Simplify. 5/4+4(3/4−12)2

the next four consecutive odd integers will be given by the option (B) x + 2, x + 4, x + 6 and x + 8.

We are given that:

The first integer is represented by the variable x.

We need to find the next four consecutive odd integers.

We know that the difference between the two consecutive odd integers will always be 2.

So, this means, we can always get the next odd integers by adding 2 to the previous one.

So, we get that:

x + 2

x + 2 + 2 = x + 4

x + 4 + 2 = x + 6

x + 6 + 2 = x + 8

Therefore, we get that, the next four consecutive odd integers will be given by the option (B) x + 2, x + 4, x + 6 and x + 8.

Learn more about integers here:

https://brainly.com/question/17695139

#SPJ9

The amount of tape left in metres is 0.75 metres.

Each group of students gets 10 newspapers and 2 meters of tape.  

This means the total length of tape for each group of student is as follows:

length of tape for each group = 2 metres

Sue's group decides to roll up each of their newspapers. Then, they tape each roll with 125 millimetres of tape.

Each roll of the 10 newspaper was taped with 125 mm tape.

Hence,

total taping = 125 × 10

total taping = 1250 mm

Let's convert from millimetres to metres.

Therefore,

1 mm = 0.001 m

1250 mm = ?

cross multiply

amount of taping done by Sue's group = 1.25 m

Therefore,

amount of meters of tape left = 2 - 1.25 = 0.75 metres

learn more on length in metres here:https://brainly.com/question/327206

#SPJ1

Answer:

- [tex]\frac{9}{2}[/tex] ≤ x ≤ - [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

inequalities of the type | x | ≤ a , have solutions of the form

- a ≤ x ≤ a , then

4 | 2x + 5 | - 7 ≤ 9 ( add 7 to both sides )

4  | 2x + 5 | ≤ 16 ( divide both sides by 4 )

| 2x + 5 | ≤ 4 , so

- 4 ≤ 2x + 5 ≤ 4 ( subtract 5 from each interval )

- 9 ≤ 2x ≤ - 1 ( divide each interval by 2 )

- [tex]\frac{9}{2}[/tex] ≤ x ≤ - [tex]\frac{1}{2}[/tex]

In order to comply with the required slope, the ramp must extend 36 ft from the house.

So, to find the distance:

The formula of slope:

Vertical distance is now given as 3 ft.

To conform to the given slope, this means that:

Cross multiply:

Therefore, in order to comply with the required slope, the ramp must extend 36 ft from the house.

Know more about Distances here:

https://brainly.com/question/17273444

#SPJ9

The adjustment of both numbers and using compensation to find $7.99 + $19.99 mentally is $27.98

It should be noted that compensation is the mental strategy in Mathematics used for addition by adjusting one of rte addends.

It should be noted that $7.99 is almost the same as $8. It should be noted that $19.99 is the same as $20. This is the compensation or the numbers.

Therefore, the addition of the numbers $7.99 + $19.99 will be:

= $7.99 + $19.99

= $27.98

In conclusion, the answer is $27.98.

Learn more about numbers on:

brainly.com/question/25734188

#SPJ1

The statement that the ratio 2/5 to 1/3 has a unit rate of 2/15 is; True

A unit rate is defined as a rate for one of something. This can be written as a ratio with a denominator of one.

For example, if you ran 50 meters in 10 seconds, you ran an average 5 meters in 1 second. Both of the ratios, 50 meters in 10 seconds and 5 meters in 1 second, are rates, but the 5 meters in 1 second is a unit rate.

We are given the ratio 2/5 to 1/3. Now, this can be expressed as;

(2/5)/(1/3) = 2/5 * 1/3 = 2/15

Thus, this corresponds with the given unit rate of 2/15.

Read more about Unit rate at; https://brainly.com/question/4895463

#SPJ1

Answer:

see explanation

Step-by-step explanation:

A

the common difference d of the arithmetic sequence is

d = a₂ - a₁ = 79 - 83 = - 4

B

the explicit formula of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 83 and d = - 4 , then

[tex]a_{n}[/tex] = 83 - 4(n - 1) = 83 - 4n + 4 = 87 - 4n

Answer: you will have $53,687,091.2 dollars once you reach the thirty-day milestone.

Step-by-step explanation:

Multiply 0.05 by 2 thirty times to get your answer.

0.05 * 2^30

0.05 * 1,073,741,824 = $53,687,091.2 or 10,737,418.24 nickels.

9 pounds of hamburger meat will be needed by Brian.

We are given value for one unit. The calculation is required for more than one units, hence, multiplication will be performed.

As per the given information, amount of hamburger meat required for one person is = 3/4 pound

Amount of hamburger meat required for 12 people = (3/4) × 12

Performing division to find the amount of hamburger meat required for 12 people

Amount of hamburger meat required for 12 people = 3 × 3

Performing multiplication to find the amount of hamburger meat required for 12 people

Amount of hamburger meat required for 12 people = 9 pounds

Therefore, Brain needs to buy 9 pounds of hamburger meat.

Learn more about unitary method -

https://brainly.com/question/24587372

#SPJ9

Answer:

d)2

Step-by-step explanation:

you would group-like terms and so

4q+q=11-1

5q=10(you would let q stand on it own)

so you divide through by 5

5q/5=10/5

q=2

The coordinates are:

To find the coordinates:

In Analytical Geometry, the midpoint of a line is calculated as the mean of two points, as follows:

[tex]$$x_m=\frac{x_1+x_2}{2}, y_m=\frac{y_1+y_2}{2}$$[/tex]

Each segment has two endpoints and two midpoints, which are as follows:

We must be cautious not to add the wrong coordinates.

In the first line A:

[tex]$$\begin{aligned}&2=\frac{1+x_2}{2} \\&4=1+x_2 \\&4-1=-1+1+x_2 \\&x_2=3 \\&-1=\frac{y_2-9}{2} \\&-2=y_2-9 \\&+2-2=y_2-9+2 \\&y_2=-7\end{aligned}$$[/tex]

So (3,7) is the other endpoint where the segment begins (1,-9).

The endpoint of the second line b at (-2,18) and its midpoint (5,9).

[tex]$$\begin{aligned}&5=\frac{-2+x_2}{2} \\&10=-2+x_2 \\&+2+10=+2-2+x_2 \\&x_2=12 \\&9=\frac{18+y_2}{2} \\&18=18+y_2 \\&-18+18=-18+18+y_2 \\&y_2=0\end{aligned}$$[/tex]

So, (12,0) is the opposite endpoint.

Therefore, the coordinates are:

Know more about coordinates here:

https://brainly.com/question/17206319

#SPJ4

The correct question is given below:

A line segment has (x1, y1) as one endpoint and (xm, ym) as its midpoint. Find the other endpoint (x2, y2) of the line segment in terms of x1, y1, xm, and ym. Use the result to find the coordinates of the endpoint of a line segment when the coordinates of the other endpoint and midpoint are, respectively, (1, −9), (2, −1) and (−2, 18), (5, 9).

Answer:

10 days

Step-by-step explanation:

60/50×12 give u the number of days it will last them

Answer:

Let Pip get = x

Fiona gets = x + 35

Ratio = 6:1

x+35/x = 6

x + 35 = 6x

5x = 35

x = 7

Total money = x + x + 35 = 14+ 35 = £49

Answer:

£49

Step-by-step explanation:

Fiona gets 35 more than Pip so 6-1 =5 and 5 portions = 35

so 1 portion = 7

7x6 = 42

7x1 =7

7+42 = 49

so they got £49

hope this works :)

Answer:

21(10)

Step-by-step explanation:

youll have to do 21 times 10

Answer:

[tex]\frac{210.00}{10}[/tex] = x

Step-by-step explanation:

[tex]\frac{210.00}{10}[/tex] = x

Let x is the number that each person needs to pay.

Answer:

2

Step-by-step explanation:

13+13=26

Answer:

Twice

Step-by-step explanation:

13+13=26

Answer:

25% is the correct answer

The rate of change from 1 hour to 2 hours will be 125 miles per hour. Option C is correct.

What is linear equation?

A relationship between two or more parameters that, shown on a graph, produces a linear model. The degree of the variable will be one.

Given that;

Two points on the graph are (1, 125) and (2, 250).

Now, The slope of the line is calculated as;

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Hence, Slope of the line passes through the points (1, 125) and (2, 250).

m = (250 - 125) / (2 - 1)

m = 125

So, The rate of change from 1 hour to 2 hours will be 125 miles per hour.

Learn more about the linear equation visit:

https://brainly.com/question/4074386

#SPJ1

Answer:

Question:

A triangle has a perimeter of exactly 24 units. Which of the following could be the vertices of the triangle?

A.) (-1,3),(2,-1),(-1,-1)

B.) (6,0),(6,7)(0,7)

C.) (-1,-1),(-6,-13),(-9,-9)

D.) (-3,-4),(3,-4),(3,4)

Triangle and Coordinate Geometry

As the name suggests 'tri-angle' means it has three angles that are formed only when three sides are joined together.

So the triangle is a planner geometry that has three sides and three interior angles. In a triangle, the sum of all three interior angles is always

180

∘

.

If a triangle

A

B

C

has the sides

a

,

b

,

and

c

, then

The perimeter of the triangle:

P

=

a

+

b

+

c

In coordinate geometry, the distance between two points:

D

=

√

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

Answer and Explanation:

Given:

The perimeter of the triangle is

24

units.

There are four options with different-different vertices and one of them is correct, so we choose one option randomly and check it for the given perimeter.

Firstly we chose the option

D

:

The vertices of the triangle are:

P

(

−

3

,

−

4

)

,

Q

(

3

,

−

4

)

,

and

R

(

3

,

4

)

Using the distance formula:

D

=

√

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

So

P

Q

=

√

(

3

+

3

)

2

+

(

−

4

+

4

)

2

=

√

6

2

+

0

=

6

u

n

i

t

And

Q

R

=

√

(

3

−

3

)

2

+

(

4

+

4

)

2

=

√

0

+

8

2

=

8

u

n

i

t

And

P

R

=

√

(

3

+

3

)

2

+

(

4

+

4

)

2

=

√

6

2

+

8

2

=

√

36

+

64

=

√

100

=

10

u

n

i

t

So

The perimeter of the triangle

P

Q

R

is:

Perimeter

=

P

Q

+

Q

R

+

P

R

=

6

+

8

+

10

=

24

u

n

i

t

s

Step-by-step explanation:

we did 4 different substitutions to evaluate the expression in 4 different values of x.

Here we have a linear expression that depends on the variable x, and can be written as:

(5x + 25)

And we want to evaluate this in some different values of x. This just means that we need to replace the value of x by different numbers.

First, let's use x = 3

This will give:

(5*3 + 25) = 15 + 25 = 40

Then we use x = 5

(5*5 + 25) = 25 + 25  = 50

Then we use x = -5

(5*-5 + 25) = -25 + 25  =0

Finally, we evaluate in x = 0.

(5*0 + 25) = 0 + 25 = 25

So we did 4 different substitutions to evaluate the expression in 4 different values of x.

Learn more about evaluating expressions:

https://brainly.com/question/4344214

#SPJ1

The value of x will be 34°

Given that

(x+12)°+100°+x° are forming linear pair

Linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°. Such angles are also known as supplementary angles.

As mentioned, adjacent angles are angles that are next to each other. If you are sitting next to someone in class or on the bus, you could say that you are adjacent to them. More specifically, adjacent angles share a vertex and have a common side.

(x+12)°+100°+x°= 180°

⇒ x+ 12+ 100+x = 180°

⇒ 2x+112 = 180°

⇒ 2x = 180- 112

⇒ 2x = 68

⇒ x= 68/2

⇒ x= 34

For verification we will put value of x

(34+12)°+100°+34°

⇒ 46°+100°+34°

⇒146°+34°

⇒ 180°

So here we can see that by putting value of x we are getting the sum of 180°

Therefore value of x is 34

To learn more about angles

visit-:https://brainly.com/question/28451077

#SPJ9

Answer:

(10 + 3x) (10 - 3x)

Hope this helps!

Answer:

oh no I lost the Answer is was 18369

Answer:

Step-by-step explanation:

Answer:

About 9 sq yd

Step-by-step explanation:

First, you know that 3ft. = 1 yd. That means each square is 1 sq yd. The length of the herb garden is 6 squares, while the width is about 1.5 squares. If you multiply those two to find the area, then you get about 9 square yards.

A major disadvantage of correlations is that they cannot make a cause-and-effect statement.

Correlations are statistical measures that describe the size and direction of a relationship between variables.

Correlations are expressed as numbers. Correlations establish that relationships exist but do not explain if the change in one variable is caused by the change in another variable's value.

The disadvantages of correlations include:

Thus, a major disadvantage of correlations is that they cannot make a cause-and-effect statement.

Learn more about correlations at https://brainly.com/question/5483638

#SPJ1

Answer:

∠ABC = 40

∠CBC = 50

Step-by-step explanation:

∠ABC + ∠CBD = 90

2x + (3x - 10) = 90

2x + 3x - 10 = 90

5x = 100

x = 20

∠ABC = 2x = 2(20) = 40

∠CBC = 3x - 10 = 3(20) - 10 = 50

the linear function that represents the given line is:

y = f(x) = (-2/3)*x - 11

Here we have a line given by a point-slope equation:

y + 7 = (-2/3)*(x + 6)

And we would want to get a function of the form y = f(x). So the first thing we need to do is isolate y in one side of the above equation. If we subtract 7 in both sides we will get:

y = (-2/3)*(x + 6) - 7

Expanding that:

y = (-2/3)*x + (-2/3)*6 - 7

y = -(2/3)*x - 4 - 7

y = (-2/3)*x - 11

Then the linear function that represents the given line is:

y = f(x) = (-2/3)*x - 11

If you want to learn more about linear functions:

https://brainly.com/question/4025726

#SPJ1

The width of yard in inches is 72 inches.

We are given the perimeter and length of yard. We are also given the perimeter of the rectangle, which is as follows -

P = 2l 2w

Rewriting this formula in simplified form, by taking 2 common from both the values  -

P = 2×(l + w), where P refers to perimeter, l refers to length and w refers to width.

Now, keep the values in formula to find the width of rectangle -

22 = 2 × (5 + w)

Shifting 2 to other side of equation and performing division

5 + w = 22÷2

5 + w = 11

Shifting 5 to other side of equation and performing subtraction to find the value of width

w = 11 - 5

w = 6 feet

Now, we need the width in inches. We are given -

1 foot = 12 inches

So, 6 feet = 12 × 6

6 feet = 72 inches

Hence, the width of rectangular yard is 72 inches.

Learn more about calculations on rectangle -

https://brainly.com/question/19819849

#SPJ4

Answer:

72in

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

set it up

f(40)=-2x+10

40=-2x+10

subtract ten

30=-2x

divide by -2 to isolate the x

-15=x

Answer:

f(x) = -2x + 10

If f(x)= 40

By using equation,

or, 40=-2x+10

or, 40-10=-2x

or, 30=-2x

or, 30/-2=x

Therefore x=-15