

So, in triangle JKL

∠J + ∠K + ∠L = 180

Putting the values from the question. we get,

(8x+6) + (2x+2) + (4x+4) = 180

14x + 12 = 180

(180 - 12)/14 = x

x = 12

Putting the value of x in given value of angle L.

∠L = 4x+4

∠L = 4(12)+4

∠L = 48 + 4

∠L = 52°

Hence the angle L is measured as 52 degrees.

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Answer:

The discriminant of the quadratic formula is given by

[tex] {b}^{2} - 4ac[/tex]

Answer:

I think its infinitely many because:

4x=4x

x=4x\4

x=x

[tex]x = \frac{5 +\sqrt{109} }{2} \text{ or }\\\\ x = \frac{5-\sqrt{109} }{2}[/tex]

How to find x?

4 x + 2 + x =  ___ x – 19

⇒ 4 x + 2 + x =  x(x) – 19

⇒ 5x+ 2  = [tex]x^{2}[/tex] - 19

⇒ 5x +2 - [tex]x^{2}[/tex] + 19 = 0

⇒ 5x - [tex]x^{2}[/tex] + 21 =0

⇒ -[tex]x^{2}[/tex] + 5x + 21 = 0

    [tex]x^{2}[/tex] - 5x - 21 = 0   ----(1)

(1) is of the form [tex]ax^{2} +bx+c=0[/tex]

In (1)  a = 1, b = - 5 , c = -21

Applying quadratic formula,

[tex]x = \frac{-b\pm\sqrt{b^{2} -4ac } }{2a} \\\\x = \frac{-(-5)\pm\sqrt{(-5)^{2} -4(-21)} }{2(1)} \\\\x = \frac{(5)\pm\sqrt{25 +84} }{2}\\\\x = \frac{5\pm\sqrt{109} }{2}\\\\x = \frac{5 +\sqrt{109} }{2} \text{ or } \frac{5-\sqrt{109} }{2}[/tex]

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Answer:

938.4 normal time

Step-by-step explanation:

13.8 times 68.also what is overtime pay that no answer

Answer: $20.7 per hour of overtime

$1131.6 gross pay for the week

Step-by-step explanation: traditional overtime pay is 1.5 times regular pay meaning that she earns 13.8•1.5 for her overtime

multiply 13.8 times her regular 40 hour work week plus 28 hours of overtime pay

(13.8•40)+(13.8•1.5)•(hours of overtime)=gross pay

this is all subjective depending on your states overtime laws and if they count overtime as double for hours worked in excess of 48 hours in a week.

I would look at your states overtime laws and work on a conclusion.

if this is the case then the answer would be

(13.8•40)+(20.7•8)+(27.6•20)=gross pay

Shannon will take time 16.5 years to have $350000

What is Compound Interest ?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit. Reinvesting interest, or adding it to the lent capital rather than paying it out or seeking repayment from the borrower, results in interest being received on the principal amount plus previously collected interest in the next period.

Formula used,

A=P(1+r/n)^nt

A = ending amount

P = principal amount(beginning amount)

n = time period

r = rate of interest

Given,

A = $350000

p = $250000

r = 2.04% or 0.0204

n = 12 months

Now, put these values in given formula

350000 = 250000(1 + 0.0204/12)^12t

              = 250000 * 1.0017^12t

350000/250000 = 1.0017^12t

1.4 = 1.0017^12t

Take log on both the sides,

㏑(1.0017^12t) = ㏑(1.4)

12t * ㏑(1.0017) = ㏑(1.4)

12t * 0.0017 = 0.3365

t = 0.3365 / 0.0204

t = 16.5 years

Therefore, Shannon will take time 16.5 years to have $350000

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The value of the given expression [tex]\frac{1}{4}(c^{3}+d^{2} )[/tex], when c = -4 and d = 10 is 9

The expression is

[tex]\frac{1}{4}(c^{3}+d^{2} )[/tex]

The expressions is the mathematical statements that have a minimum of two terms containing numbers or variables, connected by an operator in between. The operator maybe addition, subtraction, division or multiplication.

The expression is

[tex]\frac{1}{4}(c^{3}+d^{2} )[/tex]

The values are

c = -4

d = 10

Substitute the values in the expression

[tex]\frac{1}{4}((-4)^{3}+10^{2})[/tex] = 1/4(-64+100)

Do the arithmetic operation in bracket

= (1/4)×36

Multiply the numbers

= 36/4

Divide the numbers

= 9

Hence, the value of the given expression [tex]\frac{1}{4}(c^{3}+d^{2} )[/tex], when c = -4 and d = 10 is 9

The complete question is

What is the value of this expression when c = -4 and d = 10?

[tex]\frac{1}{4}(c^{3}+d^{2} )[/tex]

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The value of the lesser integer is  a =  -7

How to find the value of the lesser integer?

Let an integer be = a

Let the next consecutive odd integer (b) = a+2

a + 5( b) = -32

a +5(a+2)= -32

a+ 5a +10 = - 32

6a = -32 -10

6a = -42

a = - 42 /6

a = - 7

   The integer a = -7

The next consecutive odd integer (b) = a+2

                                                              = -7 + 2

                                                           b  = -5

So, the value of the lesser integer  is a = -7

What is an integer?

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Each number should be classified as follows:

In Mathematics, there are six (6) common types of numbers and these include the following:

A rational number simply refers to a type of number which consist of integers, fractions, terminating or repeating decimals such as -3, 3, 1/2, -3 3/4, etc.

Additionally, an integer is a whole number that may either be positive, negative, or zero such as, -3, -2, -1, 0, 1, 2, 3, 4 etc.

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It should be noted that the median remains the same because removing an extreme value from a data set will not have much effect on the median.

Statistical data established on the minimum, first quartile, median, third quartile, and maximum exist shown graphically in a box plot.

The box plot represents the number of kids in 30 distinct households in accordance with the families, and the value of 12 is subtracted for inaccuracy.

Therefore, if there exist two kids in the median for both plots when 12 stood eliminated from the data set, it remained unchanged.

In conclusion, the median stays exact because removing an extreme value from a data set will not have much effect on the median.

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Answer:

That would be a 30% profit. 

Step-by-step explanation:

Answer: 5.50 (c + a)

Step-by-step explanation:

The quadratic quadratic equation represented in the graph has the equation  y = 2x² + 7x + 4 .

The values of x that satisfy the equation are the roots or zeros of the expressions on the left side of the equation. In a quadratic problem, there can only be two possible solutions.

The graph of the function which is quadratic can be represented by the equation in the standard form of

y=ax²+bx+c

The graph passes through the points (-4,0) , (-0.5,0) and (0,4)

Putting the values in the equation we get:

0 = 16a - 4b + c

4 = c

0 = 0.25 a +0.5b + c

Solving the equations we get :

16 a - 4 b = -4

0.25a -0.5 b = -4

a =2 and b = 7

The required quadratic equation is  y = 2x² + 7x + 4

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The coordinates of the point's image (1,-4) under the same translation are (2, 0)

Therefore,

The coordinates of the point's image (1,-4) under the same translation are (2, 0)

The x coordinate increased by 1, and the y coordinate increased by 4.

Now, do these same transformations to the other point, (1, -4)

x coordinate: 1 + 1 = 2

y coordinate: -4 + 4 = 0

So, the new point is (2, 0)

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285 yards of wire purchased in October will cost $3705.

We will use unitary method for calculation.

The cost of one yard of wire = total cost ÷ length of wire × unit length

Cost of one yard of wire = 1235 ÷ 95 × 1

Performing division on Right Hand Side of the equation

Cost of one yard of wire = $13

Now calculating the cost for purchase of 285 yards of wire in October.

Cost of wire in October = 285 × 13

Performing multiplication on Right Hand Side of the equation

Cost of wire in October = $3705

Thus, the cost of purchase in October is $3705.

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9 is a coefficient of u in mathematical expression.

What does a math expression mean?

What does an example of a math expression mean?

 = 7 ( 9u + 2 ) ( 1 + 3 )

In this expression statement 1  is correct  and statement  2,3,4,5,6 are false.

9u, 9 is a coefficient of u.

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The distance between the two parallel lines is 26 units

Parallel lines are lines that do not meet or intersect.

If y = mx +c as the equation of a straight line

For the line y = -5x

comparing with the standard equation of a line,

y = -5x has no y-intercept, so the coordinates of the point is (0,0)

For the second line y = -5x + 26

comparing with the standard equation

The y-intercept is 26, which means the coordinates of the point is (0, 26)

The distance between these two points is the distance between the two lines.

Formula for distance between two point,

D = [tex]\sqrt{(y_{2} -y_{1}) ^{2} + (x_{2} - x_{1}) ^{2} }[/tex]

D = [tex]\sqrt{(26-0)^{2} + (0-0)^{2} }[/tex]

D = 26 units

In conclusion, the distance between the two parallel lines is 26 units

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The inequality to solve is:

Whenever we have absolute value inequality, we solve it in:

Now, solving it:

    Two or more algebraic equations that share variables, such as x and y, are said to be simultaneous equations. Since the equations are solved simultaneously, they are known as simultaneous equations. These equations alone could have an endless number of solutions.

Eq. 1: 20c + 10l = 320

Equation 2: c - l = 10

where x = total hours Caleb puts in y hours of work. Landon has a job

The total number of shirts that Caleb and Landon iron in an hour depends on how many hours each of them works overall.

The total number of shirts they can both iron is equal to the product of the number of shirts Caleb can iron in an hour and the number of hours he worked (shirts that Landon can iron in an hour x number of hours Landon worked)

Eq. 1: 20c + 10l = 320

Equations 1 and 2 must be solved jointly because they are simultaneous equations, and doing so will yield the solution.

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Answer:

C: x = 13

Step-by-step explanation:

It looks like the question is f(x) = sqrt(x - 11)

DOMAIN

The domain of a function refers to values of x that the function can graph and give a definite y value for. Functions can graph x values that do not result in undefined or complex numbers.

If that is the case then x would have to be greater than or equal to 11 because you can not get the square root of negative numbers unless you want to deal with complex numbers.

13 - 11 >= 0 so it is the answer.

Answer:

The answer is C.

Step-by-step explanation:

Since the party store charges $1.50 for each bag of balloons, the total price depends on how many bags of balloons Jimmy purchases. So to represent that amount we use the variable given, b. To represent that we can do 1.50b. If we substitute any positive number for b it could look something like this:

(1.50)(1) or 1.50 × 2.

In addition to this, they also sell packages for $6.00 each. We do the same as with the balloons and use the variable h to represent the number of packages Jimmy buys.

We already know that he spends $24 in total but we do not know how many of each item he bought. So we would represent the unit rate price × the variable (or the unknown number of items) of the balloons + the unit rate price and the unknown number of the party hats.

1.50b + 6.00h = 24.

Please let me know if you need additional help!

After Simplification, The final answer is 5.26923077

Reducing a mathematical expression to a simpler version is known as simplification. To simplify, utilize the BODMAS rule.

The letters B, O, D, M, A, and S stand for bracket, of, division, multiplication, and addition, respectively. Simplifying occurs when you explain a difficult mathematical concept to a young child in terms they can grasp. You have streamlined when you do away with many of the activities that were keeping you busy and stressed out.

Here,

[tex]\frac{2.5 \times 13.7}{4.9 + 1.6}\\\\\frac{34.25}{6.5}\\\\5.26923077[/tex]

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in a marathon race (42.195 km), the winner’s time is 2 hours, 13 minutes, and 9 seconds, while the second-place time is 2 hours, 26 minutes, and 6 seconds . The distance is 2.664 km.

D = distance of marathon = 42.195 km = 42195 m

tw = time taken by winner = 2 h 17 min = 2 (60) + 17 = 137 min = 137 (60) = 8220 sec

Vw = speed of winner

speed of winner is given as

Vw = D /tw = 42195/8220

ts = time taken by second place = 2 h 26 min 14 sec = 2 (60)(60) + (26)(60) + 14 = 8774 s

Vs = speed of second place

speed of second place is given as

Vs = D /ts = 42195/8774

distance of the second place holder from the finish line is given as

D' = Vs (ts - tw)

D' = (42195/8774 )(8774 - 8220)

D' = 2664.24 m

D'= 2.664 km

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