Solve the equation 3x-7=x+23

Answer:

Option C.  y = ( c + b ) / a

Step-by-step explanation:

For this problem, we must simply isolate the y variable from the unknowns a, b, and c.

ay - b = c

ay - b + b = c + b

ay = c + b

ay * ( 1 / a ) = ( c + b ) * ( 1 / a)

y = ( c + b ) * ( 1 / a )

y = ( c + b ) / a

Thus, we will want to choose option C.

Cheers.

Answer:

12

Step-by-step explanation:

3 quarts is 6 pints

6 pints is 12 cups

if there is 4 cups in a quart then 4x3=12

Answer:

sine and cosec are inverse of each other.

cosine and sec are inverse of each other.

tan and cot are inverse of each other.

Step-by-step explanation:

Given point on terminal side of an angle ([tex]\frac{1}{3},\frac{1}4[/tex]).

Kindly refer to the attached image for the diagram of the given point.

Let it be point A([tex]\frac{1}{3},\frac{1}4[/tex])

Let O be the origin i.e. (0,0)

Point B will be ([tex]\frac{1}{3},0[/tex])

Now, let us consider the right angled triangle [tex]\triangle OBA[/tex]:

Sides:

[tex]Base, OB = \frac{1}{3}\\Perpendicular, AB = \frac{1}{4}[/tex]

Using Pythagorean theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow OA^{2} = OB^{2} + AB^{2}\\\Rightarrow OA^{2} = \frac{1}{3}^{2} + \frac{1}{4}^{2}\\\Rightarrow OA = \sqrt{\frac{1}{3}^{2} + \frac{1}{4}^{2}}\\\Rightarrow OA = \sqrt{\frac{4^2+3^2}{3^{2}.4^2 }}\\\Rightarrow OA = \frac{5}{12}[/tex]

[tex]sin \angle AOB = \dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\Rightarrow sin \angle AOB = \dfrac{\frac{1}{4}}{\frac{5}{12}}\\\Rightarrow sin \angle AOB = \dfrac{3}{5}[/tex]

[tex]cos\angle AOB = \dfrac{Base}{Hypotenuse}[/tex]

[tex]\Rightarrow cos \angle AOB = \dfrac{\frac{1}{3}}{\frac{5}{12}}\\\Rightarrow cos\angle AOB = \dfrac{4}{5}[/tex]

[tex]tan\angle AOB = \dfrac{Perpendicular}{Base}[/tex]

[tex]\Rightarrow tan\angle AOB = \dfrac{3}{4}[/tex]

[tex]cosec \angle AOB = \dfrac{Hypotenuse}{Perpendicular}[/tex]

[tex]\Rightarrow cosec\angle AOB = \dfrac{5}{3}[/tex]

[tex]sec\angle AOB = \dfrac{Hypotenuse}{Base}[/tex]

[tex]\Rightarrow sec\angle AOB = \dfrac{5}{4}[/tex]

[tex]cot\angle AOB = \dfrac{Base}{Perpendicular}[/tex]

[tex]\Rightarrow cot\angle AOB = \dfrac{4}{3}[/tex]

Answer:

Expected temperature = - 58°C

Step-by-step explanation:

Given:

Current temperature = 12°C

Drop in temperature = 70°C

Find:

Expected temperature

Computation:

Expected temperature = Current temperature - Drop in temperature

Expected temperature = 12°C - 70°C

Expected temperature = - 58°C

Answer:

y= - 7

Step-by-step explanation:

4y-2+2y= -44

6y-2= -44

6y= -44+2

6y= -42

y= -7

Answer:

y=-7

Step-by-step explanation:

4y-2+2y=-44

6y-2=-44

6y=-44+2

6y=-42

7=-7

Answer:

The number of hours they would have to drive for the first day if they average 50 mph over the course of the is 15 hours

Step-by-step explanation:

The given parameters are;

The distance the Roberts family plan to drive = 1500 miles

The average speed at which they drove = 50 mph

We note that the formula for average speed = Total distance/(time)

Therefore, we have;

50 mph = 1500 miles/(time, t)

Time = 1500 miles/(50 mph) = 30 hours

Given that for the first day of the 2 days, they will cover half their total distance, which is 1500 m/2 = 750 m

The time taken = 750 miles/(50 mph) = 15 hours

The time take to cover half the distance = 15 hours

Therefore, the number of hours they would have to drive for the first day if they average 50 mph over the course of the is 15 hours.

Answer:

26 units

Step-by-step explanation:

(-8, -10) and (18, -10)

Since the y values are the same, we only need to worry about the x values

18 - -8

18+8

26

The distance is 26 units

Answer:

8

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]1\frac{1}{2} \:cups \:of\:milk\\2.25\:cups \:of\:flour\\1\frac{1}{4} \:cups\:of\:other\:ingredients\\\\Total = 1\frac{1}{2} + 2.25 + 1\frac{1}{4} \\= 5\:cups\\\\1\:dozen = 5\:cups\\3 \:dozen(36\:cookies) = x \:cups\\\\Cross\:multiply\\\\x = 5\times 3\\x = 15 \:cups[/tex]

Answer:

x=554.41 m

Step-by-step explanation:

It is given that,

Height of the lighthouse, OA=224 ft

The angle of depression to a ship in the ocean is 22 degrees.

We need to find the distance between ship and the base of the lighthouse. The figure is attached. We can use trigonometry to find x.

[tex]\tan22=\dfrac{OA}{AB}\\\\\tan22=\dfrac{224}{x}\\\\x=\dfrac{224}{\tan22}\\\\x=554.41\ m[/tex]

So, there is a distance of 554.41 m between the ship and the lighthouse.

Answer:

$20

Step-by-step explanation:

If 42 people equally share the bus price off 788 dollars then ech person would be expected to pay 788/42 = $18.76 (2dp) though I suppose if you needed to estimate it, you would round 788 to 800 and 42 down to 40 which would give you 800/40 = 20 dollars per person which is a pretty close estimate.

Hope this helped!

Answer:

A. -6x  

B. -12n

C. 9.1y

D. 3m

Explanation:

Add each expression to get the final answer.

Answer:

I think the answer is 11/3

Answer:

9.4

Step-by-step explanation:

The distance formula is d=√((x₂-x₁)²+(y₂-y₁)²)

d=√((8-0)²+(0-5)²)

d=√((8²)+(-5²))

d=√(64+25)

d=√(89)

d=9.433981

d=9.4

Hope this helps :-)

Answer: 9.4 units

Step-by-step explanation:

Answer: All rational numbers are real numbers

Real numbers are those which can be represented on a real number line

A rational number is a number that can be written in the form of p/q where q is not equal to zero.

All rational numbers will be real numbers.

Option A is the correct answer.

A rational number is a number that can be written in the form of p/q where q is not equal to zero.

Example:

2 = 2/1 is a rational number.

1/2, 3/4, 5/6 are rational numbers.

We have,

________ rational numbers are real numbers.

We have to select from the options and fill in the blanks.

- ALL

- SOME

- NO

Real numbers can be any type of number except an imaginary number denoted by i = √-1.

So,

All rational numbers will be real numbers.

Thus,

All rational numbers will be real numbers.

Option A is the correct answer.

Learn more about rational numbers here:

https://brainly.com/question/24398433

#SPJ2

Answer:

The answer is either a or c .

Step-by-step explanation:

Answer:

c yw

Step-by-step explanation:

Answer:

-19

Step-by-step explanation:

2 (c + 3) = c - 13

2c + 6 = c - 13

2c + 19 = c

19 = - c

c = - 19

Answer:

Irrational Numbers

Step-by-step explanation:Irrational numbers never end and never end/repeat.

Answer:

The third one

Step-by-step explanation:

Answer:

-1≤x≤-6

Step-by-step explanation:

-1≤x≤-6 since it is inclusive means that -1 and-6 included

Answer:

1170 miles

Step-by-step explanation:

multiply 12 x 84 to get 1008 keep that 1008 for later. divide 72 by 60 you should get 1.2, times 1.2 and 15 and you should get 18 keep the 18. times 2 by 72 and get 144. add 144 and 18 to get 162. add 162 and 10008 to get 1170. the awnser is 1170 miles.

Answer:

Step-by-step explanation:

(8-8)/(-14+4) = 0/-10 = 0 is the slope

Answer:

well how many cards does kal have?? thats the main key to solving the question.

======================================================

Explanation:

The first bag has 26 beans total. Since 50% are yellow, this means 0.50*26 = 13 beans are yellow. Let A = 13.

The second bag has 28 beans, of which 25% are yellow, so 0.25*28 = 7 are yellow. Let B = 7.

The last bag has 30 means and 20% are yellow. So 0.20*30 = 6 are yellow. Let C = 6.

Add A,B,C to get A+B+C = 13+7+6 = 26 yellow from all three bags out of 26+28+30 = 84 beans total.

The percentage of yellow overall is 26/84 = 0.3095 = 30.95% approximately, which rounds to 31%

Answer:

0.703

Step-by-step explanation:

19/70 = 70.37/100

Hope This Helps :)

Answer:

0.7037

Step-by-step explanation:

0.7037 is a decimal and 70.37/100 or 70.37% is the percentage for 19/27.

Answer:

f(-1) = 1

Step-by-step explanation

[tex]f(-1)= 2(-1)^{2} + 3\\f(-1) = -2 + 3\\f(-1) = 1[/tex]

Answer:

4

Step-by-step explanation: 3 x 4 = 12.

                                             12 - 8 = 4.

Answer:

the 8 and 14 would be the coefficients

Step-by-step explanation:

coefficients are the numbers only next to the variables( like x or y) so since 8 and 14 are next to the variables they are the coefficients

Answer:

Divide the previous value by 5

Step-by-step explanation:

Answer:

x=3/8

Step-by-step explanation:

2*x=3/4

x=3/4*2

x=3/8

Answer:

9

Step-by-step explanation: