1. In triangle ABC, the measure of ∠ABC is 42°, and the measure of ∠BCA is 113º.
What is the measure of ∠CAB?

How do you know that is the answer?

Answer: Small Candle = 12, Large Candle = 16

Step-by-step explanation:

Equation is this, s+l=28 2nd equation is 4s+6l=144

now you multiply every number in the second equation by -6 since positive 6 is the second equations second constant. Now you got -6s-6l=-168 And 4s+6l=144. The -6l and positive cancel so now you got -6s + 4s = -168+144. Now you got -2s = -24. Divide them both by negative two then you get s = 12. 28 candles total - 12 = 16 so 16 large candles and 12 small. L = large candles, S = small candles.

Answer:

8 small candles

16 large candles

Step-by-step explanation:

1. Approach

Set up a system of equations to solve this problem. Call the number of small candles sold (x), and the number of large candles sold (y). Have one expression model the amount of money earned, the other model the number of candles sold. Then, solve this system of equations using the process of elimination. In the process of elimination, one multiplies one of the equations by a term such that one of the coefficients of a variable in one of the equations is the additive inverse of the corresponding variable in the other equation. This means that when one adds the two equations, one of the variables will eliminate. Then one can solve for the other variable, and finally, substitute the value of the variable that one found back into one of the equations, and solve for the value of the other variable.

2. Set up a system of equations

Use the given information to set up a system of equations to describe the amount earned, and the amount sold

x + y = 28 -> amount sold

4x + 6y = 144 -> amount earned

3. Solve the system

As explained above, the process of elimination is a method of solving a system of equations. In the process of elimination, one multiplies one of the equations by a term such that one of the coefficients of a variable in one of the equations is the additive inverse of the corresponding variable in the other equation. This means that when one adds the two equations, one of the variables will eliminate.

x + y = 28 (*-4)

4x + 6y = 144

-4x - 4y = -112

4x + 6y = 144

___________

2y = 32

/2     /2

y = 16

4. Solve to find out how much of the other candle was sold

Now back solve, substitute the found value into one of the equations, and solve to find the other value

x + y = 28

y = 16

x + 16 = 28

    -16     -16

x = 8

Answer:

[tex]\frac{x}{20}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x}{4}[/tex] - [tex]\frac{x}{5}[/tex]

The LCM of 4 and 5 is 20

= [tex]\frac{5x-4x}{20}[/tex]

= [tex]\frac{x}{20}[/tex]

Answer:

504 is the answer

Answer:

3a^2 + 28b^2 - 5ab

Step-by-step explanation:

here's your solution

=> to subtract (12x^2 + 15ab - 29b^2) from

( 15a^2 + 10ab + 8b^2)

=> (15a^2 + 10ab + 8b^2) - (12a^2 + 15ab - 20b^2)

=> 15a^2 + 10ab + 8b^2 - 12a^2 - 15ab + 20b^2

=> 15a^2 - 12a^2 + 8b^2 + 20b^2 + 10ab - 15ab

=> 3a^2 + 28b^2 - 5ab

hope it helps

Answer:

6 x y

Step-by-step explanation:

Expanded

Or add y 6 times

y + y + y + y + y + y

Answer:

Step-by-step explanation:

y + y + y + y  + y + y

Hope that helps!

Answer:

THE ANSWER IS 3×2-5×+6

Step-by-step explanation:

HERE IS A PIC OF THE WORK

Answer:

[tex] - \frac{1}{5} [/tex]

Answer:

x=2

Step-by-step explanation:

4x=-x+10

To find x, we first add x to each side to get rid of -x on the right side.

5x=10

Then, we divide each side by 5 to get x by itself.

x=2

And that's your answer :)

Answer:

The equation is;

p + 90 = 120 minutes

Danielle’s drive from work to the park took 30 minutes ( p = 30 minutes)

Step-by-step explanation:

Here, we want to write and solve an equation

Here, we want to get the time taken by Daniele from the park to work

From the question, the total commute is two hours

since 1 hour is 60 minutes, it follows that 2 hours is 120 minutes

Now, if we added the time taken to commute both journeys, we have the total as 2 hours

This means;

p + 90 = 120 minutes

p = 120 - 90

p = 30 minutes

40=4(3d-5)

40=12d-20

60=12d

5=d

d=5

Answer:

I think B

Step-by-step explanation:

aaaaAjshfbd pub d guy x gu dc

The same amount deposited weekly into a bank account can be represented by a Linear.

Therefore, option A is correct.

Linear functions have a straight line as their graph. The following is the form of a linear function. a + bx = y = f(x). There is one independent variable and one dependent variable in a linear function. x is the independent variable, and y is the dependent variable.

The degree of the model for data presented as ordered pairs can be determined by determining the differences between dependent values.

If the same amount deposited weekly into a bank then the difference between consecutive deposits will be same.

Thus, the situation shows the linear function.

Learn more about linear function here:

https://brainly.com/question/20286983

#SPJ3

Answer: The geometric mean is √24 * 32 = √768 = 16√3.

The geometric mean between 28 and 32 is 28.29 after using the formula of the geometric mean.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

Let x be the geometric mean between 28 and 32

The formula for the geometric mean:

x = √(a×b)

x = √(28×32)

x = √800

x = 20√2

x = 28.284

or

x = 28.29

Thus, the geometric mean between 28 and 32 is 28.29 after using the formula of the geometric mean.

Learn more about the mean here:

https://brainly.com/question/22871228

#SPJ2

Answer:

The width of the window is 176 cm

Step-by-step explanation:

The perimeter is the outside of a shape. If the perimeter is 242 cm and we know the length is 66 cm, we use what we have. We take 242 and subtract it by 66 and get 176 cm

Answer:

7 pairs = 140

Step-by-step explanation:

7 pairs of shoes will cost $560

explanation: 80 x 7 is 560

Answer:

∅=53°

Step-by-step explanation:

Given opposite and hypothenuse. Use the sin ratio:

sin∅=opp/hyp

sin∅=12/15

∅=sin-1 12/15

∅=sin-1 0.8

∅=53.13010235415.

∅=53°

Answer:

.

Step-by-step explanation:

Answer:

20 miles after 10 track practices

Step-by-step explanation:

8/4= 2 miles per 1 practice

He runs 2 miles a track practice so 10 practices (2 miles) = 20 miles

Answer:

Step-by-step explanation:

∠BEF = ∠ABE   {Alternate interior angle}

∠BEF = 60

∠EQR = ∠ BEF         {Corresponding angles}

∠EQR = 60

In ΔEQR

∠QER + ∠EQR + ∠ERQ = 180 {angle sum property}

80 + 60 +x = 180

140 + x = 180

          x = 180- 140

x = 40

Answer:

it should go cup pint quart.

Answer:

y=x

Step-by-step explanation:

When y=x, then the line goes up 1 and right 1.

Answer:

d answer is correct

Step-by-step explanation:

I hope it will help you

The answer should be D because, you see the little addition plus signs by the circles, and they are adding every 5 circle and you have 8 in all in each circle.

So, 5 circles 5 shaded triangles and eight triangles in all.

Hope this helps, but if I get this wrong m sorry.

Answer:

Hello your question is incomplete attached below is the complete question

answer : ALTITUDE , x = 24

Step-by-step explanation:

The type of segment shown in Blue is ALTITUDE segment

This is because

Angle BCD = Angle CEG (opposite angles)

Angle ACD= Angle CFG (opposite  angles)

Angle ADC = Angle BCD= Angle CEG = Angle CFG

It can be seen that the triangles are similar hence

 18/27=16/x

therefore  X  =24

Answer:

c

Step-by-step explanation:

i just did it