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 bills was 10 more than 4 times the amount of $10 bills. the register contained as many $1 bills as $5 bills and $10 bills combined, and two $50 bills. how many bills of each kind did the register contain?
9514 1404 393
Answer:
85 ones70 fives15 tens2 fiftiesStep-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 ones70 fives15 tens2 fiftiesA salesman sold 345
iPods this month and
214 iPads. If he sells this
amount of iPods every
month for the next 12
months, how many iPods
will he sell?
Answer:
2568
Step-by-step explanation:
214x12=2568
what is and application that process data into meaningful information is
Answer:
Data processing is a process of converting raw facts or data into a meaningful information. Data can be done manually using a pen and paper, mechanically using simple devices eg. typewritter or electronically using modern dat processing toolseg computers.
Step-by-step explanation:
Which angle is vertical to AFC?
Pretty sure the answer is DFE
The class president won the election by a vote of 3 to 2 her opponent received 356 votes. How many votes did the winner receive?
Answer:
534
Step-by-step explanation:
please help due in an hour
Answer:
x=30°
Step-by-step explanation:
3x-10=2x+20
3x-2x=20+10
x = 30°
just x, no y in the photo
Select all values of x that make the inequality true: (x ≥ -1)
A. -4
B. -2
C. -1
D. 0
E. 1
F. 4
Answer:
c,d,e,f
Step-by-step explanation:
mark me brainliest
Select all values of x that make the inequality true: (x ≥ -1)
A. -4
B. -2
C. -1
D. 0
E. 1
F. 4
Answer:
C, D, E, F
Step-by-step explanation:
hope this helps! #HappyCheating
help me please i will give 50 pts and a brainiest
Answer:
14 Feet
Step-by-step explanation:
Answer:
14 is the answer
140/10=14
hope this helps
have a good day :)
Step-by-step explanation:
A y= 2x - 10
B y= 1/2 x + 10
C y= 1/2x -10
D y= 2x + 10
9514 1404 393
Answer:
D. y= 2x + 10
Step-by-step explanation:
Try x=3 in the equations and see which one works.
A: 2·3 -10 = -6 ≠ 16
B: 1/2(3) +10 = 11.5 ≠ 16
C: 1/2(3) -10 = -8.5 ≠ 16
D: 2(3) +10 = 16 . . . . . . this equation works
Ahmad will spend at most $30 on gifts so far he has spent $13 what are the possible additional amounts he will spend?
Answer:
$15
Step-by-step explanation:
Budget = $30
Spent = $13
--------------------------
30 - 15 = $15
Ahmad will spend $15 additional dollars.
4. Thunder Bob's race car traveled at an average speed of 195
miles per hour during a recent championship race. If the
distance traveled (d) varies directly as the time raced (t),
identify which function accurately models the race car's
average distance traveled at any given time during the race.
Jill is swimming laps in a pool. The table shows how the total distance she swims depends on the number of laps she does.
Number of Laps - Total Distance (Meters)
5 250
10 500
15 ?
20 1,000
25 1,250
A. 50
B. 75
C. 550
D. 750
Answer:
the expression b/c=b/c is an example of a/an
Solve the system of equations
-2x-3y=21
-6x+2y
Part 1: Explain the steps you would take to solve the system by eliminating the x-terms.
Part 2: Explain the steps you would take to solve the system by eliminating the y-terms.
Part 3: Choose either of the methods described in parts 1 or 2 to solve the system of equations. Write you answer as an ordered pair. Show you work.
Answer:
[tex] \huge\mathcal\colorbox{red}{\color{pink}{ᶛɲƧཡэʀ}}[/tex]
Value of x & y when
equations are
2x-3y=-21-6x+2y= 7is
x = 1.5
y = 8
Valerie and Bret have a total of 21 dog show ribbons. Bret has twice as many ribbons as Valerie. How many ribbons does each have? Plz help
Answer11
Step-by-step explanation:
Can someone please Help me with this ?
Answer:
The answer is A
Step-by-step explanation:
t(x) = (x-4)(x-4)+3
t(x) = (x²-4x-4x+16)+3
t(x) = x²-8x+19
Please help me thank you !!!
Answer:
1. 19.8 or 20 dollars
2. 91.6 or 90 dollars
3. 108.9 or 110 dollars
4. 8.98 or 9 dollars
5. 2.91 or 3 dollars
i can't see 6 but just divide the total cost by how many items
Step-by-step explanation:
Rationalize the denominator and simplify
PLEASE HELP BRO IM FAILING MATH
Answer:
Step-by-step explanation:
we have several angles that have the same vertex and so they are congruent
1) e = 35 degrees because the opp angle has this measure
2) d = 109 degrees for the reason above
3) for find f we have to notice that the sum of the three angles (if you look at the vertical line you can notice that it is a straight line, so describes two angles whose measures are 180 degrees)
f = 180 - (35 + 109)
f = 180 - 144 = 36 degrees
A finite sequence of numbers is called AWESOME if each subsequent member of the sequence, except the first one, is larger than the previous one and if the
product of all the members of that sequence is a perfect square. For example, sequence 2, 6, 27 is an AWESOME sequence. Determine the natural numbers x and y such that the sequence 28, x, y, 65 is an AWESOME sequence.
Answer:
The answer is "28, 35, 52, 65"
Step-by-step explanation:
Calculating the x,y:
[tex]\to x< y<65\\\\\to 65 \times 28 xy=13 \times 5xy \times 7 \times 2^2\\\\x=13 \\\\y=5 \times 7= 35\\\\[/tex]
When
or
[tex]x=35\\\\y= 13 \times 2^2=13 \times 4 =52[/tex]
So, the final answer is "28, 35, 52, 65".
I NEED HELP AGAIN YALL
Answer: Y=-5x+3
Step-by-step explanation:
first slope= 0 on the x axis so -2-3=-5
to get 3 you can do 4-1=3 or 7-4 or even 1-(-2)!
Correct answer: [tex]y = 3x -5[/tex]
You don't have to use the whole table in order to find equation. You can use just two points on the table to start.
In order to find the slope, the formula for that is: [tex]\frac{y_{2}-y_{1}}{x_{2} - x_{1}}[/tex]. So, we can start with points (1, -2) and (2, 1). Label (1, -2) as [tex]x_{1}[/tex] and [tex]y_{1}[/tex]; label (2, 1) as [tex]x_{2}[/tex] and [tex]y_{2}[/tex]. Now we can plug the numbers into the formula.
[tex]\frac{1-(-2)}{2 - 1}[/tex] → [tex]\frac{3}{1}[/tex] → [tex]3[/tex] is the slope.
To find the y-intercept, substitute (1, -2) into [tex]y = 3x + b[/tex].
[tex](-2) = 3(1) + b[/tex]
[tex]-2 = 3 + b[/tex]
[tex]-3[/tex] [tex]-3[/tex]
________
[tex]b = -5[/tex] is the y-intercept.
Thus, the slope-intercept equation is [tex]y = 3x -5[/tex]. Hope this helps :) Let me know if you have any other questions related to this problem!
please answer ive been waiting half hour
Every plant bloomed in the spring. The simple subject of this sentence is _____.
every
every plant
plant
bloomed
The subject is the idea,being or thing being discussed.
Should be "plant". Its the Main thing being discussed.
What is the volume of this composite solid?
4 m
2 m
7 m
2 m
2 m
O A. 58 cubic meters
O B. 64 cubic meters
O C. 78 cubic meters
O D. 62 cubic meters
Answer:
64
Step-by-step explanation:
A P E X
In ΔEFG, f = 37 inches, g = 92 inches and ∠E=97°. Find the area of ΔEFG, to the nearest square inch.
Answer:1689
Step-by-step explanation:
Delta Math
7) WILL MAKE BRAINLIEST
write the slope-interception form of the equation of each line.
Please help me this is for a test. Thank you so much whoever answers this.
Answer: Pretty sure the answer is 3.
Step-by-step explanation:
[tex]\frac{2(4+7)-7}{5}[/tex]
[tex]\frac{2(11)-7}{5}[/tex]
[tex]\frac{22-7}{5}[/tex]
[tex]\frac{15}{5}[/tex]
Which expression has a value greater than 43 ?
PLEASEEE HELP!
Answer:
7^2
Step-by-step explanation:
7*7=49
4^3=43
49>43
30 POINTS, NO LINKS, AND ANSWER RIGHT.
-15 = 8z + 7. what is the value of z
Line A passes through the points (-3,2) and (-23,54). Line B is parallel to line A and passes through the point (-8,0). Consider
the equation of line B in the form y= a (x + b), where a and b are rational numbers.
Answer:
Line A passes through (-3, 2) and (-23, 54)
slope of line A will be
[tex]m_{A} =\frac{y_{2}-yx_{1} }{x_{2}- x_{1} } = \frac{54-2}{-23+3} = \frac{52}{20}= \frac{13}{5}[/tex]
Equation of line A will be
[tex](y - y_{1}) = m_{A}(x-x_{1} )\\\\(y - 2) = \frac{13}{5}(x -(-3))\\\\(y - 2) = \frac{13}{5}(x +3))\\ \\\\5((y - 2) = 13(x +3))\\\\5y -10 = 13x + 39\\\\5y = 13x + 49[/tex]
Given line B is parallel to line A, So slope of A and B
[tex]m_{A} \cdot m_{B} = 1[/tex]
slope of line B will be
[tex]\frac{13}{5}\cdot m_{B} = 1\\\\m_{B} = \frac{5}{13}[/tex]
Also given line B passes (-8, 0), therefore the equation of line B
[tex](y-y_{B}) = m_{B}(x-x_{B} )\\\\(y - 0) = \frac{5}{13}(x + 8)\\\\y = \frac{5}{13}(x+8)\\\\[/tex]
Therefore,
[tex]a = \frac{5}{13} \ \ and \ b = 8[/tex]
Help me please I will give brainleist
Answer:
? = 7x
Step-by-step explanation:
Lets simplify the equation first;
5x - 20 + ? = -20 + 12x
=> So now, we have to make the equation on the left equation congruent to the right equation:
It we already have -20 common on both sides, but we need to find out, what added by 5x gives us 12x,
=> So we can let the number we have to find out be y, and say:
5x + y = 12x
=> y = 12x - 5x
=> y = 7x
Therefore, ? = 7x
Hope this helps!
determine the discount between the point(-4,2) and the line 4y=3×+6
Answer:
d = 14/5
Step-by-step explanation:
The point (-4,2) means that;
At x = -4, y = 2
Now general form of a linear equation is;
Ax + By + C = 0
We are given;
4y = 3x + 6
Rearranging to the form of a linear equation gives;
3x - 4y + 6 = 0
Thus, A = 3, B = -4 and C = 6
Thus, at point (-4,2), distance between them is;
d = (3(-4) - 4(2) + 6)/√(3² + (-4)²)
d = -14/5
We will take the absolute value.
Thus; d = 14/5