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2 years ago

A store sells toys in bulk. It sells wooden blocks for $5 a pound and plastic bricks for $10

Mathematics

1 answer:

Veseljchak [2.6K]2 years ago

5 0

9514 1404 393

Answer:

6 # plastic bricks
4 # wooden blocks

Step-by-step explanation:

Let p represent the number of pounds of plastic bricks in the mix. Then the number of pounds of wooden blocks is (10-p), and the total cost is ...

10p +5(10-p) = 80

5p = 30 . . . . . . . . . subtract 50

p = 6 . . . . divide by 5; there are 6 pounds of plastic bricks in the mix

4 pounds of wooden blocks and 6 pounds of plastic bricks should be used to make a 10-lb mix worth $80.

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Tammy has 4 times as many books as Willy . Willy has 180 fewer books than Tammy . How many books does Willy have ?

enyata [817]

Answer:

60 books

Step-by-step explanation:

let the number of books Willy has be x , then

Tammy has 4x books

Willy has 180 fewer books , that is Tammy has 180 more than Willy , so

4x = x + 180 ( subtract x from both sides )

3x = 180 ( divide both sides by 3 )

x = 60

Thus

Willy has 60 books andTammy has 4 × 60 = 240 books

which is 180 more than Willy

7 0

1 year ago

A projectile is launched from the ground at an angle of theta above the horizontal with an initial speed of v in ft/s. The rang

VARVARA [1.3K]

Answer:

$\theta=24.4^\circ$

Step-by-step explanation:

The formula you wrote has the fraction the other way around. You can find that the range of a projectile is in reality approximated by the equation $x=\frac{v^2}{g} sin(2\theta)=\frac{v^2}{32ft/s^2} sin(2\theta)$ , where we will use ft for distances.

From the given equation we have then $\frac{x32ft/s^2}{v^2} =sin(2\theta)$ , which means $\theta=\frac{Arcsin(\frac{x32ft/s^2}{v^2})}{2}$ since the arcsin is the inverse function of the sin.

Since we have x = 170 ft and v = 85 ft/s, we can substitute these values from the equation written, and we will have $\theta=\frac{Arcsin(\frac{(170ft)(32ft/s^2)}{(85ft/s)^2})}{2}$ , and from now on we have just to use a calculator, obtaining $\theta=\frac{Arcsin(0.75294117647)}{2}=\frac{48.84579804^\circ}{2}=24.4^\circ$

3 0

2 years ago

A company buys computers and printers. Each computer costs $550 and each printer costs $390. If the company spends $8160 and buy

maxonik [38]

Answer:the company bought 12 computers and 4 printers.

Step-by-step explanation:

Let x represent the number of computers that the company bought.

Let y represent the number of printers that the company bought.

The company buys a total of 16 machines. It means that

x + y = 16

Each computer costs $550 and each printer costs $390. If the company spends $8160 for all the computers and printers that was bought, it means that

550x + 390y = 8160 - - - - - - - - - - 1

Substituting x = 16 - y into equation 1, it becomes

550(16 - y) + 390y = 8160

8800 - 550y + 390y = 8160

- 550y + 390y = 8160 - 8800

- 160y = - 640

y = - 640/ - 160

y = 4

Substituting y = 4 into x = 16 - y, it becomes

x = 16 - 4

x = 12

6 0

2 years ago

Jack charges $40 initial fee plus $30 an hour to work on vehicles. Mark charges $25 an hour with a $50 initial fee. to work on v

Nostrana [21]

Answer:

Step-by-step explanation:

Let the equal number of hours be represented by variable H;

The two equations will be as follows;

Jack; 40 +30H

Mark; 50 +25H

Next, equate them;

40 + 30H = 50 + 25H

30H - 25H = 50 - 40

5H = 10

H =10/5

H = 2hrs

Therefore, they charge the same amount at 2 hrs.

B.) The amount charged;

Replace the variable H in any of the two equations above with 2 to solve for the amount.

Equation 40+30H = 40 + (30*2)

=40 + 60

= $100

4 0

2 years ago

Please help with part b on ex 3&4

BartSMP [9]

Answer

Ex 3) - b

(-2, 19) (1,4)

Ex 4) -b

(1, 3) (3, 5)

8 0

2 years ago