Answers
Answer:
There are 16 nickels and 15 dimes.
Step-by-step explanation:
let x = number of dimes
let y = number of nickels
x + y = 31
.1x + .05y = 2.30
Solve x + y = 31 for x
x = 31 - y
multiple the second equation by 100 to eliminate the decimals.
10x + 5y = 230 Substitute 31 - y for x
10(31-y) + 5y = 230 Distribute the 10
310 -10y + 5y = 230 Combine like terms
310 -5y = 230 Subtract 310 from both sides
-5y = -80 Divide both sides by -5
y = 16
There are 16 nickels.
Plug in 16 for y to solve for x
x + y = 31
x + 16 = 31 Subtract 16 from both sides
x = 15
There are 15 times.
Check:
10x + 5y = 230
10(15) + 5(16) = 230
150 + 80 = 230
230 = 230
Related Questions
The coordinates of the vertices of the triangle shown are F(1,9), G(5,6), and H(5,9).
What is length of segment FG in units?
Answers
Please help me im struggling and i need to get to 100%...
Answers
Answer:
Answer is 40
Step-by-step explanation:
literally all you have to do is subtract 70 - 30 = 40
so your answer would be 40 another way is 30 + 40 = 70
just have to see what number would get you to 70 if you did the problem the second way.
Factor: 4c² + 20cd + 81d²
improper answers (with no explantion etc) will be reported immediately ⚠️
Answers
Answer: The expression is not factorable with rational numbers.
Step-by-step explanation:
Use the formula (b/2) to the 2nd power in order to create a new term in order to find the perfect square trinomial. 4c2+20cd+106d2
the perimeter of an isosceles triangle is 34 ft. the length of one side is 14 ft. the length of the two other sides are equal find the length of the other two sides
Answers
Hence, the remaining length of the two sides is 20 feet, and each side is 10 feet. Any questions, leave below.
A water bottle holds 72 ounces of water. How many cups does the water bottle hold? (1 cup = 8 fluid ounces)
Answers
Answer:
The water bottle holds 9 cups of water.
Step-by-step explanation:
1 bottle = 72 oz (ounces) 1 cup = 8 oz (ounces) 1 bottle = ? cups
72 ÷ 8 = 9
9 cups = 72 oz (fluid ounces)
1 bottle = 9 cups
The water bottle holds 9 cups of water.
Here, we have,
given that,
A water bottle holds 72 ounces of water.
so, we get,
1 bottle = 72 oz (ounces)
now, we know that,
1 cup = 8 oz (ounces)
so, we have to find that,
1 bottle = ? cups
we have,
if 8 oz = 1 cup
then, 72 oz = 72/8 cups
i.e. we get,
72 ÷ 8 = 9
9 cups = 72 oz (fluid ounces)
1 bottle = 9 cups.
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QUICKY PLEASE HELP!!!!! Which word does NOT describe any part of the expression 4m - 3?
Answers
Answer:
Step-by-step explanation:
The shaded model represents one whole. Which model represents 3/4 (look at picture)
Answers
Answer: (D)
Step-by-step explanation:
if you look at D the box is divided into 4 different part. And 3 of those parts are shaded. So if 3 out of 4 parts are shaded it would be 3/4.
This because there are four boxes, and only three are shaded in out of the all, which is 3/4.
Please help! Two functions are shown in the table. Which statement is true about the functions shown in the table? Show work.
Answers
The true statement about the function in the table is that slope of m(x) is negative while slope of n(x) is positive
How to find the equation of the values as in the tableThe equation of line in slope intercept form is written as
y = mx + c where m = slope and the y intercept is c
from the table the simultaneous equation is derived and solved as follows
-5/2 = 2m + c
1/2 = 0 + c
hence c = 1/2, solving for m gives
-5/2 = 2m + 1/2
-5/2 - 1/2 = 2m
2m = -3
m = -3/2
hence the slope is negative
for the second the values
1 = 2m + c
-1/3 = 0 + c
c = -1/3
solving for m knowing that c = -1/3
1 = 2m + (-1/3)
1 + 1/3 = 2m
4/3 = 2m
m = 2/3
hence the slope is positive
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1/8 plus 3 1/2
Help I got 29/8 but I don't know if that's correct or if I still have to put the 3
Answers
Answer: 29/8 You were correct. You cannot simplify this problem any further. :)
Step-by-step explanation:
convert to improper fraction and find the common denominator
You are right you have got the answer good job
Drag the tiles to the correct boxes to complete the pairs.
Match the pairs of coordinates with the distances between them.
Answers
The pairs of coordinates should be matched with the distances between them should be matched as follows;
Pairs Distance
(4, 2) and (1, -2) → 5 units.
(-8, 7) and (2, -3) → √200 units.
(9, 1) and (1, 9) → √128 units.
(-2, -6) and (-8, 2) → 10 units.
How to calculate the distance on coordinates?Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
For the ordered pairs (4, 2) and (1, -2), we have;
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance = √[(1 - 4)² + (-2 - 2)²]
Distance = √[(-3)² + (-4)²]
Distance = √(9 + 16)
Distance = √25
Distance = 5 units.
For the ordered pairs or points (-8, 7) and (2, -3), we have;
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance = √[(2 + 8)² + (-3 - 7)²]
Distance = √[(10)² + (-10)²]
Distance = √(100 + 100)
Distance = √200 units.
For the ordered pairs or points (9, 1) and (1, 9), we have;
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance = √[(1 - 9)² + (9 - 1)²]
Distance = √[(-8)² + (8)²]
Distance = √(64 + 64)
Distance = √128 units.
For the ordered pairs or points (-2, -6) and (-8, 2), we have;
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance = √[(-8 + 2)² + (2 + 6)²]
Distance = √[(-6)² + (8)²]
Distance = √(36 + 64)
Distance = √100
Distance = 10 units.
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Describe how you could use a graphing calculator to estimate the value of x when f(x) = 8(1.25)^x equals 15.
Answers
Answer: here
Step-by-step explanation:
8 (1.25) x = 15 8(1.25)^x=15 8 (1.25) x = 15. There are two ways: by using a graph or by using a table. Here, I will use a graph since using a table was already discussed
Using a graphing calculator the value of x is sought by tracing from point 15 up to the curve, at the point of intersection with the curve then trace to the corresponding y direction. At 15 the f(x) is about 227
What is exponential graph?A curve that depicts an exponential function is known as an exponential graph.
The curve have a horizontal asymptote and either an increasing slope or a decreasing slope. this is to say that the curve begins as a horizontal line, increases or drops gradually, and then the growth or decay accelerates. It may or may not cut the x-axis, but it always cuts the y-axis at some point.
An exponential graph will almost always have a y-intercept but not necessarily an x-intercept.
How to read graph of exponential functionsThe corresponding value of each point is located by tracing it using imaginary line
From the x axis at 15 draw an imaginary line up to the curve. the point of intersection of the line and the curve is traced to the y axis. The value at that point gives the required the solution
The graph is attached
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Write an exponential decay function to model each situation. Then estimate the values of x for the given value of f(x).
19. Initial value: 100
Decay function:0.95
f(x) = 60
Answers
The exponential functions have the values of x as;
19) 0.53
20) 5.6
What is the function?We know that when we are told that a function is an exponential decay function, what it means is that the function is decreasing with time. Thus we are going to put a negative sign and the point of the exponential.
Now we have;
19)
Initial value = 100
Decay rate = 0.95
f(x) = 60
Thus;
60 =100e^-0.95x
60/100 = e^-0.95x
0.6 = e^-0.95x
ln(0.6) = -0.95x
x = ln(0.6) /-0.95
x = 0.53
For 20;
Initial factor = 5000
Decay factor = 0.7
f(x) = 100
Thus;
100 = 5000e^-0.7x
100/5000 = e^-0.7x
0.02 = e^-0.7x
ln(0.02) = -0.7x
x = ln(0.02) / -0.7
x= 5.6
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whats the absoulte value of the equation 7 - 12
look on the image its in number 3
Answers
Answer:
For the exercise 3
1)14
2)8
3)18
Answer:
14
Step-by-step explanation:
Anyone know this
The Whittman family took a car trip. They traveled 1/5 the distance from San Antonio to Austin on Monday and 2/9 the distance on Tuesday. What fraction of the distance between San Antonio and Austin did the Whittman family travel on Monday and Tuesday?
Answers
Answer: 19/45
Step-by-step explanation:
1/5 + 2/9 = ?
Find the least common denominator.
which in this case is 45
5 times 9 = 45
Multiply 1/5 by 9/9
Multiply 2/9 by 5/5
9/45 + 10/45= 19/45
You need to find a common denominator between both numbers which is 45. You multiply 1/5 by 9/9 = 9/45 and 2/9 by 5/5 = 10/45. You still need to add both numbers together so 19/45 :)
Select each situation that can represent a proportional relationship.
The price of buying x gallons of gas at $3 a gallon.
The total amount of money a child earns from doing chores when she earns $10 a week for w weeks.
The total amount of weight a kitten gains in w weeks when it gains 4 ounces per week and started at a weight of 6 ounces.
The price of renting a scooter for m miles when it costs $0.75 per mile plus a base fee of $2.50.
Answers
Reason gallons x money=
Week x money =
(-1/3)⁴(-1/3)²
help me please
Answers
Answer:
1/3⁶
Step-by-step explanation:
(-1/3)⁴(-1/3)²
(1⁴/3⁴)(1²/3²)
(1/81)(1/9)
1/729
1/3⁶
hope it helps. Please mark brainliest.
The equation c = 14.25t represents the total cost (c), in dollars, for a certain number of movie tickets (t).
Which table represents the equation?
Number of Tickets Cost (dollars)
0.07 1
0.14 2
Number of Tickets Cost (dollars)
14.25 1
28.5 2
Number of Tickets Cost (dollars)
1 14.25
2 28.50
Number of Tickets Cost (dollars)
1 0.07
2 0.14
Answers
Answer:
C
Step-by-step explanation:
1. define the variables for c and t
c = total cost (in dollars)
t = # of movie tickets
2. draw a table
x: 1,2,3,4,5...
y: 14.25, 28.5, 42.75, 57, 71.25...
Answer:
C
Step-by-step explanation:
Which ratio is equivalent to the unit rate 30miles/1gallon? Explain how the unit rate is transformed into the equivalent ratio.
Responses
A 3gallons/10miles; by dividing the numerator and denominator of the unit rate by 10.3 gallons 10 miles ; by dividing the numerator and denominator of the unit rate by 10.
B 90miles/5gallons; by multiplying the numerator and denominator of the unit rate by 3.90 miles 5 gallons ; by multiplying the numerator and denominator of the unit rate by 3.
C 180miles/6gallons; by multiplying the numerator and denominator of the unit rate by 6.180 miles 6 gallons ; by multiplying the numerator and denominator of the unit rate by 6.
D 6gallons/180miles; by multiplying the numerator and denominator of the unit rate by 2.
Answers
Answer:
C
Step-by-step explanation:
If you divide 180 divided by 30, it will be 6, and 6 divided by 1 is 6.
30 x 6 = 180
1 x 6 = 180
30/1 = 180/6
Your welcome
What is the value of this numeric expression:
19 x 10 to the power of 2
Thank u!
Answers
Answer: 36100
Step-by-step explanation:
19x10
190
190^2
36100
Answer:
If the question is [tex]19 * 10^{2}[/tex], then the answer is 1,900. However, if the question is [tex](19 * 10)^{2}[/tex], then the answer will be 36,100.
Step-by-step explanation:
19 × 10^2= 19 × 100= 1,900
(19 × 10)^2= 190^2= 36,100
The fish Anastasia caught was 0.78 meter long. Sergei's fish was 0.34 meter less than 1 meter long. Which expression shows the difference in the lengths of the fish? can someone help me because i need to know how the equation would look like and not the answer some one help me pleaseee.
Answers
Answer: 0.78-(1-0.34)
Step-by-step explanation
To solve this equation you need to create an algebraic expression.
algebraic expression: mathematical statement with at least 2 terms which can be numbers are variables.
To solve this expression:
1. Take the given info and put it in an equation
0.78-(1-0.34)
Mr. Bell told his students that if they simplified 8 + (2 x 5) x 3 4 ÷ 9, they would find what page number to read for homework. Which page number did Mr. Bell want his students to read?
Group of answer choices
162
18
98
450
Thank u!
Answers
8+10x34/9
18x34/9=68
So i think it is 68
Answer:
98
Step-by-step explanation:
8 + (2 x 5) x 3^4 / 9
= 8 + (10) x 81 / 9
= 8 + 10 x 9
= 8 + 90
= 98
Determine whether the relation is a function
Answers
Answer:
Yes
Step-by-step explanation:
To determine if this is a function we can put the vertical line test into place, in which we'd go from each point and construct a vertical downward, if that line intersects with any given point it is not a function.
In this case it is a function.
it is a function
Jessica is a custodian at Oracle Arena. She waxes 20 \text{ m}^220 m
2
20, start text, space, m, end text, squared of the floor in \dfrac35
5
3
start fraction, 3, divided by, 5, end fraction of an hour. Jessica waxes the floor at a constant rate.
At this rate, how many square meters can she wax per hour?
Answers
Answer:
the answer to part B is 5+7+3x5
Step-by-step explanation:
Answer:
33.33M2 as a decimal and 100/3 M2 as a fraction
Step-by-step explanation:
I had the question on khan academy and got it right when I put it in as a FRACTION
Tamara works for a company that gives her 4 hours of paid vacation time for every 10 days that she works.
How many hours of vacation time will she earn if she works 50 days?
Answers
Answer:20 hours
Step-by-step explanation:
4 hours =10days
y hours =50days
50/10=5
5x4=20
Answer:
Tamara will receive 20 hours of paid vacation time if she works 50 days.
Hope this helps!
Step-by-step explanation:
10 days = 4 hours
10*( 5 ) = 4*( 5 )
50 days = 20 hours
SOMEONE PLEASE HELP!!! I REALLY NEED IT!!! Carrie is creating a painting for art class. The width of the canvas is 5 inches greater than the height of the canvas. Write a simplified equation in terms of h (the height) for the perimeter, p, of the canvas.(Please show works!!!)
Answers
Answer:
the answer is 5h
Step-by-step explanation:
there isnt really out numbers so the answer is just 5h.
i really hope this helped you.
that’s the most you can simplify
Evaluate the expression when z=7
4z-10
-18
-8
-38
-28
Pls answer fast thank u so much!
Answers
Answer:
18
Step-by-step explanation:
z = 7
4z - 10
= (4×7) - 10
= 28 - 10
= 18
Answer:
18
hope you like it
In 2010, the population of a city was 231,000. From 2010 to 2015, the population grew by 5%. From 2015 to 2020, it fell by 3%. To the nearest 100 people, what was the population in 2020?
Answers
Answer:
246.000
Step-by-step explanation:
..............
If you were to create a right triangle on the grid, what would the vertical and horizontal lengths be? Do these lengths match those you found in parts D and E of question 1?
-(Answer for D:)
The greater x-coordinate is 4. So, subtract the lesser x-coordinate, -2, from the greater x-coordinate, 4.
4 − (-2) = 6
Subtracting the lesser x-coordinate from the greater x-coordinate gives a difference of 6. So, 6 is the horizontal length.
-(Answer for E:)
The greater y-coordinate is 1. So, subtract the lesser y-coordinate, -1, from the greater y-coordinate, 1.
1 − (-1) = 2
Subtracting the lesser y-coordinate from the greater y-coordinate gives a difference of 2. So, 2 is the vertical length.
Answers
The vertical length is 2 units and Horizontal length is 6 units.
What is Distance Formula?The distance between two (a, b) and (c, d) is
d= √(c- a)² + ( d- b)²
Given:
Points from graph (-2, 1) and (4, -1)
Using Distance Formula
d = √ ( 4 - (-2))² + (-1 - (-1))²
d= √ 6² + 0
d= 6 units
Vertical Length (-2, 1) and (-2, -1)
Using Distance Formula
d = √ ( -2 - (-2))² + (-1 - (1))²
d= √ 0 + 4
d= 2units
and Horizontal Length (-2, -1) and (4, -1)
Using Distance Formula
d = √ ( 4 - (-2))² + (-1 - (-1))²
d= √ 6² + 0
d= 6 units
Hence, the vertical length is 2 units and Horizontal length is 6 units.
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Can someone help, please
Answers
Answer:
[tex] y = \frac{1}{7}x + 2[/tex]
Step-by-step explanation:
Y-intercept (b) = 2 (Given)[tex]slope \:(m) =\frac{1}{7}[/tex] (Given)Equation of line in slope-intercept form is given as: [tex] y = mx + b[/tex]Plugging the values of slope (m) and y-intercept (b) in the above equation, we find:[tex] y = \frac{1}{7}x + 2[/tex]This is the required equation of line in slope-intercept form.need help on this ons
Answers
Answer:
a
Step-by-step eaxplanation:
First you complete what’s in the parenthesis and then you multiply that answer by -4.2.