what would be the ° from SQT​

Answer:

y= 4.166

If rounded to the nearest tenth

y = 4.2

Step-by-step explanation:

6x - 6y = 23

x = 8

6x - 6y = 23  (Sub in the x with 8)

6(8) - 6y = 23

48 - 6y = 23  (Subtract each side by 48)

-6y = 23 - 48

-6y = -25 (Divide each side by -6)

y = 4.166

If rounded to the nearest tenth

y = 4.2

The correct answer is March, as it was the month in which the average number of hours worked by the website designers was closest to 50 hours.

A month is a unit of time typically consisting of 30 or 31 days. It is used for measuring periods of time, for example, when we say something happened "a month ago". Months are used in both the Gregorian calendar and the Julian calendar.

This data was gathered from a survey of website designers, which was conducted to determine the average number of hours each month that these professionals spent working.

In January, the average number of hours worked was 46.5. In February, it was 48.8. However, in March, the average number of hours worked was 49.4, which was the closest to 50 hours. This was followed by April, in which the average was 49.7.

Overall, it can be concluded that March was the month in which the average number of hours worked by website designers was closest to 50 hours. This is important data for website designers, as it allows them to understand the amount of time they should be spending on their work in order to be successful. It also helps employers gauge the workload of their website designers and ensure they are providing an adequate amount of work.

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Answer: y=7

Step-by-step explanation:

Answer:

3a) 30% more than original price

b) 70% of the original price

c) 17times the original price

d) 70% less than original price

e) t + 0.85t

f) t - 0.15t

g) t - 0.85t

h) t + 0.15t

4. The expression that can be used to find the amount of money in his bank = m + 0.25m

Question:

3. Match each statement with an expression that could be used to find the price.

'The expressions for a to d were not stated in the question'.

a) p+ 0.3p

b) 0.7p

c) 17p

d) p-07p

'From e to h, we were not told what to determine'.

Write the expression in terms of time

e. 85% more than the original time

f. 15% less time than the original

g. 85% time decrease

h. 15% time increase

4. Ronnie increased the amount of money in his piggy bank by 25%. Which expression can be used to find the amount of money in his bank? Let "m" represent the original​.

Step-by-step explanation:

let original price = p

a) p+ 0.3p = p + 30% of p

30% more than original price

b) 0.7p = 70% of p

= 70% of the original price

c) 17p = 17 × p

= 17times of the original price

d) p-0.7p = p - 70% of p

= 70% less than original price

Let original time = t

e) 85% more than the original time = t + 85%of t

= t + 0.85t

f) 15% less time than the original time = t - 15% of t

= t - 0.15t

g) 85% time decrease = t - 85% of t

= t - 0.85t

h) 15% time increase = t + 15% of t

= t + 0.15t

4. Since "m" represent the original amount in Hus piggy bank

An increase of 25% = original amount + 25% of original amount

= m + 25% of m

'Of' means multiplication

= m + 0.25 ×m

= m + 0.25m

= 1.25m

The expression that can be used to find the amount of money in his bank = m + 0.25m

Answer:

Intersecting

Step-by-step explanation:

Five number summary and IQR of both the data sets are different.

For school A: Minimum=6, Q₁=6.5, Median= 14, Q₃=16, Maximum=17, IQR=9.5

For school B: Minimum=5, Q₁=8, Median= 12, Q₃=15.5, Maximum=19, IQR=7.5

No, the box plots are not symmetric.

Part A:

The given data sets are

School A : 9,14,15,17,17,7,15,6,6

School B : 12,8,13,11,19,15,16,5,8

Arrange the data in ascending order.

School A : 6,6,7,9,14,15,15,17,17

School B : 5,8,8,11,12,13,15,16,19

Divide each data set into four equal parts.

School A : (6,6),(7,9),14,(15,15),(17,17)

School B : (5,8),(8,11),12,(13,15),(16,19)

For school A:

Minimum=6, Q₁=6.5, Median= 14, Q₃=16, Maximum=17

The interquartile range of the data is

For school B:

Minimum=5, Q₁=8, Median= 12, Q₃=15.5, Maximum=19

\(IQR=Q_3-Q_1\\ =Q_3-Q_1\\ =16-6.2\\ =9.5\)

The interquartile range of the data is

\(IQR=Q_3-Q_1\\ =Q_3-Q_1\\ =15.5-8\\ =7.5\)

Part B:

The box plots are not symmetric because the data values are different. Five number summary and IQR of both the data sets are different.

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Answer:

Solution given:

<ABC+<QRS=180° (supplementary)

m<QRS=180°-41°=139° is your answer

Answer:

Solving gives us the result, x = 2, y = -1

Step-by-step explanation:

The system of equations is,

y = 2x-5

y=-2x+3

equating the two equations, we get,

(since y = y)

\(2x-5 = -2x + 3\\4x -5 = 3\\4x = 3+5\\4x=8\\x=8/4\\x=2\)

and then since y = 2x-5

\(y=2(2)-5\\y=-1\)

so, x =2, y = -1

The equivalent proportional relationships in this problem are given as follows:

In a proportional relationship, the output variable y is obtained from the multiplication of the input variable x and the constant of proportionality k, by the rule presented as follows:

y = kx.

Proportional relationships are said to be the same when they have the same constant of proportionality k.

For each relationship in this problem, the constants are given as follows:

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Answer:16x16

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

24x2+4x2

Simplify

48+8

Solve

56

Answer:

4.18

Step-by-step explanation:

The value of the cosine of the angle of (a - b) will be 0.80.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

It is a function that repeats itself in a particular time interval.

Suppose that sin(a) = 4/6 and cos(b) = 1/5.

Then the value of 'a' is given as,

sin(a) = 4/6

sin(a) = 2/3

a = 41.81°

Then the value of 'b' is given as,

cos(b) = 1/5

b = 78.46°

Then the value of the cosine of the angle of (a - b) will be given as,

⇒ cos(41.81° - 78.46°)

⇒ cos(-36.65°)

⇒ cos 36.65°

⇒ 0.80

The value of the cosine of the angle of (a - b) will be 0.80.

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Answer:

\(r\leq 84\)

Step-by-step explanation:

Let's write an inequality:

\(7+r\leq 91\\Subtract \ 7 \ from \ both \ sides\\r\leq 84\)

Hi there!

"AT MOST" can be denoted by the sign:

r + 7 ≤ 91

Or, r + 7 has to be LESS THAN or EQUAL TO 91.

We can solve using subtraction; subtract 7 from both sides:

r + 7 - 7 ≤ 91 - 7

r ≤ 84

Answer:

\((\frac{4}{3},-\frac{10}{3})\)

Step-by-step explanation:

If the extreme ends of a line segment AC are A\((x_1,y_1)\) and C\((x_2,y_2)\).

If a point B(x, y) divides the segment in the ratio of m : n

Then the coordinates of the point B are,

x = \(\frac{mx_2+nx_1}{m+n}\)

y = \(\frac{my_2+ny_1}{m+n}\)

If the ends of AC are A(-2, 5) and C(2, -5) and a point B divides it in the ratio of m : n = 5 : 1

Therefore, coordinates of this point will be,

x = \(\frac{5\times (2)+1(-2)}{5+1}\)

  = \(\frac{10-2}{5+1}\)

  = \(\frac{8}{6}\)

  = \(\frac{4}{3}\)

y = \(\frac{5\times (-5)+1(5)}{5+1}\)

  = \(\frac{-25+5}{6}\)

  = \(-\frac{20}{6}\)

  = \(-\frac{10}{3}\)

Therefore, coordinates of the point B are \((\frac{4}{3},-\frac{10}{3})\).

The values of the variables x and y are;

1, x = -y and y = 5. Option D

2. x= 1 and y = -1. Option A

Using the substitution method of solving simultaneous equations, we have;

4x + 7y = 19

y - x = 9

Now, make 'y' the subject from equation 2

y = 9 + x

Substitute the equation into equation 1

4x + 7(9 + x)= 19

expand the bracket, we have;

4x + 63 + 7x = 19

collect the like terms

11x = -44

x = -4

then,

y = 9 - 4 = 5

-3x + y = -4

4x + 3y = 1

make y' the subject from equation 1

y =-4 + 3x

Substitute the value

4x + 3(-4 + 3x) = 1

expand the bracket

4x - 12 + 9x = 1

13x = 13

x = 1

Substitute the value

y = -4 + 3

y = -1

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Answer:

C. 9

Step-by-step explanation:

To find the number we add to complete the square, we do (b/2)², or take b (which is 6), divide by 2 (which gives us 3), then square the result (which gives us 9):

6/2 = 3

3² = 9

Answer: 9

Step-by-step explanation: To complete the square, we need a number to create a perfect square trinomial on the left side of the equation.

So the question is, what is that number?

Well it comes from a formula.

The number that we will need to complete the square will always

come from half the coefficient of the middle term squared.

In this case, that's half of 6 which is 3, squared, which is 9.

So we add 9 to both sides of the equation.

This will now allow the left side of the equation to factor.

The area reduced by Rita is 102 square inches.

Initially, the length of the poster = 16 inches

The area of the poster initially, A = 16 * 16 = 256 square inches.

It is given that the poster by reducing its height by 2 inches and its width by 5 inches.

Reduced length (l) = 16 - 2 = 14 inches.

Reduced width (b) = 16 - 5 = 11 inches.

Now, the area of the remaining poster = length * width = 14 * 11 = 154 square inches.

Now, the areas of the poster that has been reduced,

So, reduced area = 256 - 154 = 102 square inches.

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Answer:

x = 4

Step-by-step explanation:

6(+4)=48

6+24=48

6+24=48

6+24−24=48−24

6=24

6=24

6/6=24

...

Answer:

if there is 34 pounds in all and 12 guests, you need to start your step by step with the multiplication of 12 x 1, 12 x 2, 12 x 3, etc.

12 x 2 is 24 and 12 x 3 is 36. 34 pounds will not feed all of the people equally, so you must reduce the amount till you can feed the 12 people. I would actually have 2.8 pounds per person. 2.8 pounds x 12 = 33.6

Step-by-step explanation:

multiply

Step-by-step explanation:

the center of the circle is the midpoint of the diameter.

and the radius is the distance of the midpoint to either endpoint (or simply half of the distance between the diameter endpoints).

the midpoint between points A and B

(xm, ym) = ((xa + xb)/2, (ya + yb)/2)

in our case the midpoint (center of the circle) is

((-6 + 2)/2, (10 + 3)/2) = (-4/2, 13/2) = (-2, 6.5)

about the radius

diameter² = (-6 - 2)² + (10 - 3)² = (-8)² + 7² = 64 + 49 =

= 113

diameter = sqrt(113) = 10.63014581...

radius = diameter / 2 = 5.315072906... ≈ 5.315

Step-by-step explanation:

Given problem is to find nearest number,

= 8888888/2915

quotient = 3049

remainder= 1053

Now, 2915-1053 = 1862

8888888+1862 = 8890750

8888888-1053 = 8887835

Two numbers nearest to 8888888 which are exactly divisible by 2915 is 8887835 and 8890750

At x = 0 and x = 7, the function g(x) is undefined.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression of the function is,

⇒ g (x) = 6 / x (x - 7)

Now, We know that;

The function f(x) = a(x) /b (x) is not defined at b (x) ≠ 0

Here, The expression of the function is,

⇒ g (x) = 6 / x (x - 7)

So, Function g (x) is not defined when,

x (x - 7) = 0

⇒ x = 0

or, x - 7 = 0

⇒ x = 7

Thus, At x = 0 and x = 7, the function g(x) is undefined.

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Answer:

True

Step-by-step explanation:

Because anything multiplied by 0 is equal to 0.

200.60 interest does andy’s account earn.

Let x be the amount of interest earned by Andy's account.

According to the problem, Andy's account earns 0.3% more interest than Marty's account, which means that Andy's account earns the same amount plus an additional 0.3% of that amount. Mathematically, we can express this as:

x = 200 + 0.3% of 200

Simplifying the right-hand side of the equation, we get:

x = 200 + 0.003 × 200

x = 200.60

Therefore, the answer is option 1: 200.60.

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Answer:

$23,275.817

Step-by-step explanation:

To get this answer, multiply 19,000 by 1.07.

$19,000 x 1.07 = 20,330 (one year later)

$20,330 x 1.07 = $21,753.10 (two years later)

$21,753.10 x 1.07= $23,275.817 (three years later)

The answer round to cents would be $23,275.82

Answer : 31

Explanation : Every numbers have a gap of 6 as you can see:

1 + 6 = 7

7 + 6 = 13

13 + 6 = 19

19 + 6 = 25

So,

25 + 6 = 31

Hope This Helps You!

Answer:

2√2 units.

Step-by-step explanation:

To find the length of the line joining points A(3, 5) and B(1, 3), we can use the distance formula. The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Substituting the coordinates of points A and B into the formula, we have:

d = sqrt((1 - 3)^2 + (3 - 5)^2)

  = sqrt((-2)^2 + (-2)^2)

  = sqrt(4 + 4)

  = sqrt(8)

  = 2sqrt(2)

Therefore, the length of the line joining points A and B is 2√2 units.