Answer:
Amy has 12 5¢ coins
Step-by-step explanation:
Let x represent 20¢ coins and y represent 5¢ coins.
Amy has four more 20¢ coins than 5¢ coins. Hence:
[tex]x=y+4[/tex]
And the total value of all her coins is $3.80. Thus:
[tex]0.2x+0.05y=3.8[/tex]
This yields a system of equations:
[tex]\displaystyle \begin{cases} x=y+4 \\ 0.2x+0.05y=3.8\end{cases}[/tex]
We can solve by substitution. Substitute the first equation into the first:
[tex]\displaystyle 0.2(y+4)+0.05y=3.8[/tex]
Distribute:
[tex]\displaystyle 0.2y+0.8+0.05y=3.8[/tex]
Combine like terms:
[tex]\displaystyle 0.25y = 3[/tex]
And divide both sides by 0.25. Hence:
[tex]y=12[/tex]
Thus, Amy has 12 5¢ coins.
Using the first equation:
[tex]x=y+4[/tex]
Substitute:
[tex]x=(12)+4=16[/tex]
Thus, Amy has 16 20¢ coins.
In conclusion, Amy has 12 5¢ coins and 16 20¢ coins.
how to multiply workout
Answer:
Steps to multiply using Long Multiplication
Multiplying 2-Digit by 2-Digit Numbers
Let us multiply 47 by 63 using the long multiplication method.
1. Write the two numbers one below the other as per the places of their digits. Write the bigger number on top and a multiplication sign on the left. Draw a line below the numbers.

2. Multiply ones digit of the top number by the ones digit of the bottom number.
Write the product as shown.

3. Multiply the tens digit of the top number by the ones digit of the bottom number.

This is our first partial product which we got on multiplying the top number by the ones digit of the bottom number.
4. Write a 0 below the ones digit as shown. This is because we will now be multiplying the digits of the top number by the tens digit of the bottom number. Hence, we write a 0 in the ones place.

5. Multiply the ones digit of the top number by the tens digit of the bottom number.

6. Multiply the tens digit of the top number by the tens digit of the bottom number.

This is the second partial product obtained on multiplying the top number by the tens digit of the bottom number.
7. Add the two partial products.

In long multiplication method, the number on the top is called the multiplicand. The number by which it is multiplied, that is, the bottom number is called the multiplier.
So, a long division problem will have:

We follow the same method for multiplying numbers greater than 2-Digits.
The figure below shows the long division method to multiply 357 by 23
PLEASE HELP!!! TRIG
The three solutions of the equation
f(x)=0 are 0°, 180°, and 360°.
Therefore, the three solutions of the equation f(x-30°)=0 are:
Answer:
30°, 210°, 390°
Step-by-step explanation:
Given
f(x ) = 0 has solutions 0°, 180°, 360° , then
f(x - 30) = 0
Add 30° to each of the solutions of f(x) = 0
(0 + 30)° = 30°
(180 + 30)° = 210°
(360 + 30)° = 390°
WILL GIVE BRAINLIEST
Answer:
1 ) the slope is -2/1 y-intersept is 7 therefore y=-2/1x+7 pt's (1,3) (-3,5)
2 ) the slope is 1/1 y-intersept is -4 therefore y=1/1x-4 pt's (-3,1)(-1,3)
Step-by-step explanation:
i hope this helps if you need more or still dont understand plz let me know! <3
y =mx(+or-)b
m,slope ,rise over run .
b,y-inersept the point that of witch it crosses the y axis.
Find the component form of a vector.
Answer:
b
Step-by-step explanation:
The midpoint of JK is M(7, 9). One endpoint is J(5, 8). Find the coordinates of the other endpoint K.
Step-by-step explanation:
(7,9)and (5,8)
x1,y1 x,y
now
x=(x1 + x2)divide by 2
now putting the value
5 = (7+ x2) by 2
2 is in divide then get the 2 in right side with 5 in muntiply form
5×2=7+x2
10=7+x2
10 - 7=x2
x2=3
using the same process do it
y=(y1+y2) by 2
What is 40% of 40 Million?A. 28,000,000B. 5,000,000C. 16,000,000D. 38,000,000
Answer: It is C 16,000,000
Step-by-step explanation: I am 100% sure.
A relation is plotted as a linear function on the coordinate plane starting at point E at(0, 27)and ending at point F at (5, â’8). What is the rate of change for the linear function and what is its initial value? Select from the drop-down menus to correctly complete the statements. The rate of change for the linear function is Choose. And the initial value is Choose. .
The rate of change of a linear function is the slope of the function.
The rate of change is -7 and the initial value of the function is 27
The points are given as:
[tex]E = (0,27)[/tex]
[tex]F = (5,-8)[/tex]
The slope (m) is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{-8 - 27}{5-0}[/tex]
Rewrite the fraction as:
[tex]m = \frac{- 35}{5}[/tex]
Divide -35 by 5
[tex]m = -7[/tex]
So, the rate of change is -7
The initial value of the function is the value of the function when the input value (i.e. x) is 0.
At point E, we have: [tex]E = (0,27)[/tex]
So, the initial value of the function is 27
Read more about linear functions at:
https://brainly.com/question/15602982
The rate of change for the linear function is -7 and the initial value is 27.
does anyone can help me i dont get and how to solve this
Answer:
a = 2
Step-by-step explanation:
I hope this helps!
Please. I just need an answer. I don’t know how to mark brainliest but if I did I would.
Answer:
60 degrees
Step-by-step explanation:
enter a formula using k to connect the two variables. y is proportional to 1/x
[tex]y \propto \dfrac 1x\\\\\implies y = \dfrac kx[/tex]
How do I solve this?
Answer: A: 3x^2y^(3/2)
Step-by-step explanation:
This can be written as
(81*x^8*y^6)^(1/4)
Then multiply each exponent by (1/4):
81^(1/4)*x^(8(1/4))y^6(1/4))
81^(1/4) = 3
x^(8(1/4)) = x^2
y^6(1/4)) = y^(3/2)
The result: 3x^2y^(3/2)
is this correct ? if not what’s the correct answer?
Answer:
correct
Step-by-step explanation:
Corresponding vertices are listed in the same order. In BCDE, segment DE is listed last. In OPQR, the segment listed last is QR. If the figures are congruent, then ...
DE ≅ QR
a measure is stated as 1000m correct to the nearest 50m find the lower bound
Write and solve a system of THREE inequalities that models the situation below. Terrence is going to make and sell cupcakes and giant cookies as a fundraiser to earn money for his bank uniform. He sells the cupcakes for $1.25 each and the cookies for $0.75. He knows he will sell at least 10 cupcakes and 24 cookies. He wants to make at least $50. Find a possible combination of cupcakes and cookies he needs to sell to meet his goal.
Answer:
x = cupcakes
y = cookies
3x + 1y ≥ 205
x cupcakes at $3 each plus y cookies at $1 each is greater than or equal to $205
Step-by-step explanation:
I need help with this
Answer:
Slope: Greater for Function A
Y-intercept: Same for both
Step-by-step explanation:
Slope: The easier way would be to just graph where we get a slope of -6 for Function A and a slope of -4 for Function B. Making Function A to have a greater slope
Y-intercept: Easy, we know x=0 in the y-intercept. They both have (0,3) where x=0 meaning both their intercepts are equal
Hope this helps :)
Answer:
The slope is greater for function A and the y-intercepts are the same.
Step-by-step explanation:
The slope for function A :
= (3-0) / (0 - (0.5)
= 3 / -0.5
= -6.
The y-intercept occurs when x = 0 so:
So the y-intercept is at (0,3)
The slope for function B :
= (3-7) / (0 - (-1)
= -4.
The y-intercept occurs when x = 0 so:
So the y-intercept is at (0,3)
If anyone knows how to do this please help, its for a test and I have to finish the course by 11:59 tonight
Rectangle has length 8.1 and perimeter 28.5 find the width
Answer:
6.15
Step-by-step explanation:
perimeter of a rectangle= 2(Length + width)
perimeter=28.5
length=8.1
28.5=2(8.1+ Width)
28.5=16.2+ 2(Width)
28.5-16.2=2(Width)
12.3=2(Width)
12.3/2=Width
6.15=Width
i need help please find the ans
you will get 15 points if you ans this
Answer:
the answer is 5 ^_^
Step-by-step explanation:
hopeee it helpss ^_^
3. What is the slope of the line that passes through the points E(-1,4)
and F(2, 6)?
A.
3
2
C.
2
D.
NICO
B. -
al
NICO
3.
How many floors have exactly 24 offices?
=============================================================
Explanation:
Focus on the first row only. This involves the stem 2 and various leaves. The stem 2 refers to having a tens digit of 2. So it involves the numbers 20 through 29.
More narrowly, we're involving the values: 20, 22, 24, 24, 27, 29. Each value corresponds to exactly one leaf in that first row. For example, a stem of 2 and a leaf of 7 combine to form the number 27. Often, there will be a key at the bottom of the stem-and-leaf plot to indicate this in shorthand (eg: 2|7 means 27).
In that first row, we see the value 24 shows up twice. This means that there are 2 floors where there are 24 offices on those floors.
Suppose a book has 100 names listed in each column, with 5 columns per page. The book has 200 pages.
How many books are needed to list all the people in a population of 200 million?
Answer:
2,000
Step-by-step explanation:
We know that 100 × 5 = 500, so one page has 500 names on it, we can now then infer that each book has 100,000 names on it because we do 500 × 200.
So knowing that there is 100,000 names per book we now then do 100,000 × 2,000 which equals 200,000,000, so we need to do 2,000 books to store the names of 200 million people. Hope this helps.
Please help me with this, I need a real answer quickly before the period ends. Explanation if you can too pls
Answer:
(4, -6)
Step-by-step explanation:
The rule for rotation around the origin 90 degrees clockwise is
Ro, 90: (x, y) --> (y, -x)
so (6, 4) --> (4, -6)
Solve 7 ax + 8 ax = 9 ax + 6 for x. Assume a + 0.
PLEASEEEE HELPPPPPP ASAPPPPP
Answer:
7.07
Step-by-step explanation:
Angle M is 63 degrees because all 3 angles must add to 180.
Now use the law of sines:
sin(90)/x = sin(63)/6.3
Cross multiply: 6.3 sin (90) = x sin (63)
Divide by sides by sin (63): (6.3 sin (90))/sin (63) = x
Use a calculator: 7.07
i really really hope can see this
Answer:
did u ever figure it out?
Step-by-step explanation:
(2x-3)(x+5)-(x-6)(x+5)=0
ayy yo who want smok wit me
The radius of a circle is 11 ft. Find its area in terms of π π.
Answer:
Area: 121π ft^2
(or just 380 ft^2)
can somebody help me/tell me how to do these?
Hi! I'll try to help
It gives you two equations, one for "x" and one for "y"
All you have to do is replace the variable "y" with its value in the second equation. Might be kind of confusing so let's do one.
y=4x
3x-y=1
Since we know that "y" is the same as 4x, you can rewrite the equation as
3x-4x=1
Next, all you have to do is combine like terms as solve "3x-4x" which is -x
Let's rewrite the equation, then:
-x=1
You can simplify it to
x=-1
by dividing both sides by negative one, in other words swapping the negative sign so that "x" is positive
How do you solve this??? I need it fast please help with steps.
(x+3)(x+1)^2(x−4)>0
Answer:
x < -3 or x > 4
Step-by-step explanation:
The product of the factors is 4th-degree, and the leading coefficient is 1 (positive).
The factors tell you the following about the zeros:
x = -3 . . . sign change from + to -
x = -1 . . . graph touches, but no sign change. - on either side of x=-1
x = 4 . . . sign change from - to +
__
The function will be positive for x < -3 and for x > +4.
_____
Additional comments
The value of the function is zero when any of its factors is zero. The value of a factor changes sign when the value of x changes from one side of the 0 to the other. For example, here, we have x+1 as a factor, so x=-1 is a zero. When x = -0.9, the factor is positive (-0.9 +1 = 0.1). When x = -1.1, the factor is negative (-1.1 +1 = -0.1). If this factor were to the first power, it would cause the value of the function to change sign at x=-1.
However, the factor (x+1) has an even power: (x+1)^2. That means when the factor is negative, its square is positive, and when the factor is positive, its square is positive. In short, the factor (x+1)^2 causes the function to be zero at x=-1, but does not make the function change sign there.
The product of all of these factors will result in a polynomial with x^4 as the highest-degree term. That means the function is of even degree. The leading coefficient is 1, so is positive, and the function will generally have a U-shape. The left-most (odd-degree) zero will be where the function changes sign from positive to negative. The right-most (odd-degree) zero will be where the function changes sign from negative to positive. Those zeros are x=-3 and x=+4, respectively. There are no places between these where the function changes sign, so these zeros are the ends of the regions where the function is positive (>0).
