Mr. Santiago can buy light fixtures in packages of 12 and light bulbs in packages of 9. He bought the fewest number of light fixtures and light bulbs so that there is exactly one bulb per fixture with none left over.

How many packages of light fixtures and how many packages of light bulbs did Mr. Santiago buy?

I WILL GIVE BRANLIEST PLEASE HELP AND RIGHT ANSWER

Answers

Answer 1

Answer:

3 and 4 packages

Step-by-step explanation:

We need to find the LCM of 12 and 9.

9 = 3*312 = 2*2*3

Their LCM is:

LCM(12, 9) = 2*2*3*3 = 36

Number of light fixtures and light bulbs is 36.

Number of packages will be:

36/12 = 3 and36/9 = 4 respectively.
Answer 2

Step-by-step explanation:

First finding LCM of 9 and 12

9 = 3 × 3

12 = 2 × 2 × 3

LCM = 3 × 2 × 2 × 3

LCM = 36

Now,

No. of light fixtures = 36/12 = 3

No. of light bulb = 48/12 = 4


Related Questions

Please help will give brainly points

Answers

Answer:

-11

Step-by-step explanation:

if you put the numbers of the variebles in, it would be

-6-9+9-5

Answer:

9

-6a = 54

9x = -45

54 + (-45) = 9

Can somebody tell me the domain and show me or tell me the work plz.

Answers

Answer:

Set the denom to 0 and solve.

x^2 - 16 = 0 --> x = -4,4

This means the vertical asymptote is 4, -4.

Therefor, the domain is for all real numbers that are not 4, -4.

We ignore the top because if the numerator was 0, it's still a number. But if the denom was 0, then it would be impossible (you can't divide by 0). So for all numbers that can go into the denom that aren't 0, is your domain.

30 points please help

How do you determine if a line is broken (dashed)?
Group of answer choices

A. If the shading is below the boundary

B. if the inequality symbol is greater than or equal to and/or less than or equal to

C. if the inequality symbol is greater than or less than

D. if the slope is postive

Answers

Answer: c if the inequality symbol is greater than or less than

Step-by-step explanation:

Select the choice that translates the following verbal phrase correctly to algebra:

the difference of m and 7 increased by 15

m − (7 + 15)
7m + 15
(m − 7) + 15
m − 7 ÷ 15

Answers

Answer:

(m − 7) + 15

Step-by-step explanation:

Can someone please help me? I just need these question for finish my test.

Answers

Answer:

A. y = |x - 5| - 4

Step-by-step explanation:

The shape of the graph is a V with slope 1 on the right side and slope -1 on the left side. The parent function is y = |x|. The vertex of the V in the parent function is at (0, 0). Here, there has been a translation of the vertex to (5, -4).

The x-coordinate shifted 5 units right, or a shift of +5, and the y-coordinate shifted 4 units down, or a shift of -4.

y - k = |x - h| shows a shift of h units in x and k units in y when compared to the parent function y = |x|.

y - (-4) = |x - 5|

y + 4 = |x - 5|

y = |x - 5| - 4

Answer: A. y = |x - 5| - 4

Amy ate 5/8 of a pizza. If the pizza had 16 slices, how many slices of pizza did she eat?​

Answers

Answer:

[tex] \frac{5}{8}16 \\ 10[/tex]

Step-by-step explanation:

she ate 10 slices

please mark me brainliest

Find the length indicated? Need HELP!!! Will give a lot of point. Show work!!

Answers

Answer:

JH = 15

Step-by-step explanation:

KJ = 10

KI = 14

IH = 11

JH = ?

In order to find JH, we need to find JI, then add it to IH, which is 11. Here's the equation:

JH = JI + 11

In order to find JI, we need to subtract KJ from KI. Here's the equation:

14(KI) - 10(KJ) = JI

14 - 10 = 4

JI = 4

Now we plug in the numbers from our first equation:

JH = JI + 11

JH = 4 + 11

JH = 15

Answer:

JH= 15

Step-by-step explanation:

Let KJ= 10, KI= 14, and IH= 11KI - KJ = J14 - 10 = 4J + IH = JH4 + 11 = 15

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

H.O.T. Problems Higher Order Thinking
11. GCSS Use Math Tools Find examples of grocery item prices in a
newspaper, on television, or on the Internet. Compare unit prices of two
different brands of the same item. Explain which item is the better buy.

Answers

Answer: you would save 26 dollars per tire if you got the special deal instead of the normal price.

Step-by-step explanation: a pair = 2 (this is what i did i dont know what you learn by but the special deal is still cheaper.)

380/2=190

216-190=26

An old principle of public landscaping says "build sidewalks last." In other words, let
the people find their chosen paths and then build the sidewalks on the paths. The
picture below shows a campus quadrangle that measures 40 meters by 30 meters.

Answers

The path between each building is an illustration of Pythagoras theorem.

The sidewalk between library and humanities is 21.21 metersThe sidewalk between chemistry and humanities is 29.15 metersThe sidewalk between chemistry and humanities is 36.06 meters

See attachment for a copy of the given image.

The sidewalk between library and humanities

This is represented with (a).

The value of (a) will be calculated using Pythagoras theorem.

So, we have:

[tex]a^2 = 15^2 + 15^2[/tex]

[tex]a^2 = 450[/tex]

Take square roots

[tex]a = 21.21[/tex]

Sidewalk between chemistry and library

This is represented with (d).

First calculate the value of (b) and (c)

[tex]c + 15 = 30[/tex]

So:

[tex]c = 15[/tex]

Also:

[tex]b + 15 = 40[/tex]

So:

[tex]b = 25[/tex]

The value of (d) will be calculated using Pythagoras theorem.

[tex]d^2 = b^2 + c^2[/tex]

[tex]d^2 = 25^2 + 15^2[/tex]

[tex]d^2 = 850[/tex]

Take square roots

[tex]d = 29.15[/tex]

The sidewalk between chemistry and humanities

This is represented with (e).

The value of (e) will be calculated using Pythagoras theorem.

[tex]e^2 = d^2 + a^2[/tex]

[tex]e^2 = 850 + 450[/tex]

[tex]e^2 = 1300[/tex]

Take square roots

[tex]e = 36.06[/tex]

Learn more about Pythagoras theorem at:

https://brainly.com/question/343682

Explain how you know that the sums of 12.6,3.1 and 5.4 is greater than 20

Answers

Answer:

2.6+3.1+5.4 =21.1

if you have 20

subtract 21.1-20

then you have 1.1

since the difference is 1.1 then we say

21.1>20

plz help!!!!!!!!!!!!!!!!!!!

Answers

Answer:

X= 30

y= 10

Step-by-step explanation:

(2x+90)=5x ( Opposite angles)

2x+90=5x

5x-2x= 90

3x=90

x=90/3

x= 30°

5x =5(30)=150

2x+90=2(30)+90=60+90=150

3y+150=180

3y=180-150

3y=30

y=30/3

y=10

I hope I helped you^_^

Answer:

Step-by-step explanation:

Find cos(x) if [tex]\frac{sin^2x-1}{cosx} =-1[/tex].
A -1
B 2
C 1
D 0

Answers

(sin²(x) - 1)/cos(x) = -1

-cos²(x)/cos(x) = -1

-cos²(x) = -cos(x)

cos²(x) - cos(x) = 0

cos(x) (cos(x) - 1) = 0

Then it follows that cos(x) = 0 or cos(x) = 1. But if cos(x) = 0, then the original expression on the left side of the equation would be undefined. Then C is the only valid solution.

The volume of a crate with length of x feet, width of 8 - x feet, and a height of x - 3 feet is given by V(x)=x(8−x)(x−3) find the maximum volume of the crate and the dimensions for this volume

Answers

First, we need to find the maximum volume. In order to do this, we will first look at the dimensions of x and 8-x in the equation for volume. We can see that as x increases, so does 8-x. This means that there is a positive correlation between them. This also tells us that as x continues to increase, there will be a point where 8-x will equal 0. The maximum volume will occur when 8-x equals 0.

Therefore, the dimensions for the maximum volume are x=8 and x=-3.

Now we can solve for the actual maximum volume:

V max =(8)(8)-(3)(8)=64.

The maximum volume is 64 cubic feet and the dimensions for this volume are 8x=-3

Stanley analyzes the table of values for a polynomial function. He has determined through applying Descartes’ rule of sign that there is 1 negative real zero, and either 1 or 3 positive real zeros. He has also determined that the upper bound of the function is 3.
X , f(x)
-2, -105
-1, 0
0, 5
1, -2
2, 3
3, -20
4, -175

a. What is the degree of the polynomial function? How can you tell?

b. How many positive real zeros does the function have? How can you tell?



Answers

9514 1404 393

Answer:

  a) 4

  b) 3

Step-by-step explanation:

a. The total number of real and complex zeros is equal to the degree of the polynomial. That total is (1 negative real) + (3 positive real/complex) = 4 total zeros. The degree of the polynomial is 4.

The even degree is confirmed by the answer to part b, and by the end-behavior shown in the table, which has a tendency to -∞ for |x|→∞.

__

b. The intermediate value theorem tells you there will be zeros in the intervals (0, 1), (1, 2), and (2, 3) according to the values in the table. (The function changes sign in those intervals.) Thus there are 3 positive real zeros.

_____

Additional comment

Stanley cannot tell anything about Descartes' rule of signs by analyzing the table of function values. To use that rule, he must have terms of the polynomial. If he has those terms, he already knows the degree of the polynomial.

8. Evaluate 5-3 with no negative exponents.
A. 125 B. -125
c. 1 D.
D. - 1

Answers

Answer:

5 - 3 = 2?

Explanation:

It's 2?

You take a package to your local shipping company. They charge a fixed base cost of 6 per package plus an additional 0.39 per pound If p represents the number of pounds and c is the total cost of shipping your package write the linear equation that represents the relationship between pans c

Answers

Answer:

c = 6 + 0.39p    or    c = 0.39p + 6

Step-by-step explanation:

p = #pounds

c = total cost to ship

cost c = $6 + $0.39p  ($6 flat fee + $0.39 per pound)

Answer:

C=0.39P+6

Step-by-step explanation:

0.39 is per pound, 6 is the fixed charge

Maggie's brother is 11 years younger than three times her age. The sum of their ages is 41.

How old is Maggie?

Maggie is_______ years old

Answers

Answer:

Maggie is 13 years old.

Step-by-step explanation:

The explanation is attached.

draw and label what in the picture​

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The triangle will have the noted sides the same length. It is best if they are marked as having the same length. The names of the same-length segments tell you the a.pex is point Y.

Find the value of x
50
x


Answers

The value of X is 80

What is the area of the shaded rectangle?

Answers

Answer:

Step-by-step explanation:

The yellow face has a height of 2 inches and a length of 7 inches.

The area = 2 * 7 = 14.

Find the 2 and 7 on the left diagram.

Solve this problem and show the steps please because I’m so confused

Answers

Answer:

= 77

Step-by-step explanation:

{3 × [tex]2^{2}[/tex] - 3} -2 × 11

Solve the brackets first

{ 3 × 4  - 3} -2 × 11

{12 - 3 }  -2 × 11

9  -2 × 11

9  -22

= -13

Answer:

-13

Step-by-step explanation:

Solve in the bracket first

(3*4 -3) -2 * 11

(12 - 3) -22

9 - 22

-13 is the final answer

helpppppppppppppppppppppppppppppppppp me!

Answers

the answer is 44 sorry I am running late but hope this helps

What are the coefficients of the terms?
5 9
t+8t -t

Answers

Step-by-step explanation:

t coefficient = 1

+ 8t coefficient = 8

-t coefficient =( -1)

if 5(x-6)=8 then x=?

Answers

2(x - 3) - 4(x - 6) = 7x

2x - 6 - 4x + 24 = 7x

-2x + 18 = 7x

-2x - 7x = -18

-9x = -18

x = -18 ÷ (-9)

x = 2

5(x - 6) = 8

5x - 30 = 8

5x = 8 + 30

5x = 38

x = 38/5

The animal rescue has 3 cats for
every 8 dogs. If there are 20 more
dogs than cats, how many dogs are
there?
dogs

Answers

Answer:

32

Step-by-step explanation:

8-3=5

20÷5=4 sets

Hence, no. of dogs=4×8

=32

Let cats be x

Dogs be x+20

ATQ

[tex]\\ \sf\longmapsto \dfrac{x}{x+20}=\dfrac{3}{8}[/tex]

[tex]\\ \sf\longmapsto 8x=3(x+20)[/tex]

[tex]\\ \sf\longmapsto 8x=3x+60[/tex]

[tex]\\ \sf\longmapsto 8x-3x=60[/tex]

[tex]\\ \sf\longmapsto 5x=60[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{60}{5}[/tex]

[tex]\\ \sf\longmapsto x=12[/tex]

[tex]\\ \sf\longmapsto x+20=12+20=32[/tex]

1) Convert the following to decimals:
a) 25% b) 60% c) 72.1%
d) 7%
e) 9.5%
f).66%

Answers

25% = 25% : 100% = 0,25 ← the end

60% = 60% : 100% = 0,6 ← the end

72,1% = 72,1% : 100% = 0,721 ← the end

7% = 7% : 100% = 0,07 ← the end

9,5% = 9,5% : 100% = 0,095 ← the end

66% = 66% : 100% = 0,66

if angle 1 and angle 2 are vertical angles, angle 2 and angle 3 are complementary angles and the measure of angle 3 is 56 degrees find measure of angle 1​

Answers

Answer:

34º

Step-by-step explanation: so basically you know a complementary angle is 2 angles that make a straight line and a vertical angle crosses which means 2 angles are congruent to each other so I drew a line that bisected the angle by drawing a line that cut through the right angle and i extended a line down from the right angle so now I have a vertical angle and a complementary so from here I labeled each angle <1 <2 <3  If I know angle 3 is 56º then I know 56 plus __ equals 90º I then subtracted 56 from 90 and I got 34 and since I am trying to figure out what angle 1 is I know that angle 1 and 2 are vertical angles therefore I know they are congruent to each other so <1 = 34º

The _____ measures the variation in the dependent variable that is explained by variables other than the independent variable in simple regression analysis .
a. total sum of squares
b. sum of squares error
c. sum of squares within
d. sum of squares regression

Answers

I would say c or d but i believe it is (D) hope this helps

Which of the following is equal to the rational expression when x ≠ -1 or -7?

(X+1)(x-1)
——————
(X+7)(x+1)

A. x+1
——
x+7

B. x+7
———
x-1

C. x-1
——
x+7

Answers

9514 1404 393

Answer:

  C.  (x -1)/(x +7)

Step-by-step explanation:

The factor (x +1) in the numerator cancels the same factor in the denominator, leaving the ratio (x -1)/(x +7). This matches choice C.

_____

Additional comment

Even though (x+1)/(x+1) = 1 and can be removed from the expression, the fact that it is undefined at x=-1 means the reduced ratio (x-1)/(x+7) is only a valid representation of the original ratio when x≠-1. The factor (x+1) may be gone, but the domain restriction associated with it remains.

What is the quotient?



4x2 + 5 –
4x + 5 –
4x2 + 5 +
4x + 5 +

Answers

Answer:

4x2 + 5 +

Step-by-step explanation:

please mark me brainliest please

Answer:

The second answer choice is correct.

Step-by-step explanation:

4x + 5 + 13/x+5 (This is correct on edge.)

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