Answer:
[tex]63[/tex]
Step-by-step explanation:
Let number of nickels be [tex]x[/tex]
Number of dimes be [tex]y[/tex]
Number of quarters be [tex]z[/tex]
Total number of coins is [tex]185[/tex]
[tex]x+y+z=185[/tex]
Number of dimes is 5 more than quarters
[tex]y=5+z[/tex]
[tex]x+(5+z)+z=185\\\Rightarrow x+2z=180\\\Rightarrow x=180-2z[/tex]
Amount of money in the jar is $25.25
[tex]0.05x+0.1y+0.25z=25.25\\\Rightarrow 0.05x+0.1(5+z)+0.25z=25.25\\\Rightarrow 0.05x+0.5+0.1z+0.25z=25.25\\\Rightarrow 0.05x+0.35z=24.75[/tex]
[tex]0.05(180-2z)+0.35z=24.75\\\Rightarrow 9-0.1z+0.35z=24.75\\\Rightarrow 9+0.25z=24.75\\\Rightarrow z=\dfrac{24.75-9}{0.25}\\\Rightarrow z=63[/tex]
[tex]y=5+z=5+63\\\Rightarrow y=68[/tex]
[tex]x=180-2z=180-2\times 63\\\Rightarrow x=54[/tex]
So, the number of quarters is [tex]63[/tex].
Answer:
63 is the correct answer :)
Step-by-step explanation:
I WILL GIVE BRAINLIEST TO CORRECT ANSWER
-x<-x+7(x-2)
Answer:
x>2
Step-by-step explanation:
0<7x-14
-7x<-14
x>2
hope that's right
Answer:
x > 2
Step-by-step explanation:
-x < -x+7(x-2)
0 < 7(x-2)
0 < x-2
x > 2
(edited)
Two given angles cannot be both...
A. congruent and complementary
B. vertical and congruent
C. adjacent and congruent
D. vertical and adjacent
Please help
Answer:
D
Step-by-step explanation:
It d because D is for dogs
Two given angles cannot be both vertical and adjacent which is the correct answer would be option (D)
What are supplementary angles?The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles. There are two types of supplementary angles.
When two angles are congruent, or equal in size, and they are immediately opposite one another, they are said to be vertical.
Vertical angles do not share a common side, but rather a common vertex or point.
A vertex and a common side are shared by adjacent angles.
Since vertical angles can not have a common side when they are immediately opposite one another, two given angles cannot be both vertical and adjacent.
Hence, the correct answer would be option (D)
Learn more about supplementary angles here:
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Write the inequality this number line represents.
Answer:
[tex]x\leq 2[/tex]
Step-by-step explanation:
Since the bot is filled in it is going to include [tex]\leq[/tex] or [tex]\geq[/tex]
Since the arrow is pointing to numbers below 2, 2 must be bigger. This is the answer:
[tex]x\leq 2[/tex]
find the greatest common factor of the following:
c) 2xy⁵, 6x³y³
d) 6x²y², 9xy³, 3x⁴y⁴
f) 10ab, 20bc, 30ca
Answer:
c
[tex]2x {y}^{3} [/tex]
d
[tex]3x {y}^{2} [/tex]
f.10
Step-by-step explanation:
C. first you have to find the HCF of 2 and 6 then the HCF of
x and
[tex] {x}^{3} [/tex]
and
[tex] {y}^{5} and \: {y}^{3} [/tex]
Then:
[tex]2x {y}^{3} [/tex]
D.first you have to find the HCF of 6 ,9 and 3 then the HCF of
[tex] {x}^{2} \: \: x \: and \: {x}^{4} [/tex]
then the HCF of
[tex] {y}^{2} \: \: {y}^{3} and \: {y}^{4} [/tex]
then:
[tex]3x {y}^{2} [/tex]
F. I'm not sure but 10
if its helpful ❤❤❤❤
THANK YOU.
If each letter represents a different nonzero digit,what must Y be?
A. 7
B. 6
C. 9
D. 8
Answer:
D
Step-by-step explanation:
With only 4 options, I substituted the possible numbers for Y. When substituting Y for 8, the right hand column wrote:
8 - Z = 4
Another way to think of this is 8 - 4 = 4.
When using 8, Z must equal 4.
Take this information to the left hand column.
8 - Z = Z
We know Z equals 4 so plug this information in. Is it correct?
8 - 4 = 4
This is correct.
Therefore, the answer is 8, or D.
Population density is the number of people per unit of area. The population density of a certain region is 50 people per square kilometer. If the region covers 25 square kilometers, what is the population of the region?
Answer:
1250 people
Step-by-step explanation:
Population density = total population / land area
Population density = 50
total population = x
land area 25
50 = x / 25
x = total population = 50 x 25 = 1250 people
Sally rides her bike 164.45 miles in two weeks. She averaged 12.65 miles per hour each time she rode. How many hours did it take her to ride 164.45 miles?
Answer: It took 13 hours by her to ride 164.45 miles.
Step-by-step explanation:
Total distance = 164.45 miles
Average distance traveled = 12.65 miles per hour (speed)
[tex]Time = \dfrac{Distance}{Speed}[/tex]
[tex]Time = \dfrac{164.45}{12.65}=\dfrac{16445}{1265}\\\\=13\text{ hours}[/tex]
Hence, it took 13 hours by her to ride 164.45 miles.
(Who ever answers the question for this lil bear> ʕ •ᴥ•ʔ, gets Brainliest!!)
Sam and Joe are working to solve 6 ÷ 1/4___. Sam thinks the answer is 24. Joe thinks the answer is 1/24. Explain who is correct. Use a model to help explain your thinking
ʕ •ᴥ•ʔ : "You don't have to use a model to help explain your thinking, but I do recommend using one!"
Answer:
Sam is right.
Step-by-step explanation:
Key skills needed: Fraction Modelling, Fraction Division
1) We are given this problem --> [tex]6[/tex] ÷ [tex]\frac{1}{4}[/tex]
2) This means we need to find how many [tex]\frac{1}{4}[/tex]'s are in 6.
3) There are 2 ways to approach this problem
1. The first way is via using the fractional division properties:
Let's say we are given a problem --> [tex]a[/tex] ÷ [tex]\frac{b}{c}[/tex]
This can be made into --> [tex]a[/tex] × [tex]\frac{c}{b}[/tex]
It is a simple property that should be remembered.
This means that [tex]6[/tex] ÷ [tex]\frac{1}{4}[/tex] is the same as [tex]6[/tex] × [tex]\frac{4}{1}[/tex] which is 24.
2. The second way is with using a model (which I am not very good with). The model way is the image I will post.
Hope you understand both ways and have a nice day!! :D
The line shown in the graph passes through the points (2, 4) and (-1, 6). Which is the
equation of the line?
A person invests $485 in an account that earns 2.2% annual interest compounded continuously. Find
when the value of the investment reaches $2,200. If necessary, round to the nearest hundredth.
The investment will be reach $2,200 in approximately ______ years.
Answer:
12 years
Step-by-step explanation:
On the blueprints for a building, 8 inches represents 28 feet. If the blueprints show a distance of 16 inches
between the two walls, how many feet separate the walls?
Answer:
56 feet
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
3x-5y=22 2x+y=6
may you explain how you got the answer
Answer:x=4 y=-2
Step-by-step explanation:
3x-5y=22
3x+1.5y=9
-6.5y=13
6.5y=-13
0.5y=-1
Y=-2
Replace/substitute
2x-2=6
2x=8
X=4
2x+y=6---------(2)
y=6-2x---------(3)
putting value of y on equation
3x-5y=22
3x-5(6-2x)=22
3x-30+10x=22
13x=22+30
13x=52
x=52/13
x=4
putting value of x on equation (3)
y=6-2x
y=6-2.4
y=6-8
y=-2
Janna is buying a cell phone for her business. The regular price of the cell phone is $179. There is a 30% sale on the phone right now. What will be the final price of the phone?
Answer: $125 rounded or $125.3 not rounded
Step-by-step explanation:
Michael has $10 to put in a savings account . He has two options for a saving account : Option 1 will add $ 100 to his account each week . - Option 2 will double the amount in his account at the end of each week . a) Write a function in terms of x to model each option of savings . b) Michael wants to have at least $700 in his account at the end of 7 weeks to buy a mountain bike. Determine which option (s) will enable him to reach his goal. Justify your answer.
Answer:
Option 1:
He starts with $10, and for each week, we add $100
Then his balance as a function of weeks will be:
f(w) = $10 + $100*w
option 2.
Again, we start with $10, and for each week that passes this is doubled, then the equation will be:
g(w) = $10*(2)^w
Now, we want in week w = 7 to have at least $700, then we need to replace w by 7 in both equations and see which one is better.
option 1:
f(7) = $10 + $100*7 = $710
With option 1 he will have enough
option 2:
g(7) = $10*(2)^7 = $1280
Again, he will have more than $700 in week 7, and we can clearly see that this option is better.
Simplify
4x - 3(2 + x) +6y
Answer:
x + 6y - 6
Step-by-step explanation:
Answer:
x+6y-6
Step-by-step explanation:
13 POINTS NEED THE ANSWERS TO THESE 2 PROBLEMS
Answer:
9) 30 years
10) line passing through points AB and BC are perpendicular
Step-by-step explanation:
9) p = 5t + 150
Current pop. (in thousands) is 150
Double pop. (in thousands) is 300
300 = 5t + 150
150 = 5t
t = 30
10) line passing through points AB and BC are perpendicular because their slopes are opposite and reciprocal
slope of AB = 3
slope of BC = -1/3
Which table represents a nonlinear function?
Answer: c
Step-by-step explanation:
A bag of marbles has 5 red, 2 blue, and 3 green marbles. A marble is randomly selected. What is the probability AS A DECIMAL that a blue marble is pulled?
Answer:
0.25 Hope this helps :)
Step-by-step explanation:
You add the 5 red and 3 green
8 Mables besides blue
so that's 2/8
simplified 1/4
1/4=0.25
Mia and holly can clean their room in 20 minutes, working together. Working alone, mia can clean the room in 30. How long would it take holly to clean alone?
Answer: Holly would take 60 minutes to clean alone.
Step-by-step explanation:
Let t = Time taken by Holly to clean alone.
Given: Time taken by Mia to clean alone = 30 minutes
Time taken by Mia and holly to clean their room = 20 minutes
Then,
[tex]\dfrac1t+\dfrac{1}{30}=\dfrac{1}{20}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{20}-\dfrac{1}{30}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3-2}{60}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{60}\\\\\Rightarrow\ t= 60[/tex]
Hence, Holly would take 60 minutes to clean alone.
Find the slope between these two points: (3, 8) and (1, 5).
Answer:
The Slope is 3/2
Step-by-step explanation:
Hope this helps
write an equation of a line that passes through (-4,2) and is parallel to the line y=1/4x+1
Step-by-step explanation:
answer is explained above
PLEASE HELP ME WITH THIS PROBLEM!!!!
Answer:
It is positive 3
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
Any numbers inside the absolute value are always positive, so in this case, 12 is 12, and -15 is 15. Add these numbers to get 27 as your answer.
2x^-2 y^-2 x= 3 and y = –2?
Answer:yes
Step-by-step explanation:
Answer:
1/18.
Step-by-step explanation:
2x^-2 y^-2
x= 3 and y = –2?
Answer is 2(3)^-2 * (-2)^-2
= 2/(3)^2 * 1/(-2)^2
= 2/9 * 1/4
= 2/36
= 1/18.
You need to exchange some of your U.S. Dollars for Australian dollars. For every U.S. Dollar, suppose you get $1.468 in Australian dollarys. If you already have $32.45 in Australian dollars, how much in U.S. Dollars do you need to exchange to have $766.45 in Australian dollars?
Answer: $500
Step-by-step explanation:
You already have $32.45 in Australian dollars. You however want to have a total of $766.45. You therefore need an extra:
= 766.45 - 32.45
= A$734
1 USD gives A$1.468
The USD you will need is:
= 734/1.468
= $500
What is the slope of,
(-2,1) and (5,4)?
Answer:
[tex]\frac{3}{7}[/tex]
Step-by-step explanation:
[tex]\frac{4-1}{5--2}[/tex] =
[tex]\frac{4-1}{5+2}[/tex] =
[tex]\frac{3}{7}[/tex]
Elliot is promoting a concert and needs to print posters to put up around the city. He gets information from two companies on printing costs. APlus Printing charges a setup fee of $20 and 10 cents for each poster printed. PrintMore, a competing company, charges $55.00 for setup and five cents per poster.
How can Elliot determine which plan will be cheaper?
is there a picture or is it only text?
According to the graph, what is the value of the constant in the equation below?
Answer:
36.
Step-by-step explanation:
plug in the numbers. height=constant/width
height=18
width=2
18=×/2
18×2=36 or 36/2=18
Q
A rectangular field is 16m broad
and the ratio of the length and
find the length of the field
breadth is 3:2.
Find the length of the field
What is the measure of an exterior angle of a regular 13-gon?
Step-by-step explanation:
Size of Exterior angle = 360°/n, where n is the number of sides of the regular polygon.
Hence we have 360°/13 = 27.7° (1d.p.)
The measure of an exterior angle of a regular 13-gon is 27.69°.
What is a regular 13-gon?A regular 13-gon is a polygon that has 13 equal sides, 13 equal interior angles, and 13 vertices.
The given polygon is a regular 13-gon.
Therefore, all the exterior angles of this polygon are equal.
We know, each exterior angle of a regular polygon with 'n' sides is
= (360 / n)°
Here, n = 13.
Therefore, the value of each exterior angle
= (360 / 13)°
= 27.69°
Learn more about a polygon here:
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I will give brainliest to the person who solves this
For each graph shown below, select the correct description for slope and y-intercept. In the fourth column, create an equation that can be used to describe the function shown in the graph.
Answer: i dont know
Step-by-step explanation:
Answer:
1.
Slope: Positive
Y-intercept: Positive
y=2x+2
2.
Slope: Positive
Y-intercept: Zero
y=4x
3.
Slope: Positive
Y-intercept: Negative
y=1/2x-5
4.
Slope: Negative
Y-intercept: Positive
y=-1/2x+2