Solve the equation and explain each step using apropriate Properties
-4(3x+6)+6=-30

Answer:

5 kilometers per hour

Step-by-step explanation:

look at where the line meets a point. the first line is 1 hr and 5 kilometers. the second one would be 2 hrs and 10 kilometers.

hope this helps!

Answer:

It would be C

Step-by-step explanation:

Use a calculator, or go in Accounting.

Hope this helps :)

Answer:

∠B ≅ ∠F ⇒ proved down

Step-by-step explanation:

In the two right triangles, if the hypotenuse and leg of the 1st right Δ ≅ the hypotenuse and leg of the 2nd right Δ, then the two triangles are congruent

Let us use this fact to solve the question

→ In Δs BCD and FED

∵ ∠C and ∠E are right angles

∴ Δs BCD and FED are right triangles ⇒ (1)

∵ D is the mid-point of CE

→ That means point D divides CE into 2 equal parts CD and ED

∴ CD = ED ⇒ (2) legs

∵ BD and DF are the opposite sides to the right angles

∴ BD and DF are the hypotenuses of the triangles

∵ BD ≅ FD ⇒ (3) hypotenuses

→ From (1), (2), (3), and the fact above

∴ Δ BCD ≅ ΔFED ⇒ by HL postulate of congruency

→ As a result of congruency

∴ BC ≅ FE

∴ ∠BDC ≅ ∠FDE

∴ ∠B ≅ ∠F ⇒ proved

Answer:

I will explain each step

3(x-y) / 2 =9

so first you have to make the equation equal to 0 so you can find the intercepts

3(x-y) /2  -9 =0

now simplify

3x-3y/2 -9 =0

2(3x-3y/2 -9)=0(2)

3x-3y-18

we will factor

3(x-y-6)

3=0

(x-y-6)=0

make the x=0 to find y and vise versa

(-y-6)=0

-y=6

y=6/-1 or -6

(x-6)=0

x=6/1 or 6

2/3x +4(y-2)=0

it is already equal to 0 to we simplify and factor

3(2/3x = 4(y-2)= 0(3)

2x+ 4y -8

2(x+y-4)

2=0

as we did in the last problem make x=0 then do the same to y

(y-4)=0

y=4

(x-4)=0

x=4

Step-by-step explanation:

Step-by-step explanation:

Kinetic Energy (K. E) = 25 J

Mass ( m) = 2 kg

Velocity or speed (v) = ?

We have the formula that

[tex]ke \: = \frac{1}{2} m {v}^{2} \\ or \: 25 = \frac{1}{2} \times 2 \times {v}^{2} \\ or \: 25 = {v}^{2} \\ or \: {5}^{2} = {v}^{2} \\ therefore \: v \: = 5 \: m |s[/tex]

it's speed is 5 m/s .

Hope it helps. :)

The speed of the body is 5 m/s

Applying the formular of kinetic energy

Kinetic energy: This can be defined as the energy posses by a moving body or that depends on the speed of a body.

The formular for kinetic energy is

E = mv²/2.................... Equation 1

Where E = Kinetic energy of the body, m = mass of the body, v = veocity/ speed of the body.

make v the subject of equation 1 above

v = [tex]\sqrt{2E/m}[/tex]................ Equation 2

From the question,

Given: E = 25 J, m = 2 kg

Substitute these values into equation 2

v = [tex]\sqrt{2*25/2}[/tex]

v = [tex]\sqrt{50/2}[/tex]

v = [tex]\sqrt{25}[/tex]

v = 5 m/s.

Thus, the speed of the body is 5 m/s

Learn more about Kinetic energy here: https://brainly.com/question/20658056

Answer:

x = 4

Step-by-step explanation:

x in (-oo:+oo)

(3/4)*x+2 = 5 // - 5

(3/4)*x-5+2 = 0

3/4*x-3 = 0 // + 3

3/4*x = 3 // : 3/4

x = 3/3/4

x = 4

Answer:

BC= 3

Step-by-step explanation:

Suppose a line BD is 10 and it has a point C somewhere on the  line. It is given that BC is  3times and CD is 7 times  or algebraically  if we take x as a variable then according to the given information

BC+ CD= BD

3x+ 7x= 10

10x= 10

x= 10/10

x= 1

3x would give 3 (1)= 3

Hence the Line BC = 3

and the line CD= 7

Answer:

The answer is the first one

Step-by-step explanation:

Answer:

CD = -2x

Step-by-step explanation:

Negative reciprocal

Plus or Minus.

For example.

5 ± 2 = 5 + 2 or 5-2

Therefore the answer is 7 or 3.

Answer:

It means that the number can be positive or negative.

Step-by-step explanation:

I hope this helps!!!

Answer: $70.49

Step-by-step explanation:

Cost of gasoline = $2.75 per gallon

Cost of diesel fuel = $3.02 per gallon.

Since Gabriel needs to purchase 15.2 gallons of gasoline for his truck, the amount spent on gasoline will be:

= 15.2 × $2.75

= $41.80

Since he needs to spend 9.5 gallons of diesel fuel for his tractor, the amount spent on diesel fuel will be:

= 9.5 × $3.02

= $28.69

Total cost spent will be:

= $41.80 + $28.69

= $70.49

Answer:

First, let's define the transformations in a general way.

Vertical translation:

A vertical translation of N units is defined as:

g(x) = f(x) + N

if N is positive, the translation is up

if N is negative, the translation is down.

Horizontal translation:

A horizontal translation of N units can be written as:

g(x) = f(x - N)

if N is positive, the translation is to the right

if N is negative, the translation is to the left.

Reflected vertically (or a reflection over the x-axis)

This type of reflection changes the sign of the y component.

We can write those as:

g(x) = -f(x)

Then:

We start with the function:

f(x) = 2^x

First we reflect it vertically.

g(x) = -2^x

now we do a vertical translation of 5 units up, then:

g(x) = -2^x + 5

Now we do a translation of 3 units to the left, then we get:

g(x) = - 2^(x + 3) + 5

Then we already did the first step.

Now we want to find the domain for this function, the domain will be the set of the possible values of x that we can input in the function g(x).

Notice that in this function the denominator is never zero, so there are no values of x that generate problems here, so the domain will be the set of all real numbers, that can be written as:

(-∞, ∞)

3) Now we want to find the range, this is the set of the possible values of g(x).

The Largest value of g(x) will be when the exponential part tends to zero, this is for really small values of x, such that when x goes to minus infinity, -2^(x + 3) goes to zero.

Then:

g(-∞) ≈ 5

The maximum of the range is 5.

And we do not have a minimum, because as x increases the function will decrease infinitely.

Then the range will be:

(-∞, 5)

(A graph of the function can be seen below)

Answer:

let a be the number of angles is using the ratio of clownfish we can write the proportion

Step-by-step explanation:

cross multiply Zane divide both sides by 5 so there are 48 Angle Fish

for the Goldfish cross multiply or divide both sides by 4 so there are 36 goldfish

Answer:

Three-fourths × 56

0.75 × 56

3 × 14

Step-by-step explanation:

To obtain 75% of 56 ;

Mathematically ;

75% of 56 = 75/100 * 56 = 42 (valid)

= 0.75 * 56 ( valid)

(75/100) * 56 = (3/4) * 56 = 42 (valid)

(75/100) * 56 = (3/4) * 56 = 3 * (56/4) = 3 * 14 = 42 (valid)

0.25 * 56 = 14 ( invalid)

(1/4) * 56 = 14 (invalid

Answer:

3/4

Step-by-step explanation:

Answer:

4(7a+6)

Step-by-step explanation:

Factor 28a+24

28a+24

=4(7a+6)

Answer:

c

Step-by-step explanation:

Answer:

for sure the third one i did the test

Step-by-step explanation:

Answer:

x<=12

Step-by-step explanation:

3x+(-4)<=2x+8

3x-4<=2x+8

3x-2x-4<=8

x-4<=8

x<=8+4

x<=12

Answer:

12 ≤ x

Step-by-step explanation:

3x-4 ≥ 2x+8

3x-3x-4 ≥ 2x-3x+8

-4-8 ≥ -1x+8-8

-12 ≥ -1x

You divide -1 on both sides and get...

12 ≤ x

Because you have to switch the sign around. I hope this helps!!

Answer:

exact form:  -5/4

Decimal Form: -1.25

Answer:

-5/4

Step-by-step explanation:

so, in order to divide fractions you can switch the numerator and denominator of the second fraction, then multiply.

5/6 divided by -2/3

5/6 multiplied by -3/2

then multiply

5 times -3 is -15

6 times 2 is 12

-15/12

simplify

-5/4

Answer:

5b - 3

Step-by-step explanation:

5b-3 is the algebraic expression for "3 less than the product of 5 and b"

Expression is a combination of variables, numbers and Operators.

The given sentence is

"3 less than the product of 5 and b"

Let us write the sentence in algebraic form.

We know that product of 5 and b means multiplication of 5 and b that means five times of b.

3 less than means subtracting 3 from another number.

So 3 less than the product of 5 and b is 5b-3.

Hence 5b-3 is the algebraic expression for "3 less than the product of 5 and b"

To learn more on Expressions click:

https://brainly.com/question/14083225

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Answer:

Step-by-step explanation:

Answer:

6.5

Cause when u reciproce it this iswhat u get

Step-by-step explanation:

13/10÷2/10

13/10×10/2

1.3×5

=6.5

Answer:2/3

Step-by-step explanation:

Steps in pic below

Answer:

Step-by-step explanation:

For addition and subtraction, use the standard + and - symbols respectively. For multiplication, use the * symbol. A * symbol is not necessary when multiplying a number by a variable. For instance: 2 * x can also be entered as 2x. Similarly, 2 * (x + 5) can also be entered as 2(x + 5); 2x * (5) can be entered as 2x(5).

Answer: 4/5

Step-by-step explanation: 1/5 times 5/1=4/5

Answer:

Damian's test score is 1.50 standard deviations above the average test score of students in the course.

Step-by-step explanation:

Took the test

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that a coach has 17 pompoms to give to her cheerleading team and that each cheerleader needs 2 pompoms to compete.

The greatest number of cheerleaders that can compete will be calculated as:

= 17 / 2

= 8 1/2

Therefore, the greatest number of cheerleader is 8.

There be 1 pompom remaining.

Answer:

Rory rode 1.55 miles each day

Step-by-step explanation:

7.75 divided by 5