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3 years ago

Which expression is equivalent to -19-11?

Mathematics

2 answers:

Sholpan [36]3 years ago

8 0

-30 is your answer, if I’m not mistaking

m_a_m_a [10]3 years ago

7 0

Answer:

option A is correct ans of this qn

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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 q 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 h 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 d, the number of one-dollar coins:

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

Substitute 25 for d in the second equation to find h, 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 d and 16 for h in the third equation to find q, 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

According to a NY Times article in 2009, the average selling price of an LCD TV was $700. What would be the cost of that same TV

alina1380 [7]

Tamam hocam nasılsınız hocam ben bir şey var ya bir insan değilim ki bir şey olmaz sen kaç gibi müsait olur musunuz diye bir

7 0

2 years ago

Consider the equation y=-2x+5. Describe everything you know about this graph compared to the parent linear function y=x.

Mekhanik [1.2K]

Function y = -2x + 5:
slope of -2
y intercept at 5
x intercept at 2 1/2

function y = x
slope of 1
y intercept at 0
x intercept at 0

8 0

2 years ago

150 tissues to fill an area 3 ft long and 2 ft wide. they want to fill an area of 8 ft long and 7 ft wide. what is the total num

Mamont248 [21]

I'm not sure I'm not good at things :/

8 0

3 years ago

Write the equations after translating the graph of y = | 1/2x−2|+3, one unit to the right

AveGali [126]

$y=|\dfrac{1}{2}x-2|+3$

Since we are translating this graph one unit to the right, replace x with (x-1)

Note: If you are translating a graph to the left by k units, replace x with (x+k), and if by the right, replace x with (x-k)

$y=|\dfrac{1}{2}(x-1)-2|+3$

After simplifying, we now have the following equation:

$=|\dfrac{1}{2}x-\dfrac{5}{2}|+3$

This is the new equation. Let me know if you need any clarifications, thanks!

6 0

3 years ago

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