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svetoff [14.1K]
3 years ago
5

The daily production goal for the assembly team is 1000 units. They achieved 87% of their goal today. How many units did the ass

embly team build?
Mathematics
1 answer:
mamaluj [8]3 years ago
6 0
They assembled 870 units
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Need help with this math problem
Shkiper50 [21]

In the figure, Blueline is Line AB and Redline is target line.

You can see that the target line does not pass through (18,-8)

Step-by-step explanation:

In the figure, Blueline is Line AB and Redline is target line.

You can see that the target line does not pass through (18,-8)

Taking a bottom-left corner of the graph as (0,0)

Given Line AB,

Point A is located as (4,9)

Point B is located as (16,1)

The slope of AB is

=\frac{Y1-Y2}{X1-X2}

=\frac{9-1}{4-16}

=\frac{8}{-12}

=\frac{-2}{3}

The question says "  Draw a line passes through C(13,12) and parallel to Line AB "

Now, Let the equation of the target line is y=mx + c

Where m=slope and c is the y-intercept

The target line is parallel to the line AB

The slope of the Target line = The slope of the Line AB =\frac{-2}{3}

m==\frac{-2}{3}

We can write, the equation of the target line is

y=\frac{-2}{3}x + c

Also, the Target line is passing through C(13,12)

Point C satisfies the equation

y=\frac{-2}{3}x + c

12=\frac{-2}{3}13 + c

12=\frac{-26}{3} + c

12+\frac{26}{3}=c

c= 12+\frac{26}{3}

c= \frac{62}{3}

Replacing the value

the equation of the target line is

y=\frac{-2}{3}x + c

y=\frac{-2}{3}x +  \frac{62}{3}

3y= -2x + 62

It is also asked that if a line is extended , would it passes through the (18,-8)?

If a line passes through the point (18-,8) then, that point must satisfy the equation of a line

the equation of the target line is  3y= -2x + 62

3(-8)= -2(18) + 62

(-24)= (-36) + 62

(-24)= (-36) + 62

(-24)= 26

Left land side is not equal to right hand side.

Therefore. a line does not pass through the point (18,-8)

5 0
3 years ago
Barb is going to cover a rectangle area 8 feet by 10 feet with rectangle paving blocks that are 4 inches by 8 inches by 2 inches
soldier1979 [14.2K]

Step-by-step explanation:

First, transform 8 feet and 10 feet into inches so we can work with the same measurements

8 * 12 = 96 in

10 * 12 = 120 in

Next find the patio rectangle area.

96 * 120 = 11520 in^2

Now find the paving block area

4 * 8 = 32 in^2

Now, find out how many paving blocks will go into the patio rectangle area.

11520 / 32 = 360

The minimum number is 360 paving blocks

5 0
4 years ago
Real word problem for .75x-18.5=.65x
VashaNatasha [74]
0.75x-18.5-0.65x=0
0.1x-18.5=0
0.1x=18.5 divide each term by 0.1 
x=185
6 0
3 years ago
What is the value of x in the following equation? 2(x-3)+3=6x-5<br> x=2<br> x=-2<br> x=1/2<br> x=4
creativ13 [48]

x=1/2

don't mind the dirty white board lol

6 0
2 years ago
Read 2 more answers
I need help with #29 I really don't understand it (picture included)
Katena32 [7]
4x+4(3)+4(2)=y
4x+20=y
X equals the amount it cost for each ticket which is unknown. Y equals the total cost. Because the amount of the food is provided, it can be calculated unlike the tickets which is just left at 4x. The work for the snacks are upwards. Its mostly substitution.
6 0
3 years ago
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