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KonstantinChe [14]
3 years ago
14

60,000 is ten times as much as

Mathematics
2 answers:
Nana76 [90]3 years ago
4 0
10 times x=60000

x=6000
alekssr [168]3 years ago
3 0
Is ten times as much as 6,000
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A toy company can spend no more than $2,000 on raw materials for plastic trains and metal trains. The raw materials cost $0.80 p
Goryan [66]

Answer:

<em>The gaph is shown in the image below</em>

Step-by-step explanation:

<u>Graph of Inequalities</u>

Let's graph the region of the inequality

0.8m + 0.4p \leq 2,000

Since there is no indication, we'll assume the variable p to be in the horizontal axis and m in the vertical axis. Let's solve for m

\displaystyle m=\frac{2,000-0.4p}{0.8}

Since both m and p are positive, we can assume

2,000-0.4p\geq 0

Or, equivalently

p \leq 5,000

Thus, we can give p any value between 0 and 5,000 to get the corresponding values for m. Let's select the values p=0, p=1,000, p=5,000 to get the points

( 0 ; 2,500 ) ( 1,000 ; 2,000 ) ( 5,000 ; 0 )

With these points we can plot the line representing the function. To know which area must be shaded, we only need to test one point below or above the line. If it fulfills the inequality, then the whole area is shaded.

Let's test the point ( 1,000 ; 1,000 )

0.8\cdot 1,000 + 0.4\cdot 1,000 \leq 2,000

1,200 \leq 2,000

Since the condition is met, the area below the line must be shaded as the solution of the inequality

The gaph is shown in the image below

6 0
3 years ago
In square ABCD, diagonals AC and DB intersect at point E, m∠EBC=(3x+9y)°, and m∠EAB=(5x+5y)°.
telo118 [61]

Answer:

Step-by-step explanation:

m∠EBC = 45°

3x + 9y = 45

Divide the entire equation by 3

x + 3y = 15 --------------------(I)

m∠EAB = 45

5x + 5y = 45

Divide the entire equation by 5

x +y = 9 -------------(II)

Multiply equation (II) by (-1)

(I)             x + 3y = 15

(II)*(-1)    <u> - x -  y   = -9</u>   {Now add}

                   2y   = 6

                     y = 6/2

                     y = 3

Plugin y = 3 in equation (I)

x + 3*3 = 15

x + 9 = 15

x = 15 - 9

x = 6

6 0
2 years ago
The points (2, r) and (6, -4) lie on a line with slope 4. Find the missing coordinate r<br> R=
Rus_ich [418]
\text{The slope-intercept form:}\ y=mx+b\\\\\text{We have:}\ m=4\\\\\text{then}\ y=4x+b\\\\\text{The line passes through point (6; -4). Substitute:}\\\\(6;-4)\to x=6;\ y=-4\\\\-4=4\cdot6+b\\-4=24+b\ \ \ |-24\\b=-28\\\\\text{therefore:}\ y=4x-28
\text{substitute}\ (2;\ r)\to x=2;\ y=r\\\\r=4\cdot2-28=8-28=-20

Answer: r = -20
7 0
4 years ago
A water balloon is dropped from a height of 16 feet. The function h=-16x^2+16 gives the height h of the balloon after x seconds.
Lerok [7]

Answer:

The ballon will hit the ground after 1 s.

Step-by-step explanation:

In this case we want to solve for x, but were given a equation to the height of the ballon, we can organize it in a way that isolates x on the left side of the equation so it can be used to what we want. So we have:

h = -16x^2 +16

h + 16x^2 = 16

16x^2 = 16 - h

x^2 = (16 - h)/16

x = sqrt(16 - h)/sqrt(16) = sqrt(16 - h)/4

When the ballon hits the ground it's height is 0 feet, so we substitute that on our equation and we'll have the right answer.

x = sqrt(16 - 0)/4 = sqrt(16)/4 = 4/4 = 1 s

6 0
3 years ago
The table shows weights for different US coins. Allen has one of each coin in his hand.
kozerog [31]
Round each coin weight to the nearest gram first, penny 3g, nickel 5g, dime 2g, quarter 6g, half dollar 11g. Now add those numbers together as he has one of each coin 3+5+2+6+11=27 grams



6 0
3 years ago
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