Answer:
The number of
Quarters = q = 58 quarters
Nickels = n = 32 nickels
Step-by-step explanation:
It is important to note that:
A quarter is worth 25 cents = 0.25q
A nickel is worth 5 cents = 0.05n
George has only Quarters and nickels in his piggy bank.
Let the number of
Quarters = q
Nickels = n
He has a total of 90 coins.
Hence,
q + n = 90.... Equation 1
q = 90 - n
The value of the coins is $16.10.
Hence,
0.25q + 0.05n = 16.10....Equation 2
We substitute 90 - n for q in Equation 2
0.25(90 - n) + 0.05n = 16.10
22.5 - 0.25n + 0.05n = 16.10
Collect like terms
- 0.25n + 0.05n = 16.10 - 22.5
-0.2n = - 6.4
n = -6.4/-0.2
n = 32 nickels
Solving for q
q = 90 - n
q = 90 - 32
q = 58 quarters
Therefore, the number of
Quarters = q = 58 quarters
Nickels = n = 32 nickels
What is the classification for this polynomial? 6xyz + xy Click on the correct answer. monomial binomial trinomial
Answer:
Binomial
Step-by-step explanation:
the polynomial has two terms 6xyz and xy
How do you do this what the answer to number 12
In AIJK, the measure of ZK=90°, the measure of ZI=46°, and IJ = 9.2 feet. Find the
length of JK to the nearest tenth of a foot.
J
9.2
X
46
K
Answer: 6.6
Step-by-step explanation:
I need help please!!
A store manager earns $24.00 per hour. If the manger works 8 hours one day and donates 1/10 of the days earnings to charity how much of the earnings are left?
A $19.20
B$29.60
C $172.80
D 192.00
Can anyone help me please ?
what is 49cm^2 in mm^2
Answer:
4900mm^2 or 24010000mm
Step-by-step explanation:
Find the surface area
Please explain
Step-by-step explanation:
There are two trapezium(s), area of 2:
= 2 [½ x (sum of || sides) x height]
= 2[½ x (4 + 8) x 4.6 ] [not clearly visible if it is 4.5 or 4.6]
= 55.2 yd²
Area of vertically tilted rectangles
1): area = 5 x 4 = 20 yd²
2): area = 5 x 4 = 20 yd²
Total area = 20 + 20 = 40 yd²
Area of horizontal rectangles:
1): area = 4 x 8 = 32 yd² [upper]
2): area = 4 x 4 = 16 yd² [lower]
Area of given surface = 55.2 + 40 + 32 + 16 = 143.2 yd²
During a walk a thon,noahs time in hours was,t,and distance in miles,d,are related by the equation 1/3d=t .A gragh of the equarion includes points (12,4)
Question:
During a walk-a-thon, Noah's time in hours was t, and distance in miles, d, are related by the equation [tex]\frac{1}{3}d = t[/tex]. A graph of the equation includes points (12,4).
1. Identify the independent variable.
2. What does the point (12,4) represent in this situation?
3. What point would represent the time it took to walk [tex]7\frac{1}{2}[/tex] miles?
Answer:
(a) d
(b) He spent 4 hours to walk 12 miles
(c) [tex](7\frac{1}{2},2\frac{1}{2})[/tex]
Step-by-step explanation:
Given
[tex]t = \frac{1}{3}d[/tex]
Solving (a): The independent variable
The independent variable, in this problem is the distance walked. Because the distance walked stands alone, and it is when the distance is known, that the time spent is known.
Hence:
The independent variable is distance (d)
Solving (b): What (12, 4) represents
This implies that:
[tex]distance = 12[/tex]
[tex]time\ spent = 4[/tex]
So: He spent 4 hours to walk 12 miles
Solving (c): Point to represent the time to walk [tex]7\frac{1}{2}[/tex] miles
This implies that:
[tex]d = 7\frac{1}{2}[/tex]
Substitute [tex]d = 7\frac{1}{2}[/tex] in [tex]t = \frac{1}{3}d[/tex]
[tex]t = \frac{1}{3} * 7\frac{1}{2}[/tex]
Express as improper fraction
[tex]t = \frac{1}{3} * \frac{15}{2}[/tex]
[tex]t = \frac{5}{2}[/tex]
Express as mixed number
[tex]t = 2\frac{1}{2}[/tex]
So: The point is, [tex](7\frac{1}{2},2\frac{1}{2})[/tex]
b) Select all expressions that can be used to find 85% of 280.
A.
8.5
10
280
B.
0.85
100
280
C.
85
100
280
Answer:
238
85%of 280 is 238
Step-by-step explanation:
hope this helps
Complete the statement. 80 oz = ____ lb
Answer:
5 lb
Step-by-step explanation:
1 pound is 16lb
80 ÷16=5
round nearest hundredth
Answer:.
Step-by-step explanation:nearest hundredth the answer for this question is joe mama
What is the value of this expression? 44−{(6+8)÷2}×3
14
23
69
111
Answer:
23
Step-by-step explanation:
First, open the brackets.
44 - (14/2) x 3
44 - 7 x 3
44 - 21
23
Oscar buy his lunch in the school cafeteria the cost of 15 schools lunches is $33.75
Answer:
$2.25
Step-by-step explanation:
If the answer is how much is one school lunch then...
33.75/15
=2.25
$2.25
2(x+3)=x-4 solving equations
Answer:
X=-10 most likely
Step-by-step explanation:
2x+6=x-4
2x-x=-6-4
X=-10
Answer:
x= -10
Step-by-step explanation:
2(x+3) = x-4
Distribute to simplify left side, 2x+6= x-4-x both sides, x+6= -4subtract 6 both sides, x=-10The total bill for drinks and a pizza for three people is $14.90 before tax. The group wants to leave a 15% tip on the cost of the food, not including tax. What will be the amount of the tip?
Answer:
$2.24
Step-by-step explanation:
Since we are trying to find a percentage of something, we can multiply whatever we're trying to find a percentage from by 0.X where X is equal to the number of the percentage. So in this case it's 15%. We can multiply $14.90 by 0.15 and we get 2.23500. Since we cannot have 2.235 dollars, we must round up decimal places.
The tip would be 2 dollars and 24 cents. ($2.24).
Edith rides in an Oober that charges a flat rate of $6.75 plus $3.20 per mile. If the ride share service charges $40.03 in total for her trip, how many miles is her ride? Enter your NUMERICAL answer only in the box as a decimal to the nearest tenth of a mile.
Answer:
10.4 miles
Step-by-step explanation:
c(m) = trip cost
c(m) = 6.75 + 3.2m
40.03 = 6.75 = 3.2m
33.28 = 3.2m
m = 10.4
which method between graph method and table method friendly use? Motivate your answer
Answer:
in my experience table method is friendly use because it is easier to work with than a graph
X+3y=17 -2x+3y=-7 how do you solve it
Answer:
X+3y=17 is x=−3y+17
-2x+3y=-7 is x= 3 /2 y+ 7 /2
Step-by-step explanation:
In a class there are 15 students. 8 of them like playing soccer, 6 of them like swimming, and 2 like both and swimming and playing soccer. How many students do not like playing soccer and do not like swimming?
Answer:
6+8-2=12, 15-12=3 answer=3
which set of sides will NOT make a triangle?
19cm 14cm 7cm
11cm 13cm 3cm
12cm 7cm 5cm
2cm 3cm 4cm
Answer:
12cm 7cm 5cm
Step-by-step explanation:
Since 7 + 5 is = 12, it cannot be a side of a triangle. If you add any 2 numbers, the sum must be greater than the 3rd one.
what’s the answer to this question
Step-by-step explanation:
I can't see the question. please resend picture
find the volume of the solid figure
Answer:
Volume= Length × Width × Height
Mrs. Alley is buying carpet for a rectangular room that measures 12 feet wide and 24 feet long. How many square feet of carpet will Mrs. Alley need?
Elaine worked 48 hours last week. Her hourly rate is $9.20. What was her GROSS PAY?
Answer:
48 × 9.20 = 441.60
Step-by-step explanation:
gross wages can be calculated by multiplying the number of hours worked by the employee's hourly wage.
On a map 3 cm represents 21 km. What is the
length of a road in cm if the actual length of the
road is 105 km?
Answer:
`5 centemeters.
Step-by-step explanation:
Just divide the KM by 7 since 21 divided by 3 is 7. So dividing 105 by 7 gives you 15. HOPE THIS HELPS! :)
Write an equation to show how many times greater the value of a 5 in the tens place is than a 5 in the tenths place
jimmy has 90 billion watermelons and spends on a rocket that cost 42 billion melons how much will jimmy have?
Answer:45,000,000,000 melons
Step-by-step explanation:
90,000,000,000-45,000,000,000=45,000,000,000
If someone can help pls need soon
Answer:
Step-by-step explanation:
help this is due today ;::
Answer: C- 17
Step-by-step explanation: