The currency called the dollar can be divided or reduced into smaller forms also known as pennies, quarters, nickels and dimes.
The number of pennies is 5, the number of dimes is 5, the number of quarters is 30.
It is important to note that
a penny = $0.01
a dime = $0.10
a quarter = $0.25
Let's represent the number of
pennies = p
dimes = d
quarters = q
The number of pennies is equal to the number of dimes, hence:
p = q, so we can represent the number of pennies and dimes as y
The box currently contains 40 coins
So: 40 = y + y + q
q = 40 - 2y...........Equation 1
The total value of the coins is $8.05
So: 0.01y + 0.1y + 0.25q = 8.05 ........... Equation 2
We substitute 40 - 2y for q in Equation 2
0.01y + 0.1y + 0.25(40 - 2y) = 8.05
0.01y + 0.1y + 10 - 0.5y = 8.05
Collect like terms
0.01y + 0.1y - 0.5y = 8.05 - 10
-0.39y = -1.95
Divide both sides by -0.39
-0.39y/-0.39 = -1.95/0.39
y = 5
Since y represents the number of pennies and dimes, the number of pennies is 5 and the number of quarters is 5.
To solve for the number quarters, we would use equation 1
q = 40 - 2y...........Equation 1
q = 40 - 2 x 5
q = 40 - 10
q = 30
The number of quarters is 30.
Therefore, we have 5 pennies, 5 dimes, and 30 quarters.
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While making a sketch for art class, Justin drew the shape shown and then wanted to make sure the triangles were perfectly congruent. After labeling the figure, he used a ruler and found that DF and GE bisect each other at point H.
Which of the following could Justin use to prove ∆DEH ≅ ∆FGH?
A. SAS
B. SSA
C. definition of perpendicular bisector
D. alternate interior angles are congruent
The two triangles have a pair of corresponding sides as well as the
included angles between them that are equal.
Justin could prove that ΔDEH ≅ ΔFGH by A. SAS
Reason:
The known information are;
DF bisects GE, therefore; GH = EH
GE bisects DF, therefore; DH = FH
∠DHE = ∠FHG by vertical opposite angle theorem
Therefore;
DH and EH in triangle ΔDEH = FH and GH in triangle ΔFGH
∠DHE in triangle ΔDEH = ∠FHG in triangle ΔFGH
Therefore, two sides and an included angle triangle in ΔDEH are equal to (congruent) to the corresponding two sides and an included angle in ΔFGH.
Therefore;
ΔDEH ≅ ΔFGH by SAS, Side-Angle-Side congruency theorem
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The answer would be SAS
Step-by-step explanation: SAS
pls help with full thing
What is value of 4 to the power of negative 3
Answer:
[tex]\frac{1}{64}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]
and 4³ = 4 × 4 × 4 = 16 × 4 = 64
Then
[tex]4^{-3}[/tex] = [tex]\frac{1}{4^{3} }[/tex] = [tex]\frac{1}{64}[/tex]
Answer:
0.015625
uokcdjnjhxfukbgy
In London. I pint of milk costs 58p.
In Paris, 1 litre of milk costs 1.05 euros.
1 litre = 1.76 pints
£1 = 1.17 euros
In which city is the milk better value for money, London or Paris?
You must show your working.
Comparing the equivalent cost of Milk in Euro in the two countries, then we can conclude that Milk is a better value for money in Paris.
In other to make accurate comparison of the cost ; we need to using the same unit or milk and same currency value :
Cost of 1 pint of Milk in London :
1 pint = 0.58 pounds
The equivalent value of 1 pint of Milk in terms of Euro in London will be :
1 pound = 1.17 euro
0.58 pound = x
Cross multiply :
x = 1.17 × 0.58
x = 0.6786 euro
x = 0.68 euro
Hence, 1 pint of Milk cost 0.68 euro in London
Cost of 1 pint of Milk in Paris :
1 Litre = 1.76 pint
Hence,
1.76 pint = 1.05 euro
1 pint = c
1.76c = 1.05
c = 1.05 / 1.76
c = 0.597 euro
Hence, cost of 1 pint of Milk cost 0.60 euro in Paris
Therefore, since the cost of Milk in Paris cost less in Paris than in London, then Milk is a better value for money in Paris.
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Question 6
What is the slope of the line whose equation is
2y = 3x + 4?
Answer:
3/2 or 1.5
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation:
y = mx + c
m = the slope
2y = 3x + 4
y = 3x + 4 / 2
y = 1.5x + 2
slope = 1.5
What is the sum of the addition equation 0.6 + 0.2 = ________? Use the decimal grid to help you solve. (2 points)
a decimal grid partitioned into ten equal parts, with six parts shaded orange and two parts shaded purple
Group of answer choices
0.4
0.6
0.8
1
Help me, please!!!
Lesson 3-8. Write an equation for the line perpendicular to the given line through the given point.
Answer:
y = -3x + 14Step-by-step explanation:
Given line:
y = 1/3x - 2/5Perpendicular lines have negative-reciprocal slopes.
We will have a line:
y = -3x + bUse the coordinates of the given point to find the value of b:
-1 = -3(5) + b-1 = - 15 + bb = 14So the line is:
y = -3x + 144/5+8/9 (don’t mind this)
Answer:
Excact Form
76/45Decimal Form
1.68 The 8 repeates itselfMixed Number
1 31/45Step-by-step explanation:
To add fractions, find the least common denominator and then combine
How many cups of water are needed for 12 cups of flour?
2 CUPS OF WATER FOR 3 CUPS OF FLOUR
SO 1 CUP = 1.5 water
SO MULTIPLY AND FIND THE ANSWER
HELP PLEASE!!!!.......
Answer:
Step-by-step explanation:
-1/2x-3
=-1/2x+-3
=-1/2x-3
using quadratic regression what parabola uses the points (4,80), (-3,-11), (-1,-15)? i need help badly i don’t understand this at all
Answer:
How do you find a quadratic regression from points?
Image result for using quadratic regression what parabola uses the points (4,80), (-3,-11), (-1,-15)?
Quadratic regression is the process of determining the equation of a parabola that best fits a set of data. This set of data is a given set of graph points that make up the shape of a parabola. The equation of the parabola is y = ax2 + bx + c, where a can never equal zero
Step-by-step explanation:
How many inches are in 4 meters? meters > feet inches 4 m/1 × a/b × c/d = 157.48 in. 1. b d b
a =
b =
c =
d =
Answer:28 / 4 = -7.
Step-by-step explanation:
28 / 4 = -7.28 / 4 = -7.28 / 4 = -7.
6. A linear function f(x) contains the coordinates (-9, 4) and (6,4). Joy says f(x) is a horizontal
line, and Lu says f(x) is a vertical line. Which student correctly described the function?
Explain.
Answer: Horizontal Line
Step-by-step explanation:
Joy is correct. This is a horizontal line. It has the same y coordinates so it will be a horizontal line.
Joy is saying correct by saying it is a horizontal line.
What is coordinates?Coordinates are a set of values which helps to show the exact position of a point in the coordinate plane.
Given:
coordinates (-9, 4) and (6,4)
If we plot these point on the graph it will have the y- coordinates same for both coordinates.
Also, if the graph have same y- coordinates then the line joining these points are horizontal in nature.
Hence, Joy is saying correct by saying it is a horizontal line.
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#SPJ5
Imagine you are a restaurant owner. Your total food cost is $85,000 and your total food sales are $250,000. What is your food cost percentage? *
1 point
25%
34%
37%
38%
I need a word question that makes sense as in it gets the right answer, it has to be a negative divided by a positive
Answer:
-9 ÷ 3 = -3
Step-by-step explanation:
is this what you need?
i need help on math please solve this
Answer:
6/13
Step-by-step explanation:
because if you do 10-4=6
please whats-2 5/ 11 - 7 1/11
Answer:
=-2(5/11)-7(1/11)
=-10/11-7/11
=(-10-7)/11
=-3/11
What is the length of time
passed from 3:45 p.m. to 10 p.m.?
Answer:
your answer is the length of time is 7 hours and 15 minutes
Step-by-step explanation:
hope it helps
Write the equation of the line, in standard form, that passes through the points (-2, 2)
and (4, 5). Show all work
What is an algebraic expression for this word phrase?
5 more than the product of 7 and n
5 + 7n
5(7+n)
7(5+n)
5 + 7 + n
Answer:
The value of the algebraic expression when n is given as 6 will be 38.
An algebraic expression is when we use numbers and words in solving a particular mathematical question.
Based on the information given in the question, the expression will be:
= 1 + 7n - 5
Note that the value of n = 6
Therefore, 1 + 7n - 5 will be:
= 1 + 7n - 5
= 1 + 7(6) - 5
= 1 + 42 - 5
= 38
Step-by-step explanation:Therefore, the value of the algebraic expression when n is given as 6 is 38.
Need help . Explain if you can . The options are
Additive property of length
All right angles are congruent
Definition of angle bisector
Definition of equilateral triangle
Definition of midpoint
Vertical angle theorem
9514 1404 393
Answer:
Definition of midpoint
Step-by-step explanation:
The statement you're trying to justify is one that relates two line segments. (It says they're congruent.) This does not involve angles or triangles, and no addition of length is involved. The only reasonable choice on the list (and the correct one) is ...
Definition of midpoint
__
A midpoint is a point that divides a line segment into two congruent parts. Since W is said to be the midpoint (given), it must divide UV such that UW ≅ VW, the statement we're trying to justify.
The number T of teams that have participated in a robot-building competition for high-school students over a recent period of time x(in years) can be modeled by T(x) = 17.155x^2 + 193.68x + 235.81, 0 ≤ x ≤ 6.
After how many years is the number of teams greater than 1000? Justify your answer.
Solving the quadratic equation, it is found that the number of teams is greater than 1000 after 3.1 years.
The number of teams after x years is given by:
[tex]T(x) = 17.155x^2 + 193.68x + 235.81[/tex]
Initially, there are T(0) = 236 teams. If will 1000 be when T(x) = 1000, thus:
[tex]17.155x^2 + 193.68x + 235.81 = 1000[/tex]
[tex]17.155x^2 + 193.68x - 764.19 = 0[/tex]
Which has coefficients [tex]a = 17.155, b = 193.68, c = -764.19[/tex], then:
[tex]\Delta = (193.68)^2 - 4(17.155)(-764.19) = 89950.66[/tex]
[tex]x_{1} = \frac{-193.68 + \sqrt{89950.66}}{2(17.155)} = 3.1[/tex]
[tex]x_{2} = \frac{-193.68 - \sqrt{89950.66}}{2(17.155)} = -14.3[/tex]
We want the positive root, so the number of teams is greater than 1000 after 3.1 years.
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Brandon bought a pair of sneakers for $55
that had a regular price of $90.
Answer:
brandon paid $35 more than retail value.
Answer:
Dirty 5 more than retail value
Planes T and X are parallel. Plane T contains like a. plane x contains line b
Answer:
c lines
Step-by-step explanation:
a square has a perimeter of 72 units. if its length measures 3y and its width measures 2x, what is the area of the square
Answer:
324
Step-by-step explanation:
square has 4 sides.
perimeter adds all sides to make 72
72/4=18 units each side
length * width =area of square
square has all sides equal, so 3y and 2x are tricks to confuse. All sides are 18.
18*18= 324
Bro Pls Help Me With Math
Answer:
distributive property of multiplication.
Step-by-step explanation:
What is the slope of the line on the graph?
Answer:
5/12
Step-by-step explanation:
It goes up 5 and over 12.
2p³+5p²+6p+15. Solve by grouping
Answer:
[tex]2 {p}^{3} + 5 {p}^{2} + 6p + 15[/tex]
Step-by-step explanation:
there are not any like terms, so you can not add anything together.
like terms means it has the same variable (letter) and exponent or it is a constant (a number by itself)
100x100x100x100x100x100x100+=
Answer:
100,000,000,000,000
PLEASE PLEASE PLEASE HELP ME ^^
PRETTY PLEEEASE
Step-by-step explanation:
Think of it this way what if an exponent had 1 so like 10^1
that still equals 10, and does not change anything, so you need to add one more to the exponent as the first number does not change how many types the number is multiplied. Hope this helps