There are 107 coins in a jar, all dimes and nickels. The coins are worth $6.70. How many of each kind of
coin is in the jar?
d = number of dimes
n = number of nickels
The jar contains a total of 107 coins, so
d + n = 107
Each dime is worth $0.10 and each nickel is worth $0.05, and the jar contains a total value of $6.70, so
0.10d + 0.05n = 6.70
Multiply both sides of the second equation by 100 to eliminate the decimal points:
10d + 5n = 670
Multiply both sides of the first equation by -5:
-5d - 5n = -535
Add the corresponding sides of these two equations to eliminate n and solve for d :
(10d + 5n) + (-5d - 5n) = 670 + (-535)
(10 - 5)d + (5 - 5)n = 670 - 535
5d = 135
d = 135/5 = 27
Then
n = 107 - d = 80
so the jar contains 27 dimes and 80 nickels.
A rectangle has an area of 18 cm², with a perimeter of 18 cm. Find the length and breadth
of the rectangle
Answer:
suppose length is x
breadth is y
now,
x.y=18
2(x+y)= 18
x= 3
y=6
Step-by-step explanation:
Mr. Burns organized the grades for 11 students in the boxplot below. None of the students earned the same grade. What percent of grades are between 79 and 84?
A. 100%
B. 25%
C. 50%
D. 75%
Answer:
C
Step-by-step explanation:
Answer: 25%
Step-by-step explanation: Sorry this is late
Can someone please check if it’s correct??
Answer:
these both are ture
Step-by-step explanation:
х
4.8 ft
6.5 ft
3.8 ft
The illustration models a shadow cast by a palm tree and the shadow of an individual at 5 o'clock each day. To the nearest tenth,
how tall is the palm tree?
Answer:
8.2FT
Step-by-step explanation:
Answer:
The answers 8.2!!
Step-by-step explanation:
I just guessed on the usatestprep and got it lol
after a teacher handed out m packs of notebooks with c notebooks in each pack
Answer:
M/C
Step-by-step explanation:
So you divide the number of notebooks handed out (m) by the number of notebooks per pack (c) to get the number of packs.The number of packs is m/c
7. In a bay the time between high tide and low tide is approximately 6 hours. The first low tide is at 7 a.m. followed by a hide tide at 1 p.m. The depth of the water in the bay at low tide is 5 fathoms which rises to 9 fathoms at high tide. a) Sketch a graph of the depth of the water in the bay over time. Start your graph at 7 a.m. and graph at least on complete cycle. b) Write a function equation for your curve. Let t represent the number of hours after 7 a.m. c) How deep will the water be at 11 a.m?
THIS IS MS NEISES PLEASE SEE ME AFTER CLASS
THIS IS MS NEISES I AM REALLY MS NEISES
16x2-1
O A. (2x - 1)(8x - 1)
O B. (4x - 1)(4x + 1)
O C. (2x - 1)(8x + 1)
O D. (4x - 1)(4x - 1)
Help
Answer:
D is the answer (4x - 1)(4x + 1)
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
Two different counting numbers from 1 to 10 were randomly chosen. What is the probability that the larger one is a multiple of the smaller one?
Answer:
7/10
Step-by-step explana
7/10 was the answer
Answer:
7/10
Step-by-step explanation:
Tom's earnings vary directly with the number of hours he works. Suppose that he worked 9 hours yesterday and earned $126. How much will he earn today if he works 8 hours?
If the midpoint of the line segment is AB has coordinates (3, -1) and A (-5,0) then:
B=
in science class vicky did an experiment with an unknown soild. she started with 21 grams of the solid. During the experiment , the change in the mass of the solid was -4 grams. what was the final mass of the solid ?
Answer:
17 grams
Step-by-step explanation:
21grams-4=17grams
Answer:
17 grams
Step-by-step explanation:
Since the starting mass was 21 and the change was -4, you would do 21-4, which gives you 17 grams (or the final mass).
can someone help please ill give Brainlist
Answer:
-1/3
Step-by-step explanation:
The common difference is how much it goes up by with each new number, so you can see that each time it goes down by 1/3. This means that the common difference is -1/3.
What is the area of this shape?
A. 42 cm squared
B. 35 cm squared
C. 26 cm squared
D. 14 cm squared
Answer:
A. 42 cm²
Step-by-step explanation:
Rectangle Area: lw
Put the measurements into the expression
(7)(5)
7•5 = 35
Triangle Area: 1/2bh
1/2(7)(2)
1/2(14)
7
Add them together: 35 + 7 = 42 cm²
help asap!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
8 sq un, and 9 sq un
Step-by-step explanation:
Explain why this common mistake is wrong. Many people might say that (2, 4) is an intercept of the equation 5x + 2y = 18.
Answer:
Step-by-step explanation:
(2,4) is point lying on the line represented by 5x + 2y = 18.
They are not intercepts.
x-intercept is point where the line crosses the x-axis and so, y-co ordinate at x-intercept is 0.
y-intercept is point where the line crosses they-axis and so,x-co ordinate at y-intercept is 0.
5x + 2y = 18
To find x-intercept, put y = 0 in the equation
5x = 18
x = 18/5
x = 3.6
To find y-intercept, put x = 0 in the equation
2y = 18
y = 18/2
y = 9
x-intercept : (3.6 , 0)
y-intercept :(0, 9)
QUICK PLEASE!!!
answer this question and show work or have an explanation.
Answer:
70
Step-by-step explanation: Triangle angle sum theorem states the interior angles of a triangle sum to 180 degrees. We know one angle is 40 degrees and the two remaining angles are equal in measure.
Since angle J and angle L are equal in measure we can substitute 2x for angles J and L into the equation.
40 + 2x = 180. Subtract 40 from both sides.
2x = 140. Divide both sides by 2.
X = 70
Help me on this because I am so confused
You deposit $150 into an account with an interest rate of 3%. After 5 years, how much interest have you earned?
if u earned $150 and had a rate of 3% if u add thise up u get $450 plus the 5 years you will have $950 i thonk that this is the right answer i dont really know
Which function is equivalent to y=3(x−2)^2+6?
y=3x^2−12x+30
y=3x^2+10
y=3x^2−4x+10
y=3x^2−12x+18
I want the answer fast plz
Answer:
y=-x/3+2
Step-by-step explanation:
If you graph out 3x-y-7=0, you will get a line that goes through the points (0, -7), and about (2.3, 0). If you graph out y=x/3+2, you have to make sure that this line forms a 90 degree angle on the previous line, thus making this line perpendicular to the previous line.
What is the quotient of 2.262 and 0.13? Select one: A. 11.5 B. 12.3 C. 15.9 D. 17.4
Mark works 24 hours a week and earns £11.63.
Calculate Mark's weekly basic pay and then find his annual salary
Weekly pay = amount per hour x number of hours:
24 x 11.63 = 279.12
Annual salary = weekly pay x 52 weeks:
279.12 x 52 = 14,514.24
Please help
Find the are of the trapezoid given the following
9514 1404 393
Answer:
A = 8x³ +4x² -4x
Step-by-step explanation:
Put the given values into the area formula and simplify.
[tex]A=\dfrac{1}{2}h(b_1+b_2)\\\\A=\dfrac{1}{2}(4x)((x^2+2)+(3x^2+2x-4))\\\\A=(2x)(4x^2+2x-2)\\\\\boxed{A=8x^3+4x^2-4x}[/tex]
a circular park has a circumference of 36 yd. find its diameter
Answer:
412.53 inches
or
11.45916 yards
Step-by-step explanation:
Answer: 11.46yd
Step-by-step explanation:
The formula for the circumference is dπ.
So using the formula you would have to do the inverse so 36/π=11.46 (2 decimal places)
I need help with this please
Answer:
polygons
Step-by-step explanation:
this is a hexagon so the sum of interior angles is 720. so add all of those angles and expressions and set it equal to 720. collect like terms and solve for x
once you have x, evaluate and get the exact angle measurements.
HELPPP PLEASEEEEE
Which graph shows the solution for the system of equations?
y = 5x +4
y = 5x - 2
The endpoints of a line segment are (–1, 6) and (8, 6). What is the length of the line segment?
A.
2 units
B.
7 units
C.
9 units
D.
12 units
Answer:
c. 9 units
Step-by-step explanation:
What is the value of y in the parallelogram below?
5y"
654
O A. 110
O B. 60
O c. 13
D. 23
Answer:
D. 23
Step-by-step explanation:
5y = [360 - (65 x 2)] / 2
5y = [360 - 130] / 2
5y = 230 / 2
5y = 115
y = 23
Hope that helps!
What story does the graph tell about the turtle's
journey?
Need fast