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2 years ago

The total length of two ships is 1841 feet. The difference in their lengths is 13 feet. Find the length of each ship.

Mathematics

1 answer:

lilavasa [31]2 years ago

8 0

9514 1404 393

Answer:

927 ft

914 ft

Step-by-step explanation:

The lengths are half the sum plus or minus half the difference:

1841/2 ± 13/2 = {1854/2, 1828/2} = {927, 914} . . . feet

Let x represent the shorter length. Then x+13 is the longer length. Their total is ..

x +(x +13) = 1841

2x = 1841 -13

x = (1841 -13)/2 . . . . half the sum minus half the difference

Then the longer length is ...

x+13 = (1841/2) -(13/2) +13

x +13 = (1841/2) +(13/2) . . . . half the sum plus half the difference

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A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 7 grams and the amo

OlgaM077 [116]

Answer:

3 necklaces and 12 bracelets

Step-by-step explanation:

Bracelets = x +4

amount of necklace gold = 20*x

amount of gold in bracelet = 7*(x+4)

added together = 109 gm

20x + 7(x+4) = 109

20x + 7x+28 = 109

27x+28=109

-28 -28

27x= 81

/27 /27

x=3 necklaces

then bracelets = 3+4=12

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3 years ago

Write the equation in slope-intercept form through the point (-4, -7) and is perpendicular to the line y = -(7/4)x + 4 and graph

Scilla [17]

You have to write the equation for a line that crosses the point (-4, -7) and is perpendicular to the line

$y=-\frac{7}{4}x+4$

When you have to determine a line that is perpendicular to a known line, you have to keep in mind that the slope of the perpendicular line will be the negative inverse of the first one.

If for exampla you have two lines, the first one being:

$y_1=mx+b$

And the second one, that is perpedicular to the one above:

$y_2=nx+c$

The slope of the second one is the negative inverse of the first one:

$n=-\frac{1}{m}$

The slope of the given line y=-7/4+4 is m=-7/4

So the slope of the perpendicular line has to ve the inverse negative of -7/4

$\begin{gathered} n=-(-\frac{4}{7}) \\ n=\frac{4}{7} \end{gathered}$

Considering it has to pass through the point (-4,-7) and that we already determined its slope, you can unse the point slope formula to determine the equation of the perpendicular line:

$y-y_1=m(x-x_1)$

replace with the coordinates of the point and the slope and calculate:

$\begin{gathered} y-(-7)=\frac{4}{7}(x-(-4)) \\ y+7=\frac{4}{7}(x+4) \\ y+7=\frac{4}{7}x+\frac{16}{7} \end{gathered}$

Subtract 7 to both sides of the equation to write it in slope-intercept form:

$\begin{gathered} y+7-7=\frac{4}{7}x+\frac{16}{7}-7 \\ y=\frac{4}{7}x-\frac{33}{7} \end{gathered}$

Now you can graph both lines

8 0

1 year ago

What is another way to write this number? 300 + 70 + 5 + 8 300 + 70 + 10 100

ololo11 [35]

Answer:

Combine the terms

300 + 70 = 370

5/10 + 8/100

Note that first, you must find common denominators. What you multiply to the denominator, you multiply to the numerator. Multiply 10 to the numerator and denominator of 5/10

(5/10)(10/10) = 50/100

50/100 + 8/100

Combine the terms

50/100 + 8/100 = 58/100

370 58/100 is another way to write it

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2 years ago

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Fofino [41]

Answer:

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Step-by-step explanation:

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