Answer:
See explanations below
Step-by-step explanation:
Let the amount of nickel be x
Let the amount of pennies be y
Let the amount of quarters be z
If the the total value of the coins is 3.88, then;
x+y+z = 3.88 .... 1
If Anita has 4 more nickels than pennies, then;
x = y + 4 ... 2
If she has 2 more than 4 times the number of quarters than pennies, then;
y = 2 + 4z
4z = y-2
z = (y-2)/4 ...3
Substitute 2 and 3 into 1
y+4+y+(y-2)/4 = 3.88
4y+16+4y + y-2 = 15.52
9y + 14 = 15.52
9y = 15.52 - 14
9y = 1.52
y = 1.52/9
y = 0.17
Since x = y + 4
x = 0.17+4
x = 4.17
z = y-2/4
z = 0.17-2/4
z = -1.83/4
z = - 0.46
coordinate planes
again
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Ann and Betty shared a sum of money in the ratio 2:3. If Ann received $120,what was the amount of money shared?
Answer:
$420
Step-by-step explanation:
Given data
GIven ratio= 2:3
The total ratio= 2+5= 7
Ann's share= $120
Let us apply the part to all approach
let the total amount be x
so for Ann
2/7= 120/x
cross multiply
2x= 120*7
2x= 840
divide both sides by 2
x= 840/2
x= 420
Hence the amount shared is $420
78 is 65% of what number (can someone explain how to solve this?)
Answer:
120
Step-by-step explanation:
78 is 65% of what number.
Let's break down this expression.
In this case "is" means "equals" so we will use the equal sign (=)
65% can be written as 0.65 or 65/100
"of" indicates multiplication
"what number" will be represented by x.
Now, put this all together.
78 = 0.65 • x
To solve for x, divide both sides by 0.65
120 = x
This is your answer.
Check this by finding 65% of 120.
0.65 • 120 = 78
Your answer is correct.
Hope this helps!
The expressions p(200-5p)and 200p-5p2define the same function. The function models the revenue a school would earn from selling raffle tickets at p dollars each.
At what price or prices would the school collect $0 revenue from raffle sales? Explain or show your reasoning.
The school staff noticed that there are two ticket prices that would both result in a revenue of $500. How would you find out what those two prices are?
I really have no idea. If anyone could help that would be great!
The prices which the school would collect $0 revenue are $0 and $ 40 respectively.
Since the revenue R(p) = p(200 - 5p).
The price at which the school earn s $0 revenue from the raffle sales is when R(p) = 0.
So, p(200 - 5p) = 0
p = 0 or 200 - 5p = 0
p = 0 or 200 = 5p
p = 0 or p = 200/5 = 4
So, the prices which the school would collect $0 revenue are $0 and $ 40 respectively.
b. Prices at $500 revenueThe two ticket prices that would produce a revenue of $500 are $2.68 and $ 37.32
We need to find the two ticket prices that would result in a revenue of $500. So, R(p) = 500.
So, p(200 - 5p) = 500
200p - 5p² = 500
Re-arranging, we have
5p² - 200p + 500 = 0
Dividing through by 5, we have
p² - 40p + 100 = 0
Using the quadratic formula, we find the value of p.
So,
[tex]p = \frac{-(-40) +/- \sqrt{(-40)^{2} - 4 X 1 X 100} }{2 X 1} \\p = \frac{40 +/- \sqrt{1600 - 400} }{2} \\p = \frac{40)+/- \sqrt{1200} }{2} \\p = \frac{40 +/- 34.64 }{2} \\p = \frac{40 - 34.64 }{2} or p = \frac{40 + 34.64 }{2} \\p = \frac{5.36}{2} or p = \frac{74.64 }{2} \\p = 2.68 or 37.32[/tex]
So, the two ticket prices that would produce a revenue of $500 are $2.68 and $ 37.32
Learn more about revenue here:
https://brainly.com/question/25623677
WILL GIVE BRAINLIEST
h−6 ≤−8.4
hope you have a good day stay safe
Answer:
h ≤ -12/5
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "8.4" was replaced by "(84/10)".
Rearrange:
Rearrange the equation by subtracting what is to the right of the less equal sign from both sides of the inequality :
h-6-(-(84/10))≤0
Step by step solution :
STEP
1
:
42
Simplify ——
5
Equation at the end of step
1
:
42
(h - 6) - (0 - ——) ≤ 0
5
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 5 as the denominator :
h - 6 (h - 6) • 5
h - 6 = ————— = ———————————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(h-6) • 5 - (-42) 5h + 12
————————————————— = ———————
5 5
Equation at the end of step
2
:
5h + 12
——————— ≤ 0
5
STEP
3
:
3.1 Multiply both sides by 5
3.2 Divide both sides by 5
h+(12/5) ≤ 0
Solve Basic Inequality :
3.3 Subtract 12/5 from both sides
h ≤ -12/5
Inequality Plot :
3.4 Inequality plot for
h + 2.400 ≤ 0
The value of h is less than or equal to -2.4.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
h−6 ≤−8.4
Now, add both side 6
h−6 + 6 ≤−8.4 + 6
h ≤−2.4
Hence, the value of h is less than or equal to -2.4
Learn more about inequality here:
https://brainly.com/question/28823603
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If x=2,find the value of x²+1/x²
Answer:
17/4 or 4 1/4
Step-by-step explanation:
Substitute x = 2 into the expression x² + 1/x².
(2)² + 1/(2)²Evaluate the exponents in the expression.
(4) + 1/(4) 4 + 1/4Multiply 4 by 4/4 to get a common denominator of 4.
16/4 + 1/4Add the numerators together.
17/4The value of x² + 1/x² if x = 2 is 17/4, or 4 1/4.
How can I tell if a system of equations has one, no, or infinitely many solutions?
Answer:
There are many ways to interpret if whether or not a system of equations has solutions or not. Here is one way that is most ideal for most, if not, all equations: using graphs.
If the graphs of the set of equations do NOT intersect, then there are no solutions (because no x or y value will ever make both equations true)If the graphs of the set of equations DO intersect at one point, then ONLY that one point will make both equations true. (One solution)If the graphs of the set of equations are identical on the graph, then there are infinite solutions that make both equations true.
Lella is fertilizing her garden. The garden is in the shape of a rectangle. Its length is 14 feet and its width is 11 feet. Suppose each bag of fertilizer covers 22
square feet. How many bags will she need to cover the garden?
Answer:
Step-by-step explanation:
14ft(11ft)(b/22ft^2)=7b
She will need 7 bags of fertilizer.
Kate bought a house for 198,000 and then sold it for 230,000 one year later. What is the profit as a percentage?
Answer:
profit as a percentage= 21.74%
Step-by-step explanation:
Giving the following information:
Purchase price= $180,000
Selling price= $230,000
To calculate the profit as a percentage, we need to use the following formula:
profit as a percentage= (profit/selling price)*100
profit as a percentage= 50,000/230,000*100
profit as a percentage= 21.74%
Find the Slope-intercept equation of the line which passes through (3, -4) and (-3, 8).
Answer:
y = -2x + 2
Step-by-step explanation:
8 + 4/ -6
= -2
y = -2x + b
8 = -2(-3) + b
8 = 6 + b
2 = b
check work
-4 = -2(3) + 2
-4 = -6 + 2
-4 = -4
it is correct
HELP ASAP!!!!!!! PLEASEEEEE
Answer:
B
Step-by-step explanation:
This asks for data from multiple people, and it not just a yes or no question
I NEED HELP ASAP
8-4: MathXL for School: Practice & Problem Solving
O Assignment is past due (03/12/
8.4.PS-11
Question Help
Z1 and 22 are complementary angles. The measure of Z1 is 38°
The measure of Z2 is 4x. Find the value of x. The figure is not drawn
to scale.
1
The value of x is
va
VI
(1,1)
More
Enter your answer in the answer box and then click Check Answer
All parts showing
Clear All
Check
Answer:
your answer will be x=13
Step-by-step explanation:
hope it helps.
-3(d + -2) + -4 = 5
solve for d
Answer:
d=−1
Step-by-step explanation:
−3(d−2)−4=5
Step 1: Simplify both sides of the equation.
−3(d−2)−4=5
(−3)(d)+(−3)(−2)+−4=5(Distribute)
−3d+6+−4=5
(−3d)+(6+−4)=5(Combine Like Terms)
−3d+2=5
−3d+2=5
Step 2: Subtract 2 from both sides.
−3d+2−2=5−2
−3d=3
Step 3: Divide both sides by -3.
−3d
−3
=
3
−3
d=−1
[tex]-3(d+(-2))+(-4)=5[/tex]
[tex]-3d-6+(-4)=5\\-3d-10=-5\\-3d=5\\3d=-5\\d=-\frac{5}{3}[/tex]
HELP ASAPPPPP NO WRONG ANSWER PLS
Answer:
40
Step-by-step explanation:
one cubic cm would be 2x2x2=8 half cm³
you have 1x2x2.5 cm cube = 5 cm³
5 x 8 = 40
another way to look at it:
2 1/2 = 5 half-cubes long
2 = 4 half cubes wide
1 = 2 half cubes tall
5 x 4 x 2 = 40
Find the area of the composite figure below.
Answer:
96m
Step-by-step explanation:
Amy works at an orange juice stand on Monday she used 1 2/5 bags of oranges on Tuesday she used 1 1/4 times as many oranges as on Monday how many bags did she use on tuesday do you know???
what polygon is formed?
Answer:
Polygons are figures that are formed by three or more line segments. These line segments, even called sides, meet at their endpoints to form vertices. If we compare the number of sides, diagonals and triangles of a quadrilateral a pentagon and a hexagon we can find a system between the different polygons.
Step-by-step explanation:
Can u help me with my work pls
Answer:
The mountain is 8.
The map is 96.
The compass is 6.
The hiker is 54.
The train is 14.
The a corn is 26
Hope this helps.
SOLVE: 3/4 x 4/5 = *
3
4
×
4
5
=
3
5
Result in decimals: 0.6
Calculation steps:
3
4
×
4
5
=
3 × 4
4 × 5
=
12
20
=
12 ÷ 4
20 ÷ 4
=
3
5
A cube has a total surface area of 150 inches squared. Considering every side length is
congruent, and every face equivalent on a cube, what is the side length?
Answer:25.0
Step-by-step explanation: 5.0 times 5.0
Hey !! Can someone please help me with this??
Answer:
[tex]8^2[/tex] and 4 x 4 x 4
Step-by-step explanation:
4 to the third power, is the same as 4 x 4 x 4.
This is then equal to 64.
8 squared is also equal to 64, making it also an answer.
None of the other ones work.
Hope this helps and have a nice day!! :) :] :D
Work out the size of angle x.
38°
х
101
Answer:
41°
Step-by-step explanation:
the sum of the interior angles is 180 degree
so,
38 + x + 101 = 180
139 +x = 180
x = 180 - 139
x= 41°
Somebody help me plzz
Answer:
60
Step-by-step explanation:
straight line =180
180-120=60
is this the area of a this
pls help and explain
Answer:
Step-by-step explanation:
so first what you want to do is split the shape in to
Draw a line down where the 2 is.
you should have a rectangle and a triangle
then you find the area of the rectangle
Rectangle:
5 x 2 = 10m^2
After than you try to find the triangles area
the bottom of the triangle is 9m but since to split it in 2 you will now have 7m
multiple 5 times 7 and you will receive 35 then you divide that by 2 and you will have 17.5m^2
Add your two areas together and you will get 27.5m^2
please help, thank youu! :)
Answer:
false is the write answer you can write it
Answer:
false
Step-by-step explanation:
if u divide y÷x each time u won't get the same answer so I t wouldn't be proportional
A chess club has 24 members, of which 1 is a male and the rest are females.
What is the ratio of males to all club members?
Answer:
1:24
Step-by-step explanation:
hope this helped
A florist used 18 flowers to make a bouquet, including 8 lilies.
What is the probability that a randomly selected flower will be a lily?
Write your answer as a fraction or whole number.
Answer:
4/9 will be the probability.
Hope it helps you!!
Write an equation in point-slope form that describes the line with a slope of -3 that contains the point (1,2)
Answer:
y - 2 = -3(x - 1)Step-by-step explanation:
The point-slope form of the equation that describes the line with a slope of m that contains the point (x₀, y₀) is: y - y₀ = m(x - x₀)
m = - 3
(1, 2) ⇒ x₀ = 1, y₀ = 2
Therefore:
y - 2 = -3(x - 1)
Write an equation of the line that passes through (18, 2) and is parallel to the line 3y - x = -12.
Answer:
3y=x-12
y=x/3-4
m=1/3
At (18,2)
y-2=1/3(x-18)
y-2=x/3 - 6
y=x/3 - 4