an electronics warehouse ships televisions and DVD players in certain combinations to retailers throughout the country. The weight of 4 Televisions and 6 DVD players is 70 pounds, and the weight of 2 televisions and 5 DVD players is 37 pounds. Let represent the amount of pounds per TV and represent the amount of pounds per DVD. How much did each television and DVD player weigh?

Answers

Answer 1

Answer:

d = 1

t = 16

Step-by-step explanation:

Television = t

DVD = d

4t + 6d = 70

2t + 5d = 37

2t + 5d = 37

2t = 37 - 5d

2t/2 = 37/2 - 5d/2

t = 18.5 - 5/2d

4t + 6d = 70

4(18.5 - 5/2d) + 6d = 70

74 - 10d + 6d = 70

-4d = -74 + 70

-4d = -4

-4d/-4 = -4/-4

d = 1

2t + 5d = 37

2t + 5(1) = 37

2t + 5 = 37

2t = 37 - 5

2t = 32

2t/2 = 32/2

t = 16

Check: d = 1; t = 16

4t + 6d = 70

4(16) + 6(1) = 70

64 + 6 = 70

70 = 70

2t + 5d = 37

2(16) + 5(1) = 37

32 + 5 = 37

37 = 37


Related Questions

convert y = -2x +5 to point slope form

Answers

Answer:

Converting y = -2x +5 to point-slope form will be:

[tex]y - 5 = -2(x-0)[/tex]

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

y = mx+b

where

m is the slopeb is the y-intercept

Given the equation

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

comparing with the  slope-intercept form

Slope of the line = m = -2

The y-intercept b = 5

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

Thus, the ordered pair or point representing the y-intercept will be:

(0, 5)

Now, we have

The slope = m = -2The point = (0, 5)

Now, using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

m is the slope of the line(x₁, y₁) is the point

substituting the values m = -2 and the point (x₁, y₁) = (0, 5)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - 5 = -2(x-0)[/tex]

Therefore, converting y = -2x +5 to point-slope form will be:

[tex]y - 5 = -2(x-0)[/tex]

write the rate as a unit rate of 120 and 15

Answers

A unit rate is basically a fraction with 1 as its denominator so first thing you would do is make the two numbers 120 and 15 into a fraction which is 120/15 then simplify that and you should get 24/1 so the answer is 24/1 I hope that helps

in algebra class with 30 students kids were put in groups of 4 if 2 students were left over how many groups of 4 students will there be

Answers

Answer:

7 groups of 4.

Step-by-step explanation:

hope this helps!

Can anyone please help me on this question I’m kinda stuck.

Answers

Answer:

They are the same

Step-by-step explanation:

The degree is basically all of the exponents added up. So:

A) 2+4 = 6

B) 2+3+1 = 6

(since x to the power of 1 is x)

So, they are the same

How far would you travel if you drove 60 miles per hour for 3 hours?

please help i dont wanna fail my dad is making it hard already and my dinner is almost done...

Answers

Answer:

Without stopping?  180 miles

Step-by-step explanation:

The diagram at right is the floor plan of Randy's apartment. All measurements are in feet. Use the diagram to answer the following questions.

Answers

Answer:

length 70 and width 35

Step-by-step explanation:

The dimensions (length and width) of Randy's living room are,

10 by 15 feet.

What is the rectangular shape?

Quadrilaterals with parallel sides that are equal to one another and four equal vertices are known as rectangles.

The given diagram is the floor plan of Randy's apartment.

All measurements are in feet.

From the diagram:

The dimensions (length and width) of Randy's living room are,

10 by 15 feet.

Therefore, the dimensions are 10 by 15 feet.

To learn more about the rectangular;

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Samantha has the equation x^3+2x^2+x=x^3-x. explain how she can find the solution of the equation then solve the equation.

Answers

Answer:

x =+-1

Step-by-step explanation:

x^3+2x^2+x=x^3-x

(x^3-2x^2)-(x-2)=x(x^2-1)

x^2(x-2)-(x-2)=x(x^2-1)

(X^2-1)(x-2)=x(x^2-1)

(x+1)(x-1)(x-2)=x(x-1)(x+1)

(x+1)(x-1) ((x-2)-x)=0

-2(x+1)(x-1)=0

x =+-1

Please can anyone help?

Answers

Answer:

coefficient

Step-by-step explanation:

Answer:

Coefficient

Step-by-step explanation:

Is the product of 41/32 and 12/46 greater than, less than or equal to 12/6?

Answers

Question:

Is the product of 41/32 and 12/46 greater than, less than or equal to 12/6?

Solution:Step 1: Find the product of 41/32 and 12/46.

[tex] \frac{41}{32} \times \frac{12}{46} [/tex]

[tex] = \frac{41}{8} \times \frac{3}{46} [/tex]

[tex] = \frac{123}{368} [/tex]

Step 2: Compare.

[tex]123 \times 6 = 738[/tex]

[tex]368 \times 12 = 4416[/tex]

[tex]738 < 4416[/tex]

[tex] \frac{123}{368} < \frac{12}{6} [/tex]

Answer:

less than

#CarryOnLearning

Solve for x: x — 10 = 3х – 12

Answers

Answer:

x=1

Step-by-step explanation:

Step 1: Subtract 3x from both sides.

x−10−3x=3x−12−3x

−2x−10=−12

Step 2: Add 10 to both sides.

−2x−10+10=−12+10

−2x=−2

Step 3: Divide both sides by -2.

−2x/−2 = −2/−2

x = 1

Last year George sold $82 worth of vanishing potion. This year he sold $118 of it. What percent of last year's sales is this year's sales?

Answers

Answer:

70%

Step-by-step explanation:

Given data

Last years worth of vanishing potion= $82

This years worth of vanishing portion= $118

Note: Another way of asking this question is "what percent of $82 is $118"

So

=82/118*100

=0.69*100

=69%

=70% approx

Hence last years sale is 70% of this year's sales

Derrick's Dog Sitting and Darlene's Dog Sitting are competing for new business. Derrick's Dog Sitting
charges $10 plus $9 per hour. Darlene's Dog Sitting charges $18 plus $7 per hour?

Answers

Answer

The cheaper dog sitter is Derrick's.

Step-by-step explanation:

You did not really ask a question here but i am assuming that your asking who is the cheaper route.

The rate of people entering a safari tour is modeled by the equation p(t) = 200e ^ (- t) for the first 5 hoursEstimate the population density on a 2.000 km ^ 2 animal reserve for t = 2 to t = 4usir using the midpoint sum approximation with 6 subintervals . Round to the nearest person .

Answers

Answer:23

Step-by-step explanation:

Please figure it out
I would give brainlest if your correct

Answers

Answer:

12n

Step-by-step explanation:

just have to cross multiply and then divides thats all

Find the value of c. Give the answer in simplest radical form.

Answers

Answer:

x = 2[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + (2[tex]\sqrt{2}[/tex] )² = 4²

x² + 8 = 16 ( subtract 8 from both sides )

x² = 8 ( take the square root of both sides )

x = [tex]\sqrt{8}[/tex] = 2[tex]\sqrt{2}[/tex]

answer correctly for brainliest +10 points

Answers

Answer:

D. - 2/3 MARK ME BRAINLIEST!!!!!!!!

Step-by-step explanation:

Susan bought 12 ounces of candy. How many grams did she buy?

Answers

Answer: 340.2

Step-by-step explanation:

Help me plz.................

Answers

Answer:

x = 7.5

Step-by-step explanation:

Given that the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{9}{x}[/tex] = [tex]\frac{6}{5}[/tex] ( cross- multiply )

6x = 45 ( divide both sides by 6 )

x = 7.5

Given m|n, find the value of x.
t
(7x+3)
m
(8x+1)°

Answers

86.56 so we can do 6(x.3) by .(57)2

Answer:

86.56 so we can do 6(x.3) by .(57)2

Step-by-step explanation:

Select the correct answer.
Simplify the expression so there is only one positive power for each base.

Answers

i’m pretty sure it’s c but if i’m wrong i’m sorry

Answer:

A. is the correct answer

Step-by-step explanation:

got it correct on the unit test

2)
A car dealer is parking five new cars at his dealership.
Which of the following methods should be used to count the number of
possible ways to pick two cars to put in the showroom?
permutations
A)
combinations
B)
C) neither permutations nor combinations

Answers

Answer:

The method we could use is Combinations

Option B is correct option.

Step-by-step explanation:

We are given:

A car dealer is parking five new cars at his dealership.  Which of the following methods should be used to count the number of  possible ways to pick two cars to put in the showroom?

A)  permutations

B)  combinations

C) neither permutations nor combinations

First let us see, what is permutation and combinations.

Permutation

A permutation is defined as arranging the objects or numbers in a specific order.

Combinations

Combinations are defined as selecting the objects or numbers from a group  in such a way that the order of the objects is not important.

So, in the given question, we need to pick 2 cars and order of the cars is not important, so we can say that we could use Combinations

Option B is correct option.

PLEASE HELP AS SOON AS POSSIBLE!!!!WILL GIVE BRAINLY TO CORRECT ANSWER!!!!

Answers

Answer:

The correct option which best describes this method is:

Find half of 24 to calculate the radius. Then square the radius and multiply the result by [tex]\pi[/tex]

Option D is correct option.

Step-by-step explanation:

The circumference of table top = 24 [tex]\pi[/tex] inches

We need to find area of table top

The formula used to find area is: [tex]Area = \pi r^2[/tex]

We need to find radius of tabletop.

The formula used to find circumference is: [tex]Circumference = 2\pi r[/tex]

Putting value of circumference we can find radius

[tex]Circumference = 2\pi r\\24\pi =2\pi r\\r=\frac{24\pi}{2\pi}\\r=12[/tex]

So, radius of table top = 12

Now, finding the area:

[tex]Area = \pi r^2\\Area=\pi(12)^2\\Area=3.14(144)\\Area=452.16\:inches^2[/tex]

So, the correct option which best describes this method is:

Find half of 24 to calculate the radius. Then square the radius and multiply the result by [tex]\pi[/tex]

Option D is correct option.

solve for x
4х + 2 = 3х - 7

Answers

X=-9 is the answer!!!!
4x + 2 = 3x - 7
- 2 - 2
4x = 3x - 9
- 3x
X = -9

Write an equation in slope-intercept form of the line with slope −4/5 that contains the point (−5,−4)

.

y=−45x−5

y=−4/5x−8

y=−4/5x−4

y=−4/5x+4

Answers

Our point is (-5, -4)

Now use point slope form to find the equation: (y - y1) = m(x - x1)

(y - y1) = m(x - x1)

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

y + 4 = -4/5x +4

An equation in slope-intercept form of the line is y = -4/5x - 8. The correct option is B.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the slope −4/5 contains the point (−5,−4). The equation of the line is written as,

y = mx + c

-4 = -4/5 x - 5 + c

-4 = 4 + c

c = -8

The equation will be written as,

y = -4/5x - 8

To know more about an equation of the line follow

To know more about an equation of the line follow

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(3x^2-2x+2)(3x^2+2x-4)

Answers

Answer:

9x^4 - 6x^3 + 4x - 4

Step-by-step explanation:

I got this answer but I don't know if I am correct. That's what i understood based off what you wrote.

what's 1/4 x 1/3 please

Answers

Answer:1/12

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

Write -9.54 as a fraction in simplest form

Answers

Answer:

[tex]-9 \frac{27}{50}[/tex]

Step-by-step explanation:

What are the vertical and horizontal asymptotes for the function f (x) =[tex]\frac{x^{2}+x-6 }{x^{3}-1}[/tex]

A. vertical asymptote: x = 1

horizontal asymptote: none

B. vertical asymptote: x = 1

horizontal asymptote: y = 0

C. vertical asymptote: x = –2, x = 3

horizontal asymptote: y = 0

D. vertical asymptote: x = –2, x = –3

horizontal asymptote: none

Answers

Answer:

B. vertical asymptote: x = 1

horizontal asymptote: y = 0

Step-by-step explanation:

1) Vertical asymptotes of a function are determined by what input of x makes the denominator equal 0. So, let's set the denominator, [tex]x^3-1[/tex], equal to 0 and solve for x:

[tex]x^3-1= 0\\x^3 = 1\\\sqrt[3]{x^3} = \sqrt[3]{1} \\x = 1[/tex]

Thus, the vertical asymptote is x = 1.

2) If the degree of the polynomial in the denominator is greater than the one on the top, the horizontal asymptote is automatically y = 0. Thus, the horizontal asymptote is y = 0.

Answer:

B. x=1, y=0

Step-by-step explanation:

Vertical asymptote: denominator approximate 0

(x²+x-6)/(x³-1)   ---> ±∞           as x ---> 1

x³-1 = 0

x³ = 1

x = ∛1 = 1

Horizontal asymptote: If the degree of the numerator is less than the degree of the denominator, then the horizontal asymptote is always the x axis, i.e. the line y = 0

degree of the numerator: 2

degree of the denominator: 3

2<3

Horizontal asymptote: y = 0

Do i add or multiply?

Answers

Answer:multiply

Step-by-step explanation: How volume works is you multiply width times height times width. In perimeter you do the same but since in perimeter the shape is 2d you only have to multiply the base times height..........

A box of cereal advertises that it now has 250% as many raisins as the old package had. If the old package had 2 cups of raisins, how many cups of raisins are in the new box?
A. 3
B.. 5
C. 6
D. 8

Answers

answer: B.5

i got the answers from the test

Answer:

b5

Step-by-step explanation:

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