There are 7 dimes and 9 quarters in his pocket.
Let the number of dimes be xLet the number of quarters be yIf there are 16coins in total, hence;
x + y = 16 ......................... 1If hamid has $2. 95 in dimes and quarters, this is expressed as:
0.1x + 0.25y = 2.95 ............... 2From equation 1
x = 16 - y ................. 3Substitute equation 3 into 2 to have:
0.1x + 0.25y = 2.95
0.1(16-y) + 0.25y = 2.95
1.6 - 0.1y + 0.25y = 2.95
1.6 + 0.15y = 2.95
0.15y = 1.35
y = 1.35/0.15
y = 9
Since x + y = 16
x = 16 - y
x = 16 - 9
x = 7
Hence there are 7 dimes and 9 quarters in his pocket.
Learn more on simultaneous equations here: https://brainly.com/question/16863577
It is given that 2(3+x)=6+2x this is e so ample of which property
Answer:
distributive property
Step-by-step explanation:
The distributive property is the one that says a multiplier outside parentheses is equivalent to multiplication of every term inside parentheses.
2(3 +x) = 2(3) +2(x) = 6 +2x
A line of best fit is f(x) ≈ −0.86x + 13.5 for the set of points in the table.
A 2-column table with 7 rows. The first column is labeled x with entries 2, 3, 5, 6, 7, 8, 9. The second column is labeled f(x) with entries 12, 10, 10, 8, 9, 5, 6.
Using the equation for the line of best fit, what is a good approximation for the value of the function, f(x), when x = 18?
−5
−2
3
12
Answer:
-2
Step-by-step explanation:
f(x)≈ -0.86x+13.5
putting x=18 in f(x), we get
f(x)≈ -0.86×18+13.5
⇒ f(x)≈ -15.48+13.5
⇒ f(x)≈ -1.98
⇒ f(x)≈ -2
Answer:B
Step-by-step explanation:
The answer is B also known as -2
Catrina wants to purchase a new bag she found on sale for $68. The bag is originally priced at $80. What is the percent of change in the price of the bag?
Answer: The percent change of the bag is 15%.
Given that D(x) = 2x, select all of the following that are true statements.
D( x) is a direct variation.
O D( x) is a function.
D( X) is a rule for the set of points (5, 10), (6, 12) and (-2,-4).
O xls the dependent variable.
D(6) = 3
Write the equation of the line that is parallel to the line y=−14x−3 through the point (4,4).
Hello there! :)
Parallel lines have the same slope, so if one line has a slope of -14, then the line parallel to it has a slope of -14 as well.
We are also given a point that the line passes through.
That's enough information to find the equation of the line.
First, we write the equation in point-slope form, which looks like so:
y-y1=m(x-x1)
y1 is the y-coordinate of the point, m is the slope of the line and x1 is the x-coordinate of the point.
y-4=-14(x-4)
y-4=-14x+56
y=-14x+60
Hence, that's the equation. Hope it helps.
~A lonely teen who helps others with a smile
-Grace
Good luck.
its math can someone help
Answer:
$2.5/game
Step-by-step explanation:
To find Slope, Change of rate
find two points on the graph
I selected : (4,14) and (8, 24)
Slope: y2-y1/x2-x1
24-14/8-4
10/4
5/2
=2.5
so the rate of change is $2.5/game
HELP please it’s due in a hour
Answer:
5 m, 2 m, 2.5 m, 2 m, 2.5 m, 4 m.
Step-by-step explanation:
First find the length of the 2 missing sides. Remember that the picture is WAY out of proportion, so the sides won't be what they look like.
Since the left side is 4 and the right side is 8 cm, the missing left side is 4 cm.
Since the top side is 5 and the bottom side is 10 cm, the missing top piece is 5 cm.
So the sides starting at the bottom right and going clockwise are 10, 4, 5, 4, 5, 8 cm. Multiply each of these * 0.5 and call them meters.
5 m, 2 m, 2.5 m, 2 m, 2.5 m, 4 m.
WILL GIVE BRAINLY, THANKS, AND 5 STARS
Answer:
C
Step-by-step explanation:
Long division
I hope this helps have a great day :)
Answer:
The answer is the last one
Step-by-step explanation:
Answer:
= 66 R 30
= 66 30/61
4056 divided by 61 equals
66 with a remainder of 30
Solution:
0 0 6 6
6 1 4 0 5 6
− 0
4 0
− 0
4 0 5
− 3 6 6
3 9 6
− 3 6 6
3 0
27 subtracted from a number can be written as?
Answer:
example : 100- 27= 73
Step-by-step explanation:
you take a number and then subtract by the number that you were given. I hope this helps!!
Answer:
27 - x (expression that it can be written as)
To prepare for a bake-off, Kim used 580 grams of flour each day for 2 weeks. How many kilograms did Kim use in those 2 weeks?
1 g = 0.001 kg
Answer:
below
Step-by-step explanation:
1 day = 580g
2weeks(14days)= 580×14g
= 8,120g
1g= 0.001kg
8,120g= 8,120 × 0.001(kg)
=8.12kg
2. The graph represents the amount
of water, y, left in a 13.5-gallon tub
after x minutes. What is the slope of
the line? What does the slope mean
in this context?
Answer:
Slope: -3/2
With the question, we can determine that the slope with two points: (0,13.5) and (9,0). To calculate use the equation [tex]\frac{y2-y1}{x2-x1}[/tex] and get [tex]\frac{0-13.5}{9-0} =\frac{-13.5}{9} =\frac{-3}{2}[/tex]
This slope means that the water is decreasing at a rate of 3/2 gallons per minute.
15% of what is 12? Please
15*X/100=12
15x=1200
X=1200/15
x=80
See attachment for answer and math work.
What's the formula for the area of a triangle?
Answer:
A=hb/2
To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2. Find the area of a triangle where height = 5 cm and width = 8 cm. A triangle is always half the area of a rectangle with the same height and width.
Hey there!
“ What's the formula for the area of a triangle?”
The area of triangle formula is:
A = hbB/2
Whereas “hb” is your “height base” & “b” is your “base”
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Side note:
You can look at the question for an example of what the area of a triangle is
In this diagram, lines AC and DE are parallel and line DC is perpendicular to each of them. What is a reasonable estimate for the length of side DE
The reasonable estimate for the length of side DE is 3 units
Find the diagram of the question attached. The given triangle ABC and BDE are similar triangles.
Using the similarity theorem of a triangle, this is expressed as:
AC = DE
Using the pythagoras theorem to get the length of AC:
AB^2 = AC^2 + BC^2
5^2 + AC^2 + 4^2
AC^2 = 25 - 16
AC^2 = 9
AC= 3
Since AC = DE, hence the reasonable estimate for the length of side DE is 3 units
Learn more on similar shapes here: https://brainly.com/question/14285697
Answer:
5/3
Step-by-step explanation:
Which expression is equivalent to -51 - ( -60 ) ?
A. 51 - 60
B. 60 + 51
C. -60 + ( -51 )
D. -51 + 60
Answer:
C
Step-by-step explanation:
brainliest pls
Hard work problem please help me find the sum
-3 + -2 + -4 = -9
the total is -9
Show all work pls ty (:
In square GEOM, the coordinates of G are (-3, 2) and the coordinates of O are (1, -2). Determine and state the coordinates of vertices E and M.
Answer:
E is (1, 2) and M is (-3,-2),
Step-by-step explanation:
G and O are diagonally opposite points.
E is the image of O in the x axis and M is the image of G in the x axis.
E which is adjacent to M and will have y-coordinate of 2 and x -coordinate 1.
M will have x coordinate same as G which is -3 and y coordinate is -2.
The coordinates of E are (1, 2) and coordinates of M are (-3,-2),
What are Coordinates?The coordinates of a point are referred as (x, y), where x represents the position of the point with reference to the x-axis, and y represents the position of the point with reference to the y-axis.
Here, G and O are diagonally opposite points.
E is the image of O in the x-axis and M is the image of G in the x axis.
E which is adjacent to M and will have y-coordinate of 2 and x -coordinate 1.
M will have x coordinate same as G which is -3 and y coordinate is -2.
Thus, the coordinates of E are (1, 2) and coordinates of M are (-3,-2),
Learn more about Coordinates from:
https://brainly.com/question/15300200
#SPJ2
Is 0.5 x 10^4 = 50,000? or 5,000? PLEASE SOMEONE HELP ME WITH THISS. Just tell me if is one of those!! If you see this help me rn bc i gotta do this rn LOL
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\large\boxed{\mathbf{0.5\times10^4}}\\\large\boxed{\mathbf{= 0.5\times10\times10\times10\times10}}\\\large\boxed{= \mathbf{0.5\times100\times100}}\\\large\boxed{= \mathbf{0.5\times 10,000}}\\\large\boxed{\mathbf{= 5,000}}\\\\\huge\text{Therefore, your answer should be: \boxed{\textsf{5,000}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Solve the equation x^2 – 4x – 31=-2x + 25 to the nearest tenth.
Answer:
x=1+sqr57,1-sqr57
Step-by-step explanation:
Answer:
x = -6.5, x = 8.5
Step-by-step explanation:
The given equation ...
x^2 -4x -31 = -2x +25
can be rewritten to a form that facilitates completing the square:
x^2 -2x = 56 . . . . . add 2x+31
x^2 -2x +1 = 57 . . . add 1 to complete the square
(x -1)^2 = 57 . . . . . write the left side as a square
x -1 = ±√57 . . . . . take the square root
x = 1 ±√57 ≈ {-6.5, 8.5} . . . . . add 1, evaluate
Solutions are near x = -6.5 and x = 8.5.
You are a civil engineer working on the design of a new
green space in your city. The space will include gardens,
playgrounds, and picnic areas. One section of the park will
be in the shape of a right triangle. A diagram of the
requirements for the triangular space is shown below.
2x+2 yards
2x yards
2x+4 yards
1. Explain what you know about the space you will be designing. List at least three pieces
of information. (2 points)
In 2000, the population of a town was 8914. The population is expected to grow at a rate of 1.36% each year.
What is the population of the town in 2006?
Answer:
Approximately 9666 people
Step-by-step explanation:
We can describe this trend as the formula [tex]P=8914(1.0136)^{n}[/tex] where [tex]P[/tex] is the population of the town [tex]n[/tex] years after 2000.
Therefore, the population of the town in 2006 will be [tex]P=8914(1.0136)^{6}\approx9666[/tex]
–A – 22 = –2A – 30
pls
Answer:
A= -8
Step-by-step explanation:
-A - 22=-2A-30
+2A +22
A = -8
The quadratic function g(x)=ax^2+bx+c has the complex roots (10+i) and (10-i). You may assume that a=1.
What is the value of b?
What is the value of c?
The values are [tex]b=-20\text{ and }c=101[/tex]
The quadratic function, expressed in factored form is
[tex](x-(10+i))(x-(10-i))=g(x)[/tex]
Expanding and simplifying
[tex]g(x)=(x-(10+i))(x-(10-i))\\=x^2-x(10-i)-x(10+i)+(10+i)(10-i)\\=x^2-10x+xi-10x-xi+100-i^2\\=x^2-10x-10x+100+1\\=x^2-20x+101[/tex]
since
[tex]g(x)=ax^2+bx+c=x^2-20x+101[/tex]
we can equate coefficients of like-terms and conclude that
[tex]a=1,b=-20,c=101[/tex]
Learn more about quadratic equations here: https://brainly.com/question/12995618
Brainliest for free
JK
Solve the inequality d + 6 < 13 for d.
Answer:
[tex]\huge\boxed{\sf d < 7}[/tex]
Step-by-step explanation:
Given inequality is:
d + 6 < 13
Subtract 6 to both sides
d < 13 - 6
d < 7
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807What is the value of q in the equation 49 - 2 = 39+8?
q
=
10
0 -
7
10
7
06
0 10
Answer:
The is no "q" in the equation provided. If there is supposed to be, please add it. Otherwise, q is undefined. It can have any value. I choose 0.
Step-by-step explanation:
There are 70 students in the school band. 40% of them are sixth graders, 20% are seventh graders, and the rest are eighth graders.
1. How many band members are sixth graders?
band members
2. How many band members are seventh graders?
band members
3. What percentage of the band members are eighth graders?
Answer:
1=28 students 2=14students 3=40%
Step-by-step explanation:
1. 70 students = 100%
7 students = 10%
28 students = 40%
28 students are sixth graders!
2.70 students = 100%
7 students = 10%
14 students = 20%
14 students are seventh graders!
3.Percentage of band that is eighth graders: 40+20=60% 100%-60%=40%
40% are eighth graders!
A runing track is 400m long. Carrie runs wight laps. How far is this in kilometres.
Multiply length of track by number of times run:
8 x 400 = 3,200 meters
1 km = 1000 meters
3200 meters / 1000 = 3.2 kilometers
Answer: 3.2 kilometers
mai has 36$ to spend on movie tickets each movie ticket cost 4.50$ how many ticket can she buy multiplication problem
Answer:
8
Step-by-step explanation:
Mai has $36 and each movie ticket is $4.50.
You wanna divide 36 by 4.50 to find out how much tickets she can purchase which is 8.
What type of triangle is this?
6
3
8
acute
obtuse