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tresset_1 [31]
2 years ago
13

In a paint factory, an old conveyer line has filled 50 barrels of paint, and is filling more at a rate of 2 barrels per minute.

A worker just switched on a newer line that can fill 12 barrels per minute. In a little while, the two lines will have filled an equal number of barrels. How many barrels will each line have filled?
Mathematics
1 answer:
bezimeni [28]2 years ago
4 0

Answer:

60 barrels

Step-by-step explanation:

y = # of barrels; x = minutes

worker: y = 12x

old line: y = 2x + 50

12x = 2x + 50

10x = 50

x = 5

y = 12(5) = 60

y = 2(5) + 50 = 60

60 barrels

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19. 140% of 60<br> find the percent of the number. Explain your method
KonstantinChe [14]

Answer:

84

Step-by-step explanation:

is                    x           140

----   SO ...    -------  =  --------

of                  60         100

(hit like pls)

60*140=100x

8400=100x

/100     /100

-------------------

   84 = x

8 0
2 years ago
Find the surface area of the composite figure. 6cm 5 cm 20cm 4cm 12cm 6cm​
Crazy boy [7]

Answer:

644 cm²

Step-by-step explanation:

Surface area of the composite figure = surface area of the large rectangular prism + surface area of the small rectangular prism - 2(area of the surface of the small rectangular prism that joins the larger prism)

✔️Surface area of the large rectangular prism = 2(LW + LH + WH)

L = 6 cm

W = 5 cm

H = 20 cm

Surface area = 2(6*5 + 6*20 + 5*20)

= 500 cm²

✔️Surface area of the small rectangular prism = 2(LW + LH + WH)

L = 6 cm

W = 4 cm

H = 12 cm

Surface area = 2(6*4 + 6*12 + 4*12)

= 288 cm²

✔️area of the surface of the small rectangular prism that joins the larger prism = L*W

L = 12 cm

W = 6 cm

Area = 12*6

= 72 cm²

✅Surface area of the composite figure = 500 + 288 - 2(72)

= 644 cm²

7 0
3 years ago
A regular hexagonal prism has a volume of 160 cubic meters. Its base has a perimeter of 30 meters and an area of 64 square meter
valkas [14]
We know that

[volume of a <span>regular hexagonal prism]=[area of the base]*height
height=volume/area of the base
h=160/64-----> 2.5 m

[surface area </span><span>hexagonal prism]=2*[area of the base]+[perimeter of base]*h
</span>[surface area hexagonal prism]=2*[64]+[30]*2.5----> 203 m²

the answer is
203 m²
5 0
3 years ago
Which expression represents the product of negative three-fourths x and –8x?
den301095 [7]

Answer:

6x²

Step-by-step explanation:

-\frac{3}{4} x\times \left( -8x\right)  =\frac{3}{4} x\times 8x

                     =\frac{3}{4} \times 8\times x\times x          

                     =\frac{24}{4} \times x^{2}

                     =6x^2

7 0
2 years ago
510
Hoochie [10]

Answer:

$574.41

Step-by-step explanation:

multiply 30 by dollar to pesos

6 0
3 years ago
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