Pls I really need help with this

a cashier at the supermarket has $685 in 4 different denomination bills in her register at the end of the day. the number of $5

netineya [11]

9514 1404 393

Answer:

85 ones
70 fives
15 tens
2 fifties

Step-by-step explanation:

Let a, b, c, d represent the numbers of $1, $5, $10, and $50 bills, respectively. The problem statement tells us ...

a +5b +10c +50d = 685 . . . . . total amount of cash

b = 10 +4c . . . . . . . . . . . . the number of fives is 10 more than 4 times tens

a = b+c . . . . . . . . . . . as many ones as fives and tens combined

d = 2 . . . . . . . . . . the register contained 2 fifty-dollar bills

__

Substituting for 'a', then for 'b', we have ...

(b+c) +5b +10c +50d = 685

6(10 +4c) +11c +50d = 685

60 +35c +50d = 685

Substituting d=2 and subtracting 160 gives ...

35c = 525

c = 15

b = 10 +4c = 10 +4(15) = 70

a = b+c = 70 +15 = 85

The register contained ...

85 ones
70 fives
15 tens
2 fifties

5 0

2 years ago

Read 2 more answers

Students at Jefferson Elementary School made $3,045 selling 210 equally priced boxes of candy. Which is the best estimate for th

Novosadov [1.4K]

3,045 = 210x

3,045/210 = 14.5

A good estimate of the cost would be:

$14.50

4 0

2 years ago

Read 2 more answers

Which of the following expressions is a polynomial?

miskamm [114]

Answer:

d is the answer i believe

Step-by-step explanation:

8 0

3 years ago

A CD usually sells for $15.00. If the CD is 10% off, and sales tax is 5%, what is the total price of the CD, including tax?

dybincka [34]

Answer:

<em>The total price of the CD is $14.18</em>

Step-by-step explanation:

<u>Percentages </u>

We can compute additive or subtractive percentages by using these formulas. If we have a number X and want to increase it by Y%, then the increase is xY/100. Thus the new value for the number is x+xY/100 or equivalently

$X(1+Y/100)$

If we want to decrease by Z%, the new value is

$X(1-Z/100)$

The regular price for a CD is X=$15. The CD is Z=10% off, so the sale price is

$15(1-10/100)=\$13.5$

But we have to add the tax of Y=5%, so the final value is

$13.5(1+5/100)=\$14.18$

The total price of the CD is $14.18

5 0

2 years ago

From A to B a private plane flies 2.8 hours at 110 mph on a bearing of 64 degrees . It turns at point B and continues another 1.

Firdavs [7]

Answer:

a. 360.323 m

b. $95.265^{o}$

Step-by-step explanation:

Distance covered from A to B = speed x time

= 110 x 2.8

= 308 m

Distance covered from B to C = speed x time

= 110 x 1.7

= 187 m

The sum of angles at B = $64^{o}$ + $26^{o}$

= $90^{o}$

a. The distance of the plane from it starting point to C can be determined by applying the cosine rule.

$b^{2}$ = $a^{2}$ + $c^{2}$ - 2ac Cos B

Sot hat;

$b^{2}$ = $187^{2}$ + $308^{2}$ - 2(187 x 308) Cos $90^{o}$

But, Cos $90^{o}$ = 0

So that,

$b^{2}$ = $187^{2}$ + $308^{2}$

= 34969 + 94864

= 129833

b = $\sqrt{129833}$

= 360.323

The distance from A to C is 360.323 m.

b. Applying the sine rule;

$\frac{a}{SinA}$ = $\frac{b}{SinB}$

$\frac{187}{SinA}$ = $\frac{360.323}{Sin90^{o} }$

$\frac{187}{SinA}$ = $\frac{360.323}{1}$

Sin A = $\frac{187}{360.323}$

= 0.5190

⇒ A = $Sin^{-1}$ 0.5190

= $31.265^{o}$

The bearing of the plane from its original location = $64^{o}$ + $31.265^{o}$

= $95.265^{o}$

8 0

3 years ago