Answer:
The system of equation to determine the quantity of nickels and quarters is simultaneous equation.
Nickels = 17
Quarters = 22
Step-by-step explanation:
Given
Let n represent number of nickels
Let q represent number of quarters
From line 1 of the question, we understand that
Total coins = 39
So, n + q = 39 because the made up of the nickels and the quarters
It's also stated that the total value of these 39 coins is $6.35.
First, it should be noted that
1 nickel is worth 0.05 and 1 quarter is worth 0.25, we can represent the total value of the coins with the following equation
0.05n + 0.25q = 6.35
At this point, we have two equation such can be solved simultaneously
n + q = 39 ------- (1)
0.05n + 0.25q = 6.35 ------- (2)
So, the system of equation to determine the quantity of nickels and quarters is simultaneous equation.
Solving further.....
Make q the subject of formula in equation (1)
q = 39 - n
Substitute 39 - n for q in equation 2
0.05n + 0.25q = 6.35 becomes
0.05n + 0.25(39 - n) = 6.35
0.05n + 9.75 - 0.25n = 6.35
Collect like terms
0.05n - 0.25n = 6.35 - 9.75
-0.2n = -3.4
Divide through by -0.2
-0.2n/-0.2 = -3.4/-0.2
n = 17
Recall that q = 39 - n
Substituton 17 for n in this equation
q = 39 - 17
q = 22
Hence, there are 17 nickels and 22 coins
Find the product.
2y2(3x+52)
Answer:
this might be it : 12xy+228y
Step-by-step explanation:
you multiply 2 by 3 and get 6 and then multiply by 2 again and add they y
and then multiply 52 by 2 and gte 104 and them multiply by 2 and get 228 and add they y
Answer:
6xy² + 10y²z
Step-by-step explanation:
I did it and I got it right
PLEASE HELP ASAP
Select the correct answer from the drop-down menu.
Find the polynomial.
{5} is the solution set of
Reset
Next
Answer:
the third one down is the answer
Option C is correct, x² - 10x + 25 = 0 is the polynomial for the solution set of {5}.
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
The polynomial with a solution set of {5} for the equation
x²-5x+25=0
x is the variable of the given polynomial
We know that (a-b)²=a²+b²-2ab
x²-5x+25 can be converted to (x-5)²
(x-5)² = 0
Expanding the square, we get:
x² - 10x + 25 = 0
Hence, x² - 10x + 25 = 0 is the polynomial for the solution set of {5}.
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True or false 6/10 is equivalent to 0.60.
Answer:
Yes. 1/10 is equal to 0.10. So 6/10 is equal to 0.60.
Point R was rotated about the origin (0,0) by 90° clockwise.
Which figure is the image of R?
The mapping rule for a 90° clockwise rotation is (x, y) → (–y, –x), so R ( 2, -5) becomes (-5, -2).
Answer:Point C is the image of R.
The point C is the image of R.
Here,
Point R was rotated about the origin (0,0) by 90° clockwise.
We have to find the image of R.
What is 90 degree Clockwise rotation?
To rotate the figure 90 degrees clockwise about a point, every point (x,y) will rotate to (y, -x).
Now,
By figure;
Point R is ( 2, -5 )
Now, Point R was rotated about the origin (0,0) by 90° clockwise.
The image of point (x, y) = (y, -x)
Hence, the image of R = (-5, -2 ) = Point C
So, by graph;
Point C is image of Point R.
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Which step should be used to find the value of n?
2.3n = 10.35
A.
multiply both sides by 2.3
B.
add 2.3 to both sides
C.
subtract 2.3 from both sides
D.
divide both sides by 2.3
68 is 17% of what number?
Enter
Answer:
400
Step-by-step explanation:
Is means equals and of means multiply
68 = 17% * what number
Change to decimal form
68 = .17 * what number
Divide each side by .17
68/.17 = .17/.17 what number
400 = what number
The number is 400
68 is approximately 17 percent of 400.
To find out what number 68 is 17% of, we can use the following formula:
(17 / 100) x = 68
Let's solve for x:
(17 / 100) x = 68
To isolate x, we can multiply both sides of the equation by (100 / 17):
x = (68 × 100) / 17
x ≈ 400
Therefore, 68 is approximately 17% of 400.
To understand this calculation, think of the percentage as a proportion or ratio. In this case, we are trying to find the ratio of 68 to the unknown number. The result, 0.17, represents how much of the unknown number 68 comprises. By multiplying this ratio by the unknown number, we obtain the value of x, which is approximately 400. Thus, 68 is roughly 17% of 400, indicating that 68 represents 17% of the value 400.
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Add.
(8y + 6) + (4y + 5)
Submit
Answer:
12y + 11
Step-by-step explanation:
To add them you would add like terms. That means you would add those with y together and those without together.
8y + 4y + 6 + 5 = 12y + 11
If you want to solve for y, subtract 11 from both sides then divide both sides by 12.
Answer:
Step-by-step explanation:
hello :
(8y + 6) + (4y + 5)=12y+11
Apollo traveled 84 leagues in 6 days. Then he doubled his rate. How long would it take him
at this new speed?
Answer:
168 leagues in 12 days
Step-by-step explanation:
84 : 6
if doubled, 6 x 2 = 12 and 84 x 2 = 168
168 : 12
I’m stuck on this I need the correct answer ASAP !
Answer:
S is the center of the circle shown below. The correct answer choice is A.
Step-by-step explanation:
Find the area of a circle with a
circumference of 11(3.14) feet.
Answer:
Approximately: 9.63
Step-by-step explanation:
What is the median of the following data 2,3,1,1,0,4
Answer:
1.5
Step-by-step explanation:
0,1,1,2,3,4 - rearrange in order
2+1=3
3/2=1.5
I hope this helps!
Answer:
1.5
Step-by-step explanation:
Arrange the data in order from least to greatest
2,3,1,1,0,4
Least to greatest:
0,1,1,2,3,4
Then, find the number in the middle
In this case, there is 2 numbers in the middle, so we will take the average of those 2
1,2
To find the average, add up the numbers and divide by the number of terms
1+2=3
3/2=1.5
1.5 is the median
Which of the following is an example of a rational number?
Question 12 options:
A)
3.
B)
3.456733244…
C)
D)
∞
The solution to the system of equations is (-1, -7)
5x + y = -12
4x - y = 3
true or false
Answer:true
Step-by-step explanation:
Harry took a loan from the bank.
D represents Harry's remaining debt (in dollars) after t months.
What was the size of Harry's loan?
Answer:
Step-by-step explanation:
The " -200 " decreases the amount owed by $200 every month
So...he pays $200 per month
wHaT iS 203892489897238748 pLuS 2385938749757437186791879867949382
Try It!
1. Use a ruler and protractor to draw a quadrilateral with
two equal sides that meet at a right angle, and two
nonadjacent angles of the same measure. What is the
name of the quadrilateral you drew?
The quadrilateral I drew is a _____
Answer:
You drew a square
Answer:
It's a kite, I was on the edpuzzle.
I need help please thank u sm
vTriangles 1 and 2 are similar. What ratio relates a side length of triangle 1 to the corresponding side length of triangle 2? Fill in the box to complete the ratio.
Answer:
a
Step-by-step explanation:
Lin need need to mix a specific shade of orange for the set of the school play. The color uses 3 parts yellow for ever 2 parts red.
So I understand that for example: cups of red paint=6 and you have to multiply 6 by 3 to get 21 put I don’t know how to get the total cups of paint
Answer:
Could you provide more detail so that I can help. Perhaps a screenshot or photo of the problem?
Step-by-step explanation:
Round numerical answers to the nearest hundredth, if necessary.
A water bottle rocket is shot upward with an initial velocity of vi = 40 ft/s from the roof of a school, which is at hi = 70 ft above the ground. The equation h = −
1
2
at2 + vit + hi models the rocket's height as a function of time. The acceleration due to gravity a is 32 ft/s2.
We are to find how long will it take to return to the ground?
Answer:
t = 0.48 sec
Step-by-step explanation:
We are given;
initial velocity; vi = 40 ft/s
hi = 70 ft
acceleration due to gravity; a = 32 ft/s²
Now, we are given that the rocket's height as a function of time is;
h = -12at² + vit + hi
At ground, h = 0
Plugging in the relevant values to obtain ;
0 = -12(32)t² + 40t + 70
-384t² + 40t + 70 = 0
The roots of the equation gives; t = 0.48 sec
which equation has a constant of proportionality equal to 9?
Answer: 9y = 2x is the constant proportionality of 9
Step-by-step explanation:
Answer:
9y = 2x is the constant proportionality of 9
Step-by-step explanation:
The two dot plots compare ages of girls and boys in a pottery class.
Which group has a greater range?
Group of answer choices
A)girls
B)boys
C)the ranges are the same
Answer:the girls
Step-by-step explanation:
Find the value of x in the figure
Answer:
x=85
Step-by-step explanation:
The angles are vertical angles, therefore they are congruent. This means we can set them equal to each other.
x+5=90
Solve for x by isolating x. To do this, subtract 5 from both sides
x+5-5=90-5
x=85
So, x=85, and the second choice is correct.
Answer:
It is 85.
Step-by-step explanation:
The angles are vertical from each other so they are equal. 85+5=90.
What is the volume of this container
Answer:
1,875 cm^3
Step-by-step explanation:
To find the volume of the big square you would multiply 20x5x20= 2,000
to find the volume of the little square you would multiply 5x5x5= 125
Then to find the Volume of the square with the hole in it you would subtract 2,000 and 125 which = 1,875 cm^3
2. How many congruent angles does an isosceles right triangle have?
What are the measures of the three angles?
Final answer:
An isosceles right triangle has two congruent angles, which are both 45 degrees. The right angle measures 90 degrees.
Explanation:
An isosceles right triangle has two congruent angles. In this type of triangle, the two legs that form the right angle are of equal length. Let's call that length 'x'. The hypotenuse, which is the side opposite the right angle, is equal to 'x' times the square root of 2. The congruent angles in an isosceles right triangle are both 45 degrees, and the right angle measures 90 degrees.
Angle? Line? Line segment? Point?Ray?
Answer:
Ray XY
Step-by-step explanation:
Starts with a point ends with an arrow
Simon calculated the volume of the prism. His work is shown here. area of base = B = 1 2 bh = 1 2 (5)(13) = 32.5 m2 volume = Bh = 32.5(12) = 390 m3 A triangular prism. The triangular base has a base of 5 meters and height of 12 meters. The height is 4 meters. What errors did he make? Check all that apply. The area of the base is 30 m2, not 32.5 m2. The area of the base is 60 m2, not 32.5 m2. The area of the base is 78 m2, not 32.5 m2. The volume of the prism is 108 m3, not 390 m3. The volume of the prism is 120 m3, not 390 m3.
Answer:
A and E
Step-by-step explanation:
Answer:
a and e
Step-by-step explanation:
i got it right :)
Find the length of the missing side
The length of the missing side is
Answer:
52 m
Step-by-step explanation:
a^2 + b^2 = c^2
a^2 + 39^2 = 65^2
a^2 + 1521 = 4225
4225 - 1521 = 2704
Square root of 2704 = 52
Answer:
52m
Step-by-step explanation:
as this is a right angled triangle (has a 90° angle), you can use the Pythagoras theorem to work out the missing side.
Pythagoras theorem:
[tex]a^{2} + b^{2} = c^{2}[/tex]
side A squared (labeled on diagram below)
+ side B squared
= side C squared
for this example though, we don't know the length of side B so we need to swap around the formula.
[tex]c^{2} - a^{2} = b^{2}[/tex]
replace the letters for their numbers,
[tex]65^{2} - 39^{2} = b^{2}[/tex] (calculate)
[tex]65^{2} - 39^{2} = 2704[/tex]
2704 = b² but we want b by itself so we will square root b² (2704)
[tex]\sqrt{2704} = 52[/tex]
∴ side B = 52m (remember we were calculating in meters)
I hope this was helpful :-)
The histogram displays the tree growth in one year for a sample of trees measured at Shady Farms.
How many trees measured grew 10 or more inches over the year?
How many trees are represented in the histogram?
Answer:
1.48 2.100
Step-by-step explanation:
To find out how many trees grew 10 or more inches, you should look at the '10 or more inches' section of the histogram and check the frequency, which represents the tree count. To find the total number of trees represented, you should add up the frequencies of all growth rate sections.
Explanation:To determine how many trees measured grew 10 or more inches over the year, you need to look at the histogram for the section that represents 10 or more inches. The y-axis of a histogram indicates frequency, which in this case, means the number of trees. Count the number of instances within the section for 10 or more inches. The total number of trees represented in the histogram can be found by adding the frequency (tree counts) for each section which corresponds to tree growth rates.
For example, if the '10 or more inches' section shows a frequency of 20, it means 20 trees grew 10 or more inches over the year. If the frequencies corresponding to all growth rates total up to 50, it means the histogram represents 50 trees.
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Line
a
is parallel to line
b
. Which statement about lines
a
and
b
is true?
Math item stem image
Answer:
?
Step-by-step explanation: