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
f(x) = -2x^2 + 12x + 3
Find the a, b, and c
Step-by-step explanation:
a = coffcient of x ² = - 2
b = cofficient of x = 12
c = constant term = 3
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please help i need help with all of these questions
Answer:
1: 1/2
2: 6
3: 2
4: -4
Step-by-step explanation:
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About 8% of the earth’s crust is made up of aluminum. Write 8% as a decimal
Answer:
0.08
Step-by-step explanation:
We know that 8% is also [tex]\frac{8}{100}[/tex], and if we move the decimal two places to the left, we will get 0.08.
Write 3-5 sentences about the process of Grouping Factoring Method
Translate five units left and four units down (geometry)
Answer:
Step-by-step explanation:
What is the total cost to the nearest cent? $14.30 watch; 6.75% tax
Answer:
$15.27
Step-by-step explanation:
Help meeeee please and thank you
1. Complete these statements. Give an example and solution of each.
Whenever you divide two terms with the same base, you ______ the base and _______ the exponents.
Example:
Whenever you multiply two terms with the same base, you _________ the base and ___________ the exponents.
Example:
Answer:
Whenever you divide two terms with the same base, you keep the base and subtract the exponents.
Example:
x³ / x⁷ = x³⁻⁷ = x⁻⁴ = 1 / x⁴
or
8¹³ / 8⁶ = 8¹³⁻⁶ = 8⁷
Whenever you multiply two terms with the same base, you keep the base and add the exponents.
Example:
x³ × x⁷ = x³⁺⁷ = x¹⁰
or
12⁻⁵ × 12⁹ = 12⁻⁵⁺⁹ = 12⁹⁻⁵ = 12⁴
The rectangular picture frame shown below has a 2-inch width.
12 in
12 in.
22 in
18 in
What is the area of the picture frame?
16 in
136 square inches
152 square inches
O 216 square che
O 352 squarenches
Answer:
Step-by-step explanation:
Hg6gyby
Wall-E is sending signals that he is driving into a crater at an angle of depression of 58°. If Wall-E covers a horizontal distance of 130 meters, what vertical distance has it traveled?
Answer:
208 meters
Step-by-step explanation:
Wall-E is sending signals that he is driving into a crater at an angle of depression of 58°. If Wall-E covers a horizontal distance of 130 meters, what vertical distance has it traveled?
tan θ = Opposite/Adjacent
θ = Angle of depression
Adjacent = Horizontal distance = 130 meters
Opposite = Vertical distance = x
θ = 58°
tan 58 = x/130 meters
Cross Multiply
x = tan 58 × 130 meters
x = 208.04348878 meters
Approximately = 208 meters
Therefore, the vertical distance it travelled is 208 meters
A scientist has two solutions, which she has labeled Solution A and Solution Each contains salt. She knows that Solution A is 40% salt and Solution B is 55% salt. She wants to obtain 90 ounces of a mixture that is 45% salt. How many ounces of each solution should she use?
Answer:
Step-by-step explanation:
Let the number of ounces of
A = x
B = y
A scientist has two solutions, which she has labeled Solution A and Solution Each contains salt. She knows that Solution A is 40% salt and Solution B is 55% salt. She wants to obtain 90 ounces of a mixture that is 45% salt. How many ounces of each solution should she use?
Our system of equations is given as
x + y = 90.... Equation 1
x = 90 - y
40% × x + 55% × y = 45% × 90 ounces
0.4x + 0.55y = 40.5....Equation 2
We substitute 90 - y for x in Equation 2
Choose the figure that shows only a radius.
21 years ago Alvin was 11 times older than Tomio. The sum of their present age is 54.
Answer:
Not sure exactly what answer you are looking for. But I assume it is the ages of them. Their original ages would be Tomio - 1 year old, Alvin - 11 years old. Now, Tomio - 22, Alvin - 32
Step-by-step explanation:
1(tomio) x 11 = 11 (alvin) (add 21 to these)
22+32=54
hope that makes sense
What is the measure of n?
6
24
n
m
n =
[?]
Answer:
n = 12
Step-by-step explanation:
By applying geometric mean theorem in the given right angle triangle,
[tex]\frac{AD}{BD}=\frac{BD}{DC}[/tex]
BD² = AD × DC
Now substitute the values of each side given,
n² = 6 × 24
n² = 144
n = 12
What is 1/4 squared??
Answer:
1/16
Step-by-step explanation:
1²/4² equals 1/16.
Write an equation of the line that passes through (-4 , 2) and is parallel to the line
y = 1/4 + 1
SOLVE MY QUESTION PLEASE!!
I’LL PUT YOU IN BRAINLEST!!
Answer:
y=1/4x + 3
Step-by-step explanation:
We know that the beginning of the equation has to be 1/4x since the line has to be parallel. So what I did was start at -4,2 then go up 1 and over 4, which led me to 3 as the y intercept.
I attached a photo. Not sure if it makes sense but I tried my best.
Answer this question please. I’ll give Brainliest.
9514 1404 393
Answer:
(a) 1 and 3; 2 and 4
Step-by-step explanation:
In this figure, adjacent angles are linear pairs, so are supplementary. The only angles that are not are the vertical angles.
1 & 3, 2 & 4 are not supplementary
Answer: Its D
Step-by-step explanation:
What is the measure of
Four numbers are such that their mean is 13 their median is 14 and their mode is 15. Find the 4 numbers
Answer:
7,5,3,1
Step-by-step explanation:
A rectangle has and area of 55 Square inches and a length of 5 inches what is the width
Answer:
11 inches
Step-by-step explanation:
55/5 = 11
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The probability of landing on green when spinning a spinner is 1/5. Choose the likelihood that best describes the probability of this event.
A. Impossible
B. Neither likely nor unlikely
C. Unlikely
D. Likely
Answer:
Step-by-step explanation:
0<1/5<1/2
So it is possible but unlikely
C. Unlikely
Answer:
the person above is right
Step-by-step explanation:
the answer is unlikely
metropolis gets 5.8 inches of rain in october, 4.2 inches in novemeber how much does it get in december
Answer:
2.6
Step-by-step explanation:
Metropolis gets 5.8 inches of rain in October
4.2 inches of rain is seen in November
Therefore the amount that would be seen in December can be calculated as follows
= 5.8-4.2
= 1.6
4.2-1.6
= 2.6
Hence 2.6 inches of rain would be seen in December
Determine if two triangles are congruent. If they are, state how you know.
A: Not enough information.
B: SSS
C: SAS
D: AAS
help me ASAP please!
Answer:
B. SSS
Step-by-step explanation:
The two triangles already have 2 congruent sides, and the only missing thing to see is that they both share the same side with one another. This automatically makes them congruent.
Find the missing number in the proportion.
23 over 50 = ___ over 100
Answer:
46
Step-by-step explanation:
let that number x
so [tex]\frac{23}{50} =\frac{x}{100}[/tex]
I do cross multiplication so 23*100=2300 and 50*x=50x
so 50x=2300 divide both by 50
x=46
Answer:
46
Step-by-step explanation:
since 100 is 50×2 you just do the same thing to 23 and multiply it by 2.
Evaluate the expression. 12(7)(4)+6(5)=
Answer:
Step-by-step explanation:
(12×7×4)+6(5)=
336+30=366
DO NOT GIVE ME A DARN PDF!!!!!
Solve for x: 27 = 6x - 21.
a.1 = x
b.6 = x
c.no solution
d.8 = x
Answer:
a
Step-by-step explanation:
Step-by-step explanation:
Here's the answer.
PLEASE FOLLOW ME!
here is a list of ingredients to make biscuits
200g of butter
180g of caster sugar
400g of plain flour
20g of chocolate chips
Andrew only has 300g of plain flour.
How much of the other ingredients should he use?
Answer: 150 grams of butter
135 grams of caster sugar
15 grams chocolate chips
300 grams of flour
Step-by-step explanation:
if 300 grams equals 3/4 of 400 grams than all we have to do is get 3/4 of all the other ingredients.
ERMS is selling tickets to a musical performance. On the first day of ticket sales the school sold 8 adult
tickets and 4 child tickets for $32. On the second day they sold 5 adult tickets and 3 child tickets for $21.
Find the price of an adult ticket and the price of a child ticket.
Adult ticket (x): $
Child ticket (y): $
(i already asked this but no one responded)
solve the equation
8.88 = 4.44 (x - 7)
5(y + 2/5) = -13
Answer: (9,-3)
x=9 y=-3
whats 1/2 mineus 1/3
Answer:1/2 - 1/3 = 1/6
Step-by-step explanation:
Answer: 1/6 or 0.16
Step-by-step explanation: hope this helps!
Philip made $1,155 in 15 days. Let "m" represent the amount of money that Philp made each day. If Philip made the same amount of money each day, how much did he make in one day.
Answer:
he made in one day is $77
Step-by-step explanation:
Given that
Philip made $1,155 in 15 days
Now based on the above information
The amount he make in one day is shown below:
= $1,155 ÷ 15 days
= $77
hence he made in one day is $77
The same would be relevant