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Aleksandr-060686 [28]

3 years ago

13

mrs ryan plants 3 flowers along 4 inches of a garden row. the garden row is 3 feet long. how many flowers can she plant along th

e garden row

1 answer:

o-na [289]3 years ago

8 0

3 feet is equal to 36 inches if you divide 36 by 4 you get 9
Hope I helped :)

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A cash box contains $74 made up of quarters, half-dollars, and one-dollar

Strike441 [17]

Answer:

25 one-dollar coins, 16 half-dollar coins, and 164 quarters

Step-by-step explanation:

First, set up equations based on the information given:

$0.25q+0.50h+1.00d=74$

$\displaystyle{h=\frac{3}{5}d+1}$

$q=4(d+h)$

Then, substitute <em>q</em> in the first equation with the expression from the third equation:

$0.25[4(d+h)]+0.50h+1.00d=74\\1d+1h+0.50h+1.00d=74\\2d+1.5h=74$

Next, substitute <em>h</em> in that equation with the expression from the second equation:

$\displaystyle{2d+1.5(\frac{3}{5}d+1)=74}$

$2d+0.9d+1.5=74\\2.9d+1.5=74$

Solve for <em>d</em>, the number of one-dollar coins:

$2.9d+1.5=74\\2.9d=72.5\\d=25$

Substitute 25 for <em>d</em> in the second equation to find <em>h</em>, the number of half-dollar coins:

$\displaystyle{h=\frac{3}{5}d+1}$

$\displaystyle{h=\frac{3}{5}(25)+1}$

$h=15+1\\h=16$

Substitute 25 for <em>d</em> and 16 for <em>h</em> in the third equation to find <em>q</em>, the number of quarters:

$q=4(d+h)\\q=4(25+16)\\q=4(41)\\q=164$

Then, verify that the coins total $74:

$0.25(164)+0.50(16)+1.00(25)=74\\41+8+25=74\\74=74\\\text{Check.}$

Next, verify that the number of half-dollar coins is one more than three-fifths of the number of one-dollar coins:

$\displaystyle{h=\frac{3}{5}d+1}$

$\displaystyle{16=\frac{3}{5}(25)+1}$

$16 = 15 + 1\\16 = 16\\\text{Check.}$

Finally, verify that the number of quarters is four times the number one-dollar and half-dollar coins together:

$q=4(d+h)\\164=4(25+16)\\164=4(41)\\164=164\\\text{Check.}$

6 0

3 years ago

In the circle below tangent PA and secant PBC have been drawn.if PB=4 and BC=12 then which of the following is the length of tan

Vinvika [58]

The length of the tangent PA is gonna be 8

5 0

3 years ago

Read 2 more answers

What is the simple quotient for 32 divide by 8/5

Softa [21]

Answer:

20

Step-by-step explanation:

32/1 / 8/5= 32/1 x 5/8= 160/8=20

4 0

3 years ago

HElP please im very confused

nadezda [96]

Answer:

Help you with what?

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Please help really fast :)

olasank [31]

Answer:

Step-by-step explanation:

The two smaller angles add up to the measure of the total angle, so

(like a lot of geometry) it is really just an Algebra 1 problem with a nice picture to go with it ---> (5x + 13°) + (3x + 33°) = 70°

8x + 46° = 70°

8x = 24°

x = 3°

There is no actual question shown, but I imagine you want one or more of the following:

x = 3°

∠ABC = 3(3°) + 33° = 9°+ 33° = 42°

∠CBD = 5(3°) + 13° = 15° + 13° = 28°

Hope this helps.

4 0

2 years ago