A holiday decoration involves blue and white lights.The ratio of blue lights to white lights is 3 to 2 . The box the decoration came in stated that the number of blue lights was 114 but didn't give the number of white lights or the total number of lights.

Answers

Answer 1

Answer:

a. 76 b. 190

Step-by-step explanation:

a. Number of white lights

Since the ratio of blue lights to white lights is 3 to 2 and the number of blue lights is 114, it follows that 3 : 2 = 114 : x where x is the number of white lights.

So, 3/2 = 114/x

cross-multiplying,

3x = 114 × 2

3x = 228

x = 228/3

x = 76

b. Total number of lights

So, the total number of lights is thus number of blue lights + number of white lights = 114 + 76 = 190


Related Questions

The length of one leg of an isosceles right triangle is 7 units. What is the length of the hypotenuse?

Answers

Given that the hypotenuse of the isosceles right triangle
=
14
,

the length of each leg
=
14

2
=
7

2
Check :
(
7

2
)
2
+
(
7

2
)
2
=
196
=
14
2
(OK)

Find the coordinates of the vertex of the following parabola algebraically.
Write your answer as an (x, y) point.
y = x2

Answers

Answer:

I have no idea what it is sorry

jada made 10 cups of blueberry jam and divided the jam equally among 6 containers. how much jam went into each container

Answers

Answer:

3/5 or 0.6

Step-by-step explanation:

i dont really get the question, but 6+4= 10.

Solve for x in the literal equation −4 = xy + z.

Answers

Answer:

x = (-4 - z)/y

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

-4 = xy + z

Step 2: Solve for x

Subtract z on both sides:                    -4 - z = xyDivide y on both sides:                       (-4 - z)/y = xRewrite:                                                x = (-4 - z)/y

2y - 6x = 10
What’s the y intercept and slope and how do I rearrange them in the y=Mx+b form?

Answers

Answer:

Slope/m=3, y-intercept=5

Step-by-step explination

2y-6x=10

Factor out the common term of two

2y/2-6x/2=10/2      /=dividing

y-3x=5

Add 3x to both sides

y-3x+3x=5+3x

Simplify

y=5+3x

To get the slope-intercept form (y=mx+b)

y=3x+5      

8 cm
What is the area of the circle above?
OA. 8 sq cm
OB. 24 sq cm
OC.
16 sq cm
OD. 64 sq cm

Answers

Answer:

Step-by-step explanation:

A = (3.14)(8)2

= 200.96

At 3pm the outside Temperature was 4°F . The Temperature then fell steadily by 2°F every hour for the next four hours . What was the temperature at 7 PM

Answers

Answer:

Step-by-step explanation:

Temperature at 3pm: 4° F

After the decrease in temperature per hour by 2°F

Temperature at 4pm: 2°F

Temperature at 5pm: 0°F

Temperature at 6pm: -2°F

Temperature at 7pm:-4°F

Hence we can say that the temperature at 7pm is -4°F

Need Help Please answer and Find the measure of the exterior angle of the triangle.

Answers

Answer:

20

Step-by-step explanation:

Answer:

y°=70

Step-by-step explanation:

the angles inside a triangle must add up to 180 degrees, and thus the unknown interior angle is 180°-40°-30°=110°

this interior angle and the exterior angle are supplementary to each other and thus 110°+y°=180°

so y°=70°

you could also have used the theorem that states that the interior angles sum not adjacent to the exterior angle would equal the exterior angle

What is the equation of the line?
y= 1/2x-4
y = 2x + 2
y = 2x - 4
y =1/2x+2

Answers

the answer is y=1/2x+2

Explanation:
When you do rise over run you get 1/2. For the y-intercept you can see the line touches 2 so the y-intercept is 2.
last one, .............

Pleaseee help mee I will appreciate it

Answers

Answer:

Read explanation!

Step-by-step explanation:

A = $0.89

B = $0.92

C = $0.94

Carlota’s smartphone contains 500 megabytes of data. She uses 300 megabytes for applications and the rest for music. If each song takes an average of 4 megabytes, which equations can be used to find the number of songs on Carlota’s smartphone? Select all that apply. A. 500−300=4n B. 500+300=4n C. 4n+300=500 D. 300−4n=500

Answers

Answer: A:500-300=4n and C:4n+300=500

Step-by-step explanation:

write the first four terms of the arithmetic sequence given a1=-3 and d=-2

Answers

1) -3
2) -5
3) -7
4) -9

Explanation:
Arithmetic Sequence Formula
a(n) = a1 + (a - 1) (d)

a= term position
a(n)= nth term
a1= first term

An equilateral triangle has a perimeter of 12x + 33. What is the length of each side of the triangle?

Answers

Answer:

4x + 11

Step-by-step explanation:

Here all sides of the triangle have the same length.  Thus, if the Perimeter is 12x + 33, and there are three sides, then the length of one side is

12x + 33

------------- = 4x + 11

      3

Triangle ABC is similar to triangle DEF

Answers

Answer:

A my dude. good luck!!!!!

Answer:

A

Step-by-step explanation:

AC = 5

DF = 15

5 x 3 = 15

BC = 3

EF = 9

3 x 3 = 9

Do you see the pattern? So as you can see the difference between Triangle ABC and DEF is the multiply/divide 3 so if you want to find DE then you should set it up as:

[tex]\frac{4}{3}[/tex] = [tex]\frac{DE}{9}[/tex]  and to check if its right if you solve it you get [tex]\frac{4}{3}[/tex] = [tex]\frac{12}{9}[/tex]

and as you see [tex]\frac{12}{9}[/tex] and [tex]\frac{4}{3}[/tex] are literally the same thing just you need to simplify [tex]\frac{12}{9}[/tex]

help me read the instructions answer number 2 help me

Answers

Answer:

3. See explanation

2. [tex]\displaystyle Yes[/tex]

1. [tex]\displaystyle [2, 1][/tex]

Step-by-step explanation:

3. Substitution, Elimination, and Graphing are ALL three methods to solve a system of equations, whether they are in three variables or two. The only differense is that with graphing, you will easily spot when a system is dependent [Infinitive Solutions], inconsistent [no solution], and\or consistent [one solution]. With elimination, you want to eliminate one set of variables [set to zero] so that it will be alot simpler solving the system, then latre on, substitute whatever value solved for the remaining set of variables back into the system to solve for the eliminated variable. Finally, with substitution, all you have to do is choose which variable you want to solve for in all three equations, or two. It really does not matter which one, as long as you follow the proper universal concept in using the Order of Operations.

2. This is self-explanatory really. The only time you cannot use any method is when the linear equations form parallel lines. Otherwise, you will always have one or infinite solutions.

1. See above imagery

I am joyous to assist you at any time.

Make x the subject of the formula
X
y = x/a+b

Answers

Step-by-step explanation:

[tex]y = \frac{x}{a} + b \\ \frac{x}{a} = y - b \\ x = \frac{y - b}{a} \\ x = \frac{y}{a} - \frac{b}{a} [/tex]

please help will give brainliest

Answers

Answer:

C

Step-by-step explanation:

AE = 14.6 I think. If I'm wrong, use whatever number it is.

Sin(x) = 5/14.6

Sin(x) = 0.3425

x = Sin-1 (0.3425)

x =20.03

Now the other larger triangle has an acute angle of 90 -20.03 =  69.97

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

Cos(69.97) = 13.1/DE

DE = 13.1/cos(69.97)

DE = 38.25

A flagpole casts a 32-foot shadow at the same time that Evan casts a 9-foot shadow. If Evan is 6 feet tall, how tall is the flagpole?

Answers

Answer:

48

Step-by-step explanation:

by dividing 9 by 6 you get 1.5 and by using distribution you also multiply 32 by 1.5 to get 48

Which spinner could not be used to simulate a baby being born male or female. a spinner 2 equal section. A spinner with 3 equal sections. a spinner with 6 equal sections. A spinner with 10 equal sections

Answers

never gonna give you up

Answer:

C spinner with 7 equal sides

Step-by-step explanation:

Please help ASAP !!!

Answers

your answer is A !!!

Please mark BRAINLEST

i don't need the work just the answer!!

Answers

i believe that it’s y=5x

Teresa is running the hurdles for the track team. The race times are measured in hundredths of seconds. Teresa’s best time is 19.42 seconds. She needs to run in 18.87 seconds to win the race. If Teresa wins the race, how many seconds better will her new time be? *

a,38.29
b.27.29
c.0.55
d.0.45

Answers

The answer is c - 0.55

James is solving a number puzzle that involves three integers, a, b, and c, where c
is a positive integer. The product of A and B is 6. The product of a and c is – 4.
The product of b and c is -6.



Please help!!!

Answers

Answer:

a = -2, b = -3, c = 2

Step-by-step explanation:

We have the following three equations.

ab = 6

ac = -4

bc = -6

Multiply equation 2 and 3, we get

abc^2=24

Dividing it by the first equation, we get

c^2=4

c=2 or -2 (rejected since c is a positive integer)

We can then substitute c=2 into the equations, and find out that a = -2 and b = -3.

{(2,5), (-3, 4), (-4,-4), (x,-5)}
What value of x will make the relation a function?
-3
-4
5
2

Answers

5 because the value of c make the function

Answer:5

Step-by-step explanation:

because idrk my teacher just answered this question and i thought i would share :)

PLEASE HELP



The picture below shows a loading platform that extends out 6 feet from the back of a truck. What is the exact length of the platform?​

Answers

Answer:

really easy its 180

Step-by-step explanation:

because you multiply 30 times 6 u get 180

Answer:

5.2 ft

Step-by-step explanation:

[tex] \cos 30 \degree = \frac{6}{length \: of \: platform} \\ \\ \frac{ \sqrt{3} }{2} = \frac{6}{length \: of \: platform} \\ \\ length \: of \: platform = \frac{2 \times 6}{ \sqrt{3} } \\ \\ length \: of \: platform = \frac{12\sqrt{3} }{ 3} \\ \\ length \: of \: platform =4 \sqrt{3} \\ \\ length \: of \: platform =4 \times 1.732 \\ \\ length \: of \: platform = 5.228 \\ \\ length \: of \: platform = 5.2 \: ft[/tex]

5(14 – 39 ÷ 3) + 4 •

Answers

Answer:

9

Step-by-step explanation:

Answer:9

Step-by-step explanation:


In a bag of marbles, there are 4 blue marbles, 6 yellow marbles, 3 red marbles and 6 green marbles. If you choose a yellow marble on your first draw and do not put it back in the bag, what is the probability you get a blue marble on the second draw? probability you get a blue marble on the second draw?

a. 1/6
b. 6/19
c. 4/19
d. 2/9

Answers

The answer would be D. Because there was 19 in total and you took a marble out so that makes it 18 then you want the probability of the blue so 4/18 which equals 2/9

Hope this helps

Have a great day/night

12y - 4 what is answer

Answers

Answer: 4(3y−1)

Step-by-step explanation:

Answer:

4(3y - 1)

Step-by-step explanation:

To factor this find the greatest common factor of 12y and -4, which would just be 4.

Then, you have 4(3y - 1)

Use the domain (1/2, 1, 2, 4, 8) to plot the points on the graph for the given equation. The grid marks represent one unit,
the horizontal red line represents the x-axis, and the vertical red line represents the y-axis.
y = log 2 x

Answers

According to values of a function we can plot the points on a graph.

What is domain?

Domain is the value which we used to enter in a function to get the value of a function.

How to plot the points on the graph?

We have been given the domain of the function and we have to plot the value in the graph.

F(1/2)=log1=0

F(1)=log2=0.3

F(2)=log4=0.6

F(4)=log8=0.9

F(8)=log16=1.2

Learn more about graphs at https://brainly.com/question/4025726

#SPJ2

Problem
Jun used 56\,\text{cm}56cm56, start text, c, m, end text of ribbon to go around the edge of a rectangular lid. The lid was 13\,\text{cm}13cm13, start text, c, m, end text long.
What is the width of the lid?

Answers

Answer:

The width of the lid is 15 cm

Step-by-step explanation:

The Perimeter of a Rectangle

Given a rectangle of width W and height H, the perimeter is calculated as:

P = 2(W + L)

Jon used 56 cm of ribbon to go around the edge of a rectangular lid. This means the perimeter is:

2(W + L) = 56

Dividing by 2:

W + L = 28

Since the lid was L=13 cm long, the width is:

W = 28 - 13 = 15

The width of the lid is 15 cm

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