Answer:
16 5c coins
34 10c coins
Step-by-step explanation:
(I prefer to use whole numbers)
5x + 10y = 420
x+y=50
multiply the bottom problem by -5
5x +10y =420
-5x -5y = -250
combine the problems
5y = 170
divide by 5
y = 34
that means x = 16
34 10c coins
16 5c coins
-- Gage Millar, Algebra 1/2 tutor
The number of 5 cent coins are 16 and the number of 10 cent coins are 34.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Given that, a trader has a mixture of 5 c and 10 c coins.
Let the the number of 5 c coins be x and the number of 10 c coins be y.
He has 50 coins in all, with a total value of $4.20.
So, x+y=50 ---------(I)
5x+10y=420 ---------(II)
Multiply equation (I) by 5, we get
5x+5y=250 ---------(III)
Subtract equation (III) from (II), that is
5x+10y-(5x+5y)=420-250
⇒ 5y=170
⇒ y=34
Substitute y=34 in equation (I), we get
x=16
Therefore, the number of 5 cent coins are 16 and the number of 10 cent coins are 34.
To learn more about the linear system of an equations visit:
https://brainly.com/question/27664510.
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Is 1/3 greater than, less than, or equal to 1?
Answer:
1/3 is less than 1
Step-by-step explanation:
3/3=1
1/3<1
HelloZZZZ!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
HI!!!
Step-by-step explanation:
The marked price of a television is Rs 18,500. A dealer allows two successive discounts of 20% and 5%. For how much is the television available to buy
Answer:
20%Discount price is 14800
Then 5%Discount price of the new price is 14060
14060 is the answer
16 308/1000 as a decimal
Answer: 16.308
Step-by-step explanation:brainiest please
(C) c varies directly as a and inversely as b. If c= 15 when a = 18 and b = 40, find c when a = 36, and b = 25. = с
Answer:
c = 48
Step-by-step explanation:
Given c varies directly as a and inversely as b then the equation relating them is
c = [tex]\frac{ka}{b}[/tex] ← k is the constant of variation
To find k use the condition c = 15 when a = 18 and b = 40 , then
15 = [tex]\frac{18k}{40}[/tex] ( multiply both sides by 40 )
600 = 18k ( divide both sides by 18 )
[tex]\frac{600}{18}[/tex] = k
[tex]\frac{100}{3}[/tex] = k
c = [tex]\frac{100a}{3b}[/tex] ← equation of variation
When a = 36 and b = 25 , then
c = [tex]\frac{100(36)}{3(25)}[/tex] = [tex]\frac{3600}{75}[/tex] = 48
Which statement is true about the polynomial 3x2y2 − 5xy2 − 3x2y2 + 2x2 after it has been fully simplified?
Answer: Varies
Step-by-step explanation:
There would still be some Xs and Ys.
What is the range
of 98, 99, 100,
90, 98, 100?
Answer:
10
Step-by-step explanation:
Increasing order:-
90,98,98,99,100,100Range = Highest term - Lowest term
Range = 100 - 90
Range = 10
Hence,
Range of the given term is 10
Answer:
10Step-by-step explanation:
The data set in ascending order:
90, 98, 98, 99, 100It has min = 90, max = 100
The range is the difference between min and max:
100 - 90 = 10help me please!! and thank you
Answer:
y = -(5/6)x + 0.917
Step-by-step explanation:
We can calculate a slope with the two given points:
(-2.5,3) and (3.5,-2)
Rise (change in y) = -2 - (3) = -5
Run (change in x) = 3.5 - (-2.5) = 6.0
Slope = Rise/Run = -5/6
The line has the following form:
y = -(5/6)x + b
We can find b, the y-intercept, by using one of the two points in the equation and then solve for b. I'll choose (-2.5,3):
y = -(5/6)x + b
3 = -(5/6)*(-2.5) + b
3 = 2.083 + b
b = 0.917
y = -(5/6)x + 0.917
Two cyclists are 7 miles apart when they begin biking away from each other in
opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of
the second cyclist is b miles per hour greater than the speed of the first cyclist.
How many miles apart are the cyclists in 45 minutes
Answer:
25
Step-by-step explanation:
Its just 25
Which table represents a direct variation between x and y
Answer:
Y
Step-by-step explanation:
Because the direct variables are plus twenty five
express 10500 in terms of its prime factors .
determine the smallest positive number P such that 10500P is a perfect cube
Answer:
Below
Step-by-step explanation:
Dividing by prime numbers :
2 | 10500
2 | 5250
3 | 2625
5 | 875
5 | 175
5 | 35
7.
So 10500 = 2*2*3*5*5*5*7
To find the smallest positive cube we need to multiply by 2 ( to get 3 2's in the prime factors), another 2 3's and another 2 7's
That is P = 2*3*3*7*7 = 882.
The perfect cube is 2^3*3^3*5*3*7^3 = 9261000.
A donut has a diameter of 15cm. Whats is the comerference?
Can u please help me with this. I’ll make brainliest
Answer:
number
Step-by-step explanation:
number than number lol sorry i dont know i wish i could help you
if you are graphing a system of equations, but the graph doesn't give you enough space to plot the y intercept or slope, what do you do? HELP ASAP
What is an equation of the line through (0,3) with slope 2/5? 1. -5x+2y=15. 2. -5x-2y=-15 3. 2x-5y=15 4. -2x+5y=15
Answer:
The answer is 3. 2x - 5y = 15
Step-by-step explanation:
The first side of a triangle of a triangle is 2 longer than the second side. The third side is 5 shorter than twice the second side. The perimeter is 49m. Find the length of each side.
Answer:
First side is 15 m.
Second side is 13 m.
Third side is 21 m.
Step-by-step explanation:
Let x be the second side of the triangle = x
The first side of a triangle is 2 longer than the second side = x + 2
The third side is 5 shorter than twice the second side. = 2x - 5
Perimeter = 49 m
The formula for finding the perimeter of triangle is:
P = a + b + c
Put the values in the formula
49 = x + x + 2 + 2x - 5
49 = 4x - 3
Use APE or Addition Property of Equality
49 + 3 = 4x
52 = 4x
Use DPE or Division Property of Equality to find the value of x
[tex]\frac{52}{4} = \frac{4x}{4}[/tex]
13 = x
Now put the value of x in the equation
First side( x + 2) = 13 + 2 = 15
Second side( x ) = 13
Third side (2x - 5) =
2(13) - 5
26 - 5
= 21
Alan and Pedro eat today at the same Taqueria, but Alan attends every 20 days and Pedro every 38 when will they meet again?
Answer:
380 days
Step-by-step explanation:
38 × 1 = 38 38 × 6 = 228
38 × 2 = 76 38 × 7 = 266
38 × 3 = 114 38 × 8 = 304
38 × 4 = 152 38 × 9 = 342
38 × 5 = 190 38 × 10 = 380
20 × 1 = 20 20 × 6 = 120
20 × 2 = 40 20 × 7 = 140
20 × 3 = 60 20 × 8 = 160
20 × 4 = 80 20 × 9 = 180
20 × 5 = 100 20 × 10 = 200
20 x 10 = 200 20 x 20 = 400
so 20 x 19 = 380
First common number in both times table is 380
Can you give me the answer?
Answer:
39
Step-by-step explanation:
The inside of a triangle adds up to 180:
90 because that square box is 90 degrees
90+50=141
180-141=39
help! Scroll to see image!
mhorn seems to be correct
Step-by-step explanation:
yshahaa
Please help asap!!!
Will give brainliest
Answer:
33/2 or
Step-by-step explanation:
2x−7
4
=
x+3
3
(2x−7)*(3)=(x+3)*(4)
6x−21=4x+12
Step 2: Subtract 4x from both sides.
6x−21−4x=4x+12−4x
2x−21=12
Step 3: Add 21 to both sides.
2x−21+21=12+21
2x=33
Step 4: Divide both sides by 2.
2x/2
=
33/2
x=
33/2
Answer:
x = 33/2 = 16 1/2
Step-by-step explanation:
You can clear fractions first, or you can work with the fractions as is.
(2x -7)/4 = (x +3)/3
2/4x -7/4 = 1/3x +1 . . . . . eliminate parentheses
(1/2 -1/3)x = 1 +7/4 . . . . . add 7/4 -1/3x
1/6x = 11/4 . . . . . . . . . . . simplify
x = 66/4 = 33/2 . . . . . multiply by 6, reduce the fraction
can somebody please help me
Answer:
The probability of drawing the first pink ball is [tex]\frac{3}{10}[/tex].
Because you drew that first pink ball, there are two pink balls left and the total number of balls left is nine.
Hence, the probability of drawing another pink ball after drawing the first pink ball would be:
[tex]\frac{3}{10} *\frac{2}{9} =\frac{1}{15}[/tex]
BRAINLIEST
please help me do these problems I’ve almost finished the whole assignment
Answer:
13. PS ≈ 28.30
14. ∠CDB ≈ 68.74°
Step-by-step explanation:
13 =========================
We'll start from the right, at ∠R. We have the measurement of the angle, the adjacent side, and we need to find the measurement of the opposite side. Use the tan function in this case. (think soh-cah-toa)
[tex]tan(28)=\frac{x}{39} \\x=39tan(28)[/tex]
or x ≈ 20.74
Now we know that QS is about 20.74. From ∠P this time, we have the angle, the opposite side, and we need the hypotenuse. sin function this time.
[tex]sin(76)=\frac{39tan(28)}{y} \\ysin(76)=39tan(28)\\y=\frac{39tan(28)}{sin(76)}\\[/tex]
or y ≈ 28.30
PS ≈ 28.30
14 ======================
Start from ∠A and use tan.
[tex]tan(47)=\frac{x}{18} \\x=18tan(47)[/tex]
x ≈ 19.30
Then from ∠CDB, we'll use inverse cos.
[tex]cos^{-1}(\frac{7}{18tan(47)} )= y[/tex]
y ≈ 68.74°
∠CDB ≈ 68.74°
=======================
I'm pretty highly confident this is correct, but it's been a long time since I've done this and the irrational numbers seem strange. If the rest of the assignment was like that though, it should be fine.
Identify the like terms of 3x, choose all that apply:
Answer:
-2x, x, 5x
Step-by-step explanation:
Answer:
5x-2xxStep-by-step explanation:
Like terms a self-explanatory. These are values that are alike. There has to be something they share in common. And those are: same variables, integers, etc. Am integer that is alike in terms has to have the same variable. For instance, 3x and 3y are not alike because they do not share the same variable.
3xy
It may have an "x" with it, but it is not alike because it also contains another variable, "y", which is not the same as "3x".
3
This may confuse people. Just because it is "3" and we have "3x" doesn't mean they are alike. There is no "x" in 3. And three is an integer.
7y
Seven has a y, which is different from an x.
Pls help me solve thisss
Answer:
J (-5,2)
Hope this helps!
(-2.05) - (-5)
explain and show how u did this
Answer:
2.95
Step-by-step explanation:
When we have a problem like this (-2.05)-(-5)
It becomes -2.05+5 because two negatives make a positive, then we add them and we get 2.95
What is the cube root of 8x27?
Answer:
6
Step-by-step explanation:
this is so simple brother
Answer:
The cube root of 8x27 is 54
Step-by-step explanation:
Observe the following pattern (1×2)+(2×3)=2×3×43, (1×2)+(2×3)+(3×4)=3×4×53, (1×2)+(2×3)+(3×4)+(4×5)=4×5×63 and find the value of (1×2)+(2×3)+(3×4)+(4×5)+(5×6)
The price of a stock was $24.56 per share. An investor decided to spend $5,000 to buy shares of the stock. To the nearest whole number, what is the maximum number of shares of stock that the investor can buy
Answer:
203 i just did it
Step-by-step explanation:
Answer:
the answer is 203
Step-by-step explanation:
Just got it right on edge 22
Write three different multiplication problems for which the product is 9x2 + 18x.
18 ( 1 + X )
sorry if my answer wrong
Find an irrational number between 6 and 28
Answer:
Step-by-step explanation:
All the whole numbers or integers between 6 and 28 are rational numbers because they can be expressed as improper fractions as for example 7 = 7/1 but the square root of 7 is an irrational number because it can't be expressed as a fraction.
Answer:
√101 (square root of 101)
Step-by-step explanation:
Irrational numbers are numbers that can't be written as fractions.
The square root of 101 is irrational because it is not a perfect square which means that it has an infinite amount of numbers after the decimal point. Because of this the square root of 101 cannot be expressed as a fraction.
The miller’s are comparing babysitting services for their two children. the babysitters block charges a rate of $15 an hour per child plus an initial fee of $25 per household. super sitters charges a flat rate of $20 an hour per child. for …. hours of service both babysitting services would cost the same
Answer:
2.5 hours
Step-by-step explanation:
BB = 25 + (15x)2
SS = (20x)2
25 + 30x = 40x
10x = 25
x = 2.5
Answer:
5 hours
Step-by-step explanation:
15 times 5 is 75 plus 25 is 100
20 times 5 is also 100