Answer:
[tex]A) x+y=100 \\ ..\ 5x + y = 420[/tex]
Step-by-step explanation:
From the question we are told that:
Five-dollar bill x
One-dollar bill y
Total number of bills [tex]N=100[/tex]
Worth of bills [tex]w=420[/tex]
Generally the equation for Total number of bills is mathematically given by
Since it is made up of five and one dollar bills
Therefore
[tex]x+y=100[/tex]
Hence the Equation for Total worth of bills is
[tex]5x+y=420[/tex]
The System of equations used is
[tex]A) x+y=100 \\ ..\ 5x + y = 420[/tex]
Ms. Dodd buys 6 coffees for the teachers for a total of $19.50. Write an equation that can be used to find the cost of one coffee, c.
Answer:
19.50/6=c c=3.25
Step-by-step explanation:
In this case C=3.25
Answer:
19.50÷6= c
Step-by-step explanation:
19.50÷6 =c
divide to find how much 1 cup of coffee is
to solve an equation with a variable which of the following are done? the value of the variable should be guest first inverse operation are used the variable needs to be isolated addition is always used select all that apply.
9514 1404 393
Answer:
inverse operation are used the variable needs to be isolatedStep-by-step explanation:
A solution is always of the form ...
variable = something
In order to get this form, the variable needs to be isolated (put by itself on one side of the equal sign).
In general, isolating the variable involves using inverse operations to "undo" whatever is done to the variable. These are generally applied in the reverse order of the operations that are done to the variable. The list of operations done and their order can be identified using the Order of Operations to consider how an equation would be evaluated for some value of the variable.
A system of equations is created by using the line represented by2x+4y=0And the line represented by the data in the table below
What is the X value of the solution to the system if x -1 and y is 8
Answer:
x = 2
Step-by-step explanation:
From the data, we obtain the slope :
-1, 8 ; 3, - 4
Slope = Rise / run
Rise = y2 - y1 = (-4 - 8) = - 12
Run = x2 - x1 = (3 - (-1)) = 4
Slope, m = - 12 / 4 = - 3
Recall:
Equation of line :
y - y1 = m(x - x1)
y - 8 = - 3(x + 1)
y - 8 = - 3x - 3
y = - 3x - 3 + 8
y = - 3x + 5
Substituting y = - 3x + 5 into the equation 2x+4y= 0
2x + 4(-3x + 5) = 0
2x - 12x + 20 = 0
-10x = - 20
x = 2
Please answer number 5 I’ll give brainliest thanks
Answer:
Hello! answer: C
Hope that helps!
Answer:
b
Step-by-step explanation:
Experimental - 5 choices, 1 is Q = 1/5
Theoretical - 5 choices, landed on Q 4 times =4/5
A multiple choice test contains questions
with four options each: A, B, C, or D. If
Natalie randomly guesses on the last three
questions, what is the probability that she
gets all three correct?
Answer:
Probability of getting all three correct answer = [tex]\frac{1}{64}[/tex]
Step-by-step explanation:
Given - A multiple choice test contains questions with four options each: A, B, C, or D. If Natalie randomly guesses on the last three questions.
To find - what is the probability that she gets all three correct.
Proof -
Given that, question has 4 options.
And 1 option can be correct,
Let
x be that Natalie gives correct answer.
So,
Probability of getting, correct answer, P(x) = [tex]\frac{1}{4}[/tex]
So,
Probability of getting, incorrect answer, P(x') = 1 - [tex]\frac{1}{4}[/tex] = [tex]\frac{3}{4}[/tex]
Now,
Given that, she guess the 3 questions.
All correct means,
first, second, third question answer is correct.
So,
Probability of getting all three correct answer = [tex]\frac{1}{4}[/tex]×[tex]\frac{1}{4}[/tex]×[tex]\frac{1}{4}[/tex] = [tex]\frac{1}{64}[/tex]
Emma buys two bus tickets to Bradford. She pays with a £10 note. How much change will she get?
Hello there I hop you are having a good day :)
So, if she brought 2 tickets an they cost £4.00 you would add £4.00 + £4.00 = £8.00 and then you would take that away from the £10.00 - £8.00 = £2.00 so Emma would get £2.00 change :) hopefully that helps you.
does the following data show direct variation.
Which inequality can be used to represent this scenario?
Mikael needs to rent a scooter to get to work. The scooter charges $1.85 to activate it and $0.50 per mile Mikael has a gift card for
$10 and he can not spend more on the scooter
O 10 < 0.502 +1.85
O 10 < 1.85.1 +0.50
O 10 > 1.852 +0.50
O 10 > 0.503 +1.85
Answer:
[tex]10 > 1.85 + 0.5m[/tex]
Step-by-step explanation:
Price of the scooter:
Fixed price of $1.85 to activate plus $0.50 for each mile. This situation can be represented by a linear function, and it is given by:
[tex]P(m) = 1.85 + 0.5m[/tex]
Mikael has a gift card for $10 and he can not spend more on the scooter.
The spendings have to be less than 10. So
[tex]10 > P(m)[/tex]
[tex]10 > 1.85 + 0.5m[/tex]
These cones are similar. Find the surface
area of the smaller cone. Round to the
nearest tenth.
2 cm
3 cm
Surface Area = [ ? ) cm2 Surface Area = 75 cm2
Helppppp plssss
Answer:
33.3 cm²
Step-by-step explanation:
Recall: Area Scale Factor = (Linear Scale Factor)²
Area scale factor = surface area of bigger cone/surface area of smaller cone
Let the surface area of the smaller cone be represented as x
Therefore,
Area scale factor = 75/x
Linear scale factor = radius of bigger cone/radius of smaller cone = 3/2
Thus:
75/x = (3/2)²
75/x = 9/4
Cross multiply
x*9 = 75*4
9x = 300
Divide both sides by 9
x = 300/9
x = 33.3 cm² (nearest tenth)
Find the area of the shaded region 29.8, 28, 13
The solution is, The area of the shaded region is 112cm^2.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
First find the area of the rectangle
A = l*w
= 9*16
= 144
The unshaded area is a trapezoid
A = 1/2 ( b1+b2) *h
= 1/2 ( 5+11) * 4
= 1/2 (16) * 4
=32
The area of the shaded region is
rectangle - trapezoid
144-32
112cm^2
Hence, The solution is, The area of the shaded region is 112cm^2.
To learn more on Area click:
brainly.com/question/20693059
#SPJ3
solve the given system of equations 2x + 8y= 5 and 24x - 4y = -15
9514 1404 393
Answer:
(x, y) = (-1/2, 3/4)
Step-by-step explanation:
A graphing calculator does a nice job of finding the solution.
(x, y) = (-1/2, 3/4)
__
You can eliminate y by adding twice the second equation to the first.
(2x +8y) +2(24x -4y) = (5) +2(-15)
50x = -25
x = -1/2 . . . . . . divide by 50
__
24(-1/2) -4y = -15 . . . . .substitute for x in the second equation
-4y = -3 . . . . . . . . . add 12
y = 3/4 . . . . . . . . . divide by the coefficient of y
The solution is (x, y) = (-1/2, 3/4).
If a vertical angle has 74 degree and also opposite angle is 2x degree ,what is value of x?
Answer:
x = 37
Step-by-step explanation:
Well if you didn't know vertical angles are congruent ( or equal to each other )
Which means that 74 = 2x
If we want to find the value of x, then we need to get rid of the "2" on 2x
To do so we can divide each side by 2
74 / 2 = 37
2x / 2 = x
we would be left with x = 37
Write an equation of a line that has a slope of 1 and
goes through the point (6,8).
Plllzzz hellp
9514 1404 393
Answer:
y = x + 2
Step-by-step explanation:
The slope-intercept form equation is ...
y = mx + b . . . . . . slope m, y-intercept b
We are given the slope, so we only need to find the y-intercept. When we solve for b, we find ...
y - mx = b . . . . . . subtract mx
8 - 1(6) = b = 2 . . . . fill in given values of (x, y) and m
Then the equation of the line is ...
y = x +2
These marbles are placed in a bag and two
of them are randomly drawn.
What is the probability of drawing two yellow
marbles if the first one is NOT placed back into
the bag before the second draw?
Give your answer as a rational number, reduced to
simplest terms.
1
[ ?
Hint: Multiply the probability of the 1st Event by the
probability of the 2nd Event to get your answer.
Answer: 1/45
Step-by-step explanation:
graph your linear equation. y=x÷3
Five times the sum of 4 and some number is 40.
Answer:
5 × 4 = 20 not 40
Step-by-step explanation:
An average of 40 cars per hour arrive to be painted at a single-server GM painting facility. 95% of the cars require 1 minute to paint; 5% must be painted twice and require 2.5 minutes to paint. Assume that interarrival times are exponential.
a. On the average, how long does a car wait before being painted?
b. If cars never had to be repainted, how would your answer to part (a) change?
Answer:
2.719 minutes
Step-by-step explanation:
Step 1 :
We have to consider using the M/G/I /GD /∞/∞ Queuing system with the rate of arrival λ and the rate of service μ.
Since average of 40 cars arrive every hour at the painting facility, it follows that:
Arrival rate λ = 40cars /hour
= 40/60 cars/hour
=2/3 cars/hour
More, we were told that 95% of the cars require 1 minute to paint, 5% must be painted twice and require 2.5 minutes to paint, therefore, the average time to paint a car is given by
95/100x1 + 5/100 x 2.5 = 19/20 + 1/8 = 43/40min
It follows that:
Service rates μ = 40/43cars/min
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Write the quadratic equation in factored form. Be sure to write the entire equation.
x2 - 5x - 24 = 0
Answer:
2x-5x-24=0
-3x-24=0
-3x=24
x=24/-3
x=-8
Answer:
x=x2-24/5
2 −24
Step-by-step explanation:
x2−5x−24=0
Add 5x to both sides. Anything plus zero gives itself.
x
2
−24=5x
Add 24 to both sides.
x
2
=5x+24
5 pennies as a fraction
Answer:
5/100
Step-by-step explanation:
each penny = 1/100
PLssssssssssssss help..
Answer:
141.4
Step-by-step explanation:
i think
sin(A) =
cos(A) =
tan(A) =
m
Step-by-step explanation:
hhHHhUauahhahzh
bBNznn
did you u know that
that ans is i don't khow
Tessellations
Determine whether the following regular polygon tessellates the plane.
Decagon
a. Yes; measure or interior angle = 144
b. no; measure of interior angle = 144
c. yes: measure of interior angle = 36
d. no; measure of interior angle = 36
Please select the best answer from the choices provided
Answer:
B. No; measure of interior angle = 144
Step-by-step explanation:
I calculated it logically
Find the measure of 0. Round answer to the nearest tenth. Pleas help
Answer:
[tex]\theta=36.43^{\circ}[/tex]
Step-by-step explanation:
Given that,
Base = 42
Perpendicular height = 31
We need to find the value of [tex]\theta[/tex]. It can be calculated using trigonometry as follows :
[tex]\tan\theta=\dfrac{P}{B}\\\\\theta=\tan^{-1}(\dfrac{P}{B})[/tex]
Put all the values,
[tex]\theta=\tan^{-1}(\dfrac{31}{42})\\\\\theta=36.43^{\circ}[/tex]
So, the value of [tex]\theta=36.43^{\circ}[/tex].
Robert spun the fair spinner shown below 1,060 times,
About how many times would Robert expect to spin a 1, 3, or 8?
Answer:
About 400 times
Step-by-step explanation:
Given
[tex]n = 1060[/tex]
See attachment for spinner
Required
Determine the number of times an outcome of 1, 3 or 8 is expected
First, calculate the theoretical probability of 1, 3, or 8
This is calculated as:
[tex]Pr = P(1) + P(3) + P(8)[/tex]
The spinner is divided into 8 equal segments and each outcome appears once.
So, we have:
[tex]Pr = \frac{1}{8}+\frac{1}{8}+\frac{1}{8}[/tex]
Take LCM and add
[tex]Pr = \frac{1+1+1}{8}[/tex]
[tex]Pr = \frac{3}{8}[/tex]
So, the expected number of times (E) is:
[tex]E = Pr * n[/tex]
[tex]E = \frac{3}{8} * 1060[/tex]
[tex]E = \frac{3* 1060}{8}[/tex]
[tex]E = \frac{3180}{8}[/tex]
[tex]E = 397.5[/tex]
Approximate
[tex]E = 398[/tex]
This means about 400 times
please help asap!!!!!!
Answer:
m<A = 107
m<B = 73
m<C = 107
m<D = 73
Step-by-step explanation:
2(4x + 1) + 2(5x + 17) = 360
8x + 2 + 10x + 34 = 360
18x + 36 = 360
18x = 324
x = 18
4x + 1
4(18) + 1
73
5x + 17
5(18) + 17
107
what is the volume of the cube I'm confused (look at the picture to see)
Answer: D (64)
Step-by-step explanation:
My answer is correct because, it's showing that 4 is the length, width, and height. So it bassically 4 x 4 x 4 in other words 4 exponent 3. And 4 exponent 3 would equal 64.
Hope This Helps!
If using the method of completing the square to solve the quadratic equation x² - 16x - 38 = 0, which number would have to be added to "complete the square"?
Answer:64
Step-by-Step
Image
Mandy and Jordan each bought some of the same notebook and the same three-ring
binder. Mandy paid $11.20 for 2 notebooks and 2 binders. Jordan paid $10.50 for 3
notebooks and 1 binder. What is the price of one of the notebooks?
Answer:
$11.20 + 2 = 1122 1050 +3 = 1053 hope this help .
Which of these expression is equivalent to 10^5•10^2?
Also the carrot means to the power of so 10 to the power of 5 etc.
Answer:
The answer is C, E
Connor made 16 brownies. He put nuts on 6 brownies. Write
the simplified fraction of the brownies that had nuts.
6/16 = 3/8
hope this helps