Answer:
15
Step-by-step explanation:
15 is half of 30, the output values are the input values divided by 2 :)
A).18
B.)20
C.)24
D.)25
Nicole has x dimes and y nickels. She has at least 15 coins worth a maximum of $1
combined. Solve this system of inequalities graphically and determine one possible
solution.
Answer:
Step-by-step explanation:
[tex]X + Y \geq 15\\\\10X + 5Y \leq 100[/tex]
we want to put it into terms of Y
[tex]y \geq 15 - x\\and\\5y \leq 100 - 10x\\y \leq 20 - 2x[/tex]
the graph is in the attached image. Any point in the shaded overlap region where x is greater than or equal to 0 (assuming you cannot have negative coins) works, e.g. (2, 14)
The solution of the inequalities is required.
One of the solutions is [tex](5,10)[/tex]
Number of dimes is [tex]x[/tex]
Number of nickels is [tex]y[/tex]
Minimum number of coins is 15.
So, [tex]x+y\geq 15[/tex]
Maximum total value of the coins is $1
So, [tex]0.1x+0.05\leq 1[/tex]
The equations are
[tex]x+y=15[/tex]
[tex]0.1x+0.05y=1[/tex]
Points of the first equation
[tex](0,15)[/tex] and [tex](15,0)[/tex]
Graph the points and draw a line through them.
Points of the second equation
[tex]x=0[/tex]
[tex]y=\dfrac{1}{0.05}=20[/tex]
[tex]y=0[/tex]
[tex]x=\dfrac{1}{0.1}=10[/tex]
[tex](0,20)[/tex] and [tex](10,0)[/tex]
Graph the points and draw a line through them.
The shaded regions can be determined by substituting the point in the equations.
One of the solutions is [tex](5,10)[/tex]
This means there are 5 dimes and 10 nickels.
[tex]5+10=15\geq 15[/tex]
[tex]0.1\times 5+0.05\times 10=1\leq 1[/tex]
Hence, one of the solutions is [tex](5,10)[/tex].
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Please helpppp 90 POINTS
Answer:
2nd option; y = 1/5x + 12/5
Step-by-step explanation:
Take a look at the attached file for the explanation.
Step-by-step explanation:
answer is 1/7 and 6/8 = 55/76
Match each number with its place in order from smallest (1st) to largest (6th).
1. 6th
-84
2. 4th
-80
3. 3rd
90
4. 1st
-56
5. 2nd
48
6. 5th
59
can anyone help me with this please
I’m so confused someone please help!
Answer:
Step-by-step explanation:
7x - 42 + 5x = 180 {linear pair}
7x + 5x - 42 = 180 {Combine like terms}
12x - 42 =180
12x = 180 + 42
12x = 222
x = 222/12
x = 18.5
5x = 5*18.5 = 92.5
7x - 42 = 7*18.5 - 42 = 129.5 - 42 = 87.5
Line AB contains points A(4, 5) and B(9, 7). What is the slope of AB? in/n win 0 Nin inn?
Answer:
2/5
Step-by-step explanation:
you have to do slope formulation which is y2 minus y1 over x2 minus y1
Answer:
C: 2/5
Step-by-step explanation:
how because its me i'm always right
Courtney belongs to a health club that charges a monthly fee of $20, plus $85 to join. Write a function to represent her costs. How much has she paid after six months?
Answer:
Step-by-step explanation:
20x+85=
20(6)+85=
120+85= $205
Solve the simultaneous equations
x + 6y = 20
x + 3y = 14
x =
Y=
Answer:
x = 8, y = 2
Step-by-step explanation:
Multiply the second equation by -2:
x + 6y = 20
-2x - 6y = -28
Add the equations and simplify:
-x = -8
x = 8
Plug x = 8 back into the first equation and solve for y:
8 + 6y = 20
6y = 12
y = 2
Answer:
x=8
Y=2
or
(x,y)=(8,2)
Step-by-step explanation:
x+6y=20
x+3y=14
solve the equation for x
x+6y=20
x=14-3y
substitute the given value of x into the equation
x+6y=20
14-3y+6y=20
14+3y=20
3y=20-14
3y=6
3y/3=6/3
y=2.
substitute the given value of y into the equation
x=14-3y
x=14-3×2
x=14-6
x=8.
the possible solution of the system is the ordered pair (x,y)
(x,y)=(8,2)
or
x=8
Y=2
Proof:
Check if the given ordered pair is the solution of the system of equations
8+6×2=20
8+3×2=14
simply the equalities
20=20
14=14
since all of the equalities are true, the ordered pair is the solution of the system
(x,y)=(8,2)
Complete the statement that explains how to compare 0.4 and 0.12.
I know that 0.4 is
than 0.12 because
is greater than
less
greater
Answer:
0.4 is 40 percent of something because 100 percent is 1 x something. On the other hand, 0.12 is 12 percent of something because 0.12 x something will get you 12 percent of the value. Therefore, 0.4 is 40 percent of a thing while 0.12 is 12 percent of a thing and 0.4 is bigger than 0.12
Step-by-step explanation:
Answer:
0.4 is 40 percent of a thing while 0.12 is 12 percent of a thing and 0.4 is bigger than 0.12
Step-by-step explanation:
0.4 is 40 percent of something because 100 percent is 1 x something. On the other hand, 0.12 is 12 percent of something because 0.12 x something will get you 12 percent of the value.
PLEASE SOMEONE ANSWER
I would say -2
Step-by-step explanation:
Karen picked apples at the Carter Apple Orchard this weekend. She made a graph to show how many apples she picked.
=
2
apples
=2 apples
Granny SmithGalaFijiRomePink LadyNumber of applesApple Type
Karen ate
5
55 Fiji apples and dropped
4
44 Gala apples.
After Karen ate and dropped those apples, which two types have the same number of apples?
Choose 2 answers:
Choose 2 answers:
(Choice A)
A
Pink Lady
(Choice B)
B
Rome
(Choice C)
C
Fiji
(Choice D)
D
Gala
(Choice E)
E
Granny Smith
Answer:
Choice C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Write the equation of the line, in slope-intercept form, with the
following information:
slope: -2
point: (5,-4)
Answer:
Step-by-step explanation:
y + 4 = -2(x - 5)
y + 4 = -2x + 10
y = -2x + 6
Find the equation for a line passing through (2,1) and (0,4). (standard form) Will give Brainliest
Example 1: Find the equation of the line passing through the points (–1, –2) and (2, 7).
Step 1: Find the slope of the line.
To find the slope of the line passing through these two points we need to use the slope
formula:
Step-by-step explanation:
use this on your problem
PLEASE HELP ME!!!!!!!!! 75/w=150/100
Answer:
The answer is 75/50
Step-by-step explanation:
Answer:
75/W = 150/100
75/W = 3/2
W x 75/W = W x 3/2
75 = 3W/2
2 x 75 = 2 x 3W/2
150 = 3W
so the answer should be 50 = W
The members of a crew team can weigh no more than 165 pounds each. Write an INEQUALITY for the acceptable weights. Graph the solutions.
Answer:
shut up b
sorry gad will elp you
Step-by-step explanation:
How many more cubic inches of juice will cup B hold than cup A when both are completely full? Round your answer to the nearest tenth.
18.8 cubic inches
21.2 cubic inches
28.2 cubic inches
49.5 cubic inches
Answer: option b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Which compound inequality has no solution?
x > 2 and 3x ≤ 9
x > 1 and 2x ≤ –2
x > –1 and 4x ≥ –8
x > –2 and 5x ≥ 15
Answer:
b
Step-by-step explanation:
Answer:
The guy above me its right its B.
Step-by-step explanation:
Just did the quiz and got it right
Which of the following fractions is equivalent to 2:11?
A.
3/11
B.
2/12
C.
2/11
Answer:
Step-by-step explanation:
Step 1:
2 : 11 Ratio
Having a ratio is the same thing as dividing so if you divide 2 by 11 you get 2/11.
Step 3
2 ÷ 11
Answer:
C. 2/11
Hope This Helps :)
If a cyclist rides at a constant rate of 24 miles per hour, how long would it take the cyclist to ride 120 miles?
Answer:
5 hours
Step-by-step explanation:
24miles = 1hour
120miles = x
120*1=120/24
=5hours
PLEASE HELPP!!! DUE IN 1 HOUR!!! I NEED SOME HELPPPP!! WILL GIVE BRAINLIEST TO PERSON WITH BEST ANSWER
Use the values x=4,0,5 to verify your solution to the equation 5+x-12=x-7. In your final answer, include all of your calculations.
Answer:
Down there! Idk if it was what your looking for but this is what I got..
Step-by-step explanation:
(-∞,∞)
Step-by-step explanation:
PART A:
given
This is true for all values of x.
So,x∈-∞,+∞
PART B:
When ,left hand side=
right hand side=
so,left hand side =right hand side
When ,left hand side=
right hand side=
so,left hand side =right hand side
When ,left hand side=
right hand side=
so,left hand side =right hand side
Answer:
5+4-12=4-7 9-12=4-7 -3= -3
5+0-12=0-7 5-12=0-7 -7= -7
5+5-12=5-7 10-12=5-7 -2= -2
Step-by-step explanation:
Expand and simplify
(7 + V6 )^2
Answer:
36V²+84V+49
Step-by-step explanation:
since it is (7+6V) in two places,therefore
7(7+6v)+6v(7+6v)
49+42v+42v+36v²
36v²+84v+49
In the figure below, what is the value of x if angles m and n are congruent?
We want to find the measure of x given that we know that m and n are congruent.
The measure of x is 116°.
Two angles are congruent if they have the same measure.
Then we have ∠n = ∠m
We also know that the sum of all interior angles of a triangle is equal to 180°, then if we look at the smaller triangle we have that:
114° + ∠n + ∠m = 180°
∠n + ∠m = 180° - 114° = 66°
Knowing that these measures are equal we can write:
2*∠m = 66°
∠m = 66°/2 = 33°
Now that we know the measure of m, we can do the same thing for the larger triangle:
∠x + ∠m + 31° = 180°
∠x + 33° + 31° = 180°
∠x = 180° - 64° = 116°
The measure of x is 116°.
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Applying the exterior angle theorem and the sum of triangles, the value of x in the figure is: [tex]\mathbf{x = 64^{\circ}}[/tex]
Recall:
Sum of triangles = 180 degrees
Exterior angle = sum of two interior opposite angles
Since we know that angles m and n are congruent, therefore:
[tex]m = \frac{1}{2} (180 - m \angle RTU)[/tex]
Substitute[tex]m = \frac{1}{2} (180 - 114)\\\\\mathbf{m = 33^{\circ}}[/tex]
Find x (exterior angle of triangle SUV):
[tex]x = 31 + m[/tex] (exterior angle of a triangle theorem)
Substitute[tex]x = 31 + 33\\\\\mathbf{x = 64^{\circ}}[/tex]
Therefore, applying the exterior angle theorem and the sum of triangles, the value of x in the figure is: [tex]\mathbf{x = 64^{\circ}}[/tex]
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PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:1/4+m= 2/3
Step-by-step explanation:
Plz brainliest and extra points!
I’m almost an expert!!
y varies inversely with x if y = 7 when x =-4, find y when x = 5
Answer:
y = - [tex]\frac{28}{5}[/tex]
Step-by-step explanation:
Given y varies inversely with x then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k use the condition y = 7 when x = - 4, then
7 = [tex]\frac{k}{-4}[/tex] ( multiply both sides by - 4 )
- 28 = k
y = [tex]\frac{-28}{x}[/tex] ← equation of variation
When x = 5 , then
y = [tex]\frac{-28}{5}[/tex] = - [tex]\frac{28}{5}[/tex]
Cheyenne is deciding between the ways she has to buy music. Albums on CD cost $13 but downloads of an album only cost $10. If she can spend up to $150 on music purchases, which of these expresses her purchasing restrictions when she buys c CDs and downloads d albums?
Answer:
G
Step-by-step explanation:
The expression that expresses her purchasing restrictions is:
13c + 10d = 150.
What is an expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given, Cheyenne is deciding between the ways she has to buy music. Albums on CD cost $13 but downloads of an album only cost $10. If she can spend up to $150 on music purchases.
Let "c" be the CDs she bought
and "d" be the albums she downloads
Price of total CD = 13c
price of total download = 10d
Thus, an equation that satisfies the situation:
13c + 10d = 150
therefore, Her purchasing limitations are expressed in the following way:
13c + 10d = 150.
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#SPJ3
whats 4 1/12-1/2 ASAP PLEASE
Answer:
4
Step-by-step explanation:
4 1/2 - 1/2
4
You start with 4 + 1/2 but you subtract 1/2 so it just cancel's itself out leaving you with 4.
Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. Stay safe and please mark brainliest! :)
Answer:
[tex]3 \frac{7}{12}[/tex]
Step-by-step explanation:
1 - multiply the 1/2 out to make the denominators the same (Ignore the 4 for now)
To make 2 equal 12 you multiply by 6 and what you do to the bottom you do to the top.
[tex]\frac{1}{2}(\frac{6}{6}) = \frac{6}{12}[/tex]
2 - Now solve
Now we need to know what 4 1/12 - 6/12 equals.
1-6 is -5 so we will take out of the whole number to continue this subtraction
3 12/12 - 5/12
After subtracting that out we're left with
3 7/12
Hope this helps :)
Simplify. Express your answer using exponents.
(5m^2n^8)^3
Answer: _
Answer:
125m^6n^24
Step-by-step explanation:
When exponents are raised by another exponent, they are multiplied
2 x 3 = 6
8 x 3 = 24
5^3 = 5 x 5 x 5 = 125
Answer:
hi! thanks for free points!
Step-by-step explanation:
A water park sells
168
168 tickets. Each ticket costs
$
12
$12. What is the total cost of the tickets sold?
Answer:
168x12 and u get ur answer
Step-by-step explanation:
just do 168x12
if it sells 168 tickets and each is $12, then:
12 x 168 = 2,016
total cost = $2,016
In 1980, the population of a town was 2000 people. The exponential function P(t)=2000(1.05)t models the population of the town since 1980. Which statements are true regarding the population of the town? Select THREE that apply.
A.
The population has increased by 5% each year since 1980.
B.
The population has increased by 105% each year since 1980.
C.
The population has increased by 5 people each year since 1980.
D.
Each year since 1980, the population is 105% of the population of the previous year.
E.
Each year since 1980, the population is 1.05 times the population of the previous year.
Answer:
B. The population has increased by 105% each year since 1980.
D. Each year since 1980, the population is 105% of the population of the previous year.
E. Each year since 1980, the population is 1.05 times the population of the previous year.
Step-by-step explanation:
From the question, we are given the exponential function:
The exponential function P(t)=2000(1.05)^t models the population of the town since 1980.
Exponential growth rate =
P(t) = P(1 + r)^t
Where r = growth rate in percentage
P(t) = Size of the population after t years
t = time in years
Hence,
From the formula above, we can say =
1 + r = 1.05
r = 1.05 - 1
r = 0.05
Converting to percentage = 0.05 × 100 = 5%
1.05 can also converted to percentage and this = 1.05 × 100 = 105 %
The population has increased by 105% each year since 1980.
Hence, Options, B, D and E is correct
WHICH TABLE IS A FUNCTION?
TABLE A
TABLE B
NEITHER
BOTH
Answer:
I honestly think its neither