Three watches and five lamps cost $176 in all. Five watches and three lamps cost $208 in all. What is the cost of one lamp?

Answers

Answer 1

$200/5 lamps= $40 per lamp

Final answer: $40

Answer 2

Using the elimination principle, the cost of one lamp is $16

Let :

watches = a Lamps = b

3a + 5b = 176 - - - - (1)

5a + 3b = 208 - - - (2)

Multiply (1) by 5 and (2) by 3

15a + 25b = 880 - - - - (3)

15a + 9b = 624 - - - - - (4)

Subtract (3) and (4)

16b = 256

b = (256 ÷ 16)

b = $16

Therefore, the cost of one lamp is $16

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Related Questions

I need help ASAP PLEASE SOLVE

Answers

Answer:

the second one has the grater y nter...

Step-by-step explanation:

If you make a copy of a puzzle peice using a scale factor of 0.2 will the copy be larger smaller or the same size

Answers

Answer:

sMaLlEr (not sure so sorry please don't hate me dude or dudett

Rewrite the expression using an exponent 9x9x9=

Answers

Answer:

9³ or 9^3

Step-by-step explanation:

Exponents pertains to how many times you multiply the base number to itself.

So for this, 9 is being multiplied 3 times to itself, thus it is 9 cubed or 9 raised to the power of three.

Answer:

9 to the 3rd power:)

Step-by-step explanation:

Michael has a credit card with an APR of 15.33%. It computes finance charges using the daily balance method and a 30-day billing cycle. On April 1st, Michael had a balance of $822.05. Sometime in April, he made a purchase of $77.19. This was the only purchase he made on this card in April, and he made no payments. If Michael’s finance charge for April was $10.71, on which day did he make the purchase?

a. April 5th

b. April 10th

c. April 15th

d. April 20th

ANSWER IS: d. April 20th

Answers

Answer:

yes D is the correct answer

please keeps as Brainly list

d. april 20th on edge2021

A car can travel 64 mlles in two hours, 128 miles in four hours, and 192 mlles In six hours. What is the constant rate of change?​

Answers

Answer:

1 hour/ 32 miles

Step-by-step explanation:

the set below only contains which types of numbers {-1,5,1/2,15,3.75,36,square root 81,100 are they irrational numbers rational integers or natural numbers

Answers

The set can be classified as both rational integers and irrational numbers,

Meaning of rational and irrational numbers

Rational numbers are numbers that can be expressed as a division of two integers. They are definite, they include all integers.

Irrational numbers are numbers that are no definite, they have no end.

In the question every other number is a rational number except for square root 81,100  which is an irrational number.

In conclusion, The set can be classified as both rational integers and irrational numbers.

Learn more about Rational numbers: https://brainly.com/question/1949413

#SPJ2

How many groups of 2/3 are in 3/5

Answers

Answer:

There are 9/10 groups of 2/3 in 3/5.

Step-by-step explanation:

Divide 3/5 by 2/3

What expression is 8/12 eual to?

Answers

Answer:

8/12 = 2/3

Step-by-step explanation:

Find the midpoint of the segment with the following endpoints.
(8,9) and (4,3)

Answers

Answer:

The midpoint of the segment is (6,6).

Step-by-step explanation:

To solve this problem, we are going to use the midpoint formula, which is shown below:

( (x1+x2)/2, (y1+y2)/2 )

If we plug in the values that we are given in the question, we get:

( (8+4)/2, (9+3)/2)

We should add together the two numbers in the numerator of each fraction to begin the simplification process:

(12/2, 12/2)

Now, we can perform the division to find our final answer.

(6,6)

Therefore, the correct answer is (6,6).

Hope this helps!

Determine if the two triangles are congruent. If they are, state how you know.

Answers

Answer:

SAS

Step-by-step explanation:

It tells you that there are two sides equal, and they both have a 90 degree angle. This means that they are congruent because of side, angle, side, or SAS.

Hope this is helpful!!

they are congruent , one is just turned a little

A cube-shaped box has a volume of 64 cubic inches. If the box is packed full of cubes with edge lengths of 1 inch, how many cubes can fit along one side of the box?

Answers

Answer:

B)

-cube root of 64 to find the length of the cube shaped box

-length of cube shaped box is 4 inches

-So 4 divided by 1 to find how many cubes can fit

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

For each model below write the portion of the grid that is shaded as a percent and as a fraction. EXPLAIN.

Answers

Answer:

Just find the area of each shape .fir the first triangle it will be (0.5 x6 x6) so the answer is 18 . So the shaded part is 18 out of 100 or 18% . And so on for the trapezoid and the combined figure of square and triangle together

Step-by-step explanation:

Abbys mother is making treat bags for the 30 students in abbys class. She purchased bags at 5 for 1 candy bars at 10 for 0.50 and whistles at 3 for 0.75. If she puts 1 candy bar and 1 whistle I’m each bag how much will Abbys mother spend not including tax?

Answers

Answer:

Abby's mother spent $9.75 for the classroom not including tax.

Step-by-step explanation:

Know:

5 bags for 1 dollar

10 candy bars for 50 cents

3 whistles for 75 cents

5×6=30

10×3=30

3×10=30

5 times 6 is thirty. So find the product of 6 and 1 which is 6. 6 is the overall cost of bags.10 times 3 is 30. So find the product of 3 and .50 which is 1.50. 1.50 dollars is the overall cost of candy bars.3 times 10 is 30. You then find the product of 3 and .75. The product of this is 2.25 which is the total cost of whistles.Next you add all the values together which are 6.00 + 1.50 + 2.25 this equals $9.75

Place each number in its correct location on the numberline.

Answers

Answer:

Step-by-step explanation:

-8.5

-|4.5|

-3.5

-1.5

|-3.5|

4.5

|5.5|

Please help
Write the equation of the line on the graph

Answers

Answer:

y = 3x

Step-by-step explanation:

There is a dot at (1,3)

The line also goes through (0,0)

The equation is of the form y = mx

b the y intercept is 0.

All we need to do is solve for m

when x = 1, y = 3

3 = m * 1

m = 3

Answer: y = 3x

Math help guys please

Answers

Answer:

- 4 / 9

Step-by-step explanation:

..........................

Help only right answers get brainliest!

Answers

Answer:

Rise over run y over x

Step-by-step explanation:

-7 divided by -2

5 divided by 3

These will get you the slope

16 cm
12 cm
radius of cylinder = 5 cm
radius of cone = 4 cm
A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed inside the cylinder
as shown, what is the volume of the alr space surrounding the cone inside the cylinder? (Use 3.14 as an approximation of pl'.)

Answers

The answer is 920.07cm^3 !

Which one would the equation be?

Answers

Answer:

a. [tex] y = \frac{2}{5}x - 6 [/tex]

Step-by-step explanation:

The slope-intercept form of equation of a line is given as [tex] y = mx + b [/tex]. Where,

m = slope

b = y-intercept.

Rewrite the equations, [tex] 2x - 5y = 12 [/tex] and [tex] 4y + 24 = 5x [/tex], in the slope-intercept form by making y the subject of the formula. Then, derive our new equation that has the same slope as the first equation, and the same y-intercept as the second equation.

[tex] 2x - 5y = 12 [/tex]

[tex] 2x - 12 = 5y [/tex]

Divide both sides by 5

[tex] \frac{2x - 12}{5} = \frac{5y}{5} [/tex]

[tex] \frac{2x}{5} - \frac{12}{5} = y [/tex]

Rewrite

[tex] y = \frac{2x}{5} - \frac{12}{5} [/tex]

The slope of [tex] 2x - 5y = 12 [/tex] is ⅖.

[tex] 4y + 24 = 5x [/tex]

[tex] 4y = 5x - 24 [/tex] (subtraction property of equality)

Divide both sides by 4

[tex] \frac{4y}{4} = \frac{5x - 24}{4} [/tex]

[tex] y = \frac{5x}{4} - \frac{24}{4} [/tex]

[tex] y = \frac{5x}{4} - 6 [/tex]

The y-intercet of [tex] 4y + 24 = 5x [/tex] is -6

Therefore, the equation that has the same slope as the first equation and the same y-intercept as the second equation would be:

[tex] y = mx + b [/tex]

Plug in the values of m and b

[tex] y = \frac{2}{5}x + (-6) [/tex]

[tex] y = \frac{2}{5}x - 6 [/tex]

catrina earns $19.32 an hour. If she works a 40 hour each week consistently and takes only 2 weeks off for vacation in a year. How much will her annual earnings be?​

Answers

So there’s around 52 weeks per year and she has two weeks off which is gonna mean 50 weeks for her. Since 19.32 times 40 is 772.8 that’s only a week. That times 50 is $38,640 which is basically gonna be her annual earnings.

Answer:

$38,640.00

Step-by-step explanation:

We know that Catrina earns $19.32 an hour. We also know she works 40 hours a week. So first, let's multiply 19.32 by 40 to see how much she makes a week.

19.32 × 40 = 772.80

Because of this, we now know that Catrina makes $772.80 a week. There are 52 weeks in a year. However, since she takes 2 weeks of vacation, we need to take off 2 weeks in the year. This leaves us with 50.

Finally, we multiply 772.80 and 50 to find her annual earnings:

772.80 × 50 = 38640

Therefore, her annual earnings will be $38,640.00.

What is the least common multiple of the numbers 3 16 and 20 

Answers

Answer:

240

Step-by-step explanation:

See photo below

Credit goes to: calculatorsoup.com

A mathematical phrase containing at least one variable.

Answers

An expression is a mathematical phrase containing at least one variable :)

Find the difference. 5wx²-2wx²
a. 3
b 2wx²
c 3wx²
d 4wx²​

Answers

A.3 because if you subtract the values you get 3

Answer:

3x²

Step-by-step explanation:

A 2 gallon container of laundry detergent costs $21.36. What is the price per quart?

Answers

✩ Answer:

 ✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*

  [tex]\bold{Hello!}\\\bold{Your~answer~is~below!}[/tex]

✩ Step-by-step explanation:

 ✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*

✺ Turn your information into a fraction by inputting [tex]21.36[/tex] as the numerator and [tex]2[/tex] as the denominator:

[tex]\frac{21.36}{2}[/tex]

✺ Expand [tex]\frac{21.36}{2}[/tex] by multiplying both numerator and the denominator by [tex]100[/tex]:

[tex]\frac{2136}{200}[/tex]

✺ Reduce the fraction [tex]\frac{2136}{200}[/tex] to lowest terms by canceling out the common factor, [tex]8[/tex]:

[tex]\frac{267}{25}[/tex]

✺ Divide the numerator by the denominator:

[tex]\boxed{\bold{10.68}}[/tex]

[tex]Hope~this~helps~and,\\Best~of~luck!\\\\~~~~~-TotallyNotTrillex[/tex]

             "ටᆼට"

Emily claims that a tree height of 43 inches is an outlier for the distribution. Based on the 1.5x IQR rule for outliers, is there evidence to support the claim?

Answers

Given:

Emily claims that a tree height of 43 inches is an outlier for the distribution.

To find:

Evidence to support the claim if any.

Solution:

The starting and the end of the box in box plot are first and third quartile respectively.

From the given box plot it is clear that, [tex]Q_1=34[/tex] and [tex]Q_3=38[/tex].

[tex]IQR=Q_3-Q_1[/tex]

[tex]IQR=38-34[/tex]

[tex]IQR=4[/tex]

According to 1.5x IQR rule for outliers, all the data values lies outside the interval [tex][Q_1-1.5\times IQR,Q_3+1.5\times IQR][/tex] are outliers.

Now,

[tex]Q_3+1.5\times IQR=38+1.5(4)[/tex]

[tex]Q_3+1.5\times IQR=38+6[/tex]

[tex]Q_3+1.5\times IQR=44[/tex]

We know that, 43<44.

Since, 43 is not greater than [tex]Q_3+1.5\times IQR[/tex], therefore, 43 is not an outlier and there is no evidence to support the claim.

Therefore, the correct option is D.

Find the distance to the nearest tenth,between S(6,5) and T(-3,-4)

Answers

Answer:

The answer is 12.7 units

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

S(6,5) and T(-3,-4)

The distance between them is

[tex] |ST| = \sqrt{ ({6 + 3})^{2} + ({5 + 4})^{2} } \\ = \sqrt{ {9}^{2} + {9}^{2} } \\ = \sqrt{81 + 81} \\ = \sqrt{162} \\ = 9 \sqrt{2} \: \: \\ = 12.7279...[/tex]

We have the final answer as

12.7 units to the nearest tenth

Hope this helps you

Every rope has a safe working load. A rope should not be used to lift a weight greater than its safe working load. The table shows the safe working loads $S$ (in pounds) for ropes with circumference $C$ (in inches). Write an equation for the safe working load for a rope. Find the safe working load for a rope that has a circumference of 10 inches.

Answers

Answer:

the equation is:

f(x) = 180x²

the maximum working load for a 10 inch rope = 180 · 10² = 18,000 pounds

Step-by-step explanation:

the table is missing, so I looked it up:

inches             safe working load

0                             0              

1                            180          

2                           720          

3                          1620        

180 is their common denominator:

0                      0                        0

1                      180                      1

2                     180                      4

3                     180                      9

1, 4, and 9 follow a pattern x²:

0                   0

1                    1

2                   4

3                   9

4                  16

5                  25

6                  36

7                  49

8                  64

9                  81

10                100

There are 14 girls and 12 boys in a class what is the ratio of girls to students

Answers

Answer:

14:26

Step-by-step explanation:

Because there is 14 girls and in all as students there is 26 of them.

The total number of students are 26, so the ratio of girl to total student is 14:26, you can simplify that to 7:13

sixteen percent of people spend more than what amount of time watching TV shows on this streaming service

Answers

Answer:

56 minutes

Step-by-step explanation:

https://quizlet.com/530747948/statistics-unit-2-the-normal-distribution-test-review-flash-cards/

3. In the same opera theater personal balcony sections with three rows of seating are being mapped as well. In
these sections there must be an odd number of seats in each row and each row must have two more seats
than the one before it. The last stipulation is that the front row must have one quarter the total seats in the
back 2 rows combined. How many seats will be in each row?

Answers

Answer:

Number of seats in first row = 2

Number of seats in 2nd row = 4

Number of seats in 3rd row = 6

Step-by-step explanation:

Let's say number of seats in first row is x.

Now we are told that each row must have two more seats

than the one before it.

Thus, the remaining 2 rows have;

(x + 2) and (x + 4) seats respectively.

We are told that that the front row must have one quarter the total seats in the

back 2 rows combined.

Thus;

x = ¼((x + 2) + (x + 4))

Multiply both sides by 4 to give;

4x = x + 2 + x + 4

4x = 2x + 4

4x - 2x = 4

2x = 4

x = 4/2

x = 2

Thus;

Number of seats in first row = x = 2

Number of seats in 2nd row = (x + 2) = 2 + 2 = 4

Number of seats in 3rd row = (x + 4) = 2 + 4 = 6

Answer:

3, 5, and 7

Explanation:

look at photo attached

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