If ABF= (7x + 20), FBC=(2x - 5), and ABC= 159", find the value of x. x =

Answer:

x<0

Step-by-step explanation:

Let's solve your inequality step-by-step.

−4+

x

3

<−4

Step 1: Simplify both sides of the inequality.

1

3

x−4<−4

Step 2: Add 4 to both sides.

1

3

x−4+4<−4+4

1

3

x<0

Step 3: Multiply both sides by 3.

3*(

1

3

x)<(3)*(0)

x<0

Let x be the number:

Twice the difference of a number and 5 is 30:

2(x - 5) = 30

Divide both sides by 2:

x - 5 = 15

Add 5 to both sides:

x = 20

Ans: A

Answer:

b = A / h

Step-by-step explanation:

A = b * h

Dividing the equation by h to get b on one side give us:

A / h = b * h / h

A / h = b * 1

A / h = b

b = A / h

Answer:

Distance-Rate-Time and other Products

In this lesson, we will investigate the relationship between the distance traveled, the rate or speed or travel, and the time that it takes to travel that distance at that rate. We will also look at a few other related products.

Distance = (Rate)(Time)

The equation that relates distance, rate, and time is

d = rt

Where d is the distance traveled, r is the rate, and t is the time. On the CAHSEE exam, you will be given two of these and will be asked to use the above equation to find the third.

Example 1

It took Markus half an hour to drive home from work. He averaged 34 miles per hour. How far does Markus live from his work?

Solution

We are given that it takes 1/2 an hour for the trip. This is a time:

t = 1/2

We are given that he averages 34 miles per hour. This is a rate:

r = 34

We are asked how few he has traveled. This is a distance. We use the d=rt equation:

d = rt

= (34)(1/2)

= 17

Markus lives 17 miles from work.

Now try one by yourself. If you want to see the answer, put your mouse on the yellow rectangle and the answer will appear.

Exercise 1

The current along the beach is moving towards the south at 1.5 miles per hour. If a piece of debris is placed into the water, how far will the current take it in 6 hours?

9 miles

Example 2

Elena always rides her bicycle at a speed of 15 miles per hour. On Sunday, she goes on a 24 mile bike ride. How many hours does this ride take?

Solution

The speed of 15 miles per hour is a rate. The key words that tell us that this is a rate are "speed" and "miles per hour". We can write:

r = 15

Next, 24 miles is a distance. We have:

d = 24

Now use the d=rt equation to get

24 = 15t

To solve this, divide both sides by 15 to get

t = 24/15

Both are divisible by 3, so this fraction reduces to

t = 8/5 = 1.6

Elena's ride takes 1.6 hours.

Solution:

f(10) = 10/2 + 8

f(10) = 5 + 8

f(10) = 13

Best of Luck!

a = 3

b = -1

Then,

Solution :

★ a - 2b + ab .........(Given equation)

➨ 3 - 2(-1) + (3)(-1)

➨ 3 + 2 - 3

➨ 2

Therefore, the required answer we get is 2.

Answer:

9/10

Step-by-step explanation:

the rule says

[tex]\frac{a}{b} /\frac{c}{d} =\frac{ad}{bc}[/tex]

so in our case

a=3

b=4

c=5

d=6

so the division is

[tex]\frac{3*6}{4*5} \\\\=\frac{18}{20}[/tex]

we can simplify

[tex]\frac{18}{20} \\\\=\frac{2(9)}{2(10)} \\\\=\frac{9}{10}[/tex]

that's our answer

I don't know if you need step by step of the rule, if you need let me know

The division of the fractions are solved and A = 9/10

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the numerator of the fraction be p

where the value of p =  ( 3/4 )

Let the denominator of the fraction be q

where q = ( 5/6 )

Now , the fraction is A = p/q

On simplifying the expression , we get

So , the left hand side of the equation is equated to the right hand side by the value of p/q

A = ( 3/4 ) / ( 5/6 )

A = ( 3/4 ) x ( 6/5 )

On further simplification , we get

A = ( 18 / 20 )

A = 9/10

Therefore , the value of A = 9/10

Hence , the fraction is A = 9/10

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Answer:

Step-by-step explanation:

the number is 1300 if we have 40% from it will give us 520

Answer: 210

Step-by-step explanation:

We know that the number of combinations of n things taken r at a time is given by :-

[tex]C(n,r)=\dfrac{n!}{r!(n-r)!}[/tex]

So, number of ways to select 3 plants out of 7 = [tex]C(7,3)=\dfrac{7!}{3!4!}=\dfrac{7\times6\times5\times4!}{6\times 4!}=7\times5=35[/tex]

Also number of ways to arrange them in 3 positions = 3! = 6

Now , total number of arrangements with 1 plant in each spot = (number of ways to select 3 plants out of 7) x (number of ways to arrange them in 3 positions)

= 35 x 6

=210

Hence, required number of ways = 210

Since, the arrangement does not matter, we use the principle of combination, Hence, the number of display arrangement possible is 210

This could be defined thus as : (7C3) × 3! ;

3! = number of ways to arrange the 3 plants into the 3 spots

Recall :

7C3 = [tex] \frac{7!}{(7-3)!3!} = \frac{7!}{4!r3!} [/tex]

7C3 = [tex] \frac{7×6×5}{6} = 35 [/tex]

3! = 3 × 2 × 1 = 6

(7C3) × 3! = 35 × 6 = 210 ways

Therefore, there are 210 possible arrangements which can be made.

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Answer:

x = - 2

Step-by-step explanation:

Given

6 - 4x = 7x - 9x + 10, that is

6 - 4x = - 2x + 10 ( add 2x to both sides )

6 - 2x = 10 ( subtract 6 from both sides )

- 2x = 4 ( divide both sides by - 2 )

x = - 2

Answer: x = -2

Step-by-step explanation:

Answer:

You subtract 116 from 48 and then the answer is 68°

Step-by-step explanation:

what can go in

both numbers

2,4,8

let use 8 since u said to the simplest form

48÷8=6

16÷8=2

therefore, 6:2

Answer:

1. Frame 1 to Frame 2 - Vertical downward translation

2. Frame 2 to Frame 3 - [tex]90^{0}[/tex] counterclockwise rotation

3. Frame 3 to Frame 4 - Vertical upward translation

Step-by-step explanation:

The movement of the shapes from one frame to the other can be described by solid transformations. These are procedures required to change the orientation or size of a given shape. They include: rotation, translation, dilation and reflection.

1. When the shape in frame 1 is translated vertically downwards, it would produce the shape in frame 2.

2. Rotating the shape in frame 2 by [tex]90^{0}[/tex] counterclockwise would move it to the shape in frame 3.

3. Vertical upward dilation would move the shape in frame 3 to that in frame 4.

Answer:

115 degrees

Step-by-step explanation:

14x+3+4x+10=157

14x+4x+3+10=157

18x+13=157

18x=157-13

18x=144

X=8

14x+3

(14×8)+3

112+3=115

Answer:

f(x) = 3.7x + 3

Step-by-step explanation:

Using the fact that y = f(x), then rearrange the equation making y the subject.

- 3.7x = 3 - y ( add y to both sides )

y - 3.7x = 3 ( add 3.7x to both sides )

y = 3.7x + 3 , that is

f(x) = 3.7x + 3

Answer:

1/10 or 10%

Step-by-step explanation:

There are 6 numbers:

Probability of drawing 3 is:

Then probability of drawing an even number is:

Combination of two above is:

Answer:A cube shaped box has a volume of 27 cubic inches bethany says each side of the cube measures 9 inches because 9 x 3 = 27.

Step-by-step explanation:hope this help you ok

Answer:

360

Step-by-step explanation:

If you multiply 20 by 6 you get 120

then if you multiply 1.50 by 8 you get 12

then multiply 12 by 20 which equals 240

add 240 by 120 you get your final answer 360

Answer:

x + y = -13

Step-by-step explanation:

The equation of a line is y=mx+c

Line x+3y-9=0

Let's rearrange.

3y= -x+9

Divide both sides by 3.

3y/3 = -x/3 +9/3

y= -x/3 + 3

The gradient is the coefficient of x which is -1/3.

Therefore, m1 = -1/3

Where m1 is the gradient of the first line.

When two lines are parallel, their gradients are equal.

Therefore m1=m2

Where m2 is the gradient of the second line.

Therefore m2=-1/3

Now, we need to find c.

(2,-5)

Here, x=2, y=-5

y=mx+c

-5 = -1/3(2) + c

-5 = -2/3 + c

-5 + 2/3 = c

This can also be written as...

c = -5 +2/3

The LCM is 3.

The addition will give -13/3.

Now, let's create the equation We have m2 and c.

y = mx + c

y = -1/3(x) + (-13/3)

Take note of the signs, (+), and (-).

y = -x/3 - 13/3

Multiply both sides by 3 to remove the denominators.

(3)y = (3)-x/3 - (3)13/3

y = -x - 13

Or

x + y = -13

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The given lines n: y = -2x-4 and line m: y = -2x+8 are neither parallel nor perpendicular

The slope of the parallel line is 0 and the slope of the perpendicular line is undefined.

The lines are parallel if their slopes are the same but their y-intercepts differ. The lines are not parallel if the slopes differ. Perpendicular lines, unlike parallel lines, do intersect. Their intersection creates a 90-degree angle.

Here given line ,

y = -2x - 4

= y = 2x + 4

Since this is in mx + b form ,

m is the slope

So slope = 2.

Given another line = -2x + 8

Slope = -2

Since slopes are not equal they are not parallel .

Since slopes are not negative reciprocal they are not perpendicular .

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Answer:

92

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

4+4+4 is 12. So you carry the 1 to the tenths place and keep the 2.

(1)

64

 14

+14

------

   2

Then you add 1+6+1+1, which is 9.

(1)

64

 14

+14

------

 92

Answer:

The new coordinates would be (-5,-3)

Step-by-step explanation:

Reflecting a point of the y-axis changes the sign of the point's x-coordinate.

Answer:

The conclusion of the conditional statement is;

it is an integer and a prime number

Step-by-step explanation:

The statement that the argument claims to be true or the statement that the rest of a conditional statement leads to is the conclusion of a conditional statement

Given a conditional statement, also known as an if-then statement, which can be represented symbolically as p → q, such that the hypothesis is p and the conclusion is q.

In the given statement, the hypothesis, p = a number is odd, while the conclusion, q =  it is an integer and a prime number

Therefore, the conclusion of the conditional statement is it is an integer and a prime number.

However, only the converse of the statement is true, which is given as follows;

If a number is an integer and a prime number, then it is an odd number

Answer:

B. 4 tablespoons

Step-by-step explanation:

Let’s make a proportion using the following setup:

tablespoons/servings=tablespoons/servings

We know that 12 tablespoons are needed for 60 servings.

12/60=tablespoons/servings

We don’t know how many tablespoons are needed for 20 servings. We can say x tablespoons make 20 servings.

12/60=x/20

Want want to solve for x, so we must isolate x. x is being divided by 20. The inverse of division is multiplication. Multiply both sides of the proportion by 20.

20*(12/60)=(x/20)*20

20*12/60=x

20*0.2=x

4=x

x= 4 tablespoons

4 tablespoons of butter are used to make 20 servings.

Answer:

Option C: 45 degrees

Step-by-step explanation:

edge2021

Answer:

C) 45°

Step-by-step explanation: