Answer:
10.8887π.
Step-by-step explanation:
34.208 / π
= 10.8887π.
Ashley has $9.05 in dimes and nickels. If she has a total of 108 coins, how many of each type does she have?
Answer:
[tex]73\:\mathrm{dimes},\\35\:\mathrm{nickels}[/tex]
Step-by-step explanation:
We can write the following system of equations:
[tex]\begin{cases}10d+5n=905,\\d+n=108,\\\end{cases}[/tex], where [tex]d[/tex] is the number of dimes she has and [tex]n[/tex] is the number of nickels she has.
Multiply the second equation by [tex]-5[/tex] and add both equations to solve for [tex]d[/tex]:
[tex]\begin{cases}10d+5n=905,\\-5d-5n=-540,\\\end{cases}\\5d=365,\\d=\fbox{$73$}[/tex].
Plug [tex]d=73[/tex] into any equation to solve for [tex]n[/tex]:
[tex]73+n=108, \\n=\fbox{$35$}[/tex]
There are 73 dimes and 35 nickels.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Ashley has $9.05 in dimes and nickels. If she has a total of 108 coins,
dime = 10
A nickel = 5
We can write the following system of equations;
10D + 5N = 905
N + D = 108 coins
where D is the number of dimes she has and N is the number of nickels she has.
Multiply the second equation by -5 and add both equations to solve for :
10D + 5N = 905
-5N -5 D = -540 coins
Use the Distributive Property:
Add the like terms:
5D = 365
Divide both sides by 5
D = 73
Plug D into any equation to solve for N
Nickels = 108 - 73 = 35
There are 73 dimes and 35 nickels.
Learn more about equations here;
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I WILL GIVE BRAINIEST Which statement is correct about the product of 9/10 and 7/8
Answer:
7/10 and 7/8 are both less than 1.
Step-by-step explanation:
The product must be less than either factor because when you multiply a number by less than 1, the number gets smaller.
solve 6x+3=27 step by step
Answer:
X = 4
Step-by-step explanation:
6x + 3 = 27
Subtract the 3 from 3 and 27, you end up with 6x = 24
Divide 24 with 6
You should end up with 4
X=4
I hope this helps you out!
Sherry is driving 390 miles to visit The gateway arch in St. Louis. She drives at an average rate of 65 miles per hour. Explain how you can find the amount of time it will take Sherry to get to the arch
Answer:
t = 6 s
Step-by-step explanation:
Given that,
Sherry is driving 390 miles to visit The gateway arch in St. Louis.
She drives at an average rate of 65 miles per hour.
We need to find the amount of time it will take Sherry to get to the arch. Let the time is t.
Speed = distance/time
[tex]t=\dfrac{d}{v}\\\\t=\dfrac{390}{65}\\\\t=6\ h[/tex]
Hence, it will take 6 hours to get to the arch.
solve the system of equations. 2x + 7y =3
x = -4y
x =
y =
Answer:
x = 3/2−7y/2
Step-by-step explanation:
hope this is correct
A fireman's water hose shoots 320 kg of water each second against the door of a building. The velocity of the water is 20 m/s and the water strikes the door horizontally and doesnt bounce back. What average force is exerted by the stream of water?
Answer:
[tex]6400\ \text{N}[/tex]
Step-by-step explanation:
[tex]\dfrac{m}{t}[/tex] = Mass flow rate of water = 320 kg/s
[tex]m[/tex] = Mass of water on the door
[tex]t[/tex] = Time
[tex]v[/tex] = Velocity of water on the door = 20 m/s
Force is given by
[tex]F=\dfrac{m}{t}v\\\Rightarrow F=320\times 20\\\Rightarrow F=6400\ \text{N}[/tex]
The average force is exerted by the stream of water is [tex]6400\ \text{N}[/tex].
What's the difference between period and cycle in math?
what is 5square times 34 times 10square.
Answer:
85,000
Step-by-step explanation:
(5 square) *34* (10 square)
A vegetarian restaurant used 6,680 ounces of spinach last month. This month, with a menu update, it used 10% more than that amount. How much spinach did the restaurant use this month?
Answer:
what subjet is this
Step-by-step explanation:
evaluate the following by writing it as a difference of two squares first : 104^2 - 96^2
Answer:
(502)2 - (498)2
Step-by-step explanation:
(502)2 - (498)2
Solution:
(502)2 -(498)2
Since the given algebraic expression is in the form of a2 – b2 so, here we will directly apply the formula a2 - b2 = (a + b) (a – b) to evaluate the difference of two squares.
HOPE IT HELPS YOU!!!The difference of the squares of, 104² - 96², can be written as: (104 - 96)(104 + 96).
It is evaluated as: 104² - 96² = 1,600
Recall:
The difference of two squares, i.e. x² - y², can be expressed and evaluated as;
x² - y² = (x - y)(x + y)Given:
104² - 96²
The difference can be expressed and evaluated as shown below:
104² - 96² = (104 - 96)(104 + 96)
104² - 96² = (8)(200)
104² - 96² = 1,600Therefore, the difference of the squares of, 104² - 96², can be written as: (104 - 96)(104 + 96).
It is evaluated as: 104² - 96² = 1,600
Learn more here:
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Gabriel works at a snack bar that sells drinks for $3, hot dogs for $5, and t-shirts for $15. In the last hour, Gabriel sold $60 wroth of each of items. How many of each item did Gabriel sell?
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The expression (2x^2)^3 is equivalent to _____. ^this is for to remind that the 2 and 3 are exponents
a.6x2
b.6x5
c.8x6
Answer:
c
Step-by-step explanation:
(2x²)³ = 2³(x^(2×3))
=2³x⁶
=8x⁶
After the video game store, Larry goes to the music store online and downloads four new songs to his phone for $3.99 each. If tax is 7%, how much does he spend in all?
Answer:
Larry spends $22.96 total with the tax
I'm not sure if this is correct of not
If you paid m dollars for a meal at a restaurant. Write an expression that will represent the amount you will pay, including a 15% tip
NEED HELP ASAP
Use the substitution to solve the system.
-4x+3y=32
y=3x+19
x=
y=
Answer:
x=-5
y=4
(-5,4)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(−5,4)
Un auto A se desplaza por una carretera recta a una velocidad constante de 80 km/h otro auto B se localiza 30 km delante del auto a y se desplaza por la misma carretera a una velocidad constante de 60 km/h  ¿cuál es la regla de correspondencia de ambos autos? Y sutabla de valores?
Question in English:
Car A travels along a straight road at a constant speed of 80 km / h another car B is located 30 km in front of the car and it travels along the same road at a constant speed of 60 km / h cuál what is the rule of correspondence of both cars? And your table of values?
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3x-2y = 8
solve for y
Answer:
-4+3x/2
Step-by-step explanation:
Solve the system of equations by the substitution method.
y=5x+8 y=8x+9
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Answer:
whichever one corresponds with the answers you have will be right.
I NEED HELP
I don’t know what to do!!
I need help pls help me
−k+3k
Rewrite in simplest terms: -4k - 9(-8k + 6)
Answer:
68k -54
Step-by-step explanation:
We will have to distribute the 9 first
-4k - 9(-8k + 6)
-4k + 72k - 54 (now we can combine the like terms)
68k -54 (since we can't simplify anything else it's done)
Write the correct order of letters to the finish line Example ABCGH
Matt read 65 pages in 50 minutes. He reads at a constant rate.
How many pages can Matt read per minute?
Answer:
78
Step-by-step explanation:
Can you give me brainliest please
Answer:
Give somuchcringe321 brainliest
Step-by-step explanation:
5.2 divided by what =0.052 and 7,650 divided by what = 7.65
Answer:
a) 100, b) 1000
Step-by-step explanation:
First Answer:
5.2/x = 0.052
x = 5.2/0.052
x = 100
Second Answer:
7650/x = 7.65
x = 7650/7.65
x = 1000
Answer:
A). 100
B). 1000
Step-by-step explanation:
YOU CAN SEE EXPLANATION IN IMAGES.
HOPE THIS HELPS YOU...
Select the correct answer.
You're given three angle measurements of 30°, 70°, and 80°.
How many triangles can you construct using these measurements?
A. 0
B. 1
C. 2
D. Infinitely many
Answer:
The answer is not 1 or 0
I think its D. infinitely many
Step-by-step explanation:
A company is desinging a square prism. Its height is 3 yarss longer than a side of its base. The volume of the prism must be 20 cubic yards. Write a representative function for the volune of the solid..
Answer:
[tex]a^{2} (a+3) = 20\\OR\\a^3 +3a^2 -20 = 0[/tex]
Step-by-step explanation:
Given that:
There is a square prism which has height equal to 3 yards longer than that of the base of the prism.
Let the base of prism = [tex]a[/tex] units
As per question statement:
Height, [tex]h = (a+3)[/tex] units
Volume of the prism = 20 cubic yards
Now, we have to find a representative function that will represent the volume of the solid.
First of all, let us have a look at the formula for volume of a prism.
[tex]V = B\times h[/tex]
Where, [tex]B[/tex] is the area of base and
[tex]h[/tex] is the height of prism.
And the base is a square, whose area will be represented as:
[tex]B = Side \times Side[/tex]
Now, putting the values in the formula for Volume:
[tex]V = a^2(a+3) = 20\\OR\\a^3+3a - 20 =0[/tex]
PLEASE DONT SKIP THIS I NEED HELP
Can someone please explain how to solve this problem?
the main sailboat has the dimensions shown in figure at the right . what is the height of the main sail? Then round to the nearest tenth as needed.)
Answer:
h = 14.49 feet.
Step-by-step explanation:
From the attached figure,
Base = 14 ft
Height = h
Angle = 46°
We need to find the height of the main sail. To find it we can use trigonometry.
The relation between height, base and angle is given by :
[tex]\tan\theta=\dfrac{\text{Height}}{\text{Base}}\\\\\tan(46)=\dfrac{h}{14}\\\\h=\tan(46)\times 14\\\\h=14.49\ ft[/tex]
So, the height of the main sail is 14.49 feet.