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arsen [322]
2 years ago
10

The sum of two numbers is 23. Twice one number increased by 6 is the same as 4 times the other number decreased by 2. What is th

e largest of the two numbers?
Mathematics
1 answer:
Crank2 years ago
8 0

Answer:

One number is 4.2, the other is 18.8

Step-by-step explanation:

1.)  x+y=23

    (x+6y)x2=4

2.) (x+6y)x2=4   =   2x+12y=4

3.)Use elimination/substitution to solve

     2x+12y=4  =   x+6y=2  =  x=2-6y

     2-6y+y=23

4.)Solve for y

     2-5y=23 -> -5y=21 -> y=4.2.

5.)Solve for x

    x+4.2=23

    x=18.8

I may be wrong so let me know if I am

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One cubic meter of water weighs approximately 2200 pounds. There are 100 cm in one meter. If you have a box-shaped fish tank tha
Diano4ka-milaya [45]

Answer:

158.4 pounds

Step-by-step explanation:

first find the volume of the tank

V = 30 \times 30 \times 80

V = 72000 cm^3

to convert this to m^3 we know that 1m = 100cm

V = 72000 cm^3 \times \left(\dfrac{1\,\text{m}}{100\,\text{cm}}\right)^3

V = 72000 cm^3 \times \left(\dfrac{1\,\text{m}^3}{100^3\,\text{cm}^3}\right)

the cm^3 cancel out.

V = \dfrac{72000}{100^3} m^3

V = 0.072\,m^3

by simply converting the side-lengths to meters beforehand can give you this answer directly:

V = 0.3 \times 0.3 \times 0.8 = 0.072 m^3

it is given that 1 meter cube of water weighs about 2200 pounds.

1\,m^3 = 2200 \,\text{lb}

multiply both sides with 0.072 to find our answer:

1\,m^3 \times 0.072 = 2200 \times 0.072 \,\text{lb}

0.072\,m^3 = 158.4 \,\text{lb}

hence the weight of the water in the tank would be 158.4 pounds!

3 0
3 years ago
Place value of 0 1 4 3 6 9 in 987,164.302
Blizzard [7]
0 is in the hundredths place
1 is in the hundreds place
4 is in the ones place
3 is in the tenths place
6 is in the tens place
9 is in the hundred-thousands place
3 0
3 years ago
Find all the interior angle measures of triangle ABC, if m∠A = 3x + 10, m∠B = 5x − 1, and m∠C = x. answers: m∠A = 60°, m∠B = 94°
tester [92]

Answer:

Step-by-step explanation:

Total interior angles in a triangle=180 degrees

That is: 3x + 10 + 5x - 1 + x =180

9x+9=180

9x=180-9

9x=171

x=171/9

x=19

Therefore

Angle A =67 degrees

Angle B= 94 degrees

Angle C = 19 degrees

3 0
3 years ago
Can someone please help me in this question.
mestny [16]

Answer:

a) 2^{3}

b) 2^{5}

c) 2^{8}

d) \frac{5}{2^{3} }

e) 2^{4} + 2^{3}

Step-by-step explanation:

a) 8 = 2 x 2 x 2

b) 32 = 2 x 2 x 2 x 2 x 2

c) 256 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

d) 5 x 2^3 / 64 = 5 x 8 / 64

                        = 40/64

                        = 5/8

                        = \frac{5}{2^{3} }

e) 16 - (-2)^3 = 16 - (-8)

                    = 16 + 8

                    = 2^{4} + 2^{3}

6 0
3 years ago
Please help, if you’re correct I’ll mark you as brainiest!!!
Xelga [282]

Answer:

A

Step-by-step explanation:

950 is 95% of 1000

so he lost 5 percent, which can be represented as -5.0%

5 0
3 years ago
Read 2 more answers
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