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Pavlova-9 [17]
3 years ago
13

Which is greater: 5 yards or 150 inches?

Mathematics
1 answer:
il63 [147K]3 years ago
4 0

Answer:

5 yards.

Step-by-step explanation:

5 yards = 180 inches

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The cost for 50 pounds of pet food is $117.50. What is the cost for on pound of food?
lisov135 [29]

The cost per pound is

... $117.50/(50 pounds) = $2.35/pound

The average cost for a pound of pet food is $2.35.

_____

If the food only comes in 50 lb bags, your cost for one pound of it will be $117.50.

5 0
3 years ago
How do the values compare? order the values from least to greatest.
denis-greek [22]

-2 1/2

-1/2

|1/2|

1 1/2

|-2|

|-2 1/2|

3 0
3 years ago
Find the equation of a line passing through (-4,-3) and perpendicular to<br> 3 x + 2 y = 14.
Reil [10]

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

3x+2y=14\implies 2y=-3x+14\implies y=\cfrac{-3x+14}{2}\implies y = \cfrac{-3x}{2}+\cfrac{14}{2} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{3}{2}}x+7\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

so therefore

\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-3}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{-3}\implies \cfrac{2}{3}}}

so we're really looking for the equation of a line whose slope is 2/3 and passes through (-4 , -3)

(\stackrel{x_1}{-4}~,~\stackrel{y_1}{-3})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{\cfrac{2}{3}}(x-\stackrel{x_1}{(-4)}) \implies y+3=\cfrac{2}{3}(x+4) \\\\\\ y+3=\cfrac{2}{3}x+\cfrac{8}{3}\implies y=\cfrac{2}{3}x+\cfrac{8}{3}-3\implies y=\cfrac{2}{3}x-\cfrac{1}{3}

3 0
2 years ago
6 of 8
jekas [21]

Answer:

1.7x25=42.5

70-4.5=27.5

her loss will be£27.5

3 0
3 years ago
You deposit the same $10,000 into a bank account at 4% annual interest. How long will it take for the $10,000 to compound to $30
Readme [11.4K]

Answer:

time = 28 years

Step-by-step explanation:

Given,

principal amount = $10,000

rate = 4%

total amount = $30,000

According to compound interest formula

A\ =\ P(1+r)^t

where, A = total amount

            P = principal amount

            r = rate

            t = time in years

so, from the question we can write,

30000\ =\ 10000(1+0.04)^t

=>\ \dfrac{30000}{10000}\ =\ (1+0.04)^t

=>\ 3\ =\ (1.04)^t

by taking log on both sides, we will get

=> log3 = t.log(1.04)

=>\ t\ =\ \dfrac{log3}{log1.04}

=> t = 28.01

So, the time taken to get the amount from 10000 to 30000 is 28 years.

8 0
4 years ago
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