Answer:
The number of nickels is 47
Step-by-step explanation:
1 nickel is 5 cents while 1 quarter is 25 cents
let the number of nickels be n and the number of quarters be q
From the question;
the number of nickels n is 8 more than half the number of quarters (q/2)
n = q/2 + 8
(n-8) = q/2
q = 2(n-8) = 2n - 16 ••••(i)
let us convert $21.85 to cents
there are 100 cents in $1
Thus; $21.85 will be 21.85 * 100 = 2185 cents
1 nickel is 5 cents; so n nickels will be 5 * n = 5n cents
1 quarter is 25 cents; so q quarters will be 25 * q = 25q cents
The addition of both will give 2185 cents
Thus;
5n + 25q = 2185 ••••••(ii)
Substitute equation i into ii
5n + 25(2n-16) = 2185
5n + 50n - 400 = 2185
55n = 2185 + 400
55n = 2,585
n = 2,585/55
n = 47 nickels
Isaac has three types of coins in his pocket. There are two more quarters than dimes, and as many nickels as quarters and dimes together. The coins total $3.75. How many quarters, dimes, and nickels are in Isaac's pocket?
Answer:
There are 16 nickels, 7 dimes, and 9 quarters.
Step-by-step explanation:
Aight, so lets set dimes as "x". Since there are 2 more quarters than dimes, quarters is "x+2". And since nickels is equal to dimes plus quarters, nickels takes the role of "(x+2)+x". We can simplify this by adding x and x together, so nickels is "2x+2" In this example, I'm converting these variables to cents, since it's easier than converting to dollars. Since a dime is 10 cents, 10 times x is"10x". Quarters are worth 25, so first we do x times 25 (25x) and then 2 times 25 (50). Then nickels. 2x+2 times 5 is 10x + 10. Alright, so now we have our cent values. $3.75 is 375 cents, so now we can make an equation:
10x + 25x + 50 + 10x + 10 = 375 cents.
I'm guessing you already know how to solve an equation, first combine like terms, then figure out how many times the variable goes into the numerical value. You should end up with 7, which is dimes. If we go back to our problem, we see that there are 2 more quarters, so 7+2= 9 quarters. As for nickels (9+7) there are 16 nickels.
There's probably a more efficient way to do this, but since I'm so... uh... inefficient, this is the best explanation I can do :p
Answer:
16 nickels 7 dimes 9 quarters
Step-by-step explanation:
im just that smarttttttt lol!! hope this helped
–6z^2− 8z + 8 = 0
sole using the quadratic formula
Answer:
Simplifying
6z2 + -8z + 1 = 0
Reorder the terms:
1 + -8z + 6z2 = 0
Solving
1 + -8z + 6z2 = 0
Step-by-step explanation:
sine of z if the opp=5 hyp=6
Step-by-step explanation:
sin z = 5/6
since sin= opposite/hypo
Answer:
decimal form = 56.4426....
degree form = 56 degrees 26 minutes 33.68 seconds
Step-by-step explanation:
sin theta = opposite/hypotenuse
sin theta = 5/6
theta = sin-1 (5/6)
A die is rolled twice. What is the probability of getting two even numbers?
Answer:
1/2
Step-by-step explanation:
HELP YOU GET BRAINLIEST!! What is the cost of 8 shirts?!
Answer: B, 120
Step-by-step explanation:
look at x-value 8 and find y-value
Answer:
the cost of 8 shirts would be $120.
Step-by-step explanation:
if you go to the 8 on the bottom where it says "number of shirts" and you follow that line up to the blue dot and then over, you reach 120 on the side where it says "cost" so your answer would be $120.
a dress is regulary price a $45 thedress is marked down 30 percent what is sale price of the dress
Answer:
$31.50
Step-by-step explanation:
So first thing, it's necessary to figure out what 30% of 45 is.
You can set this up as an algebraic expression or your can multiple 45 by 3/10 to find out what that 30% is.
The algebraic expression would be 30% of 45 is x.
Using one of these two options; we would discover that 30% of 45 is 13.5.
However, this is not the answer, yet.
The question is looking for the price of the dress after the 13.5 is taken away.
Therefore, you would subtract.
45 - 13.5 = 31.5
Sooooo... your answer is "The sale price of the dress is $31.50."
Find the surface area of the figure.
22 m
12 m
5 m
Answer:
Step-by-step explanation:
5*12=60
60*22=1320
Cindy says that 1/4 divided by 12= 3. is she correct? if not, justify your reasoning and give the correct quotient
Answer:
No, Cindy is not correct.
Step-by-step explanation:
1/4 divided by 12 is dividing by a fraction
So:
1/4 / 12/1 = 1/4 x 1/12=1/48
1/48 is not equal to 3
The zeros of a quadratic function are -7 and 3. Which of the following could be the function? Select all that apply.
A. F(x)=2x^2-8x-42
B. F(x)=5x^2+20x-105
C. F(x)=x^2+4x-21
D. F(x)=x^2-4x-21
Answer:
B and C
Step-by-step explanation:
PLZZ HELPP ILLL GIVE BRAINLIST
Answer:
the last one the red one or is that orange is right
Step-by-step explanation:
PLZZZ HELP ME!!!
Find the volume of the pyramid.
An oblique rectangular pyramid with a base length of 3 centimeters and a width of 1 centimeter. The pyramid has an altitude of 7 centimeters.
V=lwh/3
=3*1*7/3
=21/3
=7
Hope you like my answer.
Answer:
V=7 (Volume)
Step-by-step explanation:
V=lwh/3=3*1*7/3=7
ANSWER FOR BRAINLIEST:
The low temperatures for the last five days are: Low Temperatures: 62, 46, 50, 52, 55.
Find the MEAN ABSOLUTE DEVIATION (MAD) of the temperatures
Answer:
4.4
Step-by-step explanation:
The mean absolute deviation is 4.4, and you can just search "mean absolute deviation calculator ".
Compute the value of the discriminant and give the number of real solutions of the Quadratic equation 3x^2+5x-2=0
Answer:
Discriminant = 49, two real solutions
Step-by-step explanation:
Discriminant = b² - 4ac = (5)² - 4(3)(-2) = 25 + 24 = 49
Since 49>0, then the quadratic equation has two real solutions.
Answer:
D=49
x=1/3
x= -2
3m + 2n + 4;
m = 2 and N =4
D2 + 9k; d = 10 and k =9
3m + 4y x 2 m = 7, y = 10
Answer:
1. 18
2. 181
3. 101
Step-by-step explanation:
They want you to take each equation, and replace the letter with the number they give you after the equation.
3m + 2n + 4; m = 2, n = 4
This becomes
3(2) + 2(4) + 4
We multiply before we add, according to the order of operations. So next, the equation becomes:
6 + 8 + 4
= 18
———-
D^2 + 9k ; D = 10, k = 9
Numbers squared are numbers multiplied by themselves.
(10)(10) + 9(9)
= 100 + 81 = 181
——————-
3m + 4y x 2 ; m = 7, y = 10
3(7) + 4(10) x 2
21 + 40 x 2
Remember, multiplication always comes before addition.
21 + 80 = 101
Please let me know if you have questions on this.
3rd Question can someone help???
Answer:
7/8
Step-by-step explanation:
7/8*2/5<2/5
Noah’s soccer team played 12 games and won 10 of these. The ratio is 10:2 what is the percentage of the game won?
Alexton the Skeleton borrowed $4000 or 5 years
at a 6% simple interest rate to pay for his band
equipment. How much interest is that?
Answer: $1,200
Step-by-step explanation:
If you use the simple interest formula, I = (p)(r)(t), you’ll replace it with I = 4,000 x 0.06 x 5 it’ll give you $1,200 :)
5x+10 resultado cuál es?
Answer:
What is x? I will tell you the answer in the comments!! Thank you!!
which of the following could represent the unit side lengths of a right triangle
F 10, 24, 26
H 7, 11, 13
G 3, 6, 7
J 5, 10, 15
Answer:
F
Step-by-step explanation:
10^2+24^2=676
26^2=676
My little brother spent $5 on comic books and magazines. He bought 4 items. If comic books
cost $1 and magazines cost $2, how many of each item did my brother buy?
comic books
magazines
No links please!
Thank you
Answer: He bought 1 magazine and 3 comic books.
Step-by-step explanation: If comic books cost $1 and magazines cost $3, the equation for the problem should look like this: 2(m) + 1(c) = 5, since you know that the brother spent $5 in total. "m" represents the number of magazines purchased while "c" represents the number of comic books purchased. If you plug in 1 for "m" and 3 for "c", the equation would be true and would equal a total of $5. Also, 1 magazine and 3 comic books would mean that the little brother did, in fact, purchase 4 items.
ASAP (WILL MARK BRAINIEST)
A large emerald with a mass of 812.04 grams was recently discovered in a mine. If the density of the
grams
emerald is 2.76 cm3 what is the volume? Round to the nearest hundredth when necessary and only
enter numerical values, which can include a decimal point. (6 points)
Given P(A) 0.3, P(B) = 0.43 and P(ANB) = 0.249, find the value of
P(AUB), rounding to the nearest thousandth, if necessary.
Answer:
0.481
Step-by-step explanation:
P(A U B) = P(A) + P(B) - P(A∩B)
= 0.3 + 0.43 - 0.249
= 0.73 - 0.249
= 0.481
Susan has 12 pizzas that she needs to divide equally among 7 classrooms.
Which fraction shows how many pizzas each classroom should get?
Answer:
1 5/7
Step-by-step explanation:
12 ÷ 7 = 1R5, therefore, we have 1 whole and 5/7
Hope I helped
A. Their rates of change differ by 2. B. Their rates of change differ by 4. C. Function M has a greater rate of change than Function P. D. Function M and Function P have the same rate of change.
Answer:
(a) Their rates of change differ by 2
Step-by-step explanation:
Given
See attachment for functions M and P
Required
Determine what is true about the rates of M and P
First, we calculate the slope (i.e. rate) of both functions.
Slope is calculated as:
[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
From the table of M, we have:
[tex](x_1,y_1) = (-2,-9)[/tex]
[tex](x_2,y_2) = (2,11)[/tex]
So, the slope is:
[tex]m_M = \frac{11 --9}{2--2}[/tex]
[tex]m_M = \frac{20}{4}[/tex]
[tex]m_M = 5[/tex]
For function P, we have:
[tex]y = 7x + 9[/tex]
A function is represented as:
[tex]y = mx + b[/tex]
Where:
[tex]m = slope[/tex]
So, by comparison:
[tex]m_P = 7[/tex]
At this point, we have:
[tex]m_M = 5[/tex] --- Slope of M
[tex]m_P = 7[/tex] --- Slope of P
Only option (a) is true because both slopes differ by 2. i.e. 7 - 5 = 2
Other options are not true
Find the value of x. Pls answer asap
Answer:20=x i played around with the angles a bit untill it all fit in 360 (the angles all together equal up to 360 in a polygon)
Step-by-step explanation:
A car uses 10 liters of gasoline every 180 km. How many km. will it travel with 48 liters?
Answer:
864 km
Step-by-step explanation:
Hope this helps! (I would appreciate brainliest, if not that's okay!!)
Escribe cada expresión como un numero racional.
A. El denominador es el triple del numerador disminuido en 2 y el numerador es el menor múltiplo de 5 diferente de 0.
B. El numerador es cuatro veces menor que el denominador, que corresponde al resultado de 8 · 2.
ayudenme pliss
Answer:
es la B. El numerador es cuatro veces menor que el denominador, que corresponde al resultado de 8 · 2.
If cot= -1/3 and cos theta Greater than 0, find the trigonometric function values in simplest radical form
Answer:
Step-by-step explanation:
If cot= -1/3 and cos theta Greater than 0, find the trigonometric function values in simplest radical form
During a recent storm, 1.7 inches of rain fell each hour. If the storm lasted for 4 hours, how much rain fell during the entire storm?
A 4.8
B 5.9
C 6.3
D 6.8
Answer:
D) 6.8 inches
Step-by-step explanation:
1.7 x 4 = 6.8 inches
42 = 7 ( x + 5 ) solve for x
Answer:
x = 1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
1. distribute 7 to x and 5.
42 = 7x + 35
2. subtract 35 on both sides.
7 = 7x
3. Divide by 7 for both sides.
1 = x