The formula for simple interest is I=Prt. please help

a. Solve the formula for t.

t=

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

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

Answer:

25% is the correct answer

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]

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

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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:

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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:

2

Step-by-step explanation:

13+13=26

Answer:

Twice

Step-by-step explanation:

13+13=26

Answer:

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

Hope this helps!

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.

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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.

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.

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The Janitor used 8/15 of the bottle

How to calculate the amount of the solution of the bottle used ?

The Janitor has 3/5 of a spray bottle solution

He uses 1/9 of the solution in a day

The amount of solution used can be calculated as follows

3/5 × 1/9

= 3/45

= 1/15

The initial amount  in the bottle is

3/5 - 1/15

= 8/15

Hence the amount of solution he has used is 8/15

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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

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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.

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:

∠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

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.

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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.

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Answer:

72in

Step-by-step explanation:

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:

5 x + 4 y = 4 b

Step-by-step explanation:

You haven't specified what form you need. Here is the Standard form, but you can also calculate the Slope intercept form points and the Point-Slope form.

Find the equation of the line in standard form with the properties:

slope: m = -5/4

At least two parameters must be provided to determine a line equation:

Since the line is incompletely determined, compute the equation assuming an arbitrary y-intercept b

Substitute the slope m = -5/4 into the slope-intercept equation y = m x + b:

y = -(5 x)/4 + b

Add (5 x)/4 to both sides:

(5 x)/4 + y = b

Multiply both sides by 4:

4 ((5 x)/4 + y) = 4 b

Distribute: 4 ((5 x)/4 + y) = 5 x + 4 y:

Answer: 5 x + 4 y = 4 b

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.

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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.

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Answer:

10 days

Step-by-step explanation:

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

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:

Answer:

oh no I lost the Answer is was 18369

Answer:

Step-by-step explanation:

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.

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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.

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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

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Answer:

2/15

Step-by-step explanation:

Slope: m=(y2-y1)/(x2-x1)

m = (3 - 7)/(-14 - 16) = (-4)/(-30) = 4/30 = 2/15