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Olenka [21]
2 years ago
15

A washer and a dryer cost $572 combined. The washer cost $78 less than the dryer. What is the cost of the dryer?

Mathematics
1 answer:
Anni [7]2 years ago
4 0

Answer:

$325

Step-by-step explanation:

Let the dryer price be x, then the washer price would be x-78

x+x-78 = 572

2x = 650

x = 325

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Given that 8 bolts and 6 nuts weigh 138grams and 3 bolts and 5 nuts weigh 71 grams. Find the weight of;(a)one bolt and one nut (
Viktor [21]

Answer:

(a) Weight of a bolt = 12 grms and weight of a nut is 7 gms. Weight of one bolt and one nut = 12 + 7 = 19 gms

(b) 69 gms

(c) 209 gms

Step-by-step explanation:

This problem relates to solution of 2 unknowns using simultaneous equations.

Let B be the weight of a single bolt and N be the weight of a single nut

Since 8 bolts and 6 nuts weigh 138 grams we get one of the equations as

8B + 6N = 138    (1)

The second equation in the unknowns is

3B + 5N = 71  (2)

To solve, we eliminate one of the unknowns by making its coefficients the same and subtracting one from the other

Multiplying (1) by 5 ===>   40B + 30N = 690   (3)

Multiplying (2) by 6 ===>  18B + 30N = 426    (4)

(3) - (4) eliminates the N variables and yields

22B = 264   ==> B = 264/22 ==> B = 12

So the weight of a single bolt is 12 grams

We can find the weight of a single nut by substituting this value of B into any of the equations (1), (2), (3) or (4) and solving for N. Let's use equation (2)

3(12) + 5N = 71 ==>  36 + 5N = 71 ==> 5N = 71-36 = 35 ==>  N= 7

So the weight of a single nut is 7 grams

Weight of one bolt and one nut is the sum of the above individual weights = 12 + 7 = 19 gms

To solve (b) and (c) we could set up two other equations and plug in values for B and N

(b) 4B + 3N = 4.12 + 3.7 = 69
However, an alternate way is to perceive that 4B + 3N is exactly half of 8B + 6N so the value of that must be 138/2 = 69

(c) If we add both equations (1) and (2), we get

11B + 11N = 138 + 71 = 209 which is the equation for the total weight of 11 bolts and 11 nuts

5 0
1 year ago
the formula for calculating speed is DISTANCE divided by TIME equals SPEED (d/t=s). This is called an object's?
Daniel [21]

Answer:

speed

Step-by-step explanation:

it's literally stated in the question

8 0
2 years ago
Renting a canoe costs $5.00 per hour for each adult and $2.50 per hour for each child. One adult and two children decide to rent
s344n2d4d5 [400]

Answer:

The equation is equal to c=10t

Step-by-step explanation:

Let

c-----> the cost in dollars

t----> the time in hours

we know that

One adult and two children

c=(1)5t+(2)2.5t\\ \\c=5t+5t\\ \\c=10t

3 0
2 years ago
The measure of ADB is 162 . what is the measure of EAB?
Xelga [282]
An angle formed by a chord and a tangent line is half the measure of the intercepted arc.

 The intercepted arc is ADB, which is given as 162 degrees.

Angle EAB = 1/2 of 162

The answer is 81 degrees.

6 0
3 years ago
Read 2 more answers
What is the slope of the line shown below?
Ratling [72]

Answer:

slope: 1/6

Step-by-step explanation:

you can use the equation y2 - y1 /x2 - x1 to solve this

(-6,3) (12,6)

6 - 3 = 3

12 - - 6 = 12 + 6 = 18

3/18 = 1/6

I hope this helped you ;)

3 0
2 years ago
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