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weqwewe [10]
3 years ago
11

At the beach, Pancho and his sister both built sandcastles and then measured their heights. Pancho's sandcastle was 3/5 of a foo

t tall and his sister's was 2/5 of a foot tall. How much taller was Pancho's sandcastle than his sister's?
​
Mathematics
1 answer:
lord [1]3 years ago
7 0

1/5 of a foot

Simply subtract the height of Pancho’s sandcastle (3/5 of a foot) minus the height of his sister’s sandcastle (2/5 of a foot) to find a difference of 1/5 of a foot, meaning Pancho’s sandcastle was 1/5 of a foot taller than his sister’s sandcastle.

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Find the solution of this system of equations<br> -4y = -64 - 6x<br> 4x - 4y = -36
blagie [28]

The solution of system is x=14, y=37

Step-by-step explanation:

Given equations are:

-4y = -64 - 6x  => 6x-4y=-64     Eqn 1

4x - 4y = -36     Eqn 2

Subtracting equation 2 from eqn 1

(6x-4y)-(4x - 4y) = -36+64\\6x-4y-4x+4y=28\\2x=28\\Dividing\ both\ sides\ by\ 2\\\frac{2x}{2}=\frac{28}{2}\\x=14\\Putting\ x=14\ in\ equation\ 1\\-4y=-64-6(14)\\-4y=-64-84\\-4y=-148\\Dividing\ both\ sides\ by\ -4\\\frac{-4y}{-4}=\frac{-148}{-4}\\y=37

The solution of system is x=14, y=37

Keywords: Linear equation, Elimination method

Learn more about linear equations at:

  • brainly.com/question/4706270
  • brainly.com/question/4710621

#LearnwithBrainly

4 0
3 years ago
Round 3.0188 to nearest thousandths
MakcuM [25]
3.019 because if the digit after the place you're looking at is 5 or more then you round up.
3 0
2 years ago
Read 2 more answers
A company manufactures 2,000 units of its flagship product in a day. The quality control department takes a random sample of 40
shepuryov [24]

Answer:

B

Step-by-step explanation:

The recommended sample size n for point estimates is:

n = NX / (N + X - 1)

where N is the population size, and X is defined as:

X = Z² p (1 - p) / E²

where Z is the critical value, p is the sample proportion, and E is the margin of error.

Assume a confidence level of level of 95% and a margin of error of 5%.

α = 0.05, Z(α/2) = 1.96

E = 0.05

Of the 40 units tested, 2 had lifespans less than 26 days.  So the proportion is:

p = 2/40 = 0.05

Therefore:

X = (1.96)² (0.05) (1 - 0.05) / (0.05)²

X = 73

Given N = 2000:

n = (2000) (73) / (2000 + 73 - 1)

n = 70.45

Rounding, the recommended sample size is 70.

5 0
3 years ago
Read 2 more answers
4 + 2/7x = 8 what does x equal
frozen [14]
Subtract 4 from both sides of the equation
you will end up with 2/7x=4
next multiply 7x by both sides
you will end up with 2=28x
next divide 28 from both sides
you will end up with x=1/14 in
fraction form. Hope this helps.
8 0
2 years ago
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PLS SOLVE ASAP!!!
cupoosta [38]
180 + 30x = 60 + 50x
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